Benchmark

non-incremental/FP/20200911-Pine/1599122166696262000.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:
   -1.0*u + 0.25*v + 0.83*u^2 + -0.11*u*v + 0.06*v^2 <= 1.36
 and
   u in [-0.7,2.1]
   v in [-7.2,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size4056
Compressed Size1249
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 4048
Compressed Size1261
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 2021 0.33 (2/3) CVC4 CVC4-sq-final_default sat ✅ 301.69200 301.69200
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 7.10665 4.26805
Z3 z3-4.8.11_default sat ✅ 993.74600 993.61500
z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 278.98700 278.90000
SMT-COMP 2022 0.25 (3/4) Bitwuzla Bitwuzla-wrapped_default sat ✅ 131.58500 131.59100
cvc5 cvc5_default sat ✅ 174.38400 174.31000
cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 116.65300 116.65900
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 6.87161 5.05647
Z3 z3-4.8.17_default sat ✅ 250.07100 250.03300
SMT-COMP 2023 0.33 (2/3) Bitwuzla Bitwuzla-fixed_default sat ✅ 11.81790 11.81630
cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 204.98100 204.96800
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 6.83217 4.30429
SMT-COMP 2024 Bitwuzla Bitwuzla sat ✅ 7.38975 7.28963
cvc5 cvc5 sat ✅ 193.15009 193.04263
SMT-COMP 2025 0.33 (2/3) Bitwuzla Bitwuzla sat ✅ 28.75823 28.62779
cvc5 cvc5 sat ✅ 118.15735 118.00806
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1201.75236 1205.55446