01342_01432_03142_10342_10432
Counting sequence:
1, 1, 2, 6, 24, 115, 614, 3506, 20933, 129002, 814038, 5232420, 34134420, 225408726, 1503761413, 10119410014, 68608411118, 468194050290, 3213352119014, 22166203625348, 153598766241438, 1068678243569419, 7462732119309738, 52286922381111706, 367455684632568112, 2589536969980949830, 18295602546108494001, 129566416925548447198, 919565619942085444026, 6539571428382838094914, 46594111177779149630632, 332562321409498790414770, 2377528797310187476723972, 17023326199900876091896179, 122064177708832710356853704, 876435827840834592944877476, 6300952721141827112953393392, 45353989441834410504940738566, 326828147649781043283201242492, 2357718067954640084062834559990, 17025840579391031224026929331073, 123068572814837369905842020494070, 890403716462090024061644636813560, 6447758154665858324972240846263098, 46729874883267999081812777018537950, 338944003663936219338963584080955834, 2460329202744352719765227896158414150, 17872113251777771672157277323904256912, 129915938895868692982449191555068613016, 945018004267463102903467250790973794940, 6878550120659197753252539838552188634743, 50098149705704850438276371009872775608944, 365093302437685798843938865104074891519380, 2662155997388792167034291838194118386166082, 19422324750471325644777499279838137321765700, 141774506011421259430165969768762573011325354, 1035418509878250158444173122196637973559347432, 7565656808195331558521189969897121139668256583, 55307340995842166238819008843182450652974425064, 404498802722332899374714201495124270354398498788, 2959669874531662041274617189778600767822133779792, 21664789048389348239965837055183797214652424834670, 158651698373926470951806602538961595043675807662962, 1162273291536689305770970192084888406758264253740948, 8518037392844758664817997761757431977097310531218961, 62450125881771180910393960262268668124007344920419828, 458020133919956040627942620407225361401970911444157638, 3360380907502064867131864894640436126987046859656970076, 24662696763965251894771950933867137217499635124663943564, 181065773110955062465936556581139439636527837795308304928, 1329755299226402440310021029205799997596559211177780571316, 9768832491556044894947954680314558277878863021737384092226, 71786921961543460051710749577335192397216769849338969271422, 527686603165600694996524514324124246241083277667679327433226, 3879996668364271944750617824677845929511386184664027240338974, 28536966751341165524936526285165881202495563247040523271359004, 209943386371576984559935243675171740469805089480834936820280380, 1544939251710559005789065105792329394208907551651089189150568322, 11371884671692731025207656264263780637845974682190725104492722107, 83726404439532636617129515658645786651703803097337282114260443948, 616593050447171533583664797689310053672498126019217654842986563072, 4541908054429163782160481201876697557770967805956146927828496368990, 33464089767425042623012092755213088890223667766906955088116662287052, 246614263872659460701995246614747749061665757766143535681628933813974, 1817830917188405559012758006486271564782390550363591451335263419241392, 13402400848876269674747600614103245867045474334085321196706761611025841, 98833308010777292502404607126157344252670059720691062776304064196143902, 728976513528499475540110980436374710315478168213121523493821686754144978, 5377880591425429385066819491403608324337255979491587524294946095117590010, 39682058864767807344936424950919088057963972243105515634064602048928521830, 292860458673457568215381262760400059903465419783464336306894063501923498620, 2161767180293557571919644861778859437016182792962426507286970249044759533770, 15960149005440948368408864244618519779205768404124188737463232165004631584406, 117853657853050509603259500298766015792417087667781615619551349072263675714346, 870413483866665108039288131802932674974858383758494986404065990664999769372164, 6429585025698460037482746537679897408648899240857303014526159785820971735820720, 47502174380487128575492686841111306758538706992644543438333161538313890846025688, 351006952841533804706112445130930489386187148925743526292185517986510764634854298, 2594108588710921520240455698235324112614045076953315222657640953319851233434741495, 19174734149644806439738270735116082826167613278193215850164652065273716286299493448, 141754849917326180427479193843665892122272531362037171508376333501168252808824571404
Specification 1
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/24596/
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[22,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[22,x]*F[8,x]
F[8,x] = F[176,x]+F[9,x]
F[9,x] = F[10,x]*F[2,x]
F[10,x] = F[0,x]+F[11,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[22,x]
F[13,x] = F[14,x]+F[23,x]
F[14,x] = F[10,x]+F[15,x]
F[15,x] = -F[23,x]+F[16,x]
F[16,x] = 1/F[22,x]*F[17,x]
F[17,x] = F[18,x]
F[18,x] = -F[2,x]+F[19,x]
F[19,x] = -F[0,x]+F[20,x]
F[20,x] = 1/F[22,x]*F[21,x]
F[21,x] = F[2,x]
F[22,x] = x
F[23,x] = F[24,x]
F[24,x] = F[22,x]*F[25,x]
F[25,x] = -F[32,x]+F[26,x]
F[26,x] = 1/F[22,x]*F[27,x]
F[27,x] = F[28,x]
F[28,x] = -F[31,x]+F[29,x]
F[29,x] = 1/F[22,x]*F[30,x]
F[30,x] = F[18,x]
F[31,x] = F[2,x]*F[20,x]
F[32,x] = F[175,x]+F[33,x]
F[33,x] = F[2,x]*F[34,x]
F[34,x] = 1/F[22,x]*F[35,x]
F[35,x] = F[36,x]
F[36,x] = F[19,x]+F[37,x]
F[37,x] = F[38,x]
F[38,x] = F[22,x]*F[39,x]
F[39,x] = F[40,x]+F[42,x]
F[40,x] = F[41,x]
F[41,x] = F[22,x]*F[25,x]
F[42,x] = F[137,x]+F[43,x]
F[43,x] = F[44,x]+F[45,x]
F[44,x] = F[19,x]*F[20,x]
F[45,x] = F[46,x]
F[46,x] = F[13,x]*F[22,x]*F[47,x]
F[47,x] = F[48,x]+F[74,x]
F[48,x] = F[49,x]
F[49,x] = F[22,x]*F[50,x]*F[52,x]
F[50,x] = F[48,x]+F[51,x]
F[51,x] = -1+(x^2-2*x)*F[51,x]^2+(2+x)*F[51,x]
F[52,x] = 1/F[22,x]/F[73,x]*F[53,x]
F[53,x] = F[54,x]
F[54,x] = 1/F[22,x]*F[55,x]
F[55,x] = -F[71,x]+F[56,x]
F[56,x] = -F[59,x]+F[57,x]
F[57,x] = 1/F[22,x]*F[58,x]
F[58,x] = F[6,x]
F[59,x] = F[60,x]
F[60,x] = F[22,x]*F[61,x]
F[61,x] = 1/F[22,x]*F[62,x]
F[62,x] = F[63,x]
F[63,x] = -F[66,x]+F[64,x]
F[64,x] = 1/F[22,x]*F[65,x]
F[65,x] = F[6,x]
F[66,x] = F[67,x]+F[70,x]
F[67,x] = F[68,x]+F[69,x]
F[68,x] = (x*F[68,x]+x-2*F[68,x])*(x*F[68,x]+x-1)
F[69,x] = F[2,x]*F[22,x]
F[70,x] = F[22,x]*F[5,x]
F[71,x] = F[2,x]+F[72,x]
F[72,x] = F[22,x]*F[68,x]
F[73,x] = F[51,x]+F[54,x]
F[74,x] = -F[84,x]+F[75,x]
F[75,x] = 1/F[22,x]*F[76,x]
F[76,x] = F[77,x]
F[77,x] = -F[2,x]+F[78,x]
F[78,x] = -F[51,x]+F[79,x]
F[79,x] = F[0,x]+F[80,x]
F[80,x] = F[81,x]
F[81,x] = F[22,x]*F[82,x]
F[82,x] = 1/F[22,x]*F[83,x]
F[83,x] = F[5,x]
F[84,x] = -F[87,x]+F[85,x]
F[85,x] = 1/F[22,x]*F[86,x]
F[86,x] = F[80,x]
F[87,x] = F[79,x]+F[88,x]
F[88,x] = F[89,x]
F[89,x] = F[22,x]*F[90,x]
F[90,x] = F[108,x]+F[91,x]
