02314_02341_03214_03241_03421
Counting sequence:
1, 1, 2, 6, 24, 115, 614, 3510, 21011, 129960, 823630, 5318320, 34853269, 231165135, 1548495034, 10459759414, 71158520439, 487085752399, 3352119179666, 23178924936643, 160952954428161, 1121878102982758, 7846430154118190, 55047871443469230, 387286437743447010, 2731771733817844675, 19314650384095156819, 136861215795571577716, 971750783126323634668, 6912703757548265864430, 49261053808617536178642, 351618718607194192888410, 2513665840771436302207915, 17995725672265875768964071, 129009049959135116723093350, 926031991318906456685192659, 6655117227177191751328764283, 47882940322438243071537152043, 344885597576228013017215539901, 2486647715186923613747831811764, 17946347356850603731200478290285, 129640224706009137588606663704310, 937316296067201477571618237064083, 6782618404578823039010599959077942, 49119822154001198707736486314994873, 355999057942848465066565903097722904, 2582016809858944333990252068221726751, 18740184266914159723100688207880816312, 136107010642944618355944691218363443775, 989161113533582167776991426135508906299, 7193201832035674744023133164067562594013, 52340222341431006253072440792807768741733, 381063217160316922500846285269946266013560, 2775858053295070328397393959194122014550531, 20231466659564348623370069417763139681139949, 147529539059468223091438203277458469223018740, 1076326846964979011882966577945088467643673333, 7856252150059761233518110900404697804771630092, 57370096559757711828492099485079345448229731197, 419129191700054578903864494257247359780838210708, 3063345456971639038369743944899773616887305764243, 22398744141573314037712682427000320675847808756734, 163841976107047783121608486268915958192406543364038, 1198933141887721059316237599805459356024373693948345, 8776629347425702826524967512865963712167061766502412, 64271512836222544804996152618109622924080391509249807, 470828190023333559338176104204777468945354393795368449, 3450285046307939881521402446690604960187728969467932726, 25292496201665082311278744124162796859935334019353859212, 185467755848746885739398037511803536976197838057074446582, 1360445453952622074175985314826683620734971415163527344162, 9982193874056136319114943304451353506250535199037909582357, 73265469104963132157984078076089621821905261466293696936287, 537895121513221760339769862994727742184181244485282227033446, 3950184907735071651851404240456022359597887099593991290434736, 29017202661812197138214491209633849830049962526263400834914675, 213210621038286441098427355508127022481667408454378012921989372, 1567019140163381281761712618627917797211290142289034974279440961, 11519909189098407484117046414306045740811539890895067987132242171, 84709149838479268843595073793858373653573766666274026997279670440, 623039286602622967078761109913282766972638778122544540389743413574, 4583548299479499347354589848366021825428303655292500516165027333239, 33727720030010211185050021211641343702030626639342532036497300442929, 248238169974894750377550087406983997294875752551031655090355714247633, 1827444684804460708077909095586027917247516611729107918443989686461951, 13455870562351378990262467819394973526413387046612053590150056735688001, 99098960710883783944080787622184148484405470225106858492826713060854163, 729985222023686841222694436598060346402460444677317527905027470673432471, 5378296088524587309980953318247020929375226506483674209498313571048637642, 39633195255950858249428338687720817744762149227905163484920763008115856354, 292115996516294332517804982768941832885198269873292367444153488334636417458, 2153434478050998458652357945147656924689517681360876045778142143942324071504, 15877653051933091531129706145288704279568272263941771025607394666957465231598, 117089401929957541324173387895170821173763100746966488060914984995415786433533, 863622337438751259356123933734574969591400964146149525221712313192208743944066, 6370940682450243482777158760916142848959282144002550233947827842859208211982713, 47006199374022203806654614018197993334567023605020637026781198649089849423413460, 346878282947771397574318338801339833592642120351340211415578911175628843379749827, 2560165485256845067722758433887782320598683541843242428417487923335168950887399128, 18898464719391299317449015021709203876567976350404432103324880468060788350458661922, 139524737306263125642422603583378310987937247923906640287441771863254914381656156337
Specification 1
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/24731/
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[37,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x,1]
F[6,x,k[0]] = F[7,x,k[0]]+F[8,x,k[0]]
F[7,x,k[0]] = x*(1+F[7,x,k[0]])*k[0]+F[7,x,k[0]]^2
F[8,x,k[0]] = F[9,x,k[0]]
F[9,x,k[0]] = F[10,x,k[0]]*F[37,x]
F[10,x,k[0]] = F[11,x,k[0]]+F[12,x,k[0]]
F[11,x,k[0]] = -k[0]*(F[6,x,1]-F[6,x,k[0]])/(-1+k[0])
F[12,x,k[0]] = F[13,x,k[0]]
F[13,x,k[0]] = F[14,x,k[0]]*F[24,x,k[0]]
F[14,x,k[0]] = F[15,x,k[0],1]
F[15,x,k[0],k[1]] = F[16,x,k[0],k[0]*k[1]]
F[16,x,k[0],k[1]] = F[17,x,k[0],k[1]]+F[81,x,k[0],k[1]]
F[17,x,k[0],k[1]] = F[18,x,k[0]]*F[19,x,k[0],k[1]]
F[18,x,k[0]] = x*F[18,x,k[0]]*k[0]+F[18,x,k[0]]^2-2*F[18,x,k[0]]+2
F[19,x,k[0],k[1]] = (F[20,x,k[0],k[1]]*k[1]-F[20,x,k[0],1])/(-1+k[1])
F[20,x,k[0],k[1]] = F[21,x,k[0],k[1]]+F[75,x,k[0],k[1]]
F[21,x,k[0],k[1]] = F[18,x,k[1]]+F[22,x,k[0],k[1]]
F[22,x,k[0],k[1]] = F[23,x,k[0],k[1]]
F[23,x,k[0],k[1]] = F[24,x,k[0]]*F[25,x,k[0],k[1]]
F[24,x,k[0]] = k[0]*x
F[26,x,k[0],k[1]] = F[25,x,k[0],k[1]]*F[56,x]
F[27,x,k[0],k[1]] = F[26,x,k[0]*k[1],k[1]]
F[27,x,k[0],k[1]] = F[28,x,k[0],k[1]]*F[56,x]
F[28,x,k[0],k[1]] = F[29,k[1]*x,k[0]]
F[29,x,k[0]] = F[30,x,k[0]]+F[41,x,k[0]]
F[30,x,k[0]] = F[31,x,k[0]]*F[38,x]
F[31,x,k[0]] = F[32,k[0]*x]
F[32,x] = F[33,x]+F[34,x]
F[33,x] = 2+F[33,x]^2+(-2+x)*F[33,x]
F[34,x] = F[35,x]
F[35,x] = F[36,x]*F[37,x]
F[36,x] = F[29,x,1]
F[37,x] = x
F[38,x] = F[1,x]+F[39,x]
F[39,x] = F[40,x]
F[40,x] = F[37,x]*F[38,x]
F[41,x,k[0]] = F[42,x,k[0]]
F[42,x,k[0]] = F[31,x,k[0]]*F[37,x]*F[43,x,k[0]]
F[44,x,k[0]] = F[18,x,k[0]]*F[37,x]*F[43,x,k[0]]
F[44,x,k[0]] = F[45,x,k[0]]
F[45,x,k[0]] = F[46,x,k[0]]+F[48,x,k[0]]
F[46,x,k[0]] = F[47,x,k[0],1]
F[21,x,k[0],k[1]] = F[18,x,k[0]]+F[47,x,k[0],k[1]]
F[48,x,k[0]] = F[49,x,k[0]]
F[49,x,k[0]] = F[37,x]*F[50,x,k[0]]
F[50,x,k[0]] = F[51,x,k[0]]+F[52,x,k[0]]
F[51,x,k[0]] = F[38,x]*F[46,x,k[0]]
F[52,x,k[0]] = F[53,x,k[0]]
F[53,x,k[0]] = F[37,x]*F[54,x,k[0]]*F[55,x]
F[54,x,k[0]] = F[18,x,k[0]]+F[46,x,k[0]]
F[55,x] = F[43,x,1]
F[56,x] = F[57,x]+F[74,x]
F[57,x] = F[1,x]+F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[37,x]*F[60,x]
F[60,x] = F[57,x]+F[61,x]
F[61,x] = F[58,x]+F[62,x]
F[62,x] = F[63,x]+F[64,x]+F[67,x]
F[63,x] = 0
F[64,x] = F[37,x]*F[65,x]
F[65,x] = F[66,x]
F[66,x] = F[58,x]+F[62,x]
F[67,x] = F[37,x]*F[68,x]
F[68,x] = F[69,x]+F[70,x]
F[69,x] = F[39,x]
F[70,x] = F[71,x]
F[71,x] = F[63,x]+F[67,x]+F[72,x]
F[72,x] = F[37,x]*F[73,x]
F[73,x] = F[58,x]+F[71,x]
F[74,x] = F[39,x]+F[71,x]
F[75,x,k[0],k[1]] = F[76,x,k[0],k[1]]
F[76,x,k[0],k[1]] = F[37,x]*F[77,x,k[0],k[1]]
F[77,x,k[0],k[1]] = F[78,x,k[0],k[1]]+F[81,x,k[0],k[1]]
F[78,x,k[0],k[1]] = F[18,x,k[0]]*F[79,x,k[1]]
F[79,x,k[0]] = (F[80,x,k[0]]*k[0]-F[80,x,1])/(-1+k[0])
F[80,x,k[0]] = F[0,x]+F[6,x,k[0]]
F[81,x,k[0],k[1]] = F[82,x,k[0],k[1]]
F[82,x,k[0],k[1]] = F[24,x,k[1]]*F[83,x,k[0],k[1]]*F[85,x,k[1]]
F[84,x,k[0],k[1]] = F[24,x,k[1]]*F[83,x,k[0],k[1]]
F[84,x,k[0],k[1]] = F[47,x,k[0],k[1]]
F[85,x,k[0]] = F[86,x,k[0],1]
F[86,x,k[0],k[1]] = (F[87,x,k[0],k[1]]*k[0]*k[1]-F[87,x,k[0],1/k[0]])/(k[0]*k[1]-1)
F[87,x,k[0],k[1]] = F[20,x,k[0],k[0]*k[1]]
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_{37}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x , 1\right)
F_{6}\! \left(x , y\right) = F_{7}\! \left(x , y\right)+F_{8}\! \left(x , y\right)
F_{7}\! \left(x , y\right) = x F_{7}\! \left(x , y\right) y +y x +F_{7}\! \left(x , y\right)^{2}
F_{8}\! \left(x , y\right) = F_{9}\! \left(x , y\right)
F_{9}\! \left(x , y\right) = F_{10}\! \left(x , y\right) F_{37}\! \left(x \right)
F_{10}\! \left(x , y\right) = F_{11}\! \left(x , y\right)+F_{12}\! \left(x , y\right)
F_{11}\! \left(x , y\right) = -\frac{y \left(F_{6}\! \left(x , 1\right)-F_{6}\! \left(x , y\right)\right)}{-1+y}
F_{12}\! \left(x , y\right) = F_{13}\! \left(x , y\right)
F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{24}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = F_{15}\! \left(x , y , 1\right)
F_{15}\! \left(x , y , z\right) = F_{16}\! \left(x , y , y z \right)
F_{16}\! \left(x , y , z\right) = F_{17}\! \left(x , y , z\right)+F_{81}\! \left(x , y , z\right)
F_{17}\! \left(x , y , z\right) = F_{18}\! \left(x , y\right) F_{19}\! \left(x , y , z\right)
F_{18}\! \left(x , y\right) = x F_{18}\! \left(x , y\right) y +F_{18}\! \left(x , y\right)^{2}-2 F_{18}\! \left(x , y\right)+2
F_{19}\! \left(x , y , z\right) = -\frac{-F_{20}\! \left(x , y , z\right) z +F_{20}\! \left(x , y , 1\right)}{-1+z}
F_{20}\! \left(x , y , z\right) = F_{21}\! \left(x , y , z\right)+F_{75}\! \left(x , y , z\right)
F_{21}\! \left(x , y , z\right) = F_{18}\! \left(x , z\right)+F_{22}\! \left(x , y , z\right)
F_{22}\! \left(x , y , z\right) = F_{23}\! \left(x , y , z\right)
F_{23}\! \left(x , y , z\right) = F_{24}\! \left(x , y\right) F_{25}\! \left(x , y , z\right)
F_{24}\! \left(x , y\right) = y x
F_{26}\! \left(x , y , z\right) = F_{25}\! \left(x , y , z\right) F_{56}\! \left(x \right)
F_{27}\! \left(x , y , z\right) = F_{26}\! \left(x , y z , z\right)
F_{27}\! \left(x , y , z\right) = F_{28}\! \left(x , y , z\right) F_{56}\! \left(x \right)
F_{28}\! \left(x , y , z\right) = F_{29}\! \left(z x , y\right)
