02341_02413_02431_04213_04231_20341_20413_20431_23041
Counting sequence:
1, 1, 2, 6, 24, 111, 546, 2762, 14200, 73887, 388409, 2060542, 11021931, 59396792, 322232488, 1758648248, 9649982956, 53208146080, 294665208539, 1638323429341, 9141843254029, 51179241261866, 287381629847972, 1618164162470222, 9134611240679163, 51686538753126316, 293095897148274730, 1665404690926479898, 9480849175417407226, 54067674790414204596, 308845969910109281325, 1766913673513726062513, 10123186899738121045544, 58077866600993125046950, 333627344304467436317079, 1918841615589515955694506, 11048786029959494104163769, 63688589503218276925160635, 367498900366679725671633598, 2122635076336808757678340034, 12271529278119029717084003381, 71007915806467013997945493536, 411226968858539672814864481340, 2383451965524746439761372834922, 13825013940619452748683412885877, 80249899864682740759624152263221, 466154081721326119984274741474893, 2709615919968577233838734154048576, 15760398673731736391909417535138071, 91726870222208391203727776250857352, 534177047827978978978079720269933365, 3112598613150193471003566781086983736, 18146831578185277967275838498054495689, 105854509156890355776870352936691394034, 617789244576710023800225662848354847896, 3607329096885131680321859004968183802017, 21073567588787241250900696306575838392226, 123165782819481924262485632555923460747382, 720169925934205667373163504580397542467826, 4212756247097102811465256876743846062457029, 24653465570245956197550681235183353730714306, 144332479991679935142001148131638166888361188, 845315934098834437264403365462412188493547071, 4952649771710539742575485557077417545701154793, 29027838808251740878189914354844182699159868401, 170194485005045222262152281570415536292620277225, 998217888449817049796091730066586304064413398676, 5856658382034245975419488088052292161827992959638, 34372799250091744294069694782731234840447983612666, 201797761053272721490543484002948199834191205658971, 1185087333892938213297588308130317901429640502702954, 6961666922150220125250302221874705471997055245059052, 40907359678807000479442034262910576103338245503169001, 240442690601760455637778470702340719189152645421431412, 1413645008738722200184666830507969439338564536382329958, 8313514669986241154895192240076625636190974635553411893, 48903672586345614139615890516131410479002866998416340448, 287745068672227932718114245325906031312340866695256943628, 1693484099399790833953730145668437957968258826687171869604, 9969158346725711505028192743346652709439174241595522091067, 58699907894403808582312204542862822785450177953100668045617, 345712762335719913645319892850596302228123114979850445267674, 2036526539911758744649232221959898088503211054477723455560421, 11999387932295390447546591212281075889543549825128361013537743, 70716416040177141499638575865992120654258494520184698354551577, 416841900384407518377746441261997116752981144164640946906046223, 2457595436323667554933283777262681100570312071737830643179430403, 14492233082803550853788644571153778481779909538417530699824865438, 85475998803711461335918341165656965613385263091965259934408771380, 504237499679477598182926644304721155656296315725560697697513639875, 2975132881992626036665771618301182176736711102735030695986839156089, 17557234679273589323925705098393977635622161317823730662815909642738, 103629328521013258792919917176177248248690121301749108846602242615551, 611764732280735784378786424946649644369888458560024343352253443960221, 3612100147512834714380672471409042969763424410274140071601672201564419, 21330801955735406467728952216965312452213813032318981863025223081388663, 125986829617403659517698747597894489557291155661825960069892148197888457, 744238664398024638236381434913729870261535694859580360783831422087775777, 4397106916466694217644290589706931483047550059988507386541259491559132541, 25982933348546157724482497248236657890154751597953507705576452507912099667, 153558680045714163419315842975760234999956406159031144724387946648172514827
Implicit equation for the generating function in Maple syntax:
(x-1)*(3*x-1)*(4*x-3)*x^3*F(x)^4-x^2*(29*x^3-58*x^2+37*x-7)*F(x)^3+x*(x-1)*(12*x^3+3*x^2-17*x+5)*F(x)^2-(x-1)*(13*x^3-13*x^2+1)*F(x)+(3*x-1)*(x-1)^2 = 0
Implicit equation for the generating function in latex syntax:
\left(x -1\right) \left(3 x -1\right) \left(4 x -3\right) x^{3} F \! \left(x \right)^{4}-x^{2} \left(29 x^{3}-58 x^{2}+37 x -7\right) F \! \left(x \right)^{3}+x \left(x -1\right) \left(12 x^{3}+3 x^{2}-17 x +5\right) F \! \left(x \right)^{2}-\left(x -1\right) \left(13 x^{3}-13 x^{2}+1\right) F \! \left(x \right)+\left(3 x -1\right) \left(x -1\right)^{2} = 0
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 111
a(6) = 546
a(7) = 2762
a(8) = 14200
a(9) = 73887
a(10) = 388409
a(11) = 2060542
a(12) = 11021931
a(13) = 59396792
a(14) = 322232488
a(15) = 1758648248
a(16) = 9649982956
a(17) = 53208146080
a(18) = 294665208539
a(19) = 1638323429341
a(20) = 9141843254029
a(21) = 51179241261866
a(22) = 287381629847972
a(23) = 1618164162470222
a(24) = 9134611240679163
a(25) = 51686538753126316
a(26) = 293095897148274730
a(27) = 1665404690926479898
a(28) = 9480849175417407226
a(29) = 54067674790414204596
a(30) = 308845969910109281325
a(31) = 1766913673513726062513
a(32) = 10123186899738121045544
a(33) = 58077866600993125046950
a(34) = 333627344304467436317079
a(35) = 1918841615589515955694506
a(36) = 11048786029959494104163769
a(37) = 63688589503218276925160635
a(38) = 367498900366679725671633598
a(39) = 2122635076336808757678340034
a(40) = 12271529278119029717084003381
a(41) = 71007915806467013997945493536
a(42) = 411226968858539672814864481340
a(43) = 2383451965524746439761372834922
a(44) = 13825013940619452748683412885877
a(45) = 80249899864682740759624152263221
a(46) = 466154081721326119984274741474893
a(47) = 2709615919968577233838734154048576
a(48) = 15760398673731736391909417535138071
a(49) = 91726870222208391203727776250857352
a(50) = 534177047827978978978079720269933365
a(51) = 3112598613150193471003566781086983736
a(52) = 18146831578185277967275838498054495689
a(53) = 105854509156890355776870352936691394034
a(54) = 617789244576710023800225662848354847896
a(55) = 3607329096885131680321859004968183802017
a(56) = 21073567588787241250900696306575838392226
a(57) = 123165782819481924262485632555923460747382
a(58) = 720169925934205667373163504580397542467826
a(n+59) = -1/28224*(247555477275220231280719608223*n^3+13433889144164572584896852198106*n^2+242819824168307659621142017282715*n+1461947884550496369261969060621540)/(n+60)/(n+59)/(2*n+119)*a(n+17)+1/28224*(156107512969087606607842501319*n^3+8021941979232376080010705250868*n^2+137278232496467970267654702331105*n+782362894385809021922409810757920)/(n+60)/(n+59)/(2*n+119)*a(n+16)-1/4704*(14900061694063867561471703639*n^3+723012418813886081015545034223*n^2+11680248663454533193727223749768*n+62825218110775288156952744950020)/(n+60)/(n+59)/(2*n+119)*a(n+15)+1/4704*(7703629676735889425528818203*n^3+351911835389152072195574836220*n^2+5350031408537932999682036008081*n+27070999537989711261607878210544)/(n+60)/(n+59)/(2*n+119)*a(n+14)-1/28224*(21414109129973837830426549813*n^3+917942831710667318154329973597*n^2+13088112919500873205087084107692*n+62079811370129451780669175270692)/(n+60)/(n+59)/(2*n+119)*a(n+13)+1/14112*(4401756625507241958224292115*n^3+176473358941681777565995276440*n^2+2351354049304676952591400503599*n+10414847334464082648608192737446)/(n+60)/(n+59)/(2*n+119)*a(n+12)-1/28224*(3168671470266593224383406753*n^3+118445287810134420691814292543*n^2+1469491925724921475182847201052*n+6053693447363413664157839269440)/(n+60)/(n+59)/(2*n+119)*a(n+11)+1/28224*(978816538869389348316373279*n^3+34041382032562287012530744442*n^2+392028066617977430122154406701*n+1496258387459543504590797125370)/(n+60)/(n+59)/(2*n+119)*a(n+10)-1/9408*(83663360580635324984619723*n^3+2710291780124965926995646485*n^2+28940709143791311330255486506*n+102056382777191813094236965904)/(n+60)/(n+59)/(2*n+119)*a(n+9)+1/28224*(49909145417762677744405829*n^3+1525758875216944086231184398*n^2+15199844755418980550853780169*n+49607593999185477802958646216)/(n+60)/(n+59)/(2*n+119)*a(n+8)-4284230123520000/49*(2*n+1)*(n+2)*(n+1)/(n+60)/(n+59)/(2*n+119)*a(n)-1/14112*(3123014247163584002403670*n^3+97262717922916632284550561*n^2+940976056067809777763817761*n+2903258741546345354187769464)/(n+60)/(n+59)/(2*n+119)*a(n+7)-1/588*(3139058437854009321775*n^3-126204528883817655507453*n^2-2106234521538434230456015*n-7492585646314077202103475)/(n+60)/(n+59)/(2*n+119)*a(n+6)+3/98*(374939713290084622130*n^3+4990046349937987895793*n^2+20376322562809136821479*n+23526162677353561428686)/(n+60)/(n+59)/(2*n+119)*a(n+5)-24/49*(6919493882884897520*n^3+90155597543139753951*n^2+388939182284944629955*n+555228987721174744074)/(n+60)/(n+59)/(2*n+119)*a(n+4)+288/49*(103032789525144818*n^3+1141766970006991377*n^2+4216458416360326933*n+5188653128344307844)/(n+60)/(n+59)/(2*n+119)*a(n+3)-41472/49*(84119733747562*n^3+731502854545683*n^2+2110415921139971*n+2018231631461940)/(n+60)/(n+59)/(2*n+119)*a(n+2)-1/4704*(108210464587814510607450009089*n^3+7764777317209849652750623247141*n^2+185684241544295496444591152566383*n+1479819878023400487977319940204265)/(n+60)/(n+59)/(2*n+119)*a(n+23)+1/28224*(675311268758873244666843322135*n^3+46475312594275848953163762306129*n^2+1065874309696840270185821334144608*n+8146238150665278541989125895614148)/(n+60)/(n+59)/(2*n+119)*a(n+22)-1/4704*(108403202572562367233900599971*n^3+7142940788266416319478101897666*n^2+156838192076115057395615842535374*n+1147544098983125599410092788673189)/(n+60)/(n+59)/(2*n+119)*a(n+21)-1/28224*(265262959132210663381876844476*n^3+22167131777907281690080023692703*n^2+617424034158970915713255162522617*n+5731905253376126961167170055482212)/(n+60)/(n+59)/(2*n+119)*a(n+27)+1/14112*(289445255940341145171855000212*n^3+18226945759106369889543863267601*n^2+382445635906873251784269427153018*n+2673856007667748450671874941762696)/(n+60)/(n+59)/(2*n+119)*a(n+20)-1/28224*(474971115469716842194716439717*n^3+28526850708465703604829681758199*n^2+570833326942214022199850762230730*n+3805744002617401801823424334445970)/(n+60)/(n+59)/(2*n+119)*a(n+19)+1/28224*(358242089524366140424768643800*n^3+20476328759039856088477218100677*n^2+389893602649454717768779881562211*n+2473244738932011188797368101160486)/(n+60)/(n+59)/(2*n+119)*a(n+18)-1/9408*(504209472938448445113993523*n^3+54165866956945434704122564036*n^2+1939650362639766425943973662237*n+23152834382623437994437818369270)/(n+60)/(n+59)/(2*n+119)*a(n+35)+1/28224*(579037604223591564187417403*n^3+63937705784727168661153737144*n^2+2353380343373918601028363574215*n+28874328184601076548999710001004)/(n+60)/(n+59)/(2*n+119)*a(n+36)-1/7056*(51576494068059824234098460*n^3+5849490425311806005749583655*n^2+221141511222866246489413568206*n+2786816899805731812423732479763)/(n+60)/(n+59)/(2*n+119)*a(n+37)+1/14112*(34167274190570578425290405*n^3+3977285781823539133337201763*n^2+154329899228949796410740420707*n+1996181676060056917781111074089)/(n+60)/(n+59)/(2*n+119)*a(n+38)-1/28224*(21012494710200484937788907*n^3+2508833284876224509962847181*n^2+99851182280521711914862966036*n+1324712877914076957115297424964)/(n+60)/(n+59)/(2*n+119)*a(n+39)+1/9408*(1996049652036931476695096*n^3+244288607613409443755762079*n^2+9966035008528735204188824573*n+135527943789292075182284082610)/(n+60)/(n+59)/(2*n+119)*a(n+40)-1/28224*(1578435956252052916266016*n^3+197892081249520199129877813*n^2+8270219273839989706824233987*n+115210677346139780681771221128)/(n+60)/(n+59)/(2*n+119)*a(n+41)+1/9408*(127985361825051366058514*n^3+16427619400208840592168347*n^2+702871200181736376736796045*n+10024520376615733499477739284)/(n+60)/(n+59)/(2*n+119)*a(n+42)-1/28224*(85960502750141815303873*n^3+11289648464083841928789789*n^2+494251657077282183857497202*n+7212769615450873120373309022)/(n+60)/(n+59)/(2*n+119)*a(n+43)+1/28224*(17657987067926901023306*n^3+2371671764465311911565305*n^2+106182645295723788489794971*n+1584667134265362953809512786)/(n+60)/(n+59)/(2*n+119)*a(n+44)-1/28224*(3316354698865518651485*n^3+455282695399968128684061*n^2+20834645000862724134587032*n+317816072856113744896268142)/(n+60)/(n+59)/(2*n+119)*a(n+45)+1/28224*(567105510242017996132*n^3+79538123336197593006369*n^2+3718525355146374474511439*n+57949554603432281130160548)/(n+60)/(n+59)/(2*n+119)*a(n+46)+1/28224*(579032516240980055050910673838*n^3+43253150224063110147062860790505*n^2+1076802948231772965863232694845521*n+8934277878053956277582384731943412)/(n+60)/(n+59)/(2*n+119)*a(n+24)-1/28224*(479728399912553310864070036978*n^3+37250198853572416345171276968933*n^2+964006725432534611548074106445837*n+8314775774619374168171058521935302)/(n+60)/(n+59)/(2*n+119)*a(n+25)+1/28224*(369690429017856067383394973912*n^3+29798712606590928642000230878059*n^2+800548120276074583515912669444055*n+7168173447758281499865482570982918)/(n+60)/(n+59)/(2*n+119)*a(n+26)+1/14112*(8838053010561432694057057532*n^3+870145127225474664704617792374*n^2+28556228517202189772803907191996*n+312380577298226792802139102738737)/(n+60)/(n+59)/(2*n+119)*a(n+32)-1/9408*(2784097437516612931019723951*n^3+282428331938414658130731592732*n^2+9550142662193353961798658185363*n+107643833093974860912586746729848)/(n+60)/(n+59)/(2*n+119)*a(n+33)+1/9408*(1227081613274887045706050743*n^3+128149823497155495782234720756*n^2+4461113928211921173367855640959*n+51766555496931969240662852369662)/(n+60)/(n+59)/(2*n+119)*a(n+34)+1/28224*(177364785759158751696505213424*n^3+15348180127021226723902928210709*n^2+442686670324890161039892711025177*n+4255849472047613260594226305566420)/(n+60)/(n+59)/(2*n+119)*a(n+28)-1/14112*(55290828609157128488047607075*n^3+4948960534833038292918956142309*n^2+147649695632888255939731782890185*n+1468280032530443431032944160365793)/(n+60)/(n+59)/(2*n+119)*a(n+29)+1/4704*(10719224175582652041934677180*n^3+991377322560975361039606379754*n^2+30561785854834516318012798671060*n+314038309348388777299261901843579)/(n+60)/(n+59)/(2*n+119)*a(n+30)-1/28224*(34903776547270252213825012541*n^3+3332205253325508010308513867312*n^2+106037777912033151075726394512319*n+1124757832997994118262633935935510)/(n+60)/(n+59)/(2*n+119)*a(n+31)-1/9408*(112012993*n^3+19340291585*n^2+1113087160238*n+21353393413360)/(n+60)/(n+59)/(2*n+119)*a(n+57)-5/28224*(61143497057*n^3+10198917104082*n^2+567063976669015*n+10509554796923034)/(n+60)/(n+59)/(2*n+119)*a(n+55)+1/9408*(3944253252*n^3+669474792523*n^2+37877087413683*n+714318466188470)/(n+60)/(n+59)/(2*n+119)*a(n+56)-1/28224*(101809170160157*n^3+16384009425611973*n^2+878881100361252268*n+15715086199187502762)/(n+60)/(n+59)/(2*n+119)*a(n+53)+1/9408*(2060117801996*n^3+337586759486297*n^2+18439715070809575*n+335736467990544280)/(n+60)/(n+59)/(2*n+119)*a(n+54)-1/28224*(16588559348203123*n^3+2571882420342650169*n^2+132914529882887129684*n+2289669391262207398206)/(n+60)/(n+59)/(2*n+119)*a(n+51)+1/28224*(1405300183274720*n^3+222017584739003973*n^2+11691855542007241321*n+205237806865672902726)/(n+60)/(n+59)/(2*n+119)*a(n+52)-1/28224*(1533017504169565003*n^3+228628069540817306373*n^2+11365617117961203680354*n+188337836420308548980370)/(n+60)/(n+59)/(2*n+119)*a(n+49)+1/9408*(56691438031946553*n^3+8622176674496399578*n^2+437115646608193335347*n+7386791344108842538748)/(n+60)/(n+59)/(2*n+119)*a(n+50)-1/4704*(14645602391413584502*n^3+2097508628723312950276*n^2+100134397291409148233161*n+1593477228938458769057349)/(n+60)/(n+59)/(2*n+119)*a(n+47)+1/9408*(4089482773184893625*n^3+597795239938591587642*n^2+29128530034213496153361*n+473115055600187605363430)/(n+60)/(n+59)/(2*n+119)*a(n+48)+1/2352*(518807*n^2+60484214*n+1762842240)/(n+60)/(2*n+119)*a(n+58)+746496000/49*(n+2)*(337450622*n^2+1396386503*n+1333004265)/(n+60)/(n+59)/(2*n+119)*a(n+1), n >= 59
