02314_02341_02431_03124_03142_03214_03241_03412_03421_04231_04312_04321

Counting sequence:
1, 1, 2, 6, 24, 108, 517, 2569, 13075, 67630, 353808, 1866263, 9904742, 52813400, 282632385, 1516855703, 8159487125, 43973277952, 237342931619, 1282658253737, 6939084677729, 37573125293709, 203599880581490, 1103963467053957, 5989206120234511, 32507855252945125, 176516131430569998, 958814086529075117, 5209772874699814694, 28315284867559698951, 153931194226807638391, 836996626069295190480, 4551993440366038625929, 24760037479867082143282, 134699135764999457900284, 732884042886812984407322, 3988013633606651716083395, 21703192383465083962278388, 118122209931744983109140445, 642948743800383971100181293, 3499889616564564840020361495, 19052954119213523567760469097, 103728334780880668507325118860, 564751045699097974344120427011, 3074956331551919678536120117299, 16743301226961763186637993344072, 91172030648596732367264534553710, 496476756437745975898237773212290, 2703656366206370124574439128184504, 14723735596563643815609489101382738, 80185764325681389895705291503998508, 436705032337630039092877460430840479, 2378426842580558126600537230423315536, 12953919282157720736789273353262795627, 70553986226529830002320803933679241330, 384282115036870124246742005490368340403, 2093082605870960986001535743047761765461, 11400648014116024486604589611280056019935, 62098216201669049243305584509244617435443, 338247524178726389444328566048912796861982, 1842449445089179901098539734999453168404256, 10036021064260312210515668722576959635537561, 54667874980075494555179094905340377480909256, 297787944246018137906187884438252112347688409, 1622131273291787020339252301050701587489139242, 8836261334967540549628390163185311881016878488, 48134282465624185166609267851969113249176537814, 262206586921534283866490262036345920098257063972, 1428353182105789271321515113485282813092382831832, 7780908662678602122192145843359395518539590639705, 42386497745032655312303470947837119955205715306401, 230901670853628017129137297389491686411944005147283, 1257849775151728272198403313001946308946240084880574, 6852238693252670194679340538073608174648980416267837, 37328286367306625678897422795092548628724180438761354, 203350552314355432523537673932992795752116463281768036, 1107781915999250739745811378763708309809868944894176668, 6034825071235257583608007020065376228023817389345172943, 32875812641576044476095506512478882904103857339037243862, 179097534687139734289718944878951701024917079549393525252, 975672198278343571913343644283629025460219026793929841543, 5315197188074042163189096437974511965176471500631858250143, 28955821080333773419647038459885917817270607708530801985196, 157744188888985485497669703536297008420043793091330481826364, 859353341105326990777353583268893826161587625203523608855437, 4681564646414272327705882338897421779263335604691349480120056, 25504163126913138220156739220490418097627186894424977766505092, 138941465433610360132980908025156240663028018237546238908961597, 756925904647658444244982757537760342874412202881607635441752183, 4123590326874584769779863500593999135524835824776868659315674961, 22464577936377863937266604639885452519150003903384939818408259606, 122383137521220993942659793432884592681381686638061521761947674074, 666722994560478945884845637683760240774321353270986492973323971157, 3632200229481548894136429920949520719317643585011031790399110947309, 19787667054518627260939380967646221275207379271927090882925809592864, 107800268466974577930072960170679842395783130830861231874786371012029, 587280387934154468850150969828596134877889307037582399478564994667342, 3199422060328030903090456752826512177632702642125654162612160215380651, 17430021762670004607719375154855755996686673632209449622884517628315284, 94956491233069193664724555897569339080708084409293500919637708418350225, 517310985755440862515131228394918587935332860819314867944957009976437508

Specification 1
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/24794/
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[21,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]+F[7,x]
F[6,x] = x*(1+F[6,x])*(F[6,x]^2+F[6,x]+1)
F[7,x] = F[8,x]
F[8,x] = F[21,x]*F[9,x]
F[9,x] = F[10,x]+F[11,x]
F[10,x] = F[4,x]*F[6,x]
F[11,x] = F[12,x]+F[203,x]
F[12,x] = F[13,x]+F[174,x]
F[13,x] = F[14,x]
F[14,x] = F[15,x]*F[21,x]
F[15,x] = -F[171,x]+F[16,x]
F[16,x] = 1/F[21,x]*F[17,x]
F[17,x] = F[18,x]
F[18,x] = F[19,x]+F[22,x]
F[19,x] = F[20,x]*F[6,x]
F[20,x] = F[1,x]+F[21,x]
F[21,x] = x
F[22,x] = F[23,x]
F[23,x] = F[21,x]*F[24,x]
F[24,x] = F[166,x]+F[25,x]
F[25,x] = F[163,x]+F[26,x]
F[26,x] = F[27,x]*F[4,x]
F[27,x] = F[28,x]+F[6,x]
F[28,x] = -F[34,x]+F[29,x]
F[29,x] = 1/F[21,x]/F[6,x]*F[30,x]
F[30,x] = F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[21,x]*F[33,x]*F[47,x]
F[33,x] = F[34,x]+F[35,x]
F[34,x] = 1+(F[34,x]^3-F[34,x]^2+F[34,x])*x
F[35,x] = F[36,x]
F[36,x] = F[21,x]*F[37,x]
F[37,x] = 1/F[21,x]*F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[40,x]+F[6,x]
F[40,x] = F[41,x]
F[41,x] = F[21,x]*F[42,x]*F[45,x]
F[42,x] = F[34,x]+F[43,x]
F[43,x] = F[44,x]
F[44,x] = F[34,x]^2*F[21,x]*F[42,x]
F[45,x] = F[46,x]+F[6,x]
F[46,x] = F[34,x]*F[6,x]
F[47,x] = F[21,x]+F[48,x]
F[48,x] = F[49,x]
F[49,x] = F[21,x]*F[50,x]
F[50,x] = F[159,x]+F[51,x]
F[51,x] = F[52,x]+F[53,x]
F[52,x] = F[21,x]*F[34,x]
F[53,x] = F[48,x]+F[54,x]
F[54,x] = F[55,x]
F[55,x] = F[156,x]*F[21,x]*F[56,x]
F[56,x] = F[48,x]+F[57,x]
F[57,x] = F[58,x]
F[58,x] = F[21,x]*F[59,x]
F[59,x] = F[155,x]+F[60,x]
F[60,x] = F[34,x]*F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[21,x]*F[63,x]
F[63,x] = 1/F[34,x]*F[64,x]
F[64,x] = -F[147,x]+F[65,x]
F[65,x] = -F[146,x]+F[66,x]
F[66,x] = 1/F[21,x]*F[67,x]
F[67,x] = F[68,x]
F[68,x] = F[69,x]+F[74,x]
F[69,x] = -F[73,x]+F[70,x]
F[70,x] = F[29,x]+F[71,x]
F[71,x] = F[72,x]
F[72,x] = F[21,x]*F[29,x]*F[34,x]*F[42,x]
F[73,x] = F[34,x]^2
F[74,x] = F[75,x]
F[75,x] = F[21,x]*F[76,x]
F[76,x] = F[143,x]+F[77,x]
F[77,x] = 1/F[21,x]*F[78,x]
F[78,x] = F[79,x]
F[79,x] = F[80,x]
F[80,x] = -F[142,x]+F[81,x]
F[81,x] = -F[84,x]+F[82,x]
F[82,x] = 1/F[21,x]*F[83,x]
F[83,x] = F[7,x]
F[84,x] = F[85,x]
F[85,x] = F[21,x]*F[86,x]
F[86,x] = 1/F[21,x]*F[87,x]
F[87,x] = F[88,x]
F[88,x] = F[101,x]+F[89,x]
F[89,x] = F[2,x]*F[90,x]
F[90,x] = 1/F[0,x]*F[91,x]
F[91,x] = -F[94,x]+F[92,x]
F[92,x] = 1/F[21,x]*F[93,x]
F[93,x] = F[5,x]
F[94,x] = F[101,x]+F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[21,x]*F[97,x]
F[97,x] = F[77,x]+F[98,x]
F[98,x] = F[63,x]+F[99,x]
F[99,x] = F[100,x]
F[100,x] = F[21,x]*F[29,x]*F[90,x]
F[101,x] = F[102,x]
F[102,x] = F[103,x]*F[21,x]
F[103,x] = F[104,x]+F[132,x]
F[104,x] = F[105,x]+F[107,x]
F[105,x] = F[106,x]*F[63,x]
F[106,x] = F[2,x]+F[5,x]
F[107,x] = F[108,x]+F[112,x]
F[108,x] = F[109,x]
F[109,x] = F[106,x]*F[110,x]*F[21,x]
F[110,x] = 1/F[21,x]*F[111,x]
F[111,x] = F[77,x]
F[112,x] = F[113,x]
F[113,x] = F[110,x]*F[114,x]*F[21,x]
F[114,x] = F[115,x]
F[115,x] = F[116,x]*F[21,x]
F[116,x] = F[117,x]+F[122,x]
F[117,x] = F[118,x]+F[119,x]
F[118,x] = F[4,x]*F[90,x]
F[119,x] = F[120,x]
F[120,x] = F[121,x]*F[21,x]*F[63,x]
F[121,x] = F[114,x]+F[4,x]
F[122,x] = F[123,x]
F[123,x] = F[124,x]*F[21,x]*F[34,x]*F[90,x]
F[124,x] = F[125,x]+F[42,x]
F[125,x] = -F[128,x]+F[126,x]
F[126,x] = 1/F[21,x]*F[127,x]
F[127,x] = F[7,x]
F[128,x] = F[129,x]
F[129,x] = F[130,x]*F[21,x]
F[130,x] = 1/F[21,x]*F[131,x]
F[131,x] = F[114,x]
F[132,x] = F[133,x]
F[133,x] = F[134,x]+F[135,x]
F[134,x] = F[2,x]*F[99,x]
F[135,x] = F[136,x]
F[136,x] = F[137,x]*F[21,x]*F[29,x]*F[90,x]
F[137,x] = F[13,x]+F[138,x]
F[138,x] = F[139,x]+F[43,x]
F[139,x] = -F[140,x]+F[125,x]
F[140,x] = F[141,x]
F[141,x] = F[21,x]*F[29,x]*F[4,x]
F[142,x] = F[28,x]+F[31,x]
F[143,x] = F[144,x]
F[144,x] = F[110,x]*F[145,x]*F[21,x]
F[145,x] = F[39,x]+F[6,x]
F[146,x] = F[76,x]
F[147,x] = F[148,x]
F[148,x] = -F[149,x]+F[66,x]
F[149,x] = F[150,x]+F[153,x]
F[150,x] = 1/F[21,x]*F[151,x]
F[151,x] = F[152,x]
F[152,x] = F[28,x]+F[79,x]
F[153,x] = F[143,x]+F[154,x]
F[154,x] = F[6,x]*F[63,x]
F[155,x] = F[47,x]*F[90,x]
F[156,x] = F[157,x]+F[34,x]
F[157,x] = F[158,x]
F[158,x] = F[34,x]^2*F[156,x]*F[21,x]
F[159,x] = F[160,x]+F[161,x]
F[160,x] = F[21,x]*F[34,x]
F[161,x] = F[162,x]
F[162,x] = F[34,x]^2*F[21,x]*F[50,x]
F[163,x] = F[164,x]*F[6,x]
F[164,x] = F[165,x]
F[165,x] = F[121,x]*F[21,x]
F[166,x] = F[167,x]*F[6,x]
F[167,x] = F[160,x]+F[168,x]
F[168,x] = F[169,x]
F[169,x] = F[170,x]*F[21,x]
F[170,x] = F[138,x]+F[140,x]
F[171,x] = F[172,x]
F[172,x] = F[173,x]
F[173,x] = F[21,x]*F[4,x]*F[42,x]
F[174,x] = F[175,x]
F[175,x] = F[176,x]*F[21,x]
F[176,x] = F[177,x]+F[197,x]
F[177,x] = F[178,x]
F[178,x] = F[0,x]*F[179,x]
F[179,x] = -F[196,x]+F[180,x]
F[180,x] = 1/F[21,x]/F[4,x]*F[181,x]
F[181,x] = F[182,x]
F[182,x] = -F[195,x]+F[183,x]
F[183,x] = -F[156,x]+F[184,x]
F[184,x] = -F[190,x]+F[185,x]
F[185,x] = -F[188,x]+F[186,x]
F[186,x] = 1/F[21,x]*F[187,x]
F[187,x] = F[18,x]
F[188,x] = F[189,x]
F[189,x] = F[156,x]*F[21,x]*F[4,x]
F[190,x] = F[159,x]+F[191,x]
F[191,x] = F[192,x]
F[192,x] = F[106,x]*F[193,x]*F[21,x]
F[193,x] = 1/F[21,x]/F[4,x]*F[194,x]
F[194,x] = F[190,x]
F[195,x] = F[2,x]*F[34,x]
F[196,x] = -F[34,x]+F[156,x]
F[197,x] = F[198,x]
F[198,x] = F[199,x]*F[202,x]*F[21,x]
F[199,x] = F[172,x]+F[200,x]
F[200,x] = F[201,x]*F[34,x]
F[201,x] = -F[172,x]+F[15,x]
F[202,x] = F[156,x]+F[179,x]
F[203,x] = F[204,x]
F[204,x] = F[205,x]*F[21,x]
F[205,x] = F[206,x]+F[208,x]
F[206,x] = F[112,x]+F[207,x]
F[207,x] = F[5,x]*F[63,x]
F[208,x] = F[209,x]
F[209,x] = F[135,x]+F[210,x]
F[210,x] = F[0,x]*F[99,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_{21}\! \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 \right)+F_{7}\! \left(x \right)
F_{6}\! \left(x \right) = x F_{6} \left(x \right)^{3}+2 x F_{6} \left(x \right)^{2}+2 F_{6}\! \left(x \right) x +x
F_{7}\! \left(x \right) = F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{21}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{11}\! \left(x \right)
F_{10}\! \left(x \right) = F_{4}\! \left(x \right) F_{6}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{203}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{174}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{21}\! \left(x \right)
F_{15}\! \left(x \right) = -F_{171}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = \frac{F_{17}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{22}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right) F_{6}\! \left(x \right)
F_{20}\! \left(x \right) = F_{1}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = x
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{21}\! \left(x \right) F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{166}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{163}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right) F_{4}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{6}\! \left(x \right)
F_{28}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{21}\! \left(x \right) F_{6}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{21}\! \left(x \right) F_{33}\! \left(x \right) F_{47}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{35}\! \left(x \right)
F_{34}\! \left(x \right) = x F_{34} \left(x \right)^{3}-x F_{34} \left(x \right)^{2}+x F_{34}\! \left(x \right)+1
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{21}\! \left(x \right) F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = \frac{F_{38}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{6}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{21}\! \left(x \right) F_{42}\! \left(x \right) F_{45}\! \left(x \right)
F_{42}\! \left(x \right) = F_{34}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{34} \left(x \right)^{2} F_{21}\! \left(x \right) F_{42}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{6}\! \left(x \right)
F_{46}\! \left(x \right) = F_{34}\! \left(x \right) F_{6}\! \left(x \right)
F_{47}\! \left(x \right) = F_{21}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{21}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{159}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{53}\! \left(x \right)
F_{52}\! \left(x \right) = F_{21}\! \left(x \right) F_{34}\! \left(x \right)
F_{53}\! \left(x \right) = F_{48}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{156}\! \left(x \right) F_{21}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{48}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{21}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{155}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{34}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{21}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = \frac{F_{64}\! \left(x \right)}{F_{34}\! \left(x \right)}
F_{64}\! \left(x \right) = -F_{147}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = -F_{146}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = \frac{F_{67}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{74}\! \left(x \right)
F_{69}\! \left(x \right) = -F_{73}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{29}\! \left(x \right)+F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{21}\! \left(x \right) F_{29}\! \left(x \right) F_{34}\! \left(x \right) F_{42}\! \left(x \right)
F_{73}\! \left(x \right) = F_{34} \left(x \right)^{2}
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{21}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{143}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = \frac{F_{78}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = -F_{142}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = -F_{84}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = \frac{F_{83}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{83}\! \left(x \right) = F_{7}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{21}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{101}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{2}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = \frac{F_{91}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{91}\! \left(x \right) = -F_{94}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = \frac{F_{93}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{93}\! \left(x \right) = F_{5}\! \left(x \right)
F_{94}\! \left(x \right) = F_{101}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{21}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{77}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{63}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{21}\! \left(x \right) F_{29}\! \left(x \right) F_{90}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{21}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{132}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{107}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right) F_{63}\! \left(x \right)
F_{106}\! \left(x \right) = F_{2}\! \left(x \right)+F_{5}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{112}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{106}\! \left(x \right) F_{110}\! \left(x \right) F_{21}\! \left(x \right)
F_{110}\! \left(x \right) = \frac{F_{111}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{111}\! \left(x \right) = F_{77}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{110}\! \left(x \right) F_{114}\! \left(x \right) F_{21}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{21}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)+F_{122}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{119}\! \left(x \right)
F_{118}\! \left(x \right) = F_{4}\! \left(x \right) F_{90}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{21}\! \left(x \right) F_{63}\! \left(x \right)
F_{121}\! \left(x \right) = F_{114}\! \left(x \right)+F_{4}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right) F_{21}\! \left(x \right) F_{34}\! \left(x \right) F_{90}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{42}\! \left(x \right)
F_{125}\! \left(x \right) = -F_{128}\! \left(x \right)+F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = \frac{F_{127}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{127}\! \left(x \right) = F_{7}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right) F_{21}\! \left(x \right)
F_{130}\! \left(x \right) = \frac{F_{131}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{131}\! \left(x \right) = F_{114}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{135}\! \left(x \right)
F_{134}\! \left(x \right) = F_{2}\! \left(x \right) F_{99}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{21}\! \left(x \right) F_{29}\! \left(x \right) F_{90}\! \left(x \right)
F_{137}\! \left(x \right) = F_{13}\! \left(x \right)+F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)+F_{43}\! \left(x \right)
F_{139}\! \left(x \right) = -F_{140}\! \left(x \right)+F_{125}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{21}\! \left(x \right) F_{29}\! \left(x \right) F_{4}\! \left(x \right)
