Benchmark

non-incremental/QF_NRA/20200911-Pine/1599122160908580000.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:
   -0.87*u + 0.12*v + 1.0*u^2 + -0.07*u*v + 0.08*v^2 <= 1.15
 and
   u in [-0.5,1.6]
   v in [-4.3,3.0]

 Query: Loop and Invariant and not Invariant'

Benchmark
Size	1937
Compressed Size	933
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	1929
Compressed Size	949
Max. Term Depth	17
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	=	2	let	9
/	20	+	10	-	10	*	20
<=	4	>=	6

Evaluations

Evaluation	Rating	Solver	Variant	Result	Wallclock	CPU Time
SMT-COMP 2023		cvc5	cvc5-default-2023-05-16-ea045f305_sq	sat ✅	0.02981	0.03035
		NRA-LS	cvc5-NRA-LS-sq_default	sat ✅	0.04633	0.04640
		Par4	Par4-wrapped-sq_default	sat ✅	0.01931	0.00620
		SMT-RAT	SMT-RAT-MCSAT_default	sat ✅	0.01915	0.01913
		Yices2	Yices 2 for SMTCOMP 2023_default	sat ✅	0.01562	0.01556
		Z3alpha	z3alpha_default	sat ✅	0.02782	0.02804
		Z3++	z3++0715_default	sat ✅	0.28897	0.28840
			Z3++_sq_0526_default	sat ✅	0.29297	0.29305