10342_10432_20341_20431
Counting sequence:
1, 1, 2, 6, 24, 116, 632, 3724, 23176, 150192, 1004352, 6887344, 48216416, 343443520, 2482602624, 18174503904, 134526484608, 1005449928896, 7579468229248, 57575733077120, 440374128287488, 3389181946797568, 26230623196817408, 204054534584097536, 1594846131193544192, 12518732751984249856, 98656260348362840064, 780336389398745692160, 6193218197781926600704, 49308836861172167626752, 393744090352267098316800, 3152829200313666983439360, 25310930414684220195440640, 203689293923116041489739776, 1642926130193617833985327104, 13280070188004060546866401280, 107562971433744748931384778752, 872885318248126247771712176128, 7096419749379204394888517877760, 57792075100377787040220430090240, 471418301752016153201550027849728, 3851401620468137029884473615089664, 31511783297424868211166743719510016, 258189647059588214218074572202508288, 2118303963160557622068380001893744640, 17401840198365105906629933622951149568, 143131449351695487915504995334255280128, 1178650607244949288494341936531492241408, 9716811804707790539783545375381963800576, 80192006987104046268582422175741890002944, 662503333077123915188893983045960863318016, 5478693120759773400952675926242544660774912, 45350394298777394487421572319057460827521024, 375737518147364769668843309093677205071855616, 3115821435483217461426044750634347385839419392, 25860146560753392451296560155299743408751378432, 214806048034740155642262474420970760176398237696, 1785691846888261812138573012414672245561239797760, 14855903035383163567437615986552899368626054758400, 123683788860471704362005574919431600869281445707776, 1030473707231774266163963953290394412957905614536704, 8591346168326579410752710174880051728036760349835264, 71676360938246851719715853426933105367736576058064896, 598372778397908915384325025453671334146242788961812480, 4998503737204095444578527139351600369844109172044464128, 41780352456285764180609986592685200079497272193074593792, 349429864924702312120279851525090880792027545055378014208, 2924126146005333643050863982724950508674139285670655426560, 24483472339286109772886849734230203062875766589707339694080, 205108530550505554082206740089283067700358068115574934732800, 1719180689631837166851690527762209097237909258691214164623360, 14417168821265503045423304824243709103296013728149462990192640, 120963109050821190906371754535280610958200999560194594994913280, 1015393755034058436118951052814705108739139384018562852312842240, 8527445645719966365130526732237367849378685169405869260122619904, 71647479699353487873008608313403241383127781363377881779330351104, 602247686337021989909098981435904998502643108691826764920356077568, 5064500384101609159091292802388641244135669051448400235809206173696, 42606955108360377061680444351603684346393415788219454326152466792448, 358593300014406349150595813026974388529151492945153232719497094234112, 3019236688714095224197204995424017723453676010577642533487625442951168, 25430867064688781765604707273145953731823606195684794006735937020624896, 214284151785694513934205999209376187751055000275930128736985942476193792, 1806258165973488540210137250155346361807984324996803502423081840770285568, 15230937427983579109468768821319639689518278089618603906942273326631878656, 128477409876603013342672449423852972750503663502839207910590209033351725056, 1084118257626153292976521784249048686926811849269666422891710179987226099712, 