Benchmark

non-incremental/FP/20200911-Pine/1599121886388280000.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 + 0.09*y + 1.0*x^2 + -0.01*x*y + 0.96*y^2 <= 0.24
 and
   x in [-0.4,0.3]
   y in [-0.4,0.3]

 Query: Loop and Invariant and not Invariant'

Benchmark
Size	4197
Compressed Size	1201
License	Creative Commons Attribution 4.0 International (CC-BY-4.0)
Category	industrial
First Occurrence	2021-07-18
Generated By	Anastasiia Izycheva, Eva Darulova
Generated On	2020-09-11 00:00:00
Generator	Pine (using Z3 Python API)
Dolmen OK	1
strict Dolmen OK	1
check-sat calls	1

Query 1

Status	unknown
Inferred Status	sat
Size	4189
Compressed Size	1239
Max. Term Depth	34
Asserts	1
Declared Functions	0
Declared Constants	4
Declared Sorts	0
Defined Functions	0
Defined Recursive Functions	0
Defined Sorts	0
Constants	0
Declared Datatypes	0

Symbols

not	1	and	6	let	30	fp	23
fp.add	13	fp.mul	21	fp.neg	2	fp.leq	10
fp.eq	2	roundNearestTiesToEven	34

Evaluations

Evaluation	Rating	Solver	Variant	Result	Wallclock	CPU Time
SMT-COMP 2021	0.33 (2/3)	CVC4	CVC4-sq-final_default	sat ✅	16.09830	16.09930
		UltimateEliminator	UltimateEliminator+MathSAT-5.6.6_default	unknown ❌	7.13651	4.31799
		Z3	z3-4.8.11_default	sat ✅	284.17500	284.10800
			z3-4.8.4-d6df51951f4c-wrapped-sq_default	unknown ❌	231.03400	230.92700
SMT-COMP 2025		Bitwuzla	Bitwuzla	sat ✅	25.00165	24.86999
		cvc5	cvc5	sat ✅	20.66205	20.54346
		UltimateEliminator	UltimateEliminator+MathSAT	sat ✅	117.12892	119.85039