F_{29}\! \left(x , y\right) = F_{30}\! \left(x , y\right)+F_{41}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{31}\! \left(x , y\right) F_{38}\! \left(x \right)
F_{31}\! \left(x , y\right) = F_{32}\! \left(y x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{34}\! \left(x \right)
F_{33}\! \left(x \right) = F_{33}\! \left(x \right) x +F_{33} \left(x \right)^{2}-2 F_{33}\! \left(x \right)+2
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right) F_{37}\! \left(x \right)
F_{36}\! \left(x \right) = F_{29}\! \left(x , 1\right)
F_{37}\! \left(x \right) = x
F_{38}\! \left(x \right) = F_{1}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{37}\! \left(x \right) F_{38}\! \left(x \right)
F_{41}\! \left(x , y\right) = F_{42}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{31}\! \left(x , y\right) F_{37}\! \left(x \right) F_{43}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{18}\! \left(x , y\right) F_{37}\! \left(x \right) F_{43}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{45}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{46}\! \left(x , y\right)+F_{48}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{47}\! \left(x , y , 1\right)
F_{21}\! \left(x , y , z\right) = F_{18}\! \left(x , y\right)+F_{47}\! \left(x , y , z\right)
F_{48}\! \left(x , y\right) = F_{49}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{37}\! \left(x \right) F_{50}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{51}\! \left(x , y\right)+F_{52}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{38}\! \left(x \right) F_{46}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{53}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{37}\! \left(x \right) F_{54}\! \left(x , y\right) F_{55}\! \left(x \right)
F_{54}\! \left(x , y\right) = F_{18}\! \left(x , y\right)+F_{46}\! \left(x , y\right)
F_{55}\! \left(x \right) = F_{43}\! \left(x , 1\right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)+F_{74}\! \left(x \right)
F_{57}\! \left(x \right) = F_{1}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{37}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{57}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{58}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{64}\! \left(x \right)+F_{67}\! \left(x \right)
F_{63}\! \left(x \right) = 0
F_{64}\! \left(x \right) = F_{37}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{58}\! \left(x \right)+F_{62}\! \left(x \right)
F_{67}\! \left(x \right) = F_{37}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{70}\! \left(x \right)
F_{69}\! \left(x \right) = F_{39}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{63}\! \left(x \right)+F_{67}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{37}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{58}\! \left(x \right)+F_{71}\! \left(x \right)
F_{74}\! \left(x \right) = F_{39}\! \left(x \right)+F_{71}\! \left(x \right)
F_{75}\! \left(x , y , z\right) = F_{76}\! \left(x , y , z\right)
F_{76}\! \left(x , y , z\right) = F_{37}\! \left(x \right) F_{77}\! \left(x , y , z\right)
F_{77}\! \left(x , y , z\right) = F_{78}\! \left(x , y , z\right)+F_{81}\! \left(x , y , z\right)
F_{78}\! \left(x , y , z\right) = F_{18}\! \left(x , y\right) F_{79}\! \left(x , z\right)
F_{79}\! \left(x , y\right) = -\frac{-F_{80}\! \left(x , y\right) y +F_{80}\! \left(x , 1\right)}{-1+y}
F_{80}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{6}\! \left(x , y\right)
F_{81}\! \left(x , y , z\right) = F_{82}\! \left(x , y , z\right)
F_{82}\! \left(x , y , z\right) = F_{24}\! \left(x , z\right) F_{83}\! \left(x , y , z\right) F_{85}\! \left(x , z\right)
F_{84}\! \left(x , y , z\right) = F_{24}\! \left(x , z\right) F_{83}\! \left(x , y , z\right)
F_{84}\! \left(x , y , z\right) = F_{47}\! \left(x , y , z\right)
F_{85}\! \left(x , y\right) = F_{86}\! \left(x , y , 1\right)
F_{86}\! \left(x , y , z\right) = \frac{y z F_{87}\! \left(x , y , z\right)-F_{87}\! \left(x , y , \frac{1}{y}\right)}{y z -1}
F_{87}\! \left(x , y , z\right) = F_{20}\! \left(x , y , y z \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_37(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x, 1))
Eq(F_6(x, k_0), F_7(x, k_0) + F_8(x, k_0))
Eq(F_7(x, k_0), (k_0*x - 3)*(F_7(x, k_0) + 1) + (F_7(x, k_0) + 1)**2 + F_7(x, k_0) + 2)
Eq(F_8(x, k_0), F_9(x, k_0))
Eq(F_9(x, k_0), F_10(x, k_0)*F_37(x))
Eq(F_10(x, k_0), F_11(x, k_0) + F_12(x, k_0))
Eq(F_11(x, k_0), -F_6(x, 1) + (-k_0*F_6(x, k_0) + F_6(x, 1))/(1 - k_0))
Eq(F_12(x, k_0), F_13(x, k_0))
Eq(F_13(x, k_0), F_14(x, k_0)*F_24(x, k_0))
Eq(F_14(x, k_0), F_15(x, k_0, 1))
Eq(F_15(x, k_0, k_1), F_16(x, k_0, k_0*k_1))
Eq(F_16(x, k_0, k_1), F_17(x, k_0, k_1) + F_81(x, k_0, k_1))
Eq(F_17(x, k_0, k_1), F_18(x, k_0)*F_19(x, k_0, k_1))
Eq(F_18(x, k_0), (k_0*x - 2)*F_18(x, k_0) + F_18(x, k_0)**2 + 2)
Eq(F_19(x, k_0, k_1), (-k_1*F_20(x, k_0, k_1) + F_20(x, k_0, 1))/(1 - k_1))
Eq(F_20(x, k_0, k_1), F_21(x, k_0, k_1) + F_75(x, k_0, k_1))
Eq(F_21(x, k_0, k_1), F_18(x, k_1) + F_22(x, k_0, k_1))
Eq(F_22(x, k_0, k_1), F_23(x, k_0, k_1))
Eq(F_23(x, k_0, k_1), F_24(x, k_0)*F_25(x, k_0, k_1))
Eq(F_24(x, k_0), k_0*x)
Eq(F_26(x, k_0, k_1), F_25(x, k_0, k_1)*F_56(x))
Eq(F_27(x, k_0, k_1), F_26(x, k_0*k_1, k_1))
Eq(F_27(x, k_0, k_1), F_28(x, k_0, k_1)*F_56(x))
Eq(F_28(x, k_0, k_1), F_29(k_1*x, k_0))
Eq(F_29(x, k_0), F_30(x, k_0) + F_41(x, k_0))
Eq(F_30(x, k_0), F_31(x, k_0)*F_38(x))
Eq(F_31(x, k_0), F_32(k_0*x))
Eq(F_32(x), F_33(x) + F_34(x))
Eq(F_33(x), (x - 2)*F_33(x) + F_33(x)**2 + 2)
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_36(x)*F_37(x))
Eq(F_36(x), F_29(x, 1))
Eq(F_37(x), x)
Eq(F_38(x), F_1(x) + F_39(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_37(x)*F_38(x))
Eq(F_41(x, k_0), F_42(x, k_0))
Eq(F_42(x, k_0), F_31(x, k_0)*F_37(x)*F_43(x, k_0))
Eq(F_44(x, k_0), F_18(x, k_0)*F_37(x)*F_43(x, k_0))
Eq(F_44(x, k_0), F_45(x, k_0))
Eq(F_45(x, k_0), F_46(x, k_0) + F_48(x, k_0))
Eq(F_46(x, k_0), F_47(x, k_0, 1))
Eq(F_21(x, k_0, k_1), F_18(x, k_0) + F_47(x, k_0, k_1))
Eq(F_48(x, k_0), F_49(x, k_0))
Eq(F_49(x, k_0), F_37(x)*F_50(x, k_0))
Eq(F_50(x, k_0), F_51(x, k_0) + F_52(x, k_0))
Eq(F_51(x, k_0), F_38(x)*F_46(x, k_0))
Eq(F_52(x, k_0), F_53(x, k_0))
Eq(F_53(x, k_0), F_37(x)*F_54(x, k_0)*F_55(x))
Eq(F_54(x, k_0), F_18(x, k_0) + F_46(x, k_0))
Eq(F_55(x), F_43(x, 1))
Eq(F_56(x), F_57(x) + F_74(x))
Eq(F_57(x), F_1(x) + F_58(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_37(x)*F_60(x))
Eq(F_60(x), F_57(x) + F_61(x))
Eq(F_61(x), F_58(x) + F_62(x))
Eq(F_62(x), F_63(x) + F_64(x) + F_67(x))
Eq(F_63(x), 0)
Eq(F_64(x), F_37(x)*F_65(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_58(x) + F_62(x))
Eq(F_67(x), F_37(x)*F_68(x))
Eq(F_68(x), F_69(x) + F_70(x))
Eq(F_69(x), F_39(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_63(x) + F_67(x) + F_72(x))
Eq(F_72(x), F_37(x)*F_73(x))
Eq(F_73(x), F_58(x) + F_71(x))
Eq(F_74(x), F_39(x) + F_71(x))
Eq(F_75(x, k_0, k_1), F_76(x, k_0, k_1))
Eq(F_76(x, k_0, k_1), F_37(x)*F_77(x, k_0, k_1))
Eq(F_77(x, k_0, k_1), F_78(x, k_0, k_1) + F_81(x, k_0, k_1))
Eq(F_78(x, k_0, k_1), F_18(x, k_0)*F_79(x, k_1))
Eq(F_79(x, k_0), (-k_0*F_80(x, k_0) + F_80(x, 1))/(1 - k_0))
Eq(F_80(x, k_0), F_0(x) + F_6(x, k_0))
Eq(F_81(x, k_0, k_1), F_82(x, k_0, k_1))
Eq(F_82(x, k_0, k_1), F_24(x, k_1)*F_83(x, k_0, k_1)*F_85(x, k_1))
Eq(F_84(x, k_0, k_1), F_24(x, k_1)*F_83(x, k_0, k_1))
Eq(F_84(x, k_0, k_1), F_47(x, k_0, k_1))
Eq(F_85(x, k_0), F_86(x, k_0, 1))
Eq(F_86(x, k_0, k_1), (-k_0*k_1*F_87(x, k_0, k_1) + F_87(x, k_0, 1/k_0))/(-k_0*k_1 + 1))
Eq(F_87(x, k_0, k_1), F_20(x, k_0, k_0*k_1))
Pack JSON:
{"name": "point_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": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1]], "symmetry": true}, {"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}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1]]}], "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": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 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": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 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, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 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, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}]}]}], "strategy": {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionsStrategy", "workable": false, "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 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, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[1, 0]]}]}}, "idx": 1}, {"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, 0]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[3, 0]]}, {"patt": [0], "pos": [[3, 2]]}, {"patt": [0, 1], "pos": [[1, 0], [2, 2]]}, {"patt": [0, 1], "pos": [[3, 1], [3, 1]]}, {"patt": [1, 0], "pos": [[3, 1], [3, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 0], [2, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 2], [0, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 0], [2, 0], [2, 2], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 0], [2, 2], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}], "requirements": [[{"patt": [0], "pos": [[3, 1]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0], "pos": [[3, 1]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [2, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 0], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 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"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": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1]], "symmetry": true}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1]], "symmetry": true}}, {"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": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1]], "symmetry": true}}, {"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"}}, {"class_module": "tilings.strategies.fusion.fusion", "rule_class": "FusionRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [2, 0], [3, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [2, 0], [2, 0], [3, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [2, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [2, 0], [2, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [2, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 0], [2, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[2, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[2, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 1, "tracked": true}}]}
