Benchmark

non-incremental/QF_NRA/20200911-Pine/1599122160360713000.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:
   -0.83*u + 0.06*v + 1.0*u^2 + -0.12*u*v + 0.08*v^2 <= 0.97
 and
   u in [-0.4,1.5]
   v in [-3.9,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1914
Compressed Size933
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 Size937
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 let8
/20 +10 -10 *20
<=4 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 0.60 (4/10) CVC4 CVC4-sq-final_default unknown ❌ 321.80700 321.76200
cvc5 cvc5-fixed_default sat ✅ 303.05500 303.03700
Par4 Par4-wrapped-sq_default sat ✅ 0.01973 0.00919
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.02000 1203.80000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.10000 4634.29000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.04157 0.04160
Z3 z3-4.8.11_default sat ✅ 0.01907 0.01917
z3-4.8.8_default sat ✅ 0.03449 0.03452
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.04547 0.04614
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.03889 0.03897
Par4 Par4-wrapped-sq_default sat ✅ 0.01951 0.00834
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.01930 0.01927
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.01568 0.01566
Z3alpha z3alpha_default sat ✅ 0.02444 0.02464
Z3++ z3++0715_default sat ✅ 0.28714 0.28721
Z3++_sq_0526_default sat ✅ 0.29139 0.29141