02341_03241_03412_03421_20341_23041_30241_30412_30421_32041
Counting sequence:
1, 1, 2, 6, 24, 110, 542, 2786, 14758, 80008, 441856, 2477302, 14063768, 80683328, 467035458, 2724354160, 15998981890, 94510981904, 561229035746, 3348268591810, 20059261993978, 120627622230588, 727885668853632, 4405872819760520, 26744706288799260, 162771976815405168, 993043174396844530, 6071894084233485654, 37202945658406028390, 228383383000904984648, 1404523723920997420820, 8652069677631138944516, 53381540815825414336648, 329837822860617572095038, 2040844435961842214212708, 12644003590176594063559358, 78431892514742145792341552, 487085151417865126536528504, 3028267806159290642853923072, 18846731454738851408404402764, 117410583652907658200876700084, 732127401803997353644537804922, 4569351754047432746867554174724, 28542547590673837169370441980448, 178436644663323184487338343099816, 1116381535830935227814234037884924, 6989782840936581300062323623167150, 43794873929570260908858975740467520, 274586025992370266653354434571536902, 1722728891143796268772795954181614210, 10815020254905733727146851958367490494, 67935824948255527307795927715342943380, 426993571011541151039304456300210015286, 2685253034245145981014953239469476314754, 16895905065908927357185621342458885823808, 106365683578764969204511246210323392076958, 669942250184365646762949306025490140035244, 4221641136572440461505011187406946317298442, 26614978950410232309807034187205759420970590, 167866848290919348415098424365686496519586976, 1059232300118177867040902375170806217334917074, 6686498658675063654014320128492377345690845090, 42226168432306429289795458126524706978062650688, 266768373650492185920436677794302882222914159414, 1685976075431022227647191771030314383840717303516, 10659277617703477814891200071312143796054821964454, 67415315456912576686854572792123693968818774389974, 426519756396728140125060358462632273096126680324698, 2699386530513054469463995652934929547117968363494066, 17089607821575040051737702620244444339787020446521364, 108227131860914918002734282429256145423288788076710930, 685604003341405939006685625667931909064103210180119240, 4344501547338077071323349314796345906685551887059004994, 27538000979282056617015699713326228808598354134695509054, 174601223504300122584565724106778004239455694671546853914, 1107340751038386352259867308715589854511793933534594351282, 7024756148265720073919714801703224906328269279723749082658, 44575288253406992595295907820903342386555284870024616292710, 282922239989349587620189694961334629391211457470212612413138, 1796169142206395441032976388732631289023354719986053725167262, 11405961225074461093631801314276471037786046642828095055002754, 72446676854248874625426474239081149225543487388137425100882508, 460261303545692951256873221479663209876606717179426517597087632, 2924741325135662290715944415106044404260996523865814241122078340, 18589390022359042441154797541668712374399160050260166794339499128, 118177624128598698550382173766449076782628792529802393406547025760, 751442308446012589967902403060686210126993627587100763469977979276, 4779079089147468663999448386190328692620389238529487842436142035112, 30400376377488269735129001227255120250112833817745180317308396989016, 193418461025678101011627314940938641912439474213832178441593547832456, 1230833260063005814619977525784687986574548366947904632084809520317568, 7833954411515014174522098381198464650123830470451549687880476343333018, 49870257658561163090005567374289499401063734303874613201733927474435684, 317525958786225550987444291170314205772996059461689669194779934752218418, 2022051734918156280845653430411961289605621611985367374112016956546776634, 12878909638320811877358291165448760943297971600850171572676396176875993870, 82042368370344162493272901777034207453889314568395357801140773856902550026, 522718707346220814716135149354486645039645567491686049238099297614582450946, 3330943042024671724231053397195566389248313101928997947080717433997715558446, 21229231400113491280949089825640035931519666377446603296339239309534866253814, 135321832707546006610097800405294976370320045798002338145406637317537348808622
Specification 1
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/24379/
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[11,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[11,x]*F[7,x]
F[7,x] = F[17,x]+F[8,x]
F[8,x] = F[12,x]+F[9,x]
F[9,x] = 1/F[11,x]*F[10,x]
F[10,x] = F[2,x]
F[11,x] = x
F[12,x] = -F[192,x]+F[13,x]
F[13,x] = F[14,x]
F[14,x] = F[11,x]*F[15,x]
F[15,x] = 1/F[11,x]*F[16,x]
F[16,x] = F[17,x]
F[17,x] = F[18,x]+F[188,x]
F[18,x] = F[19,x]+F[20,x]
F[19,x] = F[0,x]*F[2,x]
F[20,x] = F[21,x]
F[21,x] = F[11,x]*F[22,x]
F[22,x] = F[139,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[11,x]*F[25,x]
F[25,x] = F[134,x]+F[26,x]
F[26,x] = F[0,x]*F[27,x]
F[27,x] = -F[133,x]+F[28,x]
F[28,x] = -F[100,x]+F[29,x]
F[29,x] = 1/F[0,x]/F[11,x]*F[30,x]
F[30,x] = F[31,x]
F[31,x] = -F[93,x]+F[32,x]
F[32,x] = -F[84,x]+F[33,x]
F[33,x] = 1/F[11,x]*F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[11,x]*F[36,x]*F[4,x]
F[36,x] = F[37,x]+F[84,x]
F[37,x] = F[0,x]+F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[0,x]*F[11,x]*F[40,x]
F[40,x] = F[37,x]+F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[11,x]*F[37,x]*F[43,x]
F[43,x] = 1/F[11,x]/F[12,x]*F[44,x]
F[44,x] = F[45,x]
F[45,x] = F[46,x]
F[46,x] = F[11,x]*F[47,x]
F[47,x] = F[48,x]+F[83,x]
F[48,x] = -F[79,x]+F[49,x]
F[49,x] = F[50,x]+F[51,x]
F[50,x] = F[37,x]*F[8,x]
F[51,x] = F[52,x]
F[52,x] = F[11,x]*F[36,x]*F[53,x]
F[53,x] = F[49,x]+F[54,x]
F[54,x] = F[55,x]+F[83,x]
F[55,x] = -F[79,x]+F[56,x]
F[56,x] = 1/F[11,x]*F[57,x]
F[57,x] = F[58,x]
F[58,x] = -F[64,x]+F[59,x]
F[59,x] = 1/F[11,x]*F[60,x]
F[60,x] = F[61,x]
F[61,x] = -F[63,x]+F[62,x]
F[62,x] = -F[0,x]+F[9,x]
F[63,x] = x*(1+F[63,x])^2*(x*F[63,x]+1)
F[64,x] = -F[68,x]+F[65,x]
F[65,x] = 1/F[11,x]*F[66,x]
F[66,x] = F[67,x]
F[67,x] = F[2,x]+F[61,x]
F[68,x] = F[69,x]+F[77,x]
F[69,x] = 1/F[0,x]*F[70,x]
F[70,x] = -F[73,x]+F[71,x]
F[71,x] = 1/F[11,x]*F[72,x]
F[72,x] = F[62,x]
F[73,x] = -F[76,x]+F[74,x]
F[74,x] = 1/F[11,x]*F[75,x]
F[75,x] = F[61,x]
F[76,x] = F[2,x]*F[69,x]
F[77,x] = -F[78,x]+F[74,x]
F[78,x] = F[12,x]+F[45,x]
F[79,x] = F[80,x]+F[81,x]
F[80,x] = F[37,x]*F[9,x]
F[81,x] = F[82,x]
F[82,x] = F[11,x]*F[36,x]*F[56,x]
F[83,x] = F[12,x]*F[84,x]
F[84,x] = F[85,x]+F[87,x]
F[85,x] = F[86,x]
F[86,x] = F[0,x]^2*F[11,x]
F[87,x] = F[88,x]
F[88,x] = F[11,x]*F[89,x]
F[89,x] = F[90,x]+F[91,x]
F[90,x] = F[40,x]*F[85,x]
F[91,x] = F[0,x]*F[92,x]
F[92,x] = -F[40,x]+F[43,x]
F[93,x] = F[0,x]*F[94,x]
F[94,x] = F[95,x]+F[96,x]
F[95,x] = 1+x^2*F[95,x]^3+(-x^2+x)*F[95,x]^2
F[96,x] = F[97,x]
F[97,x] = F[11,x]*F[98,x]
F[98,x] = 1/F[11,x]*F[99,x]
F[99,x] = F[67,x]
F[100,x] = F[101,x]*F[37,x]
F[101,x] = F[102,x]
F[102,x] = F[103,x]*F[11,x]
F[103,x] = F[104,x]+F[94,x]
F[104,x] = F[105,x]
F[105,x] = F[106,x]*F[11,x]
F[106,x] = F[107,x]+F[132,x]
F[107,x] = F[108,x]+F[121,x]
F[108,x] = F[103,x]+F[109,x]
F[109,x] = F[110,x]
F[110,x] = F[103,x]*F[11,x]*F[111,x]
F[111,x] = 1/F[11,x]/F[94,x]*F[112,x]
F[112,x] = F[113,x]
F[113,x] = -F[116,x]+F[114,x]
F[114,x] = 1/F[11,x]*F[115,x]
F[115,x] = F[61,x]
F[116,x] = -F[117,x]+F[98,x]
F[117,x] = F[118,x]+F[69,x]
F[118,x] = F[119,x]+F[96,x]
F[119,x] = F[120,x]
F[120,x] = F[11,x]*F[111,x]*F[96,x]
F[121,x] = F[122,x]*F[95,x]
F[122,x] = F[123,x]
F[123,x] = F[11,x]*F[124,x]
F[124,x] = F[125,x]+F[4,x]
F[125,x] = -F[130,x]+F[126,x]
F[126,x] = 1/F[11,x]*F[127,x]
F[127,x] = F[128,x]
F[128,x] = -F[63,x]+F[129,x]
F[129,x] = -F[0,x]+F[94,x]
F[130,x] = F[131,x]
F[131,x] = F[11,x]*F[111,x]*F[124,x]
F[132,x] = F[101,x]*F[95,x]
F[133,x] = F[122,x]*F[37,x]
F[134,x] = -F[138,x]+F[135,x]
F[135,x] = 1/F[11,x]*F[136,x]
F[136,x] = F[137,x]
F[137,x] = -F[38,x]+F[58,x]
F[138,x] = F[43,x]*F[62,x]
F[139,x] = F[140,x]
F[140,x] = -F[178,x]+F[141,x]
F[141,x] = F[142,x]+F[176,x]
F[142,x] = F[143,x]+F[152,x]
F[143,x] = F[144,x]
F[144,x] = F[145,x]+F[148,x]
F[145,x] = -F[0,x]+F[146,x]
F[146,x] = 1/F[11,x]*F[147,x]
F[147,x] = F[2,x]
F[148,x] = F[149,x]
F[149,x] = F[11,x]*F[150,x]*F[2,x]
F[150,x] = 1/F[11,x]*F[151,x]
F[151,x] = F[145,x]
F[152,x] = F[153,x]
F[153,x] = F[11,x]*F[154,x]
F[154,x] = F[155,x]+F[157,x]
F[155,x] = F[0,x]*F[156,x]*F[4,x]
F[156,x] = F[151,x]
F[157,x] = F[158,x]
F[158,x] = F[11,x]*F[159,x]
F[159,x] = F[160,x]+F[175,x]
F[160,x] = F[161,x]
F[161,x] = F[11,x]*F[162,x]
F[162,x] = F[163,x]+F[173,x]
F[163,x] = F[0,x]+F[164,x]
F[164,x] = F[165,x]+F[2,x]
F[165,x] = F[166,x]
F[166,x] = F[11,x]*F[167,x]
F[167,x] = F[168,x]+F[169,x]
F[168,x] = F[146,x]*F[2,x]
F[169,x] = F[160,x]+F[170,x]
F[170,x] = F[171,x]*F[85,x]
F[171,x] = F[172,x]+F[2,x]
F[172,x] = -F[2,x]+F[145,x]
F[173,x] = F[174,x]
F[174,x] = F[0,x]^2*F[2,x]
F[175,x] = F[5,x]*F[85,x]
F[176,x] = F[177,x]
F[177,x] = F[11,x]*F[142,x]*F[40,x]
F[178,x] = F[179,x]
F[179,x] = F[0,x]*F[11,x]*F[180,x]*F[37,x]
F[180,x] = F[181,x]+F[186,x]
F[181,x] = F[182,x]
F[182,x] = F[0,x]*F[11,x]*F[183,x]
F[183,x] = F[184,x]+F[5,x]
F[184,x] = F[171,x]+F[185,x]
F[185,x] = F[0,x]+F[2,x]
F[186,x] = -F[187,x]+F[150,x]
F[187,x] = F[181,x]+F[4,x]
F[188,x] = F[189,x]
F[189,x] = F[11,x]*F[190,x]*F[36,x]
F[190,x] = 1/F[11,x]*F[191,x]
F[191,x] = F[172,x]
F[192,x] = F[193,x]
F[193,x] = F[11,x]*F[194,x]*F[36,x]
F[194,x] = 1/F[11,x]*F[195,x]
F[195,x] = F[196,x]
F[196,x] = -F[2,x]+F[197,x]
F[197,x] = F[198,x]
F[198,x] = F[11,x]*F[150,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_{11}\! \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_{6}\! \left(x \right) = F_{11}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{17}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{12}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = \frac{F_{10}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{10}\! \left(x \right) = F_{2}\! \left(x \right)
F_{11}\! \left(x \right) = x
F_{12}\! \left(x \right) = -F_{192}\! \left(x \right)+F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{11}\! \left(x \right) F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = \frac{F_{16}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{188}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{20}\! \left(x \right)
F_{19}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{11}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{139}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{11}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{134}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{0}\! \left(x \right) F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = -F_{133}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = -F_{100}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{0}\! \left(x \right) F_{11}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{93}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = -F_{84}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = \frac{F_{34}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{11}\! \left(x \right) F_{36}\! \left(x \right) F_{4}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{84}\! \left(x \right)
F_{37}\! \left(x \right) = F_{0}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{37}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{11}\! \left(x \right) F_{37}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = \frac{F_{44}\! \left(x \right)}{F_{11}\! \left(x \right) F_{12}\! \left(x \right)}
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{11}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{83}\! \left(x \right)
F_{48}\! \left(x \right) = -F_{79}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)+F_{51}\! \left(x \right)
F_{50}\! \left(x \right) = F_{37}\! \left(x \right) F_{8}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{11}\! \left(x \right) F_{36}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{49}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{83}\! \left(x \right)
F_{55}\! \left(x \right) = -F_{79}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = -F_{64}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = \frac{F_{60}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = -F_{63}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{9}\! \left(x \right)
F_{63}\! \left(x \right) = x^{2} F_{63} \left(x \right)^{3}+2 x^{2} F_{63} \left(x \right)^{2}+x^{2} F_{63}\! \left(x \right)+x F_{63} \left(x \right)^{2}+2 x F_{63}\! \left(x \right)+x
F_{64}\! \left(x \right) = -F_{68}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = \frac{F_{66}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{2}\! \left(x \right)+F_{61}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{77}\! \left(x \right)
F_{69}\! \left(x \right) = \frac{F_{70}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{70}\! \left(x \right) = -F_{73}\! \left(x \right)+F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = \frac{F_{72}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{72}\! \left(x \right) = F_{62}\! \left(x \right)
F_{73}\! \left(x \right) = -F_{76}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = \frac{F_{75}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{75}\! \left(x \right) = F_{61}\! \left(x \right)
F_{76}\! \left(x \right) = F_{2}\! \left(x \right) F_{69}\! \left(x \right)
F_{77}\! \left(x \right) = -F_{78}\! \left(x \right)+F_{74}\! \left(x \right)
F_{78}\! \left(x \right) = F_{12}\! \left(x \right)+F_{45}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)+F_{81}\! \left(x \right)
F_{80}\! \left(x \right) = F_{37}\! \left(x \right) F_{9}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{11}\! \left(x \right) F_{36}\! \left(x \right) F_{56}\! \left(x \right)
F_{83}\! \left(x \right) = F_{12}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{87}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{11}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{11}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)+F_{91}\! \left(x \right)
F_{90}\! \left(x \right) = F_{40}\! \left(x \right) F_{85}\! \left(x \right)
F_{91}\! \left(x \right) = F_{0}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = -F_{40}\! \left(x \right)+F_{43}\! \left(x \right)
F_{93}\! \left(x \right) = F_{0}\! \left(x \right) F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)+F_{96}\! \left(x \right)
F_{95}\! \left(x \right) = x^{2} F_{95} \left(x \right)^{3}-x^{2} F_{95} \left(x \right)^{2}+x F_{95} \left(x \right)^{2}+1
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{11}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = \frac{F_{99}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{99}\! \left(x \right) = F_{67}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{37}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{11}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{94}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right) F_{11}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{132}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{121}\! \left(x \right)
F_{108}\! \left(x \right) = F_{103}\! \left(x \right)+F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{103}\! \left(x \right) F_{11}\! \left(x \right) F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = \frac{F_{112}\! \left(x \right)}{F_{11}\! \left(x \right) F_{94}\! \left(x \right)}
