Benchmark

non-incremental/FP/20200911-Pine/1599121977787050000.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:
   0.02*v + 1.0*u^2 + 0.03*u*v + 0.09*v^2 <= 0.94
 and
   u in [-1.0,1.0]
   v in [-3.3,3.1]

 Query: Loop and Invariant and not Invariant'

Benchmark
Size	3782
Compressed Size	1171
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	3774
Compressed Size	1177
Max. Term Depth	29
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	25	fp	22
fp.add	8	fp.sub	1	fp.mul	18	fp.neg	1
fp.leq	10	fp.eq	2	roundNearestTiesToEven	27

Evaluations

Evaluation	Rating	Solver	Variant	Result	Wallclock	CPU Time
SMT-COMP 2021	0.33 (2/3)	CVC4	CVC4-sq-final_default	sat ✅	991.38400	991.14400
		UltimateEliminator	UltimateEliminator+MathSAT-5.6.6_default	unknown ❌	7.13546	4.28524
		Z3	z3-4.8.11_default	sat ✅	985.89100	985.76200
			z3-4.8.4-d6df51951f4c-wrapped-sq_default	unknown ❌	216.30800	216.19000
SMT-COMP 2025		Bitwuzla	Bitwuzla	sat ✅	55.16062	55.02774
		cvc5	cvc5	sat ✅	8.01561	7.78554
		UltimateEliminator	UltimateEliminator+MathSAT	sat ✅	754.77827	758.44126