Recurrence in latex format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 111
a(6) = 546
a(7) = 2762
a(8) = 14200
a(9) = 73887
a(10) = 388409
a(11) = 2060542
a(12) = 11021931
a(13) = 59396792
a(14) = 322232488
a(15) = 1758648248
a(16) = 9649982956
a(17) = 53208146080
a(18) = 294665208539
a(19) = 1638323429341
a(20) = 9141843254029
a(21) = 51179241261866
a(22) = 287381629847972
a(23) = 1618164162470222
a(24) = 9134611240679163
a(25) = 51686538753126316
a(26) = 293095897148274730
a(27) = 1665404690926479898
a(28) = 9480849175417407226
a(29) = 54067674790414204596
a(30) = 308845969910109281325
a(31) = 1766913673513726062513
a(32) = 10123186899738121045544
a(33) = 58077866600993125046950
a(34) = 333627344304467436317079
a(35) = 1918841615589515955694506
a(36) = 11048786029959494104163769
a(37) = 63688589503218276925160635
a(38) = 367498900366679725671633598
a(39) = 2122635076336808757678340034
a(40) = 12271529278119029717084003381
a(41) = 71007915806467013997945493536
a(42) = 411226968858539672814864481340
a(43) = 2383451965524746439761372834922
a(44) = 13825013940619452748683412885877
a(45) = 80249899864682740759624152263221
a(46) = 466154081721326119984274741474893
a(47) = 2709615919968577233838734154048576
a(48) = 15760398673731736391909417535138071
a(49) = 91726870222208391203727776250857352
a(50) = 534177047827978978978079720269933365
a(51) = 3112598613150193471003566781086983736
a(52) = 18146831578185277967275838498054495689
a(53) = 105854509156890355776870352936691394034
a(54) = 617789244576710023800225662848354847896
a(55) = 3607329096885131680321859004968183802017
a(56) = 21073567588787241250900696306575838392226
a(57) = 123165782819481924262485632555923460747382
a(58) = 720169925934205667373163504580397542467826
a{\left(n + 59 \right)} = - \frac{4284230123520000 \left(n + 1\right) \left(n + 2\right) \left(2 n + 1\right) a{\left(n \right)}}{49 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{746496000 \left(n + 2\right) \left(337450622 n^{2} + 1396386503 n + 1333004265\right) a{\left(n + 1 \right)}}{49 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(518807 n^{2} + 60484214 n + 1762842240\right) a{\left(n + 58 \right)}}{2352 \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(112012993 n^{3} + 19340291585 n^{2} + 1113087160238 n + 21353393413360\right) a{\left(n + 57 \right)}}{9408 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(3944253252 n^{3} + 669474792523 n^{2} + 37877087413683 n + 714318466188470\right) a{\left(n + 56 \right)}}{9408 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{5 \left(61143497057 n^{3} + 10198917104082 n^{2} + 567063976669015 n + 10509554796923034\right) a{\left(n + 55 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(2060117801996 n^{3} + 337586759486297 n^{2} + 18439715070809575 n + 335736467990544280\right) a{\left(n + 54 \right)}}{9408 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{41472 \left(84119733747562 n^{3} + 731502854545683 n^{2} + 2110415921139971 n + 2018231631461940\right) a{\left(n + 2 \right)}}{49 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(101809170160157 n^{3} + 16384009425611973 n^{2} + 878881100361252268 n + 15715086199187502762\right) a{\left(n + 53 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(1405300183274720 n^{3} + 222017584739003973 n^{2} + 11691855542007241321 n + 205237806865672902726\right) a{\left(n + 52 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(16588559348203123 n^{3} + 2571882420342650169 n^{2} + 132914529882887129684 n + 2289669391262207398206\right) a{\left(n + 51 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(56691438031946553 n^{3} + 8622176674496399578 n^{2} + 437115646608193335347 n + 7386791344108842538748\right) a{\left(n + 50 \right)}}{9408 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{288 \left(103032789525144818 n^{3} + 1141766970006991377 n^{2} + 4216458416360326933 n + 5188653128344307844\right) a{\left(n + 3 \right)}}{49 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(1533017504169565003 n^{3} + 228628069540817306373 n^{2} + 11365617117961203680354 n + 188337836420308548980370\right) a{\left(n + 49 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(4089482773184893625 n^{3} + 597795239938591587642 n^{2} + 29128530034213496153361 n + 473115055600187605363430\right) a{\left(n + 48 \right)}}{9408 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{24 \left(6919493882884897520 n^{3} + 90155597543139753951 n^{2} + 388939182284944629955 n + 555228987721174744074\right) a{\left(n + 4 \right)}}{49 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(14645602391413584502 n^{3} + 2097508628723312950276 n^{2} + 100134397291409148233161 n + 1593477228938458769057349\right) a{\left(n + 47 \right)}}{4704 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{3 \left(374939713290084622130 n^{3} + 4990046349937987895793 n^{2} + 20376322562809136821479 n + 23526162677353561428686\right) a{\left(n + 5 \right)}}{98 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(567105510242017996132 n^{3} + 79538123336197593006369 n^{2} + 3718525355146374474511439 n + 57949554603432281130160548\right) a{\left(n + 46 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(3139058437854009321775 n^{3} - 126204528883817655507453 n^{2} - 2106234521538434230456015 n - 7492585646314077202103475\right) a{\left(n + 6 \right)}}{588 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(3316354698865518651485 n^{3} + 455282695399968128684061 n^{2} + 20834645000862724134587032 n + 317816072856113744896268142\right) a{\left(n + 45 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(17657987067926901023306 n^{3} + 2371671764465311911565305 n^{2} + 106182645295723788489794971 n + 1584667134265362953809512786\right) a{\left(n + 44 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(85960502750141815303873 n^{3} + 11289648464083841928789789 n^{2} + 494251657077282183857497202 n + 7212769615450873120373309022\right) a{\left(n + 43 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(127985361825051366058514 n^{3} + 16427619400208840592168347 n^{2} + 702871200181736376736796045 n + 10024520376615733499477739284\right) a{\left(n + 42 \right)}}{9408 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(1578435956252052916266016 n^{3} + 197892081249520199129877813 n^{2} + 8270219273839989706824233987 n + 115210677346139780681771221128\right) a{\left(n + 41 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(1996049652036931476695096 n^{3} + 244288607613409443755762079 n^{2} + 9966035008528735204188824573 n + 135527943789292075182284082610\right) a{\left(n + 40 \right)}}{9408 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(3123014247163584002403670 n^{3} + 97262717922916632284550561 n^{2} + 940976056067809777763817761 n + 2903258741546345354187769464\right) a{\left(n + 7 \right)}}{14112 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(21012494710200484937788907 n^{3} + 2508833284876224509962847181 n^{2} + 99851182280521711914862966036 n + 1324712877914076957115297424964\right) a{\left(n + 39 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(34167274190570578425290405 n^{3} + 3977285781823539133337201763 n^{2} + 154329899228949796410740420707 n + 1996181676060056917781111074089\right) a{\left(n + 38 \right)}}{14112 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(49909145417762677744405829 n^{3} + 1525758875216944086231184398 n^{2} + 15199844755418980550853780169 n + 49607593999185477802958646216\right) a{\left(n + 8 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(51576494068059824234098460 n^{3} + 5849490425311806005749583655 n^{2} + 221141511222866246489413568206 n + 2786816899805731812423732479763\right) a{\left(n + 37 \right)}}{7056 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(83663360580635324984619723 n^{3} + 2710291780124965926995646485 n^{2} + 28940709143791311330255486506 n + 102056382777191813094236965904\right) a{\left(n + 9 \right)}}{9408 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(504209472938448445113993523 n^{3} + 54165866956945434704122564036 n^{2} + 1939650362639766425943973662237 n + 23152834382623437994437818369270\right) a{\left(n + 35 \right)}}{9408 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(579037604223591564187417403 n^{3} + 63937705784727168661153737144 n^{2} + 2353380343373918601028363574215 n + 28874328184601076548999710001004\right) a{\left(n + 36 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(978816538869389348316373279 n^{3} + 34041382032562287012530744442 n^{2} + 392028066617977430122154406701 n + 1496258387459543504590797125370\right) a{\left(n + 10 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(1227081613274887045706050743 n^{3} + 128149823497155495782234720756 n^{2} + 4461113928211921173367855640959 n + 51766555496931969240662852369662\right) a{\left(n + 34 \right)}}{9408 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(2784097437516612931019723951 n^{3} + 282428331938414658130731592732 n^{2} + 9550142662193353961798658185363 n + 107643833093974860912586746729848\right) a{\left(n + 33 \right)}}{9408 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(3168671470266593224383406753 n^{3} + 118445287810134420691814292543 n^{2} + 1469491925724921475182847201052 n + 6053693447363413664157839269440\right) a{\left(n + 11 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(4401756625507241958224292115 n^{3} + 176473358941681777565995276440 n^{2} + 2351354049304676952591400503599 n + 10414847334464082648608192737446\right) a{\left(n + 12 \right)}}{14112 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(7703629676735889425528818203 n^{3} + 351911835389152072195574836220 n^{2} + 5350031408537932999682036008081 n + 27070999537989711261607878210544\right) a{\left(n + 14 \right)}}{4704 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(8838053010561432694057057532 n^{3} + 870145127225474664704617792374 n^{2} + 28556228517202189772803907191996 n + 312380577298226792802139102738737\right) a{\left(n + 32 \right)}}{14112 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(10719224175582652041934677180 n^{3} + 991377322560975361039606379754 n^{2} + 30561785854834516318012798671060 n + 314038309348388777299261901843579\right) a{\left(n + 30 \right)}}{4704 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(14900061694063867561471703639 n^{3} + 723012418813886081015545034223 n^{2} + 11680248663454533193727223749768 n + 62825218110775288156952744950020\right) a{\left(n + 15 \right)}}{4704 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(21414109129973837830426549813 n^{3} + 917942831710667318154329973597 n^{2} + 13088112919500873205087084107692 n + 62079811370129451780669175270692\right) a{\left(n + 13 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(34903776547270252213825012541 n^{3} + 3332205253325508010308513867312 n^{2} + 106037777912033151075726394512319 n + 1124757832997994118262633935935510\right) a{\left(n + 31 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(55290828609157128488047607075 n^{3} + 4948960534833038292918956142309 n^{2} + 147649695632888255939731782890185 n + 1468280032530443431032944160365793\right) a{\left(n + 29 \right)}}{14112 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(108210464587814510607450009089 n^{3} + 7764777317209849652750623247141 n^{2} + 185684241544295496444591152566383 n + 1479819878023400487977319940204265\right) a{\left(n + 23 \right)}}{4704 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(108403202572562367233900599971 n^{3} + 7142940788266416319478101897666 n^{2} + 156838192076115057395615842535374 n + 1147544098983125599410092788673189\right) a{\left(n + 21 \right)}}{4704 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(156107512969087606607842501319 n^{3} + 8021941979232376080010705250868 n^{2} + 137278232496467970267654702331105 n + 782362894385809021922409810757920\right) a{\left(n + 16 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(177364785759158751696505213424 n^{3} + 15348180127021226723902928210709 n^{2} + 442686670324890161039892711025177 n + 4255849472047613260594226305566420\right) a{\left(n + 28 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(247555477275220231280719608223 n^{3} + 13433889144164572584896852198106 n^{2} + 242819824168307659621142017282715 n + 1461947884550496369261969060621540\right) a{\left(n + 17 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(265262959132210663381876844476 n^{3} + 22167131777907281690080023692703 n^{2} + 617424034158970915713255162522617 n + 5731905253376126961167170055482212\right) a{\left(n + 27 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(289445255940341145171855000212 n^{3} + 18226945759106369889543863267601 n^{2} + 382445635906873251784269427153018 n + 2673856007667748450671874941762696\right) a{\left(n + 20 \right)}}{14112 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(358242089524366140424768643800 n^{3} + 20476328759039856088477218100677 n^{2} + 389893602649454717768779881562211 n + 2473244738932011188797368101160486\right) a{\left(n + 18 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(369690429017856067383394973912 n^{3} + 29798712606590928642000230878059 n^{2} + 800548120276074583515912669444055 n + 7168173447758281499865482570982918\right) a{\left(n + 26 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(474971115469716842194716439717 n^{3} + 28526850708465703604829681758199 n^{2} + 570833326942214022199850762230730 n + 3805744002617401801823424334445970\right) a{\left(n + 19 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} - \frac{\left(479728399912553310864070036978 n^{3} + 37250198853572416345171276968933 n^{2} + 964006725432534611548074106445837 n + 8314775774619374168171058521935302\right) a{\left(n + 25 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(579032516240980055050910673838 n^{3} + 43253150224063110147062860790505 n^{2} + 1076802948231772965863232694845521 n + 8934277878053956277582384731943412\right) a{\left(n + 24 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)} + \frac{\left(675311268758873244666843322135 n^{3} + 46475312594275848953163762306129 n^{2} + 1065874309696840270185821334144608 n + 8146238150665278541989125895614148\right) a{\left(n + 22 \right)}}{28224 \left(n + 59\right) \left(n + 60\right) \left(2 n + 119\right)}, \quad n \geq 59
