Benchmark

non-incremental/QF_NRA/20200911-Pine/1599121863332013000.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 + -0.48*x2 + 0.89*x1^2 + 0.39*x1*x2 + 0.88*x2^2 <= 0.77
 and
   x1 in [-0.5,1.7]
   x2 in [-1.0,1.0]

 Query: Loop and Invariant and not Invariant'

Benchmark
Size	1929
Compressed Size	912
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	1921
Compressed Size	927
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	8
/	17	+	10	-	9	*	19
<=	4	>=	6

Evaluations

Evaluation	Rating	Solver	Variant	Result	Wallclock	CPU Time
SMT-COMP 2021	0.50 (5/10)	CVC4	CVC4-sq-final_default	sat ✅	19.85860	19.85730
		cvc5	cvc5-fixed_default	sat ✅	15.21270	15.21140
		Par4	Par4-wrapped-sq_default	sat ✅	0.02184	0.00625
		UltimateEliminator	UltimateEliminator+MathSAT-5.6.6_default	unknown ❌	1200.05000	1203.61000
		Vampire	vampire_smt_4.6-fixed_vampire_smtcomp	unknown ❌	1200.04000	4651.75000
		YicesQS	yices-QS-2021-06-13under10_default	sat ✅	0.04635	0.04638
		Z3	z3-4.8.11_default	sat ✅	0.02562	0.02572
			z3-4.8.8_default	sat ✅	0.04003	0.04006