03241_03412_03421_30241_30412_30421
Counting sequence:
1, 1, 2, 6, 24, 114, 596, 3292, 18828, 110368, 659278, 3998252, 24553072, 152375196, 954163784, 6021372048, 38255833518, 244497012094, 1570825477180, 10139428743314, 65723549544282, 427633786952870, 2791984390079566, 18285673906463668, 120101943734131292, 790912607467921250, 5221035880862388674, 34542604591412257450, 229009192797384239772, 1521201919944060816194, 10122786327268208853414, 67474749671452517189574, 450468209928170285794428, 3011803294809840790983078, 20164635001100404437247732, 135182503061253200770836296, 907371161912135664382193952, 6097537506014050709746983744, 41020600161810702427419122902, 276250245748435966163551055202, 1862230669936989008061525846774, 12565307723420341796046451688106, 84859777741882972830743120694796, 573589787083974782207356771003006, 3880204445146164950741577481333284, 26269122161266472892258708314074452, 177975159025133799826174627426038700, 1206652409979883229627642133625210918, 8186549886105241923173110266571751244, 55578055588576234226911428239089241386, 377553074012464233662181314026120606904, 2566339442484878653675233868914091726642, 17454260125167819899667456482389721261146, 118776482448252171111856458745065228067668, 808708665263271783142905028576406699394548, 5509063844518382623114374607775431047716332, 37547368011243590536864789114873538147761342, 256029213083749351135251440037689030876297996, 1746628792235653143412391517795385744802658214, 11920813570052254070666889812442238004797098358, 81395206301878566974760420361608753873862932984, 555997961968727806839303662127395995977953287156, 3799470718817539822626159551490014792253084792050, 25974243678790121987064764891874750131446751890358, 177634479324228488562331914338822153780785000974598, 1215265204685825287604871176778707350673870409210552, 8317052144373854717598628767102071582406390342543460, 56940030544388718491819797337785168180953695324550180, 389952250034066528162530316388045844741030080701701022, 2671445856443247404844065350927447998521644240542025806, 18307054113805646694624539782393555162163457357879677648, 125494242569330291833365662444383301984262299724152793528, 860515414607089062470494874242537907513200586983277409468, 5902275081533379722359339342899483326823582675314336102218, 40495125295816462984056551594773481354851747138840483293568, 277910697355516148857443071610495721043914612798134743493202, 1907760426313656176946623286736315268561359074030243392750316, 13099521288341651030250664088479617644839556828761580664335762, 89969873971446774638069850038219098306502755416392590640341730, 618081990187396556791812486334775950529186130538265115861860436, 4247170094737002424671211484395423847664774497979590186461798212, 29191418997144455701365338484054439696275884706894123167536417838, 200682841024246806928609365814479343914896477975697917113724582948, 1379946795908269373503008769205173827753057955129133115119387250486, 9490939058837571270508669471099152454085145687851059707234222624182, 65290278821534492383114815338997214452159596637542051218963529561006, 449239765732026364697758599512026810830234188839526225142204175869152, 3091691136049457223146499111703680987873319789404770436083795677114568, 21281401764833804909707537908613504363763921179809462512663084864642010, 146517207057518500486738582698151259856710286580599503875019737861942060, 1008926242363692647425482514314295812563059767871197448117843105679136506, 6948815309270588948065409979679326843316739698537771771868410521107117074, 47867519257759238417743677557573934821126250571292882056861894066162395730, 329798114598228630555334744875418769706518045790929192975966654459659337024, 2272641128059760679868097790506161973232725210317477051198756039859510308452, 15663449188808377626259735094030125380555039482245986223331047353636204785504, 107973267171568016256313952702873054754226261197447211193154804346467127785854, 744416315664366616014508394503864538985932256323839792852879190651461420534352, 5133160809159750033021436385889698897525041565512611807281550322312125940675770, 35401510582226040120573505138403578442423535602053808219712251267368697208440264, 244188545647885750574515910323702524503688598300088325678284959109535534713468582
Specification 1
Strategy pack name: point_and_col_placements_req_corrob
Tree: http://www.permpal.com/tree/24403/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[1,x]+F[283,x]+F[6,x]
F[6,x] = F[4,x]*F[7,x]
F[7,x] = F[5,x]+F[8,x]
F[8,x] = F[9,x]
F[9,x] = F[10,x]*F[4,x]
F[10,x] = F[11,x]+F[128,x]
F[11,x] = F[12,x]+F[24,x]
F[12,x] = F[13,x]*F[5,x]
F[13,x] = F[14,x]+F[15,x]
F[14,x] = -1+(x^2-2*x)*F[14,x]^2+(2+x)*F[14,x]
F[15,x] = F[16,x]+F[17,x]+F[23,x]
F[16,x] = 0
F[17,x] = F[18,x]*F[4,x]
F[18,x] = F[13,x]+F[19,x]
F[19,x] = F[20,x]
F[20,x] = F[13,x]*F[21,x]*F[4,x]
F[21,x] = F[13,x]+F[22,x]
F[22,x] = F[15,x]
F[23,x] = F[22,x]*F[4,x]
F[24,x] = F[25,x]+F[26,x]+F[281,x]
F[25,x] = -F[13,x]+F[7,x]
F[26,x] = F[27,x]
F[27,x] = F[28,x]*F[4,x]
F[28,x] = F[102,x]+F[29,x]
F[29,x] = F[25,x]*F[30,x]
F[30,x] = 1/F[4,x]*F[31,x]
F[31,x] = -F[1,x]-F[34,x]+F[32,x]
F[32,x] = 1/F[4,x]*F[33,x]
F[33,x] = F[2,x]
F[34,x] = F[35,x]*F[4,x]
F[35,x] = F[36,x]+F[5,x]
F[36,x] = -F[41,x]+F[37,x]
F[37,x] = 1/F[4,x]*F[38,x]
F[38,x] = F[39,x]
F[39,x] = -F[2,x]+F[40,x]
F[40,x] = -F[0,x]+F[32,x]
F[41,x] = F[42,x]+F[43,x]
F[42,x] = F[2,x]*F[5,x]
F[43,x] = F[44,x]
F[44,x] = F[4,x]*F[45,x]
F[45,x] = F[46,x]+F[49,x]
F[46,x] = F[2,x]*F[47,x]
F[47,x] = 1/F[4,x]*F[48,x]
F[48,x] = F[36,x]
F[49,x] = F[50,x]
F[50,x] = F[0,x]*F[51,x]
F[51,x] = F[52,x]+F[94,x]
F[52,x] = F[53,x]+F[54,x]
F[53,x] = F[40,x]*F[5,x]
F[54,x] = F[55,x]*F[91,x]
F[55,x] = -F[85,x]+F[56,x]
F[56,x] = 1/F[4,x]*F[57,x]
F[57,x] = -F[16,x]-F[58,x]+F[40,x]
F[58,x] = -F[1,x]-F[59,x]+F[32,x]
F[59,x] = F[4,x]*F[60,x]
F[60,x] = F[61,x]+F[84,x]
F[61,x] = F[0,x]+F[62,x]
F[62,x] = F[63,x]
F[63,x] = F[4,x]*F[64,x]
F[64,x] = F[65,x]+F[83,x]
F[65,x] = -F[72,x]+F[66,x]
F[66,x] = F[67,x]+F[68,x]
F[67,x] = F[0,x]*F[32,x]
F[68,x] = F[69,x]
F[69,x] = F[4,x]*F[70,x]
F[70,x] = F[49,x]+F[71,x]
F[71,x] = F[0,x]*F[47,x]
F[72,x] = F[73,x]+F[74,x]
F[73,x] = F[0,x]*F[40,x]
F[74,x] = F[75,x]
F[75,x] = F[4,x]*F[76,x]
F[76,x] = F[49,x]+F[77,x]
F[77,x] = F[0,x]*F[78,x]
F[78,x] = F[79,x]
F[79,x] = F[0,x]*F[4,x]*F[80,x]
F[80,x] = F[47,x]+F[81,x]
F[81,x] = F[82,x]
F[82,x] = F[0,x]*F[4,x]*F[80,x]
F[83,x] = F[73,x]
F[84,x] = F[40,x]+F[85,x]
F[85,x] = F[86,x]
F[86,x] = F[4,x]*F[87,x]
F[87,x] = F[51,x]+F[88,x]
F[88,x] = F[0,x]*F[89,x]
F[89,x] = F[90,x]
F[90,x] = F[4,x]*F[80,x]
F[91,x] = F[92,x]
F[92,x] = F[0,x]*F[4,x]*F[93,x]
F[93,x] = F[5,x]+F[91,x]
F[94,x] = F[55,x]*F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[4,x]*F[93,x]*F[97,x]
F[97,x] = F[1,x]+F[100,x]+F[101,x]+F[98,x]
F[98,x] = F[4,x]*F[99,x]
F[99,x] = F[93,x]+F[95,x]
F[100,x] = F[4,x]*F[97,x]
F[101,x] = F[4,x]*F[97,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[32,x]*F[4,x]*F[5,x]
F[104,x] = F[105,x]+F[279,x]
F[105,x] = F[106,x]+F[277,x]
F[106,x] = F[107,x]+F[180,x]
F[107,x] = -F[266,x]+F[108,x]
F[108,x] = F[0,x]+F[109,x]+F[232,x]+F[264,x]
F[109,x] = F[110,x]
F[110,x] = F[111,x]*F[4,x]
F[111,x] = F[112,x]+F[253,x]
F[112,x] = F[113,x]+F[252,x]
F[113,x] = F[114,x]+F[7,x]
F[114,x] = F[115,x]
F[115,x] = F[116,x]*F[4,x]
F[116,x] = F[117,x]+F[250,x]
F[117,x] = F[118,x]+F[128,x]
F[118,x] = F[119,x]+F[120,x]
F[119,x] = F[13,x]*F[7,x]
F[120,x] = F[121,x]
F[121,x] = F[122,x]*F[4,x]
F[122,x] = F[123,x]+F[126,x]
F[123,x] = F[124,x]*F[7,x]
F[124,x] = 1/F[4,x]*F[125,x]
F[125,x] = F[25,x]
F[126,x] = F[127,x]
F[127,x] = F[104,x]*F[32,x]*F[4,x]*F[7,x]
F[128,x] = F[129,x]+F[131,x]
F[129,x] = F[130,x]
F[130,x] = F[106,x]*F[4,x]*F[5,x]
F[131,x] = F[132,x]
F[132,x] = F[133,x]*F[4,x]
F[133,x] = F[134,x]+F[248,x]
F[134,x] = F[135,x]+F[246,x]
F[135,x] = -F[139,x]+F[136,x]
F[136,x] = 1/F[4,x]*F[137,x]
F[137,x] = F[138,x]
F[138,x] = -F[7,x]+F[113,x]
F[139,x] = F[140,x]+F[182,x]
F[140,x] = F[141,x]+F[146,x]+F[244,x]
F[141,x] = F[142,x]+F[145,x]
F[142,x] = F[143,x]+F[5,x]
F[143,x] = F[144,x]
F[144,x] = F[11,x]*F[4,x]
F[145,x] = F[138,x]
F[146,x] = F[147,x]
F[147,x] = F[148,x]*F[4,x]
F[148,x] = F[149,x]+F[150,x]
F[149,x] = F[141,x]*F[30,x]
F[150,x] = F[151,x]
F[151,x] = F[152,x]*F[32,x]*F[4,x]*F[5,x]
F[152,x] = 1/F[4,x]*F[153,x]
F[153,x] = F[154,x]
F[154,x] = 1/F[4,x]*F[155,x]
F[155,x] = -F[16,x]-F[202,x]-F[242,x]-F[6,x]+F[156,x]
F[156,x] = F[157,x]+F[159,x]
F[157,x] = F[158,x]
F[158,x] = F[106,x]*F[4,x]
F[159,x] = F[160,x]
F[160,x] = F[161,x]*F[4,x]
F[161,x] = F[162,x]+F[193,x]
F[162,x] = -F[171,x]+F[163,x]
F[163,x] = 1/F[4,x]*F[164,x]
F[164,x] = F[165,x]
F[165,x] = -F[170,x]+F[166,x]
F[166,x] = 1/F[4,x]*F[167,x]
F[167,x] = -F[1,x]-F[168,x]-F[169,x]+F[7,x]
F[168,x] = F[113,x]*F[4,x]
F[169,x] = F[141,x]*F[4,x]
F[170,x] = F[157,x]+F[5,x]
F[171,x] = F[172,x]+F[193,x]
F[172,x] = F[173,x]+F[180,x]
F[173,x] = F[141,x]+F[174,x]
F[174,x] = F[175,x]
F[175,x] = F[176,x]*F[4,x]
F[176,x] = F[177,x]+F[178,x]
F[177,x] = F[141,x]*F[32,x]
F[178,x] = F[179,x]
F[179,x] = F[0,x]*F[152,x]*F[32,x]*F[4,x]
F[180,x] = F[16,x]+F[181,x]+F[192,x]
F[181,x] = F[182,x]*F[4,x]
F[182,x] = F[183,x]
F[183,x] = F[184,x]*F[187,x]*F[4,x]
F[184,x] = F[185,x]+F[5,x]
F[185,x] = F[186,x]
F[186,x] = F[0,x]*F[184,x]*F[4,x]
F[187,x] = 1/F[189,x]/F[4,x]*F[188,x]
F[188,x] = F[180,x]
F[189,x] = F[1,x]+F[190,x]+F[191,x]
F[190,x] = F[184,x]*F[4,x]
F[191,x] = F[189,x]*F[4,x]
F[192,x] = F[104,x]*F[4,x]
F[193,x] = F[194,x]
F[194,x] = F[195,x]*F[4,x]
F[195,x] = F[172,x]+F[196,x]
F[196,x] = F[197,x]
F[197,x] = F[198,x]*F[4,x]
F[198,x] = F[199,x]+F[200,x]
F[199,x] = F[172,x]*F[32,x]
F[200,x] = F[201,x]
F[201,x] = F[0,x]*F[195,x]*F[32,x]*F[4,x]
F[202,x] = F[203,x]*F[4,x]
F[203,x] = -F[238,x]-F[240,x]+F[204,x]
F[204,x] = F[205,x]+F[234,x]
F[205,x] = -F[226,x]+F[206,x]
F[206,x] = 1/F[4,x]*F[207,x]
F[207,x] = F[208,x]
F[208,x] = -F[0,x]-F[214,x]-F[216,x]-F[218,x]+F[209,x]
F[209,x] = F[166,x]+F[210,x]
F[210,x] = F[211,x]
F[211,x] = F[212,x]*F[4,x]
F[212,x] = F[10,x]+F[213,x]
F[213,x] = F[128,x]
F[214,x] = F[215,x]
F[215,x] = F[0,x]*F[4,x]*F[7,x]
F[216,x] = F[217,x]*F[4,x]
F[217,x] = F[162,x]+F[173,x]
F[218,x] = F[219,x]*F[4,x]
F[219,x] = F[209,x]+F[220,x]
F[220,x] = F[221,x]
F[221,x] = F[16,x]+F[214,x]+F[222,x]+F[223,x]+F[224,x]
F[222,x] = F[205,x]*F[4,x]
F[223,x] = F[162,x]*F[4,x]
F[224,x] = F[225,x]
F[225,x] = F[221,x]*F[4,x]
F[226,x] = 1/F[4,x]*F[227,x]
F[227,x] = F[228,x]
F[228,x] = -F[0,x]-F[232,x]-F[233,x]+F[229,x]
F[229,x] = F[230,x]+F[7,x]
F[230,x] = F[231,x]
F[231,x] = F[10,x]*F[4,x]
F[232,x] = F[173,x]*F[4,x]
F[233,x] = F[209,x]*F[4,x]
F[234,x] = F[16,x]+F[235,x]+F[238,x]
F[235,x] = F[236,x]
F[236,x] = F[203,x]*F[237,x]*F[4,x]
F[237,x] = -F[32,x]+F[30,x]
F[238,x] = F[239,x]
F[239,x] = F[203,x]*F[35,x]*F[4,x]
F[240,x] = F[241,x]
F[241,x] = F[203,x]*F[30,x]*F[4,x]
F[242,x] = F[243,x]
F[243,x] = F[156,x]*F[4,x]
F[244,x] = F[245,x]
F[245,x] = F[141,x]*F[35,x]*F[4,x]
F[246,x] = F[247,x]
F[247,x] = F[154,x]*F[32,x]*F[4,x]*F[5,x]
F[248,x] = F[249,x]
F[249,x] = F[195,x]*F[4,x]*F[5,x]
F[250,x] = F[251,x]
F[251,x] = F[104,x]*F[4,x]*F[7,x]
F[252,x] = F[2,x]*F[7,x]
F[253,x] = F[254,x]
