Benchmark

non-incremental/FP/20200911-Pine/1599121978742338000.smt2

These benchmarks were generated while developing the tool Pine [1], which uses
CVC4/Z3 to check inductiveness of invariants. The work is described in [2].

[1] https://github.com/izycheva/pine
[2] A.Izycheva, E.Darulova, H.Seidl, SAS'20, "Counterexample- and Simulation-Guided Floating-Point Loop Invariant Synthesis"

 Loop:
   u' := u + 0.01 * v
   v' := v + 0.01 * (-0.5 * v - 9.81 * u)

 Input ranges:
   u in [0.0,0.0]
   v in [2.0,3.0]

 Invariant:
   -0.04*u + 0.03*v + 1.0*u^2 + 0.04*u*v + 0.12*v^2 <= 1.41
 and
   u in [-1.2,1.2]
   v in [-3.5,3.3]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size4053
Compressed Size1208
License Creative Commons Attribution 4.0 International (CC-BY-4.0)
Categoryindustrial
First Occurrence2021-07-18
Generated ByAnastasiia Izycheva, Eva Darulova
Generated On2020-09-11 00:00:00
GeneratorPine (using Z3 Python API)
Dolmen OK1
strict Dolmen OK1
check-sat calls1
Query 1
Status unknown
Inferred Status sat
Size 4045
Compressed Size1224
Max. Term Depth31
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and6 let27 fp24
fp.add10 fp.sub1 fp.mul20 fp.neg1
fp.leq10 fp.eq2 roundNearestTiesToEven31

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2022 0.25 (3/4) Bitwuzla Bitwuzla-wrapped_default sat ✅ 81.03490 81.03120
cvc5 cvc5_default sat ✅ 228.67300 228.61500
cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 57.68270 57.66980
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 6.82307 4.27066
Z3 z3-4.8.17_default sat ✅ 431.10300 430.94000
SMT-COMP 2024 Bitwuzla Bitwuzla sat ✅ 26.47844 26.36439
cvc5 cvc5 sat ✅ 148.40657 148.29645
SMT-COMP 2025 Bitwuzla Bitwuzla sat ✅ 74.34386 74.20193
cvc5 cvc5 sat ✅ 63.83630 63.69520
UltimateEliminator UltimateEliminator+MathSAT sat ✅ 859.78301 863.42093