10342_10432_20341_20431_30241
Counting sequence:
1, 1, 2, 6, 24, 115, 614, 3509, 21011, 130224, 829149, 5395613, 35752180, 240546958, 1639777494, 11305843608, 78730351762, 553094223580, 3916103959668, 27922478399098, 200353830426537, 1445863310928114, 10488650724189256, 76450542224732846, 559680156516315134, 4113842954609355757, 30350871994896208304, 224694334331652232156, 1668802390141166444770, 12431247890307814645022, 92861593438748701776303, 695491589807076153417695, 5221699869490643877521705, 39294560521084633647048769, 296343413123127466701625933, 2239479959522505696473416599, 16956619840541803441779496821, 128625375128096189483881829053, 977389959747668161637555358803, 7439173339396804021299452557873, 56710261526374842448843178949804, 432958169144919408651827906141944, 3310145001084970294202367362230828, 25341742668677297834980574208109007, 194261983872005486662320857329864335, 1490995406882486582325182290749462641, 11457207871350894717697261564763185080, 88140113207415326110866114643350681170, 678797769010144338048181510123154974323, 5233112861681387600824101726667239942405, 40384501581205961674434616364534421162359, 311951710422032099028012534103493096498797, 2411915497146080988209151253342254320860013, 18664820954246963385492359016649602486408686, 144563406156227798521165339204800903911066952, 1120604264061241064982443957538080475418632344, 8693462571478202465169509676440399519406459325, 67494418063914916766657581156862094293083144702, 524404037826678758185567929042191975026735090364, 4077335297381784431419690978407629030838298792498, 31724057277815081620762037304958127036935897761202, 246997805961079025984752079098432630208816161823960, 1924332802050928564696309347537679231339296692504451, 15001720691183828028768617775820259657095776856981204, 117021935176931439315005546213821601100482219208425626, 913378272910148569092144214638096111495696083382015075, 7133185802847787812598167142404404058573786799705377147, 55738908334041481395902694263955629702124035480321304548, 435781079415340961459478674253629830517753008697973531442, 3408839113200608543478061356216706470464274839713144179178, 26678805569938782427350387566959021822387705090844252648980, 208901614519004021841583570824216178925869568410724311266898, 1636540653468477213590335838702892402102234238037061769314826, 12826721944732537799828151648405039992399537197034990359588630, 100577993262768013985276360215157478519408227908082625334050689, 789011616540636992848573025848787753587255568716127281615088533, 6192299035217857047065197871521278267990844111216483630095888407, 48618737847189155433315375318980155944177063432931642825559009801, 381886234877184958921641367806482435038941015923883815219865642523, 3000809312430077999187571452763135861022713901550304371014663378649, 23589163283042865459426086110602928050013895200948456085139583536336, 185503560557991699983625482029486276226577482266794122408573120051558, 1459330041687330615158820262421483119604124175296995513666894752803984, 11484510366797907109925163801500712198009241045820920070452836967203718, 90411859078595633346705383240278427346224875739537884743144667702852653, 712014217931293981871747859738399250993588816645300928397752800455825864, 5609172625005316861407504546868175069449925389625233957976048581715206623, 44203072783284593997151013710613357160147343925485588078561923971852537590, 348454746878127602570997022368516347785146277519820715299172463606641669502, 2747751439651517805614282568401633778349816739881878775974148684798411718365, 21674176489730142159795220002160742978472779234695827867093049278877436296243, 171016863409473028918062304423238675411214708645180544771515942033707593076129, 1349781902940953987521694559391327766871155169442254551879128180286878970810362, 10656481909299754952221680754668438153798984229800885976979959401584051848886056, 84156377044247236942023138932405736256026545127016689180211670103067606936864795, 664784005395526160459550017214668325743042392212872080046496687122887595690685111, 5252813120293738477079391258262901388419019940126063960899923468192582330745545018, 41516312970022415493733434270312551316603941850650602775114582851339935848960829183, 328215206389674524033679713017341223862677545157713399346334254707756682910289452003, 2595430711819942504971013638953255492633949835577415658651523357895125450254372784566, 20529047250688641248057917481801679090331906278595008493060437448635351637271473915774
