02314_02341_20314_20341_23014_23041
Counting sequence:
1, 1, 2, 6, 24, 114, 596, 3292, 18806, 109850, 651902, 3915492, 23744870, 145156886, 893509416, 5533356784, 34452494514, 215557445766, 1354631363502, 8547278977456, 54129915150820, 343969935649762, 2192614137564928, 14017135249661042, 89850108908202576, 577372576031820590, 3718739148370514224, 24003145309088474568, 155242492078418935652, 1005925541038742960224, 6529525993924589242836, 42453197988445192498940, 276444863256832084311366, 1802752405684933246108016, 11772168758094662094060452, 76972585948518529393206218, 503899501444614237250382166, 3302566023466469535159546690, 21668681378810960941728287912, 142318875685848815465157771964, 935662057155011877152526548970, 6157169456152453670536246703538, 40553592341831541761687528908014, 267328712259540699037803110402636, 1763652734920495959265271709590014, 11644370326663929123680489311149948, 76937788845369326728333532158279010, 508710134368192054261537162807183172, 3365853251834783292866789420522409224, 22284452016809085942844150830998018080, 147631611804136797018217026187291150106, 978625849783860788747883469497438523720, 6490883966974941546790336073235799120688, 43075600841938303152192981029842892939590, 286015918781059286023417375481931438050488, 1900080276832329212536790306554782279853664, 12628988143895916620137810013761078076658998, 83979333828474333648012718110991842137431320, 558697023973392139628249867104293027316961100, 3718549110572002790873818617647440475545882642, 24760386967114853991731704474355292595080329954, 164938450329505264969687515670404760264906312528, 1099160471162276154996812555756590068643475125554, 7327729310788764922467368519876871194844282104884, 48869909820318096108513970411932554361685228751620, 326041127646751283691107604769083520793580171739732, 2175991140123140819386306592183026485394381567096966, 14527507977734340766396445525807350529577449772739720, 97021943009400158325153231949785486259840122275165104, 648170756710700206065208446078938188387887680058109592, 4331571386281271622791002754279157779740761176209458890, 28955710485190306254236507336337862110082229530510814606, 193620783454507565321017987420991406414713497542168333130, 1295075725371612606664705416620005977869933915447418657648, 8664836763148937198522610967431976594616411042845950562284, 57988832748250610374677118100442658174459207733801034113954, 388189661216105818726273646510416389491409323676485647559050, 2599298511291235505625213640971883552944685664291316136146156, 17409169128744148978849307821594166783053694319655369508096510, 116629075034762562757166454405974703357200818077127384607833826, 781519523229702109626928627699958230542909113438742207489029990, 5238108119521716062342120814275320722947506684232473417448721594, 35116257085266632377517291798007429297237094087741965987577044562, 235471697452177430939905943289488442057799316477153892327793428602, 1579296334702492511907789411889775032658972104137766379116324562694, 10594506350039656275927682559094937664179640283979287444382641510950, 71086618248568128522810919784428647372497212496405582276501243929138, 477070907732654040217646644008926955431487653201414738513256134821312, 3202314300433397873695201417965938155989344157075695320636707194103748, 