Independent generated check. The main row-03 proof is now GenusFiveTwoPoleClosed.row03_closedConstruction; this module preserves an additional exact replay.

Generated exact replay of the fixed AR row-03 divisor. cells_check and tree_check replay every arithmetic obligation in the kernel.

def AtanasovRanganathan.GenusFiveRow03FixedCover.aff (data : List ℤ) : Utilities.Certificate.ExplicitPotential.AffineForm 12

Decode an integer coefficient list as a twelve-variable affine form: the first entry is the constant and missing entries are zero.

Equations

• AtanasovRanganathan.GenusFiveRow03FixedCover.aff data = { fixedValue := data.getD 0 0, coefficient := fun (coordinate : Fin 12) => data.getD (↑coordinate + 1) 0 }

def AtanasovRanganathan.GenusFiveRow03FixedCover.rowDivisor : Fin 8 → ℤ

The fixed degree-four row-03 divisor, with one chip at each of vertices zero, one, four, and five.

Equations

• AtanasovRanganathan.GenusFiveRow03FixedCover.rowDivisor vertex = [1, 1, 0, 0, 1, 1, 0, 0].getD (↑vertex) 0

def AtanasovRanganathan.GenusFiveRow03FixedCover.defaultWitness : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

The zero endpoint slopes and zero core potential used for an out-of-range witness-table lookup.

Equations

• AtanasovRanganathan.GenusFiveRow03FixedCover.defaultWitness = { alpha := fun (x : Fin 12) => 0, beta := fun (x : Fin 12) => 0, potential := fun (x : Fin 8) => 0 }

