Benchmark

non-incremental/FP/20200911-Pine/1599121861030829000.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:
   x1' := x1 + 0.01 * x2
   x2' := -0.01 * x1 + 0.99 * x2

 Input ranges:
   x1 in [0.0,1.0]
   x2 in [0.0,1.0]

 Invariant:
   -1.0*x1 + -0.33*x2 + 0.88*x1^2 + 0.11*x1*x2 + 0.6*x2^2 <= 0.27
 and
   x1 in [-0.3,1.3]
   x2 in [-0.8,1.0]

 Query: Loop and Invariant and not Invariant'

Benchmark
Size	3956
Compressed Size	1162
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	3948
Compressed Size	1160
Max. Term Depth	30
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	26	fp	23
fp.add	10	fp.mul	19	fp.neg	1	fp.leq	10
fp.eq	2	roundNearestTiesToEven	29

Evaluations

Evaluation	Rating	Solver	Variant	Result	Wallclock	CPU Time
SMT-COMP 2021	0.33 (2/3)	CVC4	CVC4-sq-final_default	sat ✅	798.68600	798.61600
		UltimateEliminator	UltimateEliminator+MathSAT-5.6.6_default	unknown ❌	7.19771	5.15816
		Z3	z3-4.8.11_default	sat ✅	369.06300	368.97300
			z3-4.8.4-d6df51951f4c-wrapped-sq_default	unknown ❌	133.22300	133.21600
SMT-COMP 2024		Bitwuzla	Bitwuzla	sat ✅	39.20668	39.09009
		cvc5	cvc5	sat ✅	32.86442	32.74751
SMT-COMP 2025		Bitwuzla	Bitwuzla	sat ✅	25.34060	25.21449
		cvc5	cvc5	sat ✅	66.42568	66.29095
		UltimateEliminator	UltimateEliminator+MathSAT	sat ✅	1142.79463	1146.96215