F[91,x] = F[107,x]+F[92,x]
F[92,x] = F[93,x]+F[94,x]
F[93,x] = F[51,x]*F[79,x]
F[94,x] = F[88,x]+F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[22,x]*F[97,x]
F[97,x] = F[98,x]+F[99,x]
F[98,x] = F[73,x]*F[88,x]
F[99,x] = F[100,x]
F[100,x] = F[101,x]*F[22,x]*F[52,x]*F[73,x]
F[101,x] = F[102,x]+F[87,x]
F[102,x] = F[103,x]+F[2,x]
F[103,x] = F[104,x]
F[104,x] = F[105,x]*F[22,x]
F[105,x] = F[106,x]+F[31,x]
F[106,x] = F[0,x]*F[80,x]
F[107,x] = F[0,x]*F[48,x]
F[108,x] = F[109,x]+F[74,x]
F[109,x] = F[110,x]
F[110,x] = F[111,x]*F[22,x]
F[111,x] = F[112,x]+F[113,x]
F[112,x] = F[4,x]*F[74,x]
F[113,x] = F[114,x]
F[114,x] = F[115,x]*F[22,x]*F[82,x]
F[115,x] = -F[135,x]+F[116,x]
F[116,x] = 1/F[22,x]*F[117,x]
F[117,x] = F[118,x]
F[118,x] = F[119,x]+F[121,x]
F[119,x] = F[120,x]
F[120,x] = F[22,x]*F[87,x]
F[121,x] = F[122,x]
F[122,x] = F[123,x]*F[22,x]
F[123,x] = F[124,x]+F[126,x]
F[124,x] = F[125,x]
F[125,x] = F[116,x]*F[22,x]*F[51,x]
F[126,x] = F[118,x]+F[127,x]
F[127,x] = F[128,x]
F[128,x] = F[129,x]*F[22,x]
F[129,x] = F[130,x]+F[131,x]
F[130,x] = F[118,x]*F[50,x]
F[131,x] = F[0,x]*F[132,x]*F[22,x]
F[132,x] = F[133,x]+F[48,x]
F[133,x] = F[134,x]
F[134,x] = F[22,x]*F[48,x]*F[50,x]
F[135,x] = F[136,x]
F[136,x] = F[116,x]*F[22,x]*F[52,x]
F[137,x] = F[138,x]
F[138,x] = F[139,x]*F[22,x]
F[139,x] = F[140,x]+F[171,x]
F[140,x] = 1/F[22,x]*F[141,x]
F[141,x] = F[142,x]
F[142,x] = -F[43,x]+F[143,x]
F[143,x] = F[144,x]
F[144,x] = F[145,x]*F[22,x]
F[145,x] = F[146,x]+F[152,x]
F[146,x] = 1/F[22,x]*F[147,x]
F[147,x] = F[148,x]
F[148,x] = 1/F[22,x]*F[149,x]
F[149,x] = F[150,x]
F[150,x] = -F[151,x]+F[15,x]
F[151,x] = F[18,x]+F[2,x]
F[152,x] = F[153,x]
F[153,x] = F[154,x]*F[73,x]
F[154,x] = F[155,x]
F[155,x] = F[156,x]*F[22,x]*F[52,x]
F[156,x] = 1/F[22,x]*F[157,x]
F[157,x] = F[158,x]
F[158,x] = 1/F[50,x]*F[159,x]
F[159,x] = F[160,x]
F[160,x] = -F[148,x]+F[161,x]
F[161,x] = 1/F[22,x]*F[162,x]
F[162,x] = F[163,x]
F[163,x] = -F[151,x]+F[164,x]
F[164,x] = -F[167,x]+F[165,x]
F[165,x] = 1/F[22,x]*F[166,x]
F[166,x] = F[18,x]
F[167,x] = F[168,x]
F[168,x] = F[169,x]*F[22,x]
F[169,x] = 1/F[22,x]*F[170,x]
F[170,x] = F[36,x]
F[171,x] = F[172,x]*F[2,x]
F[172,x] = 1/F[22,x]*F[173,x]
F[173,x] = F[174,x]
F[174,x] = -F[158,x]+F[167,x]
F[175,x] = F[156,x]*F[77,x]
F[176,x] = F[177,x]
F[177,x] = F[178,x]*F[22,x]
F[178,x] = F[179,x]+F[193,x]
F[179,x] = F[13,x]*F[180,x]
F[180,x] = F[181,x]+F[79,x]
F[181,x] = F[182,x]+F[5,x]
F[182,x] = F[183,x]
F[183,x] = F[184,x]*F[22,x]
F[184,x] = F[185,x]+F[187,x]
F[185,x] = F[186,x]
F[186,x] = F[10,x]*F[22,x]*F[79,x]
F[187,x] = F[188,x]
F[188,x] = F[189,x]*F[22,x]
F[189,x] = F[190,x]+F[191,x]
F[190,x] = F[10,x]*F[181,x]
F[191,x] = F[0,x]*F[192,x]
F[192,x] = -F[180,x]+F[82,x]
F[193,x] = F[192,x]*F[194,x]
F[194,x] = F[158,x]+F[20,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_{22}\! \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_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{22}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{176}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{2}\! \left(x \right)
F_{10}\! \left(x \right) = F_{0}\! \left(x \right)+F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{22}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{23}\! \left(x \right)
F_{14}\! \left(x \right) = F_{10}\! \left(x \right)+F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = -F_{23}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = \frac{F_{17}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = \frac{F_{21}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{21}\! \left(x \right) = F_{2}\! \left(x \right)
F_{22}\! \left(x \right) = x
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{22}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = -F_{32}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = \frac{F_{27}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = -F_{31}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{18}\! \left(x \right)
F_{31}\! \left(x \right) = F_{2}\! \left(x \right) F_{20}\! \left(x \right)
F_{32}\! \left(x \right) = F_{175}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{2}\! \left(x \right) F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = \frac{F_{35}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{19}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{22}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{42}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{22}\! \left(x \right) F_{25}\! \left(x \right)
F_{42}\! \left(x \right) = F_{137}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{45}\! \left(x \right)
F_{44}\! \left(x \right) = F_{19}\! \left(x \right) F_{20}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{13}\! \left(x \right) F_{22}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{74}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{22}\! \left(x \right) F_{50}\! \left(x \right) F_{52}\! \left(x \right)
F_{50}\! \left(x \right) = F_{48}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = x^{2} F_{51} \left(x \right)^{2}-2 x F_{51} \left(x \right)^{2}+F_{51}\! \left(x \right) x +2 F_{51}\! \left(x \right)-1
F_{52}\! \left(x \right) = \frac{F_{53}\! \left(x \right)}{F_{22}\! \left(x \right) F_{73}\! \left(x \right)}
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = \frac{F_{55}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{55}\! \left(x \right) = -F_{71}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = -F_{59}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = \frac{F_{58}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{58}\! \left(x \right) = F_{6}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{22}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = \frac{F_{62}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = -F_{66}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{65}\! \left(x \right) = F_{6}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{70}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{69}\! \left(x \right)
F_{68}\! \left(x \right) = x^{2} F_{68} \left(x \right)^{2}+2 x^{2} F_{68}\! \left(x \right)-2 x F_{68} \left(x \right)^{2}+x^{2}-3 x F_{68}\! \left(x \right)-x +2 F_{68}\! \left(x \right)
F_{69}\! \left(x \right) = F_{2}\! \left(x \right) F_{22}\! \left(x \right)
F_{70}\! \left(x \right) = F_{22}\! \left(x \right) F_{5}\! \left(x \right)
F_{71}\! \left(x \right) = F_{2}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{22}\! \left(x \right) F_{68}\! \left(x \right)
F_{73}\! \left(x \right) = F_{51}\! \left(x \right)+F_{54}\! \left(x \right)