F_{142}\! \left(x \right) = F_{28}\! \left(x \right)+F_{31}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{110}\! \left(x \right) F_{145}\! \left(x \right) F_{21}\! \left(x \right)
F_{145}\! \left(x \right) = F_{39}\! \left(x \right)+F_{6}\! \left(x \right)
F_{146}\! \left(x \right) = F_{76}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = -F_{149}\! \left(x \right)+F_{66}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)+F_{153}\! \left(x \right)
F_{150}\! \left(x \right) = \frac{F_{151}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{28}\! \left(x \right)+F_{79}\! \left(x \right)
F_{153}\! \left(x \right) = F_{143}\! \left(x \right)+F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{6}\! \left(x \right) F_{63}\! \left(x \right)
F_{155}\! \left(x \right) = F_{47}\! \left(x \right) F_{90}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{34}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{34} \left(x \right)^{2} F_{156}\! \left(x \right) F_{21}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{161}\! \left(x \right)
F_{160}\! \left(x \right) = F_{21}\! \left(x \right) F_{34}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{34} \left(x \right)^{2} F_{21}\! \left(x \right) F_{50}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right) F_{6}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = F_{121}\! \left(x \right) F_{21}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{6}\! \left(x \right)
F_{167}\! \left(x \right) = F_{160}\! \left(x \right)+F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right) F_{21}\! \left(x \right)
F_{170}\! \left(x \right) = F_{138}\! \left(x \right)+F_{140}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right) F_{42}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right) F_{21}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)+F_{197}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{0}\! \left(x \right) F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = -F_{196}\! \left(x \right)+F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = \frac{F_{181}\! \left(x \right)}{F_{21}\! \left(x \right) F_{4}\! \left(x \right)}
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = -F_{195}\! \left(x \right)+F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = -F_{156}\! \left(x \right)+F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = -F_{190}\! \left(x \right)+F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = -F_{188}\! \left(x \right)+F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = \frac{F_{187}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{187}\! \left(x \right) = F_{18}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{156}\! \left(x \right) F_{21}\! \left(x \right) F_{4}\! \left(x \right)
F_{190}\! \left(x \right) = F_{159}\! \left(x \right)+F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{106}\! \left(x \right) F_{193}\! \left(x \right) F_{21}\! \left(x \right)
F_{193}\! \left(x \right) = \frac{F_{194}\! \left(x \right)}{F_{21}\! \left(x \right) F_{4}\! \left(x \right)}
F_{194}\! \left(x \right) = F_{190}\! \left(x \right)
F_{195}\! \left(x \right) = F_{2}\! \left(x \right) F_{34}\! \left(x \right)
F_{196}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{156}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right) F_{202}\! \left(x \right) F_{21}\! \left(x \right)
F_{199}\! \left(x \right) = F_{172}\! \left(x \right)+F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right) F_{34}\! \left(x \right)
F_{201}\! \left(x \right) = -F_{172}\! \left(x \right)+F_{15}\! \left(x \right)
F_{202}\! \left(x \right) = F_{156}\! \left(x \right)+F_{179}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right) F_{21}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)+F_{208}\! \left(x \right)
F_{206}\! \left(x \right) = F_{112}\! \left(x \right)+F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = F_{5}\! \left(x \right) F_{63}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{135}\! \left(x \right)+F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{0}\! \left(x \right) F_{99}\! \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_21(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x) + F_7(x))
Eq(F_6(x), x*(F_6(x) + 1)**3 - x*(F_6(x) + 1)**2 + (x - 1)*(F_6(x) + 1) + F_6(x) + 1)
Eq(F_7(x), F_8(x))
Eq(F_8(x), F_21(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_11(x))
Eq(F_10(x), F_4(x)*F_6(x))
Eq(F_11(x), F_12(x) + F_203(x))
Eq(F_12(x), F_13(x) + F_174(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x)*F_21(x))
Eq(F_15(x), F_16(x) - F_171(x))
Eq(F_16(x), F_17(x)/F_21(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_19(x) + F_22(x))
Eq(F_19(x), F_20(x)*F_6(x))
Eq(F_20(x), F_1(x) + F_21(x))
Eq(F_21(x), x)
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_21(x)*F_24(x))
Eq(F_24(x), F_166(x) + F_25(x))
Eq(F_25(x), F_163(x) + F_26(x))
Eq(F_26(x), F_27(x)*F_4(x))
Eq(F_27(x), F_28(x) + F_6(x))
Eq(F_28(x), F_29(x) - F_34(x))
Eq(F_29(x), F_30(x)/(F_21(x)*F_6(x)))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_21(x)*F_33(x)*F_47(x))
Eq(F_33(x), F_34(x) + F_35(x))
Eq(F_34(x), x*F_34(x)**3 - x*F_34(x)**2 + x*F_34(x) + 1)
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_21(x)*F_37(x))
Eq(F_37(x), F_38(x)/F_21(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_40(x) + F_6(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_21(x)*F_42(x)*F_45(x))
Eq(F_42(x), F_34(x) + F_43(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_21(x)*F_34(x)**2*F_42(x))
Eq(F_45(x), F_46(x) + F_6(x))
Eq(F_46(x), F_34(x)*F_6(x))
Eq(F_47(x), F_21(x) + F_48(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_21(x)*F_50(x))
Eq(F_50(x), F_159(x) + F_51(x))
Eq(F_51(x), F_52(x) + F_53(x))
Eq(F_52(x), F_21(x)*F_34(x))
Eq(F_53(x), F_48(x) + F_54(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_156(x)*F_21(x)*F_56(x))
Eq(F_56(x), F_48(x) + F_57(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_21(x)*F_59(x))
Eq(F_59(x), F_155(x) + F_60(x))
Eq(F_60(x), F_34(x)*F_61(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_21(x)*F_63(x))
Eq(F_63(x), F_64(x)/F_34(x))
Eq(F_64(x), -F_147(x) + F_65(x))
Eq(F_65(x), -F_146(x) + F_66(x))
Eq(F_66(x), F_67(x)/F_21(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_69(x) + F_74(x))
Eq(F_69(x), F_70(x) - F_73(x))
Eq(F_70(x), F_29(x) + F_71(x))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_21(x)*F_29(x)*F_34(x)*F_42(x))
Eq(F_73(x), F_34(x)**2)
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_21(x)*F_76(x))
Eq(F_76(x), F_143(x) + F_77(x))
Eq(F_77(x), F_78(x)/F_21(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_80(x))
Eq(F_80(x), -F_142(x) + F_81(x))
Eq(F_81(x), F_82(x) - F_84(x))
Eq(F_82(x), F_83(x)/F_21(x))
Eq(F_83(x), F_7(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_21(x)*F_86(x))
Eq(F_86(x), F_87(x)/F_21(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), F_101(x) + F_89(x))
Eq(F_89(x), F_2(x)*F_90(x))
Eq(F_90(x), F_91(x)/F_0(x))
Eq(F_91(x), F_92(x) - F_94(x))
Eq(F_92(x), F_93(x)/F_21(x))
Eq(F_93(x), F_5(x))
Eq(F_94(x), F_101(x) + F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_21(x)*F_97(x))
Eq(F_97(x), F_77(x) + F_98(x))
Eq(F_98(x), F_63(x) + F_99(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_21(x)*F_29(x)*F_90(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_103(x)*F_21(x))
Eq(F_103(x), F_104(x) + F_132(x))
Eq(F_104(x), F_105(x) + F_107(x))
Eq(F_105(x), F_106(x)*F_63(x))
Eq(F_106(x), F_2(x) + F_5(x))
Eq(F_107(x), F_108(x) + F_112(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_106(x)*F_110(x)*F_21(x))
Eq(F_110(x), F_111(x)/F_21(x))
Eq(F_111(x), F_77(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_110(x)*F_114(x)*F_21(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x)*F_21(x))
Eq(F_116(x), F_117(x) + F_122(x))
Eq(F_117(x), F_118(x) + F_119(x))
Eq(F_118(x), F_4(x)*F_90(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_121(x)*F_21(x)*F_63(x))
Eq(F_121(x), F_114(x) + F_4(x))
Eq(F_122(x), F_123(x))
Eq(F_123(x), F_124(x)*F_21(x)*F_34(x)*F_90(x))
Eq(F_124(x), F_125(x) + F_42(x))
Eq(F_125(x), F_126(x) - F_128(x))
Eq(F_126(x), F_127(x)/F_21(x))
Eq(F_127(x), F_7(x))
Eq(F_128(x), F_129(x))
Eq(F_129(x), F_130(x)*F_21(x))
Eq(F_130(x), F_131(x)/F_21(x))
Eq(F_131(x), F_114(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_134(x) + F_135(x))
Eq(F_134(x), F_2(x)*F_99(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_137(x)*F_21(x)*F_29(x)*F_90(x))
Eq(F_137(x), F_13(x) + F_138(x))
Eq(F_138(x), F_139(x) + F_43(x))
Eq(F_139(x), F_125(x) - F_140(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_21(x)*F_29(x)*F_4(x))
Eq(F_142(x), F_28(x) + F_31(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_110(x)*F_145(x)*F_21(x))
Eq(F_145(x), F_39(x) + F_6(x))
Eq(F_146(x), F_76(x))
Eq(F_147(x), F_148(x))
Eq(F_148(x), -F_149(x) + F_66(x))
Eq(F_149(x), F_150(x) + F_153(x))
Eq(F_150(x), F_151(x)/F_21(x))
Eq(F_151(x), F_152(x))
Eq(F_152(x), F_28(x) + F_79(x))
Eq(F_153(x), F_143(x) + F_154(x))
Eq(F_154(x), F_6(x)*F_63(x))
Eq(F_155(x), F_47(x)*F_90(x))
Eq(F_156(x), F_157(x) + F_34(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_156(x)*F_21(x)*F_34(x)**2)
Eq(F_159(x), F_160(x) + F_161(x))
Eq(F_160(x), F_21(x)*F_34(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_21(x)*F_34(x)**2*F_50(x))
Eq(F_163(x), F_164(x)*F_6(x))
Eq(F_164(x), F_165(x))
Eq(F_165(x), F_121(x)*F_21(x))
Eq(F_166(x), F_167(x)*F_6(x))
Eq(F_167(x), F_160(x) + F_168(x))
Eq(F_168(x), F_169(x))
Eq(F_169(x), F_170(x)*F_21(x))
Eq(F_170(x), F_138(x) + F_140(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), F_173(x))
Eq(F_173(x), F_21(x)*F_4(x)*F_42(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_176(x)*F_21(x))
Eq(F_176(x), F_177(x) + F_197(x))
Eq(F_177(x), F_178(x))
Eq(F_178(x), F_0(x)*F_179(x))
Eq(F_179(x), F_180(x) - F_196(x))
Eq(F_180(x), F_181(x)/(F_21(x)*F_4(x)))
Eq(F_181(x), F_182(x))
Eq(F_182(x), F_183(x) - F_195(x))
Eq(F_183(x), -F_156(x) + F_184(x))
Eq(F_184(x), F_185(x) - F_190(x))
Eq(F_185(x), F_186(x) - F_188(x))
Eq(F_186(x), F_187(x)/F_21(x))
Eq(F_187(x), F_18(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), F_156(x)*F_21(x)*F_4(x))
Eq(F_190(x), F_159(x) + F_191(x))
Eq(F_191(x), F_192(x))
Eq(F_192(x), F_106(x)*F_193(x)*F_21(x))
Eq(F_193(x), F_194(x)/(F_21(x)*F_4(x)))
Eq(F_194(x), F_190(x))
Eq(F_195(x), F_2(x)*F_34(x))
Eq(F_196(x), F_156(x) - F_34(x))
Eq(F_197(x), F_198(x))
Eq(F_198(x), F_199(x)*F_202(x)*F_21(x))
Eq(F_199(x), F_172(x) + F_200(x))
Eq(F_200(x), F_201(x)*F_34(x))
Eq(F_201(x), F_15(x) - F_172(x))
Eq(F_202(x), F_156(x) + F_179(x))
Eq(F_203(x), F_204(x))
Eq(F_204(x), F_205(x)*F_21(x))
Eq(F_205(x), F_206(x) + F_208(x))
Eq(F_206(x), F_112(x) + F_207(x))
Eq(F_207(x), F_5(x)*F_63(x))
Eq(F_208(x), F_209(x))
Eq(F_209(x), F_135(x) + F_210(x))
Eq(F_210(x), F_0(x)*F_99(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 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, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "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, 1, 2], "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]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 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], "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, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 3], [2, 3], [2, 3]]}, {"patt": [0, 2, 1], "pos": [[2, 3], [2, 3], [2, 3]]}, {"patt": [1, 0, 2], "pos": [[2, 3], [2, 2], [2, 3]]}, {"patt": [1, 0, 2], "pos": [[2, 3], [2, 3], [2, 3]]}, {"patt": [1, 2, 0], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [1, 2, 0], "pos": [[2, 3], [2, 3], [2, 2]]}, {"patt": [1, 2, 0], "pos": [[2, 3], [2, 3], [2, 3]]}, {"patt": [2, 0, 1], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [2, 0, 1], "pos": [[2, 3], [2, 3], [2, 3]]}, {"patt": [2, 1, 0], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [2, 1, 0], "pos": [[2, 3], [2, 3], [2, 2]]}, {"patt": [2, 1, 0], "pos": [[2, 3], [2, 3], [2, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 0], [2, 3], [2, 0], [2, 3]]}, {"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, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 0], [2, 3], [2, 3], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 2], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 2], [2, 0], [2, 2]]}, {"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, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 0], [2, 3], [2, 3], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 1], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [1, 0, 2], "pos": [[1, 2], [1, 1], [1, 2]]}, {"patt": [1, 0, 2], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [1, 2, 0], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 2], [1, 1]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [2, 0, 1], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [2, 1, 0], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 2], [1, 1]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 2], [1, 0], [1, 2]]}, {"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, 1], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 1], [1, 1], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 1], [1, 0], [1, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 1], [1, 1], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 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[[2, 3], [2, 3]]}, {"patt": [1, 0], "pos": [[2, 3], [2, 3]]}, {"patt": [0, 1, 2], "pos": [[0, 2], [0, 4], [0, 4]]}, {"patt": [0, 2, 1], "pos": [[0, 2], [0, 4], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 2], [0, 4], [0, 4]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[3, 0]]}], [{"patt": [0], "pos": [[2, 3]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}, "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": [[1, 4]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 3]]}, {"patt": [0, 1], "pos": [[0, 4], [0, 4]]}, {"patt": [0, 1], "pos": [[0, 4], [2, 4]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1], "pos": [[2, 4], [2, 4]]}, {"patt": [1, 0], "pos": [[0, 4], [0, 4]]}, {"patt": [1, 0], "pos": [[0, 4], [2, 4]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[2, 4], [2, 4]]}, {"patt": [1, 2, 0], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [2, 0, 1], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [2, 1, 0], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"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, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 2], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 2], [2, 0], [2, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"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, 0], [2, 2], [2, 2], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[2, 4]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": false}}, {"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": [[0, 2]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 3]]}, {"patt": [0, 1], "pos": [[0, 4], [0, 4]]}, {"patt": [0, 1], "pos": [[0, 4], [2, 4]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1], "pos": [[2, 4], [2, 4]]}, {"patt": [1, 0], "pos": [[0, 4], [0, 4]]}, {"patt": [1, 0], "pos": [[0, 4], [2, 4]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[2, 4], [2, 4]]}, {"patt": [1, 2, 0], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [2, 0, 1], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [2, 1, 0], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"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, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 2], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 2], [2, 0], [2, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"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, 0], [2, 2], [2, 2], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[2, 4]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "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": [[0, 4]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0], "pos": [[1, 5]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 3]]}, {"patt": [0], "pos": [[2, 5]]}, {"patt": [0, 1], "pos": [[0, 5], [0, 5]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1], "pos": [[2, 4], [2, 4]]}, {"patt": [1, 0], "pos": [[0, 5], [0, 5]]}, {"patt": [1, 0], "pos": [[0, 5], [2, 4]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[2, 4], [2, 4]]}, {"patt": [1, 2, 0], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [2, 0, 1], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [2, 1, 0], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"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, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 2], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 2], [2, 0], [2, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"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, 0], [2, 2], [2, 2], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 5]]}, {"patt": [0], "pos": [[2, 4]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "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, 1, 2], "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, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}}, {"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, 1, 2], "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": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}}]}

Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/24932/
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[21,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]+F[7,x]
F[6,x] = x*(1+F[6,x])*(F[6,x]^2+F[6,x]+1)
F[7,x] = F[8,x]
F[8,x] = F[21,x]*F[9,x]
F[9,x] = F[10,x]+F[11,x]
F[10,x] = F[4,x]*F[6,x]
F[11,x] = F[12,x]+F[199,x]
F[12,x] = F[13,x]+F[170,x]
F[13,x] = F[14,x]
F[14,x] = F[15,x]*F[21,x]
F[15,x] = -F[167,x]+F[16,x]
F[16,x] = 1/F[21,x]*F[17,x]
F[17,x] = F[18,x]
F[18,x] = F[19,x]+F[22,x]
F[19,x] = F[20,x]*F[6,x]
F[20,x] = F[1,x]+F[21,x]
F[21,x] = x
F[22,x] = F[23,x]
F[23,x] = F[21,x]*F[24,x]
F[24,x] = F[164,x]+F[25,x]
F[25,x] = F[161,x]+F[26,x]
F[26,x] = F[27,x]*F[4,x]
F[27,x] = F[28,x]+F[6,x]
F[28,x] = -F[34,x]+F[29,x]
F[29,x] = 1/F[21,x]/F[6,x]*F[30,x]
F[30,x] = F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[21,x]*F[33,x]*F[47,x]
F[33,x] = F[34,x]+F[35,x]
F[34,x] = 1+(F[34,x]^3-F[34,x]^2+F[34,x])*x
F[35,x] = F[36,x]
F[36,x] = F[21,x]*F[37,x]
F[37,x] = 1/F[21,x]*F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[40,x]+F[6,x]
F[40,x] = F[41,x]
F[41,x] = F[21,x]*F[42,x]*F[45,x]
F[42,x] = F[34,x]+F[43,x]
F[43,x] = F[44,x]
F[44,x] = F[34,x]^2*F[21,x]*F[42,x]
F[45,x] = F[46,x]+F[6,x]
F[46,x] = F[34,x]*F[6,x]
F[47,x] = F[21,x]+F[48,x]
F[48,x] = F[49,x]
F[49,x] = F[21,x]*F[50,x]
F[50,x] = F[51,x]+F[55,x]
F[51,x] = F[52,x]+F[53,x]
F[52,x] = F[21,x]*F[34,x]
F[53,x] = F[54,x]
F[54,x] = F[34,x]^2*F[21,x]*F[50,x]
F[55,x] = F[56,x]+F[57,x]
F[56,x] = F[21,x]*F[34,x]
F[57,x] = F[48,x]+F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[158,x]*F[21,x]*F[60,x]
F[60,x] = F[48,x]+F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[21,x]*F[63,x]
F[63,x] = F[157,x]+F[64,x]
F[64,x] = F[34,x]*F[65,x]
F[65,x] = F[66,x]
F[66,x] = F[21,x]*F[67,x]
F[67,x] = 1/F[34,x]*F[68,x]
F[68,x] = -F[152,x]+F[69,x]
F[69,x] = -F[151,x]+F[70,x]
F[70,x] = 1/F[21,x]*F[71,x]
F[71,x] = F[72,x]
F[72,x] = F[73,x]+F[78,x]
F[73,x] = -F[77,x]+F[74,x]
F[74,x] = F[29,x]+F[75,x]
F[75,x] = F[76,x]
F[76,x] = F[21,x]*F[29,x]*F[34,x]*F[42,x]
F[77,x] = F[34,x]^2
F[78,x] = F[79,x]
F[79,x] = F[21,x]*F[80,x]
F[80,x] = F[148,x]+F[81,x]
F[81,x] = 1/F[21,x]*F[82,x]
F[82,x] = F[83,x]
F[83,x] = F[84,x]
F[84,x] = -F[147,x]+F[85,x]
F[85,x] = -F[88,x]+F[86,x]
F[86,x] = 1/F[21,x]*F[87,x]
F[87,x] = F[7,x]
F[88,x] = F[89,x]
F[89,x] = F[21,x]*F[90,x]
F[90,x] = 1/F[21,x]*F[91,x]
F[91,x] = F[92,x]
F[92,x] = F[107,x]+F[93,x]
F[93,x] = F[2,x]*F[94,x]
F[94,x] = 1/F[0,x]*F[95,x]
F[95,x] = -F[98,x]+F[96,x]
F[96,x] = 1/F[21,x]*F[97,x]
F[97,x] = F[5,x]
F[98,x] = F[107,x]+F[99,x]
F[99,x] = F[100,x]
F[100,x] = F[101,x]*F[21,x]
F[101,x] = F[102,x]+F[105,x]
F[102,x] = 1/F[21,x]*F[103,x]
F[103,x] = F[104,x]
F[104,x] = F[28,x]+F[83,x]
F[105,x] = F[106,x]
F[106,x] = F[21,x]*F[29,x]*F[94,x]
F[107,x] = F[108,x]
F[108,x] = F[109,x]*F[21,x]
F[109,x] = F[110,x]+F[141,x]
F[110,x] = F[111,x]+F[113,x]
F[111,x] = F[112,x]*F[67,x]
F[112,x] = F[2,x]+F[5,x]
F[113,x] = F[114,x]+F[118,x]
F[114,x] = F[115,x]
F[115,x] = F[112,x]*F[116,x]*F[21,x]
F[116,x] = 1/F[21,x]*F[117,x]
F[117,x] = F[81,x]
F[118,x] = F[119,x]
F[119,x] = F[116,x]*F[120,x]*F[21,x]
F[120,x] = F[121,x]
F[121,x] = F[122,x]*F[21,x]
F[122,x] = F[123,x]+F[128,x]
F[123,x] = F[124,x]+F[125,x]
F[124,x] = F[4,x]*F[94,x]
F[125,x] = F[126,x]
F[126,x] = F[127,x]*F[21,x]*F[67,x]
F[127,x] = F[120,x]+F[4,x]
F[128,x] = F[129,x]
F[129,x] = F[130,x]*F[21,x]*F[34,x]*F[94,x]
F[130,x] = F[131,x]+F[4,x]
F[131,x] = F[132,x]+F[39,x]
F[132,x] = -F[140,x]+F[133,x]
F[133,x] = -F[136,x]+F[134,x]
F[134,x] = 1/F[21,x]*F[135,x]
F[135,x] = F[7,x]
F[136,x] = F[137,x]
F[137,x] = F[138,x]*F[21,x]
F[138,x] = 1/F[21,x]*F[139,x]
F[139,x] = F[120,x]
F[140,x] = F[2,x]+F[7,x]
F[141,x] = F[142,x]
F[142,x] = F[143,x]+F[144,x]
F[143,x] = F[105,x]*F[2,x]
F[144,x] = F[145,x]
F[145,x] = F[146,x]*F[21,x]*F[29,x]*F[94,x]
F[146,x] = F[131,x]+F[5,x]
F[147,x] = F[28,x]+F[31,x]
F[148,x] = F[149,x]
F[149,x] = F[116,x]*F[150,x]*F[21,x]
F[150,x] = F[39,x]+F[6,x]
F[151,x] = F[80,x]
F[152,x] = F[153,x]
F[153,x] = -F[154,x]+F[70,x]
F[154,x] = F[102,x]+F[155,x]
F[155,x] = F[148,x]+F[156,x]
F[156,x] = F[6,x]*F[67,x]
F[157,x] = F[47,x]*F[94,x]
F[158,x] = F[159,x]+F[34,x]
F[159,x] = F[160,x]
F[160,x] = F[34,x]^2*F[158,x]*F[21,x]
F[161,x] = F[162,x]*F[6,x]
F[162,x] = F[163,x]
F[163,x] = F[127,x]*F[21,x]
F[164,x] = F[165,x]*F[6,x]
F[165,x] = F[166,x]
F[166,x] = F[130,x]*F[21,x]
F[167,x] = F[168,x]
F[168,x] = F[169,x]
F[169,x] = F[21,x]*F[4,x]*F[42,x]
F[170,x] = F[171,x]
F[171,x] = F[172,x]*F[21,x]
F[172,x] = F[173,x]+F[193,x]
F[173,x] = F[174,x]
F[174,x] = F[0,x]*F[175,x]
F[175,x] = -F[192,x]+F[176,x]
F[176,x] = 1/F[21,x]/F[4,x]*F[177,x]
F[177,x] = F[178,x]
F[178,x] = -F[191,x]+F[179,x]
F[179,x] = -F[158,x]+F[180,x]
F[180,x] = -F[186,x]+F[181,x]
F[181,x] = -F[184,x]+F[182,x]
F[182,x] = 1/F[21,x]*F[183,x]
F[183,x] = F[18,x]
F[184,x] = F[185,x]
F[185,x] = F[158,x]*F[21,x]*F[4,x]
F[186,x] = F[187,x]+F[51,x]
F[187,x] = F[188,x]
F[188,x] = F[112,x]*F[189,x]*F[21,x]
F[189,x] = 1/F[21,x]/F[4,x]*F[190,x]
F[190,x] = F[186,x]
F[191,x] = F[2,x]*F[34,x]
F[192,x] = -F[34,x]+F[158,x]
F[193,x] = F[194,x]
F[194,x] = F[195,x]*F[198,x]*F[21,x]
F[195,x] = F[168,x]+F[196,x]
F[196,x] = F[197,x]*F[34,x]
F[197,x] = -F[168,x]+F[15,x]
F[198,x] = F[158,x]+F[175,x]
F[199,x] = F[200,x]
F[200,x] = F[201,x]*F[21,x]
F[201,x] = F[202,x]+F[204,x]
F[202,x] = F[118,x]+F[203,x]
F[203,x] = F[5,x]*F[67,x]
F[204,x] = F[205,x]
F[205,x] = F[144,x]+F[206,x]
F[206,x] = F[0,x]*F[105,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_{21}\! \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 \right)+F_{7}\! \left(x \right)
F_{6}\! \left(x \right) = x F_{6} \left(x \right)^{3}+2 x F_{6} \left(x \right)^{2}+2 F_{6}\! \left(x \right) x +x
F_{7}\! \left(x \right) = F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{21}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{11}\! \left(x \right)
F_{10}\! \left(x \right) = F_{4}\! \left(x \right) F_{6}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{199}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{170}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{21}\! \left(x \right)
F_{15}\! \left(x \right) = -F_{167}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = \frac{F_{17}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{22}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right) F_{6}\! \left(x \right)
F_{20}\! \left(x \right) = F_{1}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = x
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{21}\! \left(x \right) F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{164}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{161}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right) F_{4}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{6}\! \left(x \right)
F_{28}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{21}\! \left(x \right) F_{6}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{21}\! \left(x \right) F_{33}\! \left(x \right) F_{47}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{35}\! \left(x \right)
F_{34}\! \left(x \right) = x F_{34} \left(x \right)^{3}-x F_{34} \left(x \right)^{2}+x F_{34}\! \left(x \right)+1
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{21}\! \left(x \right) F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = \frac{F_{38}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{6}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{21}\! \left(x \right) F_{42}\! \left(x \right) F_{45}\! \left(x \right)
F_{42}\! \left(x \right) = F_{34}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{34} \left(x \right)^{2} F_{21}\! \left(x \right) F_{42}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{6}\! \left(x \right)
F_{46}\! \left(x \right) = F_{34}\! \left(x \right) F_{6}\! \left(x \right)
F_{47}\! \left(x \right) = F_{21}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{21}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{55}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{53}\! \left(x \right)
F_{52}\! \left(x \right) = F_{21}\! \left(x \right) F_{34}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{34} \left(x \right)^{2} F_{21}\! \left(x \right) F_{50}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)+F_{57}\! \left(x \right)
F_{56}\! \left(x \right) = F_{21}\! \left(x \right) F_{34}\! \left(x \right)
F_{57}\! \left(x \right) = F_{48}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{158}\! \left(x \right) F_{21}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{48}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{21}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{157}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{34}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{21}\! \left(x \right) F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = \frac{F_{68}\! \left(x \right)}{F_{34}\! \left(x \right)}
F_{68}\! \left(x \right) = -F_{152}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = -F_{151}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = \frac{F_{71}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{78}\! \left(x \right)
F_{73}\! \left(x \right) = -F_{77}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{29}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{21}\! \left(x \right) F_{29}\! \left(x \right) F_{34}\! \left(x \right) F_{42}\! \left(x \right)
F_{77}\! \left(x \right) = F_{34} \left(x \right)^{2}
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{21}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{148}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = \frac{F_{82}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = -F_{147}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = -F_{88}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{87}\! \left(x \right) = F_{7}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{21}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = \frac{F_{91}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{107}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{2}\! \left(x \right) F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = \frac{F_{95}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{95}\! \left(x \right) = -F_{98}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = \frac{F_{97}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{97}\! \left(x \right) = F_{5}\! \left(x \right)
F_{98}\! \left(x \right) = F_{107}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{21}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{105}\! \left(x \right)
F_{102}\! \left(x \right) = \frac{F_{103}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{28}\! \left(x \right)+F_{83}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{21}\! \left(x \right) F_{29}\! \left(x \right) F_{94}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right) F_{21}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{141}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{113}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right) F_{67}\! \left(x \right)
F_{112}\! \left(x \right) = F_{2}\! \left(x \right)+F_{5}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{118}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{112}\! \left(x \right) F_{116}\! \left(x \right) F_{21}\! \left(x \right)
F_{116}\! \left(x \right) = \frac{F_{117}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{117}\! \left(x \right) = F_{81}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{116}\! \left(x \right) F_{120}\! \left(x \right) F_{21}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right) F_{21}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)+F_{128}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{125}\! \left(x \right)
F_{124}\! \left(x \right) = F_{4}\! \left(x \right) F_{94}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{21}\! \left(x \right) F_{67}\! \left(x \right)
F_{127}\! \left(x \right) = F_{120}\! \left(x \right)+F_{4}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right) F_{21}\! \left(x \right) F_{34}\! \left(x \right) F_{94}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{4}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{39}\! \left(x \right)
F_{132}\! \left(x \right) = -F_{140}\! \left(x \right)+F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = -F_{136}\! \left(x \right)+F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = \frac{F_{135}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{135}\! \left(x \right) = F_{7}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right) F_{21}\! \left(x \right)
F_{138}\! \left(x \right) = \frac{F_{139}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{139}\! \left(x \right) = F_{120}\! \left(x \right)
F_{140}\! \left(x \right) = F_{2}\! \left(x \right)+F_{7}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{144}\! \left(x \right)
F_{143}\! \left(x \right) = F_{105}\! \left(x \right) F_{2}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right) F_{21}\! \left(x \right) F_{29}\! \left(x \right) F_{94}\! \left(x \right)
F_{146}\! \left(x \right) = F_{131}\! \left(x \right)+F_{5}\! \left(x \right)
F_{147}\! \left(x \right) = F_{28}\! \left(x \right)+F_{31}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{116}\! \left(x \right) F_{150}\! \left(x \right) F_{21}\! \left(x \right)
F_{150}\! \left(x \right) = F_{39}\! \left(x \right)+F_{6}\! \left(x \right)
F_{151}\! \left(x \right) = F_{80}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = -F_{154}\! \left(x \right)+F_{70}\! \left(x \right)
F_{154}\! \left(x \right) = F_{102}\! \left(x \right)+F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{148}\! \left(x \right)+F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{6}\! \left(x \right) F_{67}\! \left(x \right)
F_{157}\! \left(x \right) = F_{47}\! \left(x \right) F_{94}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)+F_{34}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = F_{34} \left(x \right)^{2} F_{158}\! \left(x \right) F_{21}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right) F_{6}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{127}\! \left(x \right) F_{21}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right) F_{6}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{130}\! \left(x \right) F_{21}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)
F_{169}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right) F_{42}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right) F_{21}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{193}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{0}\! \left(x \right) F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = -F_{192}\! \left(x \right)+F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = \frac{F_{177}\! \left(x \right)}{F_{21}\! \left(x \right) F_{4}\! \left(x \right)}
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = -F_{191}\! \left(x \right)+F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = -F_{158}\! \left(x \right)+F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = -F_{186}\! \left(x \right)+F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = -F_{184}\! \left(x \right)+F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = \frac{F_{183}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{183}\! \left(x \right) = F_{18}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{158}\! \left(x \right) F_{21}\! \left(x \right) F_{4}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)+F_{51}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{112}\! \left(x \right) F_{189}\! \left(x \right) F_{21}\! \left(x \right)
F_{189}\! \left(x \right) = \frac{F_{190}\! \left(x \right)}{F_{21}\! \left(x \right) F_{4}\! \left(x \right)}
F_{190}\! \left(x \right) = F_{186}\! \left(x \right)
F_{191}\! \left(x \right) = F_{2}\! \left(x \right) F_{34}\! \left(x \right)
F_{192}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{158}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right) F_{198}\! \left(x \right) F_{21}\! \left(x \right)