21499530547883598440915368845190832103292447056565462636493823281510624, 144369723479266461600759969977090503542627124675940299291312527049182654, 969624508089460584516472531005120646019159951358660695865166652221721704, 6513427767807001271267499944856269585219675195608149485703034016546302950, 43761528122241516664728671519286985223762096873397642632536820710234455702, 294069900028373813884482302153321630973272144625847557538513241627440010940, 1976433906180982610322987224208299999356694874825080440136914853315757027030, 13285750838434850452872672657942168720550049735876196505509463449764330990856, 89322424773584328144199824079897364652224580251008852108164460000562493644296, 600625892817636186217749980412233465273086323504772178209157840370703960237790, 4039385851721329576441865382408291569770599319128900297590029493294306861267562, 27170211027053191218246381919826513962439325396534043674613113374392535897517568
Specification 1
Strategy pack name: row_and_col_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://permpal.com/tree/24598/
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[4,x]
F[3,x] = x
F[4,x] = F[1,x]+F[5,x]+F[80,x]
F[5,x] = F[3,x]*F[6,x]
F[6,x] = F[4,x]+F[7,x]
F[7,x] = F[3,x]*F[8,x]
F[8,x] = F[9,x,1]
F[10,x,k[0]] = F[14,x,k[0]]*F[9,x,k[0]]
F[11,x,k[0]] = F[10,x,k[0]]+F[4,x]+F[63,x,k[0]]
F[11,x,k[0]] = F[12,x,k[0]]+F[15,x,k[0]]+F[79,x,k[0]]
F[12,x,k[0]] = F[0,x]+F[13,x,k[0]]
F[13,x,k[0]] = F[11,x,k[0]]*F[14,x,k[0]]
F[14,x,k[0]] = k[0]*x
F[15,x,k[0]] = F[16,x,k[0]]
F[16,x,k[0]] = F[14,x,k[0]]*F[17,x,k[0]]
F[17,x,k[0]] = F[18,x,k[0]]+F[73,x,k[0]]
F[18,x,k[0]] = F[19,x,k[0]]+F[72,x,k[0]]
F[19,x,k[0]] = F[20,x,k[0]]+F[21,x,k[0]]+F[4,x]
F[20,x,k[0]] = F[14,x,k[0]]*F[19,x,k[0]]
F[21,x,k[0]] = F[14,x,k[0]]*F[22,x,k[0]]
F[22,x,k[0]] = F[19,x,k[0]]+F[23,x,k[0]]+F[64,x,k[0]]
F[23,x,k[0]] = F[24,x,k[0]]
F[24,x,k[0]] = F[14,x,k[0]]*F[25,x,k[0]]*F[31,x,k[0]]
F[25,x,k[0]] = F[26,x,k[0]]+F[29,x,k[0]]
F[26,x,k[0]] = F[1,x]+F[27,x,k[0]]+F[28,x,k[0]]
F[27,x,k[0]] = F[14,x,k[0]]*F[26,x,k[0]]
F[28,x,k[0]] = F[14,x,k[0]]*F[25,x,k[0]]
F[29,x,k[0]] = F[30,x,k[0]]
F[30,x,k[0]] = F[14,x,k[0]]*F[25,x,k[0]]*F[26,x,k[0]]
F[31,x,k[0]] = F[32,x]+F[36,x,k[0]]+F[37,x,k[0]]
F[32,x] = F[0,x]+F[33,x]
F[33,x] = F[34,x]
F[34,x] = F[3,x]*F[35,x]
F[35,x] = F[31,x,1]
F[36,x,k[0]] = F[14,x,k[0]]*F[31,x,k[0]]
F[22,x,k[0]] = F[37,x,k[0]]+F[38,x]+F[42,x,k[0]]+F[43,x,k[0]]
F[38,x] = F[39,x]+F[4,x]
F[39,x] = F[40,x]
F[40,x] = F[3,x]*F[41,x]
F[41,x] = F[22,x,1]
F[42,x,k[0]] = F[14,x,k[0]]*F[22,x,k[0]]
F[43,x,k[0]] = F[44,x,k[0]]
F[9,x,k[0]] = F[44,x,k[0]]+F[45,x,k[0]]+F[6,x]+F[63,x,k[0]]
F[45,x,k[0]] = F[14,x,k[0]]*F[46,x,k[0]]
F[46,x,k[0]] = F[47,x,k[0]]+F[61,x,k[0]]+F[9,x,k[0]]
F[47,x,k[0]] = F[48,x,k[0]]
F[48,x,k[0]] = F[14,x,k[0]]*F[49,x,k[0]]
F[50,x,k[0]] = F[14,x,k[0]]*F[49,x,k[0]]
F[51,x,k[0]] = F[19,x,k[0]]+F[50,x,k[0]]+F[56,x,k[0]]+F[60,x,k[0]]
F[52,x,k[0]] = F[14,x,k[0]]*F[51,x,k[0]]
F[52,x,k[0]] = F[53,x,k[0]]
F[9,x,k[0]] = F[11,x,k[0]]+F[53,x,k[0]]+F[54,x,k[0]]
F[54,x,k[0]] = F[3,x]*F[55,x,k[0]]
F[55,x,k[0]] = (F[9,x,k[0]]*k[0]-F[9,x,1])/(-1+k[0])
F[56,x,k[0]] = F[14,x,k[0]]*F[31,x,k[0]]*F[57,x,k[0]]
F[58,x,k[0]] = F[14,x,k[0]]*F[57,x,k[0]]
F[25,x,k[0]] = F[1,x]+F[28,x,k[0]]+F[58,x,k[0]]+F[59,x,k[0]]