F_{74}\! \left(x \right) = -F_{84}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = \frac{F_{76}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = -F_{51}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{0}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{22}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = \frac{F_{83}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{83}\! \left(x \right) = F_{5}\! \left(x \right)
F_{84}\! \left(x \right) = -F_{87}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = \frac{F_{86}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{86}\! \left(x \right) = F_{80}\! \left(x \right)
F_{87}\! \left(x \right) = F_{79}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{22}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{108}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{107}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)+F_{94}\! \left(x \right)
F_{93}\! \left(x \right) = F_{51}\! \left(x \right) F_{79}\! \left(x \right)
F_{94}\! \left(x \right) = F_{88}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{22}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)+F_{99}\! \left(x \right)
F_{98}\! \left(x \right) = F_{73}\! \left(x \right) F_{88}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{22}\! \left(x \right) F_{52}\! \left(x \right) F_{73}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{87}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{2}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right) F_{22}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{31}\! \left(x \right)
F_{106}\! \left(x \right) = F_{0}\! \left(x \right) F_{80}\! \left(x \right)
F_{107}\! \left(x \right) = F_{0}\! \left(x \right) F_{48}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{74}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{22}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{113}\! \left(x \right)
F_{112}\! \left(x \right) = F_{4}\! \left(x \right) F_{74}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right) F_{22}\! \left(x \right) F_{82}\! \left(x \right)
F_{115}\! \left(x \right) = -F_{135}\! \left(x \right)+F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = \frac{F_{117}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{121}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{22}\! \left(x \right) F_{87}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right) F_{22}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{126}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{116}\! \left(x \right) F_{22}\! \left(x \right) F_{51}\! \left(x \right)
F_{126}\! \left(x \right) = F_{118}\! \left(x \right)+F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right) F_{22}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{131}\! \left(x \right)
F_{130}\! \left(x \right) = F_{118}\! \left(x \right) F_{50}\! \left(x \right)
F_{131}\! \left(x \right) = F_{0}\! \left(x \right) F_{132}\! \left(x \right) F_{22}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{48}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = F_{22}\! \left(x \right) F_{48}\! \left(x \right) F_{50}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{116}\! \left(x \right) F_{22}\! \left(x \right) F_{52}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right) F_{22}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{171}\! \left(x \right)
F_{140}\! \left(x \right) = \frac{F_{141}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = -F_{43}\! \left(x \right)+F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{22}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{152}\! \left(x \right)
F_{146}\! \left(x \right) = \frac{F_{147}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = \frac{F_{149}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = -F_{151}\! \left(x \right)+F_{15}\! \left(x \right)
F_{151}\! \left(x \right) = F_{18}\! \left(x \right)+F_{2}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right) F_{73}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right) F_{22}\! \left(x \right) F_{52}\! \left(x \right)
F_{156}\! \left(x \right) = \frac{F_{157}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = \frac{F_{159}\! \left(x \right)}{F_{50}\! \left(x \right)}
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = -F_{148}\! \left(x \right)+F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = \frac{F_{162}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = -F_{151}\! \left(x \right)+F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = -F_{167}\! \left(x \right)+F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = \frac{F_{166}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{166}\! \left(x \right) = F_{18}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{22}\! \left(x \right)
F_{169}\! \left(x \right) = \frac{F_{170}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{170}\! \left(x \right) = F_{36}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right) F_{2}\! \left(x \right)
F_{172}\! \left(x \right) = \frac{F_{173}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = -F_{158}\! \left(x \right)+F_{167}\! \left(x \right)
F_{175}\! \left(x \right) = F_{156}\! \left(x \right) F_{77}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right) F_{22}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)+F_{193}\! \left(x \right)
F_{179}\! \left(x \right) = F_{13}\! \left(x \right) F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)+F_{79}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{5}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right) F_{22}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)+F_{187}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = F_{10}\! \left(x \right) F_{22}\! \left(x \right) F_{79}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right) F_{22}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)+F_{191}\! \left(x \right)
F_{190}\! \left(x \right) = F_{10}\! \left(x \right) F_{181}\! \left(x \right)
F_{191}\! \left(x \right) = F_{0}\! \left(x \right) F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = -F_{180}\! \left(x \right)+F_{82}\! \left(x \right)
F_{193}\! \left(x \right) = F_{192}\! \left(x \right) F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{158}\! \left(x \right)+F_{20}\! \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_22(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_22(x)*F_8(x))
Eq(F_8(x), F_176(x) + F_9(x))
Eq(F_9(x), F_10(x)*F_2(x))
Eq(F_10(x), F_0(x) + F_11(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_22(x))
Eq(F_13(x), F_14(x) + F_23(x))
Eq(F_14(x), F_10(x) + F_15(x))
Eq(F_15(x), F_16(x) - F_23(x))