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = -F_{116}\! \left(x \right)+F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = \frac{F_{115}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{115}\! \left(x \right) = F_{61}\! \left(x \right)
F_{116}\! \left(x \right) = -F_{117}\! \left(x \right)+F_{98}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{69}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{96}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{11}\! \left(x \right) F_{111}\! \left(x \right) F_{96}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right) F_{95}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{11}\! \left(x \right) F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{4}\! \left(x \right)
F_{125}\! \left(x \right) = -F_{130}\! \left(x \right)+F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = \frac{F_{127}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = -F_{63}\! \left(x \right)+F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{94}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{11}\! \left(x \right) F_{111}\! \left(x \right) F_{124}\! \left(x \right)
F_{132}\! \left(x \right) = F_{101}\! \left(x \right) F_{95}\! \left(x \right)
F_{133}\! \left(x \right) = F_{122}\! \left(x \right) F_{37}\! \left(x \right)
F_{134}\! \left(x \right) = -F_{138}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = \frac{F_{136}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = -F_{38}\! \left(x \right)+F_{58}\! \left(x \right)
F_{138}\! \left(x \right) = F_{43}\! \left(x \right) F_{62}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = -F_{178}\! \left(x \right)+F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{176}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{152}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)+F_{148}\! \left(x \right)
F_{145}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = \frac{F_{147}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{147}\! \left(x \right) = F_{2}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{11}\! \left(x \right) F_{150}\! \left(x \right) F_{2}\! \left(x \right)
F_{150}\! \left(x \right) = \frac{F_{151}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{151}\! \left(x \right) = F_{145}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{11}\! \left(x \right) F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{157}\! \left(x \right)
F_{155}\! \left(x \right) = F_{0}\! \left(x \right) F_{156}\! \left(x \right) F_{4}\! \left(x \right)
F_{156}\! \left(x \right) = F_{151}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{11}\! \left(x \right) F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{175}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{11}\! \left(x \right) F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{173}\! \left(x \right)
F_{163}\! \left(x \right) = F_{0}\! \left(x \right)+F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)+F_{2}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{11}\! \left(x \right) F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{169}\! \left(x \right)
F_{168}\! \left(x \right) = F_{146}\! \left(x \right) F_{2}\! \left(x \right)
F_{169}\! \left(x \right) = F_{160}\! \left(x \right)+F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right) F_{85}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)+F_{2}\! \left(x \right)
F_{172}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{145}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{2}\! \left(x \right)
F_{175}\! \left(x \right) = F_{5}\! \left(x \right) F_{85}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{11}\! \left(x \right) F_{142}\! \left(x \right) F_{40}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{180}\! \left(x \right) F_{37}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)+F_{186}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)+F_{5}\! \left(x \right)
F_{184}\! \left(x \right) = F_{171}\! \left(x \right)+F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{0}\! \left(x \right)+F_{2}\! \left(x \right)
F_{186}\! \left(x \right) = -F_{187}\! \left(x \right)+F_{150}\! \left(x \right)
F_{187}\! \left(x \right) = F_{181}\! \left(x \right)+F_{4}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{11}\! \left(x \right) F_{190}\! \left(x \right) F_{36}\! \left(x \right)
F_{190}\! \left(x \right) = \frac{F_{191}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{191}\! \left(x \right) = F_{172}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = F_{11}\! \left(x \right) F_{194}\! \left(x \right) F_{36}\! \left(x \right)
F_{194}\! \left(x \right) = \frac{F_{195}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = F_{11}\! \left(x \right) F_{150}\! \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_11(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_11(x)*F_7(x))
Eq(F_7(x), F_17(x) + F_8(x))
Eq(F_8(x), F_12(x) + F_9(x))
Eq(F_9(x), F_10(x)/F_11(x))
Eq(F_10(x), F_2(x))
Eq(F_11(x), x)
Eq(F_12(x), F_13(x) - F_192(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_11(x)*F_15(x))
Eq(F_15(x), F_16(x)/F_11(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x) + F_188(x))
Eq(F_18(x), F_19(x) + F_20(x))
Eq(F_19(x), F_0(x)*F_2(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_11(x)*F_22(x))
Eq(F_22(x), F_139(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_11(x)*F_25(x))
Eq(F_25(x), F_134(x) + F_26(x))
Eq(F_26(x), F_0(x)*F_27(x))
Eq(F_27(x), -F_133(x) + F_28(x))
Eq(F_28(x), -F_100(x) + F_29(x))
Eq(F_29(x), F_30(x)/(F_0(x)*F_11(x)))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x) - F_93(x))
Eq(F_32(x), F_33(x) - F_84(x))
Eq(F_33(x), F_34(x)/F_11(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_11(x)*F_36(x)*F_4(x))
Eq(F_36(x), F_37(x) + F_84(x))
Eq(F_37(x), F_0(x) + F_38(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_0(x)*F_11(x)*F_40(x))
Eq(F_40(x), F_37(x) + F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_11(x)*F_37(x)*F_43(x))
Eq(F_43(x), F_44(x)/(F_11(x)*F_12(x)))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_11(x)*F_47(x))
Eq(F_47(x), F_48(x) + F_83(x))
Eq(F_48(x), F_49(x) - F_79(x))
Eq(F_49(x), F_50(x) + F_51(x))
Eq(F_50(x), F_37(x)*F_8(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_11(x)*F_36(x)*F_53(x))
Eq(F_53(x), F_49(x) + F_54(x))
Eq(F_54(x), F_55(x) + F_83(x))
Eq(F_55(x), F_56(x) - F_79(x))
Eq(F_56(x), F_57(x)/F_11(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_59(x) - F_64(x))
Eq(F_59(x), F_60(x)/F_11(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_62(x) - F_63(x))
Eq(F_62(x), -F_0(x) + F_9(x))
Eq(F_63(x), x**2*(F_63(x) + 1)**3 - x*(x - 1)*(F_63(x) + 1)**2)
Eq(F_64(x), F_65(x) - F_68(x))
Eq(F_65(x), F_66(x)/F_11(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_2(x) + F_61(x))
Eq(F_68(x), F_69(x) + F_77(x))
Eq(F_69(x), F_70(x)/F_0(x))
Eq(F_70(x), F_71(x) - F_73(x))
Eq(F_71(x), F_72(x)/F_11(x))
Eq(F_72(x), F_62(x))
Eq(F_73(x), F_74(x) - F_76(x))
Eq(F_74(x), F_75(x)/F_11(x))
Eq(F_75(x), F_61(x))
Eq(F_76(x), F_2(x)*F_69(x))
Eq(F_77(x), F_74(x) - F_78(x))
Eq(F_78(x), F_12(x) + F_45(x))
Eq(F_79(x), F_80(x) + F_81(x))
Eq(F_80(x), F_37(x)*F_9(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_11(x)*F_36(x)*F_56(x))
Eq(F_83(x), F_12(x)*F_84(x))
Eq(F_84(x), F_85(x) + F_87(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_0(x)**2*F_11(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), F_11(x)*F_89(x))
Eq(F_89(x), F_90(x) + F_91(x))
Eq(F_90(x), F_40(x)*F_85(x))
Eq(F_91(x), F_0(x)*F_92(x))
Eq(F_92(x), -F_40(x) + F_43(x))
Eq(F_93(x), F_0(x)*F_94(x))
Eq(F_94(x), F_95(x) + F_96(x))
Eq(F_95(x), x**2*F_95(x)**3 - x*(x - 1)*F_95(x)**2 + 1)
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_11(x)*F_98(x))
Eq(F_98(x), F_99(x)/F_11(x))
Eq(F_99(x), F_67(x))
Eq(F_100(x), F_101(x)*F_37(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_103(x)*F_11(x))
Eq(F_103(x), F_104(x) + F_94(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_106(x)*F_11(x))
Eq(F_106(x), F_107(x) + F_132(x))
Eq(F_107(x), F_108(x) + F_121(x))
Eq(F_108(x), F_103(x) + F_109(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_103(x)*F_11(x)*F_111(x))
Eq(F_111(x), F_112(x)/(F_11(x)*F_94(x)))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x) - F_116(x))
Eq(F_114(x), F_115(x)/F_11(x))
Eq(F_115(x), F_61(x))
Eq(F_116(x), -F_117(x) + F_98(x))
Eq(F_117(x), F_118(x) + F_69(x))
Eq(F_118(x), F_119(x) + F_96(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_11(x)*F_111(x)*F_96(x))
Eq(F_121(x), F_122(x)*F_95(x))
Eq(F_122(x), F_123(x))
Eq(F_123(x), F_11(x)*F_124(x))
Eq(F_124(x), F_125(x) + F_4(x))
Eq(F_125(x), F_126(x) - F_130(x))
Eq(F_126(x), F_127(x)/F_11(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_129(x) - F_63(x))
Eq(F_129(x), -F_0(x) + F_94(x))
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_11(x)*F_111(x)*F_124(x))
Eq(F_132(x), F_101(x)*F_95(x))
Eq(F_133(x), F_122(x)*F_37(x))
Eq(F_134(x), F_135(x) - F_138(x))
Eq(F_135(x), F_136(x)/F_11(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), -F_38(x) + F_58(x))
Eq(F_138(x), F_43(x)*F_62(x))
Eq(F_139(x), F_140(x))
Eq(F_140(x), F_141(x) - F_178(x))
Eq(F_141(x), F_142(x) + F_176(x))
Eq(F_142(x), F_143(x) + F_152(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_145(x) + F_148(x))
Eq(F_145(x), -F_0(x) + F_146(x))
Eq(F_146(x), F_147(x)/F_11(x))
Eq(F_147(x), F_2(x))
Eq(F_148(x), F_149(x))
Eq(F_149(x), F_11(x)*F_150(x)*F_2(x))
Eq(F_150(x), F_151(x)/F_11(x))
Eq(F_151(x), F_145(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_11(x)*F_154(x))
Eq(F_154(x), F_155(x) + F_157(x))
Eq(F_155(x), F_0(x)*F_156(x)*F_4(x))
Eq(F_156(x), F_151(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_11(x)*F_159(x))
Eq(F_159(x), F_160(x) + F_175(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_11(x)*F_162(x))
Eq(F_162(x), F_163(x) + F_173(x))
Eq(F_163(x), F_0(x) + F_164(x))
Eq(F_164(x), F_165(x) + F_2(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_11(x)*F_167(x))
Eq(F_167(x), F_168(x) + F_169(x))
Eq(F_168(x), F_146(x)*F_2(x))
Eq(F_169(x), F_160(x) + F_170(x))
Eq(F_170(x), F_171(x)*F_85(x))
Eq(F_171(x), F_172(x) + F_2(x))
Eq(F_172(x), F_145(x) - F_2(x))
Eq(F_173(x), F_174(x))
Eq(F_174(x), F_0(x)**2*F_2(x))
Eq(F_175(x), F_5(x)*F_85(x))
Eq(F_176(x), F_177(x))
Eq(F_177(x), F_11(x)*F_142(x)*F_40(x))
Eq(F_178(x), F_179(x))
Eq(F_179(x), F_0(x)*F_11(x)*F_180(x)*F_37(x))
Eq(F_180(x), F_181(x) + F_186(x))
Eq(F_181(x), F_182(x))
Eq(F_182(x), F_0(x)*F_11(x)*F_183(x))
Eq(F_183(x), F_184(x) + F_5(x))
Eq(F_184(x), F_171(x) + F_185(x))
Eq(F_185(x), F_0(x) + F_2(x))
Eq(F_186(x), F_150(x) - F_187(x))
Eq(F_187(x), F_181(x) + F_4(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), F_11(x)*F_190(x)*F_36(x))
Eq(F_190(x), F_191(x)/F_11(x))
Eq(F_191(x), F_172(x))
Eq(F_192(x), F_193(x))
Eq(F_193(x), F_11(x)*F_194(x)*F_36(x))
Eq(F_194(x), F_195(x)/F_11(x))
Eq(F_195(x), F_196(x))
Eq(F_196(x), F_197(x) - F_2(x))
Eq(F_197(x), F_198(x))
Eq(F_198(x), F_11(x)*F_150(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [2, 0, 3, 4, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 2, 0, 4, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [2, 0, 3, 4, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 2, 0, 4, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 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": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 2], [0, 2], [0, 0], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 1, 0, 3], "pos": [[0, 2], [0, 2], [0, 0], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 4, 1], "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, 2], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 1, 0, 3], "pos": [[0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 4, 1], "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, 1], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [0, 2]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 2], [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, 2], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[1, 2], [1, 0], [1, 2], [1, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], 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0], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [2, 3, 0, 1], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [2, 3, 0, 1], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [2, 3, 1, 0], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [2, 3, 1, 0], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[2, 1]]}], [{"patt": [0], "pos": [[1, 3]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[0, 5]]}, {"patt": [0], "pos": [[0, 6]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0], "pos": [[1, 6]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 3]]}, {"patt": [0], "pos": [[2, 5]]}, {"patt": [0, 1], "pos": [[0, 3], [0, 3]]}, {"patt": [0, 1], "pos": [[1, 5], [1, 5]]}, {"patt": [0, 1], "pos": [[2, 2], [2, 2]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 3]]}, {"patt": [1, 0], "pos": [[0, 3], [2, 2]]}, {"patt": [1, 0], "pos": [[1, 5], [1, 5]]}, {"patt": [1, 0], "pos": [[2, 2], [2, 2]]}, {"patt": [1, 0], "pos": [[2, 6], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 3], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 2], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 4], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 6], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[2, 4], [2, 4], [2, 2]]}, {"patt": [1, 2, 0], "pos": [[2, 4], [2, 6], [2, 4]]}, {"patt": [1, 2, 0], "pos": [[2, 6], [2, 6], [2, 4]]}, {"patt": [2, 0, 1], "pos": [[2, 6], [2, 4], [2, 4]]}, {"patt": [2, 1, 0], "pos": [[2, 6], [2, 4], [2, 4]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 6], [2, 6], [2, 6], [2, 6]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 6], [2, 6], [2, 6], [2, 6]]}, {"patt": [2, 3, 0, 1], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [2, 3, 0, 1], "pos": [[2, 6], [2, 6], [2, 6], [2, 6]]}, {"patt": [2, 3, 1, 0], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [2, 3, 1, 0], "pos": [[2, 6], [2, 6], [2, 6], [2, 6]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 3]]}, {"patt": [0], "pos": [[2, 2]]}], [{"patt": [0], "pos": [[1, 5]]}]], "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": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 1, 0], "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, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [2, 0, 3, 4, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 2, 0, 4, 1]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 1, 0], "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, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [2, 0, 3, 4, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 2, 0, 4, 1]], "symmetry": false}}]}
Specification 2
Strategy pack name: insertion_point_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://permpal.com/tree/24609/
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[15,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[15,x]*F[8,x]
F[8,x] = F[164,x]+F[9,x]
F[9,x] = F[10,x]+F[17,x]
F[10,x] = F[11,x]+F[12,x]
F[11,x] = x*(1+F[11,x])^2*(x*F[11,x]+1)
F[12,x] = -F[16,x]+F[13,x]
F[13,x] = 1/F[15,x]*F[14,x]
F[14,x] = F[2,x]
F[15,x] = x
F[16,x] = 1+x^2*F[16,x]^3+(-x^2+x)*F[16,x]^2
F[17,x] = F[18,x]+F[19,x]
F[18,x] = F[11,x]*F[2,x]
F[19,x] = F[20,x]+F[36,x]
F[20,x] = F[21,x]
F[21,x] = F[15,x]*F[22,x]
F[22,x] = F[23,x]+F[35,x]
F[23,x] = F[24,x]+F[25,x]