F[254,x] = F[255,x]*F[4,x]
F[255,x] = F[256,x]+F[257,x]
F[256,x] = F[112,x]*F[32,x]
F[257,x] = 1/F[4,x]*F[258,x]
F[258,x] = -F[261,x]-F[263,x]-2*F[16,x]+F[259,x]
F[259,x] = F[260,x]
F[260,x] = F[0,x]*F[187,x]*F[32,x]*F[4,x]
F[261,x] = F[262,x]
F[262,x] = F[0,x]*F[32,x]*F[4,x]*F[7,x]
F[263,x] = F[178,x]*F[4,x]
F[264,x] = F[265,x]
F[265,x] = F[0,x]*F[166,x]*F[4,x]
F[266,x] = F[267,x]
F[267,x] = F[268,x]+F[270,x]
F[268,x] = F[269,x]
F[269,x] = F[172,x]*F[4,x]
F[270,x] = F[271,x]
F[271,x] = F[272,x]*F[4,x]
F[272,x] = F[273,x]+F[274,x]
F[273,x] = F[268,x]*F[32,x]
F[274,x] = F[275,x]
F[275,x] = F[0,x]*F[276,x]*F[32,x]*F[4,x]
F[276,x] = F[277,x]+F[279,x]
F[277,x] = F[278,x]
F[278,x] = F[195,x]*F[4,x]
F[279,x] = F[280,x]
F[280,x] = F[0,x]*F[152,x]*F[4,x]
F[281,x] = F[282,x]
F[282,x] = F[25,x]*F[35,x]*F[4,x]
F[283,x] = F[4,x]*F[7,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{1}\! \left(x \right)+F_{283}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{4}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{5}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{128}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{24}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{5}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{15}\! \left(x \right)
F_{14}\! \left(x \right) = x^{2} F_{14} \left(x \right)^{2}-2 x F_{14} \left(x \right)^{2}+F_{14}\! \left(x \right) x +2 F_{14}\! \left(x \right)-1
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{17}\! \left(x \right)+F_{23}\! \left(x \right)
F_{16}\! \left(x \right) = 0
F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{4}\! \left(x \right)
F_{18}\! \left(x \right) = F_{13}\! \left(x \right)+F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{13}\! \left(x \right) F_{21}\! \left(x \right) F_{4}\! \left(x \right)
F_{21}\! \left(x \right) = F_{13}\! \left(x \right)+F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{15}\! \left(x \right)
F_{23}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{26}\! \left(x \right)+F_{281}\! \left(x \right)
F_{25}\! \left(x \right) = -F_{13}\! \left(x \right)+F_{7}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right) F_{4}\! \left(x \right)
F_{28}\! \left(x \right) = F_{102}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{25}\! \left(x \right) F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = \frac{F_{31}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{31}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{34}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = \frac{F_{33}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{33}\! \left(x \right) = F_{2}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{5}\! \left(x \right)
F_{36}\! \left(x \right) = -F_{41}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = \frac{F_{38}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{32}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)+F_{43}\! \left(x \right)
F_{42}\! \left(x \right) = F_{2}\! \left(x \right) F_{5}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{4}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{49}\! \left(x \right)
F_{46}\! \left(x \right) = F_{2}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{36}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{0}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{94}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)+F_{54}\! \left(x \right)
F_{53}\! \left(x \right) = F_{40}\! \left(x \right) F_{5}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right) F_{91}\! \left(x \right)
F_{55}\! \left(x \right) = -F_{85}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{57}\! \left(x \right) = -F_{16}\! \left(x \right)-F_{58}\! \left(x \right)+F_{40}\! \left(x \right)
F_{58}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{59}\! \left(x \right)+F_{32}\! \left(x \right)
F_{59}\! \left(x \right) = F_{4}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)+F_{84}\! \left(x \right)
F_{61}\! \left(x \right) = F_{0}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{4}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)+F_{83}\! \left(x \right)
F_{65}\! \left(x \right) = -F_{72}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{68}\! \left(x \right)
F_{67}\! \left(x \right) = F_{0}\! \left(x \right) F_{32}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{4}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{49}\! \left(x \right)+F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{0}\! \left(x \right) F_{47}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{74}\! \left(x \right)
F_{73}\! \left(x \right) = F_{0}\! \left(x \right) F_{40}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{4}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{49}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{0}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{47}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{80}\! \left(x \right)
F_{83}\! \left(x \right) = F_{73}\! \left(x \right)
F_{84}\! \left(x \right) = F_{40}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{4}\! \left(x \right) F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{51}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{0}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{4}\! \left(x \right) F_{80}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{5}\! \left(x \right)+F_{91}\! \left(x \right)
F_{94}\! \left(x \right) = F_{55}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{4}\! \left(x \right) F_{93}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{1}\! \left(x \right)+F_{100}\! \left(x \right)+F_{101}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{4}\! \left(x \right) F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{93}\! \left(x \right)+F_{95}\! \left(x \right)
F_{100}\! \left(x \right) = F_{4}\! \left(x \right) F_{97}\! \left(x \right)
F_{101}\! \left(x \right) = F_{4}\! \left(x \right) F_{97}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{32}\! \left(x \right) F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{279}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{277}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{180}\! \left(x \right)
F_{107}\! \left(x \right) = -F_{266}\! \left(x \right)+F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = F_{0}\! \left(x \right)+F_{109}\! \left(x \right)+F_{232}\! \left(x \right)+F_{264}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{4}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{253}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{252}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{7}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{4}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)+F_{250}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{128}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{120}\! \left(x \right)
F_{119}\! \left(x \right) = F_{13}\! \left(x \right) F_{7}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right) F_{4}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)+F_{126}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right) F_{7}\! \left(x \right)
F_{124}\! \left(x \right) = \frac{F_{125}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{125}\! \left(x \right) = F_{25}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{104}\! \left(x \right) F_{32}\! \left(x \right) F_{4}\! \left(x \right) F_{7}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{131}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{106}\! \left(x \right) F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right) F_{4}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{248}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)+F_{246}\! \left(x \right)
F_{135}\! \left(x \right) = -F_{139}\! \left(x \right)+F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = \frac{F_{137}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = -F_{7}\! \left(x \right)+F_{113}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{182}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)+F_{146}\! \left(x \right)+F_{244}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{145}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{5}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{11}\! \left(x \right) F_{4}\! \left(x \right)
F_{145}\! \left(x \right) = F_{138}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right) F_{4}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{150}\! \left(x \right)
F_{149}\! \left(x \right) = F_{141}\! \left(x \right) F_{30}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right) F_{32}\! \left(x \right) F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{152}\! \left(x \right) = \frac{F_{153}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = \frac{F_{155}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{155}\! \left(x \right) = -F_{16}\! \left(x \right)-F_{202}\! \left(x \right)-F_{242}\! \left(x \right)-F_{6}\! \left(x \right)+F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{159}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{106}\! \left(x \right) F_{4}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right) F_{4}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)+F_{193}\! \left(x \right)
F_{162}\! \left(x \right) = -F_{171}\! \left(x \right)+F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = \frac{F_{164}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = -F_{170}\! \left(x \right)+F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = \frac{F_{167}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{167}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{168}\! \left(x \right)-F_{169}\! \left(x \right)+F_{7}\! \left(x \right)
F_{168}\! \left(x \right) = F_{113}\! \left(x \right) F_{4}\! \left(x \right)
F_{169}\! \left(x \right) = F_{141}\! \left(x \right) F_{4}\! \left(x \right)
F_{170}\! \left(x \right) = F_{157}\! \left(x \right)+F_{5}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)+F_{193}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{180}\! \left(x \right)
F_{173}\! \left(x \right) = F_{141}\! \left(x \right)+F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right) F_{4}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)+F_{178}\! \left(x \right)
F_{177}\! \left(x \right) = F_{141}\! \left(x \right) F_{32}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{0}\! \left(x \right) F_{152}\! \left(x \right) F_{32}\! \left(x \right) F_{4}\! \left(x \right)
F_{180}\! \left(x \right) = F_{16}\! \left(x \right)+F_{181}\! \left(x \right)+F_{192}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right) F_{4}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right) F_{187}\! \left(x \right) F_{4}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)+F_{5}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = F_{0}\! \left(x \right) F_{184}\! \left(x \right) F_{4}\! \left(x \right)
F_{187}\! \left(x \right) = \frac{F_{188}\! \left(x \right)}{F_{189}\! \left(x \right) F_{4}\! \left(x \right)}
F_{188}\! \left(x \right) = F_{180}\! \left(x \right)