Eq(F_16(x), F_17(x)/F_22(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_19(x) - F_2(x))
Eq(F_19(x), -F_0(x) + F_20(x))
Eq(F_20(x), F_21(x)/F_22(x))
Eq(F_21(x), F_2(x))
Eq(F_22(x), x)
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_22(x)*F_25(x))
Eq(F_25(x), F_26(x) - F_32(x))
Eq(F_26(x), F_27(x)/F_22(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_29(x) - F_31(x))
Eq(F_29(x), F_30(x)/F_22(x))
Eq(F_30(x), F_18(x))
Eq(F_31(x), F_2(x)*F_20(x))
Eq(F_32(x), F_175(x) + F_33(x))
Eq(F_33(x), F_2(x)*F_34(x))
Eq(F_34(x), F_35(x)/F_22(x))
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_19(x) + F_37(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_22(x)*F_39(x))
Eq(F_39(x), F_40(x) + F_42(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_22(x)*F_25(x))
Eq(F_42(x), F_137(x) + F_43(x))
Eq(F_43(x), F_44(x) + F_45(x))
Eq(F_44(x), F_19(x)*F_20(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_13(x)*F_22(x)*F_47(x))
Eq(F_47(x), F_48(x) + F_74(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_22(x)*F_50(x)*F_52(x))
Eq(F_50(x), F_48(x) + F_51(x))
Eq(F_51(x), x*(x - 2)*F_51(x)**2 + (x + 2)*F_51(x) - 1)
Eq(F_52(x), F_53(x)/(F_22(x)*F_73(x)))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_55(x)/F_22(x))
Eq(F_55(x), F_56(x) - F_71(x))
Eq(F_56(x), F_57(x) - F_59(x))
Eq(F_57(x), F_58(x)/F_22(x))
Eq(F_58(x), F_6(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_22(x)*F_61(x))
Eq(F_61(x), F_62(x)/F_22(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_64(x) - F_66(x))
Eq(F_64(x), F_65(x)/F_22(x))
Eq(F_65(x), F_6(x))
Eq(F_66(x), F_67(x) + F_70(x))
Eq(F_67(x), F_68(x) + F_69(x))
Eq(F_68(x), x*(x - 2)*(F_68(x) + 1)**2 + (x + 1)*(F_68(x) + 1) + F_68(x) - 1)
Eq(F_69(x), F_2(x)*F_22(x))
Eq(F_70(x), F_22(x)*F_5(x))
Eq(F_71(x), F_2(x) + F_72(x))
Eq(F_72(x), F_22(x)*F_68(x))
Eq(F_73(x), F_51(x) + F_54(x))
Eq(F_74(x), F_75(x) - F_84(x))
Eq(F_75(x), F_76(x)/F_22(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), -F_2(x) + F_78(x))
Eq(F_78(x), -F_51(x) + F_79(x))
Eq(F_79(x), F_0(x) + F_80(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_22(x)*F_82(x))
Eq(F_82(x), F_83(x)/F_22(x))
Eq(F_83(x), F_5(x))
Eq(F_84(x), F_85(x) - F_87(x))
Eq(F_85(x), F_86(x)/F_22(x))
Eq(F_86(x), F_80(x))
Eq(F_87(x), F_79(x) + F_88(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_22(x)*F_90(x))
Eq(F_90(x), F_108(x) + F_91(x))
Eq(F_91(x), F_107(x) + F_92(x))
Eq(F_92(x), F_93(x) + F_94(x))
Eq(F_93(x), F_51(x)*F_79(x))
Eq(F_94(x), F_88(x) + F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_22(x)*F_97(x))
Eq(F_97(x), F_98(x) + F_99(x))
Eq(F_98(x), F_73(x)*F_88(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_101(x)*F_22(x)*F_52(x)*F_73(x))
Eq(F_101(x), F_102(x) + F_87(x))
Eq(F_102(x), F_103(x) + F_2(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_105(x)*F_22(x))
Eq(F_105(x), F_106(x) + F_31(x))
Eq(F_106(x), F_0(x)*F_80(x))
Eq(F_107(x), F_0(x)*F_48(x))
Eq(F_108(x), F_109(x) + F_74(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x)*F_22(x))
Eq(F_111(x), F_112(x) + F_113(x))
Eq(F_112(x), F_4(x)*F_74(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_115(x)*F_22(x)*F_82(x))
Eq(F_115(x), F_116(x) - F_135(x))
Eq(F_116(x), F_117(x)/F_22(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x) + F_121(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_22(x)*F_87(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_123(x)*F_22(x))
Eq(F_123(x), F_124(x) + F_126(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_116(x)*F_22(x)*F_51(x))
Eq(F_126(x), F_118(x) + F_127(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_129(x)*F_22(x))
Eq(F_129(x), F_130(x) + F_131(x))
Eq(F_130(x), F_118(x)*F_50(x))
Eq(F_131(x), F_0(x)*F_132(x)*F_22(x))
Eq(F_132(x), F_133(x) + F_48(x))
Eq(F_133(x), F_134(x))
Eq(F_134(x), F_22(x)*F_48(x)*F_50(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_116(x)*F_22(x)*F_52(x))
Eq(F_137(x), F_138(x))
Eq(F_138(x), F_139(x)*F_22(x))
Eq(F_139(x), F_140(x) + F_171(x))
Eq(F_140(x), F_141(x)/F_22(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_143(x) - F_43(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_145(x)*F_22(x))
Eq(F_145(x), F_146(x) + F_152(x))
Eq(F_146(x), F_147(x)/F_22(x))
Eq(F_147(x), F_148(x))
Eq(F_148(x), F_149(x)/F_22(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_15(x) - F_151(x))
Eq(F_151(x), F_18(x) + F_2(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_154(x)*F_73(x))
Eq(F_154(x), F_155(x))
Eq(F_155(x), F_156(x)*F_22(x)*F_52(x))
Eq(F_156(x), F_157(x)/F_22(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_159(x)/F_50(x))
Eq(F_159(x), F_160(x))
Eq(F_160(x), -F_148(x) + F_161(x))
Eq(F_161(x), F_162(x)/F_22(x))
Eq(F_162(x), F_163(x))
Eq(F_163(x), -F_151(x) + F_164(x))
Eq(F_164(x), F_165(x) - F_167(x))
Eq(F_165(x), F_166(x)/F_22(x))
Eq(F_166(x), F_18(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x)*F_22(x))
Eq(F_169(x), F_170(x)/F_22(x))
Eq(F_170(x), F_36(x))
Eq(F_171(x), F_172(x)*F_2(x))
Eq(F_172(x), F_173(x)/F_22(x))
Eq(F_173(x), F_174(x))
Eq(F_174(x), -F_158(x) + F_167(x))
Eq(F_175(x), F_156(x)*F_77(x))
Eq(F_176(x), F_177(x))
Eq(F_177(x), F_178(x)*F_22(x))
Eq(F_178(x), F_179(x) + F_193(x))
Eq(F_179(x), F_13(x)*F_180(x))
Eq(F_180(x), F_181(x) + F_79(x))
Eq(F_181(x), F_182(x) + F_5(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_184(x)*F_22(x))
Eq(F_184(x), F_185(x) + F_187(x))
Eq(F_185(x), F_186(x))
Eq(F_186(x), F_10(x)*F_22(x)*F_79(x))
Eq(F_187(x), F_188(x))
Eq(F_188(x), F_189(x)*F_22(x))
Eq(F_189(x), F_190(x) + F_191(x))
Eq(F_190(x), F_10(x)*F_181(x))
Eq(F_191(x), F_0(x)*F_192(x))
Eq(F_192(x), -F_180(x) + F_82(x))
Eq(F_193(x), F_192(x)*F_194(x))
Eq(F_194(x), F_158(x) + F_20(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, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 4, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 4, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "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, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "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": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, 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0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [2, 0]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[1, 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0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}]}}, "idx": 1}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 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, 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": [2, 0, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "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], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 