Specification 1
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://www.permpal.com/tree/24999/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[4,x]*F[8,x]
F[8,x] = F[111,x]+F[9,x]
F[9,x] = F[10,x]+F[5,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[4,x]
F[12,x] = F[105,x]+F[13,x]
F[13,x] = F[0,x]*F[14,x]
F[14,x] = F[15,x]+F[9,x]
F[15,x] = F[16,x]
F[16,x] = F[17,x]
F[17,x] = F[18,x]*F[4,x]
F[18,x] = 1/F[4,x]*F[19,x]
F[19,x] = F[20,x]
F[20,x] = F[21,x]+F[25,x]
F[21,x] = F[2,x]*F[22,x]
F[22,x] = F[1,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[22,x]*F[4,x]
F[25,x] = F[26,x]
F[26,x] = F[27,x]*F[4,x]
F[27,x] = F[100,x]+F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[30,x]*F[4,x]
F[30,x] = 1/F[0,x]/F[4,x]*F[31,x]
F[31,x] = F[32,x]
F[32,x] = -F[95,x]+F[33,x]
F[33,x] = 1/F[4,x]*F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[36,x]+F[91,x]
F[36,x] = -F[47,x]+F[37,x]
F[37,x] = F[38,x]+F[88,x]
F[38,x] = -F[81,x]+F[39,x]
F[39,x] = F[40,x]+F[41,x]
F[40,x] = F[0,x]^2
F[41,x] = -F[66,x]+F[42,x]
F[42,x] = -F[49,x]+F[43,x]
F[43,x] = 1/F[4,x]*F[44,x]
F[44,x] = F[45,x]
F[45,x] = -F[2,x]+F[46,x]
F[46,x] = -F[0,x]+F[47,x]
F[47,x] = 1/F[4,x]*F[48,x]
F[48,x] = F[2,x]
F[49,x] = F[50,x]
F[50,x] = F[4,x]*F[51,x]
F[51,x] = F[52,x]+F[55,x]
F[52,x] = F[47,x]*F[53,x]
F[53,x] = 1/F[4,x]*F[54,x]
F[54,x] = F[2,x]
F[55,x] = F[56,x]
F[56,x] = F[22,x]*F[4,x]*F[57,x]
F[57,x] = 1/F[4,x]*F[58,x]
F[58,x] = F[59,x]
F[59,x] = -F[62,x]+F[60,x]
F[60,x] = 1/F[4,x]*F[61,x]
F[61,x] = F[45,x]
F[62,x] = F[63,x]+F[64,x]
F[63,x] = F[2,x]+F[45,x]
F[64,x] = F[65,x]
F[65,x] = F[2,x]*F[4,x]*F[8,x]
F[66,x] = F[67,x]
F[67,x] = F[0,x]*F[4,x]*F[68,x]*F[76,x]
F[68,x] = -F[73,x]+F[69,x]
F[69,x] = 1/F[22,x]^2/F[4,x]*F[70,x]
F[70,x] = F[71,x]
F[71,x] = F[22,x]^2*F[4,x]*F[72,x]
F[72,x] = F[16,x]+F[5,x]
F[73,x] = F[22,x]+F[74,x]
F[74,x] = F[75,x]
F[75,x] = F[22,x]*F[4,x]*F[69,x]
F[76,x] = F[77,x]+F[80,x]
F[77,x] = F[0,x]+F[78,x]
F[78,x] = F[79,x]
F[79,x] = F[0,x]*F[4,x]*F[76,x]
F[80,x] = F[78,x]
F[81,x] = F[82,x]+F[83,x]
F[82,x] = F[0,x]*F[2,x]
F[83,x] = F[84,x]
F[84,x] = F[4,x]*F[85,x]
F[85,x] = F[86,x]+F[87,x]
F[86,x] = F[59,x]
F[87,x] = F[41,x]
F[88,x] = F[46,x]+F[89,x]
F[89,x] = F[90,x]
F[90,x] = F[35,x]*F[4,x]
F[91,x] = F[92,x]
F[92,x] = F[4,x]*F[78,x]*F[93,x]
F[93,x] = F[42,x]+F[94,x]
F[94,x] = F[49,x]+F[53,x]
F[95,x] = -F[98,x]+F[96,x]
F[96,x] = 1/F[4,x]*F[97,x]
F[97,x] = F[35,x]
F[98,x] = F[99,x]
F[99,x] = F[4,x]*F[76,x]*F[95,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[2,x]*F[22,x]
F[102,x] = F[103,x]+F[47,x]
F[103,x] = F[104,x]
F[104,x] = F[0,x]*F[102,x]*F[4,x]
F[105,x] = F[106,x]
F[106,x] = F[107,x]*F[4,x]
F[107,x] = 1/F[4,x]*F[108,x]
F[108,x] = F[109,x]
F[109,x] = -F[110,x]+F[8,x]
F[110,x] = F[5,x]+F[62,x]
F[111,x] = F[112,x]
F[112,x] = F[113,x]*F[4,x]
F[113,x] = F[114,x]+F[115,x]
F[114,x] = F[47,x]*F[9,x]
F[115,x] = F[116,x]
F[116,x] = F[117,x]*F[4,x]*F[57,x]
F[117,x] = F[118,x]+F[129,x]
F[118,x] = F[1,x]+F[119,x]
F[119,x] = F[120,x]
F[120,x] = F[121,x]*F[4,x]
F[121,x] = F[122,x]+F[123,x]
F[122,x] = F[1,x]+F[4,x]
F[123,x] = F[124,x]+F[23,x]
F[124,x] = F[125,x]+F[126,x]+F[128,x]
F[125,x] = 0
F[126,x] = F[127,x]*F[4,x]
F[127,x] = F[124,x]+F[4,x]
F[128,x] = F[23,x]*F[4,x]
F[129,x] = F[130,x]+F[23,x]
F[130,x] = F[125,x]+F[131,x]+F[133,x]
F[131,x] = F[132,x]*F[4,x]
F[132,x] = F[119,x]+F[130,x]
F[133,x] = F[134,x]*F[4,x]
F[134,x] = F[123,x]+F[135,x]
F[135,x] = F[136,x]+F[141,x]
F[136,x] = F[125,x]+F[137,x]+F[139,x]
F[137,x] = F[138,x]*F[4,x]
F[138,x] = F[136,x]+F[23,x]
F[139,x] = F[140,x]*F[4,x]
F[140,x] = F[136,x]+F[23,x]
F[141,x] = F[125,x]+F[142,x]+F[144,x]+F[146,x]
F[142,x] = F[143,x]*F[4,x]
F[143,x] = F[124,x]+F[141,x]
F[144,x] = F[145,x]*F[4,x]
F[145,x] = F[124,x]+F[141,x]
F[146,x] = F[136,x]*F[4,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{111}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{5}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{12}\! \left(x \right) = F_{105}\! \left(x \right)+F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{0}\! \left(x \right) F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{9}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{4}\! \left(x \right)
F_{18}\! \left(x \right) = \frac{F_{19}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{25}\! \left(x \right)
F_{21}\! \left(x \right) = F_{2}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{1}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right) F_{4}\! \left(x \right)
F_{27}\! \left(x \right) = F_{100}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right) F_{4}\! \left(x \right)
F_{30}\! \left(x \right) = \frac{F_{31}\! \left(x \right)}{F_{0}\! \left(x \right) F_{4}\! \left(x \right)}
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = -F_{95}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = \frac{F_{34}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{91}\! \left(x \right)
F_{36}\! \left(x \right) = -F_{47}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{88}\! \left(x \right)
F_{38}\! \left(x \right) = -F_{81}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{41}\! \left(x \right)
F_{40}\! \left(x \right) = F_{0} \left(x \right)^{2}
F_{41}\! \left(x \right) = -F_{66}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = -F_{49}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = \frac{F_{44}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{2}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{4}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{55}\! \left(x \right)
F_{52}\! \left(x \right) = F_{47}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = \frac{F_{54}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{54}\! \left(x \right) = F_{2}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = \frac{F_{58}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = -F_{62}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = \frac{F_{61}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{61}\! \left(x \right) = F_{45}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{64}\! \left(x \right)
F_{63}\! \left(x \right) = F_{2}\! \left(x \right)+F_{45}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{68}\! \left(x \right) F_{76}\! \left(x \right)
F_{68}\! \left(x \right) = -F_{73}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = \frac{F_{70}\! \left(x \right)}{F_{22} \left(x \right)^{2} F_{4}\! \left(x \right)}
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{22} \left(x \right)^{2} F_{4}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{16}\! \left(x \right)+F_{5}\! \left(x \right)
F_{73}\! \left(x \right) = F_{22}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right) F_{69}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)+F_{80}\! \left(x \right)
F_{77}\! \left(x \right) = F_{0}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{76}\! \left(x \right)
F_{80}\! \left(x \right) = F_{78}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{83}\! \left(x \right)
F_{82}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{4}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)+F_{87}\! \left(x \right)
F_{86}\! \left(x \right) = F_{59}\! \left(x \right)
F_{87}\! \left(x \right) = F_{41}\! \left(x \right)
F_{88}\! \left(x \right) = F_{46}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{4}\! \left(x \right) F_{78}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{42}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{49}\! \left(x \right)+F_{53}\! \left(x \right)
F_{95}\! \left(x \right) = -F_{98}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = \frac{F_{97}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{97}\! \left(x \right) = F_{35}\! \left(x \right)
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{4}\! \left(x \right) F_{76}\! \left(x \right) F_{95}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{2}\! \left(x \right) F_{22}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{47}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{0}\! \left(x \right) F_{102}\! \left(x \right) F_{4}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{4}\! \left(x \right)
F_{107}\! \left(x \right) = \frac{F_{108}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = -F_{110}\! \left(x \right)+F_{8}\! \left(x \right)
F_{110}\! \left(x \right) = F_{5}\! \left(x \right)+F_{62}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{4}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{115}\! \left(x \right)
F_{114}\! \left(x \right) = F_{47}\! \left(x \right) F_{9}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right) F_{4}\! \left(x \right) F_{57}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{129}\! \left(x \right)
F_{118}\! \left(x \right) = F_{1}\! \left(x \right)+F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{4}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{123}\! \left(x \right)
F_{122}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{23}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{126}\! \left(x \right)+F_{128}\! \left(x \right)
F_{125}\! \left(x \right) = 0
F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{4}\! \left(x \right)
F_{127}\! \left(x \right) = F_{124}\! \left(x \right)+F_{4}\! \left(x \right)
F_{128}\! \left(x \right) = F_{23}\! \left(x \right) F_{4}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{23}\! \left(x \right)
F_{130}\! \left(x \right) = F_{125}\! \left(x \right)+F_{131}\! \left(x \right)+F_{133}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right) F_{4}\! \left(x \right)
F_{132}\! \left(x \right) = F_{119}\! \left(x \right)+F_{130}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right) F_{4}\! \left(x \right)
F_{134}\! \left(x \right) = F_{123}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)+F_{141}\! \left(x \right)
F_{136}\! \left(x \right) = F_{125}\! \left(x \right)+F_{137}\! \left(x \right)+F_{139}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right) F_{4}\! \left(x \right)
F_{138}\! \left(x \right) = F_{136}\! \left(x \right)+F_{23}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right) F_{4}\! \left(x \right)
F_{140}\! \left(x \right) = F_{136}\! \left(x \right)+F_{23}\! \left(x \right)
F_{141}\! \left(x \right) = F_{125}\! \left(x \right)+F_{142}\! \left(x \right)+F_{144}\! \left(x \right)+F_{146}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right) F_{4}\! \left(x \right)
F_{143}\! \left(x \right) = F_{124}\! \left(x \right)+F_{141}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{4}\! \left(x \right)
F_{145}\! \left(x \right) = F_{124}\! \left(x \right)+F_{141}\! \left(x \right)
F_{146}\! \left(x \right) = F_{136}\! \left(x \right) F_{4}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_4(x)*F_8(x))
Eq(F_8(x), F_111(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_5(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_4(x))
Eq(F_12(x), F_105(x) + F_13(x))
Eq(F_13(x), F_0(x)*F_14(x))
Eq(F_14(x), F_15(x) + F_9(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x)*F_4(x))
Eq(F_18(x), F_19(x)/F_4(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_21(x) + F_25(x))
Eq(F_21(x), F_2(x)*F_22(x))
Eq(F_22(x), F_1(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_22(x)*F_4(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_27(x)*F_4(x))
Eq(F_27(x), F_100(x) + F_28(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_30(x)*F_4(x))
Eq(F_30(x), F_31(x)/(F_0(x)*F_4(x)))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_33(x) - F_95(x))
Eq(F_33(x), F_34(x)/F_4(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_36(x) + F_91(x))
Eq(F_36(x), F_37(x) - F_47(x))
Eq(F_37(x), F_38(x) + F_88(x))
Eq(F_38(x), F_39(x) - F_81(x))
Eq(F_39(x), F_40(x) + F_41(x))
Eq(F_40(x), F_0(x)**2)
Eq(F_41(x), F_42(x) - F_66(x))
Eq(F_42(x), F_43(x) - F_49(x))
Eq(F_43(x), F_44(x)/F_4(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), -F_2(x) + F_46(x))
Eq(F_46(x), -F_0(x) + F_47(x))
Eq(F_47(x), F_48(x)/F_4(x))
Eq(F_48(x), F_2(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_4(x)*F_51(x))
Eq(F_51(x), F_52(x) + F_55(x))
Eq(F_52(x), F_47(x)*F_53(x))
Eq(F_53(x), F_54(x)/F_4(x))