Specification 2
Strategy pack name: point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/25097/
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[47,x]
F[4,x] = F[5,x,1]
F[5,x,k[0]] = F[0,x]+F[6,x,k[0]]
F[6,x,k[0]] = F[58,x,k[0]]+F[7,x]+F[8,x,k[0]]
F[7,x] = 0
F[8,x,k[0]] = F[34,x,k[0]]*F[9,x,k[0]]
F[9,x,k[0]] = F[10,x,k[0],1]
F[10,x,k[0],k[1]] = F[11,x,k[0],k[1]]+F[57,x,k[0],k[1]]
F[11,x,k[0],k[1]] = F[12,k[0]*x,k[1]]
F[12,x,k[0]] = F[1,x]+F[13,x,k[0]]+F[55,x,k[0]]
F[13,x,k[0]] = F[14,x,k[0]]*F[47,x]
F[14,x,k[0]] = F[15,x,1,k[0]]
F[15,x,k[0],k[1]] = F[12,x,k[0]]+F[16,x,k[0],k[1]]
F[16,x,k[0],k[1]] = F[17,x,k[0],k[1]]
F[17,x,k[0],k[1]] = F[12,x,k[0]]*F[18,x,k[0],k[1]]*F[34,x,k[1]]
F[18,x,k[0],k[1]] = F[19,x,k[0],k[0]*k[1]]
F[20,x,k[0],k[1]] = F[19,x,k[0],k[1]]*F[34,x,k[1]]
F[21,x,k[0],k[1]] = F[1,x]+F[20,x,k[0],k[1]]+F[53,x,k[0],k[1]]
F[22,x,k[0],k[1]] = F[21,x,k[0],k[1]]+F[23,x,k[0],k[1]]
F[10,x,k[0],k[1]] = F[22,x,k[0],k[0]*k[1]]
F[23,x,k[0],k[1]] = F[24,x,k[0]]+F[48,x,k[0],k[1]]
F[24,x,k[0]] = F[25,x,k[0]]
F[25,x,k[0]] = F[26,x,k[0]]*F[27,x,k[0]]*F[47,x]
F[26,x,k[0]] = x*F[26,x,k[0]]*k[0]+F[26,x,k[0]]^2-2*F[26,x,k[0]]+2
F[27,x,k[0]] = F[28,x,k[0],1]
F[28,x,k[0],k[1]] = F[29,x,k[0]]+F[31,x,k[0],k[1]]
F[29,x,k[0]] = F[30,x,k[0]]
F[30,x,k[0]] = F[0,x]*F[26,x,k[0]]
F[31,x,k[0],k[1]] = F[32,x,k[0],k[1]]+F[35,x,k[0],k[1]]
F[32,x,k[0],k[1]] = F[33,x,k[0],k[1]]
F[33,x,k[0],k[1]] = F[19,x,k[0],k[1]]*F[26,x,k[0]]*F[34,x,k[1]]
F[34,x,k[0]] = k[0]*x
F[35,x,k[0],k[1]] = F[36,x,k[0],k[1]]
F[36,x,k[0],k[1]] = F[37,x,k[0],k[1]]*F[47,x]
F[37,x,k[0],k[1]] = F[38,x,k[0],k[1]]+F[40,x,k[0],k[1]]
F[38,x,k[0],k[1]] = F[26,x,k[0]]*F[39,x,k[1]]
F[39,x,k[0]] = -k[0]*(F[6,x,1]-F[6,x,k[0]])/(-1+k[0])
F[40,x,k[0],k[1]] = F[41,x,k[0],k[1]]
F[41,x,k[0],k[1]] = F[34,x,k[1]]*F[42,x,k[0],k[1]]*F[44,x,k[1]]
F[43,x,k[0],k[1]] = F[34,x,k[1]]*F[42,x,k[0],k[1]]
F[43,x,k[0],k[1]] = F[32,x,k[0],k[1]]
F[44,x,k[0]] = F[45,x,k[0],1]
F[45,x,k[0],k[1]] = F[46,x,k[0],k[0]*k[1]]
F[46,x,k[0],k[1]] = (F[28,x,k[0],k[1]]*k[1]-F[28,x,k[0],1])/(-1+k[1])
F[47,x] = x
F[48,x,k[0],k[1]] = F[49,x,k[0],k[1]]
F[49,x,k[0],k[1]] = F[47,x]*F[50,x,k[0],k[1]]
F[50,x,k[0],k[1]] = F[40,x,k[0],k[1]]+F[51,x,k[0],k[1]]
F[51,x,k[0],k[1]] = F[26,x,k[0]]*F[52,x,k[0],k[1]]
F[52,x,k[0],k[1]] = -k[1]*(F[31,x,k[0],1]-F[31,x,k[0],k[1]])/(-1+k[1])
F[54,x,k[0],k[1]] = F[53,x,k[0],k[0]*k[1]]
F[54,x,k[0],k[1]] = F[13,k[0]*x,k[1]]
F[55,x,k[0]] = F[34,x,k[0]]*F[56,x,k[0]]
F[56,x,k[0]] = F[15,x,k[0],1]
F[57,x,k[0],k[1]] = F[23,x,k[0],k[0]*k[1]]
F[58,x,k[0]] = F[39,x,k[0]]*F[47,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_{47}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x , 1\right)
F_{5}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{6}\! \left(x , y\right)
F_{6}\! \left(x , y\right) = F_{58}\! \left(x , y\right)+F_{7}\! \left(x \right)+F_{8}\! \left(x , y\right)
F_{7}\! \left(x \right) = 0
F_{8}\! \left(x , y\right) = F_{34}\! \left(x , y\right) F_{9}\! \left(x , y\right)
F_{9}\! \left(x , y\right) = F_{10}\! \left(x , y , 1\right)
F_{10}\! \left(x , y , z\right) = F_{11}\! \left(x , y , z\right)+F_{57}\! \left(x , y , z\right)
F_{11}\! \left(x , y , z\right) = F_{12}\! \left(y x , z\right)
F_{12}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{13}\! \left(x , y\right)+F_{55}\! \left(x , y\right)
F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{47}\! \left(x \right)
F_{14}\! \left(x , y\right) = F_{15}\! \left(x , 1, y\right)
F_{15}\! \left(x , y , z\right) = F_{12}\! \left(x , y\right)+F_{16}\! \left(x , y , z\right)
F_{16}\! \left(x , y , z\right) = F_{17}\! \left(x , y , z\right)
F_{17}\! \left(x , y , z\right) = F_{12}\! \left(x , y\right) F_{18}\! \left(x , y , z\right) F_{34}\! \left(x , z\right)
F_{18}\! \left(x , y , z\right) = F_{19}\! \left(x , y , y z \right)
F_{20}\! \left(x , y , z\right) = F_{19}\! \left(x , y , z\right) F_{34}\! \left(x , z\right)
F_{21}\! \left(x , y , z\right) = F_{1}\! \left(x \right)+F_{20}\! \left(x , y , z\right)+F_{53}\! \left(x , y , z\right)
F_{22}\! \left(x , y , z\right) = F_{21}\! \left(x , y , z\right)+F_{23}\! \left(x , y , z\right)
F_{10}\! \left(x , y , z\right) = F_{22}\! \left(x , y , y z \right)
F_{23}\! \left(x , y , z\right) = F_{24}\! \left(x , y\right)+F_{48}\! \left(x , y , z\right)
F_{24}\! \left(x , y\right) = F_{25}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{26}\! \left(x , y\right) F_{27}\! \left(x , y\right) F_{47}\! \left(x \right)
F_{26}\! \left(x , y\right) = x F_{26}\! \left(x , y\right) y +F_{26}\! \left(x , y\right)^{2}-2 F_{26}\! \left(x , y\right)+2
F_{27}\! \left(x , y\right) = F_{28}\! \left(x , y , 1\right)
F_{28}\! \left(x , y , z\right) = F_{29}\! \left(x , y\right)+F_{31}\! \left(x , y , z\right)
F_{29}\! \left(x , y\right) = F_{30}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{0}\! \left(x \right) F_{26}\! \left(x , y\right)
F_{31}\! \left(x , y , z\right) = F_{32}\! \left(x , y , z\right)+F_{35}\! \left(x , y , z\right)
F_{32}\! \left(x , y , z\right) = F_{33}\! \left(x , y , z\right)
F_{33}\! \left(x , y , z\right) = F_{19}\! \left(x , y , z\right) F_{26}\! \left(x , y\right) F_{34}\! \left(x , z\right)
F_{34}\! \left(x , y\right) = y x
F_{35}\! \left(x , y , z\right) = F_{36}\! \left(x , y , z\right)
F_{36}\! \left(x , y , z\right) = F_{37}\! \left(x , y , z\right) F_{47}\! \left(x \right)
F_{37}\! \left(x , y , z\right) = F_{38}\! \left(x , y , z\right)+F_{40}\! \left(x , y , z\right)
F_{38}\! \left(x , y , z\right) = F_{26}\! \left(x , y\right) F_{39}\! \left(x , z\right)
F_{39}\! \left(x , y\right) = -\frac{y \left(F_{6}\! \left(x , 1\right)-F_{6}\! \left(x , y\right)\right)}{-1+y}
F_{40}\! \left(x , y , z\right) = F_{41}\! \left(x , y , z\right)
F_{41}\! \left(x , y , z\right) = F_{34}\! \left(x , z\right) F_{42}\! \left(x , y , z\right) F_{44}\! \left(x , z\right)
F_{43}\! \left(x , y , z\right) = F_{34}\! \left(x , z\right) F_{42}\! \left(x , y , z\right)
F_{43}\! \left(x , y , z\right) = F_{32}\! \left(x , y , z\right)
F_{44}\! \left(x , y\right) = F_{45}\! \left(x , y , 1\right)
F_{45}\! \left(x , y , z\right) = F_{46}\! \left(x , y , y z \right)
F_{46}\! \left(x , y , z\right) = -\frac{-z F_{28}\! \left(x , y , z\right)+F_{28}\! \left(x , y , 1\right)}{-1+z}
F_{47}\! \left(x \right) = x
F_{48}\! \left(x , y , z\right) = F_{49}\! \left(x , y , z\right)
F_{49}\! \left(x , y , z\right) = F_{47}\! \left(x \right) F_{50}\! \left(x , y , z\right)
F_{50}\! \left(x , y , z\right) = F_{40}\! \left(x , y , z\right)+F_{51}\! \left(x , y , z\right)
F_{51}\! \left(x , y , z\right) = F_{26}\! \left(x , y\right) F_{52}\! \left(x , y , z\right)
F_{52}\! \left(x , y , z\right) = -\frac{z \left(F_{31}\! \left(x , y , 1\right)-F_{31}\! \left(x , y , z\right)\right)}{-1+z}
F_{54}\! \left(x , y , z\right) = F_{53}\! \left(x , y , y z \right)
F_{54}\! \left(x , y , z\right) = F_{13}\! \left(y x , z\right)
F_{55}\! \left(x , y\right) = F_{34}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = F_{15}\! \left(x , y , 1\right)
F_{57}\! \left(x , y , z\right) = F_{23}\! \left(x , y , y z \right)
F_{58}\! \left(x , y\right) = F_{39}\! \left(x , y\right) F_{47}\! \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_47(x))
Eq(F_4(x), F_5(x, 1))
Eq(F_5(x, k_0), F_0(x) + F_6(x, k_0))
Eq(F_6(x, k_0), F_58(x, k_0) + F_7(x) + F_8(x, k_0))
Eq(F_7(x), 0)
Eq(F_8(x, k_0), F_34(x, k_0)*F_9(x, k_0))
Eq(F_9(x, k_0), F_10(x, k_0, 1))
Eq(F_10(x, k_0, k_1), F_11(x, k_0, k_1) + F_57(x, k_0, k_1))
Eq(F_11(x, k_0, k_1), F_12(k_0*x, k_1))
Eq(F_12(x, k_0), F_1(x) + F_13(x, k_0) + F_55(x, k_0))
Eq(F_13(x, k_0), F_14(x, k_0)*F_47(x))
Eq(F_14(x, k_0), F_15(x, 1, k_0))
Eq(F_15(x, k_0, k_1), F_12(x, k_0) + F_16(x, k_0, k_1))
Eq(F_16(x, k_0, k_1), F_17(x, k_0, k_1))
Eq(F_17(x, k_0, k_1), F_12(x, k_0)*F_18(x, k_0, k_1)*F_34(x, k_1))
Eq(F_18(x, k_0, k_1), F_19(x, k_0, k_0*k_1))
Eq(F_20(x, k_0, k_1), F_19(x, k_0, k_1)*F_34(x, k_1))
Eq(F_21(x, k_0, k_1), F_1(x) + F_20(x, k_0, k_1) + F_53(x, k_0, k_1))
Eq(F_22(x, k_0, k_1), F_21(x, k_0, k_1) + F_23(x, k_0, k_1))
Eq(F_10(x, k_0, k_1), F_22(x, k_0, k_0*k_1))
Eq(F_23(x, k_0, k_1), F_24(x, k_0) + F_48(x, k_0, k_1))
Eq(F_24(x, k_0), F_25(x, k_0))
Eq(F_25(x, k_0), F_26(x, k_0)*F_27(x, k_0)*F_47(x))
Eq(F_26(x, k_0), (k_0*x - 2)*F_26(x, k_0) + F_26(x, k_0)**2 + 2)
Eq(F_27(x, k_0), F_28(x, k_0, 1))
Eq(F_28(x, k_0, k_1), F_29(x, k_0) + F_31(x, k_0, k_1))
Eq(F_29(x, k_0), F_30(x, k_0))
Eq(F_30(x, k_0), F_0(x)*F_26(x, k_0))
Eq(F_31(x, k_0, k_1), F_32(x, k_0, k_1) + F_35(x, k_0, k_1))
Eq(F_32(x, k_0, k_1), F_33(x, k_0, k_1))
Eq(F_33(x, k_0, k_1), F_19(x, k_0, k_1)*F_26(x, k_0)*F_34(x, k_1))
Eq(F_34(x, k_0), k_0*x)