F_{189}\! \left(x \right) = F_{1}\! \left(x \right)+F_{190}\! \left(x \right)+F_{191}\! \left(x \right)
F_{190}\! \left(x \right) = F_{184}\! \left(x \right) F_{4}\! \left(x \right)
F_{191}\! \left(x \right) = F_{189}\! \left(x \right) F_{4}\! \left(x \right)
F_{192}\! \left(x \right) = F_{104}\! \left(x \right) F_{4}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right) F_{4}\! \left(x \right)
F_{195}\! \left(x \right) = F_{172}\! \left(x \right)+F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right) F_{4}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)+F_{200}\! \left(x \right)
F_{199}\! \left(x \right) = F_{172}\! \left(x \right) F_{32}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{0}\! \left(x \right) F_{195}\! \left(x \right) F_{32}\! \left(x \right) F_{4}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right) F_{4}\! \left(x \right)
F_{203}\! \left(x \right) = -F_{238}\! \left(x \right)-F_{240}\! \left(x \right)+F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)+F_{234}\! \left(x \right)
F_{205}\! \left(x \right) = -F_{226}\! \left(x \right)+F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = \frac{F_{207}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = -F_{0}\! \left(x \right)-F_{214}\! \left(x \right)-F_{216}\! \left(x \right)-F_{218}\! \left(x \right)+F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{166}\! \left(x \right)+F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right) F_{4}\! \left(x \right)
F_{212}\! \left(x \right) = F_{10}\! \left(x \right)+F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{128}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{7}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right) F_{4}\! \left(x \right)
F_{217}\! \left(x \right) = F_{162}\! \left(x \right)+F_{173}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right) F_{4}\! \left(x \right)
F_{219}\! \left(x \right) = F_{209}\! \left(x \right)+F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{16}\! \left(x \right)+F_{214}\! \left(x \right)+F_{222}\! \left(x \right)+F_{223}\! \left(x \right)+F_{224}\! \left(x \right)
F_{222}\! \left(x \right) = F_{205}\! \left(x \right) F_{4}\! \left(x \right)
F_{223}\! \left(x \right) = F_{162}\! \left(x \right) F_{4}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{221}\! \left(x \right) F_{4}\! \left(x \right)
F_{226}\! \left(x \right) = \frac{F_{227}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = -F_{0}\! \left(x \right)-F_{232}\! \left(x \right)-F_{233}\! \left(x \right)+F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)+F_{7}\! \left(x \right)
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = F_{10}\! \left(x \right) F_{4}\! \left(x \right)
F_{232}\! \left(x \right) = F_{173}\! \left(x \right) F_{4}\! \left(x \right)
F_{233}\! \left(x \right) = F_{209}\! \left(x \right) F_{4}\! \left(x \right)
F_{234}\! \left(x \right) = F_{16}\! \left(x \right)+F_{235}\! \left(x \right)+F_{238}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = F_{203}\! \left(x \right) F_{237}\! \left(x \right) F_{4}\! \left(x \right)
F_{237}\! \left(x \right) = -F_{32}\! \left(x \right)+F_{30}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = F_{203}\! \left(x \right) F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = F_{203}\! \left(x \right) F_{30}\! \left(x \right) F_{4}\! \left(x \right)
F_{242}\! \left(x \right) = F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = F_{156}\! \left(x \right) F_{4}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = F_{141}\! \left(x \right) F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{154}\! \left(x \right) F_{32}\! \left(x \right) F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{195}\! \left(x \right) F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{104}\! \left(x \right) F_{4}\! \left(x \right) F_{7}\! \left(x \right)
F_{252}\! \left(x \right) = F_{2}\! \left(x \right) F_{7}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right) F_{4}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right)+F_{257}\! \left(x \right)
F_{256}\! \left(x \right) = F_{112}\! \left(x \right) F_{32}\! \left(x \right)
F_{257}\! \left(x \right) = \frac{F_{258}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{258}\! \left(x \right) = -F_{261}\! \left(x \right)-F_{263}\! \left(x \right)-2 F_{16}\! \left(x \right)+F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{0}\! \left(x \right) F_{187}\! \left(x \right) F_{32}\! \left(x \right) F_{4}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{0}\! \left(x \right) F_{32}\! \left(x \right) F_{4}\! \left(x \right) F_{7}\! \left(x \right)
F_{263}\! \left(x \right) = F_{178}\! \left(x \right) F_{4}\! \left(x \right)
F_{264}\! \left(x \right) = F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{0}\! \left(x \right) F_{166}\! \left(x \right) F_{4}\! \left(x \right)
F_{266}\! \left(x \right) = F_{267}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)+F_{270}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = F_{172}\! \left(x \right) F_{4}\! \left(x \right)
F_{270}\! \left(x \right) = F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right) F_{4}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right)+F_{274}\! \left(x \right)
F_{273}\! \left(x \right) = F_{268}\! \left(x \right) F_{32}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{0}\! \left(x \right) F_{276}\! \left(x \right) F_{32}\! \left(x \right) F_{4}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)+F_{279}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = F_{195}\! \left(x \right) F_{4}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = F_{0}\! \left(x \right) F_{152}\! \left(x \right) F_{4}\! \left(x \right)
F_{281}\! \left(x \right) = F_{282}\! \left(x \right)
F_{282}\! \left(x \right) = F_{25}\! \left(x \right) F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{283}\! \left(x \right) = F_{4}\! \left(x \right) F_{7}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_1(x) + F_283(x) + F_6(x))
Eq(F_6(x), F_4(x)*F_7(x))
Eq(F_7(x), F_5(x) + F_8(x))
Eq(F_8(x), F_9(x))
Eq(F_9(x), F_10(x)*F_4(x))
Eq(F_10(x), F_11(x) + F_128(x))
Eq(F_11(x), F_12(x) + F_24(x))
Eq(F_12(x), F_13(x)*F_5(x))
Eq(F_13(x), F_14(x) + F_15(x))
Eq(F_14(x), x*(x - 2)*F_14(x)**2 + (x + 2)*F_14(x) - 1)
Eq(F_15(x), F_16(x) + F_17(x) + F_23(x))
Eq(F_16(x), 0)
Eq(F_17(x), F_18(x)*F_4(x))
Eq(F_18(x), F_13(x) + F_19(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_13(x)*F_21(x)*F_4(x))
Eq(F_21(x), F_13(x) + F_22(x))
Eq(F_22(x), F_15(x))
Eq(F_23(x), F_22(x)*F_4(x))
Eq(F_24(x), F_25(x) + F_26(x) + F_281(x))
Eq(F_25(x), -F_13(x) + F_7(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x)*F_4(x))
Eq(F_28(x), F_102(x) + F_29(x))
Eq(F_29(x), F_25(x)*F_30(x))
Eq(F_30(x), F_31(x)/F_4(x))
Eq(F_31(x), -F_1(x) + F_32(x) - F_34(x))
Eq(F_32(x), F_33(x)/F_4(x))
Eq(F_33(x), F_2(x))
Eq(F_34(x), F_35(x)*F_4(x))
Eq(F_35(x), F_36(x) + F_5(x))
Eq(F_36(x), F_37(x) - F_41(x))
Eq(F_37(x), F_38(x)/F_4(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), -F_2(x) + F_40(x))
Eq(F_40(x), -F_0(x) + F_32(x))
Eq(F_41(x), F_42(x) + F_43(x))
Eq(F_42(x), F_2(x)*F_5(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_4(x)*F_45(x))
Eq(F_45(x), F_46(x) + F_49(x))
Eq(F_46(x), F_2(x)*F_47(x))
Eq(F_47(x), F_48(x)/F_4(x))
Eq(F_48(x), F_36(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_0(x)*F_51(x))
Eq(F_51(x), F_52(x) + F_94(x))
Eq(F_52(x), F_53(x) + F_54(x))
Eq(F_53(x), F_40(x)*F_5(x))
Eq(F_54(x), F_55(x)*F_91(x))
Eq(F_55(x), F_56(x) - F_85(x))
Eq(F_56(x), F_57(x)/F_4(x))
Eq(F_57(x), -F_16(x) + F_40(x) - F_58(x))
Eq(F_58(x), -F_1(x) + F_32(x) - F_59(x))
Eq(F_59(x), F_4(x)*F_60(x))
Eq(F_60(x), F_61(x) + F_84(x))
Eq(F_61(x), F_0(x) + F_62(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_4(x)*F_64(x))
Eq(F_64(x), F_65(x) + F_83(x))
Eq(F_65(x), F_66(x) - F_72(x))
Eq(F_66(x), F_67(x) + F_68(x))
Eq(F_67(x), F_0(x)*F_32(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_4(x)*F_70(x))
Eq(F_70(x), F_49(x) + F_71(x))
Eq(F_71(x), F_0(x)*F_47(x))
Eq(F_72(x), F_73(x) + F_74(x))
Eq(F_73(x), F_0(x)*F_40(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_4(x)*F_76(x))
Eq(F_76(x), F_49(x) + F_77(x))
Eq(F_77(x), F_0(x)*F_78(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_0(x)*F_4(x)*F_80(x))
Eq(F_80(x), F_47(x) + F_81(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_0(x)*F_4(x)*F_80(x))
Eq(F_83(x), F_73(x))
Eq(F_84(x), F_40(x) + F_85(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_4(x)*F_87(x))
Eq(F_87(x), F_51(x) + F_88(x))
Eq(F_88(x), F_0(x)*F_89(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_4(x)*F_80(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_0(x)*F_4(x)*F_93(x))
Eq(F_93(x), F_5(x) + F_91(x))
Eq(F_94(x), F_55(x)*F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_4(x)*F_93(x)*F_97(x))
Eq(F_97(x), F_1(x) + F_100(x) + F_101(x) + F_98(x))
Eq(F_98(x), F_4(x)*F_99(x))
Eq(F_99(x), F_93(x) + F_95(x))
Eq(F_100(x), F_4(x)*F_97(x))
Eq(F_101(x), F_4(x)*F_97(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_32(x)*F_4(x)*F_5(x))
Eq(F_104(x), F_105(x) + F_279(x))
Eq(F_105(x), F_106(x) + F_277(x))
Eq(F_106(x), F_107(x) + F_180(x))
Eq(F_107(x), F_108(x) - F_266(x))
Eq(F_108(x), F_0(x) + F_109(x) + F_232(x) + F_264(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x)*F_4(x))
Eq(F_111(x), F_112(x) + F_253(x))
Eq(F_112(x), F_113(x) + F_252(x))
Eq(F_113(x), F_114(x) + F_7(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x)*F_4(x))
Eq(F_116(x), F_117(x) + F_250(x))
Eq(F_117(x), F_118(x) + F_128(x))
Eq(F_118(x), F_119(x) + F_120(x))
Eq(F_119(x), F_13(x)*F_7(x))
Eq(F_120(x), F_121(x))
Eq(F_121(x), F_122(x)*F_4(x))
Eq(F_122(x), F_123(x) + F_126(x))
Eq(F_123(x), F_124(x)*F_7(x))
Eq(F_124(x), F_125(x)/F_4(x))
Eq(F_125(x), F_25(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_104(x)*F_32(x)*F_4(x)*F_7(x))
Eq(F_128(x), F_129(x) + F_131(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_106(x)*F_4(x)*F_5(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_133(x)*F_4(x))
Eq(F_133(x), F_134(x) + F_248(x))
Eq(F_134(x), F_135(x) + F_246(x))
Eq(F_135(x), F_136(x) - F_139(x))
Eq(F_136(x), F_137(x)/F_4(x))
Eq(F_137(x), F_138(x))
Eq(F_138(x), F_113(x) - F_7(x))
Eq(F_139(x), F_140(x) + F_182(x))
Eq(F_140(x), F_141(x) + F_146(x) + F_244(x))
Eq(F_141(x), F_142(x) + F_145(x))
Eq(F_142(x), F_143(x) + F_5(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_11(x)*F_4(x))
Eq(F_145(x), F_138(x))
Eq(F_146(x), F_147(x))
Eq(F_147(x), F_148(x)*F_4(x))
Eq(F_148(x), F_149(x) + F_150(x))
Eq(F_149(x), F_141(x)*F_30(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_152(x)*F_32(x)*F_4(x)*F_5(x))
Eq(F_152(x), F_153(x)/F_4(x))
Eq(F_153(x), F_154(x))
Eq(F_154(x), F_155(x)/F_4(x))
Eq(F_155(x), F_156(x) - F_16(x) - F_202(x) - F_242(x) - F_6(x))
Eq(F_156(x), F_157(x) + F_159(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_106(x)*F_4(x))
Eq(F_159(x), F_160(x))
Eq(F_160(x), F_161(x)*F_4(x))
Eq(F_161(x), F_162(x) + F_193(x))
Eq(F_162(x), F_163(x) - F_171(x))
Eq(F_163(x), F_164(x)/F_4(x))
Eq(F_164(x), F_165(x))
Eq(F_165(x), F_166(x) - F_170(x))
Eq(F_166(x), F_167(x)/F_4(x))
Eq(F_167(x), -F_1(x) - F_168(x) - F_169(x) + F_7(x))
