Benchmark

non-incremental/FP/20200911-Pine/1599122165335664000.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:
   -1.0*u + 0.25*v + 0.87*u^2 + -0.12*u*v + 0.07*v^2 <= 1.45
 and
   u in [-0.7,2.0]
   v in [-6.3,3.0]

 Query: Loop and Invariant and not Invariant'

Benchmark
Size	4052
Compressed Size	1228
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	4044
Compressed Size	1233
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 2022	0.25 (3/4)	Bitwuzla	Bitwuzla-wrapped_default	sat ✅	33.50070	33.50060
		cvc5	cvc5_default	sat ✅	120.16700	120.10700
			cvc5-default-2022-07-02-b15e116-wrapped_sq	sat ✅	78.31200	78.29620
		UltimateEliminator	UltimateEliminator+MathSAT-5.6.7-wrapped_default	unknown ❌	6.80128	4.26617
		Z3	z3-4.8.17_default	sat ✅	87.33810	87.32950
SMT-COMP 2025		Bitwuzla	Bitwuzla	sat ✅	15.76154	15.63026
		cvc5	cvc5	sat ✅	87.54069	87.40805
		UltimateEliminator	UltimateEliminator+MathSAT	sat ✅	877.75818	881.51082