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0, 3, 4, 2], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [6, 0], [6, 0], [6, 0], [6, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [7, 0], [7, 0], [7, 2], [7, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [7, 0], [7, 2], [7, 2], [7, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [8, 0], [8, 0], [8, 0], [8, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[2, 3], [2, 3], [2, 3], [2, 3], [5, 3]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[2, 3], [2, 3], [2, 3], [5, 3], [5, 3]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[3, 0], [6, 0], [6, 0], [6, 0], [6, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[3, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[3, 0], [7, 0], [7, 0], [7, 2], [7, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[3, 0], [7, 0], [7, 2], [7, 2], [7, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[3, 0], [8, 0], [8, 0], [8, 0], [8, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[6, 0], [6, 0], [6, 0], [6, 0], [6, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[6, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[6, 0], [7, 0], [7, 0], [7, 2], [7, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[6, 0], [7, 0], [7, 2], [7, 2], [7, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[6, 0], [8, 0], [8, 0], [8, 0], [8, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[7, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[7, 0], [7, 0], [7, 0], [7, 2], [7, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[7, 0], [7, 0], [7, 2], [7, 2], [7, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[7, 0], [8, 0], [8, 0], [8, 0], [8, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[7, 0], [8, 0], [8, 0], [8, 2], [8, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[7, 0], [8, 0], [8, 2], [8, 2], [8, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[8, 0], [8, 0], [8, 0], [8, 0], [8, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[8, 0], [8, 0], [8, 0], [8, 2], [8, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[8, 0], [8, 0], [8, 2], [8, 2], [8, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 3], [0, 2], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 3], [2, 3], [2, 3], [2, 3], [5, 3]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 3], [2, 3], [2, 3], [5, 3], [5, 3]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [6, 0], [6, 0], [6, 0], [6, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [7, 0], [7, 2], [7, 0], [7, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [8, 0], [8, 0], [8, 0], [8, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[2, 3], [2, 3], [2, 3], [2, 3], [5, 3]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[2, 3], [2, 3], [2, 3], [5, 3], [5, 3]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[3, 0], [6, 0], [6, 0], [6, 0], [6, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[3, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[3, 0], [7, 0], [7, 2], [7, 0], [7, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[3, 0], [8, 0], [8, 0], [8, 0], [8, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[6, 0], [6, 0], [6, 0], [6, 0], [6, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[6, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[6, 0], [7, 0], [7, 2], [7, 0], [7, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[6, 0], [8, 0], [8, 0], [8, 0], [8, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[7, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[7, 0], [7, 0], [7, 2], [7, 0], [7, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[7, 0], [7, 0], [7, 2], [7, 2], [7, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[7, 0], [8, 0], [8, 0], [8, 0], [8, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[7, 0], [8, 0], [8, 2], [8, 0], [8, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[8, 0], [8, 0], [8, 0], [8, 0], [8, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[8, 0], [8, 0], [8, 2], [8, 0], [8, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[8, 0], [8, 0], [8, 2], [8, 2], [8, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 3]]}], [{"patt": [0], "pos": [[4, 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, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 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, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 4, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "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, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 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, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 4, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": false}}]}
Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25303/
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[22,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[22,x]*F[8,x]
F[8,x] = F[176,x]+F[9,x]
F[9,x] = F[10,x]*F[2,x]
F[10,x] = F[0,x]+F[11,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[22,x]
F[13,x] = F[14,x]+F[23,x]
F[14,x] = F[10,x]+F[15,x]
F[15,x] = -F[23,x]+F[16,x]
F[16,x] = 1/F[22,x]*F[17,x]
F[17,x] = F[18,x]
F[18,x] = -F[2,x]+F[19,x]
F[19,x] = -F[0,x]+F[20,x]
F[20,x] = 1/F[22,x]*F[21,x]
F[21,x] = F[2,x]
F[22,x] = x
F[23,x] = F[24,x]
F[24,x] = F[22,x]*F[25,x]
F[25,x] = -F[32,x]+F[26,x]
F[26,x] = 1/F[22,x]*F[27,x]
F[27,x] = F[28,x]
F[28,x] = -F[31,x]+F[29,x]
F[29,x] = 1/F[22,x]*F[30,x]
F[30,x] = F[18,x]
F[31,x] = F[2,x]*F[20,x]
F[32,x] = F[175,x]+F[33,x]
F[33,x] = F[2,x]*F[34,x]
F[34,x] = 1/F[22,x]*F[35,x]
F[35,x] = F[36,x]
F[36,x] = F[19,x]+F[37,x]
F[37,x] = F[38,x]
F[38,x] = F[22,x]*F[39,x]
F[39,x] = F[40,x]+F[42,x]
F[40,x] = F[41,x]
F[41,x] = F[22,x]*F[25,x]
F[42,x] = F[137,x]+F[43,x]
F[43,x] = F[44,x]+F[45,x]
F[44,x] = F[19,x]*F[20,x]
F[45,x] = F[46,x]
F[46,x] = F[13,x]*F[22,x]*F[47,x]
F[47,x] = F[48,x]+F[74,x]
F[48,x] = F[49,x]
F[49,x] = F[22,x]*F[50,x]*F[52,x]
F[50,x] = F[48,x]+F[51,x]
F[51,x] = -1+(x^2-2*x)*F[51,x]^2+(2+x)*F[51,x]
F[52,x] = 1/F[22,x]/F[73,x]*F[53,x]
F[53,x] = F[54,x]
F[54,x] = 1/F[22,x]*F[55,x]
F[55,x] = -F[71,x]+F[56,x]
F[56,x] = -F[59,x]+F[57,x]
F[57,x] = 1/F[22,x]*F[58,x]
F[58,x] = F[6,x]
F[59,x] = F[60,x]
F[60,x] = F[22,x]*F[61,x]
F[61,x] = 1/F[22,x]*F[62,x]
F[62,x] = F[63,x]
F[63,x] = -F[66,x]+F[64,x]
F[64,x] = 1/F[22,x]*F[65,x]
F[65,x] = F[6,x]
F[66,x] = F[67,x]+F[70,x]
F[67,x] = F[68,x]+F[69,x]
F[68,x] = (x*F[68,x]+x-1)*(x*F[68,x]+x-2*F[68,x])
F[69,x] = F[2,x]*F[22,x]
F[70,x] = F[22,x]*F[5,x]
F[71,x] = F[2,x]+F[72,x]