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness0 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 0 for the row-03 closed cover: alpha is zero. beta is zero. The affine potential is zero.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness1 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 1 for the row-03 closed cover: alpha is 1 at slots 5, 6, 8, and zero elsewhere. beta is -1 at slots 5, 6, 7, 8, and zero elsewhere. The nonzero affine potentials occur at vertices 4, 5, 6, 7.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness2 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 2 for the row-03 closed cover: alpha is 1 at slots 6, 7, 8, and zero elsewhere. beta is -1 at slots 5, 6, 7, 8, and zero elsewhere. The nonzero affine potentials occur at vertices 4, 5, 6, 7.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness3 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 3 for the row-03 closed cover: alpha is 1 at slots 6, and zero elsewhere. beta is -1 at slots 6, 8, and zero elsewhere. The nonzero affine potentials occur at vertices 4, 5.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness4 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 4 for the row-03 closed cover: alpha is 1 at slots 8, and zero elsewhere. beta is -1 at slots 6, 8, and zero elsewhere. The nonzero affine potentials occur at vertices 4, 5.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness5 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 5 for the row-03 closed cover: alpha is -1 at slots 0; 1 at slots 5, 8, 11, and zero elsewhere. beta is -1 at slots 1, 5, 6, 8, 11, and zero elsewhere. The nonzero affine potentials occur at vertices 2, 4, 5, 6.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness6 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 6 for the row-03 closed cover: alpha is -1 at slots 2; 1 at slots 7, 8, and zero elsewhere. beta is -1 at slots 3, 6, 7, 8, and zero elsewhere. The nonzero affine potentials occur at vertices 3, 4, 5.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness7 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 7 for the row-03 closed cover: alpha is -1 at slots 0; 1 at slots 8, 11, and zero elsewhere. beta is -1 at slots 1, 6, 8, 11, and zero elsewhere. The nonzero affine potentials occur at vertices 2, 4, 5, 6.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness8 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 8 for the row-03 closed cover: alpha is -1 at slots 2; 1 at slots 3, 8, and zero elsewhere. beta is -1 at slots 3, 6, 7, 8, and zero elsewhere. The nonzero affine potentials occur at vertices 3, 4, 5.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness9 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 9 for the row-03 closed cover: alpha is -1 at slots 0; 1 at slots 1, 8, 11, and zero elsewhere. beta is -1 at slots 1, 5, 6, 8, 11, and zero elsewhere. The nonzero affine potentials occur at vertices 2, 4, 5, 6.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness10 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 10 for the row-03 closed cover: alpha is -1 at slots 0; 1 at slots 1, 8, and zero elsewhere. beta is -1 at slots 1, 6, 8, 11, and zero elsewhere. The nonzero affine potentials occur at vertices 2, 4, 5, 6.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness11 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 11 for the row-03 closed cover: alpha is -1 at slots 0, 5; 1 at slots 1, 8, 11, and zero elsewhere. beta is -1 at slots 1, 6, 8, 11, and zero elsewhere. The nonzero affine potentials occur at vertices 2, 4, 5, 6.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness12 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 12 for the row-03 closed cover: alpha is -1 at slots 0, 5; 1 at slots 1, 8, and zero elsewhere. beta is -1 at slots 1, 6, 8, 11; 1 at slots 5, and zero elsewhere. The nonzero affine potentials occur at vertices 2, 4, 5, 6.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness13 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 13 for the row-03 closed cover: alpha is -1 at slots 2; 1 at slots 8, and zero elsewhere. beta is -1 at slots 3, 6, 7, 8; 1 at slots 2, and zero elsewhere. The nonzero affine potentials occur at vertices 3, 4, 5.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness14 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 14 for the row-03 closed cover: alpha is -1 at slots 0; 1 at slots 1, 6, 8, and zero elsewhere. beta is -1 at slots 1, 6, 8, 11, and zero elsewhere. The nonzero affine potentials occur at vertices 2, 4, 5, 6.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness15 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 15 for the row-03 closed cover: alpha is -1 at slots 0; 1 at slots 8, 11, and zero elsewhere. beta is -1 at slots 1, 5, 6, 8, 11; 1 at slots 0, and zero elsewhere. The nonzero affine potentials occur at vertices 2, 4, 5, 6.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness16 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 16 for the row-03 closed cover: alpha is -1 at slots 0; 1 at slots 1, 8, 11, and zero elsewhere. beta is -1 at slots 1, 6, 8, 11, and zero elsewhere. The nonzero affine potentials occur at vertices 2, 4, 5, 6.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness17 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 17 for the row-03 closed cover: alpha is -1 at slots 0; 1 at slots 8, and zero elsewhere. beta is -1 at slots 1, 6, 8, 11; 1 at slots 0, and zero elsewhere. The nonzero affine potentials occur at vertices 2, 4, 5, 6.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness18 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 18 for the row-03 closed cover: alpha is -1 at slots 0, 5; 1 at slots 8, 11, and zero elsewhere. beta is -1 at slots 1, 6, 8, 11; 1 at slots 0, and zero elsewhere. The nonzero affine potentials occur at vertices 2, 4, 5, 6.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness19 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 19 for the row-03 closed cover: alpha is -1 at slots 0, 5; 1 at slots 8, and zero elsewhere. beta is -1 at slots 1, 6, 8, 11; 1 at slots 0, 5, and zero elsewhere. The nonzero affine potentials occur at vertices 2, 4, 5, 6.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness20 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 20 for the row-03 closed cover: alpha is 1 at slots 5, 6, 7, 8, and zero elsewhere. beta is -1 at slots 5, 6, 7, 8, and zero elsewhere. The nonzero affine potentials occur at vertices 4, 5, 6, 7.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness21 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 21 for the row-03 closed cover: alpha is -1 at slots 0; 1 at slots 6, 8, and zero elsewhere. beta is -1 at slots 1, 6, 8, 11, and zero elsewhere. The nonzero affine potentials occur at vertices 2, 4, 5, 6.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness22 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 22 for the row-03 closed cover: alpha is -1 at slots 0; 1 at slots 1, 6, 8, and zero elsewhere. beta is -1 at slots 1, 5, 6, 8, 11, and zero elsewhere. The nonzero affine potentials occur at vertices 2, 4, 5, 6.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness23 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 23 for the row-03 closed cover: alpha is -1 at slots 0; 1 at slots 5, 6, 8, and zero elsewhere. beta is -1 at slots 1, 5, 6, 8, 11, and zero elsewhere. The nonzero affine potentials occur at vertices 2, 4, 5, 6.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness24 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 24 for the row-03 closed cover: alpha is -1 at slots 0; 1 at slots 6, 8, and zero elsewhere. beta is -1 at slots 1, 5, 6, 8, 11; 1 at slots 0, and zero elsewhere. The nonzero affine potentials occur at vertices 2, 4, 5, 6.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness25 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 25 for the row-03 closed cover: alpha is -1 at slots 0, 5; 1 at slots 6, 8, and zero elsewhere. beta is -1 at slots 1, 6, 8, 11; 1 at slots 0, and zero elsewhere. The nonzero affine potentials occur at vertices 2, 4, 5, 6.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness26 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 26 for the row-03 closed cover: alpha is -1 at slots 0; 1 at slots 8, 11, and zero elsewhere. beta is -1 at slots 1, 6, 8, 11; 1 at slots 0, and zero elsewhere. The nonzero affine potentials occur at vertices 2, 4, 5, 6.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness27 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 27 for the row-03 closed cover: alpha is -1 at slots 0, 5; 1 at slots 1, 6, 8, and zero elsewhere. beta is -1 at slots 1, 6, 8, 11, and zero elsewhere. The nonzero affine potentials occur at vertices 2, 4, 5, 6.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness28 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 28 for the row-03 closed cover: alpha is -1 at slots 0; 1 at slots 6, 8, and zero elsewhere. beta is -1 at slots 1, 6, 8, 11; 1 at slots 0, and zero elsewhere. The nonzero affine potentials occur at vertices 2, 4, 5, 6.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness29 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 29 for the row-03 closed cover: alpha is -1 at slots 0; 1 at slots 5, 6, and zero elsewhere. beta is -1 at slots 1, 5, 6, 8, and zero elsewhere. The nonzero affine potentials occur at vertices 2, 4, 5.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness30 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 30 for the row-03 closed cover: alpha is -1 at slots 0; 1 at slots 6, and zero elsewhere. beta is -1 at slots 1, 5, 6, 8; 1 at slots 0, and zero elsewhere. The nonzero affine potentials occur at vertices 2, 4, 5.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness31 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 31 for the row-03 closed cover: alpha is -1 at slots 0; 1 at slots 1, 6, and zero elsewhere. beta is -1 at slots 1, 5, 6, 8, and zero elsewhere. The nonzero affine potentials occur at vertices 2, 4, 5.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness32 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 32 for the row-03 closed cover: alpha is -1 at slots 2, 11; 1 at slots 6, 7, and zero elsewhere. beta is -1 at slots 3, 6, 7, 8; 1 at slots 11, and zero elsewhere. The nonzero affine potentials occur at vertices 3, 4, 5, 7.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness33 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 33 for the row-03 closed cover: alpha is -1 at slots 2, 11; 1 at slots 6, and zero elsewhere. beta is -1 at slots 3, 6, 8; 1 at slots 11, and zero elsewhere. The nonzero affine potentials occur at vertices 3, 4, 5, 7.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness34 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 34 for the row-03 closed cover: alpha is -1 at slots 2, 11; 1 at slots 3, 6, and zero elsewhere. beta is -1 at slots 3, 6, 7, 8; 1 at slots 11, and zero elsewhere. The nonzero affine potentials occur at vertices 3, 4, 5, 7.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness35 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 35 for the row-03 closed cover: alpha is -1 at slots 2, 11; 1 at slots 3, 6, and zero elsewhere. beta is -1 at slots 3, 6, 8, and zero elsewhere. The nonzero affine potentials occur at vertices 3, 4, 5, 7.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness36 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 36 for the row-03 closed cover: alpha is -1 at slots 2, 7, 11; 1 at slots 3, 6, and zero elsewhere. beta is -1 at slots 3, 6, 8; 1 at slots 11, and zero elsewhere. The nonzero affine potentials occur at vertices 3, 4, 5, 7.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness37 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 37 for the row-03 closed cover: alpha is -1 at slots 2, 7, 11; 1 at slots 3, 6, and zero elsewhere. beta is -1 at slots 3, 6, 8; 1 at slots 7, and zero elsewhere. The nonzero affine potentials occur at vertices 3, 4, 5, 7.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness38 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 38 for the row-03 closed cover: alpha is -1 at slots 2, 11; 1 at slots 6, and zero elsewhere. beta is -1 at slots 3, 6, 7, 8; 1 at slots 2, 11, and zero elsewhere. The nonzero affine potentials occur at vertices 3, 4, 5, 7.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness39 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 39 for the row-03 closed cover: alpha is -1 at slots 2, 11; 1 at slots 6, and zero elsewhere. beta is -1 at slots 3, 6, 8; 1 at slots 2, and zero elsewhere. The nonzero affine potentials occur at vertices 3, 4, 5, 7.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness40 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 40 for the row-03 closed cover: alpha is -1 at slots 2, 7, 11; 1 at slots 6, and zero elsewhere. beta is -1 at slots 3, 6, 8; 1 at slots 2, 11, and zero elsewhere. The nonzero affine potentials occur at vertices 3, 4, 5, 7.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness41 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 41 for the row-03 closed cover: alpha is -1 at slots 2, 7, 11; 1 at slots 3, 6, 8, and zero elsewhere. beta is -1 at slots 3, 6, 8, and zero elsewhere. The nonzero affine potentials occur at vertices 3, 4, 5, 7.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness42 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 42 for the row-03 closed cover: alpha is -1 at slots 2, 11; 1 at slots 3, 6, and zero elsewhere. beta is -1 at slots 3, 6, 8; 1 at slots 11, and zero elsewhere. The nonzero affine potentials occur at vertices 3, 4, 5, 7.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness43 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 43 for the row-03 closed cover: alpha is -1 at slots 2, 7, 11; 1 at slots 6, and zero elsewhere. beta is -1 at slots 3, 6, 8; 1 at slots 2, 7, and zero elsewhere. The nonzero affine potentials occur at vertices 3, 4, 5, 7.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness44 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 44 for the row-03 closed cover: alpha is -1 at slots 2, 11; 1 at slots 6, 7, 8, and zero elsewhere. beta is -1 at slots 3, 6, 7, 8, and zero elsewhere. The nonzero affine potentials occur at vertices 3, 4, 5, 7.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness45 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 45 for the row-03 closed cover: alpha is -1 at slots 2, 11; 1 at slots 6, 8, and zero elsewhere. beta is -1 at slots 3, 6, 8, and zero elsewhere. The nonzero affine potentials occur at vertices 3, 4, 5, 7.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness46 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 46 for the row-03 closed cover: alpha is -1 at slots 2, 11; 1 at slots 3, 6, 8, and zero elsewhere. beta is -1 at slots 3, 6, 7, 8, and zero elsewhere. The nonzero affine potentials occur at vertices 3, 4, 5, 7.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness47 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 47 for the row-03 closed cover: alpha is -1 at slots 2, 11; 1 at slots 6, 8, and zero elsewhere. beta is -1 at slots 3, 6, 7, 8; 1 at slots 2, and zero elsewhere. The nonzero affine potentials occur at vertices 3, 4, 5, 7.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness48 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 48 for the row-03 closed cover: alpha is -1 at slots 2, 7, 11; 1 at slots 6, 8, and zero elsewhere. beta is -1 at slots 3, 6, 8; 1 at slots 2, and zero elsewhere. The nonzero affine potentials occur at vertices 3, 4, 5, 7.