F[59,x,k[0]] = F[14,x,k[0]]*F[25,x,k[0]]
F[60,x,k[0]] = F[14,x,k[0]]*F[25,x,k[0]]*F[31,x,k[0]]
F[61,x,k[0]] = F[3,x]*F[62,x,k[0]]
F[62,x,k[0]] = (F[46,x,k[0]]*k[0]-F[46,x,1])/(-1+k[0])
F[63,x,k[0]] = F[21,x,k[0]]
F[64,x,k[0]] = F[65,x,k[0]]
F[65,x,k[0]] = F[3,x]*F[66,x,k[0]]
F[67,x,k[0]] = F[14,x,k[0]]*F[66,x,k[0]]
F[67,x,k[0]] = F[68,x,k[0]]
F[69,x,k[0]] = F[68,x,k[0]]+F[70,x]+F[71,x,k[0]]
F[69,x,k[0]] = (F[11,x,k[0]]*k[0]-F[11,x,1])/(-1+k[0])
F[70,x] = F[11,x,1]
F[71,x,k[0]] = F[14,x,k[0]]*F[55,x,k[0]]
F[72,x,k[0]] = F[14,x,k[0]]*F[17,x,k[0]]
F[73,x,k[0]] = F[74,x,k[0]]
F[74,x,k[0]] = F[14,x,k[0]]*F[26,x,k[0]]*F[31,x,k[0]]*F[75,x,k[0]]
F[75,x,k[0]] = F[76,x,k[0]]+F[77,x,k[0]]
F[76,x,k[0]] = x^2*F[76,x,k[0]]^2*k[0]^2-2*x*F[76,x,k[0]]^2*k[0]+x*F[76,x,k[0]]*k[0]+2*F[76,x,k[0]]-1
F[77,x,k[0]] = F[78,x,k[0]]
F[78,x,k[0]] = F[14,x,k[0]]*F[26,x,k[0]]*F[75,x,k[0]]
F[79,x,k[0]] = F[3,x]*F[69,x,k[0]]
F[80,x] = F[3,x]*F[38,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_{4}\! \left(x \right)
F_{3}\! \left(x \right) = x
F_{4}\! \left(x \right) = F_{1}\! \left(x \right)+F_{5}\! \left(x \right)+F_{80}\! \left(x \right)
F_{5}\! \left(x \right) = F_{3}\! \left(x \right) F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{4}\! \left(x \right)+F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{3}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{9}\! \left(x , 1\right)
F_{10}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{9}\! \left(x , y\right)
F_{11}\! \left(x , y\right) = F_{10}\! \left(x , y\right)+F_{4}\! \left(x \right)+F_{63}\! \left(x , y\right)
F_{11}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{15}\! \left(x , y\right)+F_{79}\! \left(x , y\right)
F_{12}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{13}\! \left(x , y\right)
F_{13}\! \left(x , y\right) = F_{11}\! \left(x , y\right) F_{14}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = y x
F_{15}\! \left(x , y\right) = F_{16}\! \left(x , y\right)
F_{16}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{17}\! \left(x , y\right)
F_{17}\! \left(x , y\right) = F_{18}\! \left(x , y\right)+F_{73}\! \left(x , y\right)
F_{18}\! \left(x , y\right) = F_{19}\! \left(x , y\right)+F_{72}\! \left(x , y\right)
F_{19}\! \left(x , y\right) = F_{20}\! \left(x , y\right)+F_{21}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{20}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{19}\! \left(x , y\right)
F_{21}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{22}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{19}\! \left(x , y\right)+F_{23}\! \left(x , y\right)+F_{64}\! \left(x , y\right)
F_{23}\! \left(x , y\right) = F_{24}\! \left(x , y\right)
F_{24}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{25}\! \left(x , y\right) F_{31}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{26}\! \left(x , y\right)+F_{29}\! \left(x , y\right)
F_{26}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{27}\! \left(x , y\right)+F_{28}\! \left(x , y\right)
F_{27}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{26}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{25}\! \left(x , y\right)
