Proof — Verse 1.101

तस्मादभिन्नकालेषु वर्णवाक्यपदादिषु ।
वृत्तिकालः स्वकालश्च नादभेदाद्विभज्यते ॥ १०१ ॥

Therefore, for phonemes, sentences, words and the rest, whose time is undivided, the time of functioning and their own time are distinguished according to the difference of the sound.

Endorsed axioms (each cite is verbatim commentary)

• {"kind": "predication", "name": "abhinna_kala", "of": "varna"}“All linguistic units, at every grain, are abhinna-kala, temporally undivided in themselves”
• {"kind": "predication", "name": "abhinna_kala", "of": "vakya"}“All linguistic units, at every grain, are abhinna-kala, temporally undivided in themselves”
• {"kind": "predication", "name": "abhinna_kala", "of": "pada"}“All linguistic units, at every grain, are abhinna-kala, temporally undivided in themselves”
• {"kind": "predication", "name": "asraya", "of": "nada"}“the felt durations belong to nada”
• {"kind": "relation", "name": "vibhajyate", "from": "vrtti_kala", "to": "sva_kala"}“vrtti-kala, the time of functioning — how long the manifesting takes, a real property of the sound-process — versus sva-kala”

Denials

• {"kind": "predication", "name": "actual_duration", "of": "varna"}“no sphota differs from any other in sva-kala, since none has any”
• {"kind": "predication", "name": "actual_duration", "of": "pada"}“no sphota differs from any other in sva-kala, since none has any”

Rejected readings (refuted by compiled theorems)

• “Linguistic units (phonemes and words) themselves possess distinct time-properties that differ according to length and speed of utterance.” — Assigns actual duration to linguistic units, but the commentary insists linguistic units have only figurative time (sva-kala) — the real duration is a property of nada. This reverses the ontological priority: units are temporally undivided in themselves.
• “Each linguistic unit has its own intrinsic time-measure, distinct from the time of utterance.” — Treats sva-kala as a real property of linguistic units themselves, but the commentary explicitly states it 'exists only as the figurative shadow the vrtti casts' — it is upacara (metaphorical), not a real property. The sort error (property vs manifestation of units themselves) makes this contradicted by the denial.
• “There is no meaningful distinction between the time-measurements of sound and the time-measurements of linguistic units — they are the same property.” — Collapses the central distinction the verse establishes: vrtti-kala (real, of sound) vs sva-kala (figurative, of units). The commentary insists on the separation: 'vrtti-kala, the time of functioning — a real property of the sound-process — versus sva-kala... which exists only as figurative'.

Lean module

/- Verse 1.101 — generated from data/contracts/1.101.json. DO NOT EDIT.
   Axiom cites are verbatim commentary quotations, validated by
   tests/test_contracts.py. -/
import VakyaVallari.Adequacy

namespace VakyaVallari.Verses.V1_101

open VakyaVallari

def varna : Entity := ⟨"varṇa", Sorta.linguisticItem⟩
def vakya : Entity := ⟨"vākya", Sorta.linguisticItem⟩
def pada : Entity := ⟨"pada", Sorta.linguisticItem⟩
def nada : Entity := ⟨"nāda", Sorta.manifestation⟩
def abhinna_kala : Entity := ⟨"abhinna-kāla", Sorta.property⟩
def vrtti_kala : Entity := ⟨"vṛtti-kāla", Sorta.power⟩
def sva_kala : Entity := ⟨"sva-kāla", Sorta.property⟩

def contract : Contract :=
  { axioms := [ Claim.predication "abhinna_kala" varna
    , Claim.predication "abhinna_kala" vakya
    , Claim.predication "abhinna_kala" pada
    , Claim.predication "asraya" nada
    , Claim.relation "vibhajyate" (Node.ent vrtti_kala) (Node.ent sva_kala) ]
  , denials := [ Claim.predication "actual_duration" varna
    , Claim.predication "actual_duration" pada ]
  , reported := [] }

def accepted : Reading :=
  { claims := [ Claim.predication "abhinna_kala" varna
    , Claim.predication "abhinna_kala" pada
    , Claim.predication "asraya" nada
    , Claim.relation "vibhajyate" (Node.ent vrtti_kala) (Node.ent sva_kala) ] }

theorem accepted_adequate : contract.Adequate accepted := by decide

namespace Counterexamples

/- 'Linguistic units (phonemes and words) themselves possess distinct time-properties that differ according to length and speed of utterance.'
   Why rejected: Assigns actual duration to linguistic units, but the commentary insists linguistic units have only figurative time (sva-kala) — the real duration is a property of nada. This reverses the ontological priority: units are temporally undivided in themselves. -/
def varna_dur : Entity := ⟨"varṇa", Sorta.property⟩
def linguistic_units_temporal : Reading :=
  { claims := [ Claim.predication "actual_duration" varna_dur ] }
theorem linguistic_units_temporal_inadequate : ¬ contract.Adequate linguistic_units_temporal := by decide
#guard contract.licenses linguistic_units_temporal = false
theorem linguistic_units_temporal_sort_error : varna_dur ≠ varna := by decide

/- 'Each linguistic unit has its own intrinsic time-measure, distinct from the time of utterance.'
   Why rejected: Treats sva-kala as a real property of linguistic units themselves, but the commentary explicitly states it 'exists only as the figurative shadow the vrtti casts' — it is upacara (metaphorical), not a real property. The sort error (property vs manifestation of units themselves) makes this contradicted by the denial. -/
def sva_kala_real : Reading :=
  { claims := [ Claim.predication "actual_duration" pada ] }
theorem sva_kala_real_inadequate : ¬ contract.Adequate sva_kala_real := by decide
#guard contract.contradicts sva_kala_real = true

/- 'There is no meaningful distinction between the time-measurements of sound and the time-measurements of linguistic units — they are the same property.'
   Why rejected: Collapses the central distinction the verse establishes: vrtti-kala (real, of sound) vs sva-kala (figurative, of units). The commentary insists on the separation: 'vrtti-kala, the time of functioning — a real property of the sound-process — versus sva-kala... which exists only as figurative'. -/
def no_distinction_time : Reading :=
  { claims := [ Claim.identity vrtti_kala sva_kala ] }
theorem no_distinction_time_inadequate : ¬ contract.Adequate no_distinction_time := by decide
#guard contract.licenses no_distinction_time = false

end Counterexamples

end VakyaVallari.Verses.V1_101