Benchmark

non-incremental/QF_NRA/20200911-Pine/1599121903974444000.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 - (u*u*u)/6.0 + (u*u*u*u*u)/120.0))

 Input ranges:
   u in [0.0,0.0]
   v in [2.0,3.0]

 Invariant:
   -0.16*u + -0.02*v + 1.0*u^2 + 0.04*u*v + 0.1*v^2 <= 1.18
 and
   u in [-1.1,1.2]
   v in [-3.3,3.4]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size2052
Compressed Size986
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 2044
Compressed Size994
Max. Term Depth17
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
/24 +11 -11 *26
<=4 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 0.70 (3/10) CVC4 CVC4-sq-final_default unknown ❌ 1200.02000 1200.02000
cvc5 cvc5-fixed_default unknown ❌ 1200.05000 1200.01000
Par4 Par4-wrapped-sq_default sat ✅ 0.04021 0.00800
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.08000 1203.71000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.08000 4647.43000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.19923 0.19926
Z3 z3-4.8.11_default sat ✅ 0.04056 0.04063
z3-4.8.8_default sat ✅ 0.05556 0.05557
SMT-COMP 2022 0.33 (6/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 0.70788 0.70839
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.06000 1199.90000
NRA-LS NRA-LS-FINAL_default unknown ❌ 1170.06000 1169.77000
Par4 Par4-wrapped-sq_default sat ✅ 0.04791 0.00697
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.77342 0.77322
veriT veriT+raSAT+Redlog_default unknown ❌ 0.01510 0.00816
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.09819 0.09815
Z3 z3-4.8.17_default sat ✅ 0.04091 0.04283
Z3++ z3++0715_default sat ✅ 0.32886 0.32893
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.51874 0.51920
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 717.51300 717.43600
Par4 Par4-wrapped-sq_default sat ✅ 0.04436 0.00632
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.48143 0.48145
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 5.00422 5.00380
Z3alpha z3alpha_default sat ✅ 0.04590 0.04610
Z3++ z3++0715_default sat ✅ 0.36104 0.36114
Z3++_sq_0526_default sat ✅ 0.36458 0.36460