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This commit makes LazyCDProofChain behave more similarly to LazyCDProof, in that it is an object that not only builds a proof to a fact based on lazy steps but also on regular steps that may already have for it.
The motivation for this commit is the upcoming handling of context-dependent proofs in incremental mode, which benefits from a more uniform behavior between CDProof, LazyCDProof and LazyCDProofChain (with the latter two both extending CDProof).
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Previously the trivial cycle check only covered the case in which the currently-being-expanded assumption `A` had as its stored proof node `pf` an assumption proof justifying itself. However, it can be the case that `pf` is not an assumption proof, but a proof that nevertheless has `A` as one of its free assumptions. This commit generalizes the trivial cycle check to account for this.
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Improves how LazyCDProofChain handles cycles, which fixes a particular case triggered by the added regression. Also makes LazyCDProofChain::getProofFor more robust in that when it can't connect the requested fact it yields an assumption proof node.
Fixes cvc5/cvc5-projects#324
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This implements several variants of lazy proof checking in the core proof checker.
Note this extends the ProofNode class with an additional Boolean d_provenChecked indicating whether the d_proven field was checked by the underlying proof checker.
This PR updates the default proof checking mode to lazy. The previous default can now be enabled by --proof-check=eager-simple.
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This moves all generic proof utilites from src/expr/ and src/theory/ to src/proof/.
It also changes the include for term conversion proof generator to conv_proof_generator in preparation to rename this utility on a followup PR (to avoid confusion with the use of "Term").
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