Benchmark

non-incremental/QF_NRA/20200911-Pine/1599121684653478000.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 * (-2*x - 3*y + x*x)
   y' := y + 0.01 * (x + y)

 Input ranges:
   x in [0.0,0.1]
   y in [0.0,0.1]

 Invariant:
   -0.02*x + -0.09*y + 0.45*x^2 + 1.0*x*y + 0.82*y^2 <= 0.02
 and
   x in [-0.5,0.3]
   y in [-0.2,0.4]

 Query: Loop and Invariant and not Invariant'

Benchmark
Size	1898
Compressed Size	911
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	1890
Compressed Size	925
Max. Term Depth	16
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	7
/	20	+	12	-	10	*	21
<=	4	>=	6

Evaluations

Evaluation	Rating	Solver	Variant	Result	Wallclock	CPU Time
SMT-COMP 2021	0.70 (3/10)	CVC4	CVC4-sq-final_default	unknown ❌	1200.02000	1199.96000
		cvc5	cvc5-fixed_default	unknown ❌	1200.02000	1199.84000
		Par4	Par4-wrapped-sq_default	sat ✅	0.03197	0.00956
		UltimateEliminator	UltimateEliminator+MathSAT-5.6.6_default	unknown ❌	1200.05000	1203.82000
		Vampire	vampire_smt_4.6-fixed_vampire_smtcomp	unknown ❌	1200.03000	4643.19000
		YicesQS	yices-QS-2021-06-13under10_default	sat ✅	0.06739	0.06743
		Z3	z3-4.8.11_default	sat ✅	0.03362	0.03374
			z3-4.8.8_default	sat ✅	0.04816	0.04818