F_{29}\! \left(x , y\right) = F_{30}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{25}\! \left(x , y\right) F_{26}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{32}\! \left(x \right)+F_{36}\! \left(x , y\right)+F_{37}\! \left(x , y\right)
F_{32}\! \left(x \right) = F_{0}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{3}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{31}\! \left(x , 1\right)
F_{36}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{31}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{37}\! \left(x , y\right)+F_{38}\! \left(x \right)+F_{42}\! \left(x , y\right)+F_{43}\! \left(x , y\right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{4}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{3}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{22}\! \left(x , 1\right)
F_{42}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{22}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{44}\! \left(x , y\right)
F_{9}\! \left(x , y\right) = F_{44}\! \left(x , y\right)+F_{45}\! \left(x , y\right)+F_{6}\! \left(x \right)+F_{63}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{46}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{47}\! \left(x , y\right)+F_{61}\! \left(x , y\right)+F_{9}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = F_{48}\! \left(x , y\right)
F_{48}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{49}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{49}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{19}\! \left(x , y\right)+F_{50}\! \left(x , y\right)+F_{56}\! \left(x , y\right)+F_{60}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{51}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{53}\! \left(x , y\right)
F_{9}\! \left(x , y\right) = F_{11}\! \left(x , y\right)+F_{53}\! \left(x , y\right)+F_{54}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{3}\! \left(x \right) F_{55}\! \left(x , y\right)
F_{55}\! \left(x , y\right) = -\frac{-F_{9}\! \left(x , y\right) y +F_{9}\! \left(x , 1\right)}{-1+y}
F_{56}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{31}\! \left(x , y\right) F_{57}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{57}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{28}\! \left(x , y\right)+F_{58}\! \left(x , y\right)+F_{59}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{25}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{25}\! \left(x , y\right) F_{31}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = F_{3}\! \left(x \right) F_{62}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = -\frac{-F_{46}\! \left(x , y\right) y +F_{46}\! \left(x , 1\right)}{-1+y}
F_{63}\! \left(x , y\right) = F_{21}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{65}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{3}\! \left(x \right) F_{66}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{66}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{68}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{68}\! \left(x , y\right)+F_{70}\! \left(x \right)+F_{71}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = -\frac{-y F_{11}\! \left(x , y\right)+F_{11}\! \left(x , 1\right)}{-1+y}
F_{70}\! \left(x \right) = F_{11}\! \left(x , 1\right)
