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    "result": "This postcondition examines only the subject's output program \u2014 the `input` root is never mentioned \u2014 and it scans `output.operations`, which enumerates every operation at every nesting depth, including the root `builtin.module`. It builds three name-selected sequences: `unresolved` (operations named exactly `llvm.intr.fmuladd`), `fused_children` (operations named exactly `math.fma`), and `split_children` (operations named either `arith.mulf` or `arith.addf`); no other operation names, dialects, operands, results, types, or regions are inspected. The first assertion is an unquantified count check that rejects any output containing one or more `llvm.intr.fmuladd` operations anywhere. The second assertion is also an unquantified count check: it accepts an output only if at least one of the two child sequences is empty, so an output with both a `math.fma` and an `arith.mulf` (or `arith.addf`) is rejected, while an output with only `math.fma` ops, only `arith.mulf`/`arith.addf` ops, or neither is accepted. The third assertion is universally quantified over every member of `split_children`, and for each such operation it is guarded by `\"fastmath\" in child.attributes`: when that key is absent the implication holds trivially and the operation passes, and when present the attribute's `canonical_text` must equal one of exactly two literal strings, `\"#arith.fastmath<none>\"` or `\"#arith.fastmath<nnan>\"`, so any other fastmath spelling (including one naming `contract`) is rejected. The only allowed value sources are these hard-coded string literals compared against `op.name` and against `canonical_text`; nothing is drawn from the input program, from other operations, or from computed values. Vacuously, an output with no `arith.mulf` or `arith.addf` operations satisfies the third assertion with no witnesses examined, and an output containing none of the three selected op kinds \u2014 for instance an empty module \u2014 satisfies all three assertions. The postcondition is non-vacuous only when the output actually contains `llvm.intr.fmuladd` operations, contains both child kinds simultaneously, or contains a split child that carries a `fastmath` attribute.",
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