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2020-09-16Dump commands in internal code using command printing functions. (#5040)Abdalrhman Mohamed
This is work towards migrating commands to the new API. Internal code that creates command objects just for dumping is replaced with direct calls to functions that print the those commands.
2020-09-01Removes old proof code (#4964)Haniel Barbosa
This deletes much of the old proof code. Basically everything but the minimal necessary infra-structure for producing unsat cores. That includes dependency tracking in preprocessing, the prop engine proof and the unsat core computation code in the old proof manager. These should also go once we fully integrate into master the new proof infrastructure. It also cleans interfaces that were using old-proof-code-specific constructs (such as LemmaProofRecipe). When possible or when it made sense standalone local proof production code was kept, but deactivated (such is in the equality engine and in the arithmetic solver).
2020-08-17Dynamic allocation of equality engine in Theory (#4890)Andrew Reynolds
This commit updates Theory so that equality engines are allocated dynamically. The plan is to make this configurable based on the theory combination method. The fundamental changes include: - Add `d_equalityEngine` (raw) pointer to Theory, which is the "official" equality engine of the theory. - Standardize methods for initializing Theory. This is now made more explicit in the documentation in theory.h, and includes a method `finishInitStandalone` for users of Theory that don't have an associated TheoryEngine. - Refactor TheoryEngine::finishInit, including how Theory is initialized to incorporate the new policy. - Things related to master equality engine are now specific to EqEngineManagerDistributed and hence can be removed from TheoryEngine. This will be further refactored in forthcoming PRs. Note that the majority of changes are due to changing `d_equalityEngine.` to `d_equalityEngine->` throughout.
2020-07-28Use lemma property enum for OutputChannel::lemma (#4755)Andrew Reynolds
There are 3 Boolean flags for OutputChannel::lemma, and plans to add another for relevance. This makes them into a enum.
2020-07-10(proof-new) Update Theory interface for proof-new (#4648)Andrew Reynolds
This includes 4 changes: Theory constructor takes a ProofNodeManager, Theory::explain returns a TrustNode (of kind PROP_EXP), Theory::expandDefinitions returns a TrustNode (of kind REWRITE), Theory::ppRewrite returns a TrustNode (of kind REWRITE). These are all currently planned updates to the interface of Theory. This PR also connects some of the existing proof rule checkers into the proof checker, if one is provided to the constructor. It updates TheoryEngine and other places to process TrustNode in trivial ways (converting them into Node). These calls will later be updated as needed for proof support. This PR is also contingent on the performance tests for proof-new on SMT-LIB.
2020-07-02Remove SWIG bindings (#4683)Andres Noetzli
This commit removes support for SWIG bindings for the legacy API. The bindings were already broken by 19054b3b1d427e662d30d4322df2b2f2361353da and we are not planning on using SWIG for the Java API for the new API.
2020-06-19Generalize atom collection in old proof code (#4626)Haniel Barbosa
Before terms in assertions that are not sent to the SAT solver could be collected by the old proof code as atoms and thus expected to have a corresponding SAT variable. This commit fixes this by making the atom collection from assertions more conservative.
2020-06-18Improve memory management in Java bindings (#4629)Andres Noetzli
Fixes #2846. One of the challenges of the Java bindings is that the garbage collector can delete unused objects at any time in any order. This is an issue with CVC4's API because we require all `Expr`s to be deleted before the corresponding `ExprManager`. In the past, we were using `NewGlobalRef`/`DeleteGlobalRef` on the wrapper object of `ExprManager`. The problem is that we can have multiple instances of the wrapper that internally all refer to the same `ExprManager`. This commit implements a different approach where the Java wrappers hold an explicit reference to the `ExprManager`. The commit also removes some unused or unimportant API bits from the bindings.
2020-06-16Update copyright headers.Aina Niemetz
2020-03-27Fix issues with unsat cores and reset-assertions (#4159)Andres Noetzli
Fixes #4151. Commit e9f4cec2cad02e270747759223090c16b9d2d44c fixed how `(reset-assertions)` is handled by destroying and recreating the `PropEngine` owned by `SmtEngine`. When unsat cores are enabled, creating a `PropEngine` triggers the creation of a SAT proof and a CNF proof. In the `ProofManager`, we had assertions that checked that those kinds of proofs were only created once, which is not true anymore. This commit removes the assertions, cleans up the memory management in `ProofManager` to use `std::unique_ptr` and makes all the `ProofManager::init*` methods non-static for consistency. The commit also fixes an additional issue that I encountered while testing the fix: When creating the new `PropEngine`, we were not asserting `true` and `(not false)`, which lead to an error if we tried to get the unsat core after a `(reset-assertion)` command and we had asserted `(assert false)`. The commit fixes this by asserting `true` and `(not false)` in the constructor of `PropEngine`. The regression test is an extension of the example in #4151 and covers both issues.