Specification 1
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/25076/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[41,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[41,x]*F[8,x]
F[8,x] = F[10,x]+F[9,x]
F[9,x] = F[2,x]*F[4,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[41,x]*F[63,x]
F[12,x] = F[13,x,1]
F[14,x,k[0]] = F[13,x,k[0]]*F[19,x,k[0]]
F[14,x,k[0]] = F[15,x,k[0]]
F[15,x,k[0]] = F[16,x,k[0]]+F[42,x,k[0]]
F[16,x,k[0]] = F[17,x,k[0]]+F[29,x,k[0]]
F[17,x,k[0]] = F[18,x,k[0]]
F[18,x,k[0]] = F[19,x,k[0]]*F[20,x,k[0]]
F[19,x,k[0]] = k[0]*x
F[20,x,k[0]] = F[21,x,k[0]]+F[22,x,k[0]]
F[21,x,k[0]] = F[1,x]+F[17,x,k[0]]
F[22,x,k[0]] = F[23,x,k[0]]+F[26,x,k[0]]
F[23,x,k[0]] = F[24,x,k[0]]
F[24,x,k[0]] = F[19,x,k[0]]*F[25,x,k[0]]
F[25,x,k[0]] = F[1,x]+F[23,x,k[0]]
F[26,x,k[0]] = F[27,x,k[0]]
F[27,x,k[0]] = F[19,x,k[0]]*F[28,x,k[0]]
F[28,x,k[0]] = F[17,x,k[0]]+F[26,x,k[0]]
F[29,x,k[0]] = F[30,x,k[0]]
F[30,x,k[0]] = F[31,x,k[0]]*F[41,x]
F[31,x,k[0]] = F[15,x,k[0]]+F[32,x,k[0]]
F[32,x,k[0]] = F[33,x,k[0]]
F[33,x,k[0]] = F[19,x,k[0]]*F[34,x,k[0]]
F[34,x,k[0]] = F[35,x,k[0]]+F[38,x,k[0]]
F[35,x,k[0]] = F[25,x,k[0]]*F[36,x,k[0]]
F[36,x,k[0]] = F[32,x,k[0]]+F[37,x,k[0]]
F[37,x,k[0]] = F[15,x,k[0]]+F[4,x]
F[38,x,k[0]] = k[0]*F[39,x,k[0]]
F[39,x,k[0]] = F[40,x,k[0]]
F[40,x,k[0]] = F[13,x,k[0]]*F[25,x,k[0]]*F[41,x]
F[41,x] = x
F[42,x,k[0]] = F[43,x,k[0]]
F[43,x,k[0]] = F[41,x]*F[44,x,k[0]]
F[44,x,k[0]] = F[45,x,k[0]]+F[72,x,k[0]]
F[45,x,k[0]] = F[46,x,k[0]]+F[47,x,k[0]]
F[46,x,k[0]] = -k[0]*(F[15,x,1]-F[15,x,k[0]])/(-1+k[0])
F[47,x,k[0]] = F[48,x,k[0]]
F[48,x,k[0]] = F[41,x]*F[49,x,k[0]]
F[49,x,k[0]] = -k[0]*(F[50,x,1]-F[50,x,k[0]])/(-1+k[0])
F[50,x,k[0]] = F[51,x,k[0]]+F[54,x,k[0]]
F[51,x,k[0]] = F[15,x,k[0]]*F[52,x]
F[52,x] = 1/F[41,x]*F[53,x]
F[53,x] = F[2,x]
F[54,x,k[0]] = F[55,x,k[0]]
F[55,x,k[0]] = F[41,x]*F[56,x,k[0]]*F[62,x]
F[57,x,k[0]] = F[41,x]*F[56,x,k[0]]
F[57,x,k[0]] = F[58,x,k[0]]
F[59,x,k[0]] = F[58,x,k[0]]+F[61,x]
F[59,x,k[0]] = F[60,x,k[0]]
F[60,x,k[0]] = F[13,x,k[0]]*F[41,x]
F[61,x] = F[5,x]
F[62,x] = F[63,x]+F[70,x]
F[63,x] = F[64,x]+F[68,x]
F[64,x] = F[0,x]*F[65,x]
F[65,x] = F[1,x]+F[66,x]
F[66,x] = F[67,x]
F[67,x] = F[41,x]*F[65,x]
F[68,x] = F[65,x]*F[69,x]
F[69,x] = -F[65,x]+F[0,x]
F[70,x] = F[65,x]*F[71,x]
F[71,x] = -F[0,x]+F[52,x]
F[72,x,k[0]] = F[73,x,k[0]]+F[84,x,k[0]]
F[73,x,k[0]] = F[74,x,k[0]]
F[74,x,k[0]] = F[19,x,k[0]]*F[75,x,k[0]]
F[75,x,k[0]] = F[76,x,k[0]]+F[79,x,k[0]]
F[76,x,k[0]] = F[37,x,k[0]]*F[77,x,k[0]]
F[78,x,k[0]] = F[19,x,k[0]]*F[77,x,k[0]]
F[78,x,k[0]] = F[16,x,k[0]]
F[79,x,k[0]] = F[80,x,k[0]]
F[80,x,k[0]] = k[0]*F[81,x,k[0]]
F[81,x,k[0]] = F[82,x,k[0]]
F[82,x,k[0]] = F[13,x,k[0]]*F[25,x,k[0]]*F[41,x]*F[83,x,k[0]]
F[83,x,k[0]] = F[0,x]+F[16,x,k[0]]
F[84,x,k[0]] = F[85,x,k[0]]
F[85,x,k[0]] = F[13,x,k[0]]*F[41,x]*F[86,x,k[0]]
F[87,x,k[0]] = F[86,x,k[0]]+F[99,x,k[0]]
F[87,x,k[0]] = F[88,x,k[0]]+F[93,x,k[0]]
F[88,x,k[0]] = F[89,x,k[0]]+F[92,x,k[0]]
F[89,x,k[0]] = F[90,x,k[0]]+F[91,x,k[0]]
F[90,x,k[0]] = F[17,x,k[0]]*F[65,x]
F[91,x,k[0]] = F[23,x,k[0]]*F[69,x]
F[92,x,k[0]] = F[23,x,k[0]]*F[71,x]
F[93,x,k[0]] = F[94,x,k[0]]
F[94,x,k[0]] = F[41,x]*F[95,x,k[0]]
F[95,x,k[0]] = F[101,x,k[0]]+F[96,x,k[0]]
F[96,x,k[0]] = F[97,x,k[0]]+F[99,x,k[0]]
F[97,x,k[0]] = F[86,x,k[0]]+F[98,x,k[0]]
F[98,x,k[0]] = F[42,x,k[0]]*F[65,x]
F[99,x,k[0]] = F[100,x,k[0]]
F[100,x,k[0]] = F[23,x,k[0]]*F[65,x]*F[71,x]
F[101,x,k[0]] = F[32,x,k[0]]*F[65,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{41}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{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_{41}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{10}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{41}\! \left(x \right) F_{63}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x , 1\right)