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• One or more equations did not get rendered due to their size.

def AtanasovRanganathan.GenusFiveRow03FixedCover.witness49 : Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12

Endpoint-slope witness 49 for the row-03 closed cover: alpha is -1 at slots 2, 11; 1 at slots 6, and zero elsewhere. beta is -1 at slots 3, 6, 8; 1 at slots 2, 11, and zero elsewhere. The nonzero affine potentials occur at vertices 3, 4, 5, 7.

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def AtanasovRanganathan.GenusFiveRow03FixedCover.witnesses : List (Utilities.Certificate.ExplicitPotential.AnchorWitness 12 8 12)

The fifty endpoint-slope and affine-potential witnesses shared by the row-03 closed-cover cells.

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def AtanasovRanganathan.GenusFiveRow03FixedCover.cell0 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 0 for the fixed row-03 divisor, with 16 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 1, 2, 0, 0, 3, 4]; cell0_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell0_check : cell0.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell1 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 1 for the fixed row-03 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 5, 6, 0, 0, 7, 4]; cell1_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell1_check : cell1.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell2 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 2 for the fixed row-03 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 5, 8, 0, 0, 7, 4]; cell2_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell2_check : cell2.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell3 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 3 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 9, 6, 0, 0, 7, 4]; cell3_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell3_check : cell3.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell4 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 4 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 9, 8, 0, 0, 7, 4]; cell4_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell4_check : cell4.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell5 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 5 for the fixed row-03 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 10, 6, 0, 0, 11, 4]; cell5_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell5_check : cell5.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell6 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 6 for the fixed row-03 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 10, 8, 0, 0, 11, 4]; cell6_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell6_check : cell6.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell7 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 7 for the fixed row-03 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 10, 6, 0, 0, 12, 4]; cell7_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell7_check : cell7.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell8 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 8 for the fixed row-03 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 10, 8, 0, 0, 12, 4]; cell8_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell8_check : cell8.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell9 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 9 for the fixed row-03 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 5, 13, 0, 0, 7, 4]; cell9_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell9_check : cell9.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell10 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 10 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 9, 13, 0, 0, 7, 4]; cell10_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell10_check : cell10.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell11 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 11 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 10, 13, 0, 0, 14, 4]; cell11_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell11_check : cell11.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell12 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 12 for the fixed row-03 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 10, 13, 0, 0, 11, 4]; cell12_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell12_check : cell12.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell13 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 13 for the fixed row-03 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 10, 13, 0, 0, 12, 4]; cell13_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell13_check : cell13.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell14 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 14 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 15, 6, 0, 0, 7, 4]; cell14_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell14_check : cell14.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell15 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 15 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 15, 8, 0, 0, 7, 4]; cell15_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell15_check : cell15.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell16 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 16 for the fixed row-03 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 10, 6, 0, 0, 7, 4]; cell16_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell16_check : cell16.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell17 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 17 for the fixed row-03 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 10, 8, 0, 0, 7, 4]; cell17_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell17_check : cell17.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell18 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 18 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 15, 13, 0, 0, 7, 4]; cell18_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell18_check : cell18.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell19 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 19 for the fixed row-03 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 10, 13, 0, 0, 7, 4]; cell19_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell19_check : cell19.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell20 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 20 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 16, 13, 0, 0, 7, 4]; cell20_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell20_check : cell20.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell21 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 21 for the fixed row-03 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 17, 6, 0, 0, 18, 4]; cell21_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell21_check : cell21.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell22 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 22 for the fixed row-03 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 17, 13, 0, 0, 18, 4]; cell22_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell22_check : cell22.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell23 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 23 for the fixed row-03 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 10, 6, 0, 0, 16, 4]; cell23_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell23_check : cell23.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell24 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 24 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 10, 6, 0, 0, 14, 4]; cell24_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell24_check : cell24.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell25 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 25 for the fixed row-03 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 17, 8, 0, 0, 18, 4]; cell25_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell25_check : cell25.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell26 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 26 for the fixed row-03 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 10, 8, 0, 0, 16, 4]; cell26_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell26_check : cell26.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell27 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 27 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 10, 8, 0, 0, 14, 4]; cell27_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell27_check : cell27.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell28 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 28 for the fixed row-03 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 17, 6, 0, 0, 19, 4]; cell28_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell28_check : cell28.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell29 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 29 for the fixed row-03 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 17, 8, 0, 0, 19, 4]; cell29_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell29_check : cell29.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell30 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 30 for the fixed row-03 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 17, 13, 0, 0, 19, 4]; cell30_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell30_check : cell30.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell31 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 31 for the fixed row-03 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 20, 6, 0, 0, 21, 4]; cell31_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell31_check : cell31.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell32 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 32 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 22, 6, 0, 0, 21, 4]; cell32_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell32_check : cell32.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell33 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 33 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 23, 6, 0, 0, 21, 4]; cell33_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell33_check : cell33.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell34 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 34 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 24, 6, 0, 0, 21, 4]; cell34_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell34_check : cell34.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell35 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 35 for the fixed row-03 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 20, 8, 0, 0, 21, 4]; cell35_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell35_check : cell35.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell36 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 36 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 22, 8, 0, 0, 21, 4]; cell36_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell36_check : cell36.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell37 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 37 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 23, 8, 0, 0, 21, 4]; cell37_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell37_check : cell37.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell38 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 38 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 24, 8, 0, 0, 21, 4]; cell38_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell38_check : cell38.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell39 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 39 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 17, 6, 0, 0, 25, 4]; cell39_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell39_check : cell39.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell40 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 40 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 17, 8, 0, 0, 26, 4]; cell40_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell40_check : cell40.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell41 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 41 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 17, 8, 0, 0, 25, 4]; cell41_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell41_check : cell41.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell42 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 42 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 10, 6, 0, 0, 27, 4]; cell42_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell42_check : cell42.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell43 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 43 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 10, 8, 0, 0, 27, 4]; cell43_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell43_check : cell43.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell44 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 44 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 17, 6, 0, 0, 26, 4]; cell44_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell44_check : cell44.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell45 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 45 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 17, 6, 0, 0, 28, 4]; cell45_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell45_check : cell45.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell46 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 46 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 17, 8, 0, 0, 28, 4]; cell46_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell46_check : cell46.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell47 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 47 for the fixed row-03 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 20, 13, 0, 0, 21, 4]; cell47_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell47_check : cell47.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell48 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 48 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 22, 13, 0, 0, 21, 4]; cell48_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell48_check : cell48.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell49 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 49 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 23, 13, 0, 0, 21, 4]; cell49_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell49_check : cell49.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell50 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 50 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 24, 13, 0, 0, 21, 4]; cell50_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell50_check : cell50.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell51 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 51 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 17, 13, 0, 0, 26, 4]; cell51_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell51_check : cell51.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell52 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 52 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 17, 13, 0, 0, 25, 4]; cell52_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell52_check : cell52.