Eq(F_54(x), F_2(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_22(x)*F_4(x)*F_57(x))
Eq(F_57(x), F_58(x)/F_4(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_60(x) - F_62(x))
Eq(F_60(x), F_61(x)/F_4(x))
Eq(F_61(x), F_45(x))
Eq(F_62(x), F_63(x) + F_64(x))
Eq(F_63(x), F_2(x) + F_45(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_2(x)*F_4(x)*F_8(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_0(x)*F_4(x)*F_68(x)*F_76(x))
Eq(F_68(x), F_69(x) - F_73(x))
Eq(F_69(x), F_70(x)/(F_22(x)**2*F_4(x)))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_22(x)**2*F_4(x)*F_72(x))
Eq(F_72(x), F_16(x) + F_5(x))
Eq(F_73(x), F_22(x) + F_74(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_22(x)*F_4(x)*F_69(x))
Eq(F_76(x), F_77(x) + F_80(x))
Eq(F_77(x), F_0(x) + F_78(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_0(x)*F_4(x)*F_76(x))
Eq(F_80(x), F_78(x))
Eq(F_81(x), F_82(x) + F_83(x))
Eq(F_82(x), F_0(x)*F_2(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_4(x)*F_85(x))
Eq(F_85(x), F_86(x) + F_87(x))
Eq(F_86(x), F_59(x))
Eq(F_87(x), F_41(x))
Eq(F_88(x), F_46(x) + F_89(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_35(x)*F_4(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_4(x)*F_78(x)*F_93(x))
Eq(F_93(x), F_42(x) + F_94(x))
Eq(F_94(x), F_49(x) + F_53(x))
Eq(F_95(x), F_96(x) - F_98(x))
Eq(F_96(x), F_97(x)/F_4(x))
Eq(F_97(x), F_35(x))
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_4(x)*F_76(x)*F_95(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_2(x)*F_22(x))
Eq(F_102(x), F_103(x) + F_47(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_0(x)*F_102(x)*F_4(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_107(x)*F_4(x))
Eq(F_107(x), F_108(x)/F_4(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), -F_110(x) + F_8(x))
Eq(F_110(x), F_5(x) + F_62(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_113(x)*F_4(x))
Eq(F_113(x), F_114(x) + F_115(x))
Eq(F_114(x), F_47(x)*F_9(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_117(x)*F_4(x)*F_57(x))
Eq(F_117(x), F_118(x) + F_129(x))
Eq(F_118(x), F_1(x) + F_119(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_121(x)*F_4(x))
Eq(F_121(x), F_122(x) + F_123(x))
Eq(F_122(x), F_1(x) + F_4(x))
Eq(F_123(x), F_124(x) + F_23(x))
Eq(F_124(x), F_125(x) + F_126(x) + F_128(x))
Eq(F_125(x), 0)
Eq(F_126(x), F_127(x)*F_4(x))
Eq(F_127(x), F_124(x) + F_4(x))
Eq(F_128(x), F_23(x)*F_4(x))
Eq(F_129(x), F_130(x) + F_23(x))
Eq(F_130(x), F_125(x) + F_131(x) + F_133(x))
Eq(F_131(x), F_132(x)*F_4(x))
Eq(F_132(x), F_119(x) + F_130(x))
Eq(F_133(x), F_134(x)*F_4(x))
Eq(F_134(x), F_123(x) + F_135(x))
Eq(F_135(x), F_136(x) + F_141(x))
Eq(F_136(x), F_125(x) + F_137(x) + F_139(x))
Eq(F_137(x), F_138(x)*F_4(x))
Eq(F_138(x), F_136(x) + F_23(x))
Eq(F_139(x), F_140(x)*F_4(x))
Eq(F_140(x), F_136(x) + F_23(x))
Eq(F_141(x), F_125(x) + F_142(x) + F_144(x) + F_146(x))
Eq(F_142(x), F_143(x)*F_4(x))
Eq(F_143(x), F_124(x) + F_141(x))
Eq(F_144(x), F_145(x)*F_4(x))
Eq(F_145(x), F_124(x) + F_141(x))
Eq(F_146(x), F_136(x)*F_4(x))
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}, {"class_module": "tilings.strategies.monotone_sliding", "strategy_class": "MonotoneSlidingFactory"}, {"class_module": "tilings.strategies.point_jumping", "strategy_class": "AssumptionAndPointJumpingFactory"}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}], [{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "FusableRowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": null}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 2], [0, 2], [0, 0], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [0, 2]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], 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1], [2, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[2, 1], [2, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[2, 1], [2, 1], [3, 1], [3, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 2], [1, 2], [2, 1], [3, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[2, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[2, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}], "requirements": [[{"patt": [0], "pos": [[4, 4]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25066/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[4,x]*F[8,x]
F[8,x] = F[113,x]+F[9,x]
F[9,x] = F[10,x]+F[5,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[4,x]
F[12,x] = F[107,x]+F[13,x]
F[13,x] = F[0,x]*F[14,x]
F[14,x] = F[15,x]+F[9,x]
F[15,x] = F[16,x]
F[16,x] = F[17,x]
F[17,x] = F[18,x]*F[4,x]
F[18,x] = 1/F[4,x]*F[19,x]
F[19,x] = F[20,x]
F[20,x] = F[21,x]+F[25,x]
F[21,x] = F[2,x]*F[22,x]
F[22,x] = F[1,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[22,x]*F[4,x]
F[25,x] = F[26,x]
F[26,x] = F[27,x]*F[4,x]
F[27,x] = F[102,x]+F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[30,x]*F[4,x]
F[30,x] = 1/F[0,x]/F[4,x]*F[31,x]
F[31,x] = F[32,x]
F[32,x] = -F[99,x]+F[33,x]
F[33,x] = 1/F[4,x]*F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[36,x]+F[95,x]
F[36,x] = -F[47,x]+F[37,x]
F[37,x] = F[38,x]+F[87,x]
F[38,x] = -F[80,x]+F[39,x]
F[39,x] = F[40,x]+F[41,x]
F[40,x] = F[0,x]^2
F[41,x] = -F[65,x]+F[42,x]
F[42,x] = -F[49,x]+F[43,x]
F[43,x] = 1/F[4,x]*F[44,x]
F[44,x] = F[45,x]
F[45,x] = -F[2,x]+F[46,x]
F[46,x] = -F[0,x]+F[47,x]
F[47,x] = 1/F[4,x]*F[48,x]
F[48,x] = F[2,x]
F[49,x] = F[50,x]
F[50,x] = F[4,x]*F[51,x]
F[51,x] = F[52,x]+F[55,x]
F[52,x] = F[47,x]*F[53,x]
F[53,x] = 1/F[4,x]*F[54,x]
F[54,x] = F[2,x]
F[55,x] = F[56,x]
F[56,x] = F[22,x]*F[4,x]*F[57,x]
F[57,x] = 1/F[4,x]*F[58,x]
F[58,x] = F[59,x]
F[59,x] = -F[62,x]+F[60,x]
F[60,x] = 1/F[4,x]*F[61,x]
F[61,x] = F[45,x]
F[62,x] = F[46,x]+F[63,x]
F[63,x] = F[64,x]
F[64,x] = F[2,x]*F[4,x]*F[8,x]
F[65,x] = F[66,x]
F[66,x] = F[0,x]*F[4,x]*F[67,x]*F[75,x]
F[67,x] = -F[72,x]+F[68,x]
F[68,x] = 1/F[22,x]^2/F[4,x]*F[69,x]
F[69,x] = F[70,x]
F[70,x] = F[22,x]^2*F[4,x]*F[71,x]
F[71,x] = F[16,x]+F[5,x]
F[72,x] = F[22,x]+F[73,x]
F[73,x] = F[74,x]
F[74,x] = F[22,x]*F[4,x]*F[68,x]
F[75,x] = F[76,x]+F[79,x]
F[76,x] = F[0,x]+F[77,x]
F[77,x] = F[78,x]
F[78,x] = F[0,x]*F[4,x]*F[75,x]
F[79,x] = F[77,x]
F[80,x] = F[81,x]+F[82,x]
F[81,x] = F[0,x]*F[2,x]
F[82,x] = F[83,x]
F[83,x] = F[4,x]*F[84,x]
F[84,x] = F[85,x]+F[86,x]
F[85,x] = F[59,x]
F[86,x] = F[41,x]
F[87,x] = F[88,x]+F[89,x]
F[88,x] = F[2,x]+F[45,x]
F[89,x] = F[90,x]
F[90,x] = F[4,x]*F[91,x]
F[91,x] = F[92,x]
F[92,x] = F[4,x]*F[93,x]
F[93,x] = 1/F[4,x]*F[94,x]
F[94,x] = F[35,x]
F[95,x] = F[96,x]
F[96,x] = F[4,x]*F[77,x]*F[97,x]
F[97,x] = F[42,x]+F[98,x]
F[98,x] = F[49,x]+F[53,x]
F[99,x] = -F[100,x]+F[93,x]
F[100,x] = F[101,x]
F[101,x] = F[4,x]*F[75,x]*F[99,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[2,x]*F[22,x]
F[104,x] = F[105,x]+F[47,x]
F[105,x] = F[106,x]
F[106,x] = F[0,x]*F[104,x]*F[4,x]
F[107,x] = F[108,x]
F[108,x] = F[109,x]*F[4,x]
F[109,x] = 1/F[4,x]*F[110,x]
F[110,x] = F[111,x]
F[111,x] = -F[112,x]+F[8,x]
F[112,x] = F[5,x]+F[62,x]
F[113,x] = F[114,x]
F[114,x] = F[115,x]*F[4,x]
F[115,x] = F[116,x]+F[117,x]
F[116,x] = F[47,x]*F[9,x]
F[117,x] = F[118,x]
F[118,x] = F[119,x]*F[4,x]*F[57,x]
F[119,x] = F[120,x]+F[131,x]
F[120,x] = F[1,x]+F[121,x]
F[121,x] = F[122,x]
F[122,x] = F[123,x]*F[4,x]
F[123,x] = F[124,x]+F[125,x]
F[124,x] = F[1,x]+F[4,x]
F[125,x] = F[126,x]+F[23,x]
F[126,x] = F[127,x]+F[128,x]+F[130,x]
F[127,x] = 0
F[128,x] = F[129,x]*F[4,x]
F[129,x] = F[126,x]+F[4,x]
F[130,x] = F[23,x]*F[4,x]
F[131,x] = F[132,x]+F[23,x]
F[132,x] = F[127,x]+F[133,x]+F[135,x]
F[133,x] = F[134,x]*F[4,x]
F[134,x] = F[121,x]+F[132,x]
F[135,x] = F[136,x]*F[4,x]
F[136,x] = F[125,x]+F[137,x]
F[137,x] = F[138,x]+F[143,x]
F[138,x] = F[127,x]+F[139,x]+F[141,x]
F[139,x] = F[140,x]*F[4,x]
F[140,x] = F[138,x]+F[23,x]
F[141,x] = F[142,x]*F[4,x]
F[142,x] = F[138,x]+F[23,x]
F[143,x] = F[127,x]+F[144,x]+F[146,x]+F[148,x]
F[144,x] = F[145,x]*F[4,x]
F[145,x] = F[126,x]+F[143,x]
F[146,x] = F[147,x]*F[4,x]
F[147,x] = F[126,x]+F[143,x]
F[148,x] = F[138,x]*F[4,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{113}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{5}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{12}\! \left(x \right) = F_{107}\! \left(x \right)+F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{0}\! \left(x \right) F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{9}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{4}\! \left(x \right)
F_{18}\! \left(x \right) = \frac{F_{19}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{25}\! \left(x \right)
F_{21}\! \left(x \right) = F_{2}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{1}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right) F_{4}\! \left(x \right)
F_{27}\! \left(x \right) = F_{102}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right) F_{4}\! \left(x \right)
F_{30}\! \left(x \right) = \frac{F_{31}\! \left(x \right)}{F_{0}\! \left(x \right) F_{4}\! \left(x \right)}
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = -F_{99}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = \frac{F_{34}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{95}\! \left(x \right)
F_{36}\! \left(x \right) = -F_{47}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{87}\! \left(x \right)
F_{38}\! \left(x \right) = -F_{80}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{41}\! \left(x \right)
F_{40}\! \left(x \right) = F_{0} \left(x \right)^{2}
F_{41}\! \left(x \right) = -F_{65}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = -F_{49}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = \frac{F_{44}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{2}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{4}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{55}\! \left(x \right)
F_{52}\! \left(x \right) = F_{47}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = \frac{F_{54}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{54}\! \left(x \right) = F_{2}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = \frac{F_{58}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = -F_{62}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = \frac{F_{61}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{61}\! \left(x \right) = F_{45}\! \left(x \right)
F_{62}\! \left(x \right) = F_{46}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{67}\! \left(x \right) F_{75}\! \left(x \right)
F_{67}\! \left(x \right) = -F_{72}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = \frac{F_{69}\! \left(x \right)}{F_{22} \left(x \right)^{2} F_{4}\! \left(x \right)}
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{22} \left(x \right)^{2} F_{4}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{16}\! \left(x \right)+F_{5}\! \left(x \right)
F_{72}\! \left(x \right) = F_{22}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right) F_{68}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{79}\! \left(x \right)
F_{76}\! \left(x \right) = F_{0}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{75}\! \left(x \right)
F_{79}\! \left(x \right) = F_{77}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)+F_{82}\! \left(x \right)
F_{81}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{4}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{86}\! \left(x \right)
F_{85}\! \left(x \right) = F_{59}\! \left(x \right)
F_{86}\! \left(x \right) = F_{41}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)+F_{89}\! \left(x \right)
F_{88}\! \left(x \right) = F_{2}\! \left(x \right)+F_{45}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{4}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{4}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = \frac{F_{94}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{94}\! \left(x \right) = F_{35}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{4}\! \left(x \right) F_{77}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{42}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{49}\! \left(x \right)+F_{53}\! \left(x \right)
F_{99}\! \left(x \right) = -F_{100}\! \left(x \right)+F_{93}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{4}\! \left(x \right) F_{75}\! \left(x \right) F_{99}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{2}\! \left(x \right) F_{22}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{47}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{0}\! \left(x \right) F_{104}\! \left(x \right) F_{4}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right) F_{4}\! \left(x \right)
F_{109}\! \left(x \right) = \frac{F_{110}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = -F_{112}\! \left(x \right)+F_{8}\! \left(x \right)
F_{112}\! \left(x \right) = F_{5}\! \left(x \right)+F_{62}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right) F_{4}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{117}\! \left(x \right)
F_{116}\! \left(x \right) = F_{47}\! \left(x \right) F_{9}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{4}\! \left(x \right) F_{57}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{131}\! \left(x \right)
F_{120}\! \left(x \right) = F_{1}\! \left(x \right)+F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right) F_{4}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{125}\! \left(x \right)
F_{124}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{23}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{128}\! \left(x \right)+F_{130}\! \left(x \right)
F_{127}\! \left(x \right) = 0
F_{128}\! \left(x \right) = F_{129}\! \left(x \right) F_{4}\! \left(x \right)
F_{129}\! \left(x \right) = F_{126}\! \left(x \right)+F_{4}\! \left(x \right)
F_{130}\! \left(x \right) = F_{23}\! \left(x \right) F_{4}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{23}\! \left(x \right)
F_{132}\! \left(x \right) = F_{127}\! \left(x \right)+F_{133}\! \left(x \right)+F_{135}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right) F_{4}\! \left(x \right)
F_{134}\! \left(x \right) = F_{121}\! \left(x \right)+F_{132}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right) F_{4}\! \left(x \right)
