Benchmark

non-incremental/LIA/20250213-Frobenius/fcp_3_5.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 Size454
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 ✅ 1.10203 0.97776
cvc5 cvc5 unknown ❌ 1201.78638 1201.06447
iProver iProver v3.9.3 unknown ❌ 1201.79337 4766.96440
SMTInterpol SMTInterpol unknown ❌ 0.53219 0.66319
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1.99218 4.19576
YicesQS YicesQS unknown ❌ 1201.79166 1201.20570
Z3alpha Z3-alpha sat ✅ 0.42077 0.41944
Z3 Z3-alpha-base sat ✅ 0.35058 0.22736