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell53 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 53 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 10, 13, 0, 0, 27, 4]; cell53_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell53_check : cell53.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell54 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 54 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 17, 13, 0, 0, 28, 4]; cell54_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell54_check : cell54.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell55 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 55 for the fixed row-03 divisor, with 17 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 1, 6, 0, 0, 3, 4]; cell55_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell55_check : cell55.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell56 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 56 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 16, 6, 0, 0, 7, 4]; cell56_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell56_check : cell56.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell57 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 57 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 16, 6, 0, 0, 16, 4]; cell57_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell57_check : cell57.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell58 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 58 for the fixed row-03 divisor, with 17 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 1, 8, 0, 0, 3, 4]; cell58_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell58_check : cell58.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell59 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 59 for the fixed row-03 divisor, with 17 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 1, 13, 0, 0, 3, 4]; cell59_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell59_check : cell59.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell60 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 60 for the fixed row-03 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 22, 13, 0, 0, 11, 4]; cell60_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell60_check : cell60.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell61 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 61 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 5, 2, 0, 0, 3, 4]; cell61_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell61_check : cell61.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell62 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 62 for the fixed row-03 divisor, with 17 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 29, 2, 0, 0, 3, 4]; cell62_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell62_check : cell62.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell63 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 63 for the fixed row-03 divisor, with 17 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 30, 2, 0, 0, 3, 4]; cell63_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell63_check : cell63.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell64 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 64 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 9, 2, 0, 0, 3, 4]; cell64_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell64_check : cell64.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell65 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 65 for the fixed row-03 divisor, with 19 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 10, 2, 0, 0, 3, 4]; cell65_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell65_check : cell65.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell66 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 66 for the fixed row-03 divisor, with 17 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 31, 2, 0, 0, 3, 4]; cell66_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell66_check : cell66.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell67 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 67 for the fixed row-03 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 29, 32, 0, 0, 3, 33]; cell67_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell67_check : cell67.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell68 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 68 for the fixed row-03 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 31, 32, 0, 0, 3, 33]; cell68_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell68_check : cell68.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell69 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 69 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 29, 34, 0, 0, 3, 33]; cell69_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell69_check : cell69.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell70 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 70 for the fixed row-03 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 29, 35, 0, 0, 3, 36]; cell70_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell70_check : cell70.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell71 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 71 for the fixed row-03 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 29, 35, 0, 0, 3, 37]; cell71_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell71_check : cell71.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell72 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 72 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 31, 34, 0, 0, 3, 33]; cell72_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell72_check : cell72.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell73 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 73 for the fixed row-03 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 31, 35, 0, 0, 3, 36]; cell73_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell73_check : cell73.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell74 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 74 for the fixed row-03 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 31, 35, 0, 0, 3, 37]; cell74_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell74_check : cell74.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell75 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 75 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 29, 38, 0, 0, 3, 33]; cell75_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell75_check : cell75.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell76 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 76 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 31, 38, 0, 0, 3, 33]; cell76_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell76_check : cell76.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell77 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 77 for the fixed row-03 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 29, 39, 0, 0, 3, 40]; cell77_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell77_check : cell77.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell78 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 78 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 29, 35, 0, 0, 3, 41]; cell78_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell78_check : cell78.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell79 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 79 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 29, 35, 0, 0, 3, 42]; cell79_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell79_check : cell79.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell80 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 80 for the fixed row-03 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 29, 39, 0, 0, 3, 43]; cell80_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell80_check : cell80.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell81 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 81 for the fixed row-03 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 31, 39, 0, 0, 3, 40]; cell81_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell81_check : cell81.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell82 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 82 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 31, 35, 0, 0, 3, 42]; cell82_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell82_check : cell82.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell83 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 83 for the fixed row-03 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 31, 39, 0, 0, 3, 43]; cell83_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell83_check : cell83.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell84 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 84 for the fixed row-03 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 30, 32, 0, 0, 3, 33]; cell84_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell84_check : cell84.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell85 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 85 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 30, 34, 0, 0, 3, 33]; cell85_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell85_check : cell85.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell86 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 86 for the fixed row-03 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 30, 35, 0, 0, 3, 36]; cell86_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell86_check : cell86.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell87 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 87 for the fixed row-03 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 30, 35, 0, 0, 3, 37]; cell87_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell87_check : cell87.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell88 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 88 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 30, 38, 0, 0, 3, 33]; cell88_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell88_check : cell88.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell89 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 89 for the fixed row-03 divisor, with 22 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 30, 39, 0, 0, 3, 40]; cell89_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell89_check : cell89.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell90 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 90 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 30, 35, 0, 0, 3, 42]; cell90_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell90_check : cell90.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell91 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 91 for the fixed row-03 divisor, with 23 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 30, 39, 0, 0, 3, 43]; cell91_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell91_check : cell91.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell92 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 92 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 29, 44, 0, 0, 3, 45]; cell92_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell92_check : cell92.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell93 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 93 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 31, 44, 0, 0, 3, 45]; cell93_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell93_check : cell93.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell94 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 94 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 29, 46, 0, 0, 3, 45]; cell94_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell94_check : cell94.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell95 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 95 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 31, 46, 0, 0, 3, 45]; cell95_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell95_check : cell95.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell96 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 96 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 31, 35, 0, 0, 3, 41]; cell96_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell96_check : cell96.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell97 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 97 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 29, 47, 0, 0, 3, 45]; cell97_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell97_check : cell97.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell98 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 98 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 31, 47, 0, 0, 3, 45]; cell98_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell98_check : cell98.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell99 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 99 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 29, 39, 0, 0, 3, 48]; cell99_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell99_check : cell99.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell100 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 100 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 31, 39, 0, 0, 3, 48]; cell100_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell100_check : cell100.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell101 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 101 for the fixed row-03 divisor, with 21 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 30, 44, 0, 0, 3, 45]; cell101_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell101_check : cell101.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell102 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Closed-cover cell 102 for the fixed row-03 divisor, with 20 affine cone constraints. Anchors zero through seven use witness indices [0, 0, 30, 47, 0, 0, 3, 45]; cell102_check verifies its explicit-potential certificate.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell102_check : cell102.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell103 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Cone 103 of the fixed row-03 degree-four divisor cover, using anchor-witness indices 0, 0, 30, 39, 0, 0, 3, 48 and the listed affine inequalities.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell103_check : cell103.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell104 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Cone 104 of the fixed row-03 degree-four divisor cover, using anchor-witness indices 0, 0, 31, 39, 0, 0, 3, 49 and the listed affine inequalities.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell104_check : cell104.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell105 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Cone 105 of the fixed row-03 degree-four divisor cover, using anchor-witness indices 0, 0, 30, 35, 0, 0, 3, 41 and the listed affine inequalities.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell105_check : cell105.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell106 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Cone 106 of the fixed row-03 degree-four divisor cover, using anchor-witness indices 0, 0, 30, 46, 0, 0, 3, 45 and the listed affine inequalities.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell106_check : cell106.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cell107 : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core

