Benchmark

non-incremental/QF_NRA/20200911-Pine/1599121979347401000.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:
   -0.09*u + 0.01*v + 1.0*u^2 + 0.04*u*v + 0.11*v^2 <= 1.66
 and
   u in [-1.2,1.3]
   v in [-3.9,3.7]

 Query: Loop and Invariant and not Invariant'

Benchmark
Size	1937
Compressed Size	940
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	940
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	8
/	22	+	10	-	8	*	20
<=	4	>=	6

Evaluations

Evaluation	Rating	Solver	Variant	Result	Wallclock	CPU Time
SMT-COMP 2021	0.70 (3/10)	CVC4	CVC4-sq-final_default	unknown ❌	33.34870	33.32680
		cvc5	cvc5-fixed_default	unknown ❌	1200.01000	1199.84000
		Par4	Par4-wrapped-sq_default	sat ✅	0.02193	0.00601
		UltimateEliminator	UltimateEliminator+MathSAT-5.6.6_default	unknown ❌	1200.03000	1203.59000
		Vampire	vampire_smt_4.6-fixed_vampire_smtcomp	unknown ❌	1200.04000	4633.11000
		YicesQS	yices-QS-2021-06-13under10_default	sat ✅	0.07646	0.07651
		Z3	z3-4.8.11_default	sat ✅	0.02206	0.02216
			z3-4.8.8_default	sat ✅	0.03736	0.03737