Eq(F_35(x, k_0, k_1), F_36(x, k_0, k_1))
Eq(F_36(x, k_0, k_1), F_37(x, k_0, k_1)*F_47(x))
Eq(F_37(x, k_0, k_1), F_38(x, k_0, k_1) + F_40(x, k_0, k_1))
Eq(F_38(x, k_0, k_1), F_26(x, k_0)*F_39(x, k_1))
Eq(F_39(x, k_0), -F_6(x, 1) + (-k_0*F_6(x, k_0) + F_6(x, 1))/(1 - k_0))
Eq(F_40(x, k_0, k_1), F_41(x, k_0, k_1))
Eq(F_41(x, k_0, k_1), F_34(x, k_1)*F_42(x, k_0, k_1)*F_44(x, k_1))
Eq(F_43(x, k_0, k_1), F_34(x, k_1)*F_42(x, k_0, k_1))
Eq(F_43(x, k_0, k_1), F_32(x, k_0, k_1))
Eq(F_44(x, k_0), F_45(x, k_0, 1))
Eq(F_45(x, k_0, k_1), F_46(x, k_0, k_0*k_1))
Eq(F_46(x, k_0, k_1), (-k_1*F_28(x, k_0, k_1) + F_28(x, k_0, 1))/(1 - k_1))
Eq(F_47(x), x)
Eq(F_48(x, k_0, k_1), F_49(x, k_0, k_1))
Eq(F_49(x, k_0, k_1), F_47(x)*F_50(x, k_0, k_1))
Eq(F_50(x, k_0, k_1), F_40(x, k_0, k_1) + F_51(x, k_0, k_1))
Eq(F_51(x, k_0, k_1), F_26(x, k_0)*F_52(x, k_0, k_1))
Eq(F_52(x, k_0, k_1), -F_31(x, k_0, 1) + (-k_1*F_31(x, k_0, k_1) + F_31(x, k_0, 1))/(1 - k_1))
Eq(F_54(x, k_0, k_1), F_53(x, k_0, k_0*k_1))
Eq(F_54(x, k_0, k_1), F_13(k_0*x, k_1))
Eq(F_55(x, k_0), F_34(x, k_0)*F_56(x, k_0))
Eq(F_56(x, k_0), F_15(x, k_0, 1))
Eq(F_57(x, k_0, k_1), F_23(x, k_0, k_0*k_1))
Eq(F_58(x, k_0), F_39(x, k_0)*F_47(x))
Pack JSON:
{"name": "point_and_row_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": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1]], "symmetry": true}, {"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": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1]]}], "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": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 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, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], 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0], [3, 0], [4, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[3, 0], [3, 0], [3, 0], [5, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[3, 0], [3, 0], [4, 0], [4, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[3, 0], [3, 0], [4, 0], [5, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[3, 0], [3, 0], [5, 0], [5, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[3, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[3, 0], [4, 0], [4, 0], [5, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[3, 0], [4, 0], [5, 0], [5, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[4, 0], [4, 0], [4, 0], [5, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[4, 0], [4, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[3, 0], [3, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[3, 0], [4, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[3, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[4, 0], [4, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[4, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[3, 0], [3, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[3, 0], [4, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[3, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[4, 0], [4, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[4, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[3, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[4, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[3, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[4, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[3, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[4, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}], "requirements": [[{"patt": [0], "pos": [[2, 2]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 3]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0], "pos": [[3, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0], "pos": [[3, 2]]}, {"patt": [0], "pos": [[3, 3]]}, {"patt": [0], "pos": [[4, 0]]}, {"patt": [0], "pos": [[4, 1]]}, {"patt": [0], "pos": [[4, 3]]}, {"patt": [0], "pos": [[5, 1]]}, {"patt": [0], "pos": [[5, 2]]}, {"patt": [0], "pos": [[5, 3]]}, {"patt": [0], "pos": [[6, 1]]}, {"patt": [0], "pos": [[6, 2]]}, {"patt": [0], "pos": [[6, 3]]}, {"patt": [0], "pos": [[7, 1]]}, {"patt": [0], "pos": [[7, 2]]}, {"patt": [0], "pos": [[7, 3]]}, {"patt": [0, 1], "pos": [[1, 1], [2, 3]]}, {"patt": [0, 1], "pos": [[3, 0], [7, 0]]}, {"patt": [0, 1], "pos": [[4, 2], [4, 2]]}, {"patt": [1, 0], "pos": [[4, 2], [4, 2]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 3], [2, 3]]}, {"patt": [0, 2, 1], "pos": [[0, 3], [0, 3], [2, 3]]}, {"patt": [0, 2, 1], "pos": [[0, 3], [2, 3], [2, 3]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [1, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 3], [2, 3]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [3, 0], [5, 0]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [3, 0], [6, 0]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [5, 0], [6, 0]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [6, 0], [6, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 3], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 3], [2, 3], [2, 3], [2, 3]]}, {"patt": [0, 2, 3, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[5, 0], [5, 0], [5, 0], [6, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[5, 0], [5, 0], [5, 0], [7, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[5, 0], [5, 0], [6, 0], [6, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[5, 0], [5, 0], [6, 0], [7, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[5, 0], [6, 0], [6, 0], [6, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[5, 0], [6, 0], [6, 0], [7, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[6, 0], [6, 0], [6, 0], [6, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[6, 0], [6, 0], [6, 0], [7, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 3], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 3], [2, 3], [2, 3], [2, 3]]}, {"patt": [0, 3, 2, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[5, 0], [5, 0], [5, 0], [6, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[5, 0], [5, 0], [5, 0], [7, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[5, 0], [5, 0], [6, 0], [6, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[5, 0], [5, 0], [6, 0], [7, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[5, 0], [5, 0], [7, 0], [7, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[5, 0], [6, 0], [6, 0], [6, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[5, 0], [6, 0], [6, 0], [7, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[5, 0], [6, 0], [7, 0], [7, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[6, 0], [6, 0], [6, 0], [6, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[6, 0], [6, 0], [6, 0], [7, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[6, 0], [6, 0], [7, 0], [7, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[5, 0], [5, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[5, 0], [6, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[5, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[6, 0], [6, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[6, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[7, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[5, 0], [5, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[5, 0], [6, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[5, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[6, 0], [6, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[6, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[7, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[5, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[6, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[7, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[5, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[6, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[7, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[5, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[6, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[7, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}], "requirements": [[{"patt": [0], "pos": [[4, 2]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 3]]}, {"patt": [0], "pos": [[1, 1]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 3]]}, {"patt": [0], "pos": [[3, 0]]}, {"patt": [0], "pos": [[4, 2]]}, {"patt": [0], "pos": [[5, 0]]}]}]}], "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": "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": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1]], "symmetry": true}}, {"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": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "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_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/25345/
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[37,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x,1]
F[6,x,k[0]] = F[7,x,k[0]]+F[8,x,k[0]]
F[7,x,k[0]] = x*(1+F[7,x,k[0]])*k[0]+F[7,x,k[0]]^2
F[8,x,k[0]] = F[9,x,k[0]]
F[9,x,k[0]] = F[10,x,k[0]]*F[37,x]
F[10,x,k[0]] = F[11,x,k[0]]+F[12,x,k[0]]
F[11,x,k[0]] = -k[0]*(F[6,x,1]-F[6,x,k[0]])/(-1+k[0])
F[12,x,k[0]] = F[13,x,k[0]]
F[13,x,k[0]] = F[14,x,k[0]]*F[24,x,k[0]]
F[14,x,k[0]] = F[15,x,k[0],1]
F[15,x,k[0],k[1]] = F[16,x,k[0],k[0]*k[1]]
F[16,x,k[0],k[1]] = F[17,x,k[0],k[1]]+F[81,x,k[0],k[1]]
F[17,x,k[0],k[1]] = F[18,x,k[0]]*F[19,x,k[0],k[1]]
F[18,x,k[0]] = x*F[18,x,k[0]]*k[0]+F[18,x,k[0]]^2-2*F[18,x,k[0]]+2
F[19,x,k[0],k[1]] = (F[20,x,k[0],k[1]]*k[1]-F[20,x,k[0],1])/(-1+k[1])
F[20,x,k[0],k[1]] = F[21,x,k[0],k[1]]+F[75,x,k[0],k[1]]
F[21,x,k[0],k[1]] = F[18,x,k[1]]+F[22,x,k[0],k[1]]
F[22,x,k[0],k[1]] = F[23,x,k[0],k[1]]
F[23,x,k[0],k[1]] = F[24,x,k[0]]*F[25,x,k[0],k[1]]