F_{14}\! \left(x , y\right) = F_{13}\! \left(x , y\right) F_{19}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = F_{15}\! \left(x , y\right)
F_{15}\! \left(x , y\right) = F_{16}\! \left(x , y\right)+F_{42}\! \left(x , y\right)
F_{16}\! \left(x , y\right) = F_{17}\! \left(x , y\right)+F_{29}\! \left(x , y\right)
F_{17}\! \left(x , y\right) = F_{18}\! \left(x , y\right)
F_{18}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{19}\! \left(x , y\right) = y x
F_{20}\! \left(x , y\right) = F_{21}\! \left(x , y\right)+F_{22}\! \left(x , y\right)
F_{21}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{17}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{23}\! \left(x , y\right)+F_{26}\! \left(x , y\right)
F_{23}\! \left(x , y\right) = F_{24}\! \left(x , y\right)
F_{24}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{25}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{23}\! \left(x , y\right)
F_{26}\! \left(x , y\right) = F_{27}\! \left(x , y\right)
F_{27}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{28}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = F_{17}\! \left(x , y\right)+F_{26}\! \left(x , y\right)
F_{29}\! \left(x , y\right) = F_{30}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{31}\! \left(x , y\right) F_{41}\! \left(x \right)
F_{31}\! \left(x , y\right) = F_{15}\! \left(x , y\right)+F_{32}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{33}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{34}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{35}\! \left(x , y\right)+F_{38}\! \left(x , y\right)
F_{35}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{36}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{32}\! \left(x , y\right)+F_{37}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{15}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{38}\! \left(x , y\right) = y F_{39}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{40}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{13}\! \left(x , y\right) F_{25}\! \left(x , y\right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = x
F_{42}\! \left(x , y\right) = F_{43}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{41}\! \left(x \right) F_{44}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{45}\! \left(x , y\right)+F_{72}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{46}\! \left(x , y\right)+F_{47}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = -\frac{y \left(F_{15}\! \left(x , 1\right)-F_{15}\! \left(x , y\right)\right)}{-1+y}
F_{47}\! \left(x , y\right) = F_{48}\! \left(x , y\right)
F_{48}\! \left(x , y\right) = F_{41}\! \left(x \right) F_{49}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = -\frac{y \left(F_{50}\! \left(x , 1\right)-F_{50}\! \left(x , y\right)\right)}{-1+y}
F_{50}\! \left(x , y\right) = F_{51}\! \left(x , y\right)+F_{54}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{15}\! \left(x , y\right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = \frac{F_{53}\! \left(x \right)}{F_{41}\! \left(x \right)}
F_{53}\! \left(x \right) = F_{2}\! \left(x \right)
F_{54}\! \left(x , y\right) = F_{55}\! \left(x , y\right)
F_{55}\! \left(x , y\right) = F_{41}\! \left(x \right) F_{56}\! \left(x , y\right) F_{62}\! \left(x \right)
F_{57}\! \left(x , y\right) = F_{41}\! \left(x \right) F_{56}\! \left(x , y\right)
F_{57}\! \left(x , y\right) = F_{58}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = F_{58}\! \left(x , y\right)+F_{61}\! \left(x \right)
F_{59}\! \left(x , y\right) = F_{60}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = F_{13}\! \left(x , y\right) F_{41}\! \left(x \right)
F_{61}\! \left(x \right) = F_{5}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{70}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{68}\! \left(x \right)
F_{64}\! \left(x \right) = F_{0}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{1}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{41}\! \left(x \right) F_{65}\! \left(x \right)