Eq(F_168(x), F_113(x)*F_4(x))
Eq(F_169(x), F_141(x)*F_4(x))
Eq(F_170(x), F_157(x) + F_5(x))
Eq(F_171(x), F_172(x) + F_193(x))
Eq(F_172(x), F_173(x) + F_180(x))
Eq(F_173(x), F_141(x) + F_174(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_176(x)*F_4(x))
Eq(F_176(x), F_177(x) + F_178(x))
Eq(F_177(x), F_141(x)*F_32(x))
Eq(F_178(x), F_179(x))
Eq(F_179(x), F_0(x)*F_152(x)*F_32(x)*F_4(x))
Eq(F_180(x), F_16(x) + F_181(x) + F_192(x))
Eq(F_181(x), F_182(x)*F_4(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_184(x)*F_187(x)*F_4(x))
Eq(F_184(x), F_185(x) + F_5(x))
Eq(F_185(x), F_186(x))
Eq(F_186(x), F_0(x)*F_184(x)*F_4(x))
Eq(F_187(x), F_188(x)/(F_189(x)*F_4(x)))
Eq(F_188(x), F_180(x))
Eq(F_189(x), F_1(x) + F_190(x) + F_191(x))
Eq(F_190(x), F_184(x)*F_4(x))
Eq(F_191(x), F_189(x)*F_4(x))
Eq(F_192(x), F_104(x)*F_4(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_195(x)*F_4(x))
Eq(F_195(x), F_172(x) + F_196(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_198(x)*F_4(x))
Eq(F_198(x), F_199(x) + F_200(x))
Eq(F_199(x), F_172(x)*F_32(x))
Eq(F_200(x), F_201(x))
Eq(F_201(x), F_0(x)*F_195(x)*F_32(x)*F_4(x))
Eq(F_202(x), F_203(x)*F_4(x))
Eq(F_203(x), F_204(x) - F_238(x) - F_240(x))
Eq(F_204(x), F_205(x) + F_234(x))
Eq(F_205(x), F_206(x) - F_226(x))
Eq(F_206(x), F_207(x)/F_4(x))
Eq(F_207(x), F_208(x))
Eq(F_208(x), -F_0(x) + F_209(x) - F_214(x) - F_216(x) - F_218(x))
Eq(F_209(x), F_166(x) + F_210(x))
Eq(F_210(x), F_211(x))
Eq(F_211(x), F_212(x)*F_4(x))
Eq(F_212(x), F_10(x) + F_213(x))
Eq(F_213(x), F_128(x))
Eq(F_214(x), F_215(x))
Eq(F_215(x), F_0(x)*F_4(x)*F_7(x))
Eq(F_216(x), F_217(x)*F_4(x))
Eq(F_217(x), F_162(x) + F_173(x))
Eq(F_218(x), F_219(x)*F_4(x))
Eq(F_219(x), F_209(x) + F_220(x))
Eq(F_220(x), F_221(x))
Eq(F_221(x), F_16(x) + F_214(x) + F_222(x) + F_223(x) + F_224(x))
Eq(F_222(x), F_205(x)*F_4(x))
Eq(F_223(x), F_162(x)*F_4(x))
Eq(F_224(x), F_225(x))
Eq(F_225(x), F_221(x)*F_4(x))
Eq(F_226(x), F_227(x)/F_4(x))
Eq(F_227(x), F_228(x))
Eq(F_228(x), -F_0(x) + F_229(x) - F_232(x) - F_233(x))
Eq(F_229(x), F_230(x) + F_7(x))
Eq(F_230(x), F_231(x))
Eq(F_231(x), F_10(x)*F_4(x))
Eq(F_232(x), F_173(x)*F_4(x))
Eq(F_233(x), F_209(x)*F_4(x))
Eq(F_234(x), F_16(x) + F_235(x) + F_238(x))
Eq(F_235(x), F_236(x))
Eq(F_236(x), F_203(x)*F_237(x)*F_4(x))
Eq(F_237(x), F_30(x) - F_32(x))
Eq(F_238(x), F_239(x))
Eq(F_239(x), F_203(x)*F_35(x)*F_4(x))
Eq(F_240(x), F_241(x))
Eq(F_241(x), F_203(x)*F_30(x)*F_4(x))
Eq(F_242(x), F_243(x))
Eq(F_243(x), F_156(x)*F_4(x))
Eq(F_244(x), F_245(x))
Eq(F_245(x), F_141(x)*F_35(x)*F_4(x))
Eq(F_246(x), F_247(x))
Eq(F_247(x), F_154(x)*F_32(x)*F_4(x)*F_5(x))
Eq(F_248(x), F_249(x))
Eq(F_249(x), F_195(x)*F_4(x)*F_5(x))
Eq(F_250(x), F_251(x))
Eq(F_251(x), F_104(x)*F_4(x)*F_7(x))
Eq(F_252(x), F_2(x)*F_7(x))
Eq(F_253(x), F_254(x))
Eq(F_254(x), F_255(x)*F_4(x))
Eq(F_255(x), F_256(x) + F_257(x))
Eq(F_256(x), F_112(x)*F_32(x))
Eq(F_257(x), F_258(x)/F_4(x))
Eq(F_258(x), -2*F_16(x) + F_259(x) - F_261(x) - F_263(x))
Eq(F_259(x), F_260(x))
Eq(F_260(x), F_0(x)*F_187(x)*F_32(x)*F_4(x))
Eq(F_261(x), F_262(x))
Eq(F_262(x), F_0(x)*F_32(x)*F_4(x)*F_7(x))
Eq(F_263(x), F_178(x)*F_4(x))
Eq(F_264(x), F_265(x))
Eq(F_265(x), F_0(x)*F_166(x)*F_4(x))
Eq(F_266(x), F_267(x))
Eq(F_267(x), F_268(x) + F_270(x))
Eq(F_268(x), F_269(x))
Eq(F_269(x), F_172(x)*F_4(x))
Eq(F_270(x), F_271(x))
Eq(F_271(x), F_272(x)*F_4(x))
Eq(F_272(x), F_273(x) + F_274(x))
Eq(F_273(x), F_268(x)*F_32(x))
Eq(F_274(x), F_275(x))
Eq(F_275(x), F_0(x)*F_276(x)*F_32(x)*F_4(x))
Eq(F_276(x), F_277(x) + F_279(x))
Eq(F_277(x), F_278(x))
Eq(F_278(x), F_195(x)*F_4(x))
Eq(F_279(x), F_280(x))
Eq(F_280(x), F_0(x)*F_152(x)*F_4(x))
Eq(F_281(x), F_282(x))
Eq(F_282(x), F_25(x)*F_35(x)*F_4(x))
Eq(F_283(x), F_4(x)*F_7(x))
Pack JSON:
{"name": "point_and_col_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": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "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}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": false, "place_col": true}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"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": [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]]}], "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, 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": [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": [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": 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"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, 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": [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": [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]]}, 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{"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]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}]}}, "idx": 1}, {"class_module": 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[0, 3, 2, 1], "pos": [[1, 0], [1, 3], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[3, 0], [3, 4], [3, 0], [3, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[1, 3], [1, 0], [1, 3], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[1, 3], [1, 0], [1, 3], [3, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 1], [1, 1], [1, 3], [1, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 4], [1, 4], [3, 4], [3, 4]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 4], [3, 4], [3, 4], [3, 4]]}, {"patt": [2, 1, 3, 0], "pos": [[3, 4], [3, 4], [3, 4], [3, 4]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 1], [1, 3], [1, 1], [1, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 4], [3, 4], [3, 4], [3, 4]]}, {"patt": [2, 3, 0, 1], "pos": [[3, 4], [3, 4], [3, 4], [3, 4]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 1], [1, 3], [1, 1], [1, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 4], [3, 4], [3, 4], [3, 4]]}, {"patt": [2, 3, 1, 0], "pos": [[3, 4], [3, 4], [3, 4], [3, 4]]}, {"patt": [3, 0, 2, 1], "pos": [[1, 1], [1, 0], [1, 1], [3, 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": [[0, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [1, 1], [1, 1], [1, 3], [1, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [1, 1], [1, 1], [1, 3], [1, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[3, 0], [3, 4], [3, 4], [3, 4], [3, 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": [[0, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [1, 1], [1, 3], [1, 0], [1, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 1], [1, 3], [1, 0], [1, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[3, 0], [3, 4], [3, 4], [3, 0], [3, 4]]}, {"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], [1, 1], [1, 1], [1, 1], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [1, 1], [1, 3], [1, 1], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 1], [1, 3], [1, 1], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[3, 0], [3, 4], [3, 4], [3, 4], [3, 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": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 1], [1, 0], [1, 1], [1, 3], [1, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 4], [3, 0], [3, 4], [3, 4], [3, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[3, 4], [3, 0], [3, 4], [3, 4], [3, 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": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 1], [1, 0], [1, 3], [1, 0], [1, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[3, 4], [3, 0], [3, 4], [3, 0], [3, 4]]}, {"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], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 1], [1, 0], [1, 3], [1, 1], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 4], [3, 0], [3, 4], [3, 4], [3, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[3, 4], [3, 0], [3, 4], [3, 4], [3, 0]]}], "requirements": [[{"patt": [0], "pos": [[2, 2]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[1, 1]]}], "indices": [0], "direction": 0, "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": [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, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1]], "symmetry": false}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/24971/
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[36,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[36,x]*F[8,x]
F[8,x] = F[11,x]+F[9,x]
F[9,x] = F[10,x]*F[4,x]
F[10,x] = (x*F[10,x]+x-2*F[10,x])*(x*F[10,x]+x-1)
F[11,x] = F[12,x]+F[79,x]
F[12,x] = F[13,x]
F[13,x] = F[14,x]*F[36,x]
F[14,x] = F[15,x]+F[161,x]
F[15,x] = 1/F[0,x]/F[36,x]*F[16,x]
F[16,x] = F[17,x]
F[17,x] = -F[160,x]+F[18,x]
F[18,x] = F[19,x]+F[76,x]
F[19,x] = F[0,x]+F[20,x]
F[20,x] = F[21,x]
F[21,x] = F[22,x]*F[36,x]
F[22,x] = F[18,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[25,x]*F[36,x]
F[25,x] = F[26,x]+F[74,x]
F[26,x] = F[27,x]+F[29,x]
F[27,x] = F[22,x]*F[28,x]
F[28,x] = -1+(x^2-2*x)*F[28,x]^2+(2+x)*F[28,x]
F[29,x] = F[30,x]
F[30,x] = F[31,x]*F[36,x]
F[31,x] = F[32,x]+F[33,x]
F[32,x] = F[15,x]*F[22,x]
F[33,x] = F[0,x]*F[34,x]*F[51,x]
F[34,x] = F[35,x]
F[35,x] = F[19,x]*F[36,x]*F[37,x]
F[36,x] = x
F[37,x] = F[38,x]+F[44,x]
F[38,x] = F[39,x]+F[42,x]
F[39,x] = F[1,x]+F[40,x]
F[40,x] = F[41,x]
F[41,x] = F[36,x]*F[39,x]
F[42,x] = F[43,x]
F[43,x] = F[36,x]*F[37,x]*F[39,x]
F[44,x] = F[45,x]
F[45,x] = F[46,x]
F[46,x] = F[36,x]*F[47,x]
F[47,x] = F[22,x]+F[48,x]
F[48,x] = F[45,x]+F[49,x]
F[49,x] = F[50,x]
F[50,x] = F[2,x]*F[36,x]*F[47,x]
F[51,x] = 1/F[57,x]*F[52,x]
F[52,x] = -F[56,x]+F[53,x]
F[53,x] = 1/F[36,x]*F[54,x]
F[54,x] = F[55,x]
F[55,x] = -F[17,x]+F[11,x]
F[56,x] = F[15,x]*F[5,x]
F[57,x] = F[5,x]+F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[0,x]*F[36,x]*F[60,x]
F[60,x] = F[61,x]+F[66,x]
F[61,x] = F[62,x]
F[62,x] = F[36,x]*F[63,x]
F[63,x] = F[64,x]+F[65,x]
F[64,x] = F[19,x]+F[45,x]
F[65,x] = F[2,x]*F[37,x]
F[66,x] = F[67,x]+F[73,x]
F[67,x] = F[68,x]+F[69,x]
F[68,x] = F[2,x]+F[6,x]
F[69,x] = F[70,x]
F[70,x] = F[2,x]*F[36,x]*F[71,x]
F[71,x] = F[57,x]+F[72,x]
F[72,x] = F[0,x]*F[4,x]
F[73,x] = F[2,x]*F[68,x]
F[74,x] = F[75,x]
F[75,x] = F[36,x]*F[47,x]*F[51,x]
F[76,x] = -F[152,x]+F[77,x]
F[77,x] = F[78,x]+F[79,x]
F[78,x] = F[28,x]*F[68,x]
F[79,x] = F[80,x]+F[90,x]
F[80,x] = F[81,x]
F[81,x] = F[36,x]*F[82,x]
F[82,x] = F[83,x]+F[89,x]
F[83,x] = F[67,x]*F[84,x]
F[84,x] = F[0,x]+F[85,x]
F[85,x] = F[86,x]
F[86,x] = F[0,x]*F[36,x]*F[87,x]
F[87,x] = F[4,x]+F[88,x]
F[88,x] = F[2,x]*F[84,x]
F[89,x] = F[68,x]*F[87,x]
F[90,x] = F[91,x]
F[91,x] = F[36,x]*F[92,x]
F[92,x] = F[100,x]+F[93,x]
F[93,x] = F[80,x]*F[94,x]
F[94,x] = F[28,x]+F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[28,x]*F[36,x]*F[97,x]
F[97,x] = F[94,x]+F[98,x]
F[98,x] = F[99,x]
F[99,x] = -F[28,x]+F[94,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[36,x]
F[102,x] = F[103,x]+F[120,x]
F[103,x] = F[104,x]*F[105,x]
F[104,x] = F[68,x]+F[80,x]
F[105,x] = 1/F[36,x]*F[106,x]
F[106,x] = F[107,x]
F[107,x] = -F[112,x]+F[108,x]
F[108,x] = 1/F[36,x]*F[109,x]
F[109,x] = F[110,x]
F[110,x] = -F[2,x]+F[111,x]
F[111,x] = -F[28,x]+F[19,x]
F[112,x] = F[113,x]+F[114,x]
F[113,x] = F[0,x]*F[10,x]
F[114,x] = F[115,x]
