Benchmark

non-incremental/FP/20200911-Pine/1599121977061095000.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:
   -0.13*u + -0.01*v + 1.0*u^2 + 0.02*u*v + 0.09*v^2 <= 0.79
 and
   u in [-0.9,1.0]
   v in [-2.8,3.0]

 Query: Loop and Invariant and not Invariant'

Benchmark
Size	4038
Compressed Size	1219
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	4030
Compressed Size	1231
Max. Term Depth	31
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	27	fp	24
fp.add	10	fp.sub	1	fp.mul	20	fp.neg	1
fp.leq	10	fp.eq	2	roundNearestTiesToEven	31

Evaluations

Evaluation	Rating	Solver	Variant	Result	Wallclock	CPU Time
SMT-COMP 2021	0.33 (2/3)	CVC4	CVC4-sq-final_default	sat ✅	38.70170	38.69580
		UltimateEliminator	UltimateEliminator+MathSAT-5.6.6_default	unknown ❌	7.14448	4.40080
		Z3	z3-4.8.11_default	sat ✅	610.33200	610.21700
			z3-4.8.4-d6df51951f4c-wrapped-sq_default	unknown ❌	576.67700	576.62600
SMT-COMP 2025	0.33 (2/3)	Bitwuzla	Bitwuzla	sat ✅	106.02032	105.87075
		cvc5	cvc5	sat ✅	19.47447	19.35288
		UltimateEliminator	UltimateEliminator+MathSAT	unknown ❌	1201.79208	1205.74512