Benchmark

non-incremental/FP/20200911-Pine/1599121886558934000.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:
   x' := x + 0.01 * (-x + 2*x*x + y*y)
   y' := y + 0.01 * (-y + y*y)

 Input ranges:
   x in [-0.4,0.3]
   y in [-0.4,0.3]

 Invariant:
   0.1*x + 0.1*y + 0.98*x^2 + 0.01*x*y + 1.0*y^2 <= 0.24
 and
   x in [-0.4,0.4]
   y in [-0.4,0.3]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size4169
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 unsat
Size 4161
Compressed Size1223
Max. Term Depth33
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and6 let29 fp23
fp.add13 fp.mul21 fp.neg2 fp.leq10
fp.eq2 roundNearestTiesToEven34

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 0.67 (1/3) CVC4 CVC4-sq-final_default unsat ✅ 762.23700 762.10100
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 7.11796 4.27743
Z3 z3-4.8.11_default unknown ❌ 1200.03000 1199.89000
z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 1200.02000 1199.32000
SMT-COMP 2024 Bitwuzla Bitwuzla unsat ✅ 199.60137 199.49847
cvc5 cvc5 unsat ✅ 1160.22172 1159.62118