Benchmark

non-incremental/FP/20200911-Pine/1599122166142662000.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 + 0.24*v + 0.83*u^2 + -0.1*u*v + 0.07*v^2 <= 1.46
 and
   u in [-0.7,2.1]
   v in [-6.5,3.0]

 Query: Loop and Invariant and not Invariant'

Benchmark
Size	4049
Compressed Size	1231
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	4041
Compressed Size	1255
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 ✅	170.87800	170.87600
		UltimateEliminator	UltimateEliminator+MathSAT-5.6.6_default	unknown ❌	7.11230	4.30725
		Z3	z3-4.8.11_default	sat ✅	1188.55000	1188.44000
			z3-4.8.4-d6df51951f4c-wrapped-sq_default	unknown ❌	516.07900	515.93900
SMT-COMP 2025		Bitwuzla	Bitwuzla	sat ✅	35.97268	35.84151
		cvc5	cvc5	sat ✅	50.07854	49.93913
		UltimateEliminator	UltimateEliminator+MathSAT	sat ✅	747.47899	750.93303