F[72,x] = F[22,x]*F[68,x]
F[73,x] = F[51,x]+F[54,x]
F[74,x] = -F[84,x]+F[75,x]
F[75,x] = 1/F[22,x]*F[76,x]
F[76,x] = F[77,x]
F[77,x] = -F[2,x]+F[78,x]
F[78,x] = -F[51,x]+F[79,x]
F[79,x] = F[0,x]+F[80,x]
F[80,x] = F[81,x]
F[81,x] = F[22,x]*F[82,x]
F[82,x] = 1/F[22,x]*F[83,x]
F[83,x] = F[5,x]
F[84,x] = -F[87,x]+F[85,x]
F[85,x] = 1/F[22,x]*F[86,x]
F[86,x] = F[80,x]
F[87,x] = F[79,x]+F[88,x]
F[88,x] = F[89,x]
F[89,x] = F[22,x]*F[90,x]
F[90,x] = F[108,x]+F[91,x]
F[91,x] = F[107,x]+F[92,x]
F[92,x] = F[93,x]+F[94,x]
F[93,x] = F[51,x]*F[79,x]
F[94,x] = F[88,x]+F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[22,x]*F[97,x]
F[97,x] = F[98,x]+F[99,x]
F[98,x] = F[73,x]*F[88,x]
F[99,x] = F[100,x]
F[100,x] = F[101,x]*F[22,x]*F[52,x]*F[73,x]
F[101,x] = F[102,x]+F[87,x]
F[102,x] = F[103,x]+F[2,x]
F[103,x] = F[104,x]
F[104,x] = F[105,x]*F[22,x]
F[105,x] = F[106,x]+F[31,x]
F[106,x] = F[0,x]*F[80,x]
F[107,x] = F[0,x]*F[48,x]
F[108,x] = F[109,x]+F[74,x]
F[109,x] = F[110,x]
F[110,x] = F[111,x]*F[22,x]
F[111,x] = F[112,x]+F[113,x]
F[112,x] = F[4,x]*F[74,x]
F[113,x] = F[114,x]
F[114,x] = F[115,x]*F[22,x]*F[82,x]
F[115,x] = -F[135,x]+F[116,x]
F[116,x] = 1/F[22,x]*F[117,x]
F[117,x] = F[118,x]
F[118,x] = F[119,x]+F[121,x]
F[119,x] = F[120,x]
F[120,x] = F[22,x]*F[87,x]
F[121,x] = F[122,x]
F[122,x] = F[123,x]*F[22,x]
F[123,x] = F[124,x]+F[126,x]
F[124,x] = F[125,x]
F[125,x] = F[116,x]*F[22,x]*F[51,x]
F[126,x] = F[118,x]+F[127,x]
F[127,x] = F[128,x]
F[128,x] = F[129,x]*F[22,x]
F[129,x] = F[130,x]+F[131,x]
F[130,x] = F[118,x]*F[50,x]
F[131,x] = F[0,x]*F[132,x]*F[22,x]
F[132,x] = F[133,x]+F[48,x]
F[133,x] = F[134,x]
F[134,x] = F[22,x]*F[48,x]*F[50,x]
F[135,x] = F[136,x]
F[136,x] = F[116,x]*F[22,x]*F[52,x]
F[137,x] = F[138,x]
F[138,x] = F[139,x]*F[22,x]
F[139,x] = F[140,x]+F[171,x]
F[140,x] = 1/F[22,x]*F[141,x]
F[141,x] = F[142,x]
F[142,x] = -F[43,x]+F[143,x]
F[143,x] = F[144,x]
F[144,x] = F[145,x]*F[22,x]
F[145,x] = F[146,x]+F[152,x]
F[146,x] = 1/F[22,x]*F[147,x]
F[147,x] = F[148,x]
F[148,x] = 1/F[22,x]*F[149,x]
F[149,x] = F[150,x]
F[150,x] = -F[151,x]+F[15,x]
F[151,x] = F[18,x]+F[2,x]
F[152,x] = F[153,x]
F[153,x] = F[154,x]*F[73,x]
F[154,x] = F[155,x]
F[155,x] = F[156,x]*F[22,x]*F[52,x]
F[156,x] = 1/F[22,x]*F[157,x]
F[157,x] = F[158,x]
F[158,x] = 1/F[50,x]*F[159,x]
F[159,x] = F[160,x]
F[160,x] = -F[148,x]+F[161,x]
F[161,x] = 1/F[22,x]*F[162,x]
F[162,x] = F[163,x]
F[163,x] = -F[151,x]+F[164,x]
F[164,x] = -F[167,x]+F[165,x]
F[165,x] = 1/F[22,x]*F[166,x]
F[166,x] = F[18,x]
F[167,x] = F[168,x]
F[168,x] = F[169,x]*F[22,x]
F[169,x] = 1/F[22,x]*F[170,x]
F[170,x] = F[36,x]
F[171,x] = F[172,x]*F[2,x]
F[172,x] = 1/F[22,x]*F[173,x]
F[173,x] = F[174,x]
F[174,x] = -F[158,x]+F[167,x]
F[175,x] = F[156,x]*F[77,x]
F[176,x] = F[177,x]
F[177,x] = F[178,x]*F[22,x]
F[178,x] = F[179,x]+F[193,x]
F[179,x] = F[13,x]*F[180,x]
F[180,x] = F[181,x]+F[79,x]
F[181,x] = F[182,x]+F[5,x]
F[182,x] = F[183,x]
F[183,x] = F[184,x]*F[22,x]
F[184,x] = F[185,x]+F[187,x]
F[185,x] = F[186,x]
F[186,x] = F[10,x]*F[22,x]*F[79,x]
F[187,x] = F[188,x]
F[188,x] = F[189,x]*F[22,x]
F[189,x] = F[190,x]+F[191,x]
F[190,x] = F[10,x]*F[181,x]
F[191,x] = F[0,x]*F[192,x]
F[192,x] = -F[180,x]+F[82,x]
F[193,x] = F[192,x]*F[194,x]
F[194,x] = F[158,x]+F[20,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_{22}\! \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_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{22}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{176}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{2}\! \left(x \right)
F_{10}\! \left(x \right) = F_{0}\! \left(x \right)+F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{22}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{23}\! \left(x \right)
F_{14}\! \left(x \right) = F_{10}\! \left(x \right)+F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = -F_{23}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = \frac{F_{17}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = \frac{F_{21}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{21}\! \left(x \right) = F_{2}\! \left(x \right)
F_{22}\! \left(x \right) = x
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{22}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = -F_{32}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = \frac{F_{27}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = -F_{31}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{18}\! \left(x \right)
F_{31}\! \left(x \right) = F_{2}\! \left(x \right) F_{20}\! \left(x \right)
F_{32}\! \left(x \right) = F_{175}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{2}\! \left(x \right) F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = \frac{F_{35}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{19}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{22}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{42}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{22}\! \left(x \right) F_{25}\! \left(x \right)
F_{42}\! \left(x \right) = F_{137}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{45}\! \left(x \right)
F_{44}\! \left(x \right) = F_{19}\! \left(x \right) F_{20}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{13}\! \left(x \right) F_{22}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{74}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{22}\! \left(x \right) F_{50}\! \left(x \right) F_{52}\! \left(x \right)
F_{50}\! \left(x \right) = F_{48}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = x^{2} F_{51} \left(x \right)^{2}-2 x F_{51} \left(x \right)^{2}+F_{51}\! \left(x \right) x +2 F_{51}\! \left(x \right)-1
F_{52}\! \left(x \right) = \frac{F_{53}\! \left(x \right)}{F_{22}\! \left(x \right) F_{73}\! \left(x \right)}
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = \frac{F_{55}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{55}\! \left(x \right) = -F_{71}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = -F_{59}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = \frac{F_{58}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{58}\! \left(x \right) = F_{6}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{22}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = \frac{F_{62}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = -F_{66}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{65}\! \left(x \right) = F_{6}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{70}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{69}\! \left(x \right)
F_{68}\! \left(x \right) = x^{2} F_{68} \left(x \right)^{2}+2 x^{2} F_{68}\! \left(x \right)-2 x F_{68} \left(x \right)^{2}+x^{2}-3 x F_{68}\! \left(x \right)-x +2 F_{68}\! \left(x \right)