F[24,x] = F[0,x]*F[2,x]
F[25,x] = F[26,x]+F[27,x]
F[26,x] = F[2,x]^2
F[27,x] = F[28,x]
F[28,x] = F[15,x]*F[29,x]
F[29,x] = F[30,x]+F[33,x]
F[30,x] = F[20,x]+F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[2,x]^2*F[11,x]
F[33,x] = F[34,x]
F[34,x] = F[2,x]^2*F[12,x]
F[35,x] = F[2,x]*F[4,x]
F[36,x] = F[37,x]
F[37,x] = F[15,x]*F[38,x]
F[38,x] = F[136,x]+F[39,x]
F[39,x] = F[19,x]+F[40,x]
F[40,x] = F[41,x]
F[41,x] = F[2,x]*F[42,x]
F[42,x] = F[43,x]+F[44,x]
F[43,x] = F[11,x]*F[2,x]
F[44,x] = F[45,x]
F[45,x] = F[15,x]*F[46,x]*F[90,x]
F[46,x] = F[16,x]+F[47,x]
F[47,x] = F[11,x]+F[48,x]
F[48,x] = F[49,x]
F[49,x] = F[15,x]*F[46,x]*F[50,x]
F[50,x] = 1/F[15,x]/F[4,x]*F[51,x]
F[51,x] = F[52,x]
F[52,x] = F[53,x]
F[53,x] = F[15,x]*F[54,x]
F[54,x] = F[55,x]+F[56,x]
F[55,x] = F[15,x]*F[16,x]
F[56,x] = F[57,x]+F[86,x]
F[57,x] = F[58,x]+F[59,x]
F[58,x] = F[16,x]*F[2,x]
F[59,x] = F[52,x]+F[60,x]
F[60,x] = F[61,x]
F[61,x] = F[15,x]*F[62,x]
F[62,x] = F[63,x]+F[85,x]
F[63,x] = F[2,x]*F[64,x]
F[64,x] = -F[81,x]+F[65,x]
F[65,x] = 1/F[15,x]*F[66,x]
F[66,x] = F[67,x]
F[67,x] = F[68,x]
F[68,x] = F[15,x]*F[69,x]
F[69,x] = F[70,x]+F[71,x]
F[70,x] = -F[11,x]+F[50,x]
F[71,x] = F[72,x]+F[74,x]
F[72,x] = F[11,x]*F[73,x]
F[73,x] = F[16,x]+F[70,x]
F[74,x] = F[67,x]+F[75,x]
F[75,x] = -F[80,x]+F[76,x]
F[76,x] = -F[79,x]+F[77,x]
F[77,x] = 1/F[15,x]*F[78,x]
F[78,x] = F[48,x]
F[79,x] = F[48,x]+F[50,x]
F[80,x] = F[11,x]*F[50,x]
F[81,x] = F[11,x]*F[82,x]
F[82,x] = F[64,x]+F[83,x]
F[83,x] = F[16,x]+F[84,x]
F[84,x] = F[11,x]+F[67,x]
F[85,x] = F[52,x]*F[82,x]
F[86,x] = F[16,x]*F[87,x]
F[87,x] = F[88,x]
F[88,x] = F[15,x]*F[89,x]
F[89,x] = F[2,x]+F[5,x]
F[90,x] = F[107,x]+F[91,x]
F[91,x] = F[92,x]
F[92,x] = F[15,x]*F[93,x]
F[93,x] = F[94,x]+F[96,x]
F[94,x] = F[42,x]+F[95,x]
F[95,x] = F[2,x]+F[91,x]
F[96,x] = F[97,x]+F[99,x]
F[97,x] = F[2,x]*F[98,x]
F[98,x] = F[16,x]+F[95,x]
F[99,x] = F[100,x]+F[103,x]
F[100,x] = F[101,x]+F[91,x]
F[101,x] = F[102,x]
F[102,x] = F[15,x]*F[50,x]*F[93,x]
F[103,x] = F[104,x]+F[105,x]
F[104,x] = F[2,x]*F[91,x]
F[105,x] = F[106,x]
F[106,x] = F[15,x]*F[90,x]*F[93,x]
F[107,x] = F[108,x]+F[111,x]
F[108,x] = F[109,x]
F[109,x] = F[110,x]*F[15,x]
F[110,x] = F[2,x]+F[24,x]
F[111,x] = F[112,x]
F[112,x] = F[113,x]*F[15,x]
F[113,x] = F[114,x]+F[134,x]
F[114,x] = F[115,x]+F[133,x]
F[115,x] = -F[132,x]+F[116,x]
F[116,x] = -F[126,x]+F[117,x]
F[117,x] = 1/F[15,x]*F[118,x]
F[118,x] = F[119,x]
F[119,x] = -F[91,x]+F[120,x]
F[120,x] = -F[95,x]+F[121,x]
F[121,x] = -F[124,x]+F[122,x]
F[122,x] = 1/F[15,x]*F[123,x]
F[123,x] = F[91,x]
F[124,x] = F[125,x]*F[2,x]
F[125,x] = F[121,x]+F[83,x]
F[126,x] = F[127,x]+F[129,x]
F[127,x] = F[128,x]*F[2,x]
F[128,x] = F[115,x]+F[64,x]
F[129,x] = F[130,x]*F[91,x]
F[130,x] = F[131,x]+F[82,x]
F[131,x] = F[115,x]+F[121,x]
F[132,x] = F[11,x]*F[131,x]
F[133,x] = F[121,x]*F[15,x]
F[134,x] = F[127,x]+F[135,x]
F[135,x] = F[108,x]*F[125,x]
F[136,x] = F[137,x]+F[155,x]
F[137,x] = F[138,x]+F[139,x]
F[138,x] = F[16,x]*F[20,x]
F[139,x] = F[140,x]+F[147,x]
F[140,x] = F[141,x]
F[141,x] = F[142,x]*F[15,x]
F[142,x] = F[143,x]+F[144,x]
F[143,x] = F[2,x]*F[23,x]
F[144,x] = F[145,x]*F[2,x]*F[4,x]
F[145,x] = F[146,x]+F[15,x]
F[146,x] = F[108,x]+F[2,x]
F[147,x] = F[148,x]
F[148,x] = F[149,x]*F[15,x]
F[149,x] = F[150,x]+F[151,x]
F[150,x] = F[23,x]*F[91,x]
F[151,x] = F[152,x]*F[2,x]*F[4,x]
F[152,x] = F[153,x]+F[154,x]
F[153,x] = -F[15,x]+F[70,x]
F[154,x] = F[111,x]+F[91,x]
F[155,x] = F[156,x]+F[159,x]
F[156,x] = F[157,x]+F[36,x]
F[157,x] = F[158,x]
F[158,x] = F[15,x]*F[38,x]*F[50,x]
F[159,x] = F[160,x]+F[162,x]
F[160,x] = F[161,x]
F[161,x] = F[15,x]*F[36,x]*F[4,x]
F[162,x] = F[163,x]
F[163,x] = F[15,x]*F[38,x]*F[90,x]
F[164,x] = F[165,x]+F[17,x]
F[165,x] = F[166,x]+F[167,x]
F[166,x] = F[11,x]*F[6,x]
F[167,x] = F[168,x]+F[170,x]
F[168,x] = F[169,x]
F[169,x] = F[145,x]*F[15,x]*F[8,x]
F[170,x] = F[171,x]
F[171,x] = F[15,x]*F[152,x]*F[8,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_{15}\! \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_{15}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{164}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{17}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{12}\! \left(x \right)
F_{11}\! \left(x \right) = x^{2} F_{11} \left(x \right)^{3}+2 x^{2} F_{11} \left(x \right)^{2}+x^{2} F_{11}\! \left(x \right)+x F_{11} \left(x \right)^{2}+2 x F_{11}\! \left(x \right)+x
F_{12}\! \left(x \right) = -F_{16}\! \left(x \right)+F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = \frac{F_{14}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{14}\! \left(x \right) = F_{2}\! \left(x \right)
F_{15}\! \left(x \right) = x
F_{16}\! \left(x \right) = x^{2} F_{16} \left(x \right)^{3}-x^{2} F_{16} \left(x \right)^{2}+x F_{16} \left(x \right)^{2}+1
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{19}\! \left(x \right)
F_{18}\! \left(x \right) = F_{11}\! \left(x \right) F_{2}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{36}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{15}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{35}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{25}\! \left(x \right)
F_{24}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{27}\! \left(x \right)
F_{26}\! \left(x \right) = F_{2} \left(x \right)^{2}
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{15}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{33}\! \left(x \right)
F_{30}\! \left(x \right) = F_{20}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{2} \left(x \right)^{2} F_{11}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{2} \left(x \right)^{2} F_{12}\! \left(x \right)
F_{35}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{15}\! \left(x \right) F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{136}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{19}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{2}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{44}\! \left(x \right)
F_{43}\! \left(x \right) = F_{11}\! \left(x \right) F_{2}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{15}\! \left(x \right) F_{46}\! \left(x \right) F_{90}\! \left(x \right)
F_{46}\! \left(x \right) = F_{16}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{11}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{15}\! \left(x \right) F_{46}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = \frac{F_{51}\! \left(x \right)}{F_{15}\! \left(x \right) F_{4}\! \left(x \right)}
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{15}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{56}\! \left(x \right)
F_{55}\! \left(x \right) = F_{15}\! \left(x \right) F_{16}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)+F_{86}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)+F_{59}\! \left(x \right)
F_{58}\! \left(x \right) = F_{16}\! \left(x \right) F_{2}\! \left(x \right)
F_{59}\! \left(x \right) = F_{52}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{15}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{85}\! \left(x \right)
F_{63}\! \left(x \right) = F_{2}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = -F_{81}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = \frac{F_{66}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{15}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)+F_{71}\! \left(x \right)
F_{70}\! \left(x \right) = -F_{11}\! \left(x \right)+F_{50}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{74}\! \left(x \right)
F_{72}\! \left(x \right) = F_{11}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{16}\! \left(x \right)+F_{70}\! \left(x \right)
F_{74}\! \left(x \right) = F_{67}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = -F_{80}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = -F_{79}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = \frac{F_{78}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{78}\! \left(x \right) = F_{48}\! \left(x \right)
F_{79}\! \left(x \right) = F_{48}\! \left(x \right)+F_{50}\! \left(x \right)
F_{80}\! \left(x \right) = F_{11}\! \left(x \right) F_{50}\! \left(x \right)
F_{81}\! \left(x \right) = F_{11}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{64}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{16}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{11}\! \left(x \right)+F_{67}\! \left(x \right)
F_{85}\! \left(x \right) = F_{52}\! \left(x \right) F_{82}\! \left(x \right)
F_{86}\! \left(x \right) = F_{16}\! \left(x \right) F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{15}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{2}\! \left(x \right)+F_{5}\! \left(x \right)
F_{90}\! \left(x \right) = F_{107}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{15}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)+F_{96}\! \left(x \right)
F_{94}\! \left(x \right) = F_{42}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{2}\! \left(x \right)+F_{91}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)+F_{99}\! \left(x \right)
F_{97}\! \left(x \right) = F_{2}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{16}\! \left(x \right)+F_{95}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)+F_{103}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{91}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{15}\! \left(x \right) F_{50}\! \left(x \right) F_{93}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{105}\! \left(x \right)
F_{104}\! \left(x \right) = F_{2}\! \left(x \right) F_{91}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{15}\! \left(x \right) F_{90}\! \left(x \right) F_{93}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{111}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right) F_{15}\! \left(x \right)
F_{110}\! \left(x \right) = F_{2}\! \left(x \right)+F_{24}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{15}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{134}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)+F_{133}\! \left(x \right)
F_{115}\! \left(x \right) = -F_{132}\! \left(x \right)+F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = -F_{126}\! \left(x \right)+F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = \frac{F_{118}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = -F_{91}\! \left(x \right)+F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = -F_{95}\! \left(x \right)+F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = -F_{124}\! \left(x \right)+F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = \frac{F_{123}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{123}\! \left(x \right) = F_{91}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right) F_{2}\! \left(x \right)
F_{125}\! \left(x \right) = F_{121}\! \left(x \right)+F_{83}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{129}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{2}\! \left(x \right)
F_{128}\! \left(x \right) = F_{115}\! \left(x \right)+F_{64}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right) F_{91}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{82}\! \left(x \right)
F_{131}\! \left(x \right) = F_{115}\! \left(x \right)+F_{121}\! \left(x \right)
F_{132}\! \left(x \right) = F_{11}\! \left(x \right) F_{131}\! \left(x \right)
F_{133}\! \left(x \right) = F_{121}\! \left(x \right) F_{15}\! \left(x \right)
F_{134}\! \left(x \right) = F_{127}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{108}\! \left(x \right) F_{125}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)+F_{155}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{139}\! \left(x \right)
F_{138}\! \left(x \right) = F_{16}\! \left(x \right) F_{20}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{147}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{15}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{144}\! \left(x \right)
F_{143}\! \left(x \right) = F_{2}\! \left(x \right) F_{23}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{15}\! \left(x \right)
F_{146}\! \left(x \right) = F_{108}\! \left(x \right)+F_{2}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right) F_{15}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)+F_{151}\! \left(x \right)
F_{150}\! \left(x \right) = F_{23}\! \left(x \right) F_{91}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right) F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)+F_{154}\! \left(x \right)
F_{153}\! \left(x \right) = -F_{15}\! \left(x \right)+F_{70}\! \left(x \right)
F_{154}\! \left(x \right) = F_{111}\! \left(x \right)+F_{91}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{159}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{36}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{15}\! \left(x \right) F_{38}\! \left(x \right) F_{50}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{162}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{15}\! \left(x \right) F_{36}\! \left(x \right) F_{4}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{15}\! \left(x \right) F_{38}\! \left(x \right) F_{90}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)+F_{17}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{167}\! \left(x \right)
F_{166}\! \left(x \right) = F_{11}\! \left(x \right) F_{6}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{170}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)
F_{169}\! \left(x \right) = F_{145}\! \left(x \right) F_{15}\! \left(x \right) F_{8}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{15}\! \left(x \right) F_{152}\! \left(x \right) F_{8}\! \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_15(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_15(x)*F_8(x))
Eq(F_8(x), F_164(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_17(x))
Eq(F_10(x), F_11(x) + F_12(x))
Eq(F_11(x), x**2*(F_11(x) + 1)**3 - x*(x - 1)*(F_11(x) + 1)**2)
Eq(F_12(x), F_13(x) - F_16(x))
Eq(F_13(x), F_14(x)/F_15(x))
Eq(F_14(x), F_2(x))
Eq(F_15(x), x)
Eq(F_16(x), x**2*F_16(x)**3 - x*(x - 1)*F_16(x)**2 + 1)
Eq(F_17(x), F_18(x) + F_19(x))
Eq(F_18(x), F_11(x)*F_2(x))
Eq(F_19(x), F_20(x) + F_36(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_15(x)*F_22(x))
Eq(F_22(x), F_23(x) + F_35(x))
Eq(F_23(x), F_24(x) + F_25(x))
Eq(F_24(x), F_0(x)*F_2(x))
Eq(F_25(x), F_26(x) + F_27(x))
Eq(F_26(x), F_2(x)**2)
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_15(x)*F_29(x))
Eq(F_29(x), F_30(x) + F_33(x))
Eq(F_30(x), F_20(x) + F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_11(x)*F_2(x)**2)
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_12(x)*F_2(x)**2)
Eq(F_35(x), F_2(x)*F_4(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_15(x)*F_38(x))
Eq(F_38(x), F_136(x) + F_39(x))
Eq(F_39(x), F_19(x) + F_40(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_2(x)*F_42(x))
Eq(F_42(x), F_43(x) + F_44(x))
Eq(F_43(x), F_11(x)*F_2(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_15(x)*F_46(x)*F_90(x))
Eq(F_46(x), F_16(x) + F_47(x))
Eq(F_47(x), F_11(x) + F_48(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_15(x)*F_46(x)*F_50(x))
Eq(F_50(x), F_51(x)/(F_15(x)*F_4(x)))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_15(x)*F_54(x))
Eq(F_54(x), F_55(x) + F_56(x))
Eq(F_55(x), F_15(x)*F_16(x))
Eq(F_56(x), F_57(x) + F_86(x))
Eq(F_57(x), F_58(x) + F_59(x))
Eq(F_58(x), F_16(x)*F_2(x))
Eq(F_59(x), F_52(x) + F_60(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_15(x)*F_62(x))
Eq(F_62(x), F_63(x) + F_85(x))