F_{68}\! \left(x \right) = F_{65}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = -F_{65}\! \left(x \right)+F_{0}\! \left(x \right)
F_{70}\! \left(x \right) = F_{65}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{52}\! \left(x \right)
F_{72}\! \left(x , y\right) = F_{73}\! \left(x , y\right)+F_{84}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{74}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{75}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = F_{76}\! \left(x , y\right)+F_{79}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = F_{37}\! \left(x , y\right) F_{77}\! \left(x , y\right)
F_{78}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{77}\! \left(x , y\right)
F_{78}\! \left(x , y\right) = F_{16}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = F_{80}\! \left(x , y\right)
F_{80}\! \left(x , y\right) = y F_{81}\! \left(x , y\right)
F_{81}\! \left(x , y\right) = F_{82}\! \left(x , y\right)
F_{82}\! \left(x , y\right) = F_{13}\! \left(x , y\right) F_{25}\! \left(x , y\right) F_{41}\! \left(x \right) F_{83}\! \left(x , y\right)
F_{83}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{16}\! \left(x , y\right)
F_{84}\! \left(x , y\right) = F_{85}\! \left(x , y\right)
F_{85}\! \left(x , y\right) = F_{13}\! \left(x , y\right) F_{41}\! \left(x \right) F_{86}\! \left(x , y\right)
F_{87}\! \left(x , y\right) = F_{86}\! \left(x , y\right)+F_{99}\! \left(x , y\right)
F_{87}\! \left(x , y\right) = F_{88}\! \left(x , y\right)+F_{93}\! \left(x , y\right)
F_{88}\! \left(x , y\right) = F_{89}\! \left(x , y\right)+F_{92}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{90}\! \left(x , y\right)+F_{91}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{17}\! \left(x , y\right) F_{65}\! \left(x \right)
F_{91}\! \left(x , y\right) = F_{23}\! \left(x , y\right) F_{69}\! \left(x \right)
F_{92}\! \left(x , y\right) = F_{23}\! \left(x , y\right) F_{71}\! \left(x \right)
F_{93}\! \left(x , y\right) = F_{94}\! \left(x , y\right)
F_{94}\! \left(x , y\right) = F_{41}\! \left(x \right) F_{95}\! \left(x , y\right)
F_{95}\! \left(x , y\right) = F_{101}\! \left(x , y\right)+F_{96}\! \left(x , y\right)
F_{96}\! \left(x , y\right) = F_{97}\! \left(x , y\right)+F_{99}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{86}\! \left(x , y\right)+F_{98}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{42}\! \left(x , y\right) F_{65}\! \left(x \right)
F_{99}\! \left(x , y\right) = F_{100}\! \left(x , y\right)
F_{100}\! \left(x , y\right) = F_{23}\! \left(x , y\right) F_{65}\! \left(x \right) F_{71}\! \left(x \right)
F_{101}\! \left(x , y\right) = F_{32}\! \left(x , y\right) F_{65}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_41(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_41(x)*F_8(x))
Eq(F_8(x), F_10(x) + F_9(x))
Eq(F_9(x), F_2(x)*F_4(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_41(x)*F_63(x))
Eq(F_12(x), F_13(x, 1))
Eq(F_14(x, k_0), F_13(x, k_0)*F_19(x, k_0))
Eq(F_14(x, k_0), F_15(x, k_0))
Eq(F_15(x, k_0), F_16(x, k_0) + F_42(x, k_0))
Eq(F_16(x, k_0), F_17(x, k_0) + F_29(x, k_0))
Eq(F_17(x, k_0), F_18(x, k_0))
Eq(F_18(x, k_0), F_19(x, k_0)*F_20(x, k_0))
Eq(F_19(x, k_0), k_0*x)
Eq(F_20(x, k_0), F_21(x, k_0) + F_22(x, k_0))
Eq(F_21(x, k_0), F_1(x) + F_17(x, k_0))
Eq(F_22(x, k_0), F_23(x, k_0) + F_26(x, k_0))
Eq(F_23(x, k_0), F_24(x, k_0))
Eq(F_24(x, k_0), F_19(x, k_0)*F_25(x, k_0))
Eq(F_25(x, k_0), F_1(x) + F_23(x, k_0))
Eq(F_26(x, k_0), F_27(x, k_0))
Eq(F_27(x, k_0), F_19(x, k_0)*F_28(x, k_0))
Eq(F_28(x, k_0), F_17(x, k_0) + F_26(x, k_0))
Eq(F_29(x, k_0), F_30(x, k_0))
Eq(F_30(x, k_0), F_31(x, k_0)*F_41(x))
Eq(F_31(x, k_0), F_15(x, k_0) + F_32(x, k_0))
Eq(F_32(x, k_0), F_33(x, k_0))
Eq(F_33(x, k_0), F_19(x, k_0)*F_34(x, k_0))
Eq(F_34(x, k_0), F_35(x, k_0) + F_38(x, k_0))
Eq(F_35(x, k_0), F_25(x, k_0)*F_36(x, k_0))
Eq(F_36(x, k_0), F_32(x, k_0) + F_37(x, k_0))
Eq(F_37(x, k_0), F_15(x, k_0) + F_4(x))
Eq(F_38(x, k_0), k_0*F_39(x, k_0))
Eq(F_39(x, k_0), F_40(x, k_0))
Eq(F_40(x, k_0), F_13(x, k_0)*F_25(x, k_0)*F_41(x))