F_{136}\! \left(x \right) = F_{125}\! \left(x \right)+F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{143}\! \left(x \right)
F_{138}\! \left(x \right) = F_{127}\! \left(x \right)+F_{139}\! \left(x \right)+F_{141}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right) F_{4}\! \left(x \right)
F_{140}\! \left(x \right) = F_{138}\! \left(x \right)+F_{23}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{4}\! \left(x \right)
F_{142}\! \left(x \right) = F_{138}\! \left(x \right)+F_{23}\! \left(x \right)
F_{143}\! \left(x \right) = F_{127}\! \left(x \right)+F_{144}\! \left(x \right)+F_{146}\! \left(x \right)+F_{148}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{4}\! \left(x \right)
F_{145}\! \left(x \right) = F_{126}\! \left(x \right)+F_{143}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{4}\! \left(x \right)
F_{147}\! \left(x \right) = F_{126}\! \left(x \right)+F_{143}\! \left(x \right)
F_{148}\! \left(x \right) = F_{138}\! \left(x \right) F_{4}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_4(x)*F_8(x))
Eq(F_8(x), F_113(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_5(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_4(x))
Eq(F_12(x), F_107(x) + F_13(x))
Eq(F_13(x), F_0(x)*F_14(x))
Eq(F_14(x), F_15(x) + F_9(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x)*F_4(x))
Eq(F_18(x), F_19(x)/F_4(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_21(x) + F_25(x))
Eq(F_21(x), F_2(x)*F_22(x))
Eq(F_22(x), F_1(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_22(x)*F_4(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_27(x)*F_4(x))
Eq(F_27(x), F_102(x) + F_28(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_30(x)*F_4(x))
Eq(F_30(x), F_31(x)/(F_0(x)*F_4(x)))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_33(x) - F_99(x))
Eq(F_33(x), F_34(x)/F_4(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_36(x) + F_95(x))
Eq(F_36(x), F_37(x) - F_47(x))
Eq(F_37(x), F_38(x) + F_87(x))
Eq(F_38(x), F_39(x) - F_80(x))
Eq(F_39(x), F_40(x) + F_41(x))
Eq(F_40(x), F_0(x)**2)
Eq(F_41(x), F_42(x) - F_65(x))
Eq(F_42(x), F_43(x) - F_49(x))
Eq(F_43(x), F_44(x)/F_4(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), -F_2(x) + F_46(x))
Eq(F_46(x), -F_0(x) + F_47(x))
Eq(F_47(x), F_48(x)/F_4(x))
Eq(F_48(x), F_2(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_4(x)*F_51(x))
Eq(F_51(x), F_52(x) + F_55(x))
Eq(F_52(x), F_47(x)*F_53(x))
Eq(F_53(x), F_54(x)/F_4(x))
Eq(F_54(x), F_2(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_22(x)*F_4(x)*F_57(x))
Eq(F_57(x), F_58(x)/F_4(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_60(x) - F_62(x))
Eq(F_60(x), F_61(x)/F_4(x))
Eq(F_61(x), F_45(x))
Eq(F_62(x), F_46(x) + F_63(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_2(x)*F_4(x)*F_8(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_0(x)*F_4(x)*F_67(x)*F_75(x))
Eq(F_67(x), F_68(x) - F_72(x))
Eq(F_68(x), F_69(x)/(F_22(x)**2*F_4(x)))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_22(x)**2*F_4(x)*F_71(x))
Eq(F_71(x), F_16(x) + F_5(x))
Eq(F_72(x), F_22(x) + F_73(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_22(x)*F_4(x)*F_68(x))
Eq(F_75(x), F_76(x) + F_79(x))
Eq(F_76(x), F_0(x) + F_77(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_0(x)*F_4(x)*F_75(x))
Eq(F_79(x), F_77(x))
Eq(F_80(x), F_81(x) + F_82(x))
Eq(F_81(x), F_0(x)*F_2(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_4(x)*F_84(x))
Eq(F_84(x), F_85(x) + F_86(x))
Eq(F_85(x), F_59(x))
Eq(F_86(x), F_41(x))
Eq(F_87(x), F_88(x) + F_89(x))
Eq(F_88(x), F_2(x) + F_45(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_4(x)*F_91(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_4(x)*F_93(x))
Eq(F_93(x), F_94(x)/F_4(x))
Eq(F_94(x), F_35(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_4(x)*F_77(x)*F_97(x))
Eq(F_97(x), F_42(x) + F_98(x))
Eq(F_98(x), F_49(x) + F_53(x))
Eq(F_99(x), -F_100(x) + F_93(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_4(x)*F_75(x)*F_99(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_2(x)*F_22(x))
Eq(F_104(x), F_105(x) + F_47(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_0(x)*F_104(x)*F_4(x))
Eq(F_107(x), F_108(x))
Eq(F_108(x), F_109(x)*F_4(x))
Eq(F_109(x), F_110(x)/F_4(x))
Eq(F_110(x), F_111(x))
Eq(F_111(x), -F_112(x) + F_8(x))
Eq(F_112(x), F_5(x) + F_62(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_115(x)*F_4(x))
Eq(F_115(x), F_116(x) + F_117(x))
Eq(F_116(x), F_47(x)*F_9(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x)*F_4(x)*F_57(x))
Eq(F_119(x), F_120(x) + F_131(x))
Eq(F_120(x), F_1(x) + F_121(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_123(x)*F_4(x))
Eq(F_123(x), F_124(x) + F_125(x))
Eq(F_124(x), F_1(x) + F_4(x))
Eq(F_125(x), F_126(x) + F_23(x))
Eq(F_126(x), F_127(x) + F_128(x) + F_130(x))
Eq(F_127(x), 0)
Eq(F_128(x), F_129(x)*F_4(x))
Eq(F_129(x), F_126(x) + F_4(x))
Eq(F_130(x), F_23(x)*F_4(x))
Eq(F_131(x), F_132(x) + F_23(x))
Eq(F_132(x), F_127(x) + F_133(x) + F_135(x))
Eq(F_133(x), F_134(x)*F_4(x))
Eq(F_134(x), F_121(x) + F_132(x))
Eq(F_135(x), F_136(x)*F_4(x))
Eq(F_136(x), F_125(x) + F_137(x))
Eq(F_137(x), F_138(x) + F_143(x))
Eq(F_138(x), F_127(x) + F_139(x) + F_141(x))
Eq(F_139(x), F_140(x)*F_4(x))
Eq(F_140(x), F_138(x) + F_23(x))
Eq(F_141(x), F_142(x)*F_4(x))
Eq(F_142(x), F_138(x) + F_23(x))
Eq(F_143(x), F_127(x) + F_144(x) + F_146(x) + F_148(x))
Eq(F_144(x), F_145(x)*F_4(x))
Eq(F_145(x), F_126(x) + F_143(x))
Eq(F_146(x), F_147(x)*F_4(x))
Eq(F_147(x), F_126(x) + F_143(x))
Eq(F_148(x), F_138(x)*F_4(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1], [2, 3, 0, 4, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1], [2, 3, 0, 4, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 2], [0, 2], [0, 0], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 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"comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], 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{"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": 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[[1, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0], "pos": [[1, 5]]}, {"patt": [0], "pos": [[1, 6]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0], "pos": [[2, 3]]}, {"patt": [0], "pos": [[2, 4]]}, {"patt": [0], "pos": [[2, 5]]}, {"patt": [0], "pos": [[3, 0]]}, {"patt": [0], "pos": [[3, 2]]}, {"patt": [0], "pos": [[3, 3]]}, {"patt": [0], "pos": [[3, 4]]}, {"patt": [0], "pos": [[3, 5]]}, {"patt": [0], "pos": [[3, 6]]}, {"patt": [0], "pos": [[4, 0]]}, {"patt": [0], "pos": [[4, 1]]}, {"patt": [0], "pos": [[4, 2]]}, {"patt": [0], "pos": [[4, 3]]}, {"patt": [0], "pos": [[4, 5]]}, {"patt": [0], "pos": [[4, 6]]}, {"patt": [0], "pos": [[5, 1]]}, {"patt": [0], "pos": [[5, 2]]}, {"patt": [0], "pos": [[5, 4]]}, {"patt": [0], "pos": [[5, 6]]}, {"patt": [0, 1], "pos": [[2, 6], [2, 6]]}, {"patt": [0, 1], "pos": [[4, 4], [4, 4]]}, {"patt": [0, 1], "pos": [[5, 3], [5, 5]]}, {"patt": [1, 0], "pos": [[4, 4], [4, 4]]}, {"patt": [1, 0], "pos": [[5, 5], [5, 3]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 6], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 6], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[5, 0], [5, 3], [5, 0]]}, {"patt": [0, 2, 1], "pos": [[5, 0], [5, 5], [5, 0]]}, {"patt": [1, 0, 2], "pos": [[5, 3], [5, 3], [5, 3]]}, {"patt": [1, 0, 2], "pos": [[5, 5], [5, 5], [5, 5]]}, {"patt": [1, 2, 0], "pos": [[5, 3], [5, 3], [5, 3]]}, {"patt": [1, 2, 0], "pos": [[5, 5], [5, 5], [5, 5]]}, {"patt": [2, 0, 1], "pos": [[0, 2], [2, 1], [3, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 1], [2, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[2, 1], [2, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[2, 1], [2, 1], [3, 1], [3, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 2], [1, 2], [2, 1], [3, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[2, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[2, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}], "requirements": [[{"patt": [0], "pos": [[4, 4]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 3
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25313/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[4,x]*F[8,x]
F[8,x] = F[111,x]+F[9,x]
F[9,x] = F[10,x]+F[5,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[4,x]
F[12,x] = F[105,x]+F[13,x]
F[13,x] = F[0,x]*F[14,x]
F[14,x] = F[15,x]+F[9,x]
F[15,x] = F[16,x]
F[16,x] = F[17,x]
F[17,x] = F[18,x]*F[4,x]
F[18,x] = 1/F[4,x]*F[19,x]
F[19,x] = F[20,x]
F[20,x] = F[21,x]+F[25,x]
F[21,x] = F[2,x]*F[22,x]
F[22,x] = F[1,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[22,x]*F[4,x]
F[25,x] = F[26,x]
F[26,x] = F[27,x]*F[4,x]
F[27,x] = F[100,x]+F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[30,x]*F[4,x]
F[30,x] = 1/F[0,x]/F[4,x]*F[31,x]
F[31,x] = F[32,x]
F[32,x] = -F[95,x]+F[33,x]
F[33,x] = 1/F[4,x]*F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[36,x]+F[91,x]
F[36,x] = -F[47,x]+F[37,x]
F[37,x] = F[38,x]+F[88,x]
F[38,x] = -F[81,x]+F[39,x]
F[39,x] = F[40,x]+F[41,x]
F[40,x] = F[0,x]^2
F[41,x] = -F[66,x]+F[42,x]
F[42,x] = -F[49,x]+F[43,x]
F[43,x] = 1/F[4,x]*F[44,x]
F[44,x] = F[45,x]
F[45,x] = -F[2,x]+F[46,x]
F[46,x] = -F[0,x]+F[47,x]
F[47,x] = 1/F[4,x]*F[48,x]
F[48,x] = F[2,x]
F[49,x] = F[50,x]
F[50,x] = F[4,x]*F[51,x]
F[51,x] = F[52,x]+F[55,x]
F[52,x] = F[47,x]*F[53,x]
F[53,x] = 1/F[4,x]*F[54,x]
F[54,x] = F[2,x]
F[55,x] = F[56,x]
F[56,x] = F[22,x]*F[4,x]*F[57,x]
F[57,x] = 1/F[4,x]*F[58,x]
F[58,x] = F[59,x]
F[59,x] = -F[62,x]+F[60,x]
F[60,x] = 1/F[4,x]*F[61,x]
F[61,x] = F[45,x]
F[62,x] = F[63,x]+F[64,x]
F[63,x] = F[2,x]+F[45,x]
F[64,x] = F[65,x]
F[65,x] = F[2,x]*F[4,x]*F[8,x]
F[66,x] = F[67,x]
F[67,x] = F[0,x]*F[4,x]*F[68,x]*F[76,x]
F[68,x] = -F[73,x]+F[69,x]
F[69,x] = 1/F[22,x]^2/F[4,x]*F[70,x]
F[70,x] = F[71,x]
F[71,x] = F[22,x]^2*F[4,x]*F[72,x]
F[72,x] = F[16,x]+F[5,x]
F[73,x] = F[22,x]+F[74,x]
F[74,x] = F[75,x]
F[75,x] = F[22,x]*F[4,x]*F[69,x]
F[76,x] = F[77,x]+F[80,x]
F[77,x] = F[0,x]+F[78,x]
F[78,x] = F[79,x]
F[79,x] = F[0,x]*F[4,x]*F[76,x]
F[80,x] = F[78,x]
F[81,x] = F[82,x]+F[83,x]
F[82,x] = F[0,x]*F[2,x]
F[83,x] = F[84,x]
F[84,x] = F[4,x]*F[85,x]
F[85,x] = F[86,x]+F[87,x]
F[86,x] = F[59,x]
F[87,x] = F[41,x]
F[88,x] = F[46,x]+F[89,x]
F[89,x] = F[90,x]
F[90,x] = F[35,x]*F[4,x]
F[91,x] = F[92,x]
F[92,x] = F[4,x]*F[78,x]*F[93,x]
F[93,x] = F[42,x]+F[94,x]
F[94,x] = F[49,x]+F[53,x]
F[95,x] = -F[98,x]+F[96,x]
F[96,x] = 1/F[4,x]*F[97,x]
F[97,x] = F[35,x]
F[98,x] = F[99,x]
F[99,x] = F[4,x]*F[76,x]*F[95,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[2,x]*F[22,x]
F[102,x] = F[103,x]+F[47,x]
F[103,x] = F[104,x]
F[104,x] = F[0,x]*F[102,x]*F[4,x]
F[105,x] = F[106,x]
F[106,x] = F[107,x]*F[4,x]
F[107,x] = 1/F[4,x]*F[108,x]
F[108,x] = F[109,x]
F[109,x] = -F[110,x]+F[8,x]
F[110,x] = F[5,x]+F[62,x]
F[111,x] = F[112,x]
F[112,x] = F[113,x]*F[4,x]
F[113,x] = F[114,x]+F[115,x]
F[114,x] = F[47,x]*F[9,x]
F[115,x] = F[116,x]
F[116,x] = F[117,x]*F[4,x]*F[57,x]
F[117,x] = F[118,x]+F[129,x]
F[118,x] = F[1,x]+F[119,x]
F[119,x] = F[120,x]
F[120,x] = F[121,x]*F[4,x]
F[121,x] = F[122,x]+F[123,x]
F[122,x] = F[1,x]+F[4,x]
F[123,x] = F[124,x]+F[23,x]
F[124,x] = F[125,x]+F[126,x]+F[128,x]
F[125,x] = 0
F[126,x] = F[127,x]*F[4,x]
F[127,x] = F[124,x]+F[4,x]
F[128,x] = F[23,x]*F[4,x]
F[129,x] = F[130,x]+F[23,x]
F[130,x] = F[125,x]+F[131,x]+F[133,x]
F[131,x] = F[132,x]*F[4,x]
F[132,x] = F[119,x]+F[130,x]
F[133,x] = F[134,x]*F[4,x]
F[134,x] = F[123,x]+F[135,x]
F[135,x] = F[136,x]+F[141,x]
F[136,x] = F[125,x]+F[137,x]+F[139,x]
F[137,x] = F[138,x]*F[4,x]
F[138,x] = F[136,x]+F[23,x]
F[139,x] = F[140,x]*F[4,x]
F[140,x] = F[136,x]+F[23,x]
F[141,x] = F[125,x]+F[142,x]+F[144,x]+F[146,x]
F[142,x] = F[143,x]*F[4,x]
F[143,x] = F[124,x]+F[141,x]
F[144,x] = F[145,x]*F[4,x]
F[145,x] = F[124,x]+F[141,x]
F[146,x] = F[136,x]*F[4,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{111}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{5}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{12}\! \left(x \right) = F_{105}\! \left(x \right)+F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{0}\! \left(x \right) F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{9}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{4}\! \left(x \right)
F_{18}\! \left(x \right) = \frac{F_{19}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{25}\! \left(x \right)
F_{21}\! \left(x \right) = F_{2}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{1}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right) F_{4}\! \left(x \right)
F_{27}\! \left(x \right) = F_{100}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right) F_{4}\! \left(x \right)
F_{30}\! \left(x \right) = \frac{F_{31}\! \left(x \right)}{F_{0}\! \left(x \right) F_{4}\! \left(x \right)}
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = -F_{95}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = \frac{F_{34}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{91}\! \left(x \right)
F_{36}\! \left(x \right) = -F_{47}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{88}\! \left(x \right)
F_{38}\! \left(x \right) = -F_{81}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{41}\! \left(x \right)
F_{40}\! \left(x \right) = F_{0} \left(x \right)^{2}
F_{41}\! \left(x \right) = -F_{66}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = -F_{49}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = \frac{F_{44}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{2}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{4}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{55}\! \left(x \right)
F_{52}\! \left(x \right) = F_{47}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = \frac{F_{54}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{54}\! \left(x \right) = F_{2}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = \frac{F_{58}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = -F_{62}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = \frac{F_{61}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{61}\! \left(x \right) = F_{45}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{64}\! \left(x \right)