F[24,x,k[0]] = k[0]*x
F[26,x,k[0],k[1]] = F[25,x,k[0],k[1]]*F[56,x]
F[27,x,k[0],k[1]] = F[26,x,k[0]*k[1],k[1]]
F[27,x,k[0],k[1]] = F[28,x,k[0],k[1]]*F[56,x]
F[28,x,k[0],k[1]] = F[29,k[1]*x,k[0]]
F[29,x,k[0]] = F[30,x,k[0]]+F[41,x,k[0]]
F[30,x,k[0]] = F[31,x,k[0]]*F[38,x]
F[31,x,k[0]] = F[32,k[0]*x]
F[32,x] = F[33,x]+F[34,x]
F[33,x] = 2+F[33,x]^2+(-2+x)*F[33,x]
F[34,x] = F[35,x]
F[35,x] = F[36,x]*F[37,x]
F[36,x] = F[29,x,1]
F[37,x] = x
F[38,x] = F[1,x]+F[39,x]
F[39,x] = F[40,x]
F[40,x] = F[37,x]*F[38,x]
F[41,x,k[0]] = F[42,x,k[0]]
F[42,x,k[0]] = F[31,x,k[0]]*F[37,x]*F[43,x,k[0]]
F[44,x,k[0]] = F[18,x,k[0]]*F[37,x]*F[43,x,k[0]]
F[44,x,k[0]] = F[45,x,k[0]]
F[45,x,k[0]] = F[46,x,k[0]]+F[48,x,k[0]]
F[46,x,k[0]] = F[47,x,k[0],1]
F[21,x,k[0],k[1]] = F[18,x,k[0]]+F[47,x,k[0],k[1]]
F[48,x,k[0]] = F[49,x,k[0]]
F[49,x,k[0]] = F[37,x]*F[50,x,k[0]]
F[50,x,k[0]] = F[51,x,k[0]]+F[52,x,k[0]]
F[51,x,k[0]] = F[38,x]*F[46,x,k[0]]
F[52,x,k[0]] = F[53,x,k[0]]
F[53,x,k[0]] = F[37,x]*F[54,x,k[0]]*F[55,x]
F[54,x,k[0]] = F[18,x,k[0]]+F[46,x,k[0]]
F[55,x] = F[43,x,1]
F[56,x] = F[57,x]+F[74,x]
F[57,x] = F[1,x]+F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[37,x]*F[60,x]
F[60,x] = F[57,x]+F[61,x]
F[61,x] = F[58,x]+F[62,x]
F[62,x] = F[63,x]+F[64,x]+F[67,x]
F[63,x] = 0
F[64,x] = F[37,x]*F[65,x]
F[65,x] = F[66,x]
F[66,x] = F[58,x]+F[62,x]
F[67,x] = F[37,x]*F[68,x]
F[68,x] = F[69,x]+F[70,x]
F[69,x] = F[39,x]
F[70,x] = F[71,x]
F[71,x] = F[63,x]+F[67,x]+F[72,x]
F[72,x] = F[37,x]*F[73,x]
F[73,x] = F[58,x]+F[71,x]
F[74,x] = F[39,x]+F[71,x]
F[75,x,k[0],k[1]] = F[76,x,k[0],k[1]]
F[76,x,k[0],k[1]] = F[37,x]*F[77,x,k[0],k[1]]
F[77,x,k[0],k[1]] = F[78,x,k[0],k[1]]+F[81,x,k[0],k[1]]
F[78,x,k[0],k[1]] = F[18,x,k[0]]*F[79,x,k[1]]
F[79,x,k[0]] = (F[80,x,k[0]]*k[0]-F[80,x,1])/(-1+k[0])
F[80,x,k[0]] = F[0,x]+F[6,x,k[0]]
F[81,x,k[0],k[1]] = F[82,x,k[0],k[1]]
F[82,x,k[0],k[1]] = F[24,x,k[1]]*F[83,x,k[0],k[1]]*F[85,x,k[1]]
F[84,x,k[0],k[1]] = F[24,x,k[1]]*F[83,x,k[0],k[1]]
F[84,x,k[0],k[1]] = F[47,x,k[0],k[1]]
F[85,x,k[0]] = F[86,x,k[0],1]
F[86,x,k[0],k[1]] = (F[87,x,k[0],k[1]]*k[0]*k[1]-F[87,x,k[0],1/k[0]])/(k[0]*k[1]-1)
F[87,x,k[0],k[1]] = F[20,x,k[0],k[0]*k[1]]
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_{37}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x , 1\right)
F_{6}\! \left(x , y\right) = F_{7}\! \left(x , y\right)+F_{8}\! \left(x , y\right)
F_{7}\! \left(x , y\right) = x F_{7}\! \left(x , y\right) y +y x +F_{7}\! \left(x , y\right)^{2}
F_{8}\! \left(x , y\right) = F_{9}\! \left(x , y\right)
F_{9}\! \left(x , y\right) = F_{10}\! \left(x , y\right) F_{37}\! \left(x \right)
F_{10}\! \left(x , y\right) = F_{11}\! \left(x , y\right)+F_{12}\! \left(x , y\right)
F_{11}\! \left(x , y\right) = -\frac{y \left(F_{6}\! \left(x , 1\right)-F_{6}\! \left(x , y\right)\right)}{-1+y}
F_{12}\! \left(x , y\right) = F_{13}\! \left(x , y\right)
F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{24}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = F_{15}\! \left(x , y , 1\right)
F_{15}\! \left(x , y , z\right) = F_{16}\! \left(x , y , y z \right)
F_{16}\! \left(x , y , z\right) = F_{17}\! \left(x , y , z\right)+F_{81}\! \left(x , y , z\right)
F_{17}\! \left(x , y , z\right) = F_{18}\! \left(x , y\right) F_{19}\! \left(x , y , z\right)
F_{18}\! \left(x , y\right) = x F_{18}\! \left(x , y\right) y +F_{18}\! \left(x , y\right)^{2}-2 F_{18}\! \left(x , y\right)+2
F_{19}\! \left(x , y , z\right) = -\frac{-F_{20}\! \left(x , y , z\right) z +F_{20}\! \left(x , y , 1\right)}{-1+z}
F_{20}\! \left(x , y , z\right) = F_{21}\! \left(x , y , z\right)+F_{75}\! \left(x , y , z\right)
F_{21}\! \left(x , y , z\right) = F_{18}\! \left(x , z\right)+F_{22}\! \left(x , y , z\right)
F_{22}\! \left(x , y , z\right) = F_{23}\! \left(x , y , z\right)
F_{23}\! \left(x , y , z\right) = F_{24}\! \left(x , y\right) F_{25}\! \left(x , y , z\right)
F_{24}\! \left(x , y\right) = y x
F_{26}\! \left(x , y , z\right) = F_{25}\! \left(x , y , z\right) F_{56}\! \left(x \right)
F_{27}\! \left(x , y , z\right) = F_{26}\! \left(x , y z , z\right)
F_{27}\! \left(x , y , z\right) = F_{28}\! \left(x , y , z\right) F_{56}\! \left(x \right)
F_{28}\! \left(x , y , z\right) = F_{29}\! \left(z x , y\right)
F_{29}\! \left(x , y\right) = F_{30}\! \left(x , y\right)+F_{41}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{31}\! \left(x , y\right) F_{38}\! \left(x \right)
F_{31}\! \left(x , y\right) = F_{32}\! \left(y x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{34}\! \left(x \right)
F_{33}\! \left(x \right) = F_{33}\! \left(x \right) x +F_{33} \left(x \right)^{2}-2 F_{33}\! \left(x \right)+2
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right) F_{37}\! \left(x \right)
F_{36}\! \left(x \right) = F_{29}\! \left(x , 1\right)
F_{37}\! \left(x \right) = x
F_{38}\! \left(x \right) = F_{1}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{37}\! \left(x \right) F_{38}\! \left(x \right)
F_{41}\! \left(x , y\right) = F_{42}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{31}\! \left(x , y\right) F_{37}\! \left(x \right) F_{43}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{18}\! \left(x , y\right) F_{37}\! \left(x \right) F_{43}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{45}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{46}\! \left(x , y\right)+F_{48}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{47}\! \left(x , y , 1\right)
F_{21}\! \left(x , y , z\right) = F_{18}\! \left(x , y\right)+F_{47}\! \left(x , y , z\right)
F_{48}\! \left(x , y\right) = F_{49}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{37}\! \left(x \right) F_{50}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{51}\! \left(x , y\right)+F_{52}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{38}\! \left(x \right) F_{46}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{53}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{37}\! \left(x \right) F_{54}\! \left(x , y\right) F_{55}\! \left(x \right)
F_{54}\! \left(x , y\right) = F_{18}\! \left(x , y\right)+F_{46}\! \left(x , y\right)
F_{55}\! \left(x \right) = F_{43}\! \left(x , 1\right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)+F_{74}\! \left(x \right)
F_{57}\! \left(x \right) = F_{1}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{37}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{57}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{58}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{64}\! \left(x \right)+F_{67}\! \left(x \right)
F_{63}\! \left(x \right) = 0
F_{64}\! \left(x \right) = F_{37}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{58}\! \left(x \right)+F_{62}\! \left(x \right)
F_{67}\! \left(x \right) = F_{37}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{70}\! \left(x \right)
F_{69}\! \left(x \right) = F_{39}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{63}\! \left(x \right)+F_{67}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{37}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{58}\! \left(x \right)+F_{71}\! \left(x \right)
F_{74}\! \left(x \right) = F_{39}\! \left(x \right)+F_{71}\! \left(x \right)
F_{75}\! \left(x , y , z\right) = F_{76}\! \left(x , y , z\right)
F_{76}\! \left(x , y , z\right) = F_{37}\! \left(x \right) F_{77}\! \left(x , y , z\right)
F_{77}\! \left(x , y , z\right) = F_{78}\! \left(x , y , z\right)+F_{81}\! \left(x , y , z\right)
F_{78}\! \left(x , y , z\right) = F_{18}\! \left(x , y\right) F_{79}\! \left(x , z\right)
F_{79}\! \left(x , y\right) = -\frac{-F_{80}\! \left(x , y\right) y +F_{80}\! \left(x , 1\right)}{-1+y}
F_{80}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{6}\! \left(x , y\right)
F_{81}\! \left(x , y , z\right) = F_{82}\! \left(x , y , z\right)
F_{82}\! \left(x , y , z\right) = F_{24}\! \left(x , z\right) F_{83}\! \left(x , y , z\right) F_{85}\! \left(x , z\right)
F_{84}\! \left(x , y , z\right) = F_{24}\! \left(x , z\right) F_{83}\! \left(x , y , z\right)
F_{84}\! \left(x , y , z\right) = F_{47}\! \left(x , y , z\right)
F_{85}\! \left(x , y\right) = F_{86}\! \left(x , y , 1\right)
F_{86}\! \left(x , y , z\right) = \frac{y z F_{87}\! \left(x , y , z\right)-F_{87}\! \left(x , y , \frac{1}{y}\right)}{y z -1}
F_{87}\! \left(x , y , z\right) = F_{20}\! \left(x , y , y z \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_37(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x, 1))
Eq(F_6(x, k_0), F_7(x, k_0) + F_8(x, k_0))
Eq(F_7(x, k_0), (k_0*x - 3)*(F_7(x, k_0) + 1) + (F_7(x, k_0) + 1)**2 + F_7(x, k_0) + 2)
Eq(F_8(x, k_0), F_9(x, k_0))
Eq(F_9(x, k_0), F_10(x, k_0)*F_37(x))
Eq(F_10(x, k_0), F_11(x, k_0) + F_12(x, k_0))
Eq(F_11(x, k_0), -F_6(x, 1) + (-k_0*F_6(x, k_0) + F_6(x, 1))/(1 - k_0))
Eq(F_12(x, k_0), F_13(x, k_0))
Eq(F_13(x, k_0), F_14(x, k_0)*F_24(x, k_0))
Eq(F_14(x, k_0), F_15(x, k_0, 1))
Eq(F_15(x, k_0, k_1), F_16(x, k_0, k_0*k_1))
Eq(F_16(x, k_0, k_1), F_17(x, k_0, k_1) + F_81(x, k_0, k_1))
Eq(F_17(x, k_0, k_1), F_18(x, k_0)*F_19(x, k_0, k_1))
Eq(F_18(x, k_0), (k_0*x - 2)*F_18(x, k_0) + F_18(x, k_0)**2 + 2)
Eq(F_19(x, k_0, k_1), (-k_1*F_20(x, k_0, k_1) + F_20(x, k_0, 1))/(1 - k_1))
Eq(F_20(x, k_0, k_1), F_21(x, k_0, k_1) + F_75(x, k_0, k_1))
Eq(F_21(x, k_0, k_1), F_18(x, k_1) + F_22(x, k_0, k_1))
Eq(F_22(x, k_0, k_1), F_23(x, k_0, k_1))
Eq(F_23(x, k_0, k_1), F_24(x, k_0)*F_25(x, k_0, k_1))
Eq(F_24(x, k_0), k_0*x)
Eq(F_26(x, k_0, k_1), F_25(x, k_0, k_1)*F_56(x))
Eq(F_27(x, k_0, k_1), F_26(x, k_0*k_1, k_1))
Eq(F_27(x, k_0, k_1), F_28(x, k_0, k_1)*F_56(x))
Eq(F_28(x, k_0, k_1), F_29(k_1*x, k_0))
Eq(F_29(x, k_0), F_30(x, k_0) + F_41(x, k_0))
