Benchmark

non-incremental/QF_NRA/20200911-Pine/1599122162816156000.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 + 0.22*v + 0.97*u^2 + -0.13*u*v + 0.07*v^2 <= 1.33
 and
   u in [-0.6,1.8]
   v in [-6.0,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1904
Compressed Size930
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 1896
Compressed Size930
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 let8
/18 +10 -10 *20
<=4 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 0.50 (5/10) CVC4 CVC4-sq-final_default sat ✅ 0.65393 0.65426
cvc5 cvc5-fixed_default sat ✅ 300.15200 300.09300
Par4 Par4-wrapped-sq_default sat ✅ 0.02296 0.00769
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.12000 1203.70000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.02000 4660.92000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.04148 0.04153
Z3 z3-4.8.11_default sat ✅ 0.02157 0.02169
z3-4.8.8_default sat ✅ 0.03709 0.03711
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.02980 0.03039
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.05843 0.05835
Par4 Par4-wrapped-sq_default sat ✅ 0.01733 0.00633
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.03358 0.03352
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.01601 0.01599
Z3alpha z3alpha_default sat ✅ 0.02460 0.02485
Z3++ z3++0715_default sat ✅ 0.28394 0.28404
Z3++_sq_0526_default sat ✅ 0.29744 0.29754