Benchmark

non-incremental/QF_NRA/20200911-Pine/1599122166054343000.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:
   -1.0*u + 0.25*v + 0.84*u^2 + -0.1*u*v + 0.07*v^2 <= 1.41
 and
   u in [-0.7,2.1]
   v in [-6.4,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1898
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 1890
Compressed Size922
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 +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 ❌ 32.97050 32.95360
cvc5 cvc5-fixed_default unknown ❌ 1200.08000 1199.94000
Par4 Par4-wrapped-sq_default sat ✅ 0.01922 0.00812
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.03000 1203.78000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.05000 4627.18000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.03797 0.03801
Z3 z3-4.8.11_default sat ✅ 0.01847 0.01856
z3-4.8.8_default sat ✅ 0.03532 0.03532
SMT-COMP 2022 0.11 (8/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 0.06284 0.06332
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.07000 1199.82000
NRA-LS NRA-LS-FINAL_default sat ✅ 0.13448 0.13452
Par4 Par4-wrapped-sq_default sat ✅ 0.02145 0.00873
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.03733 0.03731
veriT veriT+raSAT+Redlog_default sat ✅ 0.02668 0.02678
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.02001 0.01995
Z3 z3-4.8.17_default sat ✅ 0.01973 0.02154
Z3++ z3++0715_default sat ✅ 0.28808 0.28813