Cone 107 of the fixed row-03 degree-four divisor cover, using anchor-witness indices 0, 0, 30, 39, 0, 0, 3, 49 and the listed affine inequalities.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cell107_check : cell107.certificate.checkClosed 4 = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.cells : List (GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core)

The 108 coordinate cells used by the independent row-03 cover replay; each carries the fixed degree-four divisor and its anchor witnesses.

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def AtanasovRanganathan.GenusFiveRow03FixedCover.base : List (Utilities.Certificate.ExplicitPotential.AffineForm 12)

The twelve coordinate nonnegativity inequalities defining the ambient cone of allowed row-03 edge lengths.

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def AtanasovRanganathan.GenusFiveRow03FixedCover.splitForms : List (Utilities.Certificate.ExplicitPotential.AffineForm 12)

The shared affine forms whose signs split the row-03 length cone in the compact cover tree.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm0 : splitForms.getD 0 0 = aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm1 : splitForms.getD 1 0 = aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm2 : splitForms.getD 2 0 = aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm3 : splitForms.getD 3 0 = aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm4 : splitForms.getD 4 0 = aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm5 : splitForms.getD 5 0 = aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm6 : splitForms.getD 6 0 = aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm7 : splitForms.getD 7 0 = aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm8 : splitForms.getD 8 0 = aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm9 : splitForms.getD 9 0 = aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm10 : splitForms.getD 10 0 = aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm11 : splitForms.getD 11 0 = aff [0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm12 : splitForms.getD 12 0 = aff [0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm13 : splitForms.getD 13 0 = aff [0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm14 : splitForms.getD 14 0 = aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm15 : splitForms.getD 15 0 = aff [0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm16 : splitForms.getD 16 0 = aff [0, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm17 : splitForms.getD 17 0 = aff [0, 1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm18 : splitForms.getD 18 0 = aff [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm19 : splitForms.getD 19 0 = aff [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm20 : splitForms.getD 20 0 = aff [0, 1, 0, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm21 : splitForms.getD 21 0 = aff [0, 1, 0, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm22 : splitForms.getD 22 0 = aff [0, 0, -1, 0, 0, 0, -1, 1, 0, -1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm23 : splitForms.getD 23 0 = aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm24 : splitForms.getD 24 0 = aff [0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm25 : splitForms.getD 25 0 = aff [0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm26 : splitForms.getD 26 0 = aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm27 : splitForms.getD 27 0 = aff [0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm28 : splitForms.getD 28 0 = aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm29 : splitForms.getD 29 0 = aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm30 : splitForms.getD 30 0 = aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, -1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm31 : splitForms.getD 31 0 = aff [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm32 : splitForms.getD 32 0 = aff [0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm33 : splitForms.getD 33 0 = aff [0, 0, 0, 1, 0, 0, 0, 1, -1, -1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm34 : splitForms.getD 34 0 = aff [0, 0, 0, 0, 1, 0, 0, 1, -1, -1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm35 : splitForms.getD 35 0 = aff [0, 0, 0, 0, 1, 0, 0, 1, 0, -1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm36 : splitForms.getD 36 0 = aff [0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm37 : splitForms.getD 37 0 = aff [0, 0, 0, 1, 0, 0, 0, 1, 1, -1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm38 : splitForms.getD 38 0 = aff [0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm39 : splitForms.getD 39 0 = aff [0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm40 : splitForms.getD 40 0 = aff [0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm41 : splitForms.getD 41 0 = aff [0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm42 : splitForms.getD 42 0 = aff [0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm43 : splitForms.getD 43 0 = aff [0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm44 : splitForms.getD 44 0 = aff [0, -1, 0, 0, 0, 0, -1, 1, 0, -1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm45 : splitForms.getD 45 0 = aff [0, 0, 0, 0, 0, 0, 1, 1, -1, -1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm46 : splitForms.getD 46 0 = aff [0, 0, 0, 0, 0, 0, -1, -1, 1, 1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm47 : splitForms.getD 47 0 = aff [0, 0, -1, 0, 0, 0, 1, 1, 0, -1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm48 : splitForms.getD 48 0 = aff [0, -1, 0, 0, 0, 0, 1, 1, 0, -1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm49 : splitForms.getD 49 0 = aff [0, 0, 1, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm50 : splitForms.getD 50 0 = aff [0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm51 : splitForms.getD 51 0 = aff [0, 0, 1, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm52 : splitForms.getD 52 0 = aff [0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm53 : splitForms.getD 53 0 = aff [0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm54 : splitForms.getD 54 0 = aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm55 : splitForms.getD 55 0 = aff [0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm56 : splitForms.getD 56 0 = aff [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm57 : splitForms.getD 57 0 = aff [0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm58 : splitForms.getD 58 0 = aff [0, 0, 0, 0, -1, 0, 0, -1, 0, 1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm59 : splitForms.getD 59 0 = aff [0, 0, 0, 0, -1, 0, 0, -1, -1, 1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm60 : splitForms.getD 60 0 = aff [0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm61 : splitForms.getD 61 0 = aff [0, 0, 0, -1, 0, 0, 0, -1, 0, 1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm62 : splitForms.getD 62 0 = aff [0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm63 : splitForms.getD 63 0 = aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm64 : splitForms.getD 64 0 = aff [0, 0, 0, -1, 0, 0, 0, -1, -1, 1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm65 : splitForms.getD 65 0 = aff [0, 0, 0, 0, 1, 0, 0, 1, 1, -1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm66 : splitForms.getD 66 0 = aff [0, 0, 0, 0, -1, 0, 0, -1, 1, 1, 0, 0, 0]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm67 : splitForms.getD 67 0 = aff [0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.splitForm68 : splitForms.getD 68 0 = aff [0, 0, 0, -1, 0, 0, 0, -1, 1, 1, 0, 0, 0]

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart0 : GenusFiveClosedCover.CompactCellTree

The leaf selecting cell zero with Farkas receipts 0 through 15 for its cone inequalities.

Equations

• AtanasovRanganathan.GenusFiveRow03FixedCover.treePart0 = AtanasovRanganathan.GenusFiveClosedCover.CompactCellTree.cell 0 [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart0_check : treePart0.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart1 : GenusFiveClosedCover.CompactCellTree

The row-03 subtree selecting cells one or two according to split forms 14 and 15; receipt 60 excludes the remaining branch.

Equations

• One or more equations did not get rendered due to their size.

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart1_check : treePart1.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart2 : GenusFiveClosedCover.CompactCellTree

The row-03 subtree selecting cells three through eight, with Farkas receipts excluding sign branches outside those cell cones.

Equations

• One or more equations did not get rendered due to their size.

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart2_check : treePart2.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart3 : GenusFiveClosedCover.CompactCellTree

The row-03 subtree selecting cells nine through thirteen; repeated leaves for cell nine certify its inclusion from different active inequalities.

Equations

• One or more equations did not get rendered due to their size.

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart3_check : treePart3.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart4 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] - length[11] in the row-03 length cone, with leaves selecting cells 2, 4, 6, 8 and Farkas receipts excluding inconsistent sign branches.

Equations

• One or more equations did not get rendered due to their size.

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart4_check : treePart4.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart5 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] - length[11] in the row-03 length cone, with leaves selecting cells 14, 15 and Farkas receipts excluding inconsistent sign branches.

Equations

• One or more equations did not get rendered due to their size.

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart5_check : treePart5.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1]] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart6 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[1] + length[11] in the row-03 length cone, with leaves selecting cells 3, 4, 5, 6, 7, 8, 16, 17 and Farkas receipts excluding inconsistent sign branches.

Equations

• One or more equations did not get rendered due to their size.

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart6_check : treePart6.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1]] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [aff [0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart7 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[1] + length[11] in the row-03 length cone, with leaves selecting cells 3, 4 and Farkas receipts excluding inconsistent sign branches.

Equations

• One or more equations did not get rendered due to their size.

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart7_check : treePart7.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1]] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart8 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] - length[11] in the row-03 length cone, with leaves selecting cells 15, 18 and Farkas receipts excluding inconsistent sign branches.

Equations

• One or more equations did not get rendered due to their size.

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart8_check : treePart8.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart9 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[2] + length[3] in the row-03 length cone, with leaves selecting cells 6, 8, 11, 12, 13, 17, 19 and Farkas receipts excluding inconsistent sign branches.

Equations

• One or more equations did not get rendered due to their size.

