Benchmark

non-incremental/LIA/20250213-Frobenius/fcp_3_5_7.smt2

Instances of the Frobenius coin problem with three coins involving multiple
quantifier alternations that seem difficult for modern SMT solvers.
Benchmark
Size805
Compressed Size472
License Creative Commons Attribution 4.0 International (CC-BY-4.0)
Categorycrafted
First Occurrence2025-08-11
Generated ByVojtěch Havlena, Michal Hečko, Lukáš Holík, Ondřej Lengál
Generated On2025-02-13 00:00:00
Generator
Dolmen OK1
strict Dolmen OK1
check-sat calls1
Query 1
Status sat
Inferred Status sat
Size 797
Compressed Size466
Max. Term Depth9
Asserts 1
Declared Functions0
Declared Constants1
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not2 and3 =>3 =2
forall3 Int7 +2 *6
<=8

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2025 0.62 (3/8) Amaya Amaya sat ✅ 1.11911 0.99979
cvc5 cvc5 unknown ❌ 1202.27116 1201.57634
iProver iProver v3.9.3 unknown ❌ 1201.79840 4770.18846
SMTInterpol SMTInterpol unknown ❌ 0.57910 0.82521
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1.77910 4.25971
YicesQS YicesQS unknown ❌ 1201.75376 1201.09621
Z3alpha Z3-alpha sat ✅ 0.43513 0.45333
Z3 Z3-alpha-base sat ✅ 0.31117 0.19040