MARCO: an efficient MUS and MSS/MCS enumeration tool
This is a Python implementation of the MARCO/MARCOs algorithm [1,2] for enumerating MUSes and MSS/MCSes of infeasible constraint systems (currently: CNF, GCNF, and SMT). This implementation makes use of MUSer2 [3,4] for MUS extraction and MiniSAT 2.2  for satisfiability testing and the generation of SAT models.
Please contact Mark Liffiton (firstname.lastname@example.org) in case of any errors or questions.
 MARCO M. Liffiton, A. Previti, A. Malik, and J. Marques-Silva (2016) "Fast, Flexible MUS Enumeration." In: Constraints 21(2):223-250.
 MARCOs (parallel MARCO) W. Zhao and M. Liffiton (2016) "Parallelizing Partial MUS Enumeration." In: Proc. ICTAI 2016.
 MUSer2 A. Belov and J. Marques-Silva (2012) "MUSer2: An efficient MUS extractor." In: Journal on Satisfiability, Boolean Modeling and Computation 8, 123-128.
 MUSer2 (parallel) A. Belov, N. Manthey, and J. Marques-Silva (2013) "Parallel MUS extraction." In: Proc. SAT 2013.
 Minisat 2.2 N. Een and N. Sörensson (2003) "An Extensible SAT-solver." In: Proc. SAT 2003. N. Een and A. Biere (2005) "Effective Preprocessing in SAT through Variable and Clause Elimination." In: Proc. SAT 2005.
This implementation makes use of Python bindings for MiniSAT that must be built before running MARCO.
- OS X
- Python 2.7 or above (compatible with Python 3)
- A standard build environment (make, gcc or clang, etc.)
To build and test the Python bindings:
$ cd pyminisolvers $ make $ python test_minisolvers.py
Additionally, the following are recommended, depending on your needs:
Z3 Python interface for analyzing SMT instances.
Available as part of the Z3 distribution: https://github.com/Z3Prover/z3
A MUSer2 binary. The included
muser2-parabinary is compiled for x86-64 Linux. For other platforms, download and compile from the source (license: GPL).
Available from: https://bitbucket.org/anton_belov/muser2-para
Without a working MUSer2 binary, you can still run MARCO in a fall-back mode that uses a basic, much less efficient deletion-based MUS extractor using Minisat directly (see the
./marco.py --help for a list of available options.
Input files may be in CNF, GCNF (group oriented CNF), or SMT2 format. Input files may be gzipped.
The supported GCNF format is specified in: http://www.satcompetition.org/2011/rules.pdf
The output lists MUSes ("U") and MSSes ("S"), one per line. In 'verbose' mode (-v), each line also lists the indexes of the constraints included in each set (with 1-based counting). MCSes are the complements of the MSSes w.r.t. the original set of input constraints (e.g., if MARCO reports an MSS "1 3 4" for a 5-constraint input, the corresponding MCS is constraints 2 and 5). If you want the MCSes printed directly, use the '--print-mcses' command line option; MCSes will be printed on lines starting with "C" (in place of the "S" lines for their MSSes).
- MARCO: Mark Liffiton and Wenting Zhao
- MUSer2: Anton Belov, Norbert Manthey, and Joao Marques-Silva
- MiniSAT: Niklas Een and Niklas Sörensson