F_{63}\! \left(x \right) = F_{2}\! \left(x \right)+F_{45}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{68}\! \left(x \right) F_{76}\! \left(x \right)
F_{68}\! \left(x \right) = -F_{73}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = \frac{F_{70}\! \left(x \right)}{F_{22} \left(x \right)^{2} F_{4}\! \left(x \right)}
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{22} \left(x \right)^{2} F_{4}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{16}\! \left(x \right)+F_{5}\! \left(x \right)
F_{73}\! \left(x \right) = F_{22}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right) F_{69}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)+F_{80}\! \left(x \right)
F_{77}\! \left(x \right) = F_{0}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{76}\! \left(x \right)
F_{80}\! \left(x \right) = F_{78}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{83}\! \left(x \right)
F_{82}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{4}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)+F_{87}\! \left(x \right)
F_{86}\! \left(x \right) = F_{59}\! \left(x \right)
F_{87}\! \left(x \right) = F_{41}\! \left(x \right)
F_{88}\! \left(x \right) = F_{46}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{4}\! \left(x \right) F_{78}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{42}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{49}\! \left(x \right)+F_{53}\! \left(x \right)
F_{95}\! \left(x \right) = -F_{98}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = \frac{F_{97}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{97}\! \left(x \right) = F_{35}\! \left(x \right)
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{4}\! \left(x \right) F_{76}\! \left(x \right) F_{95}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{2}\! \left(x \right) F_{22}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{47}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{0}\! \left(x \right) F_{102}\! \left(x \right) F_{4}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{4}\! \left(x \right)
F_{107}\! \left(x \right) = \frac{F_{108}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = -F_{110}\! \left(x \right)+F_{8}\! \left(x \right)
F_{110}\! \left(x \right) = F_{5}\! \left(x \right)+F_{62}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{4}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{115}\! \left(x \right)
F_{114}\! \left(x \right) = F_{47}\! \left(x \right) F_{9}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right) F_{4}\! \left(x \right) F_{57}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{129}\! \left(x \right)
F_{118}\! \left(x \right) = F_{1}\! \left(x \right)+F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{4}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{123}\! \left(x \right)
F_{122}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{23}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{126}\! \left(x \right)+F_{128}\! \left(x \right)
F_{125}\! \left(x \right) = 0
F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{4}\! \left(x \right)
F_{127}\! \left(x \right) = F_{124}\! \left(x \right)+F_{4}\! \left(x \right)
F_{128}\! \left(x \right) = F_{23}\! \left(x \right) F_{4}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{23}\! \left(x \right)
F_{130}\! \left(x \right) = F_{125}\! \left(x \right)+F_{131}\! \left(x \right)+F_{133}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right) F_{4}\! \left(x \right)
F_{132}\! \left(x \right) = F_{119}\! \left(x \right)+F_{130}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right) F_{4}\! \left(x \right)
F_{134}\! \left(x \right) = F_{123}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)+F_{141}\! \left(x \right)
F_{136}\! \left(x \right) = F_{125}\! \left(x \right)+F_{137}\! \left(x \right)+F_{139}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right) F_{4}\! \left(x \right)
F_{138}\! \left(x \right) = F_{136}\! \left(x \right)+F_{23}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right) F_{4}\! \left(x \right)
F_{140}\! \left(x \right) = F_{136}\! \left(x \right)+F_{23}\! \left(x \right)
F_{141}\! \left(x \right) = F_{125}\! \left(x \right)+F_{142}\! \left(x \right)+F_{144}\! \left(x \right)+F_{146}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right) F_{4}\! \left(x \right)
F_{143}\! \left(x \right) = F_{124}\! \left(x \right)+F_{141}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{4}\! \left(x \right)
F_{145}\! \left(x \right) = F_{124}\! \left(x \right)+F_{141}\! \left(x \right)
F_{146}\! \left(x \right) = F_{136}\! \left(x \right) F_{4}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_4(x)*F_8(x))
Eq(F_8(x), F_111(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_5(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_4(x))
Eq(F_12(x), F_105(x) + F_13(x))
Eq(F_13(x), F_0(x)*F_14(x))
Eq(F_14(x), F_15(x) + F_9(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x)*F_4(x))
Eq(F_18(x), F_19(x)/F_4(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_21(x) + F_25(x))
Eq(F_21(x), F_2(x)*F_22(x))
Eq(F_22(x), F_1(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_22(x)*F_4(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_27(x)*F_4(x))
Eq(F_27(x), F_100(x) + F_28(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_30(x)*F_4(x))
Eq(F_30(x), F_31(x)/(F_0(x)*F_4(x)))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_33(x) - F_95(x))
Eq(F_33(x), F_34(x)/F_4(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_36(x) + F_91(x))
Eq(F_36(x), F_37(x) - F_47(x))
Eq(F_37(x), F_38(x) + F_88(x))
Eq(F_38(x), F_39(x) - F_81(x))
Eq(F_39(x), F_40(x) + F_41(x))
Eq(F_40(x), F_0(x)**2)
Eq(F_41(x), F_42(x) - F_66(x))
Eq(F_42(x), F_43(x) - F_49(x))
Eq(F_43(x), F_44(x)/F_4(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), -F_2(x) + F_46(x))
Eq(F_46(x), -F_0(x) + F_47(x))
Eq(F_47(x), F_48(x)/F_4(x))
Eq(F_48(x), F_2(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_4(x)*F_51(x))
Eq(F_51(x), F_52(x) + F_55(x))
Eq(F_52(x), F_47(x)*F_53(x))
Eq(F_53(x), F_54(x)/F_4(x))
Eq(F_54(x), F_2(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_22(x)*F_4(x)*F_57(x))
Eq(F_57(x), F_58(x)/F_4(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_60(x) - F_62(x))
Eq(F_60(x), F_61(x)/F_4(x))
Eq(F_61(x), F_45(x))
Eq(F_62(x), F_63(x) + F_64(x))
Eq(F_63(x), F_2(x) + F_45(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_2(x)*F_4(x)*F_8(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_0(x)*F_4(x)*F_68(x)*F_76(x))
Eq(F_68(x), F_69(x) - F_73(x))
Eq(F_69(x), F_70(x)/(F_22(x)**2*F_4(x)))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_22(x)**2*F_4(x)*F_72(x))
Eq(F_72(x), F_16(x) + F_5(x))
Eq(F_73(x), F_22(x) + F_74(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_22(x)*F_4(x)*F_69(x))
Eq(F_76(x), F_77(x) + F_80(x))
Eq(F_77(x), F_0(x) + F_78(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_0(x)*F_4(x)*F_76(x))
Eq(F_80(x), F_78(x))
Eq(F_81(x), F_82(x) + F_83(x))
Eq(F_82(x), F_0(x)*F_2(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_4(x)*F_85(x))
Eq(F_85(x), F_86(x) + F_87(x))
Eq(F_86(x), F_59(x))
Eq(F_87(x), F_41(x))
Eq(F_88(x), F_46(x) + F_89(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_35(x)*F_4(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_4(x)*F_78(x)*F_93(x))
Eq(F_93(x), F_42(x) + F_94(x))
Eq(F_94(x), F_49(x) + F_53(x))
Eq(F_95(x), F_96(x) - F_98(x))
Eq(F_96(x), F_97(x)/F_4(x))
Eq(F_97(x), F_35(x))
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_4(x)*F_76(x)*F_95(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_2(x)*F_22(x))
Eq(F_102(x), F_103(x) + F_47(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_0(x)*F_102(x)*F_4(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_107(x)*F_4(x))
Eq(F_107(x), F_108(x)/F_4(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), -F_110(x) + F_8(x))
Eq(F_110(x), F_5(x) + F_62(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_113(x)*F_4(x))
Eq(F_113(x), F_114(x) + F_115(x))
Eq(F_114(x), F_47(x)*F_9(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_117(x)*F_4(x)*F_57(x))
Eq(F_117(x), F_118(x) + F_129(x))
Eq(F_118(x), F_1(x) + F_119(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_121(x)*F_4(x))
Eq(F_121(x), F_122(x) + F_123(x))
Eq(F_122(x), F_1(x) + F_4(x))
Eq(F_123(x), F_124(x) + F_23(x))
Eq(F_124(x), F_125(x) + F_126(x) + F_128(x))
Eq(F_125(x), 0)
Eq(F_126(x), F_127(x)*F_4(x))
Eq(F_127(x), F_124(x) + F_4(x))
Eq(F_128(x), F_23(x)*F_4(x))
Eq(F_129(x), F_130(x) + F_23(x))
Eq(F_130(x), F_125(x) + F_131(x) + F_133(x))
Eq(F_131(x), F_132(x)*F_4(x))
Eq(F_132(x), F_119(x) + F_130(x))
Eq(F_133(x), F_134(x)*F_4(x))
Eq(F_134(x), F_123(x) + F_135(x))
Eq(F_135(x), F_136(x) + F_141(x))
Eq(F_136(x), F_125(x) + F_137(x) + F_139(x))
Eq(F_137(x), F_138(x)*F_4(x))
Eq(F_138(x), F_136(x) + F_23(x))
Eq(F_139(x), F_140(x)*F_4(x))
Eq(F_140(x), F_136(x) + F_23(x))
Eq(F_141(x), F_125(x) + F_142(x) + F_144(x) + F_146(x))
Eq(F_142(x), F_143(x)*F_4(x))
Eq(F_143(x), F_124(x) + F_141(x))
Eq(F_144(x), F_145(x)*F_4(x))
Eq(F_145(x), F_124(x) + F_141(x))
Eq(F_146(x), F_136(x)*F_4(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1], [2, 3, 0, 4, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1], [2, 3, 0, 4, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 2], [0, 2], [0, 0], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [0, 2]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, 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2], [1, 2], [1, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 1], [2, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[2, 1], [2, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[2, 1], [2, 1], [3, 1], [3, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 2], [1, 2], [2, 1], [3, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[2, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[2, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}], "requirements": [[{"patt": [0], "pos": [[4, 4]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 4
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25320/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[4,x]*F[8,x]
F[8,x] = F[111,x]+F[9,x]
F[9,x] = F[10,x]+F[5,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[4,x]
F[12,x] = F[105,x]+F[13,x]
F[13,x] = F[0,x]*F[14,x]
F[14,x] = F[15,x]+F[9,x]
F[15,x] = F[16,x]
F[16,x] = F[17,x]
F[17,x] = F[18,x]*F[4,x]
F[18,x] = 1/F[4,x]*F[19,x]
F[19,x] = F[20,x]
F[20,x] = F[21,x]+F[25,x]
F[21,x] = F[2,x]*F[22,x]
F[22,x] = F[1,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[22,x]*F[4,x]
F[25,x] = F[26,x]
F[26,x] = F[27,x]*F[4,x]
F[27,x] = F[100,x]+F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[30,x]*F[4,x]
F[30,x] = 1/F[0,x]/F[4,x]*F[31,x]
F[31,x] = F[32,x]
F[32,x] = -F[95,x]+F[33,x]
F[33,x] = 1/F[4,x]*F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[36,x]+F[91,x]
F[36,x] = -F[47,x]+F[37,x]
F[37,x] = F[38,x]+F[88,x]
F[38,x] = -F[81,x]+F[39,x]
F[39,x] = F[40,x]+F[41,x]
F[40,x] = F[0,x]^2
F[41,x] = -F[66,x]+F[42,x]
F[42,x] = -F[49,x]+F[43,x]
F[43,x] = 1/F[4,x]*F[44,x]
F[44,x] = F[45,x]
F[45,x] = -F[2,x]+F[46,x]
F[46,x] = -F[0,x]+F[47,x]
F[47,x] = 1/F[4,x]*F[48,x]
F[48,x] = F[2,x]
F[49,x] = F[50,x]
F[50,x] = F[4,x]*F[51,x]
F[51,x] = F[52,x]+F[55,x]
F[52,x] = F[47,x]*F[53,x]
F[53,x] = 1/F[4,x]*F[54,x]
F[54,x] = F[2,x]
F[55,x] = F[56,x]
F[56,x] = F[22,x]*F[4,x]*F[57,x]
F[57,x] = 1/F[4,x]*F[58,x]
F[58,x] = F[59,x]
F[59,x] = -F[62,x]+F[60,x]
F[60,x] = 1/F[4,x]*F[61,x]
F[61,x] = F[45,x]
F[62,x] = F[63,x]+F[64,x]
F[63,x] = F[2,x]+F[45,x]
F[64,x] = F[65,x]
F[65,x] = F[2,x]*F[4,x]*F[8,x]
F[66,x] = F[67,x]
F[67,x] = F[0,x]*F[4,x]*F[68,x]*F[76,x]
F[68,x] = -F[73,x]+F[69,x]
F[69,x] = 1/F[22,x]^2/F[4,x]*F[70,x]
F[70,x] = F[71,x]
F[71,x] = F[22,x]^2*F[4,x]*F[72,x]
F[72,x] = F[16,x]+F[5,x]
F[73,x] = F[22,x]+F[74,x]
F[74,x] = F[75,x]
F[75,x] = F[22,x]*F[4,x]*F[69,x]
F[76,x] = F[77,x]+F[80,x]
F[77,x] = F[0,x]+F[78,x]
F[78,x] = F[79,x]
F[79,x] = F[0,x]*F[4,x]*F[76,x]
F[80,x] = F[78,x]
F[81,x] = F[82,x]+F[83,x]
F[82,x] = F[0,x]*F[2,x]
F[83,x] = F[84,x]
F[84,x] = F[4,x]*F[85,x]
F[85,x] = F[86,x]+F[87,x]
F[86,x] = F[59,x]
F[87,x] = F[41,x]
F[88,x] = F[46,x]+F[89,x]
F[89,x] = F[90,x]
F[90,x] = F[35,x]*F[4,x]
F[91,x] = F[92,x]
F[92,x] = F[4,x]*F[78,x]*F[93,x]
F[93,x] = F[42,x]+F[94,x]
F[94,x] = F[49,x]+F[53,x]
F[95,x] = -F[98,x]+F[96,x]
F[96,x] = 1/F[4,x]*F[97,x]
F[97,x] = F[35,x]
F[98,x] = F[99,x]
F[99,x] = F[4,x]*F[76,x]*F[95,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[2,x]*F[22,x]
F[102,x] = F[103,x]+F[47,x]
F[103,x] = F[104,x]
F[104,x] = F[0,x]*F[102,x]*F[4,x]
F[105,x] = F[106,x]
F[106,x] = F[107,x]*F[4,x]
F[107,x] = 1/F[4,x]*F[108,x]
F[108,x] = F[109,x]
F[109,x] = -F[110,x]+F[8,x]
F[110,x] = F[5,x]+F[62,x]
F[111,x] = F[112,x]
F[112,x] = F[113,x]*F[4,x]
F[113,x] = F[114,x]+F[115,x]
F[114,x] = F[47,x]*F[9,x]
F[115,x] = F[116,x]
F[116,x] = F[117,x]*F[4,x]*F[57,x]
F[117,x] = F[118,x]+F[129,x]
F[118,x] = F[1,x]+F[119,x]
F[119,x] = F[120,x]
F[120,x] = F[121,x]*F[4,x]
F[121,x] = F[122,x]+F[123,x]
F[122,x] = F[1,x]+F[4,x]
F[123,x] = F[124,x]+F[23,x]
F[124,x] = F[125,x]+F[126,x]+F[128,x]
F[125,x] = 0
F[126,x] = F[127,x]*F[4,x]
F[127,x] = F[124,x]+F[4,x]
F[128,x] = F[23,x]*F[4,x]
F[129,x] = F[130,x]+F[23,x]
F[130,x] = F[125,x]+F[131,x]+F[133,x]
F[131,x] = F[132,x]*F[4,x]
F[132,x] = F[119,x]+F[130,x]
F[133,x] = F[134,x]*F[4,x]
F[134,x] = F[123,x]+F[135,x]
F[135,x] = F[136,x]+F[141,x]
F[136,x] = F[125,x]+F[137,x]+F[139,x]
F[137,x] = F[138,x]*F[4,x]
F[138,x] = F[136,x]+F[23,x]
F[139,x] = F[140,x]*F[4,x]
F[140,x] = F[136,x]+F[23,x]
F[141,x] = F[125,x]+F[142,x]+F[144,x]+F[146,x]
F[142,x] = F[143,x]*F[4,x]
F[143,x] = F[124,x]+F[141,x]
F[144,x] = F[145,x]*F[4,x]
F[145,x] = F[124,x]+F[141,x]
F[146,x] = F[136,x]*F[4,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{111}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{5}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{12}\! \left(x \right) = F_{105}\! \left(x \right)+F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{0}\! \left(x \right) F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{9}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{4}\! \left(x \right)