F[115,x] = F[116,x]*F[36,x]
F[116,x] = F[117,x]+F[118,x]
F[117,x] = F[68,x]*F[94,x]
F[118,x] = F[119,x]
F[119,x] = F[105,x]*F[36,x]*F[4,x]
F[120,x] = F[0,x]*F[121,x]*F[66,x]
F[121,x] = 1/F[2,x]*F[122,x]
F[122,x] = -F[123,x]+F[105,x]
F[123,x] = 1/F[36,x]*F[124,x]
F[124,x] = F[125,x]
F[125,x] = F[111,x]+F[126,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]*F[36,x]
F[128,x] = F[129,x]+F[130,x]
F[129,x] = F[111,x]*F[97,x]
F[130,x] = F[131,x]+F[150,x]
F[131,x] = F[132,x]+F[134,x]
F[132,x] = F[133,x]
F[133,x] = F[0,x]*F[105,x]*F[36,x]
F[134,x] = -F[148,x]+F[135,x]
F[135,x] = -F[141,x]+F[136,x]
F[136,x] = 1/F[36,x]*F[137,x]
F[137,x] = F[138,x]
F[138,x] = -F[140,x]+F[139,x]
F[139,x] = -F[17,x]+F[132,x]
F[140,x] = -F[85,x]+F[17,x]
F[141,x] = F[142,x]+F[143,x]
F[142,x] = F[140,x]*F[97,x]
F[143,x] = F[144,x]
F[144,x] = F[145,x]*F[146,x]*F[36,x]
F[145,x] = F[113,x]+F[140,x]
F[146,x] = 1/F[19,x]/F[36,x]*F[147,x]
F[147,x] = F[130,x]
F[148,x] = F[149,x]
F[149,x] = F[121,x]*F[36,x]*F[85,x]
F[150,x] = F[151,x]
F[151,x] = F[146,x]*F[20,x]*F[36,x]
F[152,x] = F[153,x]+F[154,x]
F[153,x] = F[28,x]*F[6,x]
F[154,x] = F[155,x]
F[155,x] = F[156,x]*F[36,x]
F[156,x] = F[157,x]+F[159,x]
F[157,x] = F[158,x]*F[51,x]
F[158,x] = F[6,x]+F[69,x]
F[159,x] = F[15,x]*F[6,x]
F[160,x] = F[0,x]*F[28,x]
F[161,x] = F[162,x]
F[162,x] = F[163,x]*F[36,x]
F[163,x] = F[164,x]+F[52,x]
F[164,x] = F[15,x]*F[4,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_{36}\! \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_{36}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{11}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = x^{2} F_{10} \left(x \right)^{2}+2 F_{10}\! \left(x \right) x^{2}-2 x F_{10} \left(x \right)^{2}+x^{2}-3 x F_{10}\! \left(x \right)-x +2 F_{10}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{79}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{36}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{161}\! \left(x \right)
F_{15}\! \left(x \right) = \frac{F_{16}\! \left(x \right)}{F_{0}\! \left(x \right) F_{36}\! \left(x \right)}
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = -F_{160}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{76}\! \left(x \right)
F_{19}\! \left(x \right) = F_{0}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{36}\! \left(x \right)
F_{22}\! \left(x \right) = F_{18}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right) F_{36}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{74}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{29}\! \left(x \right)
F_{27}\! \left(x \right) = F_{22}\! \left(x \right) F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = x^{2} F_{28} \left(x \right)^{2}-2 x F_{28} \left(x \right)^{2}+F_{28}\! \left(x \right) x +2 F_{28}\! \left(x \right)-1
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right) F_{36}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{33}\! \left(x \right)
F_{32}\! \left(x \right) = F_{15}\! \left(x \right) F_{22}\! \left(x \right)
F_{33}\! \left(x \right) = F_{0}\! \left(x \right) F_{34}\! \left(x \right) F_{51}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{19}\! \left(x \right) F_{36}\! \left(x \right) F_{37}\! \left(x \right)
F_{36}\! \left(x \right) = x
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{44}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{42}\! \left(x \right)
F_{39}\! \left(x \right) = F_{1}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{36}\! \left(x \right) F_{39}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{36}\! \left(x \right) F_{37}\! \left(x \right) F_{39}\! \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_{36}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{22}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{45}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{2}\! \left(x \right) F_{36}\! \left(x \right) F_{47}\! \left(x \right)
F_{51}\! \left(x \right) = \frac{F_{52}\! \left(x \right)}{F_{57}\! \left(x \right)}
F_{52}\! \left(x \right) = -F_{56}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = \frac{F_{54}\! \left(x \right)}{F_{36}\! \left(x \right)}
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = -F_{17}\! \left(x \right)+F_{11}\! \left(x \right)
F_{56}\! \left(x \right) = F_{15}\! \left(x \right) F_{5}\! \left(x \right)
F_{57}\! \left(x \right) = F_{5}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{0}\! \left(x \right) F_{36}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)+F_{66}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{36}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{65}\! \left(x \right)
F_{64}\! \left(x \right) = F_{19}\! \left(x \right)+F_{45}\! \left(x \right)
F_{65}\! \left(x \right) = F_{2}\! \left(x \right) F_{37}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{73}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{69}\! \left(x \right)
F_{68}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{2}\! \left(x \right) F_{36}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{57}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right)
F_{73}\! \left(x \right) = F_{2}\! \left(x \right) F_{68}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{36}\! \left(x \right) F_{47}\! \left(x \right) F_{51}\! \left(x \right)
F_{76}\! \left(x \right) = -F_{152}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{79}\! \left(x \right)
F_{78}\! \left(x \right) = F_{28}\! \left(x \right) F_{68}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)+F_{90}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{36}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)+F_{89}\! \left(x \right)
F_{83}\! \left(x \right) = F_{67}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{0}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{0}\! \left(x \right) F_{36}\! \left(x \right) F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{4}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{2}\! \left(x \right) F_{84}\! \left(x \right)
F_{89}\! \left(x \right) = F_{68}\! \left(x \right) F_{87}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{36}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{100}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{80}\! \left(x \right) F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{28}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{28}\! \left(x \right) F_{36}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{94}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = -F_{28}\! \left(x \right)+F_{94}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{36}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{120}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{105}\! \left(x \right)
F_{104}\! \left(x \right) = F_{68}\! \left(x \right)+F_{80}\! \left(x \right)
F_{105}\! \left(x \right) = \frac{F_{106}\! \left(x \right)}{F_{36}\! \left(x \right)}
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = -F_{112}\! \left(x \right)+F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = \frac{F_{109}\! \left(x \right)}{F_{36}\! \left(x \right)}
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = -F_{28}\! \left(x \right)+F_{19}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{114}\! \left(x \right)
F_{113}\! \left(x \right) = F_{0}\! \left(x \right) F_{10}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{36}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)+F_{118}\! \left(x \right)
F_{117}\! \left(x \right) = F_{68}\! \left(x \right) F_{94}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{105}\! \left(x \right) F_{36}\! \left(x \right) F_{4}\! \left(x \right)
F_{120}\! \left(x \right) = F_{0}\! \left(x \right) F_{121}\! \left(x \right) F_{66}\! \left(x \right)
F_{121}\! \left(x \right) = \frac{F_{122}\! \left(x \right)}{F_{2}\! \left(x \right)}
F_{122}\! \left(x \right) = -F_{123}\! \left(x \right)+F_{105}\! \left(x \right)
F_{123}\! \left(x \right) = \frac{F_{124}\! \left(x \right)}{F_{36}\! \left(x \right)}
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{111}\! \left(x \right)+F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{36}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{130}\! \left(x \right)
F_{129}\! \left(x \right) = F_{111}\! \left(x \right) F_{97}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{150}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{134}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{0}\! \left(x \right) F_{105}\! \left(x \right) F_{36}\! \left(x \right)
F_{134}\! \left(x \right) = -F_{148}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = -F_{141}\! \left(x \right)+F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = \frac{F_{137}\! \left(x \right)}{F_{36}\! \left(x \right)}
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = -F_{140}\! \left(x \right)+F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = -F_{17}\! \left(x \right)+F_{132}\! \left(x \right)
F_{140}\! \left(x \right) = -F_{85}\! \left(x \right)+F_{17}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{143}\! \left(x \right)
F_{142}\! \left(x \right) = F_{140}\! \left(x \right) F_{97}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{146}\! \left(x \right) F_{36}\! \left(x \right)
F_{145}\! \left(x \right) = F_{113}\! \left(x \right)+F_{140}\! \left(x \right)
F_{146}\! \left(x \right) = \frac{F_{147}\! \left(x \right)}{F_{19}\! \left(x \right) F_{36}\! \left(x \right)}
F_{147}\! \left(x \right) = F_{130}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{121}\! \left(x \right) F_{36}\! \left(x \right) F_{85}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{146}\! \left(x \right) F_{20}\! \left(x \right) F_{36}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)+F_{154}\! \left(x \right)
F_{153}\! \left(x \right) = F_{28}\! \left(x \right) F_{6}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right) F_{36}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{159}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{51}\! \left(x \right)
F_{158}\! \left(x \right) = F_{6}\! \left(x \right)+F_{69}\! \left(x \right)
F_{159}\! \left(x \right) = F_{15}\! \left(x \right) F_{6}\! \left(x \right)
F_{160}\! \left(x \right) = F_{0}\! \left(x \right) F_{28}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right) F_{36}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{52}\! \left(x \right)
F_{164}\! \left(x \right) = F_{15}\! \left(x \right) F_{4}\! \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_36(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_36(x)*F_8(x))
Eq(F_8(x), F_11(x) + F_9(x))
Eq(F_9(x), F_10(x)*F_4(x))
Eq(F_10(x), x*(x - 2)*(F_10(x) + 1)**2 + (x + 1)*(F_10(x) + 1) + F_10(x) - 1)
Eq(F_11(x), F_12(x) + F_79(x))
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_14(x)*F_36(x))
Eq(F_14(x), F_15(x) + F_161(x))
Eq(F_15(x), F_16(x)/(F_0(x)*F_36(x)))
Eq(F_16(x), F_17(x))
Eq(F_17(x), -F_160(x) + F_18(x))
Eq(F_18(x), F_19(x) + F_76(x))
Eq(F_19(x), F_0(x) + F_20(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_22(x)*F_36(x))
Eq(F_22(x), F_18(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_25(x)*F_36(x))
Eq(F_25(x), F_26(x) + F_74(x))
