Benchmark

non-incremental/QF_NRA/20200911-Pine/1599122163378198000.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 + 0.21*v + 0.93*u^2 + -0.11*u*v + 0.06*v^2 <= 1.25
 and
   u in [-0.6,1.9]
   v in [-6.3,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1945
Compressed Size940
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 1937
Compressed Size939
Max. Term Depth18
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and6 =2 let9
/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 ❌ 59.34380 59.33600
cvc5 cvc5-fixed_default unknown ❌ 1200.11000 1199.89000
Par4 Par4-wrapped-sq_default sat ✅ 0.01807 0.00714
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.04000 1203.74000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.03000 4642.39000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.04001 0.04001
Z3 z3-4.8.11_default sat ✅ 0.01953 0.01963
z3-4.8.8_default sat ✅ 0.03550 0.03551
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.02996 0.03046
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.05647 0.05655
Par4 Par4-wrapped-sq_default sat ✅ 0.01938 0.00706
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.01921 0.01919
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.01774 0.01769
Z3alpha z3alpha_default sat ✅ 0.02257 0.02281
Z3++ z3++0715_default sat ✅ 0.28507 0.28517
Z3++_sq_0526_default sat ✅ 0.29334 0.29338