Eq(F_30(x, k_0), F_31(x, k_0)*F_38(x))
Eq(F_31(x, k_0), F_32(k_0*x))
Eq(F_32(x), F_33(x) + F_34(x))
Eq(F_33(x), (x - 2)*F_33(x) + F_33(x)**2 + 2)
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_36(x)*F_37(x))
Eq(F_36(x), F_29(x, 1))
Eq(F_37(x), x)
Eq(F_38(x), F_1(x) + F_39(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_37(x)*F_38(x))
Eq(F_41(x, k_0), F_42(x, k_0))
Eq(F_42(x, k_0), F_31(x, k_0)*F_37(x)*F_43(x, k_0))
Eq(F_44(x, k_0), F_18(x, k_0)*F_37(x)*F_43(x, k_0))
Eq(F_44(x, k_0), F_45(x, k_0))
Eq(F_45(x, k_0), F_46(x, k_0) + F_48(x, k_0))
Eq(F_46(x, k_0), F_47(x, k_0, 1))
Eq(F_21(x, k_0, k_1), F_18(x, k_0) + F_47(x, k_0, k_1))
Eq(F_48(x, k_0), F_49(x, k_0))
Eq(F_49(x, k_0), F_37(x)*F_50(x, k_0))
Eq(F_50(x, k_0), F_51(x, k_0) + F_52(x, k_0))
Eq(F_51(x, k_0), F_38(x)*F_46(x, k_0))
Eq(F_52(x, k_0), F_53(x, k_0))
Eq(F_53(x, k_0), F_37(x)*F_54(x, k_0)*F_55(x))
Eq(F_54(x, k_0), F_18(x, k_0) + F_46(x, k_0))
Eq(F_55(x), F_43(x, 1))
Eq(F_56(x), F_57(x) + F_74(x))
Eq(F_57(x), F_1(x) + F_58(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_37(x)*F_60(x))
Eq(F_60(x), F_57(x) + F_61(x))
Eq(F_61(x), F_58(x) + F_62(x))
Eq(F_62(x), F_63(x) + F_64(x) + F_67(x))
Eq(F_63(x), 0)
Eq(F_64(x), F_37(x)*F_65(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_58(x) + F_62(x))
Eq(F_67(x), F_37(x)*F_68(x))
Eq(F_68(x), F_69(x) + F_70(x))
Eq(F_69(x), F_39(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_63(x) + F_67(x) + F_72(x))
Eq(F_72(x), F_37(x)*F_73(x))
Eq(F_73(x), F_58(x) + F_71(x))
Eq(F_74(x), F_39(x) + F_71(x))
Eq(F_75(x, k_0, k_1), F_76(x, k_0, k_1))
Eq(F_76(x, k_0, k_1), F_37(x)*F_77(x, k_0, k_1))
Eq(F_77(x, k_0, k_1), F_78(x, k_0, k_1) + F_81(x, k_0, k_1))
Eq(F_78(x, k_0, k_1), F_18(x, k_0)*F_79(x, k_1))
Eq(F_79(x, k_0), (-k_0*F_80(x, k_0) + F_80(x, 1))/(1 - k_0))
Eq(F_80(x, k_0), F_0(x) + F_6(x, k_0))
Eq(F_81(x, k_0, k_1), F_82(x, k_0, k_1))
Eq(F_82(x, k_0, k_1), F_24(x, k_1)*F_83(x, k_0, k_1)*F_85(x, k_1))
Eq(F_84(x, k_0, k_1), F_24(x, k_1)*F_83(x, k_0, k_1))
Eq(F_84(x, k_0, k_1), F_47(x, k_0, k_1))
Eq(F_85(x, k_0), F_86(x, k_0, 1))
Eq(F_86(x, k_0, k_1), (-k_0*k_1*F_87(x, k_0, k_1) + F_87(x, k_0, 1/k_0))/(-k_0*k_1 + 1))
Eq(F_87(x, k_0, k_1), F_20(x, k_0, k_0*k_1))
Pack JSON:
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Specification JSON:
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{"patt": [0, 3, 2, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [2, 0], [2, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [2, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 0], [2, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[2, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[2, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 1, "tracked": true}}]}
Specification 4
Strategy pack name: point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/25371/
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[47,x]
F[4,x] = F[5,x,1]
F[5,x,k[0]] = F[0,x]+F[6,x,k[0]]
F[6,x,k[0]] = F[58,x,k[0]]+F[7,x]+F[8,x,k[0]]
F[7,x] = 0
F[8,x,k[0]] = F[34,x,k[0]]*F[9,x,k[0]]
F[9,x,k[0]] = F[10,x,k[0],1]
F[10,x,k[0],k[1]] = F[11,x,k[0],k[1]]+F[57,x,k[0],k[1]]
F[11,x,k[0],k[1]] = F[12,k[0]*x,k[1]]
F[12,x,k[0]] = F[1,x]+F[13,x,k[0]]+F[55,x,k[0]]
F[13,x,k[0]] = F[14,x,k[0]]*F[47,x]
F[14,x,k[0]] = F[15,x,1,k[0]]
F[15,x,k[0],k[1]] = F[12,x,k[0]]+F[16,x,k[0],k[1]]
F[16,x,k[0],k[1]] = F[17,x,k[0],k[1]]
F[17,x,k[0],k[1]] = F[12,x,k[0]]*F[18,x,k[0],k[1]]*F[34,x,k[1]]
F[18,x,k[0],k[1]] = F[19,x,k[0],k[0]*k[1]]
F[20,x,k[0],k[1]] = F[19,x,k[0],k[1]]*F[34,x,k[1]]
F[21,x,k[0],k[1]] = F[1,x]+F[20,x,k[0],k[1]]+F[53,x,k[0],k[1]]
F[22,x,k[0],k[1]] = F[21,x,k[0],k[1]]+F[23,x,k[0],k[1]]
F[10,x,k[0],k[1]] = F[22,x,k[0],k[0]*k[1]]
F[23,x,k[0],k[1]] = F[24,x,k[0]]+F[48,x,k[0],k[1]]
F[24,x,k[0]] = F[25,x,k[0]]
F[25,x,k[0]] = F[26,x,k[0]]*F[27,x,k[0]]*F[47,x]
F[26,x,k[0]] = x*F[26,x,k[0]]*k[0]+F[26,x,k[0]]^2-2*F[26,x,k[0]]+2
F[27,x,k[0]] = F[28,x,k[0],1]
F[28,x,k[0],k[1]] = F[29,x,k[0]]+F[31,x,k[0],k[1]]
F[29,x,k[0]] = F[30,x,k[0]]
F[30,x,k[0]] = F[0,x]*F[26,x,k[0]]
F[31,x,k[0],k[1]] = F[32,x,k[0],k[1]]+F[35,x,k[0],k[1]]
F[32,x,k[0],k[1]] = F[33,x,k[0],k[1]]
F[33,x,k[0],k[1]] = F[19,x,k[0],k[1]]*F[26,x,k[0]]*F[34,x,k[1]]
F[34,x,k[0]] = k[0]*x
F[35,x,k[0],k[1]] = F[36,x,k[0],k[1]]
F[36,x,k[0],k[1]] = F[37,x,k[0],k[1]]*F[47,x]
F[37,x,k[0],k[1]] = F[38,x,k[0],k[1]]+F[40,x,k[0],k[1]]
F[38,x,k[0],k[1]] = F[26,x,k[0]]*F[39,x,k[1]]
F[39,x,k[0]] = -k[0]*(F[6,x,1]-F[6,x,k[0]])/(-1+k[0])
F[40,x,k[0],k[1]] = F[41,x,k[0],k[1]]
F[41,x,k[0],k[1]] = F[34,x,k[1]]*F[42,x,k[0],k[1]]*F[44,x,k[1]]
F[43,x,k[0],k[1]] = F[34,x,k[1]]*F[42,x,k[0],k[1]]
F[43,x,k[0],k[1]] = F[32,x,k[0],k[1]]
F[44,x,k[0]] = F[45,x,k[0],1]
F[45,x,k[0],k[1]] = F[46,x,k[0],k[0]*k[1]]
F[46,x,k[0],k[1]] = (F[28,x,k[0],k[1]]*k[1]-F[28,x,k[0],1])/(-1+k[1])
F[47,x] = x
F[48,x,k[0],k[1]] = F[49,x,k[0],k[1]]
F[49,x,k[0],k[1]] = F[47,x]*F[50,x,k[0],k[1]]
F[50,x,k[0],k[1]] = F[40,x,k[0],k[1]]+F[51,x,k[0],k[1]]
F[51,x,k[0],k[1]] = F[26,x,k[0]]*F[52,x,k[0],k[1]]
F[52,x,k[0],k[1]] = -k[1]*(F[31,x,k[0],1]-F[31,x,k[0],k[1]])/(-1+k[1])
F[54,x,k[0],k[1]] = F[53,x,k[0],k[0]*k[1]]
F[54,x,k[0],k[1]] = F[13,k[0]*x,k[1]]
F[55,x,k[0]] = F[34,x,k[0]]*F[56,x,k[0]]
F[56,x,k[0]] = F[15,x,k[0],1]
F[57,x,k[0],k[1]] = F[23,x,k[0],k[0]*k[1]]
F[58,x,k[0]] = F[39,x,k[0]]*F[47,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_{47}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x , 1\right)
F_{5}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{6}\! \left(x , y\right)
F_{6}\! \left(x , y\right) = F_{58}\! \left(x , y\right)+F_{7}\! \left(x \right)+F_{8}\! \left(x , y\right)
F_{7}\! \left(x \right) = 0
F_{8}\! \left(x , y\right) = F_{34}\! \left(x , y\right) F_{9}\! \left(x , y\right)
F_{9}\! \left(x , y\right) = F_{10}\! \left(x , y , 1\right)
F_{10}\! \left(x , y , z\right) = F_{11}\! \left(x , y , z\right)+F_{57}\! \left(x , y , z\right)
F_{11}\! \left(x , y , z\right) = F_{12}\! \left(y x , z\right)
F_{12}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{13}\! \left(x , y\right)+F_{55}\! \left(x , y\right)
F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{47}\! \left(x \right)
F_{14}\! \left(x , y\right) = F_{15}\! \left(x , 1, y\right)
F_{15}\! \left(x , y , z\right) = F_{12}\! \left(x , y\right)+F_{16}\! \left(x , y , z\right)
F_{16}\! \left(x , y , z\right) = F_{17}\! \left(x , y , z\right)
F_{17}\! \left(x , y , z\right) = F_{12}\! \left(x , y\right) F_{18}\! \left(x , y , z\right) F_{34}\! \left(x , z\right)
F_{18}\! \left(x , y , z\right) = F_{19}\! \left(x , y , y z \right)
F_{20}\! \left(x , y , z\right) = F_{19}\! \left(x , y , z\right) F_{34}\! \left(x , z\right)
F_{21}\! \left(x , y , z\right) = F_{1}\! \left(x \right)+F_{20}\! \left(x , y , z\right)+F_{53}\! \left(x , y , z\right)
F_{22}\! \left(x , y , z\right) = F_{21}\! \left(x , y , z\right)+F_{23}\! \left(x , y , z\right)
F_{10}\! \left(x , y , z\right) = F_{22}\! \left(x , y , y z \right)
F_{23}\! \left(x , y , z\right) = F_{24}\! \left(x , y\right)+F_{48}\! \left(x , y , z\right)
F_{24}\! \left(x , y\right) = F_{25}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{26}\! \left(x , y\right) F_{27}\! \left(x , y\right) F_{47}\! \left(x \right)
F_{26}\! \left(x , y\right) = x F_{26}\! \left(x , y\right) y +F_{26}\! \left(x , y\right)^{2}-2 F_{26}\! \left(x , y\right)+2
F_{27}\! \left(x , y\right) = F_{28}\! \left(x , y , 1\right)
F_{28}\! \left(x , y , z\right) = F_{29}\! \left(x , y\right)+F_{31}\! \left(x , y , z\right)
F_{29}\! \left(x , y\right) = F_{30}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{0}\! \left(x \right) F_{26}\! \left(x , y\right)
F_{31}\! \left(x , y , z\right) = F_{32}\! \left(x , y , z\right)+F_{35}\! \left(x , y , z\right)
F_{32}\! \left(x , y , z\right) = F_{33}\! \left(x , y , z\right)
F_{33}\! \left(x , y , z\right) = F_{19}\! \left(x , y , z\right) F_{26}\! \left(x , y\right) F_{34}\! \left(x , z\right)
F_{34}\! \left(x , y\right) = y x
F_{35}\! \left(x , y , z\right) = F_{36}\! \left(x , y , z\right)
F_{36}\! \left(x , y , z\right) = F_{37}\! \left(x , y , z\right) F_{47}\! \left(x \right)
F_{37}\! \left(x , y , z\right) = F_{38}\! \left(x , y , z\right)+F_{40}\! \left(x , y , z\right)
F_{38}\! \left(x , y , z\right) = F_{26}\! \left(x , y\right) F_{39}\! \left(x , z\right)
F_{39}\! \left(x , y\right) = -\frac{y \left(F_{6}\! \left(x , 1\right)-F_{6}\! \left(x , y\right)\right)}{-1+y}
F_{40}\! \left(x , y , z\right) = F_{41}\! \left(x , y , z\right)
F_{41}\! \left(x , y , z\right) = F_{34}\! \left(x , z\right) F_{42}\! \left(x , y , z\right) F_{44}\! \left(x , z\right)
F_{43}\! \left(x , y , z\right) = F_{34}\! \left(x , z\right) F_{42}\! \left(x , y , z\right)
F_{43}\! \left(x , y , z\right) = F_{32}\! \left(x , y , z\right)
F_{44}\! \left(x , y\right) = F_{45}\! \left(x , y , 1\right)
F_{45}\! \left(x , y , z\right) = F_{46}\! \left(x , y , y z \right)
F_{46}\! \left(x , y , z\right) = -\frac{-z F_{28}\! \left(x , y , z\right)+F_{28}\! \left(x , y , 1\right)}{-1+z}
F_{47}\! \left(x \right) = x
F_{48}\! \left(x , y , z\right) = F_{49}\! \left(x , y , z\right)
F_{49}\! \left(x , y , z\right) = F_{47}\! \left(x \right) F_{50}\! \left(x , y , z\right)
F_{50}\! \left(x , y , z\right) = F_{40}\! \left(x , y , z\right)+F_{51}\! \left(x , y , z\right)
F_{51}\! \left(x , y , z\right) = F_{26}\! \left(x , y\right) F_{52}\! \left(x , y , z\right)
F_{52}\! \left(x , y , z\right) = -\frac{z \left(F_{31}\! \left(x , y , 1\right)-F_{31}\! \left(x , y , z\right)\right)}{-1+z}
F_{54}\! \left(x , y , z\right) = F_{53}\! \left(x , y , y z \right)