F_{195}\! \left(x \right) = F_{168}\! \left(x \right)+F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right) F_{34}\! \left(x \right)
F_{197}\! \left(x \right) = -F_{168}\! \left(x \right)+F_{15}\! \left(x \right)
F_{198}\! \left(x \right) = F_{158}\! \left(x \right)+F_{175}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right) F_{21}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)+F_{204}\! \left(x \right)
F_{202}\! \left(x \right) = F_{118}\! \left(x \right)+F_{203}\! \left(x \right)
F_{203}\! \left(x \right) = F_{5}\! \left(x \right) F_{67}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{144}\! \left(x \right)+F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{0}\! \left(x \right) F_{105}\! \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_21(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x) + F_7(x))
Eq(F_6(x), x*(F_6(x) + 1)**3 - x*(F_6(x) + 1)**2 + (x - 1)*(F_6(x) + 1) + F_6(x) + 1)
Eq(F_7(x), F_8(x))
Eq(F_8(x), F_21(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_11(x))
Eq(F_10(x), F_4(x)*F_6(x))
Eq(F_11(x), F_12(x) + F_199(x))
Eq(F_12(x), F_13(x) + F_170(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x)*F_21(x))
Eq(F_15(x), F_16(x) - F_167(x))
Eq(F_16(x), F_17(x)/F_21(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_19(x) + F_22(x))
Eq(F_19(x), F_20(x)*F_6(x))
Eq(F_20(x), F_1(x) + F_21(x))
Eq(F_21(x), x)
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_21(x)*F_24(x))
Eq(F_24(x), F_164(x) + F_25(x))
Eq(F_25(x), F_161(x) + F_26(x))
Eq(F_26(x), F_27(x)*F_4(x))
Eq(F_27(x), F_28(x) + F_6(x))
Eq(F_28(x), F_29(x) - F_34(x))
Eq(F_29(x), F_30(x)/(F_21(x)*F_6(x)))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_21(x)*F_33(x)*F_47(x))
Eq(F_33(x), F_34(x) + F_35(x))
Eq(F_34(x), x*F_34(x)**3 - x*F_34(x)**2 + x*F_34(x) + 1)
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_21(x)*F_37(x))
Eq(F_37(x), F_38(x)/F_21(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_40(x) + F_6(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_21(x)*F_42(x)*F_45(x))
Eq(F_42(x), F_34(x) + F_43(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_21(x)*F_34(x)**2*F_42(x))
Eq(F_45(x), F_46(x) + F_6(x))
Eq(F_46(x), F_34(x)*F_6(x))
Eq(F_47(x), F_21(x) + F_48(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_21(x)*F_50(x))
Eq(F_50(x), F_51(x) + F_55(x))
Eq(F_51(x), F_52(x) + F_53(x))
Eq(F_52(x), F_21(x)*F_34(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_21(x)*F_34(x)**2*F_50(x))
Eq(F_55(x), F_56(x) + F_57(x))
Eq(F_56(x), F_21(x)*F_34(x))
Eq(F_57(x), F_48(x) + F_58(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_158(x)*F_21(x)*F_60(x))
Eq(F_60(x), F_48(x) + F_61(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_21(x)*F_63(x))
Eq(F_63(x), F_157(x) + F_64(x))
Eq(F_64(x), F_34(x)*F_65(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_21(x)*F_67(x))
Eq(F_67(x), F_68(x)/F_34(x))
Eq(F_68(x), -F_152(x) + F_69(x))
Eq(F_69(x), -F_151(x) + F_70(x))
Eq(F_70(x), F_71(x)/F_21(x))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_73(x) + F_78(x))
Eq(F_73(x), F_74(x) - F_77(x))
Eq(F_74(x), F_29(x) + F_75(x))
Eq(F_75(x), F_76(x))
Eq(F_76(x), F_21(x)*F_29(x)*F_34(x)*F_42(x))
Eq(F_77(x), F_34(x)**2)
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_21(x)*F_80(x))
Eq(F_80(x), F_148(x) + F_81(x))
Eq(F_81(x), F_82(x)/F_21(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), -F_147(x) + F_85(x))
Eq(F_85(x), F_86(x) - F_88(x))
Eq(F_86(x), F_87(x)/F_21(x))
Eq(F_87(x), F_7(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_21(x)*F_90(x))
Eq(F_90(x), F_91(x)/F_21(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_107(x) + F_93(x))
Eq(F_93(x), F_2(x)*F_94(x))
Eq(F_94(x), F_95(x)/F_0(x))
Eq(F_95(x), F_96(x) - F_98(x))
Eq(F_96(x), F_97(x)/F_21(x))
Eq(F_97(x), F_5(x))
Eq(F_98(x), F_107(x) + F_99(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_101(x)*F_21(x))
Eq(F_101(x), F_102(x) + F_105(x))
Eq(F_102(x), F_103(x)/F_21(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_28(x) + F_83(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_21(x)*F_29(x)*F_94(x))
Eq(F_107(x), F_108(x))
Eq(F_108(x), F_109(x)*F_21(x))
Eq(F_109(x), F_110(x) + F_141(x))
Eq(F_110(x), F_111(x) + F_113(x))
Eq(F_111(x), F_112(x)*F_67(x))
Eq(F_112(x), F_2(x) + F_5(x))
Eq(F_113(x), F_114(x) + F_118(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_112(x)*F_116(x)*F_21(x))
Eq(F_116(x), F_117(x)/F_21(x))
Eq(F_117(x), F_81(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_116(x)*F_120(x)*F_21(x))
Eq(F_120(x), F_121(x))
Eq(F_121(x), F_122(x)*F_21(x))
Eq(F_122(x), F_123(x) + F_128(x))
Eq(F_123(x), F_124(x) + F_125(x))
Eq(F_124(x), F_4(x)*F_94(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_127(x)*F_21(x)*F_67(x))
Eq(F_127(x), F_120(x) + F_4(x))
Eq(F_128(x), F_129(x))
Eq(F_129(x), F_130(x)*F_21(x)*F_34(x)*F_94(x))
Eq(F_130(x), F_131(x) + F_4(x))
Eq(F_131(x), F_132(x) + F_39(x))
Eq(F_132(x), F_133(x) - F_140(x))
Eq(F_133(x), F_134(x) - F_136(x))
Eq(F_134(x), F_135(x)/F_21(x))
Eq(F_135(x), F_7(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), F_138(x)*F_21(x))
Eq(F_138(x), F_139(x)/F_21(x))
Eq(F_139(x), F_120(x))
Eq(F_140(x), F_2(x) + F_7(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_143(x) + F_144(x))
Eq(F_143(x), F_105(x)*F_2(x))
Eq(F_144(x), F_145(x))
Eq(F_145(x), F_146(x)*F_21(x)*F_29(x)*F_94(x))
Eq(F_146(x), F_131(x) + F_5(x))
Eq(F_147(x), F_28(x) + F_31(x))
Eq(F_148(x), F_149(x))
Eq(F_149(x), F_116(x)*F_150(x)*F_21(x))
Eq(F_150(x), F_39(x) + F_6(x))
Eq(F_151(x), F_80(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), -F_154(x) + F_70(x))
Eq(F_154(x), F_102(x) + F_155(x))
Eq(F_155(x), F_148(x) + F_156(x))
Eq(F_156(x), F_6(x)*F_67(x))
Eq(F_157(x), F_47(x)*F_94(x))
Eq(F_158(x), F_159(x) + F_34(x))
Eq(F_159(x), F_160(x))
Eq(F_160(x), F_158(x)*F_21(x)*F_34(x)**2)
Eq(F_161(x), F_162(x)*F_6(x))
Eq(F_162(x), F_163(x))
Eq(F_163(x), F_127(x)*F_21(x))
Eq(F_164(x), F_165(x)*F_6(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_130(x)*F_21(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x))
Eq(F_169(x), F_21(x)*F_4(x)*F_42(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_172(x)*F_21(x))
Eq(F_172(x), F_173(x) + F_193(x))
Eq(F_173(x), F_174(x))
Eq(F_174(x), F_0(x)*F_175(x))
Eq(F_175(x), F_176(x) - F_192(x))
Eq(F_176(x), F_177(x)/(F_21(x)*F_4(x)))
Eq(F_177(x), F_178(x))
Eq(F_178(x), F_179(x) - F_191(x))
Eq(F_179(x), -F_158(x) + F_180(x))
Eq(F_180(x), F_181(x) - F_186(x))
Eq(F_181(x), F_182(x) - F_184(x))
Eq(F_182(x), F_183(x)/F_21(x))
Eq(F_183(x), F_18(x))
Eq(F_184(x), F_185(x))
Eq(F_185(x), F_158(x)*F_21(x)*F_4(x))
Eq(F_186(x), F_187(x) + F_51(x))
Eq(F_187(x), F_188(x))
Eq(F_188(x), F_112(x)*F_189(x)*F_21(x))
Eq(F_189(x), F_190(x)/(F_21(x)*F_4(x)))
Eq(F_190(x), F_186(x))
Eq(F_191(x), F_2(x)*F_34(x))
Eq(F_192(x), F_158(x) - F_34(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_195(x)*F_198(x)*F_21(x))
Eq(F_195(x), F_168(x) + F_196(x))
Eq(F_196(x), F_197(x)*F_34(x))
Eq(F_197(x), F_15(x) - F_168(x))
Eq(F_198(x), F_158(x) + F_175(x))
Eq(F_199(x), F_200(x))
Eq(F_200(x), F_201(x)*F_21(x))
Eq(F_201(x), F_202(x) + F_204(x))
Eq(F_202(x), F_118(x) + F_203(x))
Eq(F_203(x), F_5(x)*F_67(x))
Eq(F_204(x), F_205(x))
Eq(F_205(x), F_144(x) + F_206(x))
Eq(F_206(x), F_0(x)*F_105(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 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, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "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, 1, 2], "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]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 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], "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, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 3], [2, 3], [2, 3]]}, {"patt": [0, 2, 1], "pos": [[2, 3], [2, 3], [2, 3]]}, {"patt": [1, 0, 2], "pos": [[2, 3], [2, 2], [2, 3]]}, {"patt": [1, 0, 2], "pos": [[2, 3], [2, 3], [2, 3]]}, {"patt": [1, 2, 0], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [1, 2, 0], "pos": [[2, 3], [2, 3], [2, 2]]}, {"patt": [1, 2, 0], "pos": [[2, 3], [2, 3], [2, 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[0, 3], [0, 3]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[2, 0]]}], [{"patt": [0], "pos": [[1, 2]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 3]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0], "pos": [[2, 4]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0], "pos": [[3, 2]]}, {"patt": [0], "pos": [[3, 3]]}, {"patt": [0], "pos": [[3, 4]]}, {"patt": [0, 1], "pos": [[2, 3], [2, 3]]}, {"patt": [1, 0], "pos": [[2, 3], [2, 3]]}, {"patt": [0, 1, 2], "pos": [[0, 2], [0, 4], [0, 4]]}, {"patt": [0, 2, 1], "pos": [[0, 2], [0, 4], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 2], [0, 4], [0, 4]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[3, 0]]}], [{"patt": [0], "pos": [[2, 3]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}, "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": [[1, 4]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 3]]}, {"patt": [0, 1], "pos": [[0, 4], [0, 4]]}, {"patt": [0, 1], "pos": [[0, 4], [2, 4]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1], "pos": [[2, 4], [2, 4]]}, {"patt": [1, 0], "pos": [[0, 4], [0, 4]]}, {"patt": [1, 0], "pos": [[0, 4], [2, 4]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[2, 4], [2, 4]]}, {"patt": [1, 2, 0], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [2, 0, 1], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [2, 1, 0], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"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, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 2], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 2], [2, 0], [2, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"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, 0], [2, 2], [2, 2], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[2, 4]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": false}}, {"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": [[0, 2]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 3]]}, {"patt": [0, 1], "pos": [[0, 4], [0, 4]]}, {"patt": [0, 1], "pos": [[0, 4], [2, 4]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1], "pos": [[2, 4], [2, 4]]}, {"patt": [1, 0], "pos": [[0, 4], [0, 4]]}, {"patt": [1, 0], "pos": [[0, 4], [2, 4]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[2, 4], [2, 4]]}, {"patt": [1, 2, 0], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [2, 0, 1], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [2, 1, 0], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"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, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 2], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 2], [2, 0], [2, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"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, 0], [2, 2], [2, 2], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[2, 4]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "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": [[0, 4]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0], "pos": [[1, 5]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 3]]}, {"patt": [0], "pos": [[2, 5]]}, {"patt": [0, 1], "pos": [[0, 5], [0, 5]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1], "pos": [[2, 4], [2, 4]]}, {"patt": [1, 0], "pos": [[0, 5], [0, 5]]}, {"patt": [1, 0], "pos": [[0, 5], [2, 4]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[2, 4], [2, 4]]}, {"patt": [1, 2, 0], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [2, 0, 1], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [2, 1, 0], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"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, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 2], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 2], [2, 0], [2, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"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, 0], [2, 2], [2, 2], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 5]]}, {"patt": [0], "pos": [[2, 4]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "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, 1, 2], "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, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}}, {"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, 1, 2], "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": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}}]}

Specification 3
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25149/
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[21,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]+F[7,x]
F[6,x] = x*(1+F[6,x])*(F[6,x]^2+F[6,x]+1)
F[7,x] = F[8,x]
F[8,x] = F[21,x]*F[9,x]
F[9,x] = F[10,x]+F[11,x]
F[10,x] = F[4,x]*F[6,x]
F[11,x] = F[12,x]+F[203,x]
F[12,x] = F[13,x]+F[174,x]
F[13,x] = F[14,x]
F[14,x] = F[15,x]*F[21,x]
F[15,x] = -F[171,x]+F[16,x]
F[16,x] = 1/F[21,x]*F[17,x]
F[17,x] = F[18,x]
F[18,x] = F[19,x]+F[22,x]
F[19,x] = F[20,x]*F[6,x]
F[20,x] = F[1,x]+F[21,x]
F[21,x] = x
F[22,x] = F[23,x]
F[23,x] = F[21,x]*F[24,x]
F[24,x] = F[166,x]+F[25,x]
F[25,x] = F[163,x]+F[26,x]
F[26,x] = F[27,x]*F[4,x]
F[27,x] = F[28,x]+F[6,x]
F[28,x] = -F[34,x]+F[29,x]
F[29,x] = 1/F[21,x]/F[6,x]*F[30,x]
F[30,x] = F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[21,x]*F[33,x]*F[47,x]
F[33,x] = F[34,x]+F[35,x]
F[34,x] = 1+(F[34,x]^3-F[34,x]^2+F[34,x])*x
F[35,x] = F[36,x]
F[36,x] = F[21,x]*F[37,x]
F[37,x] = 1/F[21,x]*F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[40,x]+F[6,x]
F[40,x] = F[41,x]
F[41,x] = F[21,x]*F[42,x]*F[45,x]
F[42,x] = F[34,x]+F[43,x]
F[43,x] = F[44,x]
F[44,x] = F[34,x]^2*F[21,x]*F[42,x]
F[45,x] = F[46,x]+F[6,x]
F[46,x] = F[34,x]*F[6,x]
F[47,x] = F[21,x]+F[48,x]
F[48,x] = F[49,x]
F[49,x] = F[21,x]*F[50,x]
F[50,x] = F[159,x]+F[51,x]
F[51,x] = F[52,x]+F[53,x]
F[52,x] = F[21,x]*F[34,x]
F[53,x] = F[48,x]+F[54,x]
F[54,x] = F[55,x]
F[55,x] = F[156,x]*F[21,x]*F[56,x]
F[56,x] = F[48,x]+F[57,x]
F[57,x] = F[58,x]
F[58,x] = F[21,x]*F[59,x]
F[59,x] = F[155,x]+F[60,x]
F[60,x] = F[34,x]*F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[21,x]*F[63,x]
F[63,x] = 1/F[34,x]*F[64,x]
F[64,x] = -F[147,x]+F[65,x]
F[65,x] = -F[146,x]+F[66,x]
F[66,x] = 1/F[21,x]*F[67,x]
F[67,x] = F[68,x]
F[68,x] = F[69,x]+F[74,x]
F[69,x] = -F[73,x]+F[70,x]
F[70,x] = F[29,x]+F[71,x]
F[71,x] = F[72,x]
F[72,x] = F[21,x]*F[29,x]*F[34,x]*F[42,x]
F[73,x] = F[34,x]^2
F[74,x] = F[75,x]
F[75,x] = F[21,x]*F[76,x]
F[76,x] = F[143,x]+F[77,x]
F[77,x] = 1/F[21,x]*F[78,x]
F[78,x] = F[79,x]
F[79,x] = F[80,x]
F[80,x] = -F[142,x]+F[81,x]
F[81,x] = -F[84,x]+F[82,x]
F[82,x] = 1/F[21,x]*F[83,x]
F[83,x] = F[7,x]
F[84,x] = F[85,x]
F[85,x] = F[21,x]*F[86,x]
F[86,x] = 1/F[21,x]*F[87,x]
F[87,x] = F[88,x]
F[88,x] = F[101,x]+F[89,x]
F[89,x] = F[2,x]*F[90,x]
F[90,x] = 1/F[0,x]*F[91,x]
F[91,x] = -F[94,x]+F[92,x]
F[92,x] = 1/F[21,x]*F[93,x]
F[93,x] = F[5,x]
F[94,x] = F[101,x]+F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[21,x]*F[97,x]
F[97,x] = F[77,x]+F[98,x]
F[98,x] = F[63,x]+F[99,x]
F[99,x] = F[100,x]
F[100,x] = F[21,x]*F[29,x]*F[90,x]
F[101,x] = F[102,x]
F[102,x] = F[103,x]*F[21,x]
F[103,x] = F[104,x]+F[132,x]
F[104,x] = F[105,x]+F[107,x]
F[105,x] = F[106,x]*F[63,x]
F[106,x] = F[2,x]+F[5,x]
F[107,x] = F[108,x]+F[112,x]
F[108,x] = F[109,x]
F[109,x] = F[106,x]*F[110,x]*F[21,x]
F[110,x] = 1/F[21,x]*F[111,x]
F[111,x] = F[77,x]
F[112,x] = F[113,x]
F[113,x] = F[110,x]*F[114,x]*F[21,x]
F[114,x] = F[115,x]
F[115,x] = F[116,x]*F[21,x]
F[116,x] = F[117,x]+F[122,x]
F[117,x] = F[118,x]+F[119,x]
F[118,x] = F[4,x]*F[90,x]
F[119,x] = F[120,x]
F[120,x] = F[121,x]*F[21,x]*F[63,x]
F[121,x] = F[114,x]+F[4,x]
F[122,x] = F[123,x]
F[123,x] = F[124,x]*F[21,x]*F[34,x]*F[90,x]
F[124,x] = F[125,x]+F[42,x]
F[125,x] = -F[128,x]+F[126,x]
F[126,x] = 1/F[21,x]*F[127,x]
F[127,x] = F[7,x]
F[128,x] = F[129,x]
F[129,x] = F[130,x]*F[21,x]
F[130,x] = 1/F[21,x]*F[131,x]
F[131,x] = F[114,x]
F[132,x] = F[133,x]
F[133,x] = F[134,x]+F[135,x]
F[134,x] = F[2,x]*F[99,x]
F[135,x] = F[136,x]
F[136,x] = F[137,x]*F[21,x]*F[29,x]*F[90,x]
F[137,x] = F[13,x]+F[138,x]
F[138,x] = F[139,x]+F[43,x]
F[139,x] = -F[140,x]+F[125,x]
F[140,x] = F[141,x]
F[141,x] = F[21,x]*F[29,x]*F[4,x]
F[142,x] = F[28,x]+F[31,x]
F[143,x] = F[144,x]
F[144,x] = F[110,x]*F[145,x]*F[21,x]
F[145,x] = F[39,x]+F[6,x]
F[146,x] = F[76,x]
F[147,x] = F[148,x]
F[148,x] = -F[149,x]+F[66,x]
F[149,x] = F[150,x]+F[153,x]
F[150,x] = 1/F[21,x]*F[151,x]
F[151,x] = F[152,x]
F[152,x] = F[28,x]+F[79,x]
F[153,x] = F[143,x]+F[154,x]
F[154,x] = F[6,x]*F[63,x]
F[155,x] = F[47,x]*F[90,x]
F[156,x] = F[157,x]+F[34,x]
