Benchmark

non-incremental/FP/20200911-Pine/1599121901174413000.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 - (u*u*u)/6.0 + (u*u*u*u*u)/120.0))

 Input ranges:
   u in [0.0,0.0]
   v in [2.0,3.0]

 Invariant:
   -0.15*u + -0.02*v + 1.0*u^2 + 0.03*u*v + 0.1*v^2 <= 0.96
 and
   u in [-0.9,1.1]
   v in [-3.0,3.1]

 Query: Loop and Invariant and not Invariant'

Benchmark
Size	4553
Compressed Size	1310
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	4545
Compressed Size	1325
Max. Term Depth	35
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	31	fp	26
fp.add	11	fp.sub	2	fp.mul	24	fp.div	2
fp.neg	1	fp.leq	10	fp.eq	2	roundNearestTiesToEven	39

Evaluations

Evaluation	Rating	Solver	Variant	Result	Wallclock	CPU Time
SMT-COMP 2022	0.50 (2/4)	Bitwuzla	Bitwuzla-wrapped_default	sat ✅	171.58600	171.54400
		cvc5	cvc5_default	sat ✅	665.17300	661.76700
			cvc5-default-2022-07-02-b15e116-wrapped_sq	sat ✅	232.16000	232.07600
		UltimateEliminator	UltimateEliminator+MathSAT-5.6.7-wrapped_default	unknown ❌	6.81048	4.33578
		Z3	z3-4.8.17_default	unknown ❌	1200.04000	1199.82000
SMT-COMP 2025	0.67 (1/3)	Bitwuzla	Bitwuzla	sat ✅	66.69772	66.55543
		cvc5	cvc5	unknown ❌	1201.77635	1200.95980
		UltimateEliminator	UltimateEliminator+MathSAT	unknown ❌	1201.77424	1205.55719