Benchmark

non-incremental/QF_NRA/20200911-Pine/1599121977778711000.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:
   0.02*v + 1.0*u^2 + 0.03*u*v + 0.09*v^2 <= 0.94
 and
   u in [-1.0,1.0]
   v in [-3.3,3.1]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1811
Compressed Size897
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 1803
Compressed Size903
Max. Term Depth14
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
/16 +8 -6 *18
<=4 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 0.70 (3/10) CVC4 CVC4-sq-final_default unknown ❌ 33.73280 33.71870
cvc5 cvc5-fixed_default unknown ❌ 1200.03000 300.01900
Par4 Par4-wrapped-sq_default sat ✅ 0.02236 0.00639
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.06000 1203.81000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.10000 4629.77000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.09105 0.09108
Z3 z3-4.8.11_default sat ✅ 0.02555 0.02552
z3-4.8.8_default sat ✅ 0.03951 0.03952
SMT-COMP 2022 0.11 (8/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 0.06641 0.06682
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.02000 1199.84000
NRA-LS NRA-LS-FINAL_default sat ✅ 0.05895 0.05902
Par4 Par4-wrapped-sq_default sat ✅ 0.05719 0.00699
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.04359 0.04354
veriT veriT+raSAT+Redlog_default sat ✅ 0.05053 0.05060
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.04764 0.04761
Z3 z3-4.8.17_default sat ✅ 0.02635 0.02826
Z3++ z3++0715_default sat ✅ 0.28800 0.28806