Benchmark

non-incremental/QF_NRA/20200911-Pine/1599121979452833000.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:
   -0.07*u + 1.0*u^2 + 0.04*u*v + 0.1*v^2 <= 1.57
 and
   u in [-1.2,1.3]
   v in [-4.0,3.7]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1835
Compressed Size900
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 1827
Compressed Size909
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
/18 +8 -8 *18
<=4 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 0.50 (5/10) CVC4 CVC4-sq-final_default sat ✅ 0.06091 0.06128
cvc5 cvc5-fixed_default sat ✅ 0.08829 0.08879
Par4 Par4-wrapped-sq_default sat ✅ 0.02073 0.00712
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.10000 1203.68000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.03000 4737.49000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.07969 0.07970
Z3 z3-4.8.11_default sat ✅ 0.03286 0.03296
z3-4.8.8_default sat ✅ 0.03806 0.03807
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.03653 0.03706
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.09583 0.09585
Par4 Par4-wrapped-sq_default sat ✅ 0.05602 0.00641
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.12209 0.12061
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.03481 0.03474
Z3alpha z3alpha_default sat ✅ 0.03627 0.03645
Z3++ z3++0715_default sat ✅ 0.29309 0.29316
Z3++_sq_0526_default sat ✅ 0.29364 0.29369