9151090166975686982741913343969763699340579930626953787537991124257496629248, 77270186824408012964996557077744072653375617166082590779961136999901828218880, 652665739939731849814537142061863436727925800490661989297502659945652113375232, 5514501742861452841505169719138082448333968025824175329865545425026986805297152, 46607449164045319114307573357626174799732930272610221956345446828058069637791744, 394035244510105675641267861693579930716470478896525550755295571804161504043859968, 3332289008177386114712453461832104306011033349813519835859249135452614543502475264, 28188721453515707857551303494600751105793252755441353436103925735336937752761466880, 238523172757491007025092927180309023829323188153424523871594982553857879141834031104, 2018857647811806980026966710259987685163570161211900053687108478549921976270857437184, 17092211406493750950859414791514696273615983366553120272954196696004807266987476516864, 144745758771520171212439055124340804929684917876241437123231910351169974178829291225088, 1226100696913622187332787513657418218069532458834956945513820446800190708226845086580736, 10388596296332721810991484691599284355658971427912010544269295463160146555651964822093824
Specification 1
Strategy pack name: requirement_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://permpal.com/tree/25887/
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[49,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[49,x]*F[7,x]
F[7,x] = F[112,x]+F[8,x]
F[8,x] = F[111,x]+F[9,x]
F[9,x] = F[10,x]+F[4,x]
F[10,x] = F[11,x,1]
F[11,x,k[0]] = F[12,x,k[0]]
F[12,x,k[0]] = F[13,x,k[0]]*F[49,x]
F[13,x,k[0]] = F[110,x,k[0]]+F[14,x,k[0]]
F[15,x,k[0]] = F[14,x,k[0]]*F[24,x,k[0]]*F[49,x]
F[15,x,k[0]] = F[16,x,k[0]]
F[16,x,k[0]] = F[17,x,k[0]]
F[17,x,k[0]] = F[18,x,k[0]]*F[49,x]
F[18,x,k[0]] = F[19,x,k[0],1]
F[19,x,k[0],k[1]] = F[20,x,k[0],k[0]*k[1]]
F[20,x,k[0],k[1]] = F[21,x,k[0],k[1]]+F[28,x,k[0],k[1]]
F[21,x,k[0],k[1]] = F[22,x,k[0],k[1]]
F[22,x,k[0],k[1]] = F[23,x,k[0]]*F[23,x,k[1]]
F[23,x,k[0]] = F[16,x,k[0]]+F[24,x,k[0]]
F[24,x,k[0]] = F[1,x]+F[25,x,k[0]]
F[25,x,k[0]] = F[26,x,k[0]]
F[26,x,k[0]] = F[24,x,k[0]]*F[27,x,k[0]]
F[27,x,k[0]] = k[0]*x
F[28,x,k[0],k[1]] = F[29,x,k[0],k[1]]
F[29,x,k[0],k[1]] = F[30,x,k[0],k[1]]*F[49,x]
F[30,x,k[0],k[1]] = F[31,x,k[0],k[1]]
F[31,x,k[0],k[1]] = F[18,x,k[1]]*F[32,x,k[0]]*F[49,x]
F[32,x,k[0]] = F[103,x,k[0]]+F[33,x,k[0]]
F[34,x,k[0]] = F[33,x,k[0]]*F[49,x]
F[34,x,k[0]] = F[35,x,k[0]]
F[36,x,k[0]] = F[101,x,k[0]]+F[35,x,k[0]]
F[36,x,k[0]] = F[13,x,k[0]]+F[37,x,k[0]]
F[37,x,k[0]] = (F[38,x,k[0]]*k[0]-F[38,x,1])/(-1+k[0])
F[38,x,k[0]] = F[39,x,k[0]]
F[39,x,k[0]] = F[40,x,k[0]]*F[49,x]
F[40,x,k[0]] = F[37,x,k[0]]+F[41,x,k[0]]
F[41,x,k[0]] = (F[42,x,k[0]]*k[0]-F[42,x,1])/(-1+k[0])
F[43,x,k[0]] = F[101,x,k[0]]+F[42,x,k[0]]
F[43,x,k[0]] = F[44,x,k[0]]+F[94,x,k[0]]
F[44,x,k[0]] = F[45,x,k[0]]+F[50,x,k[0]]
F[45,x,k[0]] = F[46,x,k[0]]
F[46,x,k[0]] = F[23,x,k[0]]*F[47,x]
F[47,x] = 1/F[49,x]*F[48,x]
F[48,x] = F[2,x]
F[49,x] = x
F[50,x,k[0]] = F[51,x,k[0]]
F[51,x,k[0]] = F[49,x]*F[52,x,k[0]]
F[52,x,k[0]] = F[53,x,k[0]]
F[53,x,k[0]] = F[32,x,k[0]]*F[49,x]*F[54,x]
F[54,x] = F[55,x]+F[64,x]
F[55,x] = F[0,x]+F[56,x]
F[56,x] = -F[59,x]+F[57,x]
F[57,x] = 1/F[49,x]*F[58,x]
F[58,x] = F[59,x]
F[59,x] = -F[60,x]+F[0,x]
F[60,x] = F[61,x]
F[61,x] = F[1,x]+F[62,x]
F[62,x] = F[63,x]
F[63,x] = F[49,x]*F[61,x]
F[64,x] = F[65,x]
F[65,x] = F[49,x]*F[66,x]
F[66,x] = -F[70,x]+F[67,x]
