Benchmark

non-incremental/FP/20200911-Pine/1599121862069129000.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 + -0.32*x2 + 0.86*x1^2 + 0.19*x1*x2 + 0.68*x2^2 <= 0.49
 and
   x1 in [-0.4,1.4]
   x2 in [-0.9,1.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size3961
Compressed Size1195
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 3953
Compressed Size1202
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 2021 0.67 (1/3) CVC4 CVC4-sq-final_default unknown ❌ 1200.02000 1199.84000
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 7.11436 4.22782
Z3 z3-4.8.11_default sat ✅ 585.85200 585.73700
z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 142.50100 142.47000
SMT-COMP 2023 0.33 (2/3) Bitwuzla Bitwuzla-fixed_default sat ✅ 75.91400 75.91440
cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 197.06100 196.97300
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 6.87070 4.23387
SMT-COMP 2024 Bitwuzla Bitwuzla sat ✅ 107.54257 107.39477
cvc5 cvc5 sat ✅ 108.36996 108.22712
SMT-COMP 2025 Bitwuzla Bitwuzla sat ✅ 39.74739 39.60739
cvc5 cvc5 sat ✅ 185.63344 185.47280
UltimateEliminator UltimateEliminator+MathSAT sat ✅ 1080.80782 1084.74586