Eq(F_41(x), x)
Eq(F_42(x, k_0), F_43(x, k_0))
Eq(F_43(x, k_0), F_41(x)*F_44(x, k_0))
Eq(F_44(x, k_0), F_45(x, k_0) + F_72(x, k_0))
Eq(F_45(x, k_0), F_46(x, k_0) + F_47(x, k_0))
Eq(F_46(x, k_0), -F_15(x, 1) + (k_0*F_15(x, k_0) - F_15(x, 1))/(k_0 - 1))
Eq(F_47(x, k_0), F_48(x, k_0))
Eq(F_48(x, k_0), F_41(x)*F_49(x, k_0))
Eq(F_49(x, k_0), -F_50(x, 1) + (k_0*F_50(x, k_0) - F_50(x, 1))/(k_0 - 1))
Eq(F_50(x, k_0), F_51(x, k_0) + F_54(x, k_0))
Eq(F_51(x, k_0), F_15(x, k_0)*F_52(x))
Eq(F_52(x), F_53(x)/F_41(x))
Eq(F_53(x), F_2(x))
Eq(F_54(x, k_0), F_55(x, k_0))
Eq(F_55(x, k_0), F_41(x)*F_56(x, k_0)*F_62(x))
Eq(F_57(x, k_0), F_41(x)*F_56(x, k_0))
Eq(F_57(x, k_0), F_58(x, k_0))
Eq(F_59(x, k_0), F_58(x, k_0) + F_61(x))
Eq(F_59(x, k_0), F_60(x, k_0))
Eq(F_60(x, k_0), F_13(x, k_0)*F_41(x))
Eq(F_61(x), F_5(x))
Eq(F_62(x), F_63(x) + F_70(x))
Eq(F_63(x), F_64(x) + F_68(x))
Eq(F_64(x), F_0(x)*F_65(x))
Eq(F_65(x), F_1(x) + F_66(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_41(x)*F_65(x))
Eq(F_68(x), F_65(x)*F_69(x))
Eq(F_69(x), F_0(x) - F_65(x))
Eq(F_70(x), F_65(x)*F_71(x))
Eq(F_71(x), -F_0(x) + F_52(x))
Eq(F_72(x, k_0), F_73(x, k_0) + F_84(x, k_0))
Eq(F_73(x, k_0), F_74(x, k_0))
Eq(F_74(x, k_0), F_19(x, k_0)*F_75(x, k_0))
Eq(F_75(x, k_0), F_76(x, k_0) + F_79(x, k_0))
Eq(F_76(x, k_0), F_37(x, k_0)*F_77(x, k_0))
Eq(F_78(x, k_0), F_19(x, k_0)*F_77(x, k_0))
Eq(F_78(x, k_0), F_16(x, k_0))
Eq(F_79(x, k_0), F_80(x, k_0))
Eq(F_80(x, k_0), k_0*F_81(x, k_0))
Eq(F_81(x, k_0), F_82(x, k_0))
Eq(F_82(x, k_0), F_13(x, k_0)*F_25(x, k_0)*F_41(x)*F_83(x, k_0))
Eq(F_83(x, k_0), F_0(x) + F_16(x, k_0))
Eq(F_84(x, k_0), F_85(x, k_0))
Eq(F_85(x, k_0), F_13(x, k_0)*F_41(x)*F_86(x, k_0))
Eq(F_87(x, k_0), F_86(x, k_0) + F_99(x, k_0))
Eq(F_87(x, k_0), F_88(x, k_0) + F_93(x, k_0))
Eq(F_88(x, k_0), F_89(x, k_0) + F_92(x, k_0))
Eq(F_89(x, k_0), F_90(x, k_0) + F_91(x, k_0))
Eq(F_90(x, k_0), F_17(x, k_0)*F_65(x))
Eq(F_91(x, k_0), F_23(x, k_0)*F_69(x))
Eq(F_92(x, k_0), F_23(x, k_0)*F_71(x))
Eq(F_93(x, k_0), F_94(x, k_0))
Eq(F_94(x, k_0), F_41(x)*F_95(x, k_0))
Eq(F_95(x, k_0), F_101(x, k_0) + F_96(x, k_0))
Eq(F_96(x, k_0), F_97(x, k_0) + F_99(x, k_0))
Eq(F_97(x, k_0), F_86(x, k_0) + F_98(x, k_0))
Eq(F_98(x, k_0), F_42(x, k_0)*F_65(x))
Eq(F_99(x, k_0), F_100(x, k_0))
Eq(F_100(x, k_0), F_23(x, k_0)*F_65(x)*F_71(x))
Eq(F_101(x, k_0), F_32(x, k_0)*F_65(x))
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [3, 0, 2, 4, 1]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [3, 0, 2, 4, 1]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [3, 0, 2, 4, 1]]}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 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]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [2, 0]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, 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{"patt": [3, 0, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 4], [0, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 4], [1, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [1, 4], [1, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 4], [0, 2], [0, 2], [0, 4], [0, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 4], [0, 2], [0, 2], [0, 4], [1, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 4], [0, 2], [0, 2], [0, 4], [6, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 4], [0, 2], [0, 2], [1, 4], [1, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 4], [0, 2], [0, 4], [7, 4], [7, 4]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [7, 4]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 4], [0, 4], [0, 4], [1, 4], [7, 4]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 4], [0, 4], [0, 4], [7, 4], [7, 4]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 4], [1, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 4], [1, 2], [1, 2], [1, 4], [1, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 4], [1, 2], [1, 2], [1, 4], [6, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 4], [1, 2], [1, 4], [7, 4], [7, 