F_{69}\! \left(x \right) = F_{2}\! \left(x \right) F_{22}\! \left(x \right)
F_{70}\! \left(x \right) = F_{22}\! \left(x \right) F_{5}\! \left(x \right)
F_{71}\! \left(x \right) = F_{2}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{22}\! \left(x \right) F_{68}\! \left(x \right)
F_{73}\! \left(x \right) = F_{51}\! \left(x \right)+F_{54}\! \left(x \right)
F_{74}\! \left(x \right) = -F_{84}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = \frac{F_{76}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = -F_{51}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{0}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{22}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = \frac{F_{83}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{83}\! \left(x \right) = F_{5}\! \left(x \right)
F_{84}\! \left(x \right) = -F_{87}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = \frac{F_{86}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{86}\! \left(x \right) = F_{80}\! \left(x \right)
F_{87}\! \left(x \right) = F_{79}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{22}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{108}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{107}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)+F_{94}\! \left(x \right)
F_{93}\! \left(x \right) = F_{51}\! \left(x \right) F_{79}\! \left(x \right)
F_{94}\! \left(x \right) = F_{88}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{22}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)+F_{99}\! \left(x \right)
F_{98}\! \left(x \right) = F_{73}\! \left(x \right) F_{88}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{22}\! \left(x \right) F_{52}\! \left(x \right) F_{73}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{87}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{2}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right) F_{22}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{31}\! \left(x \right)
F_{106}\! \left(x \right) = F_{0}\! \left(x \right) F_{80}\! \left(x \right)
F_{107}\! \left(x \right) = F_{0}\! \left(x \right) F_{48}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{74}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{22}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{113}\! \left(x \right)
F_{112}\! \left(x \right) = F_{4}\! \left(x \right) F_{74}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right) F_{22}\! \left(x \right) F_{82}\! \left(x \right)
F_{115}\! \left(x \right) = -F_{135}\! \left(x \right)+F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = \frac{F_{117}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{121}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{22}\! \left(x \right) F_{87}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right) F_{22}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{126}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{116}\! \left(x \right) F_{22}\! \left(x \right) F_{51}\! \left(x \right)
F_{126}\! \left(x \right) = F_{118}\! \left(x \right)+F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right) F_{22}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{131}\! \left(x \right)
F_{130}\! \left(x \right) = F_{118}\! \left(x \right) F_{50}\! \left(x \right)
F_{131}\! \left(x \right) = F_{0}\! \left(x \right) F_{132}\! \left(x \right) F_{22}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{48}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = F_{22}\! \left(x \right) F_{48}\! \left(x \right) F_{50}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{116}\! \left(x \right) F_{22}\! \left(x \right) F_{52}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right) F_{22}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{171}\! \left(x \right)
F_{140}\! \left(x \right) = \frac{F_{141}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = -F_{43}\! \left(x \right)+F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{22}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{152}\! \left(x \right)
F_{146}\! \left(x \right) = \frac{F_{147}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = \frac{F_{149}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = -F_{151}\! \left(x \right)+F_{15}\! \left(x \right)
F_{151}\! \left(x \right) = F_{18}\! \left(x \right)+F_{2}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right) F_{73}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right) F_{22}\! \left(x \right) F_{52}\! \left(x \right)
F_{156}\! \left(x \right) = \frac{F_{157}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = \frac{F_{159}\! \left(x \right)}{F_{50}\! \left(x \right)}
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = -F_{148}\! \left(x \right)+F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = \frac{F_{162}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = -F_{151}\! \left(x \right)+F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = -F_{167}\! \left(x \right)+F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = \frac{F_{166}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{166}\! \left(x \right) = F_{18}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{22}\! \left(x \right)
F_{169}\! \left(x \right) = \frac{F_{170}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{170}\! \left(x \right) = F_{36}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right) F_{2}\! \left(x \right)
F_{172}\! \left(x \right) = \frac{F_{173}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = -F_{158}\! \left(x \right)+F_{167}\! \left(x \right)
F_{175}\! \left(x \right) = F_{156}\! \left(x \right) F_{77}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right) F_{22}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)+F_{193}\! \left(x \right)
F_{179}\! \left(x \right) = F_{13}\! \left(x \right) F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)+F_{79}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{5}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right) F_{22}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)+F_{187}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = F_{10}\! \left(x \right) F_{22}\! \left(x \right) F_{79}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right) F_{22}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)+F_{191}\! \left(x \right)
F_{190}\! \left(x \right) = F_{10}\! \left(x \right) F_{181}\! \left(x \right)
F_{191}\! \left(x \right) = F_{0}\! \left(x \right) F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = -F_{180}\! \left(x \right)+F_{82}\! \left(x \right)