2020-03-18Move node visitor class from smt_util/ to expr/ (#4110)Alex Ozdemir
Done by: Running rg 'smt_util/node_visitor' -l | xargs sed -i 's/smt_util\/node_visitor/expr\/node_visitor/' in src to change the #includes Moving the file Changing src/expr/CMakeLists.txt and src/CMakeLists.txt clang-format, omitting node_visitor.h. In reference to discussion, here.
2020-03-16Remove AlwaysAssert(false) for hole.Alex Ozdemir
2020-03-16Only save farkas+tightening proofs. Error on holesAlex Ozdemir
I'll remove the error later
2020-03-10Set assertion in `CnfStream::ensureLiteral()` (#3927)Andres Noetzli
Fixes #3814. `CnfProof` has a stack of assertions that are being converted to clauses. `CnfStream::ensureLiteral()` can result in clauses being added to the SAT solver. When adding a clause, we require an assertion that can be associated with the clause (https://github.com/CVC4/CVC4/blob/ba6ade0fc3f4cd339885652bb9bf5c87113c498d/src/prop/minisat/core/Solver.cc#L471-L476). However, in the issue that was reported, the stack was empty, resulting in an assertion failure. This commit fixes the issue by setting the current assertion to be the null node when a literal is being ensured (and changing the proof code to update the assertion associated with a literal if it is currently null). This should be ok since the clauses are not inputs or lemmas (if they are, the assertion associated with the clause will be updated).
2020-03-05Enable -Wshadow and fix warnings. (#3909)Mathias Preiner
Fixes all -Wshadow warnings and enables the -Wshadow compile flag globally. Co-authored-by: Clark Barrett <barrett@cs.stanford.edu> Co-authored-by: Andres Noetzli <andres.noetzli@gmail.com> Co-authored-by: Aina Niemetz <aina.niemetz@gmail.com> Co-authored-by: Alex Ozdemir <aozdemir@hmc.edu> Co-authored-by: makaimann <makaim@stanford.edu> Co-authored-by: yoni206 <yoni206@users.noreply.github.com> Co-authored-by: Andrew Reynolds <andrew.j.reynolds@gmail.com> Co-authored-by: AleksandarZeljic <zeljic@stanford.edu> Co-authored-by: Caleb Donovick <cdonovick@users.noreply.github.com> Co-authored-by: Amalee <amaleewilson@gmail.com> Co-authored-by: Scott Kovach <dskovach@gmail.com> Co-authored-by: ntsis <nekuna@gmail.com>
2020-02-27Fix -Wshadow warnings in common headers (#3826)Andres Noetzli
2020-02-21Switch to th_lira.plf (#3741)Alex Ozdemir
Switches arith_proof.cpp from th_lra to th_lira. Changes: Eliminate the d_realMode hack. instead: modify printOwnedTermAsType prints as integers OR reals, depending on expectedType. simultaneously: write printOwnedTermAsType more concisely also: reimplement printOwnedSort. Change to the LIRA axioms: Because they reason about bound types using side conditions, we no longer need to worry about choosing the correct strictness for our axiom. This allows us to cut out a lot of code, rewriting & shrinking printTheoryLemmaProof. They also have different names. This requires us to change a lot of string literals enable proof-checking for many tests.
2020-02-20Remove front-end support for Chain (#3767)Andrew Reynolds
2020-02-12Rename Java package to edu.stanford.CVC4 (#3752)Andres Noetzli
2020-02-10Implement LFSCArithProof::equalityType. (#3740)Alex Ozdemir
Also, missed an armType use.
