Benchmark

non-incremental/LIA/20250213-Frobenius/fcp_5_7.smt2

Instances of the Frobenius coin problem with two coins involving multiple
quantifier alternations that seem difficult for modern SMT solvers.
Benchmark
Size747
Compressed Size459
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 739
Compressed Size455
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 Int5 +2 *4
<=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2025 0.62 (3/8) Amaya Amaya sat ✅ 1.10773 0.97990
cvc5 cvc5 unknown ❌ 1201.78755 1201.47321
iProver iProver v3.9.3 unknown ❌ 1201.77948 4768.72975
SMTInterpol SMTInterpol unknown ❌ 0.55890 0.69960
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1.70763 4.12021
YicesQS YicesQS unknown ❌ 1201.78501 1201.12339
Z3alpha Z3-alpha sat ✅ 0.47236 0.63129
Z3 Z3-alpha-base sat ✅ 0.33748 0.22244