4]]}, {"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], [1, 4], [1, 4], [1, 4], [7, 4]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 4], [1, 4], [1, 4], [7, 4], [7, 4]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [3, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [3, 0], [3, 0]]}], "requirements": [[{"patt": [0], "pos": [[4, 3]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[3, 0]]}, {"patt": [0], "pos": [[5, 1]]}, {"patt": [0], "pos": [[6, 2]]}, {"patt": [0], "pos": [[7, 4]]}]}]}], "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": "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, 2, 0], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "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, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}]}]}], "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": "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]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}]}]}, "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": [[0, 2]]}, {"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]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 1]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 2]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}]}]}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}], "indices": [0, 0], "direction": 2, "own_col": true, "own_row": true, "include_empty": 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": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "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": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}]}]}], "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": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}]}
Specification 2
Strategy pack name: point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/25679/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[22,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[22,x]*F[8,x]
F[8,x] = F[10,x]+F[9,x]
F[9,x] = F[2,x]*F[4,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[22,x]*F[40,x]
F[12,x] = F[13,x,1]
F[14,x,k[0]] = F[13,x,k[0]]*F[24,x,k[0]]
F[14,x,k[0]] = F[15,x,k[0]]
F[16,x,k[0]] = F[15,x,k[0]]+F[4,x]
F[16,x,k[0]] = F[17,x,k[0]]+F[25,x,k[0]]
F[17,x,k[0]] = F[0,x]+F[18,x,k[0]]
F[18,x,k[0]] = F[19,x,k[0]]
F[19,x,k[0]] = F[20,x,k[0]]*F[24,x,k[0]]
F[20,x,k[0]] = F[17,x,k[0]]+F[21,x,k[0]]+F[23,x,k[0]]
F[21,x,k[0]] = F[13,x,k[0]]*F[22,x]
F[22,x] = x
F[23,x,k[0]] = F[20,x,k[0]]*F[24,x,k[0]]
F[24,x,k[0]] = k[0]*x
F[25,x,k[0]] = F[26,x,k[0]]
F[26,x,k[0]] = F[22,x]*F[27,x,k[0]]
F[27,x,k[0]] = F[28,x,k[0]]+F[49,x,k[0]]
F[28,x,k[0]] = F[29,x,k[0]]+F[30,x,k[0]]
F[29,x,k[0]] = 1/(-1+k[0])*(F[16,x,k[0]]*k[0]-F[16,x,1])
F[30,x,k[0]] = F[31,x,k[0]]
F[31,x,k[0]] = F[22,x]*F[32,x,k[0]]
F[32,x,k[0]] = 1/(-1+k[0])*(F[33,x,k[0]]*k[0]-F[33,x,1])
F[33,x,k[0]] = F[34,x,k[0]]+F[37,x,k[0]]
F[34,x,k[0]] = F[16,x,k[0]]*F[35,x]
F[35,x] = 1/F[22,x]*F[36,x]
F[36,x] = F[2,x]
F[37,x,k[0]] = F[38,x,k[0]]
F[38,x,k[0]] = F[13,x,k[0]]*F[22,x]*F[39,x]
F[39,x] = F[40,x]+F[47,x]
F[40,x] = F[41,x]+F[45,x]
F[41,x] = F[0,x]*F[42,x]
F[42,x] = F[1,x]+F[43,x]
F[43,x] = F[44,x]
F[44,x] = F[22,x]*F[42,x]
F[45,x] = F[42,x]*F[46,x]
F[46,x] = -F[42,x]+F[0,x]
F[47,x] = F[42,x]*F[48,x]
F[48,x] = -F[0,x]+F[35,x]
F[49,x,k[0]] = F[50,x,k[0]]
F[50,x,k[0]] = F[24,x,k[0]]*F[51,x,k[0]]
F[51,x,k[0]] = F[52,x,k[0]]+F[66,x,k[0]]
F[53,x,k[0]] = F[24,x,k[0]]*F[52,x,k[0]]
F[53,x,k[0]] = F[54,x,k[0]]
F[54,x,k[0]] = F[24,x,k[0]]*F[55,x,k[0]]
F[55,x,k[0]] = F[56,x,k[0]]+F[59,x,k[0]]
F[56,x,k[0]] = F[16,x,k[0]]*F[57,x,k[0]]
F[58,x,k[0]] = F[24,x,k[0]]*F[57,x,k[0]]
F[58,x,k[0]] = F[18,x,k[0]]
F[59,x,k[0]] = F[60,x,k[0]]
F[60,x,k[0]] = k[0]*F[61,x,k[0]]
F[61,x,k[0]] = F[62,x,k[0]]
F[62,x,k[0]] = F[13,x,k[0]]*F[17,x,k[0]]*F[22,x]*F[63,x,k[0]]
F[63,x,k[0]] = F[1,x]+F[64,x,k[0]]
F[64,x,k[0]] = F[65,x,k[0]]
F[65,x,k[0]] = F[24,x,k[0]]*F[63,x,k[0]]
F[66,x,k[0]] = F[67,x,k[0]]
F[67,x,k[0]] = F[13,x,k[0]]*F[22,x]*F[68,x,k[0]]
F[69,x,k[0]] = F[24,x,k[0]]*F[68,x,k[0]]
F[69,x,k[0]] = F[70,x,k[0]]