F_{54}\! \left(x , y , z\right) = F_{13}\! \left(y x , z\right)
F_{55}\! \left(x , y\right) = F_{34}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = F_{15}\! \left(x , y , 1\right)
F_{57}\! \left(x , y , z\right) = F_{23}\! \left(x , y , y z \right)
F_{58}\! \left(x , y\right) = F_{39}\! \left(x , y\right) F_{47}\! \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_47(x))
Eq(F_4(x), F_5(x, 1))
Eq(F_5(x, k_0), F_0(x) + F_6(x, k_0))
Eq(F_6(x, k_0), F_58(x, k_0) + F_7(x) + F_8(x, k_0))
Eq(F_7(x), 0)
Eq(F_8(x, k_0), F_34(x, k_0)*F_9(x, k_0))
Eq(F_9(x, k_0), F_10(x, k_0, 1))
Eq(F_10(x, k_0, k_1), F_11(x, k_0, k_1) + F_57(x, k_0, k_1))
Eq(F_11(x, k_0, k_1), F_12(k_0*x, k_1))
Eq(F_12(x, k_0), F_1(x) + F_13(x, k_0) + F_55(x, k_0))
Eq(F_13(x, k_0), F_14(x, k_0)*F_47(x))
Eq(F_14(x, k_0), F_15(x, 1, k_0))
Eq(F_15(x, k_0, k_1), F_12(x, k_0) + F_16(x, k_0, k_1))
Eq(F_16(x, k_0, k_1), F_17(x, k_0, k_1))
Eq(F_17(x, k_0, k_1), F_12(x, k_0)*F_18(x, k_0, k_1)*F_34(x, k_1))
Eq(F_18(x, k_0, k_1), F_19(x, k_0, k_0*k_1))
Eq(F_20(x, k_0, k_1), F_19(x, k_0, k_1)*F_34(x, k_1))
Eq(F_21(x, k_0, k_1), F_1(x) + F_20(x, k_0, k_1) + F_53(x, k_0, k_1))
Eq(F_22(x, k_0, k_1), F_21(x, k_0, k_1) + F_23(x, k_0, k_1))
Eq(F_10(x, k_0, k_1), F_22(x, k_0, k_0*k_1))
Eq(F_23(x, k_0, k_1), F_24(x, k_0) + F_48(x, k_0, k_1))
Eq(F_24(x, k_0), F_25(x, k_0))
Eq(F_25(x, k_0), F_26(x, k_0)*F_27(x, k_0)*F_47(x))
Eq(F_26(x, k_0), (k_0*x - 2)*F_26(x, k_0) + F_26(x, k_0)**2 + 2)
Eq(F_27(x, k_0), F_28(x, k_0, 1))
Eq(F_28(x, k_0, k_1), F_29(x, k_0) + F_31(x, k_0, k_1))
Eq(F_29(x, k_0), F_30(x, k_0))
Eq(F_30(x, k_0), F_0(x)*F_26(x, k_0))
Eq(F_31(x, k_0, k_1), F_32(x, k_0, k_1) + F_35(x, k_0, k_1))
Eq(F_32(x, k_0, k_1), F_33(x, k_0, k_1))
Eq(F_33(x, k_0, k_1), F_19(x, k_0, k_1)*F_26(x, k_0)*F_34(x, k_1))
Eq(F_34(x, k_0), k_0*x)
Eq(F_35(x, k_0, k_1), F_36(x, k_0, k_1))
Eq(F_36(x, k_0, k_1), F_37(x, k_0, k_1)*F_47(x))
Eq(F_37(x, k_0, k_1), F_38(x, k_0, k_1) + F_40(x, k_0, k_1))
Eq(F_38(x, k_0, k_1), F_26(x, k_0)*F_39(x, k_1))
Eq(F_39(x, k_0), -F_6(x, 1) + (-k_0*F_6(x, k_0) + F_6(x, 1))/(1 - k_0))
Eq(F_40(x, k_0, k_1), F_41(x, k_0, k_1))
Eq(F_41(x, k_0, k_1), F_34(x, k_1)*F_42(x, k_0, k_1)*F_44(x, k_1))
Eq(F_43(x, k_0, k_1), F_34(x, k_1)*F_42(x, k_0, k_1))
Eq(F_43(x, k_0, k_1), F_32(x, k_0, k_1))
Eq(F_44(x, k_0), F_45(x, k_0, 1))
Eq(F_45(x, k_0, k_1), F_46(x, k_0, k_0*k_1))
Eq(F_46(x, k_0, k_1), (-k_1*F_28(x, k_0, k_1) + F_28(x, k_0, 1))/(1 - k_1))
Eq(F_47(x), x)
Eq(F_48(x, k_0, k_1), F_49(x, k_0, k_1))
Eq(F_49(x, k_0, k_1), F_47(x)*F_50(x, k_0, k_1))
Eq(F_50(x, k_0, k_1), F_40(x, k_0, k_1) + F_51(x, k_0, k_1))
Eq(F_51(x, k_0, k_1), F_26(x, k_0)*F_52(x, k_0, k_1))
Eq(F_52(x, k_0, k_1), -F_31(x, k_0, 1) + (-k_1*F_31(x, k_0, k_1) + F_31(x, k_0, 1))/(1 - k_1))
Eq(F_54(x, k_0, k_1), F_53(x, k_0, k_0*k_1))
Eq(F_54(x, k_0, k_1), F_13(k_0*x, k_1))
Eq(F_55(x, k_0), F_34(x, k_0)*F_56(x, k_0))
Eq(F_56(x, k_0), F_15(x, k_0, 1))
Eq(F_57(x, k_0, k_1), F_23(x, k_0, k_0*k_1))
Eq(F_58(x, k_0), F_39(x, k_0)*F_47(x))
Pack JSON:
{"name": "point_and_row_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": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1]], "symmetry": true}, {"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": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1]]}], "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": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 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, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionStrategy", "assumption": {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 0]]}]}, "sub_assumption": {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}}}, "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, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}, {"class_module": 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"pos": [[1, 3]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0], "pos": [[3, 2]]}, {"patt": [0], "pos": [[3, 3]]}, {"patt": [0], "pos": [[4, 0]]}, {"patt": [0], "pos": [[4, 1]]}, {"patt": [0], "pos": [[4, 3]]}, {"patt": [0], "pos": [[5, 1]]}, {"patt": [0], "pos": [[5, 2]]}, {"patt": [0], "pos": [[5, 3]]}, {"patt": [0], "pos": [[6, 1]]}, {"patt": [0], "pos": [[6, 2]]}, {"patt": [0], "pos": [[6, 3]]}, {"patt": [0], "pos": [[7, 1]]}, {"patt": [0], "pos": [[7, 2]]}, {"patt": [0], "pos": [[7, 3]]}, {"patt": [0, 1], "pos": [[1, 1], [2, 3]]}, {"patt": [0, 1], "pos": [[3, 0], [7, 0]]}, {"patt": [0, 1], "pos": [[4, 2], [4, 2]]}, {"patt": [1, 0], "pos": [[4, 2], [4, 2]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 3], [2, 3]]}, {"patt": [0, 2, 1], "pos": [[0, 3], [0, 3], [2, 3]]}, {"patt": [0, 2, 1], "pos": [[0, 3], [2, 3], [2, 3]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [1, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 3], [2, 3]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [3, 0], [5, 0]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [3, 0], [6, 0]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [5, 0], [6, 0]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [6, 0], [6, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 3], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 3], [2, 3], [2, 3], [2, 3]]}, {"patt": [0, 2, 3, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[5, 0], [5, 0], [5, 0], [6, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[5, 0], [5, 0], [5, 0], [7, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[5, 0], [5, 0], [6, 0], [6, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[5, 0], [5, 0], [6, 0], [7, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[5, 0], [6, 0], [6, 0], [6, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[5, 0], [6, 0], [6, 0], [7, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[6, 0], [6, 0], [6, 0], [6, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[6, 0], [6, 0], [6, 0], [7, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 3], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 3], [2, 3], [2, 3], [2, 3]]}, {"patt": [0, 3, 2, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[5, 0], [5, 0], [5, 0], [6, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[5, 0], [5, 0], [5, 0], [7, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[5, 0], [5, 0], [6, 0], [6, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[5, 0], [5, 0], [6, 0], [7, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[5, 0], [5, 0], [7, 0], [7, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[5, 0], [6, 0], [6, 0], [6, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[5, 0], [6, 0], [6, 0], [7, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[5, 0], [6, 0], [7, 0], [7, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[6, 0], [6, 0], [6, 0], [6, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[6, 0], [6, 0], [6, 0], [7, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[6, 0], [6, 0], [7, 0], [7, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[5, 0], [5, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[5, 0], [6, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[5, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[6, 0], [6, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[6, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[7, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[5, 0], [5, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[5, 0], [6, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[5, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[6, 0], [6, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[6, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[7, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[5, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[6, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[7, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[5, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[6, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[7, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[5, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[6, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[7, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}], "requirements": [[{"patt": [0], "pos": [[4, 2]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 3]]}, {"patt": [0], "pos": [[1, 1]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 3]]}, {"patt": [0], "pos": [[3, 0]]}, {"patt": [0], "pos": [[4, 2]]}, {"patt": [0], "pos": [[5, 0]]}]}]}], "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": "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": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1]], "symmetry": true}}, {"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": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "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_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/25513/
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[47,x]
F[4,x] = F[5,x,1]
F[5,x,k[0]] = F[0,x]+F[6,x,k[0]]
F[6,x,k[0]] = F[58,x,k[0]]+F[7,x]+F[8,x,k[0]]
F[7,x] = 0
F[8,x,k[0]] = F[34,x,k[0]]*F[9,x,k[0]]
F[9,x,k[0]] = F[10,x,k[0],1]
F[10,x,k[0],k[1]] = F[11,x,k[0],k[1]]+F[57,x,k[0],k[1]]
F[11,x,k[0],k[1]] = F[12,k[0]*x,k[1]]
F[12,x,k[0]] = F[1,x]+F[13,x,k[0]]+F[55,x,k[0]]
F[13,x,k[0]] = F[14,x,k[0]]*F[47,x]
F[14,x,k[0]] = F[15,x,1,k[0]]
F[15,x,k[0],k[1]] = F[12,x,k[0]]+F[16,x,k[0],k[1]]
F[16,x,k[0],k[1]] = F[17,x,k[0],k[1]]
F[17,x,k[0],k[1]] = F[12,x,k[0]]*F[18,x,k[0],k[1]]*F[34,x,k[1]]
F[18,x,k[0],k[1]] = F[19,x,k[0],k[0]*k[1]]
F[20,x,k[0],k[1]] = F[19,x,k[0],k[1]]*F[34,x,k[1]]