Eq(F_26(x), F_27(x) + F_29(x))
Eq(F_27(x), F_22(x)*F_28(x))
Eq(F_28(x), x*(x - 2)*F_28(x)**2 + (x + 2)*F_28(x) - 1)
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_31(x)*F_36(x))
Eq(F_31(x), F_32(x) + F_33(x))
Eq(F_32(x), F_15(x)*F_22(x))
Eq(F_33(x), F_0(x)*F_34(x)*F_51(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_19(x)*F_36(x)*F_37(x))
Eq(F_36(x), x)
Eq(F_37(x), F_38(x) + F_44(x))
Eq(F_38(x), F_39(x) + F_42(x))
Eq(F_39(x), F_1(x) + F_40(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_36(x)*F_39(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_36(x)*F_37(x)*F_39(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_36(x)*F_47(x))
Eq(F_47(x), F_22(x) + F_48(x))
Eq(F_48(x), F_45(x) + F_49(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_2(x)*F_36(x)*F_47(x))
Eq(F_51(x), F_52(x)/F_57(x))
Eq(F_52(x), F_53(x) - F_56(x))
Eq(F_53(x), F_54(x)/F_36(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_11(x) - F_17(x))
Eq(F_56(x), F_15(x)*F_5(x))
Eq(F_57(x), F_5(x) + F_58(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_0(x)*F_36(x)*F_60(x))
Eq(F_60(x), F_61(x) + F_66(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_36(x)*F_63(x))
Eq(F_63(x), F_64(x) + F_65(x))
Eq(F_64(x), F_19(x) + F_45(x))
Eq(F_65(x), F_2(x)*F_37(x))
Eq(F_66(x), F_67(x) + F_73(x))
Eq(F_67(x), F_68(x) + F_69(x))
Eq(F_68(x), F_2(x) + F_6(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_2(x)*F_36(x)*F_71(x))
Eq(F_71(x), F_57(x) + F_72(x))
Eq(F_72(x), F_0(x)*F_4(x))
Eq(F_73(x), F_2(x)*F_68(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_36(x)*F_47(x)*F_51(x))
Eq(F_76(x), -F_152(x) + F_77(x))
Eq(F_77(x), F_78(x) + F_79(x))
Eq(F_78(x), F_28(x)*F_68(x))
Eq(F_79(x), F_80(x) + F_90(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_36(x)*F_82(x))
Eq(F_82(x), F_83(x) + F_89(x))
Eq(F_83(x), F_67(x)*F_84(x))
Eq(F_84(x), F_0(x) + F_85(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_0(x)*F_36(x)*F_87(x))
Eq(F_87(x), F_4(x) + F_88(x))
Eq(F_88(x), F_2(x)*F_84(x))
Eq(F_89(x), F_68(x)*F_87(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_36(x)*F_92(x))
Eq(F_92(x), F_100(x) + F_93(x))
Eq(F_93(x), F_80(x)*F_94(x))
Eq(F_94(x), F_28(x) + F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_28(x)*F_36(x)*F_97(x))
Eq(F_97(x), F_94(x) + F_98(x))
Eq(F_98(x), F_99(x))
Eq(F_99(x), -F_28(x) + F_94(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_36(x))
Eq(F_102(x), F_103(x) + F_120(x))
Eq(F_103(x), F_104(x)*F_105(x))
Eq(F_104(x), F_68(x) + F_80(x))
Eq(F_105(x), F_106(x)/F_36(x))
Eq(F_106(x), F_107(x))
Eq(F_107(x), F_108(x) - F_112(x))
Eq(F_108(x), F_109(x)/F_36(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x) - F_2(x))
Eq(F_111(x), F_19(x) - F_28(x))
Eq(F_112(x), F_113(x) + F_114(x))
Eq(F_113(x), F_0(x)*F_10(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x)*F_36(x))
Eq(F_116(x), F_117(x) + F_118(x))
Eq(F_117(x), F_68(x)*F_94(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_105(x)*F_36(x)*F_4(x))
Eq(F_120(x), F_0(x)*F_121(x)*F_66(x))
Eq(F_121(x), F_122(x)/F_2(x))
Eq(F_122(x), F_105(x) - F_123(x))
Eq(F_123(x), F_124(x)/F_36(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_111(x) + F_126(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x)*F_36(x))
Eq(F_128(x), F_129(x) + F_130(x))
Eq(F_129(x), F_111(x)*F_97(x))
Eq(F_130(x), F_131(x) + F_150(x))
Eq(F_131(x), F_132(x) + F_134(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_0(x)*F_105(x)*F_36(x))
Eq(F_134(x), F_135(x) - F_148(x))
Eq(F_135(x), F_136(x) - F_141(x))
Eq(F_136(x), F_137(x)/F_36(x))
Eq(F_137(x), F_138(x))
Eq(F_138(x), F_139(x) - F_140(x))
Eq(F_139(x), F_132(x) - F_17(x))
Eq(F_140(x), F_17(x) - F_85(x))
Eq(F_141(x), F_142(x) + F_143(x))
Eq(F_142(x), F_140(x)*F_97(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_145(x)*F_146(x)*F_36(x))
Eq(F_145(x), F_113(x) + F_140(x))
Eq(F_146(x), F_147(x)/(F_19(x)*F_36(x)))
Eq(F_147(x), F_130(x))
Eq(F_148(x), F_149(x))
Eq(F_149(x), F_121(x)*F_36(x)*F_85(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_146(x)*F_20(x)*F_36(x))
Eq(F_152(x), F_153(x) + F_154(x))
Eq(F_153(x), F_28(x)*F_6(x))
Eq(F_154(x), F_155(x))
Eq(F_155(x), F_156(x)*F_36(x))
Eq(F_156(x), F_157(x) + F_159(x))
Eq(F_157(x), F_158(x)*F_51(x))
Eq(F_158(x), F_6(x) + F_69(x))
Eq(F_159(x), F_15(x)*F_6(x))
Eq(F_160(x), F_0(x)*F_28(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_163(x)*F_36(x))
Eq(F_163(x), F_164(x) + F_52(x))
Eq(F_164(x), F_15(x)*F_4(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, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 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": [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]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [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": [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, 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, 1], [0, 1], [0, 1], [0, 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": [[0, 0], [0, 1], [0, 1], [0, 0], [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, 1], [0, 1], [0, 1], [0, 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": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 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": [[0, 1], [0, 0], [0, 1], [0, 0], [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, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"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": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [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": [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, 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, 1], [0, 1], [0, 1], [0, 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": [[0, 0], [0, 1], [0, 1], [0, 0], [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, 1], [0, 1], [0, 1], [0, 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": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 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": [[0, 1], [0, 0], [0, 1], [0, 0], [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, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}]}}, "idx": 1}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [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": [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, 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, 1], [0, 1], [0, 1], [0, 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": [[0, 0], [0, 1], [0, 1], [0, 0], [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, 1], [0, 1], [0, 1], [0, 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": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 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": [[0, 1], [0, 0], [0, 1], [0, 0], [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, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"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": [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]]}], "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, 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": [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, 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, 1], [0, 1], [0, 1], [0, 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": [[0, 0], [0, 1], [0, 1], [0, 0], [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, 1], [0, 1], [0, 1], [0, 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": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 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": [[0, 1], [0, 0], [0, 1], [0, 0], [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, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}]}}, "idx": 1}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 2], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [2, 2], [2, 0]]}, {"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, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], 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{"patt": [3, 0, 2, 4, 1], "pos": [[1, 4], [1, 4], [1, 4], [1, 4], [1, 4]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 4], [3, 4], [3, 4], [3, 4], [3, 4]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[3, 4], [3, 4], [3, 4], [3, 4], [3, 4]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[5, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[5, 5], [7, 0], [7, 5], [7, 5], [7, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[5, 6], [7, 0], [7, 6], [7, 6], [7, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[7, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[7, 5], [7, 0], [7, 5], [7, 5], [7, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[7, 6], [7, 0], [7, 6], [7, 6], [7, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [3, 4]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 4], [1, 4], [1, 4], [1, 4], [1, 4]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 4], [3, 4], [3, 4], [3, 4], [3, 4]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 4], [1, 4], [1, 4], [1, 4], [1, 4]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 4], [3, 4], [3, 4], [3, 4], [3, 4]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[3, 4], [3, 4], [3, 4], [3, 4], [3, 4]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [7, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[5, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[5, 5], [7, 0], [7, 5], [7, 0], [7, 5]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[5, 6], [7, 0], [7, 6], [7, 0], [7, 6]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[7, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[7, 5], [7, 0], [7, 5], [7, 0], [7, 5]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[7, 6], [7, 0], [7, 6], [7, 0], [7, 6]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 4], [1, 4], [1, 4], [1, 4], [1, 4]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 4], [3, 4], [3, 4], [3, 4], [3, 4]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 4], [1, 4], [1, 4], [1, 4], [1, 4]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 4], [3, 4], [3, 4], [3, 4], [3, 4]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[3, 4], [3, 4], [3, 4], [3, 4], [3, 4]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[4, 1], [4, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[5, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[5, 5], [7, 0], [7, 5], [7, 5], [7, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[5, 6], [7, 0], [7, 6], [7, 6], [7, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[7, 0], [7, 0], [7, 0], [7, 0], [7, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[7, 5], [7, 0], [7, 5], [7, 5], [7, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[7, 6], [7, 0], [7, 6], [7, 6], [7, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 4]]}, {"patt": [0], "pos": [[2, 2]]}], [{"patt": [0], "pos": [[6, 3]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": 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": [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, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"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, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1]], "symmetry": false}}]}
