Benchmark

non-incremental/QF_NRA/20200911-Pine/1599122166687483000.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 + 0.25*v + 0.83*u^2 + -0.11*u*v + 0.06*v^2 <= 1.36
 and
   u in [-0.7,2.1]
   v in [-7.2,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1897
Compressed Size924
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 1889
Compressed Size934
Max. Term Depth16
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 +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 ❌ 36.09690 36.09720
cvc5 cvc5-fixed_default unknown ❌ 1200.04000 1199.88000
Par4 Par4-wrapped-sq_default sat ✅ 0.01844 0.00749
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.08000 1203.63000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.08000 4644.75000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.03938 0.03939
Z3 z3-4.8.11_default sat ✅ 0.02002 0.02013
z3-4.8.8_default sat ✅ 0.03531 0.03533
SMT-COMP 2022 0.11 (8/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 0.06141 0.06196
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.10000 1200.01000
NRA-LS NRA-LS-FINAL_default sat ✅ 0.15084 0.15092
Par4 Par4-wrapped-sq_default sat ✅ 0.02910 0.00901
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.03553 0.03549
veriT veriT+raSAT+Redlog_default sat ✅ 0.02795 0.02805
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.01993 0.01988
Z3 z3-4.8.17_default sat ✅ 0.01881 0.02064
Z3++ z3++0715_default sat ✅ 0.28837 0.28846
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.03000 0.03039
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.05589 0.05596
Par4 Par4-wrapped-sq_default sat ✅ 0.01925 0.00630
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.01973 0.01967
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.01789 0.01782
Z3alpha z3alpha_default sat ✅ 0.02757 0.02774
Z3++ z3++0715_default sat ✅ 0.29284 0.29270
Z3++_sq_0526_default sat ✅ 0.29605 0.29607