2020-02-10Add function for tightening literals (#3732)Alex Ozdemir
* Add function for tightening literals The function tightens a literal if it can be tightened, and prints a proof of the result. * Include a #include Co-authored-by: Andrew Reynolds <andrew.j.reynolds@gmail.com>
2020-02-07Propagate expected types through UF arguments (#3717)Alex Ozdemir
2020-02-07Add `ArithProof::{printInteger,getLfscFunction}` (#3716)Alex Ozdemir
2020-01-31Handle `expectedType` in TheoryProofEngine (#3691)Alex Ozdemir
`TheoryProofEngine` now uses the `expectedType` optional argument. * When printing terms, it sets this for theories that it dispatches too * It occasionally asks theories for help determining the `expectedType` using `equalityType`, which has a sensible default implementation. * It is mindful of `expectedType` when using the let map. I also moved to hpp function implementations into the cpp.
2020-01-29expectedType in proof-printing code (#3665)Alex Ozdemir
* expectedType in proof-printing code To print lemma proofs in theories that use multiple sorts that have a subtype relationship, we need to increase communication between the TheoryProofEngine and the theory proofs themselves. This commit add an (optional) argument `expectedType` to many term-printing functions in TheoryProofEngine and TheoryProof. Right now it is unused, so always takes on the default value of "null" (meaning no type expectation), but in the future the TheoryProofEngine will use it to signal TheoryProof about what type is expected to be printed. * TypeNode, Don't mix default args & virtual * Use TypeNode instead of Type (The former are lighter) * Don't add default arguments to virtual functions, because these cannot be dynamically overriden during a dynamic dispatch. * Since we don't want them to be overidable anyway, we use two functions: one that is non-virtual and has a default, the other that is virtual but has no default. The former just calls the latter. * clang-format after signature changes
2019-12-30[proof] ITE translation fix (#3484)Alex Ozdemir
* Bugfix: convert ifte arms to formulas for printing We have two kinds of ITEs in our LFSC proofs: * ite: for sort-typed expressions * ifte: for formulas Say that we have a Bool-sorted ITE. We had machinery for emitting an `ifte` for it, but this machinery didn't actually convert the arms of the ITE into formulas... Facepalm. Fixed now. * Test the lifting of ITEs from arithmetic. This test verifies that booleans ITEs are correctly lifted to formula ITEs in LRA proofs. It used to fail, but now passes. * clang-format * Typos. * Add test to CMake * Set --check-proofs in test * Address Yoni * Expand printsAsBool documentation * Assert ITE typing soundness * Assert a subtype relation for ITEs, not equality * Update src/proof/arith_proof.h Thanks Yoni! Co-Authored-By: yoni206 <yoni206@users.noreply.github.com> Co-authored-by: yoni206 <yoni206@users.noreply.github.com>
2019-12-17Generate code for options with modes. (#3561)Mathias Preiner
This commit adds support for code generation of options with modes (enums). From now on option enums can be specified in the corresponding *.toml files without the need of extra code. All option enums are now in the options namespace.
2019-12-06[proof] Eliminate side-condition from ER signature (#3230)Alex Ozdemir
* [proof] Eliminate the side condition in er.plf By tweaking the axioms a bit, I got rid of the lone SC in the Extended Resolution signature. * [proof] Changed er_proof.cpp in line with signature The new signature requires slightly different proof printing. * [proof] clang-format er_proof.cpp * Fix tests * [proof] Actually delete the SC * Apply suggestions from code review Co-Authored-By: yoni206 <yoni206@users.noreply.github.com> * Add LFSC-checking unit test for ER proof * Gate the lfsc invocation on the build system * Properly gate the lfsc check on the build system * gate the plf_signatures forward def on the build system
2019-11-18Add a few comments to ProofManager (#3477)Alex Ozdemir
2019-11-18Use -Wimplicit-fallthrough (#3464)Andres Noetzli
This commit enables compiler warnings for implicit fallthroughs in switch statements that are not explicitly marked as such. The commit introduces a new macro `CVC4_FALLTHROUGH` that can be used to indicate that a fallthrough is intentional. The commit fixes existing warnings and a bug in the arithmetic rewriter for `abs` (the bug likely couldn't be triggered easily because we rewrite `abs` to an `ite` while expanding definitions). To have the new macro also available in the parser, the commit changes `src/base/check.h` to be visible to the parser (it includes `cvc4_private_library.h` now instead of `cvc4_private.h`).