Specification 3
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25792/
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[36,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[36,x]*F[8,x]
F[8,x] = F[11,x]+F[9,x]
F[9,x] = F[10,x]*F[4,x]
F[10,x] = (x*F[10,x]+x-2*F[10,x])*(x*F[10,x]+x-1)
F[11,x] = F[12,x]+F[79,x]
F[12,x] = F[13,x]
F[13,x] = F[14,x]*F[36,x]
F[14,x] = F[15,x]+F[161,x]
F[15,x] = 1/F[0,x]/F[36,x]*F[16,x]
F[16,x] = F[17,x]
F[17,x] = -F[160,x]+F[18,x]
F[18,x] = F[19,x]+F[76,x]
F[19,x] = F[0,x]+F[20,x]
F[20,x] = F[21,x]
F[21,x] = F[22,x]*F[36,x]
F[22,x] = F[18,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[25,x]*F[36,x]
F[25,x] = F[26,x]+F[74,x]
F[26,x] = F[27,x]+F[29,x]
F[27,x] = F[22,x]*F[28,x]
F[28,x] = -1+(x^2-2*x)*F[28,x]^2+(2+x)*F[28,x]
F[29,x] = F[30,x]
F[30,x] = F[31,x]*F[36,x]
F[31,x] = F[32,x]+F[33,x]
F[32,x] = F[15,x]*F[22,x]
F[33,x] = F[0,x]*F[34,x]*F[51,x]
F[34,x] = F[35,x]
F[35,x] = F[19,x]*F[36,x]*F[37,x]
F[36,x] = x
F[37,x] = F[38,x]+F[44,x]
F[38,x] = F[39,x]+F[42,x]
F[39,x] = F[1,x]+F[40,x]
F[40,x] = F[41,x]
F[41,x] = F[36,x]*F[39,x]
F[42,x] = F[43,x]
F[43,x] = F[36,x]*F[37,x]*F[39,x]
F[44,x] = F[45,x]
F[45,x] = F[46,x]
F[46,x] = F[36,x]*F[47,x]
F[47,x] = F[22,x]+F[48,x]
F[48,x] = F[45,x]+F[49,x]
F[49,x] = F[50,x]
F[50,x] = F[2,x]*F[36,x]*F[47,x]
F[51,x] = 1/F[57,x]*F[52,x]
F[52,x] = -F[56,x]+F[53,x]
F[53,x] = 1/F[36,x]*F[54,x]
F[54,x] = F[55,x]
F[55,x] = -F[17,x]+F[11,x]
F[56,x] = F[15,x]*F[5,x]
F[57,x] = F[5,x]+F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[0,x]*F[36,x]*F[60,x]
F[60,x] = F[61,x]+F[66,x]
F[61,x] = F[62,x]
F[62,x] = F[36,x]*F[63,x]
F[63,x] = F[64,x]+F[65,x]
F[64,x] = F[19,x]+F[45,x]
F[65,x] = F[2,x]*F[37,x]
F[66,x] = F[67,x]+F[73,x]
F[67,x] = F[68,x]+F[69,x]
F[68,x] = F[2,x]+F[6,x]
F[69,x] = F[70,x]
F[70,x] = F[2,x]*F[36,x]*F[71,x]
F[71,x] = F[57,x]+F[72,x]
F[72,x] = F[0,x]*F[4,x]
F[73,x] = F[2,x]*F[68,x]
F[74,x] = F[75,x]
F[75,x] = F[36,x]*F[47,x]*F[51,x]
F[76,x] = -F[152,x]+F[77,x]
F[77,x] = F[78,x]+F[79,x]
F[78,x] = F[28,x]*F[68,x]
F[79,x] = F[80,x]+F[90,x]
F[80,x] = F[81,x]
F[81,x] = F[36,x]*F[82,x]
F[82,x] = F[83,x]+F[89,x]
F[83,x] = F[67,x]*F[84,x]
F[84,x] = F[0,x]+F[85,x]
F[85,x] = F[86,x]
F[86,x] = F[0,x]*F[36,x]*F[87,x]
F[87,x] = F[4,x]+F[88,x]
F[88,x] = F[2,x]*F[84,x]
F[89,x] = F[68,x]*F[87,x]
F[90,x] = F[91,x]
F[91,x] = F[36,x]*F[92,x]
F[92,x] = F[100,x]+F[93,x]
F[93,x] = F[80,x]*F[94,x]
F[94,x] = F[28,x]+F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[28,x]*F[36,x]*F[97,x]
F[97,x] = F[94,x]+F[98,x]
F[98,x] = F[99,x]
F[99,x] = -F[28,x]+F[94,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[36,x]
F[102,x] = F[103,x]+F[120,x]
F[103,x] = F[104,x]*F[105,x]
F[104,x] = F[68,x]+F[80,x]
F[105,x] = 1/F[36,x]*F[106,x]
F[106,x] = F[107,x]
F[107,x] = -F[112,x]+F[108,x]
F[108,x] = 1/F[36,x]*F[109,x]
F[109,x] = F[110,x]
F[110,x] = -F[2,x]+F[111,x]
F[111,x] = -F[28,x]+F[19,x]
F[112,x] = F[113,x]+F[114,x]
F[113,x] = F[0,x]*F[10,x]
F[114,x] = F[115,x]
F[115,x] = F[116,x]*F[36,x]
F[116,x] = F[117,x]+F[118,x]
F[117,x] = F[68,x]*F[94,x]
F[118,x] = F[119,x]
F[119,x] = F[105,x]*F[36,x]*F[4,x]
F[120,x] = F[0,x]*F[121,x]*F[66,x]
F[121,x] = 1/F[2,x]*F[122,x]
F[122,x] = -F[123,x]+F[105,x]
F[123,x] = 1/F[36,x]*F[124,x]
F[124,x] = F[125,x]
F[125,x] = F[111,x]+F[126,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]*F[36,x]
F[128,x] = F[129,x]+F[130,x]
F[129,x] = F[111,x]*F[97,x]
F[130,x] = F[131,x]+F[150,x]
F[131,x] = F[132,x]+F[134,x]
F[132,x] = F[133,x]
F[133,x] = F[0,x]*F[105,x]*F[36,x]
F[134,x] = -F[148,x]+F[135,x]
F[135,x] = -F[141,x]+F[136,x]
F[136,x] = 1/F[36,x]*F[137,x]
F[137,x] = F[138,x]
F[138,x] = -F[140,x]+F[139,x]
F[139,x] = -F[17,x]+F[132,x]
F[140,x] = -F[85,x]+F[17,x]
F[141,x] = F[142,x]+F[143,x]
F[142,x] = F[140,x]*F[97,x]
F[143,x] = F[144,x]
F[144,x] = F[145,x]*F[146,x]*F[36,x]
F[145,x] = F[113,x]+F[140,x]
F[146,x] = 1/F[19,x]/F[36,x]*F[147,x]
F[147,x] = F[130,x]
F[148,x] = F[149,x]
F[149,x] = F[121,x]*F[36,x]*F[85,x]
F[150,x] = F[151,x]
F[151,x] = F[146,x]*F[20,x]*F[36,x]
F[152,x] = F[153,x]+F[154,x]
F[153,x] = F[28,x]*F[6,x]
F[154,x] = F[155,x]
F[155,x] = F[156,x]*F[36,x]
F[156,x] = F[157,x]+F[159,x]
F[157,x] = F[158,x]*F[51,x]
F[158,x] = F[6,x]+F[69,x]
F[159,x] = F[15,x]*F[6,x]
F[160,x] = F[0,x]*F[28,x]
F[161,x] = F[162,x]
F[162,x] = F[163,x]*F[36,x]
F[163,x] = F[164,x]+F[52,x]
F[164,x] = F[15,x]*F[4,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_{36}\! \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_{36}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{11}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = x^{2} F_{10} \left(x \right)^{2}+2 x^{2} F_{10}\! \left(x \right)-2 x F_{10} \left(x \right)^{2}+x^{2}-3 x F_{10}\! \left(x \right)-x +2 F_{10}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{79}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{36}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{161}\! \left(x \right)
F_{15}\! \left(x \right) = \frac{F_{16}\! \left(x \right)}{F_{0}\! \left(x \right) F_{36}\! \left(x \right)}
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = -F_{160}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{76}\! \left(x \right)
F_{19}\! \left(x \right) = F_{0}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{36}\! \left(x \right)
F_{22}\! \left(x \right) = F_{18}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right) F_{36}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{74}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{29}\! \left(x \right)
F_{27}\! \left(x \right) = F_{22}\! \left(x \right) F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = x^{2} F_{28} \left(x \right)^{2}-2 x F_{28} \left(x \right)^{2}+F_{28}\! \left(x \right) x +2 F_{28}\! \left(x \right)-1
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right) F_{36}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{33}\! \left(x \right)
F_{32}\! \left(x \right) = F_{15}\! \left(x \right) F_{22}\! \left(x \right)
F_{33}\! \left(x \right) = F_{0}\! \left(x \right) F_{34}\! \left(x \right) F_{51}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{19}\! \left(x \right) F_{36}\! \left(x \right) F_{37}\! \left(x \right)
F_{36}\! \left(x \right) = x
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{44}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{42}\! \left(x \right)
F_{39}\! \left(x \right) = F_{1}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{36}\! \left(x \right) F_{39}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{36}\! \left(x \right) F_{37}\! \left(x \right) F_{39}\! \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_{36}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{22}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{45}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{2}\! \left(x \right) F_{36}\! \left(x \right) F_{47}\! \left(x \right)
F_{51}\! \left(x \right) = \frac{F_{52}\! \left(x \right)}{F_{57}\! \left(x \right)}
F_{52}\! \left(x \right) = -F_{56}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = \frac{F_{54}\! \left(x \right)}{F_{36}\! \left(x \right)}
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = -F_{17}\! \left(x \right)+F_{11}\! \left(x \right)
F_{56}\! \left(x \right) = F_{15}\! \left(x \right) F_{5}\! \left(x \right)
F_{57}\! \left(x \right) = F_{5}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{0}\! \left(x \right) F_{36}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)+F_{66}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{36}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{65}\! \left(x \right)
F_{64}\! \left(x \right) = F_{19}\! \left(x \right)+F_{45}\! \left(x \right)
F_{65}\! \left(x \right) = F_{2}\! \left(x \right) F_{37}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{73}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{69}\! \left(x \right)
F_{68}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{2}\! \left(x \right) F_{36}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{57}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right)
F_{73}\! \left(x \right) = F_{2}\! \left(x \right) F_{68}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{36}\! \left(x \right) F_{47}\! \left(x \right) F_{51}\! \left(x \right)
F_{76}\! \left(x \right) = -F_{152}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{79}\! \left(x \right)
F_{78}\! \left(x \right) = F_{28}\! \left(x \right) F_{68}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)+F_{90}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{36}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)+F_{89}\! \left(x \right)
F_{83}\! \left(x \right) = F_{67}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{0}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{0}\! \left(x \right) F_{36}\! \left(x \right) F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{4}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{2}\! \left(x \right) F_{84}\! \left(x \right)
F_{89}\! \left(x \right) = F_{68}\! \left(x \right) F_{87}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{36}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{100}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{80}\! \left(x \right) F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{28}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{28}\! \left(x \right) F_{36}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{94}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = -F_{28}\! \left(x \right)+F_{94}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{36}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{120}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{105}\! \left(x \right)
F_{104}\! \left(x \right) = F_{68}\! \left(x \right)+F_{80}\! \left(x \right)
F_{105}\! \left(x \right) = \frac{F_{106}\! \left(x \right)}{F_{36}\! \left(x \right)}
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = -F_{112}\! \left(x \right)+F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = \frac{F_{109}\! \left(x \right)}{F_{36}\! \left(x \right)}
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = -F_{28}\! \left(x \right)+F_{19}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{114}\! \left(x \right)
F_{113}\! \left(x \right) = F_{0}\! \left(x \right) F_{10}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{36}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)+F_{118}\! \left(x \right)
F_{117}\! \left(x \right) = F_{68}\! \left(x \right) F_{94}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{105}\! \left(x \right) F_{36}\! \left(x \right) F_{4}\! \left(x \right)
F_{120}\! \left(x \right) = F_{0}\! \left(x \right) F_{121}\! \left(x \right) F_{66}\! \left(x \right)
F_{121}\! \left(x \right) = \frac{F_{122}\! \left(x \right)}{F_{2}\! \left(x \right)}
F_{122}\! \left(x \right) = -F_{123}\! \left(x \right)+F_{105}\! \left(x \right)
F_{123}\! \left(x \right) = \frac{F_{124}\! \left(x \right)}{F_{36}\! \left(x \right)}