F[157,x] = F[158,x]
F[158,x] = F[34,x]^2*F[156,x]*F[21,x]
F[159,x] = F[160,x]+F[161,x]
F[160,x] = F[21,x]*F[34,x]
F[161,x] = F[162,x]
F[162,x] = F[34,x]^2*F[21,x]*F[50,x]
F[163,x] = F[164,x]*F[6,x]
F[164,x] = F[165,x]
F[165,x] = F[121,x]*F[21,x]
F[166,x] = F[167,x]*F[6,x]
F[167,x] = F[160,x]+F[168,x]
F[168,x] = F[169,x]
F[169,x] = F[170,x]*F[21,x]
F[170,x] = F[138,x]+F[140,x]
F[171,x] = F[172,x]
F[172,x] = F[173,x]
F[173,x] = F[21,x]*F[4,x]*F[42,x]
F[174,x] = F[175,x]
F[175,x] = F[176,x]*F[21,x]
F[176,x] = F[177,x]+F[197,x]
F[177,x] = F[178,x]
F[178,x] = F[0,x]*F[179,x]
F[179,x] = -F[196,x]+F[180,x]
F[180,x] = 1/F[21,x]/F[4,x]*F[181,x]
F[181,x] = F[182,x]
F[182,x] = -F[195,x]+F[183,x]
F[183,x] = -F[156,x]+F[184,x]
F[184,x] = -F[190,x]+F[185,x]
F[185,x] = -F[188,x]+F[186,x]
F[186,x] = 1/F[21,x]*F[187,x]
F[187,x] = F[18,x]
F[188,x] = F[189,x]
F[189,x] = F[156,x]*F[21,x]*F[4,x]
F[190,x] = F[159,x]+F[191,x]
F[191,x] = F[192,x]
F[192,x] = F[106,x]*F[193,x]*F[21,x]
F[193,x] = 1/F[21,x]/F[4,x]*F[194,x]
F[194,x] = F[190,x]
F[195,x] = F[2,x]*F[34,x]
F[196,x] = -F[34,x]+F[156,x]
F[197,x] = F[198,x]
F[198,x] = F[199,x]*F[202,x]*F[21,x]
F[199,x] = F[172,x]+F[200,x]
F[200,x] = F[201,x]*F[34,x]
F[201,x] = -F[172,x]+F[15,x]
F[202,x] = F[156,x]+F[179,x]
F[203,x] = F[204,x]
F[204,x] = F[205,x]*F[21,x]
F[205,x] = F[206,x]+F[208,x]
F[206,x] = F[112,x]+F[207,x]
F[207,x] = F[5,x]*F[63,x]
F[208,x] = F[209,x]
F[209,x] = F[135,x]+F[210,x]
F[210,x] = F[0,x]*F[99,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_{21}\! \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 \right)+F_{7}\! \left(x \right)
F_{6}\! \left(x \right) = x F_{6} \left(x \right)^{3}+2 x F_{6} \left(x \right)^{2}+2 F_{6}\! \left(x \right) x +x
F_{7}\! \left(x \right) = F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{21}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{11}\! \left(x \right)
F_{10}\! \left(x \right) = F_{4}\! \left(x \right) F_{6}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{203}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{174}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{21}\! \left(x \right)
F_{15}\! \left(x \right) = -F_{171}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = \frac{F_{17}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{22}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right) F_{6}\! \left(x \right)
F_{20}\! \left(x \right) = F_{1}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = x
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{21}\! \left(x \right) F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{166}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{163}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right) F_{4}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{6}\! \left(x \right)
F_{28}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{21}\! \left(x \right) F_{6}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{21}\! \left(x \right) F_{33}\! \left(x \right) F_{47}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{35}\! \left(x \right)
F_{34}\! \left(x \right) = x F_{34} \left(x \right)^{3}-x F_{34} \left(x \right)^{2}+x F_{34}\! \left(x \right)+1
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{21}\! \left(x \right) F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = \frac{F_{38}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{6}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{21}\! \left(x \right) F_{42}\! \left(x \right) F_{45}\! \left(x \right)
F_{42}\! \left(x \right) = F_{34}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{34} \left(x \right)^{2} F_{21}\! \left(x \right) F_{42}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{6}\! \left(x \right)
F_{46}\! \left(x \right) = F_{34}\! \left(x \right) F_{6}\! \left(x \right)
F_{47}\! \left(x \right) = F_{21}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{21}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{159}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{53}\! \left(x \right)
F_{52}\! \left(x \right) = F_{21}\! \left(x \right) F_{34}\! \left(x \right)
F_{53}\! \left(x \right) = F_{48}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{156}\! \left(x \right) F_{21}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{48}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{21}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{155}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{34}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{21}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = \frac{F_{64}\! \left(x \right)}{F_{34}\! \left(x \right)}
F_{64}\! \left(x \right) = -F_{147}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = -F_{146}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = \frac{F_{67}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{74}\! \left(x \right)
F_{69}\! \left(x \right) = -F_{73}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{29}\! \left(x \right)+F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{21}\! \left(x \right) F_{29}\! \left(x \right) F_{34}\! \left(x \right) F_{42}\! \left(x \right)
F_{73}\! \left(x \right) = F_{34} \left(x \right)^{2}
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{21}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{143}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = \frac{F_{78}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = -F_{142}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = -F_{84}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = \frac{F_{83}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{83}\! \left(x \right) = F_{7}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{21}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{101}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{2}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = \frac{F_{91}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{91}\! \left(x \right) = -F_{94}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = \frac{F_{93}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{93}\! \left(x \right) = F_{5}\! \left(x \right)
F_{94}\! \left(x \right) = F_{101}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{21}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{77}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{63}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{21}\! \left(x \right) F_{29}\! \left(x \right) F_{90}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{21}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{132}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{107}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right) F_{63}\! \left(x \right)
F_{106}\! \left(x \right) = F_{2}\! \left(x \right)+F_{5}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{112}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{106}\! \left(x \right) F_{110}\! \left(x \right) F_{21}\! \left(x \right)
F_{110}\! \left(x \right) = \frac{F_{111}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{111}\! \left(x \right) = F_{77}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{110}\! \left(x \right) F_{114}\! \left(x \right) F_{21}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{21}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)+F_{122}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{119}\! \left(x \right)
F_{118}\! \left(x \right) = F_{4}\! \left(x \right) F_{90}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{21}\! \left(x \right) F_{63}\! \left(x \right)
F_{121}\! \left(x \right) = F_{114}\! \left(x \right)+F_{4}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right) F_{21}\! \left(x \right) F_{34}\! \left(x \right) F_{90}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{42}\! \left(x \right)
F_{125}\! \left(x \right) = -F_{128}\! \left(x \right)+F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = \frac{F_{127}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{127}\! \left(x \right) = F_{7}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right) F_{21}\! \left(x \right)
F_{130}\! \left(x \right) = \frac{F_{131}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{131}\! \left(x \right) = F_{114}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{135}\! \left(x \right)
F_{134}\! \left(x \right) = F_{2}\! \left(x \right) F_{99}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{21}\! \left(x \right) F_{29}\! \left(x \right) F_{90}\! \left(x \right)
F_{137}\! \left(x \right) = F_{13}\! \left(x \right)+F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)+F_{43}\! \left(x \right)
F_{139}\! \left(x \right) = -F_{140}\! \left(x \right)+F_{125}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{21}\! \left(x \right) F_{29}\! \left(x \right) F_{4}\! \left(x \right)
F_{142}\! \left(x \right) = F_{28}\! \left(x \right)+F_{31}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{110}\! \left(x \right) F_{145}\! \left(x \right) F_{21}\! \left(x \right)
F_{145}\! \left(x \right) = F_{39}\! \left(x \right)+F_{6}\! \left(x \right)
F_{146}\! \left(x \right) = F_{76}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = -F_{149}\! \left(x \right)+F_{66}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)+F_{153}\! \left(x \right)
F_{150}\! \left(x \right) = \frac{F_{151}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{28}\! \left(x \right)+F_{79}\! \left(x \right)
F_{153}\! \left(x \right) = F_{143}\! \left(x \right)+F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{6}\! \left(x \right) F_{63}\! \left(x \right)
F_{155}\! \left(x \right) = F_{47}\! \left(x \right) F_{90}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{34}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{34} \left(x \right)^{2} F_{156}\! \left(x \right) F_{21}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{161}\! \left(x \right)
F_{160}\! \left(x \right) = F_{21}\! \left(x \right) F_{34}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{34} \left(x \right)^{2} F_{21}\! \left(x \right) F_{50}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right) F_{6}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = F_{121}\! \left(x \right) F_{21}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{6}\! \left(x \right)
F_{167}\! \left(x \right) = F_{160}\! \left(x \right)+F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right) F_{21}\! \left(x \right)
F_{170}\! \left(x \right) = F_{138}\! \left(x \right)+F_{140}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right) F_{42}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right) F_{21}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)+F_{197}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{0}\! \left(x \right) F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = -F_{196}\! \left(x \right)+F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = \frac{F_{181}\! \left(x \right)}{F_{21}\! \left(x \right) F_{4}\! \left(x \right)}
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = -F_{195}\! \left(x \right)+F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = -F_{156}\! \left(x \right)+F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = -F_{190}\! \left(x \right)+F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = -F_{188}\! \left(x \right)+F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = \frac{F_{187}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{187}\! \left(x \right) = F_{18}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{156}\! \left(x \right) F_{21}\! \left(x \right) F_{4}\! \left(x \right)
F_{190}\! \left(x \right) = F_{159}\! \left(x \right)+F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{106}\! \left(x \right) F_{193}\! \left(x \right) F_{21}\! \left(x \right)
F_{193}\! \left(x \right) = \frac{F_{194}\! \left(x \right)}{F_{21}\! \left(x \right) F_{4}\! \left(x \right)}
F_{194}\! \left(x \right) = F_{190}\! \left(x \right)
F_{195}\! \left(x \right) = F_{2}\! \left(x \right) F_{34}\! \left(x \right)
F_{196}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{156}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right) F_{202}\! \left(x \right) F_{21}\! \left(x \right)
F_{199}\! \left(x \right) = F_{172}\! \left(x \right)+F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right) F_{34}\! \left(x \right)
F_{201}\! \left(x \right) = -F_{172}\! \left(x \right)+F_{15}\! \left(x \right)
F_{202}\! \left(x \right) = F_{156}\! \left(x \right)+F_{179}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right) F_{21}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)+F_{208}\! \left(x \right)
F_{206}\! \left(x \right) = F_{112}\! \left(x \right)+F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = F_{5}\! \left(x \right) F_{63}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{135}\! \left(x \right)+F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{0}\! \left(x \right) F_{99}\! \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_21(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x) + F_7(x))
Eq(F_6(x), x*(F_6(x) + 1)**3 - x*(F_6(x) + 1)**2 + (x - 1)*(F_6(x) + 1) + F_6(x) + 1)
Eq(F_7(x), F_8(x))
Eq(F_8(x), F_21(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_11(x))
Eq(F_10(x), F_4(x)*F_6(x))
Eq(F_11(x), F_12(x) + F_203(x))
Eq(F_12(x), F_13(x) + F_174(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x)*F_21(x))
Eq(F_15(x), F_16(x) - F_171(x))
Eq(F_16(x), F_17(x)/F_21(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_19(x) + F_22(x))
Eq(F_19(x), F_20(x)*F_6(x))
Eq(F_20(x), F_1(x) + F_21(x))
Eq(F_21(x), x)
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_21(x)*F_24(x))
Eq(F_24(x), F_166(x) + F_25(x))
Eq(F_25(x), F_163(x) + F_26(x))
Eq(F_26(x), F_27(x)*F_4(x))
Eq(F_27(x), F_28(x) + F_6(x))
Eq(F_28(x), F_29(x) - F_34(x))
Eq(F_29(x), F_30(x)/(F_21(x)*F_6(x)))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_21(x)*F_33(x)*F_47(x))
Eq(F_33(x), F_34(x) + F_35(x))
Eq(F_34(x), x*F_34(x)**3 - x*F_34(x)**2 + x*F_34(x) + 1)
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_21(x)*F_37(x))
Eq(F_37(x), F_38(x)/F_21(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_40(x) + F_6(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_21(x)*F_42(x)*F_45(x))
Eq(F_42(x), F_34(x) + F_43(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_21(x)*F_34(x)**2*F_42(x))
Eq(F_45(x), F_46(x) + F_6(x))
Eq(F_46(x), F_34(x)*F_6(x))
Eq(F_47(x), F_21(x) + F_48(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_21(x)*F_50(x))
Eq(F_50(x), F_159(x) + F_51(x))
Eq(F_51(x), F_52(x) + F_53(x))
Eq(F_52(x), F_21(x)*F_34(x))
Eq(F_53(x), F_48(x) + F_54(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_156(x)*F_21(x)*F_56(x))
Eq(F_56(x), F_48(x) + F_57(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_21(x)*F_59(x))
Eq(F_59(x), F_155(x) + F_60(x))
Eq(F_60(x), F_34(x)*F_61(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_21(x)*F_63(x))
Eq(F_63(x), F_64(x)/F_34(x))
Eq(F_64(x), -F_147(x) + F_65(x))
Eq(F_65(x), -F_146(x) + F_66(x))
Eq(F_66(x), F_67(x)/F_21(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_69(x) + F_74(x))
Eq(F_69(x), F_70(x) - F_73(x))
Eq(F_70(x), F_29(x) + F_71(x))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_21(x)*F_29(x)*F_34(x)*F_42(x))
Eq(F_73(x), F_34(x)**2)
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_21(x)*F_76(x))
Eq(F_76(x), F_143(x) + F_77(x))
Eq(F_77(x), F_78(x)/F_21(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_80(x))
Eq(F_80(x), -F_142(x) + F_81(x))
Eq(F_81(x), F_82(x) - F_84(x))
Eq(F_82(x), F_83(x)/F_21(x))
Eq(F_83(x), F_7(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_21(x)*F_86(x))
Eq(F_86(x), F_87(x)/F_21(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), F_101(x) + F_89(x))
Eq(F_89(x), F_2(x)*F_90(x))
Eq(F_90(x), F_91(x)/F_0(x))
Eq(F_91(x), F_92(x) - F_94(x))
Eq(F_92(x), F_93(x)/F_21(x))
Eq(F_93(x), F_5(x))
Eq(F_94(x), F_101(x) + F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_21(x)*F_97(x))
Eq(F_97(x), F_77(x) + F_98(x))
Eq(F_98(x), F_63(x) + F_99(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_21(x)*F_29(x)*F_90(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_103(x)*F_21(x))
Eq(F_103(x), F_104(x) + F_132(x))
Eq(F_104(x), F_105(x) + F_107(x))
Eq(F_105(x), F_106(x)*F_63(x))
Eq(F_106(x), F_2(x) + F_5(x))
Eq(F_107(x), F_108(x) + F_112(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_106(x)*F_110(x)*F_21(x))
Eq(F_110(x), F_111(x)/F_21(x))
Eq(F_111(x), F_77(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_110(x)*F_114(x)*F_21(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x)*F_21(x))
Eq(F_116(x), F_117(x) + F_122(x))
Eq(F_117(x), F_118(x) + F_119(x))
Eq(F_118(x), F_4(x)*F_90(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_121(x)*F_21(x)*F_63(x))