F_{71}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{55}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{17}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{74}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{26}\! \left(x , y\right) F_{31}\! \left(x , y\right) F_{75}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = F_{76}\! \left(x , y\right)+F_{77}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = x^{2} F_{76}\! \left(x , y\right)^{2} y^{2}-2 y x F_{76}\! \left(x , y\right)^{2}+x F_{76}\! \left(x , y\right) y +2 F_{76}\! \left(x , y\right)-1
F_{77}\! \left(x , y\right) = F_{78}\! \left(x , y\right)
F_{78}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{26}\! \left(x , y\right) F_{75}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = F_{3}\! \left(x \right) F_{69}\! \left(x , y\right)
F_{80}\! \left(x \right) = F_{3}\! \left(x \right) F_{38}\! \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)*F_4(x))
Eq(F_3(x), x)
Eq(F_4(x), F_1(x) + F_5(x) + F_80(x))
Eq(F_5(x), F_3(x)*F_6(x))
Eq(F_6(x), F_4(x) + F_7(x))
Eq(F_7(x), F_3(x)*F_8(x))
Eq(F_8(x), F_9(x, 1))
Eq(F_10(x, k_0), F_14(x, k_0)*F_9(x, k_0))
Eq(F_11(x, k_0), F_10(x, k_0) + F_4(x) + F_63(x, k_0))
Eq(F_11(x, k_0), F_12(x, k_0) + F_15(x, k_0) + F_79(x, k_0))
Eq(F_12(x, k_0), F_0(x) + F_13(x, k_0))
Eq(F_13(x, k_0), F_11(x, k_0)*F_14(x, k_0))
Eq(F_14(x, k_0), k_0*x)
Eq(F_15(x, k_0), F_16(x, k_0))
Eq(F_16(x, k_0), F_14(x, k_0)*F_17(x, k_0))
Eq(F_17(x, k_0), F_18(x, k_0) + F_73(x, k_0))
Eq(F_18(x, k_0), F_19(x, k_0) + F_72(x, k_0))
Eq(F_19(x, k_0), F_20(x, k_0) + F_21(x, k_0) + F_4(x))
Eq(F_20(x, k_0), F_14(x, k_0)*F_19(x, k_0))
Eq(F_21(x, k_0), F_14(x, k_0)*F_22(x, k_0))
Eq(F_22(x, k_0), F_19(x, k_0) + F_23(x, k_0) + F_64(x, k_0))
Eq(F_23(x, k_0), F_24(x, k_0))
Eq(F_24(x, k_0), F_14(x, k_0)*F_25(x, k_0)*F_31(x, k_0))
Eq(F_25(x, k_0), F_26(x, k_0) + F_29(x, k_0))
Eq(F_26(x, k_0), F_1(x) + F_27(x, k_0) + F_28(x, k_0))
Eq(F_27(x, k_0), F_14(x, k_0)*F_26(x, k_0))
Eq(F_28(x, k_0), F_14(x, k_0)*F_25(x, k_0))
Eq(F_29(x, k_0), F_30(x, k_0))
Eq(F_30(x, k_0), F_14(x, k_0)*F_25(x, k_0)*F_26(x, k_0))
Eq(F_31(x, k_0), F_32(x) + F_36(x, k_0) + F_37(x, k_0))
Eq(F_32(x), F_0(x) + F_33(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_3(x)*F_35(x))
Eq(F_35(x), F_31(x, 1))
Eq(F_36(x, k_0), F_14(x, k_0)*F_31(x, k_0))
Eq(F_22(x, k_0), F_37(x, k_0) + F_38(x) + F_42(x, k_0) + F_43(x, k_0))
Eq(F_38(x), F_39(x) + F_4(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_3(x)*F_41(x))
Eq(F_41(x), F_22(x, 1))
Eq(F_42(x, k_0), F_14(x, k_0)*F_22(x, k_0))
Eq(F_43(x, k_0), F_44(x, k_0))
Eq(F_9(x, k_0), F_44(x, k_0) + F_45(x, k_0) + F_6(x) + F_63(x, k_0))
Eq(F_45(x, k_0), F_14(x, k_0)*F_46(x, k_0))
Eq(F_46(x, k_0), F_47(x, k_0) + F_61(x, k_0) + F_9(x, k_0))
Eq(F_47(x, k_0), F_48(x, k_0))
Eq(F_48(x, k_0), F_14(x, k_0)*F_49(x, k_0))
Eq(F_50(x, k_0), F_14(x, k_0)*F_49(x, k_0))
Eq(F_51(x, k_0), F_19(x, k_0) + F_50(x, k_0) + F_56(x, k_0) + F_60(x, k_0))
Eq(F_52(x, k_0), F_14(x, k_0)*F_51(x, k_0))
Eq(F_52(x, k_0), F_53(x, k_0))
Eq(F_9(x, k_0), F_11(x, k_0) + F_53(x, k_0) + F_54(x, k_0))
Eq(F_54(x, k_0), F_3(x)*F_55(x, k_0))
Eq(F_55(x, k_0), (-k_0*F_9(x, k_0) + F_9(x, 1))/(1 - k_0))
Eq(F_56(x, k_0), F_14(x, k_0)*F_31(x, k_0)*F_57(x, k_0))
Eq(F_58(x, k_0), F_14(x, k_0)*F_57(x, k_0))