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart9_check : treePart9.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [aff [0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart10 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[2] + length[3] in the row-03 length cone, with leaves selecting cells 4, 10 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart10_check : treePart10.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [aff [0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart11 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] - length[11] in the row-03 length cone, with leaves selecting cells 4, 10, 20 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart11_check : treePart11.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart12 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[6] - length[8] in the row-03 length cone, with leaves selecting cells 21, 22 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart12_check : treePart12.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1]] ++ [aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart13 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[1] + length[6] - length[8] in the row-03 length cone, with leaves selecting cells 5, 7, 12, 13, 23, 24 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart13_check : treePart13.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1]] ++ [aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart14 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 6, 8, 25, 26, 27 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart14_check : treePart14.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart15 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 12, 13, 22 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart15_check : treePart15.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart16 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[6] - length[8] in the row-03 length cone, with leaves selecting cells 28, 29, 30 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart16_check : treePart16.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1])] ++ [aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart17 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] - length[11] in the row-03 length cone, with leaves selecting cells 5, 6, 7, 8, 12, 13 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart17_check : treePart17.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [aff [0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart18 : GenusFiveClosedCover.CompactCellTree

Contradiction leaf using Farkas receipt 333 to exclude the accumulated affine constraints in this row-03 branch.

Equations

• AtanasovRanganathan.GenusFiveRow03FixedCover.treePart18 = AtanasovRanganathan.GenusFiveClosedCover.CompactCellTree.absurd 333

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart18_check : treePart18.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [aff [0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart19 : GenusFiveClosedCover.CompactCellTree

Contradiction leaf using Farkas receipt 334 to exclude the accumulated affine constraints in this row-03 branch.

Equations

• AtanasovRanganathan.GenusFiveRow03FixedCover.treePart19 = AtanasovRanganathan.GenusFiveClosedCover.CompactCellTree.absurd 334

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart19_check : treePart19.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart20 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[5] + length[6] - length[7] - length[8] in the row-03 length cone, with leaves selecting cells 31, 32, 33, 34 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart20_check : treePart20.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [aff [0, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]] ++ [aff [0, 1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart21 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[2] - length[3] in the row-03 length cone, with leaves selecting cells 35, 36, 37, 38 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart21_check : treePart21.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [aff [0, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]] ++ [aff [0, 1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart22 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[3] - length[7] in the row-03 length cone, with leaves selecting cells 28, 29, 39, 40, 41 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart22_check : treePart22.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [aff [0, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart23 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] + length[5] - length[6] + length[8] in the row-03 length cone, with leaves selecting cells 7, 8, 42, 43 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart23_check : treePart23.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart24 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[6] - length[8] in the row-03 length cone, with leaves selecting cells 28, 29, 39, 41, 44, 45, 46 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart24_check : treePart24.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart25 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[0] - length[6] + length[8] in the row-03 length cone, with leaves selecting cells 30, 47, 48, 49, 50, 51, 52 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart25_check : treePart25.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [aff [0, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart26 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[0] - length[1] in the row-03 length cone, with leaves selecting cells 13, 30, 51, 52, 53, 54 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart26_check : treePart26.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart27 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] - length[6] + length[8] in the row-03 length cone, with leaves selecting cells 8, 35, 36, 37, 38, 43 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart27_check : treePart27.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [aff [0, 1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart28 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 8, 29, 40, 41, 43 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart28_check : treePart28.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart29 : GenusFiveClosedCover.CompactCellTree

Leaf selecting row-03 cell 55, with 17 Farkas receipts deriving its cone inequalities from the active branch constraints.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart29_check : treePart29.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart30 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] - length[5] - length[11] in the row-03 length cone, with leaves selecting cells 1, 3, 5, 7 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart30_check : treePart30.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart31 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[0] - length[11] in the row-03 length cone, with leaves selecting cells 3, 14, 21, 28, 56, 57 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart31_check : treePart31.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart32 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] + length[5] - length[11] in the row-03 length cone, with leaves selecting cells 5, 7, 21, 28 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart32_check : treePart32.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart33 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] - length[5] - length[6] + length[8] in the row-03 length cone, with leaves selecting cells 7, 32, 33, 42 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart33_check : treePart33.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart34 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 7, 24, 32, 34, 42 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart34_check : treePart34.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart35 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 7, 24, 28, 39, 42, 44 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart35_check : treePart35.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart36 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[2] - length[3] in the row-03 length cone, with leaves selecting cells 58 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart36_check : treePart36.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart37 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[0] - length[5] - length[11] in the row-03 length cone, with leaves selecting cells 2, 15, 25, 29 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart37_check : treePart37.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart38 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] - length[11] in the row-03 length cone, with leaves selecting cells 4, 6, 8, 15 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart38_check : treePart38.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart39 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 6, 8, 25, 29 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart39_check : treePart39.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart40 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] - length[6] + length[8] in the row-03 length cone, with leaves selecting cells 8, 36, 37, 43 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart40_check : treePart40.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart41 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 8, 27, 36, 38, 43 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart41_check : treePart41.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart42 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 8, 41, 43 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart42_check : treePart42.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 1, 0, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart43 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 8, 29, 43 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart43_check : treePart43.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart44 : GenusFiveClosedCover.CompactCellTree

Leaf selecting row-03 cell 59, with 17 Farkas receipts deriving its cone inequalities from the active branch constraints.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart44_check : treePart44.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart45 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[0] - length[5] - length[11] in the row-03 length cone, with leaves selecting cells 9, 18, 22, 30 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart45_check : treePart45.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1]] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart46 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[0] - length[1] in the row-03 length cone, with leaves selecting cells 10, 18, 22, 30 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart46_check : treePart46.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1]] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart47 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] - length[5] - length[6] + length[8] in the row-03 length cone, with leaves selecting cells 48, 49 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart47_check : treePart47.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart48 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[0] - length[6] + length[8] in the row-03 length cone, with leaves selecting cells 11, 30, 48, 50, 51, 52 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart48_check : treePart48.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart49 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[0] - length[1] in the row-03 length cone, with leaves selecting cells 11, 30, 51, 52, 54 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart49_check : treePart49.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart50 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[0] - length[1] in the row-03 length cone, with leaves selecting cells 12, 13, 22, 30, 51, 54 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart50_check : treePart50.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, -1, 0, 0, 0, -1, 1, 0, -1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart51 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[0] - length[1] in the row-03 length cone, with leaves selecting cells 12, 22, 30, 51, 52, 53, 54 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart51_check : treePart51.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, -1, 0, 0, 0, -1, 1, 0, -1, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart52 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] - length[5] - length[11] in the row-03 length cone, with leaves selecting cells 48, 49 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart52_check : treePart52.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart53 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[6] - length[8] in the row-03 length cone, with leaves selecting cells 30, 49, 50, 51, 52, 54 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart53_check : treePart53.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart54 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[1] - length[5] + length[11] in the row-03 length cone, with leaves selecting cells 13, 48, 49, 60 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart54_check : treePart54.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart55 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[3] + length[7] in the row-03 length cone, with leaves selecting cells 58 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart55_check : treePart55.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart56 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] - length[5] - length[11] in the row-03 length cone, with leaves selecting cells 2, 4, 6, 8 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart56_check : treePart56.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1]] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart57 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 4, 6, 8, 15, 17, 27 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart57_check : treePart57.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart58 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 6, 8, 25, 26, 27 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart58_check : treePart58.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart59 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 6, 8, 26, 27, 29 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart59_check : treePart59.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart60 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] - length[5] - length[6] + length[8] in the row-03 length cone, with leaves selecting cells 8, 36, 37, 43 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart60_check : treePart60.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart61 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 8, 27, 36, 38, 43 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart61_check : treePart61.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart62 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 8, 27, 41, 43 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart62_check : treePart62.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 1, 0, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart63 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 8, 29, 43 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart63_check : treePart63.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart64 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[6] + length[8] in the row-03 length cone, with leaves selecting cells 1, 2, 9, 61 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart64_check : treePart64.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart65 : GenusFiveClosedCover.CompactCellTree

Leaf selecting row-03 cell 62, with 17 Farkas receipts deriving its cone inequalities from the active branch constraints.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart65_check : treePart65.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart66 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 14, 15, 18 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart66_check : treePart66.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart67 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[0] + length[5] - length[11] in the row-03 length cone, with leaves selecting cells 21, 22, 25, 28, 29, 30 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart67_check : treePart67.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [aff [0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart68 : GenusFiveClosedCover.CompactCellTree

Contradiction leaf using Farkas receipt 579 to exclude the accumulated affine constraints in this row-03 branch.

