Benchmark

non-incremental/LIA/20250213-Frobenius/fcp_23_29_31.smt2

Instances of the Frobenius coin problem with three coins involving multiple
quantifier alternations that seem difficult for modern SMT solvers.
Benchmark
Size811
Compressed Size473
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 803
Compressed Size469
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 ✅ 1.69310 1.57340
cvc5 cvc5 unknown ❌ 1201.78809 1201.34171
iProver iProver v3.9.3 unknown ❌ 1201.79023 4769.08077
SMTInterpol SMTInterpol unknown ❌ 0.56626 0.83392
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1.76194 4.21825
YicesQS YicesQS unknown ❌ 1201.74805 1201.01710
Z3alpha Z3-alpha sat ✅ 49.81818 197.93359
Z3 Z3-alpha-base sat ✅ 133.34552 133.19167