F[21,x,k[0],k[1]] = F[1,x]+F[20,x,k[0],k[1]]+F[53,x,k[0],k[1]]
F[22,x,k[0],k[1]] = F[21,x,k[0],k[1]]+F[23,x,k[0],k[1]]
F[10,x,k[0],k[1]] = F[22,x,k[0],k[0]*k[1]]
F[23,x,k[0],k[1]] = F[24,x,k[0]]+F[48,x,k[0],k[1]]
F[24,x,k[0]] = F[25,x,k[0]]
F[25,x,k[0]] = F[26,x,k[0]]*F[27,x,k[0]]*F[47,x]
F[26,x,k[0]] = x*F[26,x,k[0]]*k[0]+F[26,x,k[0]]^2-2*F[26,x,k[0]]+2
F[27,x,k[0]] = F[28,x,k[0],1]
F[28,x,k[0],k[1]] = F[29,x,k[0]]+F[31,x,k[0],k[1]]
F[29,x,k[0]] = F[30,x,k[0]]
F[30,x,k[0]] = F[0,x]*F[26,x,k[0]]
F[31,x,k[0],k[1]] = F[32,x,k[0],k[1]]+F[35,x,k[0],k[1]]
F[32,x,k[0],k[1]] = F[33,x,k[0],k[1]]
F[33,x,k[0],k[1]] = F[19,x,k[0],k[1]]*F[26,x,k[0]]*F[34,x,k[1]]
F[34,x,k[0]] = k[0]*x
F[35,x,k[0],k[1]] = F[36,x,k[0],k[1]]
F[36,x,k[0],k[1]] = F[37,x,k[0],k[1]]*F[47,x]
F[37,x,k[0],k[1]] = F[38,x,k[0],k[1]]+F[40,x,k[0],k[1]]
F[38,x,k[0],k[1]] = F[26,x,k[0]]*F[39,x,k[1]]
F[39,x,k[0]] = -k[0]*(F[6,x,1]-F[6,x,k[0]])/(-1+k[0])
F[40,x,k[0],k[1]] = F[41,x,k[0],k[1]]
F[41,x,k[0],k[1]] = F[34,x,k[1]]*F[42,x,k[0],k[1]]*F[44,x,k[1]]
F[43,x,k[0],k[1]] = F[34,x,k[1]]*F[42,x,k[0],k[1]]
F[43,x,k[0],k[1]] = F[32,x,k[0],k[1]]
F[44,x,k[0]] = F[45,x,k[0],1]
F[45,x,k[0],k[1]] = F[46,x,k[0],k[0]*k[1]]
F[46,x,k[0],k[1]] = (F[28,x,k[0],k[1]]*k[1]-F[28,x,k[0],1])/(-1+k[1])
F[47,x] = x
F[48,x,k[0],k[1]] = F[49,x,k[0],k[1]]
F[49,x,k[0],k[1]] = F[47,x]*F[50,x,k[0],k[1]]
F[50,x,k[0],k[1]] = F[40,x,k[0],k[1]]+F[51,x,k[0],k[1]]
F[51,x,k[0],k[1]] = F[26,x,k[0]]*F[52,x,k[0],k[1]]
F[52,x,k[0],k[1]] = -k[1]*(F[31,x,k[0],1]-F[31,x,k[0],k[1]])/(-1+k[1])
F[54,x,k[0],k[1]] = F[53,x,k[0],k[0]*k[1]]
F[54,x,k[0],k[1]] = F[13,k[0]*x,k[1]]
F[55,x,k[0]] = F[34,x,k[0]]*F[56,x,k[0]]
F[56,x,k[0]] = F[15,x,k[0],1]
F[57,x,k[0],k[1]] = F[23,x,k[0],k[0]*k[1]]
F[58,x,k[0]] = F[39,x,k[0]]*F[47,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_{47}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x , 1\right)
F_{5}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{6}\! \left(x , y\right)
F_{6}\! \left(x , y\right) = F_{58}\! \left(x , y\right)+F_{7}\! \left(x \right)+F_{8}\! \left(x , y\right)
F_{7}\! \left(x \right) = 0
F_{8}\! \left(x , y\right) = F_{34}\! \left(x , y\right) F_{9}\! \left(x , y\right)
F_{9}\! \left(x , y\right) = F_{10}\! \left(x , y , 1\right)
F_{10}\! \left(x , y , z\right) = F_{11}\! \left(x , y , z\right)+F_{57}\! \left(x , y , z\right)
F_{11}\! \left(x , y , z\right) = F_{12}\! \left(y x , z\right)
F_{12}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{13}\! \left(x , y\right)+F_{55}\! \left(x , y\right)
F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{47}\! \left(x \right)
F_{14}\! \left(x , y\right) = F_{15}\! \left(x , 1, y\right)
F_{15}\! \left(x , y , z\right) = F_{12}\! \left(x , y\right)+F_{16}\! \left(x , y , z\right)
F_{16}\! \left(x , y , z\right) = F_{17}\! \left(x , y , z\right)
F_{17}\! \left(x , y , z\right) = F_{12}\! \left(x , y\right) F_{18}\! \left(x , y , z\right) F_{34}\! \left(x , z\right)
F_{18}\! \left(x , y , z\right) = F_{19}\! \left(x , y , y z \right)
F_{20}\! \left(x , y , z\right) = F_{19}\! \left(x , y , z\right) F_{34}\! \left(x , z\right)
F_{21}\! \left(x , y , z\right) = F_{1}\! \left(x \right)+F_{20}\! \left(x , y , z\right)+F_{53}\! \left(x , y , z\right)
F_{22}\! \left(x , y , z\right) = F_{21}\! \left(x , y , z\right)+F_{23}\! \left(x , y , z\right)
F_{10}\! \left(x , y , z\right) = F_{22}\! \left(x , y , y z \right)
F_{23}\! \left(x , y , z\right) = F_{24}\! \left(x , y\right)+F_{48}\! \left(x , y , z\right)
F_{24}\! \left(x , y\right) = F_{25}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{26}\! \left(x , y\right) F_{27}\! \left(x , y\right) F_{47}\! \left(x \right)
F_{26}\! \left(x , y\right) = x F_{26}\! \left(x , y\right) y +F_{26}\! \left(x , y\right)^{2}-2 F_{26}\! \left(x , y\right)+2
F_{27}\! \left(x , y\right) = F_{28}\! \left(x , y , 1\right)
F_{28}\! \left(x , y , z\right) = F_{29}\! \left(x , y\right)+F_{31}\! \left(x , y , z\right)
F_{29}\! \left(x , y\right) = F_{30}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{0}\! \left(x \right) F_{26}\! \left(x , y\right)
F_{31}\! \left(x , y , z\right) = F_{32}\! \left(x , y , z\right)+F_{35}\! \left(x , y , z\right)
F_{32}\! \left(x , y , z\right) = F_{33}\! \left(x , y , z\right)
F_{33}\! \left(x , y , z\right) = F_{19}\! \left(x , y , z\right) F_{26}\! \left(x , y\right) F_{34}\! \left(x , z\right)
F_{34}\! \left(x , y\right) = y x
F_{35}\! \left(x , y , z\right) = F_{36}\! \left(x , y , z\right)
F_{36}\! \left(x , y , z\right) = F_{37}\! \left(x , y , z\right) F_{47}\! \left(x \right)
F_{37}\! \left(x , y , z\right) = F_{38}\! \left(x , y , z\right)+F_{40}\! \left(x , y , z\right)
F_{38}\! \left(x , y , z\right) = F_{26}\! \left(x , y\right) F_{39}\! \left(x , z\right)
F_{39}\! \left(x , y\right) = -\frac{y \left(F_{6}\! \left(x , 1\right)-F_{6}\! \left(x , y\right)\right)}{-1+y}
F_{40}\! \left(x , y , z\right) = F_{41}\! \left(x , y , z\right)
F_{41}\! \left(x , y , z\right) = F_{34}\! \left(x , z\right) F_{42}\! \left(x , y , z\right) F_{44}\! \left(x , z\right)
F_{43}\! \left(x , y , z\right) = F_{34}\! \left(x , z\right) F_{42}\! \left(x , y , z\right)
F_{43}\! \left(x , y , z\right) = F_{32}\! \left(x , y , z\right)
F_{44}\! \left(x , y\right) = F_{45}\! \left(x , y , 1\right)
F_{45}\! \left(x , y , z\right) = F_{46}\! \left(x , y , y z \right)
F_{46}\! \left(x , y , z\right) = -\frac{-z F_{28}\! \left(x , y , z\right)+F_{28}\! \left(x , y , 1\right)}{-1+z}
F_{47}\! \left(x \right) = x
F_{48}\! \left(x , y , z\right) = F_{49}\! \left(x , y , z\right)
F_{49}\! \left(x , y , z\right) = F_{47}\! \left(x \right) F_{50}\! \left(x , y , z\right)
F_{50}\! \left(x , y , z\right) = F_{40}\! \left(x , y , z\right)+F_{51}\! \left(x , y , z\right)
F_{51}\! \left(x , y , z\right) = F_{26}\! \left(x , y\right) F_{52}\! \left(x , y , z\right)
F_{52}\! \left(x , y , z\right) = -\frac{z \left(F_{31}\! \left(x , y , 1\right)-F_{31}\! \left(x , y , z\right)\right)}{-1+z}
F_{54}\! \left(x , y , z\right) = F_{53}\! \left(x , y , y z \right)
F_{54}\! \left(x , y , z\right) = F_{13}\! \left(y x , z\right)
F_{55}\! \left(x , y\right) = F_{34}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = F_{15}\! \left(x , y , 1\right)
F_{57}\! \left(x , y , z\right) = F_{23}\! \left(x , y , y z \right)
F_{58}\! \left(x , y\right) = F_{39}\! \left(x , y\right) F_{47}\! \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_47(x))
Eq(F_4(x), F_5(x, 1))
Eq(F_5(x, k_0), F_0(x) + F_6(x, k_0))
Eq(F_6(x, k_0), F_58(x, k_0) + F_7(x) + F_8(x, k_0))
Eq(F_7(x), 0)
Eq(F_8(x, k_0), F_34(x, k_0)*F_9(x, k_0))
Eq(F_9(x, k_0), F_10(x, k_0, 1))
Eq(F_10(x, k_0, k_1), F_11(x, k_0, k_1) + F_57(x, k_0, k_1))
Eq(F_11(x, k_0, k_1), F_12(k_0*x, k_1))
Eq(F_12(x, k_0), F_1(x) + F_13(x, k_0) + F_55(x, k_0))
Eq(F_13(x, k_0), F_14(x, k_0)*F_47(x))
Eq(F_14(x, k_0), F_15(x, 1, k_0))
Eq(F_15(x, k_0, k_1), F_12(x, k_0) + F_16(x, k_0, k_1))
Eq(F_16(x, k_0, k_1), F_17(x, k_0, k_1))
Eq(F_17(x, k_0, k_1), F_12(x, k_0)*F_18(x, k_0, k_1)*F_34(x, k_1))
Eq(F_18(x, k_0, k_1), F_19(x, k_0, k_0*k_1))
Eq(F_20(x, k_0, k_1), F_19(x, k_0, k_1)*F_34(x, k_1))
Eq(F_21(x, k_0, k_1), F_1(x) + F_20(x, k_0, k_1) + F_53(x, k_0, k_1))
Eq(F_22(x, k_0, k_1), F_21(x, k_0, k_1) + F_23(x, k_0, k_1))
Eq(F_10(x, k_0, k_1), F_22(x, k_0, k_0*k_1))
Eq(F_23(x, k_0, k_1), F_24(x, k_0) + F_48(x, k_0, k_1))
Eq(F_24(x, k_0), F_25(x, k_0))
Eq(F_25(x, k_0), F_26(x, k_0)*F_27(x, k_0)*F_47(x))
Eq(F_26(x, k_0), (k_0*x - 2)*F_26(x, k_0) + F_26(x, k_0)**2 + 2)
Eq(F_27(x, k_0), F_28(x, k_0, 1))
Eq(F_28(x, k_0, k_1), F_29(x, k_0) + F_31(x, k_0, k_1))
Eq(F_29(x, k_0), F_30(x, k_0))
Eq(F_30(x, k_0), F_0(x)*F_26(x, k_0))
Eq(F_31(x, k_0, k_1), F_32(x, k_0, k_1) + F_35(x, k_0, k_1))
Eq(F_32(x, k_0, k_1), F_33(x, k_0, k_1))
Eq(F_33(x, k_0, k_1), F_19(x, k_0, k_1)*F_26(x, k_0)*F_34(x, k_1))
Eq(F_34(x, k_0), k_0*x)
Eq(F_35(x, k_0, k_1), F_36(x, k_0, k_1))
Eq(F_36(x, k_0, k_1), F_37(x, k_0, k_1)*F_47(x))
Eq(F_37(x, k_0, k_1), F_38(x, k_0, k_1) + F_40(x, k_0, k_1))
Eq(F_38(x, k_0, k_1), F_26(x, k_0)*F_39(x, k_1))
Eq(F_39(x, k_0), -F_6(x, 1) + (-k_0*F_6(x, k_0) + F_6(x, 1))/(1 - k_0))
Eq(F_40(x, k_0, k_1), F_41(x, k_0, k_1))
Eq(F_41(x, k_0, k_1), F_34(x, k_1)*F_42(x, k_0, k_1)*F_44(x, k_1))
Eq(F_43(x, k_0, k_1), F_34(x, k_1)*F_42(x, k_0, k_1))
Eq(F_43(x, k_0, k_1), F_32(x, k_0, k_1))
Eq(F_44(x, k_0), F_45(x, k_0, 1))
Eq(F_45(x, k_0, k_1), F_46(x, k_0, k_0*k_1))
Eq(F_46(x, k_0, k_1), (-k_1*F_28(x, k_0, k_1) + F_28(x, k_0, 1))/(1 - k_1))
Eq(F_47(x), x)
Eq(F_48(x, k_0, k_1), F_49(x, k_0, k_1))
Eq(F_49(x, k_0, k_1), F_47(x)*F_50(x, k_0, k_1))
Eq(F_50(x, k_0, k_1), F_40(x, k_0, k_1) + F_51(x, k_0, k_1))
Eq(F_51(x, k_0, k_1), F_26(x, k_0)*F_52(x, k_0, k_1))
Eq(F_52(x, k_0, k_1), -F_31(x, k_0, 1) + (-k_1*F_31(x, k_0, k_1) + F_31(x, k_0, 1))/(1 - k_1))
Eq(F_54(x, k_0, k_1), F_53(x, k_0, k_0*k_1))
Eq(F_54(x, k_0, k_1), F_13(k_0*x, k_1))
Eq(F_55(x, k_0), F_34(x, k_0)*F_56(x, k_0))
Eq(F_56(x, k_0), F_15(x, k_0, 1))
Eq(F_57(x, k_0, k_1), F_23(x, k_0, k_0*k_1))
Eq(F_58(x, k_0), F_39(x, k_0)*F_47(x))
Pack JSON:
{"name": "point_and_row_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": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1]], "symmetry": true}, {"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": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1]]}], "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": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 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, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, 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