2019-10-30Unify CVC4_CHECK/CVC4_DCHECK/AlwaysAssert/Assert. (#3366)Mathias Preiner
2019-07-22Avoid move constructor of std::fstream for GCC < 5 (#3098)Andres Noetzli
GCC < 5 does not support the move constructor of `std::fstream` (see https://gcc.gnu.org/bugzilla/show_bug.cgi?id=54316 for details). This commit wraps the `std::fstream` in an `std::unique_ptr` to work around that issue.
2019-07-02Optimize DRAT optimization: clause matching (#3074)Alex Ozdemir
* improved proof production statistics This commit creates new statistics which will help us understand what is so expensive about proof production. There are already statistics for: * Net time spent building/printing the LFSC proof. * Size of the LFSC proof. This commit adds statistics for: * The time cost of DRAT optimization: * net time * tool time (drat-trim) * clause matching time (matching core clauses with input clauses) * Non-trivial because drat-trim can (and does) dedup and reorder literals * The advantage of DRAT optimization (proof/formula size before/after) * The time cost of DRAT translation [to LRAT or ER] (net time, tool time) * The time cost of skeleton traversal * The time cost of printing declatations * The time cost of printing CNF proofs * The time cost of printing theory lemmas * The time cost of printing final UNSAT proof. There is a method, toStream, which is responsible for much of proof production. The whole method was timed, but subsections were not. The timings above consider subsections of it. I also wanted to better understand the cost of DRAT optimization and translation. * [BV Proof] Optimize DRAT optimization tldr: I made a bad data-structure/algorithm choice when implementing part of DRAT/CNF-optimization, which consumed **a lot** of time on some bechmarks. This commit fixes that choice. Long Version: Set-Keyed Maps Considered Harmful ================================= Algorithmic Problem ------------------- The DRAT optimization process spits out a unsatifiable core of the CNF. The clauses in the core are all from the original formula, but their literals may have been reordered and deduplicated. We must match the old clauses with new ones, so we know which old clauses are in the core. Old (BAD) Solution ------------------ Before I didn't really think about this process very much. I built a solution in which clauses were canonically represented by hash sets of literals, and made a hash map from canonical clauses to clause indices into the original CNF. Problem With Old Solution ------------------------- In hindsight this was a bad idea. First, it required a new hash set to be heap-allocated for every clause in the CNF. Second, the map lookups required set-hashes (reasonable -- linear time, once) and hash-set equality (not reasonable -- quadratic time, multiple times) on every lookup. New Solution ------------ The ideal solution is probably to have the map from clauses to clause ids be something like a trie. STL doesn't have a trie, but representing clauses as sorted, deduped vectors of literal in a tree based on lexicographical comparison is pretty closed to this. On randomly chosen examples it seems to be a huge improvement over the old map-keyed-by-sets solution, and I'm in the process of running a full set of bechmarks. Also, we store pointers to the clauses already stored elsewhere in the proof, instead of allocating new memory for them. Future Work ----------- It may also be reasonable to do a hash map of sorted, deduped, vector clauses. I haven't tried this, yet (there's a TODO in the code). * Update src/proof/clausal_bitvector_proof.h Thanks andres! Co-Authored-By: Andres Noetzli <andres.noetzli@gmail.com> * Respond to Andres' Review: better use of CodeTimer * Removed commented code (Andres)
2019-06-21Use TMPDIR environment variable for temp files (#2849)Andres Noetzli
Previously, we were just writing temporary files to `/tmp/` but this commit allows the user to use the `TMPDIR` environment variable to determine which directory the temporary file should be written to. The commit adds a helper function for this and also includes some minor cleanup of existing code.