F[67,x] = F[68,x,1]
F[69,x,k[0]] = F[49,x]*F[68,x,k[0]]
F[69,x,k[0]] = F[42,x,k[0]]
F[70,x] = -F[92,x]+F[71,x]
F[71,x] = 1/F[49,x]*F[72,x]
F[72,x] = F[73,x]
F[73,x] = -F[74,x]+F[7,x]
F[74,x] = F[75,x]
F[75,x] = F[76,x]+F[78,x]
F[76,x] = F[77,x]
F[77,x] = F[0,x]*F[8,x]
F[78,x] = -F[84,x]+F[79,x]
F[79,x] = 1/F[49,x]*F[80,x]
F[80,x] = F[81,x]
F[81,x] = -F[82,x]+F[4,x]
F[82,x] = F[83,x]
F[83,x] = F[0,x]^2
F[84,x] = F[85,x]
F[85,x] = F[0,x]*F[49,x]*F[86,x]
F[86,x] = 1/F[49,x]/F[55,x]*F[87,x]
F[87,x] = F[88,x]
F[88,x] = -F[91,x]+F[89,x]
F[89,x] = 1/F[49,x]*F[90,x]
F[90,x] = F[56,x]
F[91,x] = F[0,x]*F[47,x]
F[92,x] = F[93,x]
F[93,x] = F[47,x]*F[49,x]*F[70,x]
F[94,x,k[0]] = F[95,x,k[0]]
F[95,x,k[0]] = F[49,x]*F[96,x,k[0]]
F[96,x,k[0]] = F[97,x,k[0]]
F[97,x,k[0]] = F[32,x,k[0]]*F[49,x]*F[98,x]
F[98,x] = F[47,x]+F[99,x]
F[99,x] = F[100,x]
F[100,x] = F[49,x]*F[86,x]
F[101,x,k[0]] = F[102,x,k[0]]+F[38,x,k[0]]
F[102,x,k[0]] = F[11,x,k[0]]+F[23,x,k[0]]
F[104,x,k[0]] = F[103,x,k[0]]*F[47,x]*F[49,x]
F[104,x,k[0]] = F[105,x,k[0]]
F[105,x,k[0]] = F[106,x,k[0]]*F[47,x]*F[49,x]
F[106,x,k[0]] = (F[107,x,k[0]]-F[107,x,1])/(-1+k[0])
F[107,x,k[0]] = F[108,x,k[0]]
F[109,x,k[0]] = F[108,x,k[0]]+F[66,x]
F[109,x,k[0]] = F[68,x,k[0]]
F[110,x,k[0]] = (F[11,x,k[0]]*k[0]-F[11,x,1])/(-1+k[0])
F[111,x] = F[38,x,1]
F[112,x] = F[113,x]
F[113,x] = F[49,x]*F[67,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_{49}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{49}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{112}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{111}\! \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 , 1\right)
F_{11}\! \left(x , y\right) = F_{12}\! \left(x , y\right)
F_{12}\! \left(x , y\right) = F_{13}\! \left(x , y\right) F_{49}\! \left(x \right)
F_{13}\! \left(x , y\right) = F_{110}\! \left(x , y\right)+F_{14}\! \left(x , y\right)
F_{15}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{24}\! \left(x , y\right) F_{49}\! \left(x \right)
F_{15}\! \left(x , y\right) = F_{16}\! \left(x , y\right)
F_{16}\! \left(x , y\right) = F_{17}\! \left(x , y\right)
F_{17}\! \left(x , y\right) = F_{18}\! \left(x , y\right) F_{49}\! \left(x \right)
F_{18}\! \left(x , y\right) = F_{19}\! \left(x , y , 1\right)
F_{19}\! \left(x , y , z\right) = F_{20}\! \left(x , y , y z \right)
F_{20}\! \left(x , y , z\right) = F_{21}\! \left(x , y , z\right)+F_{28}\! \left(x , y , z\right)
F_{21}\! \left(x , y , z\right) = F_{22}\! \left(x , y , z\right)
F_{22}\! \left(x , y , z\right) = F_{23}\! \left(x , y\right) F_{23}\! \left(x , z\right)
F_{23}\! \left(x , y\right) = F_{16}\! \left(x , y\right)+F_{24}\! \left(x , y\right)
F_{24}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{25}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{26}\! \left(x , y\right)
F_{26}\! \left(x , y\right) = F_{24}\! \left(x , y\right) F_{27}\! \left(x , y\right)
F_{27}\! \left(x , y\right) = y x
F_{28}\! \left(x , y , z\right) = F_{29}\! \left(x , y , z\right)
F_{29}\! \left(x , y , z\right) = F_{30}\! \left(x , y , z\right) F_{49}\! \left(x \right)
F_{30}\! \left(x , y , z\right) = F_{31}\! \left(x , y , z\right)
F_{31}\! \left(x , y , z\right) = F_{18}\! \left(x , z\right) F_{32}\! \left(x , y\right) F_{49}\! \left(x \right)
F_{32}\! \left(x , y\right) = F_{103}\! \left(x , y\right)+F_{33}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{33}\! \left(x , y\right) F_{49}\! \left(x \right)