Equations

• AtanasovRanganathan.GenusFiveRow03FixedCover.treePart68 = AtanasovRanganathan.GenusFiveClosedCover.CompactCellTree.absurd 579

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart68_check : treePart68.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart69 : GenusFiveClosedCover.CompactCellTree

Contradiction leaf using Farkas receipt 580 to exclude the accumulated affine constraints in this row-03 branch.

Equations

• AtanasovRanganathan.GenusFiveRow03FixedCover.treePart69 = AtanasovRanganathan.GenusFiveClosedCover.CompactCellTree.absurd 580

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart69_check : treePart69.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart70 : GenusFiveClosedCover.CompactCellTree

Leaf selecting row-03 cell 63, with 17 Farkas receipts deriving its cone inequalities from the active branch constraints.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart70_check : treePart70.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0])] ++ [aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart71 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[2] - length[7] in the row-03 length cone, with leaves selecting cells 14, 15, 18 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart71_check : treePart71.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0])] ++ [aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart72 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[6] - length[8] in the row-03 length cone, with leaves selecting cells 21, 22, 25 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart72_check : treePart72.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0])] ++ [aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart73 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[6] - length[8] in the row-03 length cone, with leaves selecting cells 28, 29, 30 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart73_check : treePart73.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0])] ++ [aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart74 : GenusFiveClosedCover.CompactCellTree

Contradiction leaf using Farkas receipt 447 to exclude the accumulated affine constraints in this row-03 branch.

Equations

• AtanasovRanganathan.GenusFiveRow03FixedCover.treePart74 = AtanasovRanganathan.GenusFiveClosedCover.CompactCellTree.absurd 447

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart74_check : treePart74.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart75 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[6] + length[8] in the row-03 length cone, with leaves selecting cells 3, 4, 10, 64 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart75_check : treePart75.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [aff [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart76 : GenusFiveClosedCover.CompactCellTree

Leaf selecting row-03 cell 65, with 19 Farkas receipts deriving its cone inequalities from the active branch constraints.

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• One or more equations did not get rendered due to their size.

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart76_check : treePart76.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart77 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[2] - length[7] in the row-03 length cone, with leaves selecting cells 5, 7, 11, 12, 13, 24 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart77_check : treePart77.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart78 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[2] - length[3] in the row-03 length cone, with leaves selecting cells 6, 8, 11, 12, 13, 27 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart78_check : treePart78.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart79 : GenusFiveClosedCover.CompactCellTree

Contradiction leaf using Farkas receipt 599 to exclude the accumulated affine constraints in this row-03 branch.

Equations

• AtanasovRanganathan.GenusFiveRow03FixedCover.treePart79 = AtanasovRanganathan.GenusFiveClosedCover.CompactCellTree.absurd 599

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart79_check : treePart79.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart80 : GenusFiveClosedCover.CompactCellTree

Leaf selecting row-03 cell 63, with 17 Farkas receipts deriving its cone inequalities from the active branch constraints.

Equations

• One or more equations did not get rendered due to their size.

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart80_check : treePart80.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [aff [0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart81 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[2] - length[7] in the row-03 length cone, with leaves selecting cells 14, 15, 18 and Farkas receipts excluding inconsistent sign branches.

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• One or more equations did not get rendered due to their size.

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart81_check : treePart81.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [aff [0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart82 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[2] - length[7] in the row-03 length cone, with leaves selecting cells 21, 22, 25 and Farkas receipts excluding inconsistent sign branches.

Equations

• One or more equations did not get rendered due to their size.

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart82_check : treePart82.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [aff [0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart83 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[6] - length[8] in the row-03 length cone, with leaves selecting cells 28, 29, 30 and Farkas receipts excluding inconsistent sign branches.

Equations

• One or more equations did not get rendered due to their size.

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart83_check : treePart83.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [aff [0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart84 : GenusFiveClosedCover.CompactCellTree

Leaf selecting row-03 cell 62, with 17 Farkas receipts deriving its cone inequalities from the active branch constraints.

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• One or more equations did not get rendered due to their size.

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart84_check : treePart84.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0])] ++ [aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart85 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[3] - length[7] in the row-03 length cone, with leaves selecting cells 21, 25, 28, 29, 40, 44 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart85_check : treePart85.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0])] ++ [aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart86 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[0] - length[11] in the row-03 length cone, with leaves selecting cells 22, 25, 29, 30, 40, 51 and Farkas receipts excluding inconsistent sign branches.

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• One or more equations did not get rendered due to their size.

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart86_check : treePart86.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0])] ++ [aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart87 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] - length[11] in the row-03 length cone, with leaves selecting cells 14, 15, 18 and Farkas receipts excluding inconsistent sign branches.

Equations

• One or more equations did not get rendered due to their size.

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart87_check : treePart87.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0])] ++ [aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart88 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] - length[11] in the row-03 length cone, with leaves selecting cells 14, 15, 18 and Farkas receipts excluding inconsistent sign branches.

Equations

• One or more equations did not get rendered due to their size.

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart88_check : treePart88.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0])] ++ [aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart89 : GenusFiveClosedCover.CompactCellTree

Contradiction leaf using Farkas receipt 617 to exclude the accumulated affine constraints in this row-03 branch.

Equations

• AtanasovRanganathan.GenusFiveRow03FixedCover.treePart89 = AtanasovRanganathan.GenusFiveClosedCover.CompactCellTree.absurd 617