2019-06-12Fix warning (#3053)Haniel Barbosa
2019-06-05DRAT-Optimization (#2971)Alex Ozdemir
This commit enables DRAT-optimization, which consists of two sub-processes: 1. removing unnecessary instructions from DRAT-proofs and 2. not proving clauses which are not needed by DRAT proofs. These changes have the effect of dramatically shortening some some bit-vector proofs. Specifically, proofs using lemmas in the ER, DRAT, and LRAT formats, since proofs in any of these formats are derived from a (now optimized!) DRAT proof produced by CryptoMiniSat. What follows is a description of the main parts of this PR: ## DRAT Optimization The DRAT-optimization is done by `drat-trim`, which is bundled with `drat2er`. The (new) function `ClausalBitVectorProof::optimizeDratProof` is our interface to the optimization machinery, and most of the new logic in this PR is in that function. ## CNF Representation The ability to not prove unused clauses requires a slight architectural change as well. In particular, we need to be able to describe **which** subset of the original clause set actually needs to be proved. To facilitate this, when the clause set for CryptoMiniSat is first formed it is represented as a (a) map from clause indices to clauses and (b) a list of indices. Then, when the CNF is optimized, we temporarily store a new list of the clauses in the optimized formula. This change in representation requires a number of small tweaks throughout the code. ## Small Fixes to Signatures When we decided to check and accept two different kinds of DRAT, some of our DRAT-checking broke. In particular, when supporting one kind of DRAT, it is okay to `fail` (crash) when a proof fails to check. If you're supporting two kinds of DRAT, crashing in response to the first checker rejecting the proof denies the second checker an opportunity to check the proof. This PR tweaks the signatures slightly (and soundly!) to do something else instead of `fail`ing.
2019-05-15Fix iterators in Java API (#3000)Andres Noetzli
Fixes #2989. SWIG 3 seems to have an issue properly resolving `T::const_iterator::value_type` if that type itself is a `typedef`. This is for example the case in the `UnsatCore` class, which `typedef`s `const_iterator` to `std::vector<Expr>::const_iterator`. As a workaround, this commit changes the `JavaIteratorAdapter` class to take two template parameters, one of which is the `value_type`. The commit also adds a compile-time assertion that `T::const_iterator::value_type` can be converted to `value_type` to avoid nasty surprises. A nice side-effect of this solution is that explicit `typemap`s are not necessary anymore, so they are removed. Additionally, the commit adds a `toString()` method for the Java API of `UnsatCore` and adds examples that show and test the iteration over the unsat core and the statistics. Iterating over `Statistics` now returns instances of `Statistic` instead of `Object[]`, which is a bit cleaner and requires less glue code.
2019-04-24Do not use __ prefix for header guards. (#2974)Mathias Preiner
Fixes 2887.
2019-04-18 Less aggressive caching in equality engine when proofs are enabled (#2964)Andrew Reynolds
2019-03-26Update copyright headers.Aina Niemetz
2019-03-16Enable CryptoMiniSat-backed BV proofs (#2847)Alex Ozdemir
* Connect the plumbing so that BV proofs are enabled when using CryptoMiniSat * Also fixed a bug in CNF-proof generation * Specifically, CNF proofs broke when proving tautological clauses. Now they don't.
2019-03-13Add statistics for proof gen./checking time, size (#2850)Andres Noetzli
This commit adds a statistic that records the total size of all proofs generated by an instance of `SmtEngine`. The commit also moves `SmtEngine::checkProof()` into `smt_engine.cpp` because it needs to know the complete type of `d_stats` (and the separate file for that method didn't seem that useful). Additionally, it changes `smt::SmtEngine::checkProofTime` to `smt::SmtEngine::lfscCheckProofTime` that only measures the time spent in LFSC and adds a statistic `proof::ProofManager::proofProductionTime` that measures the proof production time separately (also works with `get-proof`/`--dump-proof`).
2019-02-28ErProof class with LFSC output (#2812)Alex Ozdemir
* ErProof class with LFSC output * Created a TraceCheckProof class * parsable from text * Created an ErProof class * constructible from a TraceCheckProof * writable as LFSC * A bunch of unit tests * Reponded to Mathias's first set of comments. Credits to Mathias for many of the fixes! * Responed to Andres's first set, fixed tests I accidentally deleted a "!" last time, causing stuff to fail. * Use Configuration::isAssertionBuild * Clarified comment * Responded to Andres's 2nd review * Gaurding against a memory error. * Renaming a file. * Aggressively unlinking temporary files.
2019-01-18Extract DIMACS Printing (#2800)Alex Ozdemir
Creating LRAT proofs reuqires writing SAT problems in the DIMACS format. Before this code was in the LRAT class. However, since creating ER proofs will also require writing DIMACS, I decided to extract it. At the same time I realized that my prior representation of used clauses was unnecessarily poor. I had chosen it to align with `CnfProof::collectAtomsForClauses`, but the format is really bad (it requires extra allocations & manual memory management), and I discovered that the aforementioned method is super simple, so I'm moving to a better format.