Eq(F_121(x), F_114(x) + F_4(x))
Eq(F_122(x), F_123(x))
Eq(F_123(x), F_124(x)*F_21(x)*F_34(x)*F_90(x))
Eq(F_124(x), F_125(x) + F_42(x))
Eq(F_125(x), F_126(x) - F_128(x))
Eq(F_126(x), F_127(x)/F_21(x))
Eq(F_127(x), F_7(x))
Eq(F_128(x), F_129(x))
Eq(F_129(x), F_130(x)*F_21(x))
Eq(F_130(x), F_131(x)/F_21(x))
Eq(F_131(x), F_114(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_134(x) + F_135(x))
Eq(F_134(x), F_2(x)*F_99(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_137(x)*F_21(x)*F_29(x)*F_90(x))
Eq(F_137(x), F_13(x) + F_138(x))
Eq(F_138(x), F_139(x) + F_43(x))
Eq(F_139(x), F_125(x) - F_140(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_21(x)*F_29(x)*F_4(x))
Eq(F_142(x), F_28(x) + F_31(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_110(x)*F_145(x)*F_21(x))
Eq(F_145(x), F_39(x) + F_6(x))
Eq(F_146(x), F_76(x))
Eq(F_147(x), F_148(x))
Eq(F_148(x), -F_149(x) + F_66(x))
Eq(F_149(x), F_150(x) + F_153(x))
Eq(F_150(x), F_151(x)/F_21(x))
Eq(F_151(x), F_152(x))
Eq(F_152(x), F_28(x) + F_79(x))
Eq(F_153(x), F_143(x) + F_154(x))
Eq(F_154(x), F_6(x)*F_63(x))
Eq(F_155(x), F_47(x)*F_90(x))
Eq(F_156(x), F_157(x) + F_34(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_156(x)*F_21(x)*F_34(x)**2)
Eq(F_159(x), F_160(x) + F_161(x))
Eq(F_160(x), F_21(x)*F_34(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_21(x)*F_34(x)**2*F_50(x))
Eq(F_163(x), F_164(x)*F_6(x))
Eq(F_164(x), F_165(x))
Eq(F_165(x), F_121(x)*F_21(x))
Eq(F_166(x), F_167(x)*F_6(x))
Eq(F_167(x), F_160(x) + F_168(x))
Eq(F_168(x), F_169(x))
Eq(F_169(x), F_170(x)*F_21(x))
Eq(F_170(x), F_138(x) + F_140(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), F_173(x))
Eq(F_173(x), F_21(x)*F_4(x)*F_42(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_176(x)*F_21(x))
Eq(F_176(x), F_177(x) + F_197(x))
Eq(F_177(x), F_178(x))
Eq(F_178(x), F_0(x)*F_179(x))
Eq(F_179(x), F_180(x) - F_196(x))
Eq(F_180(x), F_181(x)/(F_21(x)*F_4(x)))
Eq(F_181(x), F_182(x))
Eq(F_182(x), F_183(x) - F_195(x))
Eq(F_183(x), -F_156(x) + F_184(x))
Eq(F_184(x), F_185(x) - F_190(x))
Eq(F_185(x), F_186(x) - F_188(x))
Eq(F_186(x), F_187(x)/F_21(x))
Eq(F_187(x), F_18(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), F_156(x)*F_21(x)*F_4(x))
Eq(F_190(x), F_159(x) + F_191(x))
Eq(F_191(x), F_192(x))
Eq(F_192(x), F_106(x)*F_193(x)*F_21(x))
Eq(F_193(x), F_194(x)/(F_21(x)*F_4(x)))
Eq(F_194(x), F_190(x))
Eq(F_195(x), F_2(x)*F_34(x))
Eq(F_196(x), F_156(x) - F_34(x))
Eq(F_197(x), F_198(x))
Eq(F_198(x), F_199(x)*F_202(x)*F_21(x))
Eq(F_199(x), F_172(x) + F_200(x))
Eq(F_200(x), F_201(x)*F_34(x))
Eq(F_201(x), F_15(x) - F_172(x))
Eq(F_202(x), F_156(x) + F_179(x))
Eq(F_203(x), F_204(x))
Eq(F_204(x), F_205(x)*F_21(x))
Eq(F_205(x), F_206(x) + F_208(x))
Eq(F_206(x), F_112(x) + F_207(x))
Eq(F_207(x), F_5(x)*F_63(x))
Eq(F_208(x), F_209(x))
Eq(F_209(x), F_135(x) + F_210(x))
Eq(F_210(x), F_0(x)*F_99(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 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, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "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, 1, 2], "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]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], 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[]}, "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, 1, 2], "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, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}}, {"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, 1, 2], "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": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}}]}

Specification 4
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://permpal.com/tree/25702/
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[41,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]+F[7,x]
F[6,x] = x*(1+F[6,x])*(F[6,x]^2+F[6,x]+1)
F[7,x] = F[8,x]
F[8,x] = F[41,x]*F[9,x]
F[9,x] = F[10,x]+F[11,x]
F[10,x] = F[4,x]*F[6,x]
F[11,x] = F[12,x]+F[85,x]
F[12,x] = F[13,x]+F[70,x]
F[13,x] = F[14,x]
F[14,x] = F[15,x]*F[41,x]
F[15,x] = -F[55,x]+F[16,x]
F[16,x] = 1/F[41,x]*F[17,x]
F[17,x] = F[18,x]
F[18,x] = F[19,x]*F[41,x]
F[19,x] = F[20,x]+F[52,x]
F[20,x] = F[21,x]+F[48,x]
F[21,x] = F[0,x]*F[22,x]
F[22,x] = F[23,x]
F[23,x] = F[24,x,1]
F[24,x,k[0]] = F[25,x,k[0]]+F[26,x,k[0]]
F[25,x,k[0]] = 1+x*F[25,x,k[0]]*(F[25,x,k[0]]^2-F[25,x,k[0]]+1)*k[0]
F[26,x,k[0]] = F[27,x,k[0]]
F[27,x,k[0]] = F[28,x,k[0]]*F[41,x]
F[28,x,k[0]] = F[29,x,k[0]]+F[43,x,k[0]]
F[29,x,k[0]] = F[24,x,k[0]]+F[30,x,k[0]]
F[30,x,k[0]] = F[31,x,k[0]]
F[31,x,k[0]] = F[32,x,k[0]]*F[41,x]
F[32,x,k[0]] = F[24,x,k[0]]+F[33,x,k[0]]
F[33,x,k[0]] = F[34,x,k[0]]
F[34,x,k[0]] = F[35,x,k[0]]*F[42,x,k[0]]
F[35,x,k[0]] = F[36,x,k[0]]+F[38,x,k[0]]
F[36,x,k[0]] = F[24,x,k[0]]*F[37,x,k[0]]
F[37,x,k[0]] = F[22,k[0]*x]
F[38,x,k[0]] = k[0]*F[39,x,k[0]]
F[39,x,k[0]] = F[40,x,k[0]]
F[40,x,k[0]] = F[25,x,k[0]]*F[32,x,k[0]]*F[37,x,k[0]]*F[41,x]
F[41,x] = x
F[42,x,k[0]] = k[0]*x
F[43,x,k[0]] = F[44,x,k[0]]
F[44,x,k[0]] = F[42,x,k[0]]*F[45,x,k[0]]
F[45,x,k[0]] = F[46,x,k[0]]+F[47,x,k[0]]
F[46,x,k[0]] = F[29,x,k[0]]*F[37,x,k[0]]
F[47,x,k[0]] = F[38,x,k[0]]
F[48,x] = F[49,x]
F[49,x] = F[4,x]*F[41,x]*F[50,x]
F[50,x] = F[51,x,1]
F[51,x,k[0]] = (F[37,x,k[0]]*k[0]-F[37,x,1])/(-1+k[0])
F[52,x] = F[53,x]
F[53,x] = F[22,x]*F[54,x]
F[54,x] = F[3,x]
F[55,x] = F[56,x]
F[56,x] = F[57,x]
F[57,x] = F[4,x]*F[41,x]*F[58,x]
F[58,x] = F[59,x]+F[60,x]
F[59,x] = 1+(F[59,x]^3-F[59,x]^2+F[59,x])*x
F[60,x] = F[61,x]
F[61,x] = F[62,x,1]
F[62,x,k[0]] = F[63,x,k[0]]
F[63,x,k[0]] = F[42,x,k[0]]*F[64,x,k[0]]
F[64,x,k[0]] = F[65,x,k[0]]+F[67,x,k[0]]
F[65,x,k[0]] = F[59,x]*F[66,x,k[0]]
F[66,x,k[0]] = F[37,x,k[0]]
F[67,x,k[0]] = F[68,x,k[0]]
F[68,x,k[0]] = F[25,x,k[0]]*F[41,x]*F[66,x,k[0]]*F[69,x]
F[69,x] = F[58,x]
F[70,x] = F[71,x]
F[71,x] = F[41,x]*F[72,x]
F[72,x] = F[73,x]+F[77,x]
F[73,x] = F[74,x]
F[74,x] = F[0,x]*F[75,x]
F[75,x] = F[76,x,1]
F[76,x,k[0]] = -k[0]*(F[62,x,1]-F[62,x,k[0]])/(-1+k[0])
F[77,x] = F[78,x]
F[78,x] = F[41,x]*F[79,x]*F[82,x]
F[79,x] = F[56,x]+F[80,x]
F[80,x] = F[59,x]*F[81,x]
F[81,x] = -F[56,x]+F[15,x]
F[82,x] = F[83,x,1]
F[83,x,k[0]] = (F[84,x,k[0]]*k[0]-F[84,x,1])/(-1+k[0])
F[84,x,k[0]] = F[59,x]+F[62,x,k[0]]
F[85,x] = F[86,x]
F[86,x] = F[41,x]*F[87,x]
F[87,x] = F[154,x]+F[88,x]
F[88,x] = F[89,x]+F[90,x]
F[89,x] = F[5,x]*F[50,x]
F[90,x] = F[91,x]
F[91,x] = F[113,x]*F[41,x]*F[92,x]
F[92,x] = F[93,x]
F[93,x] = F[41,x]*F[94,x]
F[94,x] = F[100,x]+F[95,x]
F[95,x] = F[96,x]+F[97,x]
F[96,x] = F[22,x]*F[4,x]
F[97,x] = F[98,x]
F[98,x] = F[41,x]*F[50,x]*F[99,x]
F[99,x] = F[4,x]+F[92,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[22,x]*F[41,x]*F[59,x]
F[102,x] = F[103,x]+F[4,x]
F[103,x] = F[104,x]+F[60,x]
F[104,x] = -F[112,x]+F[105,x]
F[105,x] = -F[108,x]+F[106,x]
F[106,x] = 1/F[41,x]*F[107,x]
F[107,x] = F[7,x]
F[108,x] = F[109,x]
F[109,x] = F[110,x]*F[41,x]
F[110,x] = 1/F[41,x]*F[111,x]
F[111,x] = F[92,x]
F[112,x] = F[2,x]+F[7,x]
F[113,x] = 1/F[41,x]*F[114,x]
F[114,x] = F[115,x]
F[115,x] = 1/F[41,x]*F[116,x]
F[116,x] = F[117,x]
F[117,x] = -F[146,x]+F[118,x]
F[118,x] = -F[121,x]+F[119,x]
F[119,x] = 1/F[41,x]*F[120,x]
F[120,x] = F[7,x]
F[121,x] = F[122,x]
F[122,x] = F[123,x]*F[41,x]
F[123,x] = 1/F[41,x]*F[124,x]
F[124,x] = F[125,x]
F[125,x] = F[126,x]+F[127,x]
F[126,x] = F[2,x]*F[22,x]
F[127,x] = F[128,x]
F[128,x] = F[129,x]*F[41,x]
F[129,x] = F[130,x]+F[136,x]
F[130,x] = F[131,x]+F[133,x]
F[131,x] = F[132,x]*F[50,x]
F[132,x] = F[2,x]+F[5,x]
F[133,x] = F[134,x]+F[90,x]
F[134,x] = F[135,x]
F[135,x] = F[113,x]*F[132,x]*F[41,x]
F[136,x] = F[137,x]
F[137,x] = F[138,x]+F[143,x]
F[138,x] = F[139,x]*F[2,x]
F[139,x] = F[140,x]
F[140,x] = F[141,x]*F[22,x]*F[41,x]
F[141,x] = F[142,x,1]
F[142,x,k[0]] = (F[25,x,k[0]]*k[0]-F[25,x,1])/(-1+k[0])
F[143,x] = F[144,x]
F[144,x] = F[141,x]*F[145,x]*F[22,x]*F[41,x]
F[145,x] = F[103,x]+F[5,x]
F[146,x] = F[147,x]+F[150,x]
F[147,x] = F[148,x,1]
F[148,x,k[0]] = -k[0]*(F[149,x,1]-F[149,x,k[0]])/(-1+k[0])
F[149,x,k[0]] = k[0]*x*(1+F[149,x,k[0]])*(F[149,x,k[0]]^2+F[149,x,k[0]]+1)
F[150,x] = F[151,x]
F[151,x] = F[152,x]*F[23,x]*F[41,x]
F[152,x] = F[153,x]
F[153,x] = F[141,x]*F[41,x]
F[154,x] = F[155,x]
F[155,x] = F[143,x]+F[156,x]
F[156,x] = F[0,x]*F[139,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_{41}\! \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 \right)+F_{7}\! \left(x \right)
F_{6}\! \left(x \right) = x F_{6} \left(x \right)^{3}+2 x F_{6} \left(x \right)^{2}+2 F_{6}\! \left(x \right) x +x
F_{7}\! \left(x \right) = F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{41}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{11}\! \left(x \right)
F_{10}\! \left(x \right) = F_{4}\! \left(x \right) F_{6}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{85}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{70}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{41}\! \left(x \right)
F_{15}\! \left(x \right) = -F_{55}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = \frac{F_{17}\! \left(x \right)}{F_{41}\! \left(x \right)}
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right) F_{41}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{52}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{48}\! \left(x \right)
F_{21}\! \left(x \right) = F_{0}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x , 1\right)
F_{24}\! \left(x , y\right) = F_{25}\! \left(x , y\right)+F_{26}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = x F_{25}\! \left(x , y\right)^{3} y -x F_{25}\! \left(x , y\right)^{2} y +x F_{25}\! \left(x , y\right) y +1
F_{26}\! \left(x , y\right) = F_{27}\! \left(x , y\right)
F_{27}\! \left(x , y\right) = F_{28}\! \left(x , y\right) F_{41}\! \left(x \right)
F_{28}\! \left(x , y\right) = F_{29}\! \left(x , y\right)+F_{43}\! \left(x , y\right)
F_{29}\! \left(x , y\right) = F_{24}\! \left(x , y\right)+F_{30}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{31}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{32}\! \left(x , y\right) F_{41}\! \left(x \right)
F_{32}\! \left(x , y\right) = F_{24}\! \left(x , y\right)+F_{33}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{34}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{35}\! \left(x , y\right) F_{42}\! \left(x , y\right)
F_{35}\! \left(x , y\right) = F_{36}\! \left(x , y\right)+F_{38}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{24}\! \left(x , y\right) F_{37}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{22}\! \left(y x \right)
F_{38}\! \left(x , y\right) = y F_{39}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{40}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{32}\! \left(x , y\right) F_{37}\! \left(x , y\right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = x
F_{42}\! \left(x , y\right) = y x
F_{43}\! \left(x , y\right) = F_{44}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{42}\! \left(x , y\right) F_{45}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{46}\! \left(x , y\right)+F_{47}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{29}\! \left(x , y\right) F_{37}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = F_{38}\! \left(x , y\right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{4}\! \left(x \right) F_{41}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x , 1\right)
F_{51}\! \left(x , y\right) = -\frac{-F_{37}\! \left(x , y\right) y +F_{37}\! \left(x , 1\right)}{-1+y}
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{22}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{3}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{4}\! \left(x \right) F_{41}\! \left(x \right) F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)+F_{60}\! \left(x \right)
F_{59}\! \left(x \right) = x F_{59} \left(x \right)^{3}-x F_{59} \left(x \right)^{2}+x F_{59}\! \left(x \right)+1
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x , 1\right)
F_{62}\! \left(x , y\right) = F_{63}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{42}\! \left(x , y\right) F_{64}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{65}\! \left(x , y\right)+F_{67}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{59}\! \left(x \right) F_{66}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = F_{37}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{68}\! \left(x , y\right)
F_{68}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{41}\! \left(x \right) F_{66}\! \left(x , y\right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{58}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{41}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{77}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{0}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x , 1\right)
F_{76}\! \left(x , y\right) = -\frac{y \left(F_{62}\! \left(x , 1\right)-F_{62}\! \left(x , y\right)\right)}{-1+y}
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{41}\! \left(x \right) F_{79}\! \left(x \right) F_{82}\! \left(x \right)
F_{79}\! \left(x \right) = F_{56}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{59}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = -F_{56}\! \left(x \right)+F_{15}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x , 1\right)
F_{83}\! \left(x , y\right) = -\frac{-F_{84}\! \left(x , y\right) y +F_{84}\! \left(x , 1\right)}{-1+y}
F_{84}\! \left(x , y\right) = F_{59}\! \left(x \right)+F_{62}\! \left(x , y\right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{41}\! \left(x \right) F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{154}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)+F_{90}\! \left(x \right)
F_{89}\! \left(x \right) = F_{5}\! \left(x \right) F_{50}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{113}\! \left(x \right) F_{41}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{41}\! \left(x \right) F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{100}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)+F_{97}\! \left(x \right)
F_{96}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{41}\! \left(x \right) F_{50}\! \left(x \right) F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{4}\! \left(x \right)+F_{92}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{22}\! \left(x \right) F_{41}\! \left(x \right) F_{59}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{4}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{60}\! \left(x \right)
F_{104}\! \left(x \right) = -F_{112}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = -F_{108}\! \left(x \right)+F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = \frac{F_{107}\! \left(x \right)}{F_{41}\! \left(x \right)}
F_{107}\! \left(x \right) = F_{7}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right) F_{41}\! \left(x \right)
F_{110}\! \left(x \right) = \frac{F_{111}\! \left(x \right)}{F_{41}\! \left(x \right)}
F_{111}\! \left(x \right) = F_{92}\! \left(x \right)
F_{112}\! \left(x \right) = F_{2}\! \left(x \right)+F_{7}\! \left(x \right)
F_{113}\! \left(x \right) = \frac{F_{114}\! \left(x \right)}{F_{41}\! \left(x \right)}
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = \frac{F_{116}\! \left(x \right)}{F_{41}\! \left(x \right)}
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = -F_{146}\! \left(x \right)+F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = -F_{121}\! \left(x \right)+F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = \frac{F_{120}\! \left(x \right)}{F_{41}\! \left(x \right)}
F_{120}\! \left(x \right) = F_{7}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right) F_{41}\! \left(x \right)
F_{123}\! \left(x \right) = \frac{F_{124}\! \left(x \right)}{F_{41}\! \left(x \right)}
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{127}\! \left(x \right)
F_{126}\! \left(x \right) = F_{2}\! \left(x \right) F_{22}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right) F_{41}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{136}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{133}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right) F_{50}\! \left(x \right)
F_{132}\! \left(x \right) = F_{2}\! \left(x \right)+F_{5}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{90}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{113}\! \left(x \right) F_{132}\! \left(x \right) F_{41}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{143}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right) F_{2}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right) F_{22}\! \left(x \right) F_{41}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x , 1\right)
F_{142}\! \left(x , y\right) = -\frac{-y F_{25}\! \left(x , y\right)+F_{25}\! \left(x , 1\right)}{-1+y}
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{141}\! \left(x \right) F_{145}\! \left(x \right) F_{22}\! \left(x \right) F_{41}\! \left(x \right)