F[70,x,k[0]] = F[18,x,k[0]]+F[71,x,k[0]]
F[71,x,k[0]] = F[22,x]*F[72,x,k[0]]
F[72,x,k[0]] = F[70,x,k[0]]+F[73,x,k[0]]
F[73,x,k[0]] = F[74,x,k[0]]
F[74,x,k[0]] = F[42,x]*F[48,x]*F[64,x,k[0]]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{22}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{10}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{22}\! \left(x \right) F_{40}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x , 1\right)
F_{14}\! \left(x , y\right) = F_{13}\! \left(x , y\right) F_{24}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = F_{15}\! \left(x , y\right)
F_{16}\! \left(x , y\right) = F_{15}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{16}\! \left(x , y\right) = F_{17}\! \left(x , y\right)+F_{25}\! \left(x , y\right)
F_{17}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{18}\! \left(x , y\right)
F_{18}\! \left(x , y\right) = F_{19}\! \left(x , y\right)
F_{19}\! \left(x , y\right) = F_{20}\! \left(x , y\right) F_{24}\! \left(x , y\right)
F_{20}\! \left(x , y\right) = F_{17}\! \left(x , y\right)+F_{21}\! \left(x , y\right)+F_{23}\! \left(x , y\right)
F_{21}\! \left(x , y\right) = F_{13}\! \left(x , y\right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = x
F_{23}\! \left(x , y\right) = F_{20}\! \left(x , y\right) F_{24}\! \left(x , y\right)
F_{24}\! \left(x , y\right) = y x
F_{25}\! \left(x , y\right) = F_{26}\! \left(x , y\right)
F_{26}\! \left(x , y\right) = F_{22}\! \left(x \right) F_{27}\! \left(x , y\right)
F_{27}\! \left(x , y\right) = F_{28}\! \left(x , y\right)+F_{49}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = F_{29}\! \left(x , y\right)+F_{30}\! \left(x , y\right)
F_{29}\! \left(x , y\right) = -\frac{-F_{16}\! \left(x , y\right) y +F_{16}\! \left(x , 1\right)}{-1+y}
F_{30}\! \left(x , y\right) = F_{31}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{22}\! \left(x \right) F_{32}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = -\frac{-y F_{33}\! \left(x , y\right)+F_{33}\! \left(x , 1\right)}{-1+y}
F_{33}\! \left(x , y\right) = F_{34}\! \left(x , y\right)+F_{37}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{16}\! \left(x , y\right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = \frac{F_{36}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{36}\! \left(x \right) = F_{2}\! \left(x \right)
F_{37}\! \left(x , y\right) = F_{38}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{13}\! \left(x , y\right) F_{22}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{47}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{45}\! \left(x \right)
F_{41}\! \left(x \right) = F_{0}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{1}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{22}\! \left(x \right) F_{42}\! \left(x \right)
F_{45}\! \left(x \right) = F_{42}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = -F_{42}\! \left(x \right)+F_{0}\! \left(x \right)
F_{47}\! \left(x \right) = F_{42}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{35}\! \left(x \right)
F_{49}\! \left(x , y\right) = F_{50}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{24}\! \left(x , y\right) F_{51}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{52}\! \left(x , y\right)+F_{66}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{24}\! \left(x , y\right) F_{52}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{54}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{24}\! \left(x , y\right) F_{55}\! \left(x , y\right)