2019-01-14ClausalBitvectorProof (#2786)Alex Ozdemir
* [DRAT] ClausalBitvectorProof Created a class, `ClausalBitvectorProof`, which represents a bitvector proof of UNSAT using an underlying clausal technique (DRAT, LRAT, etc) It fits into the `BitvectorProof` class hierarchy like this: ``` BitvectorProof / \ / \ ClausalBitvectorProof ResolutionBitvectorProof ``` This change is a painful one because all of the following BV subsystems referenced ResolutionBitvectorProof (subsequently RBVP) or BitvectorProof (subsequently BVP): * CnfStream * SatSolver (specifically the BvSatSolver) * CnfProof * TheoryProof * TheoryBV * Both bitblasters And in particular, ResolutionBitvectorProof, the CnfStream, and the SatSolvers were tightly coupled. This means that references to and interactions with (R)BVP were pervasive. Nevertheless, an SMT developer must persist. The change summary: * Create a subclass of BVP, called ClausalBitvectorProof, which has most methods stubbed out. * Make a some modifications to BVP and ResolutionBitvectorProof as the natural division of labor between the different classes becomes clear. * Go through all the components in the first list and try to figure out which kind of BVP they should **actually** be interacting with, and how. Make tweaks accordingly. * Add a hook from CryptoMinisat which pipes the produced DRAT proof into the new ClausalBitvectorProof. * Add a debug statement to ClausalBitvectorProof which parses and prints that DRAT proof, for testing purposes. Test: * `make check` to verify that we didn't break any old stuff, including lazy BB, and eager BB when using bvminisat. * `cvc4 --dump-proofs --bv-sat-solver=cryptominisat --bitblast=eager -d bv::clausal test/regress/regress0/bv/ackermann2.smt2`, and see that 1. It crashed with "Unimplemented" 2. Right before that it prints out the (textual) DRAT proof. * Remove 2 unneeded methods * Missed a rename * Typos Thanks Andres! Co-Authored-By: alex-ozdemir <aozdemir@hmc.edu> * Address Andres comments * Reorder members of TBitblaster
2019-01-13LFSC LRAT Output (#2787)Alex Ozdemir
* LFSC ouput & unit test * Renamed lrat unit test file * s/DRAT/LRAT/ Thanks Andres! Co-Authored-By: alex-ozdemir <aozdemir@hmc.edu> * Addressed Andres' comments 1. Extracted a filter whitespace function. 2. Added @param annotations. * Addressing Yoni's comments Tweaked the test method name for LRAT output as LFSC Added assertions for verifying that clause index lists are sorted during LFSC LRAT output.
2019-01-11LratInstruction inheritance (#2784)Alex Ozdemir
While implementing and testing LRAT proof output as LFSC, I discovered that my implementation of LratInstruction as a tagged union was subtly broken for reasons related to move/copy assignment/constructors. While I could have figured out how to fix it, I decided to stop fighting the system and use inheritance. This PR will be followed by one using the inheritance-based LratInstruction to implement output to LFSC.
2019-01-11Fixed linking against drat2er, and use drat2er (#2785)Alex Ozdemir
* Fixed linking against drat2er/drat-trim We have machinery for linking against drat2er. However, this machinery didn't quite work because libdrat2er.a contains an (undefined) reference to `run_drat_trim` from libdrat-trim.a. Thus, when linking against libdrat2er.a, we also need to link against libdrat-trim.a. I made this change, and then tested it by actually calling a function from the drat2er library (CheckAndConvertToLRAT) which relies on `run_drat_trim`. Since this invocation compiles, we know that the linking is working properly now. * Combined the two libs, per Mathias * drat2er configured gaurds
2019-01-09Clause proof printing (#2779)Alex Ozdemir
* Print LFSC proofs of CNF formulas * Unit Test for clause printing * Added SAT input proof printing unit test * Fixed cnf_holds reference. Proofs of CMap_holds There were references to clauses_hold, which should have been references to cnf_holds. Also added a function for printing a value of type CMap_holds, and a test for this function.
2019-01-09LFSC drat output (#2776)Alex Ozdemir
* LFSC drat output * Addressed Mathias' review Addressing Mathias' review with the following changes: * Added a few blank lines * Added a unit test for LRAT output as LFSC
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