Eq(F_25(x, k_0), F_1(x) + F_28(x, k_0) + F_58(x, k_0) + F_59(x, k_0))
Eq(F_59(x, k_0), F_14(x, k_0)*F_25(x, k_0))
Eq(F_60(x, k_0), F_14(x, k_0)*F_25(x, k_0)*F_31(x, k_0))
Eq(F_61(x, k_0), F_3(x)*F_62(x, k_0))
Eq(F_62(x, k_0), (-k_0*F_46(x, k_0) + F_46(x, 1))/(1 - k_0))
Eq(F_63(x, k_0), F_21(x, k_0))
Eq(F_64(x, k_0), F_65(x, k_0))
Eq(F_65(x, k_0), F_3(x)*F_66(x, k_0))
Eq(F_67(x, k_0), F_14(x, k_0)*F_66(x, k_0))
Eq(F_67(x, k_0), F_68(x, k_0))
Eq(F_69(x, k_0), F_68(x, k_0) + F_70(x) + F_71(x, k_0))
Eq(F_69(x, k_0), (-k_0*F_11(x, k_0) + F_11(x, 1))/(1 - k_0))
Eq(F_70(x), F_11(x, 1))
Eq(F_71(x, k_0), F_14(x, k_0)*F_55(x, k_0))
Eq(F_72(x, k_0), F_14(x, k_0)*F_17(x, k_0))
Eq(F_73(x, k_0), F_74(x, k_0))
Eq(F_74(x, k_0), F_14(x, k_0)*F_26(x, k_0)*F_31(x, k_0)*F_75(x, k_0))
Eq(F_75(x, k_0), F_76(x, k_0) + F_77(x, k_0))
Eq(F_76(x, k_0), k_0*x*(k_0*x - 2)*F_76(x, k_0)**2 + (k_0*x + 2)*F_76(x, k_0) - 1)
Eq(F_77(x, k_0), F_78(x, k_0))
Eq(F_78(x, k_0), F_14(x, k_0)*F_26(x, k_0)*F_75(x, k_0))
Eq(F_79(x, k_0), F_3(x)*F_69(x, k_0))
Eq(F_80(x), F_3(x)*F_38(x))
Pack JSON:
{"name": "row_and_col_placements_tracked_fusion_tracked_component_fusion_req_corrob_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.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": 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_placement", "strategy_class": "RowAndColumnPlacementFactory", "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, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1, 4], "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, 3, 0, 1, 4], "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, 2, 1], "pos": [[0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [1, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [1, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [0, 0], [0, 0]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [0, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [1, 1], [1, 0], [1, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 1], [1, 0], [1, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 1], [1, 1], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 1], [1, 1], [1, 0]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 2, 0, 3], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [1, 0], [1, 0], [1, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[1, 1], [1, 0], [1, 0], [1, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [1, 0], [1, 1], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[1, 1], [1, 0], [1, 1], [1, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 1]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 1]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 1]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 1]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [2, 3, 0, 1, 4], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 0, 1, 4], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 1]]}, {"patt": [2, 3, 0, 1, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 0, 1, 4], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 1]]}, {"patt": [2, 3, 0, 1, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 0, 1, 4], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 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