Benchmark

non-incremental/FP/20200911-Pine/1599121863080353000.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:
   x1' := x1 + 0.01 * x2
   x2' := -0.01 * x1 + 0.99 * x2

 Input ranges:
   x1 in [0.0,1.0]
   x2 in [0.0,1.0]

 Invariant:
   -1.0*x1 + -0.46*x2 + 0.88*x1^2 + 0.34*x1*x2 + 0.84*x2^2 <= 0.73
 and
   x1 in [-0.5,1.5]
   x2 in [-1.0,1.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size3953
Compressed Size1165
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 Size1180
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.mul19 fp.neg1 fp.leq10
fp.eq2 roundNearestTiesToEven29

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2022 0.25 (3/4) Bitwuzla Bitwuzla-wrapped_default sat ✅ 23.53790 23.53500
cvc5 cvc5_default sat ✅ 298.63700 298.56200
cvc5-default-2022-07-02-b15e116-wrapped_sq unknown ❌ 1200.04000 1196.60000
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 6.80926 4.23862
Z3 z3-4.8.17_default sat ✅ 291.37100 291.34200
SMT-COMP 2023 0.33 (2/3) Bitwuzla Bitwuzla-fixed_default sat ✅ 28.52220 28.51340
cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 212.59900 212.55800
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 6.80887 4.25827
SMT-COMP 2024 Bitwuzla Bitwuzla sat ✅ 35.35229 35.23946
cvc5 cvc5 sat ✅ 957.62010 957.49474
SMT-COMP 2025 0.67 (1/3) Bitwuzla Bitwuzla sat ✅ 11.36026 11.23015
cvc5 cvc5 unknown ❌ 1201.78747 1200.93286
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1201.75565 1205.37242