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart89_check : treePart89.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart90 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[0] - length[5] in the row-03 length cone, with leaves selecting cells 62, 63, 66 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart90_check : treePart90.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart91 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[3] - length[7] in the row-03 length cone, with leaves selecting cells 33, 34, 37, 38 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart91_check : treePart91.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [aff [0, 1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]] ++ [aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart92 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] - length[6] + length[8] in the row-03 length cone, with leaves selecting cells 7, 8, 32, 36, 42, 43 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart92_check : treePart92.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [aff [0, 1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [aff [0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart93 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[3] - length[7] in the row-03 length cone, with leaves selecting cells 32, 33, 36, 37 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart93_check : treePart93.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [aff [0, 1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, -1, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart94 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 7, 24, 39, 42 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart94_check : treePart94.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 1, 0, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart95 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 8, 41, 43 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart95_check : treePart95.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 1, 0, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart96 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 7, 8, 28, 29, 42, 43 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart96_check : treePart96.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, 1, -1, 0, 1, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart97 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[2] + length[3] in the row-03 length cone, with leaves selecting cells 36, 37, 48, 49 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart97_check : treePart97.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]] ++ [aff [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart98 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[0] - length[6] + length[8] in the row-03 length cone, with leaves selecting cells 29, 30, 38, 40, 41, 50, 51, 52 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart98_check : treePart98.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [aff [0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart99 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[2] + length[3] in the row-03 length cone, with leaves selecting cells 37, 38, 49, 50 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart99_check : treePart99.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [aff [0, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart100 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[2] + length[3] in the row-03 length cone, with leaves selecting cells 8, 13, 43, 53 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart100_check : treePart100.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [aff [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart101 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[6] - length[8] in the row-03 length cone, with leaves selecting cells 29, 30, 41, 51, 52, 54 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart101_check : treePart101.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart102 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] - length[5] in the row-03 length cone, with leaves selecting cells 67, 68 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart102_check : treePart102.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1]] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1]] ++ [aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, -1]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart103 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[3] - length[11] in the row-03 length cone, with leaves selecting cells 69, 70, 71 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart103_check : treePart103.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1]] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, -1])] ++ [aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart104 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[3] - length[11] in the row-03 length cone, with leaves selecting cells 72, 73, 74 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart104_check : treePart104.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1]] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart105 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] - length[5] in the row-03 length cone, with leaves selecting cells 75, 76 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart105_check : treePart105.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1]] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1]] ++ [aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart106 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[3] - length[11] in the row-03 length cone, with leaves selecting cells 69, 70, 71, 72, 73, 74 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart106_check : treePart106.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1]] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart107 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[2] + length[3] in the row-03 length cone, with leaves selecting cells 70, 71, 77, 78, 79 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart107_check : treePart107.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1]] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart108 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[2] + length[3] in the row-03 length cone, with leaves selecting cells 70, 71, 79, 80 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart108_check : treePart108.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1]] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart109 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[2] + length[3] in the row-03 length cone, with leaves selecting cells 73, 74, 81, 82 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart109_check : treePart109.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1]] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart110 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[0] - length[1] in the row-03 length cone, with leaves selecting cells 73, 74, 82, 83 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart110_check : treePart110.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1]] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart111 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 68, 84 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart111_check : treePart111.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1]] ++ [aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, -1]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart112 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 72, 73, 74, 85, 86, 87 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart112_check : treePart112.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, -1])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart113 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 76, 88 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart113_check : treePart113.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1]] ++ [aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart114 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[3] - length[11] in the row-03 length cone, with leaves selecting cells 72, 73, 74, 85, 86, 87 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart114_check : treePart114.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart115 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[2] + length[3] in the row-03 length cone, with leaves selecting cells 86, 87, 89, 90 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart115_check : treePart115.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart116 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[2] + length[3] in the row-03 length cone, with leaves selecting cells 86, 87, 90, 91 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart116_check : treePart116.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, -1])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart117 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[2] + length[3] in the row-03 length cone, with leaves selecting cells 73, 74, 81, 82, 83 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart117_check : treePart117.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart118 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] - length[5] in the row-03 length cone, with leaves selecting cells 92, 93 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart118_check : treePart118.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 1, 0, 0, 0, 1, -1, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 1, 0, 0, 1, -1, -1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart119 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] - length[5] in the row-03 length cone, with leaves selecting cells 94, 95 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart119_check : treePart119.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 1, 0, 0, 0, 1, -1, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 1, 0, 0, 1, -1, -1, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 1, 0, 0, 1, 0, -1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart120 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[3] + length[6] + length[7] - length[8] in the row-03 length cone, with leaves selecting cells 71, 74, 78, 96 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart120_check : treePart120.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 1, 0, 0, 0, 1, -1, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 1, 0, 0, 1, -1, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 1, 0, 0, 1, 0, -1, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart121 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] - length[5] in the row-03 length cone, with leaves selecting cells 97, 98 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart121_check : treePart121.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 1, -1, -1, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart122 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[3] + length[6] - length[8] in the row-03 length cone, with leaves selecting cells 71, 74, 78, 82, 94, 95, 96 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart122_check : treePart122.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 1, -1, -1, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart123 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[2] + length[3] in the row-03 length cone, with leaves selecting cells 71, 78, 79, 99 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart123_check : treePart123.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 1, -1, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 1, 1, -1, 0, 0, 0]] ++ [aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart124 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[2] + length[3] in the row-03 length cone, with leaves selecting cells 74, 82, 96, 100 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart124_check : treePart124.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 1, -1, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 1, 1, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart125 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] - length[5] in the row-03 length cone, with leaves selecting cells 80, 83 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart125_check : treePart125.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 1, -1, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 1, 1, -1, 0, 0, 0])] ++ [aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart126 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[1] - length[5] in the row-03 length cone, with leaves selecting cells 71, 74, 78, 79, 82, 96 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart126_check : treePart126.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1])] ++ [aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 1, -1, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 1, 1, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart127 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 93, 101 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart127_check : treePart127.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 1, 0, 0, 1, -1, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 1, 0, 0, 0, 1, -1, -1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart128 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 98, 102 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart128_check : treePart128.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 1, 0, 0, 1, -1, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 1, -1, -1, 0, 0, 0])] ++ [aff [0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart129 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 83, 91, 100, 103, 104 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart129_check : treePart129.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0])] ++ [aff [0, 0, 0, 0, 1, 0, 0, 1, -1, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 1, -1, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, 0, 0, 0, 1, 0, -1, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart130 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[3] - length[6] - length[7] + length[8] in the row-03 length cone, with leaves selecting cells 74, 87, 95, 96, 105, 106 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart130_check : treePart130.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 1, 0, 0, 1, -1, -1, 0, 0, 0])] ++ [aff [0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [aff [0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart131 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 82, 90, 95, 96, 105, 106 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart131_check : treePart131.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 1, 0, 0, 1, -1, -1, 0, 0, 0])] ++ [aff [0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart132 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on - length[0] + length[1] in the row-03 length cone, with leaves selecting cells 83, 91, 98, 100, 102, 103 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart132_check : treePart132.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 1, 0, 0, 1, -1, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [aff [0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 1]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treePart133 : GenusFiveClosedCover.CompactCellTree

Subtree splitting on length[2] + length[6] - length[8] in the row-03 length cone, with leaves selecting cells 98, 100, 102, 103, 104, 107 and Farkas receipts excluding inconsistent sign branches.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treePart133_check : treePart133.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, -1])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 1, 0, 0, 1, -1, -1, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0])] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 1])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treeAssemblyBranch0 : GenusFiveClosedCover.CompactCellTree

A branch of the final row-03 cover assembly, starting at split form 2 and combining the previously verified decision subtrees.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treeAssemblyBranch0_check : treeAssemblyBranch0.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treeAssemblyBranch1 : GenusFiveClosedCover.CompactCellTree

A branch of the final row-03 cover assembly, starting at split form 4 and combining the previously verified decision subtrees.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treeAssemblyBranch1_check : treeAssemblyBranch1.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]] ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treeAssemblyBranch2 : GenusFiveClosedCover.CompactCellTree

A branch of the final row-03 cover assembly, starting at split form 1 and combining the previously verified decision subtrees.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treeAssemblyBranch2_check : treeAssemblyBranch2.check splitForms farkasReceipts cells (base ++ [aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0]]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.treeAssemblyBranch3 : GenusFiveClosedCover.CompactCellTree

A branch of the final row-03 cover assembly, starting at split form 28 and combining the previously verified decision subtrees.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.treeAssemblyBranch3_check : treeAssemblyBranch3.check splitForms farkasReceipts cells (base ++ [Utilities.Certificate.AffineCover.AffineForm.violation (aff [0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0])]) = true

def AtanasovRanganathan.GenusFiveRow03FixedCover.tree : GenusFiveClosedCover.CompactCellTree

The complete row-03 closed-cover decision tree, assembling the 134 checked subtrees in order and starting with split form zero. Its leaves refer to the shared cell and Farkas-receipt tables.

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theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cells_check : (cells.all fun (cell : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core) => cell.certificate.checkClosed 4) = true

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.cells_valid (cell : GenusFiveClosedCover.CoordinateCell GenusFiveCoreAtlas.row03Core) : cell ∈ cells → cell.certificate.ValidClosed 4

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.tree_check : tree.check splitForms farkasReceipts cells base = true

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.base_holds (length : Fin 12 → ℕ) : Utilities.Certificate.ExplicitPotential.FormsHold base (GenusFiveClosedCover.lengthPoint length)

theorem AtanasovRanganathan.GenusFiveRow03FixedCover.closedConstruction : Configurations.ClosedSubdivisionDharConstruction GenusFiveCoreAtlas.row03Core closedConstruction._proof_1