F_{18}\! \left(x \right) = \frac{F_{19}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{25}\! \left(x \right)
F_{21}\! \left(x \right) = F_{2}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{1}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right) F_{4}\! \left(x \right)
F_{27}\! \left(x \right) = F_{100}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right) F_{4}\! \left(x \right)
F_{30}\! \left(x \right) = \frac{F_{31}\! \left(x \right)}{F_{0}\! \left(x \right) F_{4}\! \left(x \right)}
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = -F_{95}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = \frac{F_{34}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{91}\! \left(x \right)
F_{36}\! \left(x \right) = -F_{47}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{88}\! \left(x \right)
F_{38}\! \left(x \right) = -F_{81}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{41}\! \left(x \right)
F_{40}\! \left(x \right) = F_{0} \left(x \right)^{2}
F_{41}\! \left(x \right) = -F_{66}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = -F_{49}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = \frac{F_{44}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{2}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{4}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{55}\! \left(x \right)
F_{52}\! \left(x \right) = F_{47}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = \frac{F_{54}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{54}\! \left(x \right) = F_{2}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = \frac{F_{58}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = -F_{62}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = \frac{F_{61}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{61}\! \left(x \right) = F_{45}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{64}\! \left(x \right)
F_{63}\! \left(x \right) = F_{2}\! \left(x \right)+F_{45}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{68}\! \left(x \right) F_{76}\! \left(x \right)
F_{68}\! \left(x \right) = -F_{73}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = \frac{F_{70}\! \left(x \right)}{F_{22} \left(x \right)^{2} F_{4}\! \left(x \right)}
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{22} \left(x \right)^{2} F_{4}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{16}\! \left(x \right)+F_{5}\! \left(x \right)
F_{73}\! \left(x \right) = F_{22}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right) F_{69}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)+F_{80}\! \left(x \right)
F_{77}\! \left(x \right) = F_{0}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{76}\! \left(x \right)
F_{80}\! \left(x \right) = F_{78}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{83}\! \left(x \right)
F_{82}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{4}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)+F_{87}\! \left(x \right)
F_{86}\! \left(x \right) = F_{59}\! \left(x \right)
F_{87}\! \left(x \right) = F_{41}\! \left(x \right)
F_{88}\! \left(x \right) = F_{46}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{4}\! \left(x \right) F_{78}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{42}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{49}\! \left(x \right)+F_{53}\! \left(x \right)
F_{95}\! \left(x \right) = -F_{98}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = \frac{F_{97}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{97}\! \left(x \right) = F_{35}\! \left(x \right)
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{4}\! \left(x \right) F_{76}\! \left(x \right) F_{95}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{2}\! \left(x \right) F_{22}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{47}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{0}\! \left(x \right) F_{102}\! \left(x \right) F_{4}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{4}\! \left(x \right)
F_{107}\! \left(x \right) = \frac{F_{108}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = -F_{110}\! \left(x \right)+F_{8}\! \left(x \right)
F_{110}\! \left(x \right) = F_{5}\! \left(x \right)+F_{62}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{4}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{115}\! \left(x \right)
F_{114}\! \left(x \right) = F_{47}\! \left(x \right) F_{9}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right) F_{4}\! \left(x \right) F_{57}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{129}\! \left(x \right)
F_{118}\! \left(x \right) = F_{1}\! \left(x \right)+F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{4}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{123}\! \left(x \right)
F_{122}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{23}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{126}\! \left(x \right)+F_{128}\! \left(x \right)
F_{125}\! \left(x \right) = 0
F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{4}\! \left(x \right)
F_{127}\! \left(x \right) = F_{124}\! \left(x \right)+F_{4}\! \left(x \right)
F_{128}\! \left(x \right) = F_{23}\! \left(x \right) F_{4}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{23}\! \left(x \right)
F_{130}\! \left(x \right) = F_{125}\! \left(x \right)+F_{131}\! \left(x \right)+F_{133}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right) F_{4}\! \left(x \right)
F_{132}\! \left(x \right) = F_{119}\! \left(x \right)+F_{130}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right) F_{4}\! \left(x \right)
F_{134}\! \left(x \right) = F_{123}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)+F_{141}\! \left(x \right)
F_{136}\! \left(x \right) = F_{125}\! \left(x \right)+F_{137}\! \left(x \right)+F_{139}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right) F_{4}\! \left(x \right)
F_{138}\! \left(x \right) = F_{136}\! \left(x \right)+F_{23}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right) F_{4}\! \left(x \right)
F_{140}\! \left(x \right) = F_{136}\! \left(x \right)+F_{23}\! \left(x \right)
F_{141}\! \left(x \right) = F_{125}\! \left(x \right)+F_{142}\! \left(x \right)+F_{144}\! \left(x \right)+F_{146}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right) F_{4}\! \left(x \right)
F_{143}\! \left(x \right) = F_{124}\! \left(x \right)+F_{141}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{4}\! \left(x \right)
F_{145}\! \left(x \right) = F_{124}\! \left(x \right)+F_{141}\! \left(x \right)
F_{146}\! \left(x \right) = F_{136}\! \left(x \right) F_{4}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_4(x)*F_8(x))
Eq(F_8(x), F_111(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_5(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_4(x))
Eq(F_12(x), F_105(x) + F_13(x))
Eq(F_13(x), F_0(x)*F_14(x))
Eq(F_14(x), F_15(x) + F_9(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x)*F_4(x))
Eq(F_18(x), F_19(x)/F_4(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_21(x) + F_25(x))
Eq(F_21(x), F_2(x)*F_22(x))
Eq(F_22(x), F_1(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_22(x)*F_4(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_27(x)*F_4(x))
Eq(F_27(x), F_100(x) + F_28(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_30(x)*F_4(x))
Eq(F_30(x), F_31(x)/(F_0(x)*F_4(x)))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_33(x) - F_95(x))
Eq(F_33(x), F_34(x)/F_4(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_36(x) + F_91(x))
Eq(F_36(x), F_37(x) - F_47(x))
Eq(F_37(x), F_38(x) + F_88(x))
Eq(F_38(x), F_39(x) - F_81(x))
Eq(F_39(x), F_40(x) + F_41(x))
Eq(F_40(x), F_0(x)**2)
Eq(F_41(x), F_42(x) - F_66(x))
Eq(F_42(x), F_43(x) - F_49(x))
Eq(F_43(x), F_44(x)/F_4(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), -F_2(x) + F_46(x))
Eq(F_46(x), -F_0(x) + F_47(x))
Eq(F_47(x), F_48(x)/F_4(x))
Eq(F_48(x), F_2(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_4(x)*F_51(x))
Eq(F_51(x), F_52(x) + F_55(x))
Eq(F_52(x), F_47(x)*F_53(x))
Eq(F_53(x), F_54(x)/F_4(x))
Eq(F_54(x), F_2(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_22(x)*F_4(x)*F_57(x))
Eq(F_57(x), F_58(x)/F_4(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_60(x) - F_62(x))
Eq(F_60(x), F_61(x)/F_4(x))
Eq(F_61(x), F_45(x))
Eq(F_62(x), F_63(x) + F_64(x))
Eq(F_63(x), F_2(x) + F_45(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_2(x)*F_4(x)*F_8(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_0(x)*F_4(x)*F_68(x)*F_76(x))
Eq(F_68(x), F_69(x) - F_73(x))
Eq(F_69(x), F_70(x)/(F_22(x)**2*F_4(x)))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_22(x)**2*F_4(x)*F_72(x))
Eq(F_72(x), F_16(x) + F_5(x))
Eq(F_73(x), F_22(x) + F_74(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_22(x)*F_4(x)*F_69(x))
Eq(F_76(x), F_77(x) + F_80(x))
Eq(F_77(x), F_0(x) + F_78(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_0(x)*F_4(x)*F_76(x))
Eq(F_80(x), F_78(x))
Eq(F_81(x), F_82(x) + F_83(x))
Eq(F_82(x), F_0(x)*F_2(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_4(x)*F_85(x))
Eq(F_85(x), F_86(x) + F_87(x))
Eq(F_86(x), F_59(x))
Eq(F_87(x), F_41(x))
Eq(F_88(x), F_46(x) + F_89(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_35(x)*F_4(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_4(x)*F_78(x)*F_93(x))
Eq(F_93(x), F_42(x) + F_94(x))
Eq(F_94(x), F_49(x) + F_53(x))
Eq(F_95(x), F_96(x) - F_98(x))
Eq(F_96(x), F_97(x)/F_4(x))
Eq(F_97(x), F_35(x))
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_4(x)*F_76(x)*F_95(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_2(x)*F_22(x))
Eq(F_102(x), F_103(x) + F_47(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_0(x)*F_102(x)*F_4(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_107(x)*F_4(x))
Eq(F_107(x), F_108(x)/F_4(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), -F_110(x) + F_8(x))
Eq(F_110(x), F_5(x) + F_62(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_113(x)*F_4(x))
Eq(F_113(x), F_114(x) + F_115(x))
Eq(F_114(x), F_47(x)*F_9(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_117(x)*F_4(x)*F_57(x))
Eq(F_117(x), F_118(x) + F_129(x))
Eq(F_118(x), F_1(x) + F_119(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_121(x)*F_4(x))
Eq(F_121(x), F_122(x) + F_123(x))
Eq(F_122(x), F_1(x) + F_4(x))
Eq(F_123(x), F_124(x) + F_23(x))
Eq(F_124(x), F_125(x) + F_126(x) + F_128(x))
Eq(F_125(x), 0)
Eq(F_126(x), F_127(x)*F_4(x))
Eq(F_127(x), F_124(x) + F_4(x))
Eq(F_128(x), F_23(x)*F_4(x))
Eq(F_129(x), F_130(x) + F_23(x))
Eq(F_130(x), F_125(x) + F_131(x) + F_133(x))
Eq(F_131(x), F_132(x)*F_4(x))
Eq(F_132(x), F_119(x) + F_130(x))
Eq(F_133(x), F_134(x)*F_4(x))
Eq(F_134(x), F_123(x) + F_135(x))
Eq(F_135(x), F_136(x) + F_141(x))
Eq(F_136(x), F_125(x) + F_137(x) + F_139(x))
Eq(F_137(x), F_138(x)*F_4(x))
Eq(F_138(x), F_136(x) + F_23(x))
Eq(F_139(x), F_140(x)*F_4(x))
Eq(F_140(x), F_136(x) + F_23(x))
Eq(F_141(x), F_125(x) + F_142(x) + F_144(x) + F_146(x))
Eq(F_142(x), F_143(x)*F_4(x))
Eq(F_143(x), F_124(x) + F_141(x))
Eq(F_144(x), F_145(x)*F_4(x))
Eq(F_145(x), F_124(x) + F_141(x))
Eq(F_146(x), F_136(x)*F_4(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1], [2, 3, 0, 4, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1], [2, 3, 0, 4, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 2], [0, 2], [0, 0], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [0, 2]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], 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{"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": 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2], [1, 2], [1, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 1], [2, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[2, 1], [2, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[2, 1], [2, 1], [3, 1], [3, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 2], [1, 2], [2, 1], [3, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [3, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[2, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[2, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}], "requirements": [[{"patt": [0], "pos": [[4, 4]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 5
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25928/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[4,x]*F[8,x]
F[8,x] = F[113,x]+F[9,x]
F[9,x] = F[10,x]+F[5,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[4,x]
F[12,x] = F[107,x]+F[13,x]
F[13,x] = F[0,x]*F[14,x]
F[14,x] = F[15,x]+F[9,x]
F[15,x] = F[16,x]
F[16,x] = F[17,x]
F[17,x] = F[18,x]*F[4,x]
F[18,x] = 1/F[4,x]*F[19,x]
F[19,x] = F[20,x]
F[20,x] = F[21,x]+F[25,x]
F[21,x] = F[2,x]*F[22,x]
F[22,x] = F[1,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[22,x]*F[4,x]
F[25,x] = F[26,x]
F[26,x] = F[27,x]*F[4,x]
F[27,x] = F[102,x]+F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[30,x]*F[4,x]
F[30,x] = 1/F[0,x]/F[4,x]*F[31,x]
F[31,x] = F[32,x]
F[32,x] = -F[99,x]+F[33,x]
F[33,x] = 1/F[4,x]*F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[36,x]+F[95,x]
F[36,x] = -F[47,x]+F[37,x]
F[37,x] = F[38,x]+F[87,x]
F[38,x] = -F[80,x]+F[39,x]
F[39,x] = F[40,x]+F[41,x]
F[40,x] = F[0,x]^2
F[41,x] = -F[65,x]+F[42,x]
F[42,x] = -F[49,x]+F[43,x]
F[43,x] = 1/F[4,x]*F[44,x]
F[44,x] = F[45,x]
F[45,x] = -F[2,x]+F[46,x]
F[46,x] = -F[0,x]+F[47,x]
F[47,x] = 1/F[4,x]*F[48,x]
F[48,x] = F[2,x]
F[49,x] = F[50,x]
F[50,x] = F[4,x]*F[51,x]
F[51,x] = F[52,x]+F[55,x]
F[52,x] = F[47,x]*F[53,x]
F[53,x] = 1/F[4,x]*F[54,x]
F[54,x] = F[2,x]
F[55,x] = F[56,x]
F[56,x] = F[22,x]*F[4,x]*F[57,x]
F[57,x] = 1/F[4,x]*F[58,x]
F[58,x] = F[59,x]
F[59,x] = -F[62,x]+F[60,x]
F[60,x] = 1/F[4,x]*F[61,x]
F[61,x] = F[45,x]
F[62,x] = F[46,x]+F[63,x]
F[63,x] = F[64,x]
F[64,x] = F[2,x]*F[4,x]*F[8,x]
F[65,x] = F[66,x]
F[66,x] = F[0,x]*F[4,x]*F[67,x]*F[75,x]
F[67,x] = -F[72,x]+F[68,x]
F[68,x] = 1/F[22,x]^2/F[4,x]*F[69,x]
F[69,x] = F[70,x]
F[70,x] = F[22,x]^2*F[4,x]*F[71,x]
F[71,x] = F[16,x]+F[5,x]
F[72,x] = F[22,x]+F[73,x]
F[73,x] = F[74,x]