Eq(F_63(x), F_2(x)*F_64(x))
Eq(F_64(x), F_65(x) - F_81(x))
Eq(F_65(x), F_66(x)/F_15(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_15(x)*F_69(x))
Eq(F_69(x), F_70(x) + F_71(x))
Eq(F_70(x), -F_11(x) + F_50(x))
Eq(F_71(x), F_72(x) + F_74(x))
Eq(F_72(x), F_11(x)*F_73(x))
Eq(F_73(x), F_16(x) + F_70(x))
Eq(F_74(x), F_67(x) + F_75(x))
Eq(F_75(x), F_76(x) - F_80(x))
Eq(F_76(x), F_77(x) - F_79(x))
Eq(F_77(x), F_78(x)/F_15(x))
Eq(F_78(x), F_48(x))
Eq(F_79(x), F_48(x) + F_50(x))
Eq(F_80(x), F_11(x)*F_50(x))
Eq(F_81(x), F_11(x)*F_82(x))
Eq(F_82(x), F_64(x) + F_83(x))
Eq(F_83(x), F_16(x) + F_84(x))
Eq(F_84(x), F_11(x) + F_67(x))
Eq(F_85(x), F_52(x)*F_82(x))
Eq(F_86(x), F_16(x)*F_87(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), F_15(x)*F_89(x))
Eq(F_89(x), F_2(x) + F_5(x))
Eq(F_90(x), F_107(x) + F_91(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_15(x)*F_93(x))
Eq(F_93(x), F_94(x) + F_96(x))
Eq(F_94(x), F_42(x) + F_95(x))
Eq(F_95(x), F_2(x) + F_91(x))
Eq(F_96(x), F_97(x) + F_99(x))
Eq(F_97(x), F_2(x)*F_98(x))
Eq(F_98(x), F_16(x) + F_95(x))
Eq(F_99(x), F_100(x) + F_103(x))
Eq(F_100(x), F_101(x) + F_91(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_15(x)*F_50(x)*F_93(x))
Eq(F_103(x), F_104(x) + F_105(x))
Eq(F_104(x), F_2(x)*F_91(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_15(x)*F_90(x)*F_93(x))
Eq(F_107(x), F_108(x) + F_111(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x)*F_15(x))
Eq(F_110(x), F_2(x) + F_24(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_113(x)*F_15(x))
Eq(F_113(x), F_114(x) + F_134(x))
Eq(F_114(x), F_115(x) + F_133(x))
Eq(F_115(x), F_116(x) - F_132(x))
Eq(F_116(x), F_117(x) - F_126(x))
Eq(F_117(x), F_118(x)/F_15(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_120(x) - F_91(x))
Eq(F_120(x), F_121(x) - F_95(x))
Eq(F_121(x), F_122(x) - F_124(x))
Eq(F_122(x), F_123(x)/F_15(x))
Eq(F_123(x), F_91(x))
Eq(F_124(x), F_125(x)*F_2(x))
Eq(F_125(x), F_121(x) + F_83(x))
Eq(F_126(x), F_127(x) + F_129(x))
Eq(F_127(x), F_128(x)*F_2(x))
Eq(F_128(x), F_115(x) + F_64(x))
Eq(F_129(x), F_130(x)*F_91(x))
Eq(F_130(x), F_131(x) + F_82(x))
Eq(F_131(x), F_115(x) + F_121(x))
Eq(F_132(x), F_11(x)*F_131(x))
Eq(F_133(x), F_121(x)*F_15(x))
Eq(F_134(x), F_127(x) + F_135(x))
Eq(F_135(x), F_108(x)*F_125(x))
Eq(F_136(x), F_137(x) + F_155(x))
Eq(F_137(x), F_138(x) + F_139(x))
Eq(F_138(x), F_16(x)*F_20(x))
Eq(F_139(x), F_140(x) + F_147(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_142(x)*F_15(x))
Eq(F_142(x), F_143(x) + F_144(x))
Eq(F_143(x), F_2(x)*F_23(x))
Eq(F_144(x), F_145(x)*F_2(x)*F_4(x))
Eq(F_145(x), F_146(x) + F_15(x))
Eq(F_146(x), F_108(x) + F_2(x))
Eq(F_147(x), F_148(x))
Eq(F_148(x), F_149(x)*F_15(x))
Eq(F_149(x), F_150(x) + F_151(x))
Eq(F_150(x), F_23(x)*F_91(x))
Eq(F_151(x), F_152(x)*F_2(x)*F_4(x))
Eq(F_152(x), F_153(x) + F_154(x))
Eq(F_153(x), -F_15(x) + F_70(x))
Eq(F_154(x), F_111(x) + F_91(x))
Eq(F_155(x), F_156(x) + F_159(x))
Eq(F_156(x), F_157(x) + F_36(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_15(x)*F_38(x)*F_50(x))
Eq(F_159(x), F_160(x) + F_162(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_15(x)*F_36(x)*F_4(x))
Eq(F_162(x), F_163(x))
Eq(F_163(x), F_15(x)*F_38(x)*F_90(x))
Eq(F_164(x), F_165(x) + F_17(x))
Eq(F_165(x), F_166(x) + F_167(x))
Eq(F_166(x), F_11(x)*F_6(x))
Eq(F_167(x), F_168(x) + F_170(x))
Eq(F_168(x), F_169(x))
Eq(F_169(x), F_145(x)*F_15(x)*F_8(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_15(x)*F_152(x)*F_8(x))
Pack JSON:
{"name": "insertion_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": "CellInsertionFactory", "ignore_parent": true, "maxreqlen": 1, "extra_basis": [], "one_cell_only": 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_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}], [{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "FusableRowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": null}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 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": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 2], [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, 2], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[1, 2], [1, 0], [1, 2], [1, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "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": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 1]], [[1, 0], [1, 2]]]}}, "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], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "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": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": 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"indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": false}}, "idx": 0}]}, {"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": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 1, 0], "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, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [2, 0, 3, 4, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 2, 0, 4, 1]], "symmetry": true}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 1, 0], "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, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [2, 0, 3, 4, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 2, 0, 4, 1]], "symmetry": true}}]}
Specification 3
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/24690/
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[11,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[11,x]*F[7,x]
F[7,x] = F[17,x]+F[8,x]
F[8,x] = F[12,x]+F[9,x]
F[9,x] = 1/F[11,x]*F[10,x]
F[10,x] = F[2,x]
F[11,x] = x
F[12,x] = -F[180,x]+F[13,x]
F[13,x] = F[14,x]
F[14,x] = F[11,x]*F[15,x]
F[15,x] = 1/F[11,x]*F[16,x]
F[16,x] = F[17,x]
F[17,x] = F[178,x]+F[18,x]
F[18,x] = F[19,x]+F[20,x]
F[19,x] = F[0,x]*F[2,x]
F[20,x] = F[21,x]
F[21,x] = F[11,x]*F[22,x]
F[22,x] = F[138,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[11,x]*F[25,x]
F[25,x] = F[133,x]+F[26,x]
F[26,x] = F[0,x]*F[27,x]
F[27,x] = -F[120,x]+F[28,x]
F[28,x] = -F[100,x]+F[29,x]
F[29,x] = 1/F[0,x]/F[11,x]*F[30,x]
F[30,x] = F[31,x]
F[31,x] = -F[94,x]+F[32,x]
F[32,x] = -F[85,x]+F[33,x]
F[33,x] = 1/F[11,x]*F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[11,x]*F[36,x]*F[4,x]
F[36,x] = F[37,x]+F[85,x]
F[37,x] = F[0,x]+F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[0,x]*F[11,x]*F[40,x]
F[40,x] = F[37,x]+F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[11,x]*F[37,x]*F[43,x]
F[43,x] = 1/F[11,x]/F[12,x]*F[44,x]
F[44,x] = F[45,x]
F[45,x] = F[46,x]
F[46,x] = F[11,x]*F[47,x]
F[47,x] = F[48,x]+F[84,x]
F[48,x] = -F[80,x]+F[49,x]
F[49,x] = F[50,x]+F[51,x]
F[50,x] = F[37,x]*F[8,x]
F[51,x] = F[52,x]
F[52,x] = F[11,x]*F[36,x]*F[53,x]
F[53,x] = F[49,x]+F[54,x]
F[54,x] = F[55,x]+F[84,x]
F[55,x] = -F[80,x]+F[56,x]
F[56,x] = 1/F[11,x]*F[57,x]
F[57,x] = F[58,x]
F[58,x] = -F[64,x]+F[59,x]
F[59,x] = 1/F[11,x]*F[60,x]
F[60,x] = F[61,x]
F[61,x] = -F[2,x]+F[62,x]
F[62,x] = -F[63,x]+F[9,x]
F[63,x] = 1+x^2*F[63,x]^3+(-x^2+x)*F[63,x]^2
F[64,x] = -F[67,x]+F[65,x]
F[65,x] = 1/F[11,x]*F[66,x]
F[66,x] = F[62,x]
F[67,x] = F[68,x]+F[78,x]
F[68,x] = 1/F[0,x]*F[69,x]
F[69,x] = -F[74,x]+F[70,x]
F[70,x] = 1/F[11,x]*F[71,x]
F[71,x] = F[72,x]
F[72,x] = F[61,x]+F[73,x]
F[73,x] = x*(1+F[73,x])^2*(x*F[73,x]+1)
F[74,x] = -F[77,x]+F[75,x]
F[75,x] = 1/F[11,x]*F[76,x]
F[76,x] = F[61,x]
F[77,x] = F[2,x]*F[68,x]
F[78,x] = -F[79,x]+F[75,x]
F[79,x] = F[12,x]+F[45,x]
F[80,x] = F[81,x]+F[82,x]
F[81,x] = F[37,x]*F[9,x]
F[82,x] = F[83,x]
F[83,x] = F[11,x]*F[36,x]*F[56,x]
F[84,x] = F[12,x]*F[85,x]
F[85,x] = F[86,x]+F[88,x]
F[86,x] = F[87,x]
F[87,x] = F[0,x]^2*F[11,x]
F[88,x] = F[89,x]
F[89,x] = F[11,x]*F[90,x]
F[90,x] = F[91,x]+F[93,x]
F[91,x] = F[0,x]*F[92,x]
F[92,x] = -F[40,x]+F[43,x]
F[93,x] = F[40,x]*F[86,x]
F[94,x] = F[0,x]*F[95,x]
F[95,x] = F[63,x]+F[96,x]
F[96,x] = F[97,x]
F[97,x] = F[11,x]*F[98,x]
F[98,x] = 1/F[11,x]*F[99,x]
F[99,x] = F[62,x]
F[100,x] = F[101,x]*F[37,x]
F[101,x] = F[102,x]
F[102,x] = F[103,x]*F[11,x]
F[103,x] = F[104,x]+F[4,x]
F[104,x] = -F[108,x]+F[105,x]
F[105,x] = 1/F[11,x]*F[106,x]
F[106,x] = F[107,x]
F[107,x] = -F[2,x]+F[96,x]
F[108,x] = F[109,x]
F[109,x] = F[103,x]*F[11,x]*F[110,x]
F[110,x] = 1/F[11,x]/F[95,x]*F[111,x]
F[111,x] = F[112,x]
F[112,x] = -F[115,x]+F[113,x]
F[113,x] = 1/F[11,x]*F[114,x]
F[114,x] = F[61,x]
F[115,x] = -F[116,x]+F[98,x]
F[116,x] = F[117,x]+F[68,x]
F[117,x] = F[118,x]+F[96,x]
F[118,x] = F[119,x]
F[119,x] = F[11,x]*F[110,x]*F[96,x]
F[120,x] = F[121,x]*F[37,x]
F[121,x] = F[122,x]
F[122,x] = F[11,x]*F[123,x]
F[123,x] = F[124,x]+F[95,x]
F[124,x] = F[125,x]
F[125,x] = F[11,x]*F[126,x]
F[126,x] = F[127,x]+F[132,x]
F[127,x] = F[128,x]+F[131,x]
F[128,x] = F[123,x]+F[129,x]
F[129,x] = F[130,x]
F[130,x] = F[11,x]*F[110,x]*F[123,x]
F[131,x] = F[121,x]*F[63,x]
F[132,x] = F[101,x]*F[63,x]
F[133,x] = -F[137,x]+F[134,x]
F[134,x] = 1/F[11,x]*F[135,x]
F[135,x] = F[136,x]
F[136,x] = -F[38,x]+F[58,x]
F[137,x] = F[43,x]*F[72,x]
F[138,x] = -F[174,x]+F[139,x]
F[139,x] = F[140,x]+F[172,x]
F[140,x] = F[141,x]+F[150,x]
F[141,x] = F[142,x]
F[142,x] = F[143,x]+F[148,x]
F[143,x] = F[144,x]+F[2,x]
F[144,x] = -F[2,x]+F[145,x]
F[145,x] = -F[0,x]+F[146,x]
F[146,x] = 1/F[11,x]*F[147,x]
F[147,x] = F[2,x]
F[148,x] = F[149,x]
F[149,x] = F[11,x]*F[143,x]*F[4,x]
F[150,x] = F[151,x]
F[151,x] = F[11,x]*F[152,x]
F[152,x] = F[153,x]+F[155,x]
F[153,x] = F[0,x]*F[154,x]*F[4,x]
F[154,x] = F[143,x]
F[155,x] = F[156,x]
F[156,x] = F[11,x]*F[157,x]
F[157,x] = F[158,x]+F[171,x]
F[158,x] = F[159,x]
F[159,x] = F[11,x]*F[160,x]
F[160,x] = F[161,x]+F[169,x]
F[161,x] = F[0,x]+F[162,x]
F[162,x] = F[163,x]+F[2,x]
F[163,x] = F[164,x]
F[164,x] = F[11,x]*F[165,x]
F[165,x] = F[166,x]+F[167,x]
F[166,x] = F[146,x]*F[2,x]
F[167,x] = F[158,x]+F[168,x]
F[168,x] = F[145,x]*F[86,x]
F[169,x] = F[170,x]
F[170,x] = F[0,x]^2*F[2,x]
F[171,x] = F[5,x]*F[86,x]
F[172,x] = F[173,x]
F[173,x] = F[11,x]*F[140,x]*F[40,x]
F[174,x] = F[175,x]
F[175,x] = F[0,x]*F[11,x]*F[176,x]*F[37,x]
F[176,x] = 1/F[11,x]*F[177,x]
F[177,x] = F[144,x]
F[178,x] = F[179,x]
F[179,x] = F[11,x]*F[176,x]*F[36,x]
F[180,x] = F[181,x]
F[181,x] = F[11,x]*F[182,x]*F[36,x]
F[182,x] = 1/F[11,x]*F[183,x]
F[183,x] = F[184,x]
F[184,x] = -F[2,x]+F[5,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_{11}\! \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_{6}\! \left(x \right) = F_{11}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{17}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{12}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = \frac{F_{10}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{10}\! \left(x \right) = F_{2}\! \left(x \right)
F_{11}\! \left(x \right) = x
F_{12}\! \left(x \right) = -F_{180}\! \left(x \right)+F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{11}\! \left(x \right) F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = \frac{F_{16}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{178}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{20}\! \left(x \right)
F_{19}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{11}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{138}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{11}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{133}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{0}\! \left(x \right) F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = -F_{120}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = -F_{100}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{0}\! \left(x \right) F_{11}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{94}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = -F_{85}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = \frac{F_{34}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{11}\! \left(x \right) F_{36}\! \left(x \right) F_{4}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{85}\! \left(x \right)
F_{37}\! \left(x \right) = F_{0}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{37}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{11}\! \left(x \right) F_{37}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = \frac{F_{44}\! \left(x \right)}{F_{11}\! \left(x \right) F_{12}\! \left(x \right)}
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{11}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{84}\! \left(x \right)
F_{48}\! \left(x \right) = -F_{80}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)+F_{51}\! \left(x \right)
F_{50}\! \left(x \right) = F_{37}\! \left(x \right) F_{8}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{11}\! \left(x \right) F_{36}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{49}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{84}\! \left(x \right)
F_{55}\! \left(x \right) = -F_{80}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = -F_{64}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = \frac{F_{60}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = -F_{63}\! \left(x \right)+F_{9}\! \left(x \right)
F_{63}\! \left(x \right) = x^{2} F_{63} \left(x \right)^{3}-x^{2} F_{63} \left(x \right)^{2}+x F_{63} \left(x \right)^{2}+1
F_{64}\! \left(x \right) = -F_{67}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = \frac{F_{66}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{66}\! \left(x \right) = F_{62}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{78}\! \left(x \right)
F_{68}\! \left(x \right) = \frac{F_{69}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{69}\! \left(x \right) = -F_{74}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = \frac{F_{71}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{61}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = x^{2} F_{73} \left(x \right)^{3}+2 x^{2} F_{73} \left(x \right)^{2}+x^{2} F_{73}\! \left(x \right)+x F_{73} \left(x \right)^{2}+2 x F_{73}\! \left(x \right)+x
F_{74}\! \left(x \right) = -F_{77}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = \frac{F_{76}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{76}\! \left(x \right) = F_{61}\! \left(x \right)
F_{77}\! \left(x \right) = F_{2}\! \left(x \right) F_{68}\! \left(x \right)
F_{78}\! \left(x \right) = -F_{79}\! \left(x \right)+F_{75}\! \left(x \right)
F_{79}\! \left(x \right) = F_{12}\! \left(x \right)+F_{45}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)+F_{82}\! \left(x \right)
F_{81}\! \left(x \right) = F_{37}\! \left(x \right) F_{9}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{11}\! \left(x \right) F_{36}\! \left(x \right) F_{56}\! \left(x \right)
F_{84}\! \left(x \right) = F_{12}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)+F_{88}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{11}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{11}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{93}\! \left(x \right)
F_{91}\! \left(x \right) = F_{0}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = -F_{40}\! \left(x \right)+F_{43}\! \left(x \right)
F_{93}\! \left(x \right) = F_{40}\! \left(x \right) F_{86}\! \left(x \right)
F_{94}\! \left(x \right) = F_{0}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{63}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{11}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = \frac{F_{99}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{99}\! \left(x \right) = F_{62}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{37}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{11}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{4}\! \left(x \right)
