Benchmark

non-incremental/QF_NRA/20200911-Pine/1599122161062257000.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:
   -0.89*u + 0.12*v + 1.0*u^2 + -0.06*u*v + 0.08*v^2 <= 1.16
 and
   u in [-0.5,1.6]
   v in [-4.3,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1895
Compressed Size920
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 1887
Compressed Size938
Max. Term Depth15
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 +10 -10 *20
<=4 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 0.70 (3/10) CVC4 CVC4-sq-final_default unknown ❌ 96.02870 96.02850
cvc5 cvc5-fixed_default unknown ❌ 1200.02000 1199.92000
Par4 Par4-wrapped-sq_default sat ✅ 0.01768 0.00613
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.02000 1203.71000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.05000 4633.72000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.03881 0.03880
Z3 z3-4.8.11_default sat ✅ 0.01955 0.01965
z3-4.8.8_default sat ✅ 0.03467 0.03470
SMT-COMP 2022 0.11 (8/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 0.11026 0.10883
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.06000 1199.98000
NRA-LS NRA-LS-FINAL_default sat ✅ 0.27086 0.27091
Par4 Par4-wrapped-sq_default sat ✅ 0.02988 0.00686
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.03735 0.03730
veriT veriT+raSAT+Redlog_default sat ✅ 0.05688 0.05697
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.02024 0.02022
Z3 z3-4.8.17_default sat ✅ 0.02295 0.02489
Z3++ z3++0715_default sat ✅ 0.28970 0.28975
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.03189 0.03233
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.20997 0.21003
Par4 Par4-wrapped-sq_default sat ✅ 0.01734 0.00632
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.01978 0.01976
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.01729 0.01718
Z3alpha z3alpha_default sat ✅ 0.02347 0.02372
Z3++ z3++0715_default sat ✅ 0.28001 0.28004
Z3++_sq_0526_default sat ✅ 0.29157 0.29165