Benchmark

non-incremental/QF_NRA/20200911-Pine/1599121862252472000.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 + -0.32*x2 + 0.88*x1^2 + 0.19*x1*x2 + 0.73*x2^2 <= 0.54
 and
   x1 in [-0.4,1.5]
   x2 in [-0.9,1.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1914
Compressed Size912
License Creative Commons Attribution 4.0 International (CC-BY-4.0)
Categoryindustrial
First Occurrence2021-07-18
Generated ByAnastasiia Izycheva, Eva Darulova
Generated On2020-09-11 00:00:00
GeneratorPine (using Z3 Python API)
Dolmen OK1
strict Dolmen OK1
check-sat calls1
Query 1
Status unknown
Inferred Status sat
Size 1906
Compressed Size918
Max. Term Depth16
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and6 =2 let7
/19 +10 -9 *19
<=4 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.03807 0.03848
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.09726 0.09729
Par4 Par4-wrapped-sq_default sat ✅ 0.02213 0.00621
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.07431 0.07431
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.03247 0.03242
Z3alpha z3alpha_default sat ✅ 0.02548 0.02568
Z3++ z3++0715_default sat ✅ 0.28692 0.28703
Z3++_sq_0526_default sat ✅ 0.29208 0.29212