F_{193}\! \left(x \right) = F_{192}\! \left(x \right) F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{158}\! \left(x \right)+F_{20}\! \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_22(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_22(x)*F_8(x))
Eq(F_8(x), F_176(x) + F_9(x))
Eq(F_9(x), F_10(x)*F_2(x))
Eq(F_10(x), F_0(x) + F_11(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_22(x))
Eq(F_13(x), F_14(x) + F_23(x))
Eq(F_14(x), F_10(x) + F_15(x))
Eq(F_15(x), F_16(x) - F_23(x))
Eq(F_16(x), F_17(x)/F_22(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_19(x) - F_2(x))
Eq(F_19(x), -F_0(x) + F_20(x))
Eq(F_20(x), F_21(x)/F_22(x))
Eq(F_21(x), F_2(x))
Eq(F_22(x), x)
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_22(x)*F_25(x))
Eq(F_25(x), F_26(x) - F_32(x))
Eq(F_26(x), F_27(x)/F_22(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_29(x) - F_31(x))
Eq(F_29(x), F_30(x)/F_22(x))
Eq(F_30(x), F_18(x))
Eq(F_31(x), F_2(x)*F_20(x))
Eq(F_32(x), F_175(x) + F_33(x))
Eq(F_33(x), F_2(x)*F_34(x))
Eq(F_34(x), F_35(x)/F_22(x))
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_19(x) + F_37(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_22(x)*F_39(x))
Eq(F_39(x), F_40(x) + F_42(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_22(x)*F_25(x))
Eq(F_42(x), F_137(x) + F_43(x))
Eq(F_43(x), F_44(x) + F_45(x))
Eq(F_44(x), F_19(x)*F_20(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_13(x)*F_22(x)*F_47(x))
Eq(F_47(x), F_48(x) + F_74(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_22(x)*F_50(x)*F_52(x))
Eq(F_50(x), F_48(x) + F_51(x))
Eq(F_51(x), x*(x - 2)*F_51(x)**2 + (x + 2)*F_51(x) - 1)
Eq(F_52(x), F_53(x)/(F_22(x)*F_73(x)))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_55(x)/F_22(x))
Eq(F_55(x), F_56(x) - F_71(x))
Eq(F_56(x), F_57(x) - F_59(x))
Eq(F_57(x), F_58(x)/F_22(x))
Eq(F_58(x), F_6(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_22(x)*F_61(x))
Eq(F_61(x), F_62(x)/F_22(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_64(x) - F_66(x))
Eq(F_64(x), F_65(x)/F_22(x))
Eq(F_65(x), F_6(x))
Eq(F_66(x), F_67(x) + F_70(x))
Eq(F_67(x), F_68(x) + F_69(x))
Eq(F_68(x), x*(x - 2)*(F_68(x) + 1)**2 + (x + 1)*(F_68(x) + 1) + F_68(x) - 1)
Eq(F_69(x), F_2(x)*F_22(x))
Eq(F_70(x), F_22(x)*F_5(x))
Eq(F_71(x), F_2(x) + F_72(x))
Eq(F_72(x), F_22(x)*F_68(x))
Eq(F_73(x), F_51(x) + F_54(x))
Eq(F_74(x), F_75(x) - F_84(x))
Eq(F_75(x), F_76(x)/F_22(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), -F_2(x) + F_78(x))
Eq(F_78(x), -F_51(x) + F_79(x))
Eq(F_79(x), F_0(x) + F_80(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_22(x)*F_82(x))
Eq(F_82(x), F_83(x)/F_22(x))
Eq(F_83(x), F_5(x))
Eq(F_84(x), F_85(x) - F_87(x))
Eq(F_85(x), F_86(x)/F_22(x))
Eq(F_86(x), F_80(x))
Eq(F_87(x), F_79(x) + F_88(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_22(x)*F_90(x))
Eq(F_90(x), F_108(x) + F_91(x))
Eq(F_91(x), F_107(x) + F_92(x))
Eq(F_92(x), F_93(x) + F_94(x))
Eq(F_93(x), F_51(x)*F_79(x))
Eq(F_94(x), F_88(x) + F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_22(x)*F_97(x))
Eq(F_97(x), F_98(x) + F_99(x))
Eq(F_98(x), F_73(x)*F_88(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_101(x)*F_22(x)*F_52(x)*F_73(x))
Eq(F_101(x), F_102(x) + F_87(x))
Eq(F_102(x), F_103(x) + F_2(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_105(x)*F_22(x))
Eq(F_105(x), F_106(x) + F_31(x))
Eq(F_106(x), F_0(x)*F_80(x))
Eq(F_107(x), F_0(x)*F_48(x))
Eq(F_108(x), F_109(x) + F_74(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x)*F_22(x))
Eq(F_111(x), F_112(x) + F_113(x))
Eq(F_112(x), F_4(x)*F_74(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_115(x)*F_22(x)*F_82(x))
Eq(F_115(x), F_116(x) - F_135(x))
Eq(F_116(x), F_117(x)/F_22(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x) + F_121(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_22(x)*F_87(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_123(x)*F_22(x))
Eq(F_123(x), F_124(x) + F_126(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_116(x)*F_22(x)*F_51(x))
Eq(F_126(x), F_118(x) + F_127(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_129(x)*F_22(x))
Eq(F_129(x), F_130(x) + F_131(x))
Eq(F_130(x), F_118(x)*F_50(x))
Eq(F_131(x), F_0(x)*F_132(x)*F_22(x))
Eq(F_132(x), F_133(x) + F_48(x))
Eq(F_133(x), F_134(x))
Eq(F_134(x), F_22(x)*F_48(x)*F_50(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_116(x)*F_22(x)*F_52(x))
Eq(F_137(x), F_138(x))
Eq(F_138(x), F_139(x)*F_22(x))
Eq(F_139(x), F_140(x) + F_171(x))
Eq(F_140(x), F_141(x)/F_22(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_143(x) - F_43(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_145(x)*F_22(x))
Eq(F_145(x), F_146(x) + F_152(x))
Eq(F_146(x), F_147(x)/F_22(x))
Eq(F_147(x), F_148(x))
Eq(F_148(x), F_149(x)/F_22(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_15(x) - F_151(x))
Eq(F_151(x), F_18(x) + F_2(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_154(x)*F_73(x))
Eq(F_154(x), F_155(x))
Eq(F_155(x), F_156(x)*F_22(x)*F_52(x))
Eq(F_156(x), F_157(x)/F_22(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_159(x)/F_50(x))
Eq(F_159(x), F_160(x))
Eq(F_160(x), -F_148(x) + F_161(x))
Eq(F_161(x), F_162(x)/F_22(x))
Eq(F_162(x), F_163(x))
Eq(F_163(x), -F_151(x) + F_164(x))
Eq(F_164(x), F_165(x) - F_167(x))
Eq(F_165(x), F_166(x)/F_22(x))
Eq(F_166(x), F_18(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x)*F_22(x))
Eq(F_169(x), F_170(x)/F_22(x))
Eq(F_170(x), F_36(x))
Eq(F_171(x), F_172(x)*F_2(x))
Eq(F_172(x), F_173(x)/F_22(x))
Eq(F_173(x), F_174(x))
Eq(F_174(x), -F_158(x) + F_167(x))
Eq(F_175(x), F_156(x)*F_77(x))
Eq(F_176(x), F_177(x))
Eq(F_177(x), F_178(x)*F_22(x))
Eq(F_178(x), F_179(x) + F_193(x))
Eq(F_179(x), F_13(x)*F_180(x))
Eq(F_180(x), F_181(x) + F_79(x))
Eq(F_181(x), F_182(x) + F_5(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_184(x)*F_22(x))
Eq(F_184(x), F_185(x) + F_187(x))
Eq(F_185(x), F_186(x))
Eq(F_186(x), F_10(x)*F_22(x)*F_79(x))
Eq(F_187(x), F_188(x))
Eq(F_188(x), F_189(x)*F_22(x))
Eq(F_189(x), F_190(x) + F_191(x))
Eq(F_190(x), F_10(x)*F_181(x))
Eq(F_191(x), F_0(x)*F_192(x))
Eq(F_192(x), -F_180(x) + F_82(x))
Eq(F_193(x), F_192(x)*F_194(x))
Eq(F_194(x), F_158(x) + F_20(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, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 4, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 4, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "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, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "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": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [2, 0]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], 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