F_{34}\! \left(x , y\right) = F_{35}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{101}\! \left(x , y\right)+F_{35}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{37}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = -\frac{-F_{38}\! \left(x , y\right) y +F_{38}\! \left(x , 1\right)}{-1+y}
F_{38}\! \left(x , y\right) = F_{39}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{40}\! \left(x , y\right) F_{49}\! \left(x \right)
F_{40}\! \left(x , y\right) = F_{37}\! \left(x , y\right)+F_{41}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = -\frac{-F_{42}\! \left(x , y\right) y +F_{42}\! \left(x , 1\right)}{-1+y}
F_{43}\! \left(x , y\right) = F_{101}\! \left(x , y\right)+F_{42}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{44}\! \left(x , y\right)+F_{94}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{45}\! \left(x , y\right)+F_{50}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{46}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{23}\! \left(x , y\right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{49}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{2}\! \left(x \right)
F_{49}\! \left(x \right) = x
F_{50}\! \left(x , y\right) = F_{51}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{49}\! \left(x \right) F_{52}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{53}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{32}\! \left(x , y\right) F_{49}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{64}\! \left(x \right)
F_{55}\! \left(x \right) = F_{0}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = -F_{59}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = \frac{F_{58}\! \left(x \right)}{F_{49}\! \left(x \right)}
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = -F_{60}\! \left(x \right)+F_{0}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{1}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{49}\! \left(x \right) F_{61}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{49}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{70}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x , 1\right)
F_{69}\! \left(x , y\right) = F_{49}\! \left(x \right) F_{68}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{42}\! \left(x , y\right)
F_{70}\! \left(x \right) = -F_{92}\! \left(x \right)+F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = \frac{F_{72}\! \left(x \right)}{F_{49}\! \left(x \right)}
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = -F_{74}\! \left(x \right)+F_{7}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{78}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{0}\! \left(x \right) F_{8}\! \left(x \right)
F_{78}\! \left(x \right) = -F_{84}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = \frac{F_{80}\! \left(x \right)}{F_{49}\! \left(x \right)}
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = -F_{82}\! \left(x \right)+F_{4}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{0} \left(x \right)^{2}
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{0}\! \left(x \right) F_{49}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{49}\! \left(x \right) F_{55}\! \left(x \right)}
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = -F_{91}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = \frac{F_{90}\! \left(x \right)}{F_{49}\! \left(x \right)}