F_{145}\! \left(x \right) = F_{103}\! \left(x \right)+F_{5}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)+F_{150}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x , 1\right)
F_{148}\! \left(x , y\right) = -\frac{y \left(F_{149}\! \left(x , 1\right)-F_{149}\! \left(x , y\right)\right)}{-1+y}
F_{149}\! \left(x , y\right) = x F_{149}\! \left(x , y\right)^{3} y +2 x F_{149}\! \left(x , y\right)^{2} y +2 x F_{149}\! \left(x , y\right) y +y x
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right) F_{23}\! \left(x \right) F_{41}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{141}\! \left(x \right) F_{41}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{143}\! \left(x \right)+F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{0}\! \left(x \right) F_{139}\! \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_41(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x) + F_7(x))
Eq(F_6(x), x*(F_6(x) + 1)**3 - x*(F_6(x) + 1)**2 + (x - 1)*(F_6(x) + 1) + F_6(x) + 1)
Eq(F_7(x), F_8(x))
Eq(F_8(x), F_41(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_11(x))
Eq(F_10(x), F_4(x)*F_6(x))
Eq(F_11(x), F_12(x) + F_85(x))
Eq(F_12(x), F_13(x) + F_70(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x)*F_41(x))
Eq(F_15(x), F_16(x) - F_55(x))
Eq(F_16(x), F_17(x)/F_41(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_19(x)*F_41(x))
Eq(F_19(x), F_20(x) + F_52(x))
Eq(F_20(x), F_21(x) + F_48(x))
Eq(F_21(x), F_0(x)*F_22(x))
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_24(x, 1))
Eq(F_24(x, k_0), F_25(x, k_0) + F_26(x, k_0))
Eq(F_25(x, k_0), k_0*x*F_25(x, k_0)**3 - k_0*x*F_25(x, k_0)**2 + k_0*x*F_25(x, k_0) + 1)
Eq(F_26(x, k_0), F_27(x, k_0))
Eq(F_27(x, k_0), F_28(x, k_0)*F_41(x))
Eq(F_28(x, k_0), F_29(x, k_0) + F_43(x, k_0))
Eq(F_29(x, k_0), F_24(x, k_0) + F_30(x, k_0))
Eq(F_30(x, k_0), F_31(x, k_0))
Eq(F_31(x, k_0), F_32(x, k_0)*F_41(x))
Eq(F_32(x, k_0), F_24(x, k_0) + F_33(x, k_0))
Eq(F_33(x, k_0), F_34(x, k_0))
Eq(F_34(x, k_0), F_35(x, k_0)*F_42(x, k_0))
Eq(F_35(x, k_0), F_36(x, k_0) + F_38(x, k_0))
Eq(F_36(x, k_0), F_24(x, k_0)*F_37(x, k_0))
Eq(F_37(x, k_0), F_22(k_0*x))
Eq(F_38(x, k_0), k_0*F_39(x, k_0))
Eq(F_39(x, k_0), F_40(x, k_0))
Eq(F_40(x, k_0), F_25(x, k_0)*F_32(x, k_0)*F_37(x, k_0)*F_41(x))
Eq(F_41(x), x)
Eq(F_42(x, k_0), k_0*x)
Eq(F_43(x, k_0), F_44(x, k_0))
Eq(F_44(x, k_0), F_42(x, k_0)*F_45(x, k_0))
Eq(F_45(x, k_0), F_46(x, k_0) + F_47(x, k_0))
Eq(F_46(x, k_0), F_29(x, k_0)*F_37(x, k_0))
Eq(F_47(x, k_0), F_38(x, k_0))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_4(x)*F_41(x)*F_50(x))
Eq(F_50(x), F_51(x, 1))
Eq(F_51(x, k_0), (-k_0*F_37(x, k_0) + F_37(x, 1))/(1 - k_0))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_22(x)*F_54(x))
Eq(F_54(x), F_3(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_57(x))
Eq(F_57(x), F_4(x)*F_41(x)*F_58(x))
Eq(F_58(x), F_59(x) + F_60(x))
Eq(F_59(x), x*F_59(x)**3 - x*F_59(x)**2 + x*F_59(x) + 1)
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_62(x, 1))
Eq(F_62(x, k_0), F_63(x, k_0))
Eq(F_63(x, k_0), F_42(x, k_0)*F_64(x, k_0))
Eq(F_64(x, k_0), F_65(x, k_0) + F_67(x, k_0))
Eq(F_65(x, k_0), F_59(x)*F_66(x, k_0))
Eq(F_66(x, k_0), F_37(x, k_0))
Eq(F_67(x, k_0), F_68(x, k_0))
Eq(F_68(x, k_0), F_25(x, k_0)*F_41(x)*F_66(x, k_0)*F_69(x))
Eq(F_69(x), F_58(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_41(x)*F_72(x))
Eq(F_72(x), F_73(x) + F_77(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_0(x)*F_75(x))
Eq(F_75(x), F_76(x, 1))
Eq(F_76(x, k_0), -F_62(x, 1) + (-k_0*F_62(x, k_0) + F_62(x, 1))/(1 - k_0))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_41(x)*F_79(x)*F_82(x))
Eq(F_79(x), F_56(x) + F_80(x))
Eq(F_80(x), F_59(x)*F_81(x))
Eq(F_81(x), F_15(x) - F_56(x))
Eq(F_82(x), F_83(x, 1))
Eq(F_83(x, k_0), (-k_0*F_84(x, k_0) + F_84(x, 1))/(1 - k_0))
Eq(F_84(x, k_0), F_59(x) + F_62(x, k_0))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_41(x)*F_87(x))
Eq(F_87(x), F_154(x) + F_88(x))
Eq(F_88(x), F_89(x) + F_90(x))
Eq(F_89(x), F_5(x)*F_50(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_113(x)*F_41(x)*F_92(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_41(x)*F_94(x))
Eq(F_94(x), F_100(x) + F_95(x))
Eq(F_95(x), F_96(x) + F_97(x))
Eq(F_96(x), F_22(x)*F_4(x))
Eq(F_97(x), F_98(x))
Eq(F_98(x), F_41(x)*F_50(x)*F_99(x))
Eq(F_99(x), F_4(x) + F_92(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_22(x)*F_41(x)*F_59(x))
Eq(F_102(x), F_103(x) + F_4(x))
Eq(F_103(x), F_104(x) + F_60(x))
Eq(F_104(x), F_105(x) - F_112(x))
Eq(F_105(x), F_106(x) - F_108(x))
Eq(F_106(x), F_107(x)/F_41(x))
Eq(F_107(x), F_7(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x)*F_41(x))
Eq(F_110(x), F_111(x)/F_41(x))
Eq(F_111(x), F_92(x))
Eq(F_112(x), F_2(x) + F_7(x))
Eq(F_113(x), F_114(x)/F_41(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x)/F_41(x))
Eq(F_116(x), F_117(x))
Eq(F_117(x), F_118(x) - F_146(x))
Eq(F_118(x), F_119(x) - F_121(x))
Eq(F_119(x), F_120(x)/F_41(x))
Eq(F_120(x), F_7(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_123(x)*F_41(x))
Eq(F_123(x), F_124(x)/F_41(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_126(x) + F_127(x))
Eq(F_126(x), F_2(x)*F_22(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_129(x)*F_41(x))
Eq(F_129(x), F_130(x) + F_136(x))
Eq(F_130(x), F_131(x) + F_133(x))
Eq(F_131(x), F_132(x)*F_50(x))
Eq(F_132(x), F_2(x) + F_5(x))
Eq(F_133(x), F_134(x) + F_90(x))
Eq(F_134(x), F_135(x))
Eq(F_135(x), F_113(x)*F_132(x)*F_41(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), F_138(x) + F_143(x))
Eq(F_138(x), F_139(x)*F_2(x))
Eq(F_139(x), F_140(x))
Eq(F_140(x), F_141(x)*F_22(x)*F_41(x))
Eq(F_141(x), F_142(x, 1))
Eq(F_142(x, k_0), (-k_0*F_25(x, k_0) + F_25(x, 1))/(1 - k_0))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_141(x)*F_145(x)*F_22(x)*F_41(x))
Eq(F_145(x), F_103(x) + F_5(x))
Eq(F_146(x), F_147(x) + F_150(x))
Eq(F_147(x), F_148(x, 1))
Eq(F_148(x, k_0), -F_149(x, 1) + (-k_0*F_149(x, k_0) + F_149(x, 1))/(1 - k_0))
Eq(F_149(x, k_0), k_0*x*(F_149(x, k_0) + 1)**3 - k_0*x*(F_149(x, k_0) + 1)**2 + (k_0*x - 1)*(F_149(x, k_0) + 1) + F_149(x, k_0) + 1)
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_152(x)*F_23(x)*F_41(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_141(x)*F_41(x))
Eq(F_154(x), F_155(x))
Eq(F_155(x), F_143(x) + F_156(x))
Eq(F_156(x), F_0(x)*F_139(x))
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}, {"class_module": "tilings.strategies.monotone_sliding", "strategy_class": "MonotoneSlidingFactory"}, {"class_module": "tilings.strategies.point_jumping", "strategy_class": "AssumptionAndPointJumpingFactory"}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}], [{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "FusableRowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": null}], "iterative": false}
Specification JSON:
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{"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"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, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"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]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2], "pos": [[0, 0], [1, 0], [1, 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, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "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]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 0, "tracked": true}}, {"class_module": "tilings.strategies.fusion.fusion", "rule_class": "FusionRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2], "pos": [[0, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [2, 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, 1], "pos": [[1, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 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": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"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, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"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]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2], "pos": [[0, 0], [1, 0], [1, 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, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "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": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 0, "tracked": true}}]}

Specification 5
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25927/
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[21,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]+F[7,x]
F[6,x] = x*(1+F[6,x])*(F[6,x]^2+F[6,x]+1)
F[7,x] = F[8,x]
F[8,x] = F[21,x]*F[9,x]
F[9,x] = F[10,x]+F[11,x]
F[10,x] = F[4,x]*F[6,x]
F[11,x] = F[12,x]+F[199,x]
F[12,x] = F[13,x]+F[170,x]
F[13,x] = F[14,x]
F[14,x] = F[15,x]*F[21,x]
F[15,x] = -F[167,x]+F[16,x]
F[16,x] = 1/F[21,x]*F[17,x]
F[17,x] = F[18,x]
F[18,x] = F[19,x]+F[22,x]
F[19,x] = F[20,x]*F[6,x]
F[20,x] = F[1,x]+F[21,x]
F[21,x] = x
F[22,x] = F[23,x]
F[23,x] = F[21,x]*F[24,x]
F[24,x] = F[164,x]+F[25,x]
F[25,x] = F[161,x]+F[26,x]
F[26,x] = F[27,x]*F[4,x]
F[27,x] = F[28,x]+F[6,x]
F[28,x] = -F[34,x]+F[29,x]
F[29,x] = 1/F[21,x]/F[6,x]*F[30,x]
F[30,x] = F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[21,x]*F[33,x]*F[47,x]
F[33,x] = F[34,x]+F[35,x]
F[34,x] = 1+(F[34,x]^3-F[34,x]^2+F[34,x])*x
F[35,x] = F[36,x]
F[36,x] = F[21,x]*F[37,x]
F[37,x] = 1/F[21,x]*F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[40,x]+F[6,x]
F[40,x] = F[41,x]
F[41,x] = F[21,x]*F[42,x]*F[45,x]
F[42,x] = F[34,x]+F[43,x]
F[43,x] = F[44,x]
F[44,x] = F[34,x]^2*F[21,x]*F[42,x]
F[45,x] = F[46,x]+F[6,x]
F[46,x] = F[34,x]*F[6,x]
F[47,x] = F[21,x]+F[48,x]
F[48,x] = F[49,x]
F[49,x] = F[21,x]*F[50,x]
F[50,x] = F[51,x]+F[55,x]
F[51,x] = F[52,x]+F[53,x]
F[52,x] = F[21,x]*F[34,x]
F[53,x] = F[54,x]
F[54,x] = F[34,x]^2*F[21,x]*F[50,x]
F[55,x] = F[56,x]+F[57,x]
F[56,x] = F[21,x]*F[34,x]
F[57,x] = F[48,x]+F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[158,x]*F[21,x]*F[60,x]
F[60,x] = F[48,x]+F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[21,x]*F[63,x]
F[63,x] = F[157,x]+F[64,x]
F[64,x] = F[34,x]*F[65,x]
F[65,x] = F[66,x]
F[66,x] = F[21,x]*F[67,x]
F[67,x] = 1/F[34,x]*F[68,x]
F[68,x] = -F[152,x]+F[69,x]
F[69,x] = -F[151,x]+F[70,x]
F[70,x] = 1/F[21,x]*F[71,x]
F[71,x] = F[72,x]
F[72,x] = F[73,x]+F[78,x]
F[73,x] = -F[77,x]+F[74,x]
F[74,x] = F[29,x]+F[75,x]
F[75,x] = F[76,x]
F[76,x] = F[21,x]*F[29,x]*F[34,x]*F[42,x]
F[77,x] = F[34,x]^2
F[78,x] = F[79,x]
F[79,x] = F[21,x]*F[80,x]
F[80,x] = F[148,x]+F[81,x]
F[81,x] = 1/F[21,x]*F[82,x]
F[82,x] = F[83,x]
F[83,x] = F[84,x]
F[84,x] = -F[147,x]+F[85,x]
F[85,x] = -F[88,x]+F[86,x]
F[86,x] = 1/F[21,x]*F[87,x]
F[87,x] = F[7,x]
F[88,x] = F[89,x]
F[89,x] = F[21,x]*F[90,x]
F[90,x] = 1/F[21,x]*F[91,x]
F[91,x] = F[92,x]
F[92,x] = F[107,x]+F[93,x]
F[93,x] = F[2,x]*F[94,x]
F[94,x] = 1/F[0,x]*F[95,x]
F[95,x] = -F[98,x]+F[96,x]
F[96,x] = 1/F[21,x]*F[97,x]
F[97,x] = F[5,x]
F[98,x] = F[107,x]+F[99,x]
F[99,x] = F[100,x]
F[100,x] = F[101,x]*F[21,x]
F[101,x] = F[102,x]+F[105,x]
F[102,x] = 1/F[21,x]*F[103,x]
F[103,x] = F[104,x]
F[104,x] = F[28,x]+F[83,x]
F[105,x] = F[106,x]
F[106,x] = F[21,x]*F[29,x]*F[94,x]
F[107,x] = F[108,x]
F[108,x] = F[109,x]*F[21,x]
F[109,x] = F[110,x]+F[141,x]
F[110,x] = F[111,x]+F[113,x]
F[111,x] = F[112,x]*F[67,x]
F[112,x] = F[2,x]+F[5,x]
F[113,x] = F[114,x]+F[118,x]
F[114,x] = F[115,x]
F[115,x] = F[112,x]*F[116,x]*F[21,x]
F[116,x] = 1/F[21,x]*F[117,x]
F[117,x] = F[81,x]
F[118,x] = F[119,x]
F[119,x] = F[116,x]*F[120,x]*F[21,x]
F[120,x] = F[121,x]
F[121,x] = F[122,x]*F[21,x]
F[122,x] = F[123,x]+F[128,x]
F[123,x] = F[124,x]+F[125,x]
F[124,x] = F[4,x]*F[94,x]
F[125,x] = F[126,x]
F[126,x] = F[127,x]*F[21,x]*F[67,x]
F[127,x] = F[120,x]+F[4,x]
F[128,x] = F[129,x]
F[129,x] = F[130,x]*F[21,x]*F[34,x]*F[94,x]
F[130,x] = F[131,x]+F[4,x]
F[131,x] = F[132,x]+F[39,x]
F[132,x] = -F[140,x]+F[133,x]
F[133,x] = -F[136,x]+F[134,x]
F[134,x] = 1/F[21,x]*F[135,x]
F[135,x] = F[7,x]
F[136,x] = F[137,x]
F[137,x] = F[138,x]*F[21,x]
F[138,x] = 1/F[21,x]*F[139,x]
F[139,x] = F[120,x]
F[140,x] = F[2,x]+F[7,x]
F[141,x] = F[142,x]
F[142,x] = F[143,x]+F[144,x]
F[143,x] = F[105,x]*F[2,x]
F[144,x] = F[145,x]
F[145,x] = F[146,x]*F[21,x]*F[29,x]*F[94,x]
F[146,x] = F[131,x]+F[5,x]
F[147,x] = F[28,x]+F[31,x]
F[148,x] = F[149,x]
F[149,x] = F[116,x]*F[150,x]*F[21,x]
F[150,x] = F[39,x]+F[6,x]
F[151,x] = F[80,x]
F[152,x] = F[153,x]
F[153,x] = -F[154,x]+F[70,x]
F[154,x] = F[102,x]+F[155,x]
F[155,x] = F[148,x]+F[156,x]
F[156,x] = F[6,x]*F[67,x]
F[157,x] = F[47,x]*F[94,x]
F[158,x] = F[159,x]+F[34,x]
F[159,x] = F[160,x]
F[160,x] = F[34,x]^2*F[158,x]*F[21,x]
F[161,x] = F[162,x]*F[6,x]
F[162,x] = F[163,x]
F[163,x] = F[127,x]*F[21,x]
F[164,x] = F[165,x]*F[6,x]
F[165,x] = F[166,x]
F[166,x] = F[130,x]*F[21,x]
F[167,x] = F[168,x]
F[168,x] = F[169,x]
F[169,x] = F[21,x]*F[4,x]*F[42,x]
F[170,x] = F[171,x]
F[171,x] = F[172,x]*F[21,x]
F[172,x] = F[173,x]+F[193,x]
F[173,x] = F[174,x]
F[174,x] = F[0,x]*F[175,x]
F[175,x] = -F[192,x]+F[176,x]
F[176,x] = 1/F[21,x]/F[4,x]*F[177,x]
F[177,x] = F[178,x]
F[178,x] = -F[191,x]+F[179,x]
F[179,x] = -F[158,x]+F[180,x]
F[180,x] = -F[186,x]+F[181,x]
F[181,x] = -F[184,x]+F[182,x]
F[182,x] = 1/F[21,x]*F[183,x]
F[183,x] = F[18,x]
F[184,x] = F[185,x]
F[185,x] = F[158,x]*F[21,x]*F[4,x]
F[186,x] = F[187,x]+F[51,x]
F[187,x] = F[188,x]
F[188,x] = F[112,x]*F[189,x]*F[21,x]
F[189,x] = 1/F[21,x]/F[4,x]*F[190,x]
F[190,x] = F[186,x]
F[191,x] = F[2,x]*F[34,x]
F[192,x] = -F[34,x]+F[158,x]
F[193,x] = F[194,x]
F[194,x] = F[195,x]*F[198,x]*F[21,x]
F[195,x] = F[168,x]+F[196,x]
F[196,x] = F[197,x]*F[34,x]
F[197,x] = -F[168,x]+F[15,x]
F[198,x] = F[158,x]+F[175,x]
F[199,x] = F[200,x]
F[200,x] = F[201,x]*F[21,x]
F[201,x] = F[202,x]+F[204,x]
F[202,x] = F[118,x]+F[203,x]
F[203,x] = F[5,x]*F[67,x]
F[204,x] = F[205,x]
F[205,x] = F[144,x]+F[206,x]
F[206,x] = F[0,x]*F[105,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_{21}\! \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 \right)+F_{7}\! \left(x \right)
F_{6}\! \left(x \right) = x F_{6} \left(x \right)^{3}+2 x F_{6} \left(x \right)^{2}+2 F_{6}\! \left(x \right) x +x
F_{7}\! \left(x \right) = F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{21}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{11}\! \left(x \right)
F_{10}\! \left(x \right) = F_{4}\! \left(x \right) F_{6}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{199}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{170}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{21}\! \left(x \right)
F_{15}\! \left(x \right) = -F_{167}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = \frac{F_{17}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{22}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right) F_{6}\! \left(x \right)
F_{20}\! \left(x \right) = F_{1}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = x
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{21}\! \left(x \right) F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{164}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{161}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right) F_{4}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{6}\! \left(x \right)
F_{28}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{21}\! \left(x \right) F_{6}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{21}\! \left(x \right) F_{33}\! \left(x \right) F_{47}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{35}\! \left(x \right)
F_{34}\! \left(x \right) = x F_{34} \left(x \right)^{3}-x F_{34} \left(x \right)^{2}+x F_{34}\! \left(x \right)+1
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{21}\! \left(x \right) F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = \frac{F_{38}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{6}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{21}\! \left(x \right) F_{42}\! \left(x \right) F_{45}\! \left(x \right)
F_{42}\! \left(x \right) = F_{34}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{34} \left(x \right)^{2} F_{21}\! \left(x \right) F_{42}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{6}\! \left(x \right)
F_{46}\! \left(x \right) = F_{34}\! \left(x \right) F_{6}\! \left(x \right)
F_{47}\! \left(x \right) = F_{21}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{21}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{55}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{53}\! \left(x \right)
F_{52}\! \left(x \right) = F_{21}\! \left(x \right) F_{34}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{34} \left(x \right)^{2} F_{21}\! \left(x \right) F_{50}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)+F_{57}\! \left(x \right)
F_{56}\! \left(x \right) = F_{21}\! \left(x \right) F_{34}\! \left(x \right)