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{111}\! \left(x \right)+F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{36}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{130}\! \left(x \right)
F_{129}\! \left(x \right) = F_{111}\! \left(x \right) F_{97}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{150}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{134}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{0}\! \left(x \right) F_{105}\! \left(x \right) F_{36}\! \left(x \right)
F_{134}\! \left(x \right) = -F_{148}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = -F_{141}\! \left(x \right)+F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = \frac{F_{137}\! \left(x \right)}{F_{36}\! \left(x \right)}
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = -F_{140}\! \left(x \right)+F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = -F_{17}\! \left(x \right)+F_{132}\! \left(x \right)
F_{140}\! \left(x \right) = -F_{85}\! \left(x \right)+F_{17}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{143}\! \left(x \right)
F_{142}\! \left(x \right) = F_{140}\! \left(x \right) F_{97}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{146}\! \left(x \right) F_{36}\! \left(x \right)
F_{145}\! \left(x \right) = F_{113}\! \left(x \right)+F_{140}\! \left(x \right)
F_{146}\! \left(x \right) = \frac{F_{147}\! \left(x \right)}{F_{19}\! \left(x \right) F_{36}\! \left(x \right)}
F_{147}\! \left(x \right) = F_{130}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{121}\! \left(x \right) F_{36}\! \left(x \right) F_{85}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{146}\! \left(x \right) F_{20}\! \left(x \right) F_{36}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)+F_{154}\! \left(x \right)
F_{153}\! \left(x \right) = F_{28}\! \left(x \right) F_{6}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right) F_{36}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{159}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{51}\! \left(x \right)
F_{158}\! \left(x \right) = F_{6}\! \left(x \right)+F_{69}\! \left(x \right)
F_{159}\! \left(x \right) = F_{15}\! \left(x \right) F_{6}\! \left(x \right)
F_{160}\! \left(x \right) = F_{0}\! \left(x \right) F_{28}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right) F_{36}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{52}\! \left(x \right)
F_{164}\! \left(x \right) = F_{15}\! \left(x \right) F_{4}\! \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_36(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_36(x)*F_8(x))
Eq(F_8(x), F_11(x) + F_9(x))
Eq(F_9(x), F_10(x)*F_4(x))
Eq(F_10(x), x*(x - 2)*(F_10(x) + 1)**2 + (x + 1)*(F_10(x) + 1) + F_10(x) - 1)
Eq(F_11(x), F_12(x) + F_79(x))
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_14(x)*F_36(x))
Eq(F_14(x), F_15(x) + F_161(x))
Eq(F_15(x), F_16(x)/(F_0(x)*F_36(x)))
Eq(F_16(x), F_17(x))
Eq(F_17(x), -F_160(x) + F_18(x))
Eq(F_18(x), F_19(x) + F_76(x))
Eq(F_19(x), F_0(x) + F_20(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_22(x)*F_36(x))
Eq(F_22(x), F_18(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_25(x)*F_36(x))
Eq(F_25(x), F_26(x) + F_74(x))
Eq(F_26(x), F_27(x) + F_29(x))
Eq(F_27(x), F_22(x)*F_28(x))
Eq(F_28(x), x*(x - 2)*F_28(x)**2 + (x + 2)*F_28(x) - 1)
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_31(x)*F_36(x))
Eq(F_31(x), F_32(x) + F_33(x))
Eq(F_32(x), F_15(x)*F_22(x))
Eq(F_33(x), F_0(x)*F_34(x)*F_51(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_19(x)*F_36(x)*F_37(x))
Eq(F_36(x), x)
Eq(F_37(x), F_38(x) + F_44(x))
Eq(F_38(x), F_39(x) + F_42(x))
Eq(F_39(x), F_1(x) + F_40(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_36(x)*F_39(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_36(x)*F_37(x)*F_39(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_36(x)*F_47(x))
Eq(F_47(x), F_22(x) + F_48(x))
Eq(F_48(x), F_45(x) + F_49(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_2(x)*F_36(x)*F_47(x))
Eq(F_51(x), F_52(x)/F_57(x))
Eq(F_52(x), F_53(x) - F_56(x))
Eq(F_53(x), F_54(x)/F_36(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_11(x) - F_17(x))
Eq(F_56(x), F_15(x)*F_5(x))
Eq(F_57(x), F_5(x) + F_58(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_0(x)*F_36(x)*F_60(x))
Eq(F_60(x), F_61(x) + F_66(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_36(x)*F_63(x))
Eq(F_63(x), F_64(x) + F_65(x))
Eq(F_64(x), F_19(x) + F_45(x))
Eq(F_65(x), F_2(x)*F_37(x))
Eq(F_66(x), F_67(x) + F_73(x))
Eq(F_67(x), F_68(x) + F_69(x))
Eq(F_68(x), F_2(x) + F_6(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_2(x)*F_36(x)*F_71(x))
Eq(F_71(x), F_57(x) + F_72(x))
Eq(F_72(x), F_0(x)*F_4(x))
Eq(F_73(x), F_2(x)*F_68(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_36(x)*F_47(x)*F_51(x))
Eq(F_76(x), -F_152(x) + F_77(x))
Eq(F_77(x), F_78(x) + F_79(x))
Eq(F_78(x), F_28(x)*F_68(x))
Eq(F_79(x), F_80(x) + F_90(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_36(x)*F_82(x))
Eq(F_82(x), F_83(x) + F_89(x))
Eq(F_83(x), F_67(x)*F_84(x))
Eq(F_84(x), F_0(x) + F_85(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_0(x)*F_36(x)*F_87(x))
Eq(F_87(x), F_4(x) + F_88(x))
Eq(F_88(x), F_2(x)*F_84(x))
Eq(F_89(x), F_68(x)*F_87(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_36(x)*F_92(x))
Eq(F_92(x), F_100(x) + F_93(x))
Eq(F_93(x), F_80(x)*F_94(x))
Eq(F_94(x), F_28(x) + F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_28(x)*F_36(x)*F_97(x))
Eq(F_97(x), F_94(x) + F_98(x))
Eq(F_98(x), F_99(x))
Eq(F_99(x), -F_28(x) + F_94(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_36(x))
Eq(F_102(x), F_103(x) + F_120(x))
Eq(F_103(x), F_104(x)*F_105(x))
Eq(F_104(x), F_68(x) + F_80(x))
Eq(F_105(x), F_106(x)/F_36(x))
Eq(F_106(x), F_107(x))
Eq(F_107(x), F_108(x) - F_112(x))
Eq(F_108(x), F_109(x)/F_36(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x) - F_2(x))
Eq(F_111(x), F_19(x) - F_28(x))
Eq(F_112(x), F_113(x) + F_114(x))
Eq(F_113(x), F_0(x)*F_10(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x)*F_36(x))
Eq(F_116(x), F_117(x) + F_118(x))
Eq(F_117(x), F_68(x)*F_94(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_105(x)*F_36(x)*F_4(x))
Eq(F_120(x), F_0(x)*F_121(x)*F_66(x))
Eq(F_121(x), F_122(x)/F_2(x))
Eq(F_122(x), F_105(x) - F_123(x))
Eq(F_123(x), F_124(x)/F_36(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_111(x) + F_126(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x)*F_36(x))
Eq(F_128(x), F_129(x) + F_130(x))
Eq(F_129(x), F_111(x)*F_97(x))
Eq(F_130(x), F_131(x) + F_150(x))
Eq(F_131(x), F_132(x) + F_134(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_0(x)*F_105(x)*F_36(x))
Eq(F_134(x), F_135(x) - F_148(x))
Eq(F_135(x), F_136(x) - F_141(x))
Eq(F_136(x), F_137(x)/F_36(x))
Eq(F_137(x), F_138(x))
Eq(F_138(x), F_139(x) - F_140(x))
Eq(F_139(x), F_132(x) - F_17(x))
Eq(F_140(x), F_17(x) - F_85(x))
Eq(F_141(x), F_142(x) + F_143(x))
Eq(F_142(x), F_140(x)*F_97(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_145(x)*F_146(x)*F_36(x))
Eq(F_145(x), F_113(x) + F_140(x))
Eq(F_146(x), F_147(x)/(F_19(x)*F_36(x)))
Eq(F_147(x), F_130(x))
Eq(F_148(x), F_149(x))
Eq(F_149(x), F_121(x)*F_36(x)*F_85(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_146(x)*F_20(x)*F_36(x))
Eq(F_152(x), F_153(x) + F_154(x))
Eq(F_153(x), F_28(x)*F_6(x))
Eq(F_154(x), F_155(x))
Eq(F_155(x), F_156(x)*F_36(x))
Eq(F_156(x), F_157(x) + F_159(x))
Eq(F_157(x), F_158(x)*F_51(x))
Eq(F_158(x), F_6(x) + F_69(x))
Eq(F_159(x), F_15(x)*F_6(x))
Eq(F_160(x), F_0(x)*F_28(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_163(x)*F_36(x))
Eq(F_163(x), F_164(x) + F_52(x))
Eq(F_164(x), F_15(x)*F_4(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, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 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": [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]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [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": [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, 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, 1], [0, 1], [0, 1], [0, 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": [[0, 0], [0, 1], [0, 1], [0, 0], [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, 1], [0, 1], [0, 1], [0, 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": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 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": [[0, 1], [0, 0], [0, 1], [0, 0], [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, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"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": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [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": [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, 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, 1], [0, 1], [0, 1], [0, 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": [[0, 0], [0, 1], [0, 1], [0, 0], [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, 1], [0, 1], [0, 1], [0, 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": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 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": [[0, 1], [0, 0], [0, 1], [0, 0], [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, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}]}}, "idx": 1}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [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": [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, 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, 1], [0, 1], [0, 1], [0, 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": [[0, 0], [0, 1], [0, 1], [0, 0], [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, 1], [0, 1], [0, 1], [0, 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": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 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": [[0, 1], [0, 0], [0, 1], [0, 0], [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, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"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": [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]]}], "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, 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": [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, 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, 1], [0, 1], [0, 1], [0, 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": [[0, 0], [0, 1], [0, 1], [0, 0], [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, 1], [0, 1], [0, 1], [0, 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": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 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": [[0, 1], [0, 0], [0, 1], [0, 0], [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, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}]}}, "idx": 1}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 2], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [2, 2], [2, 0]]}, {"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, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], 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