F_{90}\! \left(x \right) = F_{56}\! \left(x \right)
F_{91}\! \left(x \right) = F_{0}\! \left(x \right) F_{47}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{47}\! \left(x \right) F_{49}\! \left(x \right) F_{70}\! \left(x \right)
F_{94}\! \left(x , y\right) = F_{95}\! \left(x , y\right)
F_{95}\! \left(x , y\right) = F_{49}\! \left(x \right) F_{96}\! \left(x , y\right)
F_{96}\! \left(x , y\right) = F_{97}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{32}\! \left(x , y\right) F_{49}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{47}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{49}\! \left(x \right) F_{86}\! \left(x \right)
F_{101}\! \left(x , y\right) = F_{102}\! \left(x , y\right)+F_{38}\! \left(x , y\right)
F_{102}\! \left(x , y\right) = F_{11}\! \left(x , y\right)+F_{23}\! \left(x , y\right)
F_{104}\! \left(x , y\right) = F_{103}\! \left(x , y\right) F_{47}\! \left(x \right) F_{49}\! \left(x \right)
F_{104}\! \left(x , y\right) = F_{105}\! \left(x , y\right)
F_{105}\! \left(x , y\right) = F_{106}\! \left(x , y\right) F_{47}\! \left(x \right) F_{49}\! \left(x \right)
F_{106}\! \left(x , y\right) = -\frac{-F_{107}\! \left(x , y\right)+F_{107}\! \left(x , 1\right)}{-1+y}
F_{107}\! \left(x , y\right) = F_{108}\! \left(x , y\right)
F_{109}\! \left(x , y\right) = F_{108}\! \left(x , y\right)+F_{66}\! \left(x \right)
F_{109}\! \left(x , y\right) = F_{68}\! \left(x , y\right)
F_{110}\! \left(x , y\right) = -\frac{-y F_{11}\! \left(x , y\right)+F_{11}\! \left(x , 1\right)}{-1+y}
F_{111}\! \left(x \right) = F_{38}\! \left(x , 1\right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{49}\! \left(x \right) F_{67}\! \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_49(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_49(x)*F_7(x))
Eq(F_7(x), F_112(x) + F_8(x))
Eq(F_8(x), F_111(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_4(x))
Eq(F_10(x), F_11(x, 1))
Eq(F_11(x, k_0), F_12(x, k_0))
Eq(F_12(x, k_0), F_13(x, k_0)*F_49(x))
Eq(F_13(x, k_0), F_110(x, k_0) + F_14(x, k_0))
Eq(F_15(x, k_0), F_14(x, k_0)*F_24(x, k_0)*F_49(x))
Eq(F_15(x, k_0), F_16(x, k_0))
Eq(F_16(x, k_0), F_17(x, k_0))
Eq(F_17(x, k_0), F_18(x, k_0)*F_49(x))
Eq(F_18(x, k_0), F_19(x, k_0, 1))
Eq(F_19(x, k_0, k_1), F_20(x, k_0, k_0*k_1))
Eq(F_20(x, k_0, k_1), F_21(x, k_0, k_1) + F_28(x, k_0, k_1))
Eq(F_21(x, k_0, k_1), F_22(x, k_0, k_1))
Eq(F_22(x, k_0, k_1), F_23(x, k_0)*F_23(x, k_1))
Eq(F_23(x, k_0), F_16(x, k_0) + F_24(x, k_0))
Eq(F_24(x, k_0), F_1(x) + F_25(x, k_0))
Eq(F_25(x, k_0), F_26(x, k_0))
Eq(F_26(x, k_0), F_24(x, k_0)*F_27(x, k_0))
Eq(F_27(x, k_0), k_0*x)
Eq(F_28(x, k_0, k_1), F_29(x, k_0, k_1))
Eq(F_29(x, k_0, k_1), F_30(x, k_0, k_1)*F_49(x))
Eq(F_30(x, k_0, k_1), F_31(x, k_0, k_1))
Eq(F_31(x, k_0, k_1), F_18(x, k_1)*F_32(x, k_0)*F_49(x))
Eq(F_32(x, k_0), F_103(x, k_0) + F_33(x, k_0))
Eq(F_34(x, k_0), F_33(x, k_0)*F_49(x))
Eq(F_34(x, k_0), F_35(x, k_0))
Eq(F_36(x, k_0), F_101(x, k_0) + F_35(x, k_0))
Eq(F_36(x, k_0), F_13(x, k_0) + F_37(x, k_0))
Eq(F_37(x, k_0), (-k_0*F_38(x, k_0) + F_38(x, 1))/(1 - k_0))
Eq(F_38(x, k_0), F_39(x, k_0))
Eq(F_39(x, k_0), F_40(x, k_0)*F_49(x))
Eq(F_40(x, k_0), F_37(x, k_0) + F_41(x, k_0))
Eq(F_41(x, k_0), (-k_0*F_42(x, k_0) + F_42(x, 1))/(1 - k_0))
Eq(F_43(x, k_0), F_101(x, k_0) + F_42(x, k_0))
Eq(F_43(x, k_0), F_44(x, k_0) + F_94(x, k_0))
Eq(F_44(x, k_0), F_45(x, k_0) + F_50(x, k_0))
Eq(F_45(x, k_0), F_46(x, k_0))
