Benchmark

non-incremental/FP/20200911-Pine/1599121979145443000.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:
   -0.07*u + 0.01*v + 1.0*u^2 + 0.04*u*v + 0.12*v^2 <= 1.63
 and
   u in [-1.2,1.2]
   v in [-3.8,3.5]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size3953
Compressed Size1199
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 3945
Compressed Size1223
Max. Term Depth30
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and6 let26 fp23
fp.add10 fp.sub1 fp.mul19 fp.neg1
fp.leq10 fp.eq2 roundNearestTiesToEven30

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 0.33 (2/3) CVC4 CVC4-sq-final_default sat ✅ 84.20210 84.14420
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 7.09359 4.20165
Z3 z3-4.8.11_default sat ✅ 216.35400 216.34100
z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 136.91800 136.91200
SMT-COMP 2023 0.33 (2/3) Bitwuzla Bitwuzla-fixed_default sat ✅ 11.40670 11.40580
cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 241.86600 241.80600
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 6.81628 8.61412
SMT-COMP 2024 Bitwuzla Bitwuzla sat ✅ 14.86202 14.75624
cvc5 cvc5 sat ✅ 213.47562 213.36756
SMT-COMP 2025 Bitwuzla Bitwuzla sat ✅ 26.10398 25.97155
cvc5 cvc5 sat ✅ 815.81813 815.57947
UltimateEliminator UltimateEliminator+MathSAT sat ✅ 517.67762 520.90424