F_{104}\! \left(x \right) = -F_{108}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = \frac{F_{106}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{96}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{103}\! \left(x \right) F_{11}\! \left(x \right) F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = \frac{F_{111}\! \left(x \right)}{F_{11}\! \left(x \right) F_{95}\! \left(x \right)}
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = -F_{115}\! \left(x \right)+F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = \frac{F_{114}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{114}\! \left(x \right) = F_{61}\! \left(x \right)
F_{115}\! \left(x \right) = -F_{116}\! \left(x \right)+F_{98}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)+F_{68}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{96}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{11}\! \left(x \right) F_{110}\! \left(x \right) F_{96}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{37}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{11}\! \left(x \right) F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{95}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{11}\! \left(x \right) F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{132}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{131}\! \left(x \right)
F_{128}\! \left(x \right) = F_{123}\! \left(x \right)+F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{11}\! \left(x \right) F_{110}\! \left(x \right) F_{123}\! \left(x \right)
F_{131}\! \left(x \right) = F_{121}\! \left(x \right) F_{63}\! \left(x \right)
F_{132}\! \left(x \right) = F_{101}\! \left(x \right) F_{63}\! \left(x \right)
F_{133}\! \left(x \right) = -F_{137}\! \left(x \right)+F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = \frac{F_{135}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = -F_{38}\! \left(x \right)+F_{58}\! \left(x \right)
F_{137}\! \left(x \right) = F_{43}\! \left(x \right) F_{72}\! \left(x \right)
F_{138}\! \left(x \right) = -F_{174}\! \left(x \right)+F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{172}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)+F_{150}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{148}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)+F_{2}\! \left(x \right)
F_{144}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = \frac{F_{147}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{147}\! \left(x \right) = F_{2}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{11}\! \left(x \right) F_{143}\! \left(x \right) F_{4}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{11}\! \left(x \right) F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)+F_{155}\! \left(x \right)
F_{153}\! \left(x \right) = F_{0}\! \left(x \right) F_{154}\! \left(x \right) F_{4}\! \left(x \right)
F_{154}\! \left(x \right) = F_{143}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{11}\! \left(x \right) F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)+F_{171}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{11}\! \left(x \right) F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)+F_{169}\! \left(x \right)
F_{161}\! \left(x \right) = F_{0}\! \left(x \right)+F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{2}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{11}\! \left(x \right) F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{167}\! \left(x \right)
F_{166}\! \left(x \right) = F_{146}\! \left(x \right) F_{2}\! \left(x \right)
F_{167}\! \left(x \right) = F_{158}\! \left(x \right)+F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{145}\! \left(x \right) F_{86}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{2}\! \left(x \right)
F_{171}\! \left(x \right) = F_{5}\! \left(x \right) F_{86}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{11}\! \left(x \right) F_{140}\! \left(x \right) F_{40}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{176}\! \left(x \right) F_{37}\! \left(x \right)
F_{176}\! \left(x \right) = \frac{F_{177}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{177}\! \left(x \right) = F_{144}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{11}\! \left(x \right) F_{176}\! \left(x \right) F_{36}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{11}\! \left(x \right) F_{182}\! \left(x \right) F_{36}\! \left(x \right)
F_{182}\! \left(x \right) = \frac{F_{183}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{5}\! \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_11(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_11(x)*F_7(x))
Eq(F_7(x), F_17(x) + F_8(x))
Eq(F_8(x), F_12(x) + F_9(x))
Eq(F_9(x), F_10(x)/F_11(x))
Eq(F_10(x), F_2(x))
Eq(F_11(x), x)
Eq(F_12(x), F_13(x) - F_180(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_11(x)*F_15(x))
Eq(F_15(x), F_16(x)/F_11(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_178(x) + F_18(x))
Eq(F_18(x), F_19(x) + F_20(x))
Eq(F_19(x), F_0(x)*F_2(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_11(x)*F_22(x))
Eq(F_22(x), F_138(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_11(x)*F_25(x))
Eq(F_25(x), F_133(x) + F_26(x))
Eq(F_26(x), F_0(x)*F_27(x))
Eq(F_27(x), -F_120(x) + F_28(x))
Eq(F_28(x), -F_100(x) + F_29(x))
Eq(F_29(x), F_30(x)/(F_0(x)*F_11(x)))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x) - F_94(x))
Eq(F_32(x), F_33(x) - F_85(x))
Eq(F_33(x), F_34(x)/F_11(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_11(x)*F_36(x)*F_4(x))
Eq(F_36(x), F_37(x) + F_85(x))
Eq(F_37(x), F_0(x) + F_38(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_0(x)*F_11(x)*F_40(x))
Eq(F_40(x), F_37(x) + F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_11(x)*F_37(x)*F_43(x))
Eq(F_43(x), F_44(x)/(F_11(x)*F_12(x)))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_11(x)*F_47(x))
Eq(F_47(x), F_48(x) + F_84(x))
Eq(F_48(x), F_49(x) - F_80(x))
Eq(F_49(x), F_50(x) + F_51(x))
Eq(F_50(x), F_37(x)*F_8(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_11(x)*F_36(x)*F_53(x))
Eq(F_53(x), F_49(x) + F_54(x))
Eq(F_54(x), F_55(x) + F_84(x))
Eq(F_55(x), F_56(x) - F_80(x))
Eq(F_56(x), F_57(x)/F_11(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_59(x) - F_64(x))
Eq(F_59(x), F_60(x)/F_11(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), -F_2(x) + F_62(x))
Eq(F_62(x), -F_63(x) + F_9(x))
Eq(F_63(x), x**2*F_63(x)**3 - x*(x - 1)*F_63(x)**2 + 1)
Eq(F_64(x), F_65(x) - F_67(x))
Eq(F_65(x), F_66(x)/F_11(x))
Eq(F_66(x), F_62(x))
Eq(F_67(x), F_68(x) + F_78(x))
Eq(F_68(x), F_69(x)/F_0(x))
Eq(F_69(x), F_70(x) - F_74(x))
Eq(F_70(x), F_71(x)/F_11(x))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_61(x) + F_73(x))
Eq(F_73(x), x**2*(F_73(x) + 1)**3 - x*(x - 1)*(F_73(x) + 1)**2)
Eq(F_74(x), F_75(x) - F_77(x))
Eq(F_75(x), F_76(x)/F_11(x))
Eq(F_76(x), F_61(x))
Eq(F_77(x), F_2(x)*F_68(x))
Eq(F_78(x), F_75(x) - F_79(x))
Eq(F_79(x), F_12(x) + F_45(x))
Eq(F_80(x), F_81(x) + F_82(x))
Eq(F_81(x), F_37(x)*F_9(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_11(x)*F_36(x)*F_56(x))
Eq(F_84(x), F_12(x)*F_85(x))
Eq(F_85(x), F_86(x) + F_88(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_0(x)**2*F_11(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_11(x)*F_90(x))
Eq(F_90(x), F_91(x) + F_93(x))
Eq(F_91(x), F_0(x)*F_92(x))
Eq(F_92(x), -F_40(x) + F_43(x))
Eq(F_93(x), F_40(x)*F_86(x))
Eq(F_94(x), F_0(x)*F_95(x))
Eq(F_95(x), F_63(x) + F_96(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_11(x)*F_98(x))
Eq(F_98(x), F_99(x)/F_11(x))
Eq(F_99(x), F_62(x))
Eq(F_100(x), F_101(x)*F_37(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_103(x)*F_11(x))
Eq(F_103(x), F_104(x) + F_4(x))
Eq(F_104(x), F_105(x) - F_108(x))
Eq(F_105(x), F_106(x)/F_11(x))
Eq(F_106(x), F_107(x))
Eq(F_107(x), -F_2(x) + F_96(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_103(x)*F_11(x)*F_110(x))
Eq(F_110(x), F_111(x)/(F_11(x)*F_95(x)))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_113(x) - F_115(x))
Eq(F_113(x), F_114(x)/F_11(x))
Eq(F_114(x), F_61(x))
Eq(F_115(x), -F_116(x) + F_98(x))
Eq(F_116(x), F_117(x) + F_68(x))
Eq(F_117(x), F_118(x) + F_96(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_11(x)*F_110(x)*F_96(x))
Eq(F_120(x), F_121(x)*F_37(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_11(x)*F_123(x))
Eq(F_123(x), F_124(x) + F_95(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_11(x)*F_126(x))
Eq(F_126(x), F_127(x) + F_132(x))
Eq(F_127(x), F_128(x) + F_131(x))
Eq(F_128(x), F_123(x) + F_129(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_11(x)*F_110(x)*F_123(x))
Eq(F_131(x), F_121(x)*F_63(x))
Eq(F_132(x), F_101(x)*F_63(x))
Eq(F_133(x), F_134(x) - F_137(x))
Eq(F_134(x), F_135(x)/F_11(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), -F_38(x) + F_58(x))
Eq(F_137(x), F_43(x)*F_72(x))
Eq(F_138(x), F_139(x) - F_174(x))
Eq(F_139(x), F_140(x) + F_172(x))
Eq(F_140(x), F_141(x) + F_150(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_143(x) + F_148(x))
Eq(F_143(x), F_144(x) + F_2(x))
Eq(F_144(x), F_145(x) - F_2(x))
Eq(F_145(x), -F_0(x) + F_146(x))
Eq(F_146(x), F_147(x)/F_11(x))
Eq(F_147(x), F_2(x))
Eq(F_148(x), F_149(x))
Eq(F_149(x), F_11(x)*F_143(x)*F_4(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_11(x)*F_152(x))
Eq(F_152(x), F_153(x) + F_155(x))
Eq(F_153(x), F_0(x)*F_154(x)*F_4(x))
Eq(F_154(x), F_143(x))
Eq(F_155(x), F_156(x))
Eq(F_156(x), F_11(x)*F_157(x))
Eq(F_157(x), F_158(x) + F_171(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_11(x)*F_160(x))
Eq(F_160(x), F_161(x) + F_169(x))
Eq(F_161(x), F_0(x) + F_162(x))
Eq(F_162(x), F_163(x) + F_2(x))
Eq(F_163(x), F_164(x))
Eq(F_164(x), F_11(x)*F_165(x))
Eq(F_165(x), F_166(x) + F_167(x))
Eq(F_166(x), F_146(x)*F_2(x))
Eq(F_167(x), F_158(x) + F_168(x))
Eq(F_168(x), F_145(x)*F_86(x))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_0(x)**2*F_2(x))
Eq(F_171(x), F_5(x)*F_86(x))
Eq(F_172(x), F_173(x))
Eq(F_173(x), F_11(x)*F_140(x)*F_40(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_0(x)*F_11(x)*F_176(x)*F_37(x))
Eq(F_176(x), F_177(x)/F_11(x))
Eq(F_177(x), F_144(x))
Eq(F_178(x), F_179(x))
Eq(F_179(x), F_11(x)*F_176(x)*F_36(x))
Eq(F_180(x), F_181(x))
Eq(F_181(x), F_11(x)*F_182(x)*F_36(x))
Eq(F_182(x), F_183(x)/F_11(x))
Eq(F_183(x), F_184(x))
Eq(F_184(x), -F_2(x) + F_5(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [2, 0, 3, 4, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 2, 0, 4, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [2, 0, 3, 4, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 2, 0, 4, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 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": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 2], [0, 2], [0, 0], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 1, 0, 3], "pos": [[0, 2], [0, 2], [0, 0], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 4, 1], "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, 2], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 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0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[2, 1]]}], [{"patt": [0], "pos": [[1, 3]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 2]]}], "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, 2]]}, {"patt": [0], "pos": [[0, 3]]}, {"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0], "pos": [[2, 3]]}, {"patt": [0, 1], "pos": [[0, 0], [2, 0]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [2, 1]]}, {"patt": [0, 1], "pos": [[1, 3], [1, 3]]}, {"patt": [0, 1], "pos": [[2, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[1, 3], [1, 3]]}, {"patt": [1, 0], "pos": [[2, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[2, 4], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 1], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 2], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 4], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[2, 2], [2, 2], [2, 1]]}, {"patt": [1, 2, 0], "pos": [[2, 2], [2, 4], [2, 2]]}, {"patt": [1, 2, 0], "pos": [[2, 4], [2, 4], [2, 2]]}, {"patt": [2, 0, 1], "pos": [[2, 4], [2, 2], [2, 2]]}, {"patt": [2, 1, 0], "pos": [[2, 4], [2, 2], [2, 2]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [2, 3, 0, 1], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [2, 3, 0, 1], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [2, 3, 1, 0], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [2, 3, 1, 0], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[2, 1]]}], [{"patt": [0], "pos": [[1, 3]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[0, 5]]}, {"patt": [0], "pos": [[0, 6]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0], "pos": [[1, 6]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 3]]}, {"patt": [0], "pos": [[2, 5]]}, {"patt": [0, 1], "pos": [[0, 3], [0, 3]]}, {"patt": [0, 1], "pos": [[1, 5], [1, 5]]}, {"patt": [0, 1], "pos": [[2, 2], [2, 2]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 3]]}, {"patt": [1, 0], "pos": [[0, 3], [2, 2]]}, {"patt": [1, 0], "pos": [[1, 5], [1, 5]]}, {"patt": [1, 0], "pos": [[2, 2], [2, 2]]}, {"patt": [1, 0], "pos": [[2, 6], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 3], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 2], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 4], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 6], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[2, 4], [2, 4], [2, 2]]}, {"patt": [1, 2, 0], "pos": [[2, 4], [2, 6], [2, 4]]}, {"patt": [1, 2, 0], "pos": [[2, 6], [2, 6], [2, 4]]}, {"patt": [2, 0, 1], "pos": [[2, 6], [2, 4], [2, 4]]}, {"patt": [2, 1, 0], "pos": [[2, 6], [2, 4], [2, 4]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 6], [2, 6], [2, 6], [2, 6]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 6], [2, 6], [2, 6], [2, 6]]}, {"patt": [2, 3, 0, 1], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [2, 3, 0, 1], "pos": [[2, 6], [2, 6], [2, 6], [2, 6]]}, {"patt": [2, 3, 1, 0], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [2, 3, 1, 0], "pos": [[2, 6], [2, 6], [2, 6], [2, 6]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 3]]}, {"patt": [0], "pos": [[2, 2]]}], [{"patt": [0], "pos": [[1, 5]]}]], "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": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 1, 0], "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, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [2, 0, 3, 4, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 2, 0, 4, 1]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 1, 0], "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, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [2, 0, 3, 4, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 2, 0, 4, 1]], "symmetry": false}}]}
Specification 4
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25874/
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[11,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[11,x]*F[7,x]
F[7,x] = F[17,x]+F[8,x]
F[8,x] = F[12,x]+F[9,x]
F[9,x] = 1/F[11,x]*F[10,x]
F[10,x] = F[2,x]
F[11,x] = x
F[12,x] = -F[192,x]+F[13,x]
F[13,x] = F[14,x]
F[14,x] = F[11,x]*F[15,x]
F[15,x] = 1/F[11,x]*F[16,x]
F[16,x] = F[17,x]
F[17,x] = F[18,x]+F[188,x]