Eq(F_46(x, k_0), F_23(x, k_0)*F_47(x))
Eq(F_47(x), F_48(x)/F_49(x))
Eq(F_48(x), F_2(x))
Eq(F_49(x), x)
Eq(F_50(x, k_0), F_51(x, k_0))
Eq(F_51(x, k_0), F_49(x)*F_52(x, k_0))
Eq(F_52(x, k_0), F_53(x, k_0))
Eq(F_53(x, k_0), F_32(x, k_0)*F_49(x)*F_54(x))
Eq(F_54(x), F_55(x) + F_64(x))
Eq(F_55(x), F_0(x) + F_56(x))
Eq(F_56(x), F_57(x) - F_59(x))
Eq(F_57(x), F_58(x)/F_49(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_0(x) - F_60(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_1(x) + F_62(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_49(x)*F_61(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_49(x)*F_66(x))
Eq(F_66(x), F_67(x) - F_70(x))
Eq(F_67(x), F_68(x, 1))
Eq(F_69(x, k_0), F_49(x)*F_68(x, k_0))
Eq(F_69(x, k_0), F_42(x, k_0))
Eq(F_70(x), F_71(x) - F_92(x))
Eq(F_71(x), F_72(x)/F_49(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_7(x) - F_74(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_76(x) + F_78(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_0(x)*F_8(x))
Eq(F_78(x), F_79(x) - F_84(x))
Eq(F_79(x), F_80(x)/F_49(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_4(x) - F_82(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_0(x)**2)
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_0(x)*F_49(x)*F_86(x))
Eq(F_86(x), F_87(x)/(F_49(x)*F_55(x)))
Eq(F_87(x), F_88(x))
Eq(F_88(x), F_89(x) - F_91(x))
Eq(F_89(x), F_90(x)/F_49(x))
Eq(F_90(x), F_56(x))
Eq(F_91(x), F_0(x)*F_47(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_47(x)*F_49(x)*F_70(x))
Eq(F_94(x, k_0), F_95(x, k_0))
Eq(F_95(x, k_0), F_49(x)*F_96(x, k_0))
Eq(F_96(x, k_0), F_97(x, k_0))
Eq(F_97(x, k_0), F_32(x, k_0)*F_49(x)*F_98(x))
Eq(F_98(x), F_47(x) + F_99(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_49(x)*F_86(x))
Eq(F_101(x, k_0), F_102(x, k_0) + F_38(x, k_0))
Eq(F_102(x, k_0), F_11(x, k_0) + F_23(x, k_0))
Eq(F_104(x, k_0), F_103(x, k_0)*F_47(x)*F_49(x))
Eq(F_104(x, k_0), F_105(x, k_0))
Eq(F_105(x, k_0), F_106(x, k_0)*F_47(x)*F_49(x))
Eq(F_106(x, k_0), -F_107(x, k_0) + (-k_0*F_107(x, k_0) + F_107(x, 1))/(1 - k_0))
Eq(F_107(x, k_0), F_108(x, k_0))
Eq(F_109(x, k_0), F_108(x, k_0) + F_66(x))
Eq(F_109(x, k_0), F_68(x, k_0))
Eq(F_110(x, k_0), (-k_0*F_11(x, k_0) + F_11(x, 1))/(1 - k_0))
Eq(F_111(x), F_38(x, 1))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_49(x)*F_67(x))
Pack JSON:
{"name": "requirement_placements_tracked_fusion_tracked_component_fusion_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "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]], "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]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionFactory", "ignore_parent": false, "maxreqlen": 2, "extra_basis": [], "limited_insertion": true, "allow_factorable_insertions": true}, {"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]]}], "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]]}], "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": [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]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, {"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]]}], "requirements": [[{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": false, "gps": [{"patt": [0, 1], "pos": [[0, 0], [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], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, 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