F_{57}\! \left(x \right) = F_{48}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{158}\! \left(x \right) F_{21}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{48}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{21}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{157}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{34}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{21}\! \left(x \right) F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = \frac{F_{68}\! \left(x \right)}{F_{34}\! \left(x \right)}
F_{68}\! \left(x \right) = -F_{152}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = -F_{151}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = \frac{F_{71}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{78}\! \left(x \right)
F_{73}\! \left(x \right) = -F_{77}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{29}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{21}\! \left(x \right) F_{29}\! \left(x \right) F_{34}\! \left(x \right) F_{42}\! \left(x \right)
F_{77}\! \left(x \right) = F_{34} \left(x \right)^{2}
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{21}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{148}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = \frac{F_{82}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = -F_{147}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = -F_{88}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{87}\! \left(x \right) = F_{7}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{21}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = \frac{F_{91}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{107}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{2}\! \left(x \right) F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = \frac{F_{95}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{95}\! \left(x \right) = -F_{98}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = \frac{F_{97}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{97}\! \left(x \right) = F_{5}\! \left(x \right)
F_{98}\! \left(x \right) = F_{107}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{21}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{105}\! \left(x \right)
F_{102}\! \left(x \right) = \frac{F_{103}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{28}\! \left(x \right)+F_{83}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{21}\! \left(x \right) F_{29}\! \left(x \right) F_{94}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right) F_{21}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{141}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{113}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right) F_{67}\! \left(x \right)
F_{112}\! \left(x \right) = F_{2}\! \left(x \right)+F_{5}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{118}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{112}\! \left(x \right) F_{116}\! \left(x \right) F_{21}\! \left(x \right)
F_{116}\! \left(x \right) = \frac{F_{117}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{117}\! \left(x \right) = F_{81}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{116}\! \left(x \right) F_{120}\! \left(x \right) F_{21}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right) F_{21}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)+F_{128}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{125}\! \left(x \right)
F_{124}\! \left(x \right) = F_{4}\! \left(x \right) F_{94}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{21}\! \left(x \right) F_{67}\! \left(x \right)
F_{127}\! \left(x \right) = F_{120}\! \left(x \right)+F_{4}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right) F_{21}\! \left(x \right) F_{34}\! \left(x \right) F_{94}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{4}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{39}\! \left(x \right)
F_{132}\! \left(x \right) = -F_{140}\! \left(x \right)+F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = -F_{136}\! \left(x \right)+F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = \frac{F_{135}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{135}\! \left(x \right) = F_{7}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right) F_{21}\! \left(x \right)
F_{138}\! \left(x \right) = \frac{F_{139}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{139}\! \left(x \right) = F_{120}\! \left(x \right)
F_{140}\! \left(x \right) = F_{2}\! \left(x \right)+F_{7}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{144}\! \left(x \right)
F_{143}\! \left(x \right) = F_{105}\! \left(x \right) F_{2}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right) F_{21}\! \left(x \right) F_{29}\! \left(x \right) F_{94}\! \left(x \right)
F_{146}\! \left(x \right) = F_{131}\! \left(x \right)+F_{5}\! \left(x \right)
F_{147}\! \left(x \right) = F_{28}\! \left(x \right)+F_{31}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{116}\! \left(x \right) F_{150}\! \left(x \right) F_{21}\! \left(x \right)
F_{150}\! \left(x \right) = F_{39}\! \left(x \right)+F_{6}\! \left(x \right)
F_{151}\! \left(x \right) = F_{80}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = -F_{154}\! \left(x \right)+F_{70}\! \left(x \right)
F_{154}\! \left(x \right) = F_{102}\! \left(x \right)+F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{148}\! \left(x \right)+F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{6}\! \left(x \right) F_{67}\! \left(x \right)
F_{157}\! \left(x \right) = F_{47}\! \left(x \right) F_{94}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)+F_{34}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = F_{34} \left(x \right)^{2} F_{158}\! \left(x \right) F_{21}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right) F_{6}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{127}\! \left(x \right) F_{21}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right) F_{6}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{130}\! \left(x \right) F_{21}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)
F_{169}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right) F_{42}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right) F_{21}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{193}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{0}\! \left(x \right) F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = -F_{192}\! \left(x \right)+F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = \frac{F_{177}\! \left(x \right)}{F_{21}\! \left(x \right) F_{4}\! \left(x \right)}
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = -F_{191}\! \left(x \right)+F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = -F_{158}\! \left(x \right)+F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = -F_{186}\! \left(x \right)+F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = -F_{184}\! \left(x \right)+F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = \frac{F_{183}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{183}\! \left(x \right) = F_{18}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{158}\! \left(x \right) F_{21}\! \left(x \right) F_{4}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)+F_{51}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{112}\! \left(x \right) F_{189}\! \left(x \right) F_{21}\! \left(x \right)
F_{189}\! \left(x \right) = \frac{F_{190}\! \left(x \right)}{F_{21}\! \left(x \right) F_{4}\! \left(x \right)}
F_{190}\! \left(x \right) = F_{186}\! \left(x \right)
F_{191}\! \left(x \right) = F_{2}\! \left(x \right) F_{34}\! \left(x \right)
F_{192}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{158}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right) F_{198}\! \left(x \right) F_{21}\! \left(x \right)
F_{195}\! \left(x \right) = F_{168}\! \left(x \right)+F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right) F_{34}\! \left(x \right)
F_{197}\! \left(x \right) = -F_{168}\! \left(x \right)+F_{15}\! \left(x \right)
F_{198}\! \left(x \right) = F_{158}\! \left(x \right)+F_{175}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right) F_{21}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)+F_{204}\! \left(x \right)
F_{202}\! \left(x \right) = F_{118}\! \left(x \right)+F_{203}\! \left(x \right)
F_{203}\! \left(x \right) = F_{5}\! \left(x \right) F_{67}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{144}\! \left(x \right)+F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{0}\! \left(x \right) F_{105}\! \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_21(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x) + F_7(x))
Eq(F_6(x), x*(F_6(x) + 1)**3 - x*(F_6(x) + 1)**2 + (x - 1)*(F_6(x) + 1) + F_6(x) + 1)
Eq(F_7(x), F_8(x))
Eq(F_8(x), F_21(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_11(x))
Eq(F_10(x), F_4(x)*F_6(x))
Eq(F_11(x), F_12(x) + F_199(x))
Eq(F_12(x), F_13(x) + F_170(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x)*F_21(x))
Eq(F_15(x), F_16(x) - F_167(x))
Eq(F_16(x), F_17(x)/F_21(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_19(x) + F_22(x))
Eq(F_19(x), F_20(x)*F_6(x))
Eq(F_20(x), F_1(x) + F_21(x))
Eq(F_21(x), x)
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_21(x)*F_24(x))
Eq(F_24(x), F_164(x) + F_25(x))
Eq(F_25(x), F_161(x) + F_26(x))
Eq(F_26(x), F_27(x)*F_4(x))
Eq(F_27(x), F_28(x) + F_6(x))
Eq(F_28(x), F_29(x) - F_34(x))
Eq(F_29(x), F_30(x)/(F_21(x)*F_6(x)))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_21(x)*F_33(x)*F_47(x))
Eq(F_33(x), F_34(x) + F_35(x))
Eq(F_34(x), x*F_34(x)**3 - x*F_34(x)**2 + x*F_34(x) + 1)
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_21(x)*F_37(x))
Eq(F_37(x), F_38(x)/F_21(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_40(x) + F_6(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_21(x)*F_42(x)*F_45(x))
Eq(F_42(x), F_34(x) + F_43(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_21(x)*F_34(x)**2*F_42(x))
Eq(F_45(x), F_46(x) + F_6(x))
Eq(F_46(x), F_34(x)*F_6(x))
Eq(F_47(x), F_21(x) + F_48(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_21(x)*F_50(x))
Eq(F_50(x), F_51(x) + F_55(x))
Eq(F_51(x), F_52(x) + F_53(x))
Eq(F_52(x), F_21(x)*F_34(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_21(x)*F_34(x)**2*F_50(x))
Eq(F_55(x), F_56(x) + F_57(x))
Eq(F_56(x), F_21(x)*F_34(x))
Eq(F_57(x), F_48(x) + F_58(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_158(x)*F_21(x)*F_60(x))
Eq(F_60(x), F_48(x) + F_61(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_21(x)*F_63(x))
Eq(F_63(x), F_157(x) + F_64(x))
Eq(F_64(x), F_34(x)*F_65(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_21(x)*F_67(x))
Eq(F_67(x), F_68(x)/F_34(x))
Eq(F_68(x), -F_152(x) + F_69(x))
Eq(F_69(x), -F_151(x) + F_70(x))
Eq(F_70(x), F_71(x)/F_21(x))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_73(x) + F_78(x))
Eq(F_73(x), F_74(x) - F_77(x))
Eq(F_74(x), F_29(x) + F_75(x))
Eq(F_75(x), F_76(x))
Eq(F_76(x), F_21(x)*F_29(x)*F_34(x)*F_42(x))
Eq(F_77(x), F_34(x)**2)
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_21(x)*F_80(x))
Eq(F_80(x), F_148(x) + F_81(x))
Eq(F_81(x), F_82(x)/F_21(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), -F_147(x) + F_85(x))
Eq(F_85(x), F_86(x) - F_88(x))
Eq(F_86(x), F_87(x)/F_21(x))
Eq(F_87(x), F_7(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_21(x)*F_90(x))
Eq(F_90(x), F_91(x)/F_21(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_107(x) + F_93(x))
Eq(F_93(x), F_2(x)*F_94(x))
Eq(F_94(x), F_95(x)/F_0(x))
Eq(F_95(x), F_96(x) - F_98(x))
Eq(F_96(x), F_97(x)/F_21(x))
Eq(F_97(x), F_5(x))
Eq(F_98(x), F_107(x) + F_99(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_101(x)*F_21(x))
Eq(F_101(x), F_102(x) + F_105(x))
Eq(F_102(x), F_103(x)/F_21(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_28(x) + F_83(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_21(x)*F_29(x)*F_94(x))
Eq(F_107(x), F_108(x))
Eq(F_108(x), F_109(x)*F_21(x))
Eq(F_109(x), F_110(x) + F_141(x))
Eq(F_110(x), F_111(x) + F_113(x))
Eq(F_111(x), F_112(x)*F_67(x))
Eq(F_112(x), F_2(x) + F_5(x))
Eq(F_113(x), F_114(x) + F_118(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_112(x)*F_116(x)*F_21(x))
Eq(F_116(x), F_117(x)/F_21(x))
Eq(F_117(x), F_81(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_116(x)*F_120(x)*F_21(x))
Eq(F_120(x), F_121(x))
Eq(F_121(x), F_122(x)*F_21(x))
Eq(F_122(x), F_123(x) + F_128(x))
Eq(F_123(x), F_124(x) + F_125(x))
Eq(F_124(x), F_4(x)*F_94(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_127(x)*F_21(x)*F_67(x))
Eq(F_127(x), F_120(x) + F_4(x))
Eq(F_128(x), F_129(x))
Eq(F_129(x), F_130(x)*F_21(x)*F_34(x)*F_94(x))
Eq(F_130(x), F_131(x) + F_4(x))
Eq(F_131(x), F_132(x) + F_39(x))
Eq(F_132(x), F_133(x) - F_140(x))
Eq(F_133(x), F_134(x) - F_136(x))
Eq(F_134(x), F_135(x)/F_21(x))
Eq(F_135(x), F_7(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), F_138(x)*F_21(x))
Eq(F_138(x), F_139(x)/F_21(x))
Eq(F_139(x), F_120(x))
Eq(F_140(x), F_2(x) + F_7(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_143(x) + F_144(x))
Eq(F_143(x), F_105(x)*F_2(x))
Eq(F_144(x), F_145(x))
Eq(F_145(x), F_146(x)*F_21(x)*F_29(x)*F_94(x))
Eq(F_146(x), F_131(x) + F_5(x))
Eq(F_147(x), F_28(x) + F_31(x))
Eq(F_148(x), F_149(x))
Eq(F_149(x), F_116(x)*F_150(x)*F_21(x))
Eq(F_150(x), F_39(x) + F_6(x))
Eq(F_151(x), F_80(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), -F_154(x) + F_70(x))
Eq(F_154(x), F_102(x) + F_155(x))
Eq(F_155(x), F_148(x) + F_156(x))
Eq(F_156(x), F_6(x)*F_67(x))
Eq(F_157(x), F_47(x)*F_94(x))
Eq(F_158(x), F_159(x) + F_34(x))
Eq(F_159(x), F_160(x))
Eq(F_160(x), F_158(x)*F_21(x)*F_34(x)**2)
Eq(F_161(x), F_162(x)*F_6(x))
Eq(F_162(x), F_163(x))
Eq(F_163(x), F_127(x)*F_21(x))
Eq(F_164(x), F_165(x)*F_6(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_130(x)*F_21(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x))
Eq(F_169(x), F_21(x)*F_4(x)*F_42(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_172(x)*F_21(x))
Eq(F_172(x), F_173(x) + F_193(x))
Eq(F_173(x), F_174(x))
Eq(F_174(x), F_0(x)*F_175(x))
Eq(F_175(x), F_176(x) - F_192(x))
Eq(F_176(x), F_177(x)/(F_21(x)*F_4(x)))
Eq(F_177(x), F_178(x))
Eq(F_178(x), F_179(x) - F_191(x))
Eq(F_179(x), -F_158(x) + F_180(x))
Eq(F_180(x), F_181(x) - F_186(x))
Eq(F_181(x), F_182(x) - F_184(x))
Eq(F_182(x), F_183(x)/F_21(x))
Eq(F_183(x), F_18(x))
Eq(F_184(x), F_185(x))
Eq(F_185(x), F_158(x)*F_21(x)*F_4(x))
Eq(F_186(x), F_187(x) + F_51(x))
Eq(F_187(x), F_188(x))
Eq(F_188(x), F_112(x)*F_189(x)*F_21(x))
Eq(F_189(x), F_190(x)/(F_21(x)*F_4(x)))
Eq(F_190(x), F_186(x))
Eq(F_191(x), F_2(x)*F_34(x))
Eq(F_192(x), F_158(x) - F_34(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_195(x)*F_198(x)*F_21(x))
Eq(F_195(x), F_168(x) + F_196(x))
Eq(F_196(x), F_197(x)*F_34(x))
Eq(F_197(x), F_15(x) - F_168(x))
Eq(F_198(x), F_158(x) + F_175(x))
Eq(F_199(x), F_200(x))
Eq(F_200(x), F_201(x)*F_21(x))
Eq(F_201(x), F_202(x) + F_204(x))
Eq(F_202(x), F_118(x) + F_203(x))
Eq(F_203(x), F_5(x)*F_67(x))
Eq(F_204(x), F_205(x))
Eq(F_205(x), F_144(x) + F_206(x))
Eq(F_206(x), F_0(x)*F_105(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 1, 4], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 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, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "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, 1, 2], "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]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 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], "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, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 3], [2, 3], [2, 3]]}, {"patt": [0, 2, 1], "pos": [[2, 3], [2, 3], [2, 3]]}, {"patt": [1, 0, 2], "pos": [[2, 3], [2, 2], [2, 3]]}, {"patt": [1, 0, 2], "pos": [[2, 3], [2, 3], [2, 3]]}, {"patt": [1, 2, 0], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [1, 2, 0], "pos": [[2, 3], [2, 3], [2, 2]]}, {"patt": [1, 2, 0], "pos": [[2, 3], [2, 3], [2, 3]]}, {"patt": [2, 0, 1], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [2, 0, 1], "pos": [[2, 3], [2, 3], [2, 3]]}, {"patt": [2, 1, 0], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [2, 1, 0], "pos": [[2, 3], [2, 3], [2, 2]]}, {"patt": [2, 1, 0], "pos": [[2, 3], [2, 3], [2, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 0], [2, 3], [2, 0], [2, 3]]}, {"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, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 0], [2, 3], [2, 3], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 2], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 0], [2, 2], [2, 0], [2, 2]]}, {"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, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 0], [2, 3], [2, 3], [2, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 3], [0, 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