F[18,x] = F[19,x]+F[20,x]
F[19,x] = F[0,x]*F[2,x]
F[20,x] = F[21,x]
F[21,x] = F[11,x]*F[22,x]
F[22,x] = F[139,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[11,x]*F[25,x]
F[25,x] = F[134,x]+F[26,x]
F[26,x] = F[0,x]*F[27,x]
F[27,x] = -F[133,x]+F[28,x]
F[28,x] = -F[100,x]+F[29,x]
F[29,x] = 1/F[0,x]/F[11,x]*F[30,x]
F[30,x] = F[31,x]
F[31,x] = -F[93,x]+F[32,x]
F[32,x] = -F[84,x]+F[33,x]
F[33,x] = 1/F[11,x]*F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[11,x]*F[36,x]*F[4,x]
F[36,x] = F[37,x]+F[84,x]
F[37,x] = F[0,x]+F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[0,x]*F[11,x]*F[40,x]
F[40,x] = F[37,x]+F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[11,x]*F[37,x]*F[43,x]
F[43,x] = 1/F[11,x]/F[12,x]*F[44,x]
F[44,x] = F[45,x]
F[45,x] = F[46,x]
F[46,x] = F[11,x]*F[47,x]
F[47,x] = F[48,x]+F[83,x]
F[48,x] = -F[79,x]+F[49,x]
F[49,x] = F[50,x]+F[51,x]
F[50,x] = F[37,x]*F[8,x]
F[51,x] = F[52,x]
F[52,x] = F[11,x]*F[36,x]*F[53,x]
F[53,x] = F[49,x]+F[54,x]
F[54,x] = F[55,x]+F[83,x]
F[55,x] = -F[79,x]+F[56,x]
F[56,x] = 1/F[11,x]*F[57,x]
F[57,x] = F[58,x]
F[58,x] = -F[64,x]+F[59,x]
F[59,x] = 1/F[11,x]*F[60,x]
F[60,x] = F[61,x]
F[61,x] = -F[63,x]+F[62,x]
F[62,x] = -F[0,x]+F[9,x]
F[63,x] = x*(1+F[63,x])^2*(x*F[63,x]+1)
F[64,x] = -F[68,x]+F[65,x]
F[65,x] = 1/F[11,x]*F[66,x]
F[66,x] = F[67,x]
F[67,x] = F[2,x]+F[61,x]
F[68,x] = F[69,x]+F[77,x]
F[69,x] = 1/F[0,x]*F[70,x]
F[70,x] = -F[73,x]+F[71,x]
F[71,x] = 1/F[11,x]*F[72,x]
F[72,x] = F[62,x]
F[73,x] = -F[76,x]+F[74,x]
F[74,x] = 1/F[11,x]*F[75,x]
F[75,x] = F[61,x]
F[76,x] = F[2,x]*F[69,x]
F[77,x] = -F[78,x]+F[74,x]
F[78,x] = F[12,x]+F[45,x]
F[79,x] = F[80,x]+F[81,x]
F[80,x] = F[37,x]*F[9,x]
F[81,x] = F[82,x]
F[82,x] = F[11,x]*F[36,x]*F[56,x]
F[83,x] = F[12,x]*F[84,x]
F[84,x] = F[85,x]+F[87,x]
F[85,x] = F[86,x]
F[86,x] = F[0,x]^2*F[11,x]
F[87,x] = F[88,x]
F[88,x] = F[11,x]*F[89,x]
F[89,x] = F[90,x]+F[91,x]
F[90,x] = F[40,x]*F[85,x]
F[91,x] = F[0,x]*F[92,x]
F[92,x] = -F[40,x]+F[43,x]
F[93,x] = F[0,x]*F[94,x]
F[94,x] = F[95,x]+F[96,x]
F[95,x] = 1+x^2*F[95,x]^3+(-x^2+x)*F[95,x]^2
F[96,x] = F[97,x]
F[97,x] = F[11,x]*F[98,x]
F[98,x] = 1/F[11,x]*F[99,x]
F[99,x] = F[67,x]
F[100,x] = F[101,x]*F[37,x]
F[101,x] = F[102,x]
F[102,x] = F[103,x]*F[11,x]
F[103,x] = F[104,x]+F[94,x]
F[104,x] = F[105,x]
F[105,x] = F[106,x]*F[11,x]
F[106,x] = F[107,x]+F[132,x]
F[107,x] = F[108,x]+F[121,x]
F[108,x] = F[103,x]+F[109,x]
F[109,x] = F[110,x]
F[110,x] = F[103,x]*F[11,x]*F[111,x]
F[111,x] = 1/F[11,x]/F[94,x]*F[112,x]
F[112,x] = F[113,x]
F[113,x] = -F[116,x]+F[114,x]
F[114,x] = 1/F[11,x]*F[115,x]
F[115,x] = F[61,x]
F[116,x] = -F[117,x]+F[98,x]
F[117,x] = F[118,x]+F[69,x]
F[118,x] = F[119,x]+F[96,x]
F[119,x] = F[120,x]
F[120,x] = F[11,x]*F[111,x]*F[96,x]
F[121,x] = F[122,x]*F[95,x]
F[122,x] = F[123,x]
F[123,x] = F[11,x]*F[124,x]
F[124,x] = F[125,x]+F[4,x]
F[125,x] = -F[130,x]+F[126,x]
F[126,x] = 1/F[11,x]*F[127,x]
F[127,x] = F[128,x]
F[128,x] = -F[63,x]+F[129,x]
F[129,x] = -F[0,x]+F[94,x]
F[130,x] = F[131,x]
F[131,x] = F[11,x]*F[111,x]*F[124,x]
F[132,x] = F[101,x]*F[95,x]
F[133,x] = F[122,x]*F[37,x]
F[134,x] = -F[138,x]+F[135,x]
F[135,x] = 1/F[11,x]*F[136,x]
F[136,x] = F[137,x]
F[137,x] = -F[38,x]+F[58,x]
F[138,x] = F[43,x]*F[62,x]
F[139,x] = F[140,x]
F[140,x] = -F[178,x]+F[141,x]
F[141,x] = F[142,x]+F[176,x]
F[142,x] = F[143,x]+F[152,x]
F[143,x] = F[144,x]
F[144,x] = F[145,x]+F[148,x]
F[145,x] = -F[0,x]+F[146,x]
F[146,x] = 1/F[11,x]*F[147,x]
F[147,x] = F[2,x]
F[148,x] = F[149,x]
F[149,x] = F[11,x]*F[150,x]*F[2,x]
F[150,x] = 1/F[11,x]*F[151,x]
F[151,x] = F[145,x]
F[152,x] = F[153,x]
F[153,x] = F[11,x]*F[154,x]
F[154,x] = F[155,x]+F[157,x]
F[155,x] = F[0,x]*F[156,x]*F[4,x]
F[156,x] = F[151,x]
F[157,x] = F[158,x]
F[158,x] = F[11,x]*F[159,x]
F[159,x] = F[160,x]+F[175,x]
F[160,x] = F[161,x]
F[161,x] = F[11,x]*F[162,x]
F[162,x] = F[163,x]+F[173,x]
F[163,x] = F[0,x]+F[164,x]
F[164,x] = F[165,x]+F[2,x]
F[165,x] = F[166,x]
F[166,x] = F[11,x]*F[167,x]
F[167,x] = F[168,x]+F[169,x]
F[168,x] = F[146,x]*F[2,x]
F[169,x] = F[160,x]+F[170,x]
F[170,x] = F[171,x]*F[85,x]
F[171,x] = F[172,x]+F[2,x]
F[172,x] = -F[2,x]+F[145,x]
F[173,x] = F[174,x]
F[174,x] = F[0,x]^2*F[2,x]
F[175,x] = F[5,x]*F[85,x]
F[176,x] = F[177,x]
F[177,x] = F[11,x]*F[142,x]*F[40,x]
F[178,x] = F[179,x]
F[179,x] = F[0,x]*F[11,x]*F[180,x]*F[37,x]
F[180,x] = F[181,x]+F[186,x]
F[181,x] = F[182,x]
F[182,x] = F[0,x]*F[11,x]*F[183,x]
F[183,x] = F[184,x]+F[5,x]
F[184,x] = F[171,x]+F[185,x]
F[185,x] = F[0,x]+F[2,x]
F[186,x] = -F[187,x]+F[150,x]
F[187,x] = F[181,x]+F[4,x]
F[188,x] = F[189,x]
F[189,x] = F[11,x]*F[190,x]*F[36,x]
F[190,x] = 1/F[11,x]*F[191,x]
F[191,x] = F[172,x]
F[192,x] = F[193,x]
F[193,x] = F[11,x]*F[194,x]*F[36,x]
F[194,x] = 1/F[11,x]*F[195,x]
F[195,x] = F[196,x]
F[196,x] = -F[2,x]+F[197,x]
F[197,x] = F[198,x]
F[198,x] = F[11,x]*F[150,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_{11}\! \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_{6}\! \left(x \right) = F_{11}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{17}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{12}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = \frac{F_{10}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{10}\! \left(x \right) = F_{2}\! \left(x \right)
F_{11}\! \left(x \right) = x
F_{12}\! \left(x \right) = -F_{192}\! \left(x \right)+F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{11}\! \left(x \right) F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = \frac{F_{16}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{188}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{20}\! \left(x \right)
F_{19}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{11}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{139}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{11}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{134}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{0}\! \left(x \right) F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = -F_{133}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = -F_{100}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{0}\! \left(x \right) F_{11}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{93}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = -F_{84}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = \frac{F_{34}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{11}\! \left(x \right) F_{36}\! \left(x \right) F_{4}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{84}\! \left(x \right)
F_{37}\! \left(x \right) = F_{0}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{37}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{11}\! \left(x \right) F_{37}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = \frac{F_{44}\! \left(x \right)}{F_{11}\! \left(x \right) F_{12}\! \left(x \right)}
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{11}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{83}\! \left(x \right)
F_{48}\! \left(x \right) = -F_{79}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)+F_{51}\! \left(x \right)
F_{50}\! \left(x \right) = F_{37}\! \left(x \right) F_{8}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{11}\! \left(x \right) F_{36}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{49}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{83}\! \left(x \right)
F_{55}\! \left(x \right) = -F_{79}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = -F_{64}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = \frac{F_{60}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = -F_{63}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{9}\! \left(x \right)
F_{63}\! \left(x \right) = x^{2} F_{63} \left(x \right)^{3}+2 x^{2} F_{63} \left(x \right)^{2}+x^{2} F_{63}\! \left(x \right)+x F_{63} \left(x \right)^{2}+2 x F_{63}\! \left(x \right)+x
F_{64}\! \left(x \right) = -F_{68}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = \frac{F_{66}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{2}\! \left(x \right)+F_{61}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{77}\! \left(x \right)
F_{69}\! \left(x \right) = \frac{F_{70}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{70}\! \left(x \right) = -F_{73}\! \left(x \right)+F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = \frac{F_{72}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{72}\! \left(x \right) = F_{62}\! \left(x \right)
F_{73}\! \left(x \right) = -F_{76}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = \frac{F_{75}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{75}\! \left(x \right) = F_{61}\! \left(x \right)
F_{76}\! \left(x \right) = F_{2}\! \left(x \right) F_{69}\! \left(x \right)
F_{77}\! \left(x \right) = -F_{78}\! \left(x \right)+F_{74}\! \left(x \right)
F_{78}\! \left(x \right) = F_{12}\! \left(x \right)+F_{45}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)+F_{81}\! \left(x \right)
F_{80}\! \left(x \right) = F_{37}\! \left(x \right) F_{9}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{11}\! \left(x \right) F_{36}\! \left(x \right) F_{56}\! \left(x \right)
F_{83}\! \left(x \right) = F_{12}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{87}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{11}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{11}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)+F_{91}\! \left(x \right)
F_{90}\! \left(x \right) = F_{40}\! \left(x \right) F_{85}\! \left(x \right)
F_{91}\! \left(x \right) = F_{0}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = -F_{40}\! \left(x \right)+F_{43}\! \left(x \right)
F_{93}\! \left(x \right) = F_{0}\! \left(x \right) F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)+F_{96}\! \left(x \right)
F_{95}\! \left(x \right) = x^{2} F_{95} \left(x \right)^{3}-x^{2} F_{95} \left(x \right)^{2}+x F_{95} \left(x \right)^{2}+1
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{11}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = \frac{F_{99}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{99}\! \left(x \right) = F_{67}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{37}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{11}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{94}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right) F_{11}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{132}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{121}\! \left(x \right)
F_{108}\! \left(x \right) = F_{103}\! \left(x \right)+F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{103}\! \left(x \right) F_{11}\! \left(x \right) F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = \frac{F_{112}\! \left(x \right)}{F_{11}\! \left(x \right) F_{94}\! \left(x \right)}
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = -F_{116}\! \left(x \right)+F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = \frac{F_{115}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{115}\! \left(x \right) = F_{61}\! \left(x \right)
F_{116}\! \left(x \right) = -F_{117}\! \left(x \right)+F_{98}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{69}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{96}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{11}\! \left(x \right) F_{111}\! \left(x \right) F_{96}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right) F_{95}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{11}\! \left(x \right) F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{4}\! \left(x \right)
F_{125}\! \left(x \right) = -F_{130}\! \left(x \right)+F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = \frac{F_{127}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = -F_{63}\! \left(x \right)+F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{94}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{11}\! \left(x \right) F_{111}\! \left(x \right) F_{124}\! \left(x \right)
F_{132}\! \left(x \right) = F_{101}\! \left(x \right) F_{95}\! \left(x \right)
F_{133}\! \left(x \right) = F_{122}\! \left(x \right) F_{37}\! \left(x \right)
F_{134}\! \left(x \right) = -F_{138}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = \frac{F_{136}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = -F_{38}\! \left(x \right)+F_{58}\! \left(x \right)
F_{138}\! \left(x \right) = F_{43}\! \left(x \right) F_{62}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = -F_{178}\! \left(x \right)+F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{176}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{152}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)+F_{148}\! \left(x \right)
F_{145}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = \frac{F_{147}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{147}\! \left(x \right) = F_{2}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{11}\! \left(x \right) F_{150}\! \left(x \right) F_{2}\! \left(x \right)
F_{150}\! \left(x \right) = \frac{F_{151}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{151}\! \left(x \right) = F_{145}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{11}\! \left(x \right) F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{157}\! \left(x \right)
F_{155}\! \left(x \right) = F_{0}\! \left(x \right) F_{156}\! \left(x \right) F_{4}\! \left(x \right)
F_{156}\! \left(x \right) = F_{151}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{11}\! \left(x \right) F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{175}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{11}\! \left(x \right) F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{173}\! \left(x \right)
F_{163}\! \left(x \right) = F_{0}\! \left(x \right)+F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)+F_{2}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{11}\! \left(x \right) F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{169}\! \left(x \right)
F_{168}\! \left(x \right) = F_{146}\! \left(x \right) F_{2}\! \left(x \right)
F_{169}\! \left(x \right) = F_{160}\! \left(x \right)+F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right) F_{85}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)+F_{2}\! \left(x \right)
F_{172}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{145}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{2}\! \left(x \right)
F_{175}\! \left(x \right) = F_{5}\! \left(x \right) F_{85}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{11}\! \left(x \right) F_{142}\! \left(x \right) F_{40}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{180}\! \left(x \right) F_{37}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)+F_{186}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)+F_{5}\! \left(x \right)
F_{184}\! \left(x \right) = F_{171}\! \left(x \right)+F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{0}\! \left(x \right)+F_{2}\! \left(x \right)
F_{186}\! \left(x \right) = -F_{187}\! \left(x \right)+F_{150}\! \left(x \right)
F_{187}\! \left(x \right) = F_{181}\! \left(x \right)+F_{4}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{11}\! \left(x \right) F_{190}\! \left(x \right) F_{36}\! \left(x \right)
F_{190}\! \left(x \right) = \frac{F_{191}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{191}\! \left(x \right) = F_{172}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = F_{11}\! \left(x \right) F_{194}\! \left(x \right) F_{36}\! \left(x \right)
