Benchmark

non-incremental/QF_NRA/20200911-Pine/1599121979877230000.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 + 0.03*u*v + 0.1*v^2 <= 1.65
 and
   u in [-1.3,1.4]
   v in [-4.1,3.7]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1855
Compressed Size908
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 1847
Compressed Size917
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
/20 +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 ✅ 0.23196 0.23231
cvc5 cvc5-fixed_default sat ✅ 0.16766 0.16789
Par4 Par4-wrapped-sq_default sat ✅ 0.02012 0.00625
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.03000 1203.60000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.05000 4651.33000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.12747 0.12605
Z3 z3-4.8.11_default sat ✅ 0.02180 0.02189
z3-4.8.8_default sat ✅ 0.03736 0.03740
SMT-COMP 2022 0.11 (8/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 0.11065 0.11110
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.03000 1199.89000
NRA-LS NRA-LS-FINAL_default sat ✅ 0.18884 0.18886
Par4 Par4-wrapped-sq_default sat ✅ 0.07392 0.00931
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.08751 0.08747
veriT veriT+raSAT+Redlog_default sat ✅ 0.29818 0.30058
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.04242 0.04226
Z3 z3-4.8.17_default sat ✅ 0.03526 0.03717
Z3++ z3++0715_default sat ✅ 0.29007 0.29012
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.06616 0.06659
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.26472 0.25237
Par4 Par4-wrapped-sq_default sat ✅ 0.05464 0.00631
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.06236 0.06230
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.03634 0.03629
Z3alpha z3alpha_default sat ✅ 0.04279 0.04298
Z3++ z3++0715_default sat ✅ 0.28923 0.28929
Z3++_sq_0526_default sat ✅ 0.29971 0.29977