F_{55}\! \left(x , y\right) = F_{56}\! \left(x , y\right)+F_{59}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = F_{16}\! \left(x , y\right) F_{57}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{24}\! \left(x , y\right) F_{57}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{18}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = F_{60}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = y F_{61}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = F_{62}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = F_{13}\! \left(x , y\right) F_{17}\! \left(x , y\right) F_{22}\! \left(x \right) F_{63}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{64}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{65}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{24}\! \left(x , y\right) F_{63}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = F_{67}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{13}\! \left(x , y\right) F_{22}\! \left(x \right) F_{68}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{24}\! \left(x , y\right) F_{68}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{70}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{18}\! \left(x , y\right)+F_{71}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{22}\! \left(x \right) F_{72}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{70}\! \left(x , y\right)+F_{73}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{74}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{42}\! \left(x \right) F_{48}\! \left(x \right) F_{64}\! \left(x , y\right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_22(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_22(x)*F_8(x))
Eq(F_8(x), F_10(x) + F_9(x))
Eq(F_9(x), F_2(x)*F_4(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_22(x)*F_40(x))
Eq(F_12(x), F_13(x, 1))
Eq(F_14(x, k_0), F_13(x, k_0)*F_24(x, k_0))
Eq(F_14(x, k_0), F_15(x, k_0))
Eq(F_16(x, k_0), F_15(x, k_0) + F_4(x))
Eq(F_16(x, k_0), F_17(x, k_0) + F_25(x, k_0))
Eq(F_17(x, k_0), F_0(x) + F_18(x, k_0))
Eq(F_18(x, k_0), F_19(x, k_0))
Eq(F_19(x, k_0), F_20(x, k_0)*F_24(x, k_0))
Eq(F_20(x, k_0), F_17(x, k_0) + F_21(x, k_0) + F_23(x, k_0))
Eq(F_21(x, k_0), F_13(x, k_0)*F_22(x))
Eq(F_22(x), x)
Eq(F_23(x, k_0), F_20(x, k_0)*F_24(x, k_0))
Eq(F_24(x, k_0), k_0*x)
Eq(F_25(x, k_0), F_26(x, k_0))
Eq(F_26(x, k_0), F_22(x)*F_27(x, k_0))
Eq(F_27(x, k_0), F_28(x, k_0) + F_49(x, k_0))
Eq(F_28(x, k_0), F_29(x, k_0) + F_30(x, k_0))
Eq(F_29(x, k_0), (k_0*F_16(x, k_0) - F_16(x, 1))/(k_0 - 1))
Eq(F_30(x, k_0), F_31(x, k_0))
Eq(F_31(x, k_0), F_22(x)*F_32(x, k_0))
Eq(F_32(x, k_0), (k_0*F_33(x, k_0) - F_33(x, 1))/(k_0 - 1))
Eq(F_33(x, k_0), F_34(x, k_0) + F_37(x, k_0))
Eq(F_34(x, k_0), F_16(x, k_0)*F_35(x))
Eq(F_35(x), F_36(x)/F_22(x))
Eq(F_36(x), F_2(x))
Eq(F_37(x, k_0), F_38(x, k_0))
Eq(F_38(x, k_0), F_13(x, k_0)*F_22(x)*F_39(x))
Eq(F_39(x), F_40(x) + F_47(x))
Eq(F_40(x), F_41(x) + F_45(x))
Eq(F_41(x), F_0(x)*F_42(x))
Eq(F_42(x), F_1(x) + F_43(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_22(x)*F_42(x))
Eq(F_45(x), F_42(x)*F_46(x))
Eq(F_46(x), F_0(x) - F_42(x))
Eq(F_47(x), F_42(x)*F_48(x))
Eq(F_48(x), -F_0(x) + F_35(x))
Eq(F_49(x, k_0), F_50(x, k_0))
Eq(F_50(x, k_0), F_24(x, k_0)*F_51(x, k_0))
Eq(F_51(x, k_0), F_52(x, k_0) + F_66(x, k_0))
Eq(F_53(x, k_0), F_24(x, k_0)*F_52(x, k_0))
Eq(F_53(x, k_0), F_54(x, k_0))
Eq(F_54(x, k_0), F_24(x, k_0)*F_55(x, k_0))
Eq(F_55(x, k_0), F_56(x, k_0) + F_59(x, k_0))
Eq(F_56(x, k_0), F_16(x, k_0)*F_57(x, k_0))
Eq(F_58(x, k_0), F_24(x, k_0)*F_57(x, k_0))
Eq(F_58(x, k_0), F_18(x, k_0))
Eq(F_59(x, k_0), F_60(x, k_0))
Eq(F_60(x, k_0), k_0*F_61(x, k_0))
Eq(F_61(x, k_0), F_62(x, k_0))
Eq(F_62(x, k_0), F_13(x, k_0)*F_17(x, k_0)*F_22(x)*F_63(x, k_0))
Eq(F_63(x, k_0), F_1(x) + F_64(x, k_0))
Eq(F_64(x, k_0), F_65(x, k_0))
Eq(F_65(x, k_0), F_24(x, k_0)*F_63(x, k_0))
Eq(F_66(x, k_0), F_67(x, k_0))
Eq(F_67(x, k_0), F_13(x, k_0)*F_22(x)*F_68(x, k_0))
Eq(F_69(x, k_0), F_24(x, k_0)*F_68(x, k_0))
Eq(F_69(x, k_0), F_70(x, k_0))
Eq(F_70(x, k_0), F_18(x, k_0) + F_71(x, k_0))
Eq(F_71(x, k_0), F_22(x)*F_72(x, k_0))
Eq(F_72(x, k_0), F_70(x, k_0) + F_73(x, k_0))
Eq(F_73(x, k_0), F_74(x, k_0))
Eq(F_74(x, k_0), F_42(x)*F_48(x)*F_64(x, k_0))
Pack JSON:
{"name": "point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [3, 0, 2, 4, 1]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [3, 0, 2, 4, 1]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [3, 0, 2, 4, 1]]}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 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]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], 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