F_{194}\! \left(x \right) = \frac{F_{195}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = F_{11}\! \left(x \right) F_{150}\! \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_11(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_11(x)*F_7(x))
Eq(F_7(x), F_17(x) + F_8(x))
Eq(F_8(x), F_12(x) + F_9(x))
Eq(F_9(x), F_10(x)/F_11(x))
Eq(F_10(x), F_2(x))
Eq(F_11(x), x)
Eq(F_12(x), F_13(x) - F_192(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_11(x)*F_15(x))
Eq(F_15(x), F_16(x)/F_11(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x) + F_188(x))
Eq(F_18(x), F_19(x) + F_20(x))
Eq(F_19(x), F_0(x)*F_2(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_11(x)*F_22(x))
Eq(F_22(x), F_139(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_11(x)*F_25(x))
Eq(F_25(x), F_134(x) + F_26(x))
Eq(F_26(x), F_0(x)*F_27(x))
Eq(F_27(x), -F_133(x) + F_28(x))
Eq(F_28(x), -F_100(x) + F_29(x))
Eq(F_29(x), F_30(x)/(F_0(x)*F_11(x)))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x) - F_93(x))
Eq(F_32(x), F_33(x) - F_84(x))
Eq(F_33(x), F_34(x)/F_11(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_11(x)*F_36(x)*F_4(x))
Eq(F_36(x), F_37(x) + F_84(x))
Eq(F_37(x), F_0(x) + F_38(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_0(x)*F_11(x)*F_40(x))
Eq(F_40(x), F_37(x) + F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_11(x)*F_37(x)*F_43(x))
Eq(F_43(x), F_44(x)/(F_11(x)*F_12(x)))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_11(x)*F_47(x))
Eq(F_47(x), F_48(x) + F_83(x))
Eq(F_48(x), F_49(x) - F_79(x))
Eq(F_49(x), F_50(x) + F_51(x))
Eq(F_50(x), F_37(x)*F_8(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_11(x)*F_36(x)*F_53(x))
Eq(F_53(x), F_49(x) + F_54(x))
Eq(F_54(x), F_55(x) + F_83(x))
Eq(F_55(x), F_56(x) - F_79(x))
Eq(F_56(x), F_57(x)/F_11(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_59(x) - F_64(x))
Eq(F_59(x), F_60(x)/F_11(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_62(x) - F_63(x))
Eq(F_62(x), -F_0(x) + F_9(x))
Eq(F_63(x), x**2*(F_63(x) + 1)**3 - x*(x - 1)*(F_63(x) + 1)**2)
Eq(F_64(x), F_65(x) - F_68(x))
Eq(F_65(x), F_66(x)/F_11(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_2(x) + F_61(x))
Eq(F_68(x), F_69(x) + F_77(x))
Eq(F_69(x), F_70(x)/F_0(x))
Eq(F_70(x), F_71(x) - F_73(x))
Eq(F_71(x), F_72(x)/F_11(x))
Eq(F_72(x), F_62(x))
Eq(F_73(x), F_74(x) - F_76(x))
Eq(F_74(x), F_75(x)/F_11(x))
Eq(F_75(x), F_61(x))
Eq(F_76(x), F_2(x)*F_69(x))
Eq(F_77(x), F_74(x) - F_78(x))
Eq(F_78(x), F_12(x) + F_45(x))
Eq(F_79(x), F_80(x) + F_81(x))
Eq(F_80(x), F_37(x)*F_9(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_11(x)*F_36(x)*F_56(x))
Eq(F_83(x), F_12(x)*F_84(x))
Eq(F_84(x), F_85(x) + F_87(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_0(x)**2*F_11(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), F_11(x)*F_89(x))
Eq(F_89(x), F_90(x) + F_91(x))
Eq(F_90(x), F_40(x)*F_85(x))
Eq(F_91(x), F_0(x)*F_92(x))
Eq(F_92(x), -F_40(x) + F_43(x))
Eq(F_93(x), F_0(x)*F_94(x))
Eq(F_94(x), F_95(x) + F_96(x))
Eq(F_95(x), x**2*F_95(x)**3 - x*(x - 1)*F_95(x)**2 + 1)
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_11(x)*F_98(x))
Eq(F_98(x), F_99(x)/F_11(x))
Eq(F_99(x), F_67(x))
Eq(F_100(x), F_101(x)*F_37(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_103(x)*F_11(x))
Eq(F_103(x), F_104(x) + F_94(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_106(x)*F_11(x))
Eq(F_106(x), F_107(x) + F_132(x))
Eq(F_107(x), F_108(x) + F_121(x))
Eq(F_108(x), F_103(x) + F_109(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_103(x)*F_11(x)*F_111(x))
Eq(F_111(x), F_112(x)/(F_11(x)*F_94(x)))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x) - F_116(x))
Eq(F_114(x), F_115(x)/F_11(x))
Eq(F_115(x), F_61(x))
Eq(F_116(x), -F_117(x) + F_98(x))
Eq(F_117(x), F_118(x) + F_69(x))
Eq(F_118(x), F_119(x) + F_96(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_11(x)*F_111(x)*F_96(x))
Eq(F_121(x), F_122(x)*F_95(x))
Eq(F_122(x), F_123(x))
Eq(F_123(x), F_11(x)*F_124(x))
Eq(F_124(x), F_125(x) + F_4(x))
Eq(F_125(x), F_126(x) - F_130(x))
Eq(F_126(x), F_127(x)/F_11(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_129(x) - F_63(x))
Eq(F_129(x), -F_0(x) + F_94(x))
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_11(x)*F_111(x)*F_124(x))
Eq(F_132(x), F_101(x)*F_95(x))
Eq(F_133(x), F_122(x)*F_37(x))
Eq(F_134(x), F_135(x) - F_138(x))
Eq(F_135(x), F_136(x)/F_11(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), -F_38(x) + F_58(x))
Eq(F_138(x), F_43(x)*F_62(x))
Eq(F_139(x), F_140(x))
Eq(F_140(x), F_141(x) - F_178(x))
Eq(F_141(x), F_142(x) + F_176(x))
Eq(F_142(x), F_143(x) + F_152(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_145(x) + F_148(x))
Eq(F_145(x), -F_0(x) + F_146(x))
Eq(F_146(x), F_147(x)/F_11(x))
Eq(F_147(x), F_2(x))
Eq(F_148(x), F_149(x))
Eq(F_149(x), F_11(x)*F_150(x)*F_2(x))
Eq(F_150(x), F_151(x)/F_11(x))
Eq(F_151(x), F_145(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_11(x)*F_154(x))
Eq(F_154(x), F_155(x) + F_157(x))
Eq(F_155(x), F_0(x)*F_156(x)*F_4(x))
Eq(F_156(x), F_151(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_11(x)*F_159(x))
Eq(F_159(x), F_160(x) + F_175(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_11(x)*F_162(x))
Eq(F_162(x), F_163(x) + F_173(x))
Eq(F_163(x), F_0(x) + F_164(x))
Eq(F_164(x), F_165(x) + F_2(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_11(x)*F_167(x))
Eq(F_167(x), F_168(x) + F_169(x))
Eq(F_168(x), F_146(x)*F_2(x))
Eq(F_169(x), F_160(x) + F_170(x))
Eq(F_170(x), F_171(x)*F_85(x))
Eq(F_171(x), F_172(x) + F_2(x))
Eq(F_172(x), F_145(x) - F_2(x))
Eq(F_173(x), F_174(x))
Eq(F_174(x), F_0(x)**2*F_2(x))
Eq(F_175(x), F_5(x)*F_85(x))
Eq(F_176(x), F_177(x))
Eq(F_177(x), F_11(x)*F_142(x)*F_40(x))
Eq(F_178(x), F_179(x))
Eq(F_179(x), F_0(x)*F_11(x)*F_180(x)*F_37(x))
Eq(F_180(x), F_181(x) + F_186(x))
Eq(F_181(x), F_182(x))
Eq(F_182(x), F_0(x)*F_11(x)*F_183(x))
Eq(F_183(x), F_184(x) + F_5(x))
Eq(F_184(x), F_171(x) + F_185(x))
Eq(F_185(x), F_0(x) + F_2(x))
Eq(F_186(x), F_150(x) - F_187(x))
Eq(F_187(x), F_181(x) + F_4(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), F_11(x)*F_190(x)*F_36(x))
Eq(F_190(x), F_191(x)/F_11(x))
Eq(F_191(x), F_172(x))
Eq(F_192(x), F_193(x))
Eq(F_193(x), F_11(x)*F_194(x)*F_36(x))
Eq(F_194(x), F_195(x)/F_11(x))
Eq(F_195(x), F_196(x))
Eq(F_196(x), F_197(x) - F_2(x))
Eq(F_197(x), F_198(x))
Eq(F_198(x), F_11(x)*F_150(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [2, 0, 3, 4, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 2, 0, 4, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [2, 0, 3, 4, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 2, 0, 4, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 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": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 2], [0, 2], [0, 0], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 1, 0, 3], "pos": [[0, 2], [0, 2], [0, 0], [0, 2]]}, 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0], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [2, 3, 0, 1], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [2, 3, 0, 1], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [2, 3, 1, 0], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [2, 3, 1, 0], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[2, 1]]}], [{"patt": [0], "pos": [[1, 3]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[0, 5]]}, {"patt": [0], "pos": [[0, 6]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0], "pos": [[1, 6]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 3]]}, {"patt": [0], "pos": [[2, 5]]}, {"patt": [0, 1], "pos": [[0, 3], [0, 3]]}, {"patt": [0, 1], "pos": [[1, 5], [1, 5]]}, {"patt": [0, 1], "pos": [[2, 2], [2, 2]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 3]]}, {"patt": [1, 0], "pos": [[0, 3], [2, 2]]}, {"patt": [1, 0], "pos": [[1, 5], [1, 5]]}, {"patt": [1, 0], "pos": [[2, 2], [2, 2]]}, {"patt": [1, 0], "pos": [[2, 6], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 3], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 2], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 4], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 6], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[2, 4], [2, 4], [2, 2]]}, {"patt": [1, 2, 0], "pos": [[2, 4], [2, 6], [2, 4]]}, {"patt": [1, 2, 0], "pos": [[2, 6], [2, 6], [2, 4]]}, {"patt": [2, 0, 1], "pos": [[2, 6], [2, 4], [2, 4]]}, {"patt": [2, 1, 0], "pos": [[2, 6], [2, 4], [2, 4]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 6], [2, 6], [2, 6], [2, 6]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 6], [2, 6], [2, 6], [2, 6]]}, {"patt": [2, 3, 0, 1], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [2, 3, 0, 1], "pos": [[2, 6], [2, 6], [2, 6], [2, 6]]}, {"patt": [2, 3, 1, 0], "pos": [[2, 4], [2, 4], [2, 4], [2, 4]]}, {"patt": [2, 3, 1, 0], "pos": [[2, 6], [2, 6], [2, 6], [2, 6]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 3]]}, {"patt": [0], "pos": [[2, 2]]}], [{"patt": [0], "pos": [[1, 5]]}]], "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": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 1, 0], "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, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [2, 0, 3, 4, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 2, 0, 4, 1]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 1, 0], "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, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [2, 0, 3, 4, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 2, 0, 4, 1]], "symmetry": false}}]}
Specification 5
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25916/
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[11,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[11,x]*F[7,x]
F[7,x] = F[17,x]+F[8,x]
F[8,x] = F[12,x]+F[9,x]
F[9,x] = 1/F[11,x]*F[10,x]
F[10,x] = F[2,x]
F[11,x] = x
F[12,x] = -F[180,x]+F[13,x]
F[13,x] = F[14,x]
F[14,x] = F[11,x]*F[15,x]
F[15,x] = 1/F[11,x]*F[16,x]
F[16,x] = F[17,x]
F[17,x] = F[178,x]+F[18,x]
F[18,x] = F[19,x]+F[20,x]
F[19,x] = F[0,x]*F[2,x]
F[20,x] = F[21,x]
F[21,x] = F[11,x]*F[22,x]
F[22,x] = F[138,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[11,x]*F[25,x]
F[25,x] = F[133,x]+F[26,x]
F[26,x] = F[0,x]*F[27,x]
F[27,x] = -F[120,x]+F[28,x]
F[28,x] = -F[100,x]+F[29,x]
F[29,x] = 1/F[0,x]/F[11,x]*F[30,x]
F[30,x] = F[31,x]
F[31,x] = -F[94,x]+F[32,x]
F[32,x] = -F[85,x]+F[33,x]
F[33,x] = 1/F[11,x]*F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[11,x]*F[36,x]*F[4,x]
F[36,x] = F[37,x]+F[85,x]
F[37,x] = F[0,x]+F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[0,x]*F[11,x]*F[40,x]
F[40,x] = F[37,x]+F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[11,x]*F[37,x]*F[43,x]
F[43,x] = 1/F[11,x]/F[12,x]*F[44,x]
F[44,x] = F[45,x]
F[45,x] = F[46,x]
F[46,x] = F[11,x]*F[47,x]
F[47,x] = F[48,x]+F[84,x]
F[48,x] = -F[80,x]+F[49,x]
F[49,x] = F[50,x]+F[51,x]
F[50,x] = F[37,x]*F[8,x]
F[51,x] = F[52,x]
F[52,x] = F[11,x]*F[36,x]*F[53,x]
F[53,x] = F[49,x]+F[54,x]
F[54,x] = F[55,x]+F[84,x]
F[55,x] = -F[80,x]+F[56,x]
F[56,x] = 1/F[11,x]*F[57,x]
F[57,x] = F[58,x]
F[58,x] = -F[64,x]+F[59,x]
F[59,x] = 1/F[11,x]*F[60,x]
F[60,x] = F[61,x]
F[61,x] = -F[2,x]+F[62,x]
F[62,x] = -F[63,x]+F[9,x]
F[63,x] = 1+x^2*F[63,x]^3+(-x^2+x)*F[63,x]^2
F[64,x] = -F[67,x]+F[65,x]
F[65,x] = 1/F[11,x]*F[66,x]
F[66,x] = F[62,x]
F[67,x] = F[68,x]+F[78,x]
F[68,x] = 1/F[0,x]*F[69,x]
F[69,x] = -F[74,x]+F[70,x]
F[70,x] = 1/F[11,x]*F[71,x]
F[71,x] = F[72,x]
F[72,x] = F[61,x]+F[73,x]
F[73,x] = x*(1+F[73,x])^2*(x*F[73,x]+1)
F[74,x] = -F[77,x]+F[75,x]
F[75,x] = 1/F[11,x]*F[76,x]
F[76,x] = F[61,x]
F[77,x] = F[2,x]*F[68,x]
F[78,x] = -F[79,x]+F[75,x]
F[79,x] = F[12,x]+F[45,x]
F[80,x] = F[81,x]+F[82,x]
F[81,x] = F[37,x]*F[9,x]
F[82,x] = F[83,x]
F[83,x] = F[11,x]*F[36,x]*F[56,x]
F[84,x] = F[12,x]*F[85,x]
F[85,x] = F[86,x]+F[88,x]
F[86,x] = F[87,x]
F[87,x] = F[0,x]^2*F[11,x]
F[88,x] = F[89,x]
F[89,x] = F[11,x]*F[90,x]
F[90,x] = F[91,x]+F[93,x]
F[91,x] = F[0,x]*F[92,x]
F[92,x] = -F[40,x]+F[43,x]
F[93,x] = F[40,x]*F[86,x]
F[94,x] = F[0,x]*F[95,x]
F[95,x] = F[63,x]+F[96,x]
F[96,x] = F[97,x]
F[97,x] = F[11,x]*F[98,x]
F[98,x] = 1/F[11,x]*F[99,x]
F[99,x] = F[62,x]
F[100,x] = F[101,x]*F[37,x]
F[101,x] = F[102,x]
F[102,x] = F[103,x]*F[11,x]
F[103,x] = F[104,x]+F[4,x]
F[104,x] = -F[108,x]+F[105,x]
F[105,x] = 1/F[11,x]*F[106,x]
F[106,x] = F[107,x]
F[107,x] = -F[2,x]+F[96,x]
F[108,x] = F[109,x]
F[109,x] = F[103,x]*F[11,x]*F[110,x]
F[110,x] = 1/F[11,x]/F[95,x]*F[111,x]
F[111,x] = F[112,x]
F[112,x] = -F[115,x]+F[113,x]
F[113,x] = 1/F[11,x]*F[114,x]
F[114,x] = F[61,x]
F[115,x] = -F[116,x]+F[98,x]
F[116,x] = F[117,x]+F[68,x]
F[117,x] = F[118,x]+F[96,x]
F[118,x] = F[119,x]
F[119,x] = F[11,x]*F[110,x]*F[96,x]
F[120,x] = F[121,x]*F[37,x]
F[121,x] = F[122,x]
F[122,x] = F[11,x]*F[123,x]
F[123,x] = F[124,x]+F[95,x]
F[124,x] = F[125,x]
F[125,x] = F[11,x]*F[126,x]
F[126,x] = F[127,x]+F[132,x]
F[127,x] = F[128,x]+F[131,x]
F[128,x] = F[123,x]+F[129,x]
F[129,x] = F[130,x]
F[130,x] = F[11,x]*F[110,x]*F[123,x]
F[131,x] = F[121,x]*F[63,x]
F[132,x] = F[101,x]*F[63,x]
F[133,x] = -F[137,x]+F[134,x]
F[134,x] = 1/F[11,x]*F[135,x]
F[135,x] = F[136,x]
F[136,x] = -F[38,x]+F[58,x]
F[137,x] = F[43,x]*F[72,x]
F[138,x] = -F[174,x]+F[139,x]
F[139,x] = F[140,x]+F[172,x]
F[140,x] = F[141,x]+F[150,x]
F[141,x] = F[142,x]
F[142,x] = F[143,x]+F[148,x]
F[143,x] = F[144,x]+F[2,x]
F[144,x] = -F[2,x]+F[145,x]
F[145,x] = -F[0,x]+F[146,x]
F[146,x] = 1/F[11,x]*F[147,x]
F[147,x] = F[2,x]
F[148,x] = F[149,x]
F[149,x] = F[11,x]*F[143,x]*F[4,x]
F[150,x] = F[151,x]
F[151,x] = F[11,x]*F[152,x]
F[152,x] = F[153,x]+F[155,x]
F[153,x] = F[0,x]*F[154,x]*F[4,x]
F[154,x] = F[143,x]
F[155,x] = F[156,x]
F[156,x] = F[11,x]*F[157,x]
F[157,x] = F[158,x]+F[171,x]
F[158,x] = F[159,x]
F[159,x] = F[11,x]*F[160,x]
F[160,x] = F[161,x]+F[169,x]
F[161,x] = F[0,x]+F[162,x]
F[162,x] = F[163,x]+F[2,x]
F[163,x] = F[164,x]
F[164,x] = F[11,x]*F[165,x]
F[165,x] = F[166,x]+F[167,x]
F[166,x] = F[146,x]*F[2,x]
F[167,x] = F[158,x]+F[168,x]
F[168,x] = F[145,x]*F[86,x]
F[169,x] = F[170,x]
F[170,x] = F[0,x]^2*F[2,x]
F[171,x] = F[5,x]*F[86,x]
F[172,x] = F[173,x]
F[173,x] = F[11,x]*F[140,x]*F[40,x]
F[174,x] = F[175,x]
F[175,x] = F[0,x]*F[11,x]*F[176,x]*F[37,x]
F[176,x] = 1/F[11,x]*F[177,x]
F[177,x] = F[144,x]
F[178,x] = F[179,x]
F[179,x] = F[11,x]*F[176,x]*F[36,x]
F[180,x] = F[181,x]
F[181,x] = F[11,x]*F[182,x]*F[36,x]
F[182,x] = 1/F[11,x]*F[183,x]
F[183,x] = F[184,x]
F[184,x] = -F[2,x]+F[5,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_{11}\! \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_{6}\! \left(x \right) = F_{11}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{17}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{12}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = \frac{F_{10}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{10}\! \left(x \right) = F_{2}\! \left(x \right)
F_{11}\! \left(x \right) = x
F_{12}\! \left(x \right) = -F_{180}\! \left(x \right)+F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{11}\! \left(x \right) F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = \frac{F_{16}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{178}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{20}\! \left(x \right)
