Benchmark

non-incremental/QF_NRA/20200911-Pine/1599121684188100000.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:
   x' := x + 0.01 * (-2*x - 3*y + x*x)
   y' := y + 0.01 * (x + y)

 Input ranges:
   x in [0.0,0.1]
   y in [0.0,0.1]

 Invariant:
   -0.03*x + -0.11*y + 0.33*x^2 + 0.72*x*y + 1.0*y^2 <= 0.01
 and
   x in [-0.2,0.1]
   y in [-0.1,0.2]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1912
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 1904
Compressed Size926
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
/20 +12 -10 *21
<=4 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 0.70 (3/10) CVC4 CVC4-sq-final_default unknown ❌ 1200.03000 1199.88000
cvc5 cvc5-fixed_default unknown ❌ 1200.07000 1200.02000
Par4 Par4-wrapped-sq_default sat ✅ 0.01716 0.00617
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.03000 1203.64000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.04000 4637.61000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.05509 0.05508
Z3 z3-4.8.11_default sat ✅ 0.01949 0.01958
z3-4.8.8_default sat ✅ 0.03541 0.03528
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.14563 0.14588
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.14657 0.14665
Par4 Par4-wrapped-sq_default sat ✅ 0.01741 0.00638
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.14403 0.14396
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.01825 0.01821
Z3alpha z3alpha_default sat ✅ 0.02359 0.02381
Z3++ z3++0715_default sat ✅ 0.29728 0.29636
Z3++_sq_0526_default sat ✅ 0.29370 0.29378