F[74,x] = F[22,x]*F[4,x]*F[68,x]
F[75,x] = F[76,x]+F[79,x]
F[76,x] = F[0,x]+F[77,x]
F[77,x] = F[78,x]
F[78,x] = F[0,x]*F[4,x]*F[75,x]
F[79,x] = F[77,x]
F[80,x] = F[81,x]+F[82,x]
F[81,x] = F[0,x]*F[2,x]
F[82,x] = F[83,x]
F[83,x] = F[4,x]*F[84,x]
F[84,x] = F[85,x]+F[86,x]
F[85,x] = F[59,x]
F[86,x] = F[41,x]
F[87,x] = F[88,x]+F[89,x]
F[88,x] = F[2,x]+F[45,x]
F[89,x] = F[90,x]
F[90,x] = F[4,x]*F[91,x]
F[91,x] = F[92,x]
F[92,x] = F[4,x]*F[93,x]
F[93,x] = 1/F[4,x]*F[94,x]
F[94,x] = F[35,x]
F[95,x] = F[96,x]
F[96,x] = F[4,x]*F[77,x]*F[97,x]
F[97,x] = F[42,x]+F[98,x]
F[98,x] = F[49,x]+F[53,x]
F[99,x] = -F[100,x]+F[93,x]
F[100,x] = F[101,x]
F[101,x] = F[4,x]*F[75,x]*F[99,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[2,x]*F[22,x]
F[104,x] = F[105,x]+F[47,x]
F[105,x] = F[106,x]
F[106,x] = F[0,x]*F[104,x]*F[4,x]
F[107,x] = F[108,x]
F[108,x] = F[109,x]*F[4,x]
F[109,x] = 1/F[4,x]*F[110,x]
F[110,x] = F[111,x]
F[111,x] = -F[112,x]+F[8,x]
F[112,x] = F[5,x]+F[62,x]
F[113,x] = F[114,x]
F[114,x] = F[115,x]*F[4,x]
F[115,x] = F[116,x]+F[117,x]
F[116,x] = F[47,x]*F[9,x]
F[117,x] = F[118,x]
F[118,x] = F[119,x]*F[4,x]*F[57,x]
F[119,x] = F[120,x]+F[131,x]
F[120,x] = F[1,x]+F[121,x]
F[121,x] = F[122,x]
F[122,x] = F[123,x]*F[4,x]
F[123,x] = F[124,x]+F[125,x]
F[124,x] = F[1,x]+F[4,x]
F[125,x] = F[126,x]+F[23,x]
F[126,x] = F[127,x]+F[128,x]+F[130,x]
F[127,x] = 0
F[128,x] = F[129,x]*F[4,x]
F[129,x] = F[126,x]+F[4,x]
F[130,x] = F[23,x]*F[4,x]
F[131,x] = F[132,x]+F[23,x]
F[132,x] = F[127,x]+F[133,x]+F[135,x]
F[133,x] = F[134,x]*F[4,x]
F[134,x] = F[121,x]+F[132,x]
F[135,x] = F[136,x]*F[4,x]
F[136,x] = F[125,x]+F[137,x]
F[137,x] = F[138,x]+F[143,x]
F[138,x] = F[127,x]+F[139,x]+F[141,x]
F[139,x] = F[140,x]*F[4,x]
F[140,x] = F[138,x]+F[23,x]
F[141,x] = F[142,x]*F[4,x]
F[142,x] = F[138,x]+F[23,x]
F[143,x] = F[127,x]+F[144,x]+F[146,x]+F[148,x]
F[144,x] = F[145,x]*F[4,x]
F[145,x] = F[126,x]+F[143,x]
F[146,x] = F[147,x]*F[4,x]
F[147,x] = F[126,x]+F[143,x]
F[148,x] = F[138,x]*F[4,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{113}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{5}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{12}\! \left(x \right) = F_{107}\! \left(x \right)+F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{0}\! \left(x \right) F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{9}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{4}\! \left(x \right)
F_{18}\! \left(x \right) = \frac{F_{19}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{25}\! \left(x \right)
F_{21}\! \left(x \right) = F_{2}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{1}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right) F_{4}\! \left(x \right)
F_{27}\! \left(x \right) = F_{102}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right) F_{4}\! \left(x \right)
F_{30}\! \left(x \right) = \frac{F_{31}\! \left(x \right)}{F_{0}\! \left(x \right) F_{4}\! \left(x \right)}
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = -F_{99}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = \frac{F_{34}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{95}\! \left(x \right)
F_{36}\! \left(x \right) = -F_{47}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{87}\! \left(x \right)
F_{38}\! \left(x \right) = -F_{80}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{41}\! \left(x \right)
F_{40}\! \left(x \right) = F_{0} \left(x \right)^{2}
F_{41}\! \left(x \right) = -F_{65}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = -F_{49}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = \frac{F_{44}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{2}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{4}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{55}\! \left(x \right)
F_{52}\! \left(x \right) = F_{47}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = \frac{F_{54}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{54}\! \left(x \right) = F_{2}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = \frac{F_{58}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = -F_{62}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = \frac{F_{61}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{61}\! \left(x \right) = F_{45}\! \left(x \right)
F_{62}\! \left(x \right) = F_{46}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{67}\! \left(x \right) F_{75}\! \left(x \right)
F_{67}\! \left(x \right) = -F_{72}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = \frac{F_{69}\! \left(x \right)}{F_{22} \left(x \right)^{2} F_{4}\! \left(x \right)}
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{22} \left(x \right)^{2} F_{4}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{16}\! \left(x \right)+F_{5}\! \left(x \right)
F_{72}\! \left(x \right) = F_{22}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right) F_{68}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{79}\! \left(x \right)
F_{76}\! \left(x \right) = F_{0}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{75}\! \left(x \right)
F_{79}\! \left(x \right) = F_{77}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)+F_{82}\! \left(x \right)
F_{81}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{4}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{86}\! \left(x \right)
F_{85}\! \left(x \right) = F_{59}\! \left(x \right)
F_{86}\! \left(x \right) = F_{41}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)+F_{89}\! \left(x \right)
F_{88}\! \left(x \right) = F_{2}\! \left(x \right)+F_{45}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{4}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{4}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = \frac{F_{94}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{94}\! \left(x \right) = F_{35}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{4}\! \left(x \right) F_{77}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{42}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{49}\! \left(x \right)+F_{53}\! \left(x \right)
F_{99}\! \left(x \right) = -F_{100}\! \left(x \right)+F_{93}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{4}\! \left(x \right) F_{75}\! \left(x \right) F_{99}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{2}\! \left(x \right) F_{22}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{47}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{0}\! \left(x \right) F_{104}\! \left(x \right) F_{4}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right) F_{4}\! \left(x \right)
F_{109}\! \left(x \right) = \frac{F_{110}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = -F_{112}\! \left(x \right)+F_{8}\! \left(x \right)
F_{112}\! \left(x \right) = F_{5}\! \left(x \right)+F_{62}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right) F_{4}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{117}\! \left(x \right)
F_{116}\! \left(x \right) = F_{47}\! \left(x \right) F_{9}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{4}\! \left(x \right) F_{57}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{131}\! \left(x \right)
F_{120}\! \left(x \right) = F_{1}\! \left(x \right)+F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right) F_{4}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{125}\! \left(x \right)
F_{124}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{23}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{128}\! \left(x \right)+F_{130}\! \left(x \right)
F_{127}\! \left(x \right) = 0
F_{128}\! \left(x \right) = F_{129}\! \left(x \right) F_{4}\! \left(x \right)
F_{129}\! \left(x \right) = F_{126}\! \left(x \right)+F_{4}\! \left(x \right)
F_{130}\! \left(x \right) = F_{23}\! \left(x \right) F_{4}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{23}\! \left(x \right)
F_{132}\! \left(x \right) = F_{127}\! \left(x \right)+F_{133}\! \left(x \right)+F_{135}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right) F_{4}\! \left(x \right)
F_{134}\! \left(x \right) = F_{121}\! \left(x \right)+F_{132}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right) F_{4}\! \left(x \right)
F_{136}\! \left(x \right) = F_{125}\! \left(x \right)+F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{143}\! \left(x \right)
F_{138}\! \left(x \right) = F_{127}\! \left(x \right)+F_{139}\! \left(x \right)+F_{141}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right) F_{4}\! \left(x \right)
F_{140}\! \left(x \right) = F_{138}\! \left(x \right)+F_{23}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{4}\! \left(x \right)
F_{142}\! \left(x \right) = F_{138}\! \left(x \right)+F_{23}\! \left(x \right)
F_{143}\! \left(x \right) = F_{127}\! \left(x \right)+F_{144}\! \left(x \right)+F_{146}\! \left(x \right)+F_{148}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{4}\! \left(x \right)
F_{145}\! \left(x \right) = F_{126}\! \left(x \right)+F_{143}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{4}\! \left(x \right)
F_{147}\! \left(x \right) = F_{126}\! \left(x \right)+F_{143}\! \left(x \right)
F_{148}\! \left(x \right) = F_{138}\! \left(x \right) F_{4}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_4(x)*F_8(x))
Eq(F_8(x), F_113(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_5(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_4(x))
Eq(F_12(x), F_107(x) + F_13(x))
Eq(F_13(x), F_0(x)*F_14(x))
Eq(F_14(x), F_15(x) + F_9(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x)*F_4(x))
Eq(F_18(x), F_19(x)/F_4(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_21(x) + F_25(x))
Eq(F_21(x), F_2(x)*F_22(x))
Eq(F_22(x), F_1(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_22(x)*F_4(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_27(x)*F_4(x))
Eq(F_27(x), F_102(x) + F_28(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_30(x)*F_4(x))
Eq(F_30(x), F_31(x)/(F_0(x)*F_4(x)))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_33(x) - F_99(x))
Eq(F_33(x), F_34(x)/F_4(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_36(x) + F_95(x))
Eq(F_36(x), F_37(x) - F_47(x))
Eq(F_37(x), F_38(x) + F_87(x))
Eq(F_38(x), F_39(x) - F_80(x))
Eq(F_39(x), F_40(x) + F_41(x))
Eq(F_40(x), F_0(x)**2)
Eq(F_41(x), F_42(x) - F_65(x))
Eq(F_42(x), F_43(x) - F_49(x))
Eq(F_43(x), F_44(x)/F_4(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), -F_2(x) + F_46(x))
Eq(F_46(x), -F_0(x) + F_47(x))
Eq(F_47(x), F_48(x)/F_4(x))
Eq(F_48(x), F_2(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_4(x)*F_51(x))
Eq(F_51(x), F_52(x) + F_55(x))
Eq(F_52(x), F_47(x)*F_53(x))
Eq(F_53(x), F_54(x)/F_4(x))
Eq(F_54(x), F_2(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_22(x)*F_4(x)*F_57(x))
Eq(F_57(x), F_58(x)/F_4(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_60(x) - F_62(x))
Eq(F_60(x), F_61(x)/F_4(x))
Eq(F_61(x), F_45(x))
Eq(F_62(x), F_46(x) + F_63(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_2(x)*F_4(x)*F_8(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_0(x)*F_4(x)*F_67(x)*F_75(x))
Eq(F_67(x), F_68(x) - F_72(x))
Eq(F_68(x), F_69(x)/(F_22(x)**2*F_4(x)))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_22(x)**2*F_4(x)*F_71(x))
Eq(F_71(x), F_16(x) + F_5(x))
Eq(F_72(x), F_22(x) + F_73(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_22(x)*F_4(x)*F_68(x))
Eq(F_75(x), F_76(x) + F_79(x))
Eq(F_76(x), F_0(x) + F_77(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_0(x)*F_4(x)*F_75(x))
Eq(F_79(x), F_77(x))
Eq(F_80(x), F_81(x) + F_82(x))
Eq(F_81(x), F_0(x)*F_2(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_4(x)*F_84(x))
Eq(F_84(x), F_85(x) + F_86(x))
Eq(F_85(x), F_59(x))
Eq(F_86(x), F_41(x))
Eq(F_87(x), F_88(x) + F_89(x))
Eq(F_88(x), F_2(x) + F_45(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_4(x)*F_91(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_4(x)*F_93(x))
Eq(F_93(x), F_94(x)/F_4(x))
Eq(F_94(x), F_35(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_4(x)*F_77(x)*F_97(x))
Eq(F_97(x), F_42(x) + F_98(x))
Eq(F_98(x), F_49(x) + F_53(x))
Eq(F_99(x), -F_100(x) + F_93(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_4(x)*F_75(x)*F_99(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_2(x)*F_22(x))
Eq(F_104(x), F_105(x) + F_47(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_0(x)*F_104(x)*F_4(x))
Eq(F_107(x), F_108(x))
Eq(F_108(x), F_109(x)*F_4(x))
Eq(F_109(x), F_110(x)/F_4(x))
Eq(F_110(x), F_111(x))
Eq(F_111(x), -F_112(x) + F_8(x))
Eq(F_112(x), F_5(x) + F_62(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_115(x)*F_4(x))
Eq(F_115(x), F_116(x) + F_117(x))
Eq(F_116(x), F_47(x)*F_9(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x)*F_4(x)*F_57(x))
Eq(F_119(x), F_120(x) + F_131(x))
Eq(F_120(x), F_1(x) + F_121(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_123(x)*F_4(x))
Eq(F_123(x), F_124(x) + F_125(x))
Eq(F_124(x), F_1(x) + F_4(x))
Eq(F_125(x), F_126(x) + F_23(x))
Eq(F_126(x), F_127(x) + F_128(x) + F_130(x))
Eq(F_127(x), 0)
Eq(F_128(x), F_129(x)*F_4(x))
Eq(F_129(x), F_126(x) + F_4(x))
Eq(F_130(x), F_23(x)*F_4(x))
Eq(F_131(x), F_132(x) + F_23(x))
Eq(F_132(x), F_127(x) + F_133(x) + F_135(x))
Eq(F_133(x), F_134(x)*F_4(x))
Eq(F_134(x), F_121(x) + F_132(x))
Eq(F_135(x), F_136(x)*F_4(x))
Eq(F_136(x), F_125(x) + F_137(x))
Eq(F_137(x), F_138(x) + F_143(x))
Eq(F_138(x), F_127(x) + F_139(x) + F_141(x))
Eq(F_139(x), F_140(x)*F_4(x))
Eq(F_140(x), F_138(x) + F_23(x))
Eq(F_141(x), F_142(x)*F_4(x))
Eq(F_142(x), F_138(x) + F_23(x))
Eq(F_143(x), F_127(x) + F_144(x) + F_146(x) + F_148(x))
Eq(F_144(x), F_145(x)*F_4(x))
Eq(F_145(x), F_126(x) + F_143(x))
Eq(F_146(x), F_147(x)*F_4(x))
Eq(F_147(x), F_126(x) + F_143(x))
Eq(F_148(x), F_138(x)*F_4(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1], [2, 3, 0, 4, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 1, 3], [2, 0, 4, 3, 1], [2, 3, 0, 4, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 2], [0, 2], [0, 0], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [0, 2]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], 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{"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": 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