F_{19}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{11}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{138}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{11}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{133}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{0}\! \left(x \right) F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = -F_{120}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = -F_{100}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{0}\! \left(x \right) F_{11}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{94}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = -F_{85}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = \frac{F_{34}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{11}\! \left(x \right) F_{36}\! \left(x \right) F_{4}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{85}\! \left(x \right)
F_{37}\! \left(x \right) = F_{0}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{37}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{11}\! \left(x \right) F_{37}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = \frac{F_{44}\! \left(x \right)}{F_{11}\! \left(x \right) F_{12}\! \left(x \right)}
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{11}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{84}\! \left(x \right)
F_{48}\! \left(x \right) = -F_{80}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)+F_{51}\! \left(x \right)
F_{50}\! \left(x \right) = F_{37}\! \left(x \right) F_{8}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{11}\! \left(x \right) F_{36}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{49}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{84}\! \left(x \right)
F_{55}\! \left(x \right) = -F_{80}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = -F_{64}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = \frac{F_{60}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = -F_{63}\! \left(x \right)+F_{9}\! \left(x \right)
F_{63}\! \left(x \right) = x^{2} F_{63} \left(x \right)^{3}-x^{2} F_{63} \left(x \right)^{2}+x F_{63} \left(x \right)^{2}+1
F_{64}\! \left(x \right) = -F_{67}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = \frac{F_{66}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{66}\! \left(x \right) = F_{62}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{78}\! \left(x \right)
F_{68}\! \left(x \right) = \frac{F_{69}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{69}\! \left(x \right) = -F_{74}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = \frac{F_{71}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{61}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = x^{2} F_{73} \left(x \right)^{3}+2 x^{2} F_{73} \left(x \right)^{2}+x^{2} F_{73}\! \left(x \right)+x F_{73} \left(x \right)^{2}+2 x F_{73}\! \left(x \right)+x
F_{74}\! \left(x \right) = -F_{77}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = \frac{F_{76}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{76}\! \left(x \right) = F_{61}\! \left(x \right)
F_{77}\! \left(x \right) = F_{2}\! \left(x \right) F_{68}\! \left(x \right)
F_{78}\! \left(x \right) = -F_{79}\! \left(x \right)+F_{75}\! \left(x \right)
F_{79}\! \left(x \right) = F_{12}\! \left(x \right)+F_{45}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)+F_{82}\! \left(x \right)
F_{81}\! \left(x \right) = F_{37}\! \left(x \right) F_{9}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{11}\! \left(x \right) F_{36}\! \left(x \right) F_{56}\! \left(x \right)
F_{84}\! \left(x \right) = F_{12}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)+F_{88}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{11}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{11}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{93}\! \left(x \right)
F_{91}\! \left(x \right) = F_{0}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = -F_{40}\! \left(x \right)+F_{43}\! \left(x \right)
F_{93}\! \left(x \right) = F_{40}\! \left(x \right) F_{86}\! \left(x \right)
F_{94}\! \left(x \right) = F_{0}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{63}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{11}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = \frac{F_{99}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{99}\! \left(x \right) = F_{62}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{37}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{11}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{4}\! \left(x \right)
F_{104}\! \left(x \right) = -F_{108}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = \frac{F_{106}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{96}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{103}\! \left(x \right) F_{11}\! \left(x \right) F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = \frac{F_{111}\! \left(x \right)}{F_{11}\! \left(x \right) F_{95}\! \left(x \right)}
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = -F_{115}\! \left(x \right)+F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = \frac{F_{114}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{114}\! \left(x \right) = F_{61}\! \left(x \right)
F_{115}\! \left(x \right) = -F_{116}\! \left(x \right)+F_{98}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)+F_{68}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{96}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{11}\! \left(x \right) F_{110}\! \left(x \right) F_{96}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{37}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{11}\! \left(x \right) F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{95}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{11}\! \left(x \right) F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{132}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{131}\! \left(x \right)
F_{128}\! \left(x \right) = F_{123}\! \left(x \right)+F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{11}\! \left(x \right) F_{110}\! \left(x \right) F_{123}\! \left(x \right)
F_{131}\! \left(x \right) = F_{121}\! \left(x \right) F_{63}\! \left(x \right)
F_{132}\! \left(x \right) = F_{101}\! \left(x \right) F_{63}\! \left(x \right)
F_{133}\! \left(x \right) = -F_{137}\! \left(x \right)+F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = \frac{F_{135}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = -F_{38}\! \left(x \right)+F_{58}\! \left(x \right)
F_{137}\! \left(x \right) = F_{43}\! \left(x \right) F_{72}\! \left(x \right)
F_{138}\! \left(x \right) = -F_{174}\! \left(x \right)+F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{172}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)+F_{150}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{148}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)+F_{2}\! \left(x \right)
F_{144}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = \frac{F_{147}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{147}\! \left(x \right) = F_{2}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{11}\! \left(x \right) F_{143}\! \left(x \right) F_{4}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{11}\! \left(x \right) F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)+F_{155}\! \left(x \right)
F_{153}\! \left(x \right) = F_{0}\! \left(x \right) F_{154}\! \left(x \right) F_{4}\! \left(x \right)
F_{154}\! \left(x \right) = F_{143}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{11}\! \left(x \right) F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)+F_{171}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{11}\! \left(x \right) F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)+F_{169}\! \left(x \right)
F_{161}\! \left(x \right) = F_{0}\! \left(x \right)+F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{2}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{11}\! \left(x \right) F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{167}\! \left(x \right)
F_{166}\! \left(x \right) = F_{146}\! \left(x \right) F_{2}\! \left(x \right)
F_{167}\! \left(x \right) = F_{158}\! \left(x \right)+F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{145}\! \left(x \right) F_{86}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{2}\! \left(x \right)
F_{171}\! \left(x \right) = F_{5}\! \left(x \right) F_{86}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{11}\! \left(x \right) F_{140}\! \left(x \right) F_{40}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{176}\! \left(x \right) F_{37}\! \left(x \right)
F_{176}\! \left(x \right) = \frac{F_{177}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{177}\! \left(x \right) = F_{144}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{11}\! \left(x \right) F_{176}\! \left(x \right) F_{36}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{11}\! \left(x \right) F_{182}\! \left(x \right) F_{36}\! \left(x \right)
F_{182}\! \left(x \right) = \frac{F_{183}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{5}\! \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_11(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_11(x)*F_7(x))
Eq(F_7(x), F_17(x) + F_8(x))
Eq(F_8(x), F_12(x) + F_9(x))
Eq(F_9(x), F_10(x)/F_11(x))
Eq(F_10(x), F_2(x))
Eq(F_11(x), x)
Eq(F_12(x), F_13(x) - F_180(x))
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_11(x)*F_15(x))
Eq(F_15(x), F_16(x)/F_11(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_178(x) + F_18(x))
Eq(F_18(x), F_19(x) + F_20(x))
Eq(F_19(x), F_0(x)*F_2(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_11(x)*F_22(x))
Eq(F_22(x), F_138(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_11(x)*F_25(x))
Eq(F_25(x), F_133(x) + F_26(x))
Eq(F_26(x), F_0(x)*F_27(x))
Eq(F_27(x), -F_120(x) + F_28(x))
Eq(F_28(x), -F_100(x) + F_29(x))
Eq(F_29(x), F_30(x)/(F_0(x)*F_11(x)))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x) - F_94(x))
Eq(F_32(x), F_33(x) - F_85(x))
Eq(F_33(x), F_34(x)/F_11(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_11(x)*F_36(x)*F_4(x))
Eq(F_36(x), F_37(x) + F_85(x))
Eq(F_37(x), F_0(x) + F_38(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_0(x)*F_11(x)*F_40(x))
Eq(F_40(x), F_37(x) + F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_11(x)*F_37(x)*F_43(x))
Eq(F_43(x), F_44(x)/(F_11(x)*F_12(x)))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_11(x)*F_47(x))
Eq(F_47(x), F_48(x) + F_84(x))
Eq(F_48(x), F_49(x) - F_80(x))
Eq(F_49(x), F_50(x) + F_51(x))
Eq(F_50(x), F_37(x)*F_8(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_11(x)*F_36(x)*F_53(x))
Eq(F_53(x), F_49(x) + F_54(x))
Eq(F_54(x), F_55(x) + F_84(x))
Eq(F_55(x), F_56(x) - F_80(x))
Eq(F_56(x), F_57(x)/F_11(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_59(x) - F_64(x))
Eq(F_59(x), F_60(x)/F_11(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), -F_2(x) + F_62(x))
Eq(F_62(x), -F_63(x) + F_9(x))
Eq(F_63(x), x**2*F_63(x)**3 - x*(x - 1)*F_63(x)**2 + 1)
Eq(F_64(x), F_65(x) - F_67(x))
Eq(F_65(x), F_66(x)/F_11(x))
Eq(F_66(x), F_62(x))
Eq(F_67(x), F_68(x) + F_78(x))
Eq(F_68(x), F_69(x)/F_0(x))
Eq(F_69(x), F_70(x) - F_74(x))
Eq(F_70(x), F_71(x)/F_11(x))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_61(x) + F_73(x))
Eq(F_73(x), x**2*(F_73(x) + 1)**3 - x*(x - 1)*(F_73(x) + 1)**2)
Eq(F_74(x), F_75(x) - F_77(x))
Eq(F_75(x), F_76(x)/F_11(x))
Eq(F_76(x), F_61(x))
Eq(F_77(x), F_2(x)*F_68(x))
Eq(F_78(x), F_75(x) - F_79(x))
Eq(F_79(x), F_12(x) + F_45(x))
Eq(F_80(x), F_81(x) + F_82(x))
Eq(F_81(x), F_37(x)*F_9(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_11(x)*F_36(x)*F_56(x))
Eq(F_84(x), F_12(x)*F_85(x))
Eq(F_85(x), F_86(x) + F_88(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_0(x)**2*F_11(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_11(x)*F_90(x))
Eq(F_90(x), F_91(x) + F_93(x))
Eq(F_91(x), F_0(x)*F_92(x))
Eq(F_92(x), -F_40(x) + F_43(x))
Eq(F_93(x), F_40(x)*F_86(x))
Eq(F_94(x), F_0(x)*F_95(x))
Eq(F_95(x), F_63(x) + F_96(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_11(x)*F_98(x))
Eq(F_98(x), F_99(x)/F_11(x))
Eq(F_99(x), F_62(x))
Eq(F_100(x), F_101(x)*F_37(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_103(x)*F_11(x))
Eq(F_103(x), F_104(x) + F_4(x))
Eq(F_104(x), F_105(x) - F_108(x))
Eq(F_105(x), F_106(x)/F_11(x))
Eq(F_106(x), F_107(x))
Eq(F_107(x), -F_2(x) + F_96(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_103(x)*F_11(x)*F_110(x))
Eq(F_110(x), F_111(x)/(F_11(x)*F_95(x)))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_113(x) - F_115(x))
Eq(F_113(x), F_114(x)/F_11(x))
Eq(F_114(x), F_61(x))
Eq(F_115(x), -F_116(x) + F_98(x))
Eq(F_116(x), F_117(x) + F_68(x))
Eq(F_117(x), F_118(x) + F_96(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_11(x)*F_110(x)*F_96(x))
Eq(F_120(x), F_121(x)*F_37(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_11(x)*F_123(x))
Eq(F_123(x), F_124(x) + F_95(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_11(x)*F_126(x))
Eq(F_126(x), F_127(x) + F_132(x))
Eq(F_127(x), F_128(x) + F_131(x))
Eq(F_128(x), F_123(x) + F_129(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_11(x)*F_110(x)*F_123(x))
Eq(F_131(x), F_121(x)*F_63(x))
Eq(F_132(x), F_101(x)*F_63(x))
Eq(F_133(x), F_134(x) - F_137(x))
Eq(F_134(x), F_135(x)/F_11(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), -F_38(x) + F_58(x))
Eq(F_137(x), F_43(x)*F_72(x))
Eq(F_138(x), F_139(x) - F_174(x))
Eq(F_139(x), F_140(x) + F_172(x))
Eq(F_140(x), F_141(x) + F_150(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_143(x) + F_148(x))
Eq(F_143(x), F_144(x) + F_2(x))
Eq(F_144(x), F_145(x) - F_2(x))
Eq(F_145(x), -F_0(x) + F_146(x))
Eq(F_146(x), F_147(x)/F_11(x))
Eq(F_147(x), F_2(x))
Eq(F_148(x), F_149(x))
Eq(F_149(x), F_11(x)*F_143(x)*F_4(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_11(x)*F_152(x))
Eq(F_152(x), F_153(x) + F_155(x))
Eq(F_153(x), F_0(x)*F_154(x)*F_4(x))
Eq(F_154(x), F_143(x))
Eq(F_155(x), F_156(x))
Eq(F_156(x), F_11(x)*F_157(x))
Eq(F_157(x), F_158(x) + F_171(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_11(x)*F_160(x))
Eq(F_160(x), F_161(x) + F_169(x))
Eq(F_161(x), F_0(x) + F_162(x))
Eq(F_162(x), F_163(x) + F_2(x))
Eq(F_163(x), F_164(x))
Eq(F_164(x), F_11(x)*F_165(x))
Eq(F_165(x), F_166(x) + F_167(x))
Eq(F_166(x), F_146(x)*F_2(x))
Eq(F_167(x), F_158(x) + F_168(x))
Eq(F_168(x), F_145(x)*F_86(x))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_0(x)**2*F_2(x))
Eq(F_171(x), F_5(x)*F_86(x))
Eq(F_172(x), F_173(x))
Eq(F_173(x), F_11(x)*F_140(x)*F_40(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_0(x)*F_11(x)*F_176(x)*F_37(x))
Eq(F_176(x), F_177(x)/F_11(x))
Eq(F_177(x), F_144(x))
Eq(F_178(x), F_179(x))
Eq(F_179(x), F_11(x)*F_176(x)*F_36(x))
Eq(F_180(x), F_181(x))
Eq(F_181(x), F_11(x)*F_182(x)*F_36(x))
Eq(F_182(x), F_183(x)/F_11(x))
Eq(F_183(x), F_184(x))
Eq(F_184(x), -F_2(x) + F_5(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [2, 0, 3, 4, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 2, 0, 4, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [2, 0, 3, 4, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 2, 0, 4, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 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": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 2], [0, 2], [0, 0], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 1, 0, 3], "pos": [[0, 2], [0, 2], [0, 0], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 4, 1], "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, 2], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], 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