Benchmark

non-incremental/QF_NRA/20200911-Pine/1599122160430013000.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:
   -0.8*u + 0.08*v + 1.0*u^2 + -0.14*u*v + 0.08*v^2 <= 0.98
 and
   u in [-0.4,1.5]
   v in [-3.9,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1926
Compressed Size932
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 1918
Compressed Size952
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
/20 +10 -10 *20
<=4 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 0.60 (4/10) CVC4 CVC4-sq-final_default unknown ❌ 98.75360 98.75060
cvc5 cvc5-fixed_default sat ✅ 443.88700 443.79600
Par4 Par4-wrapped-sq_default sat ✅ 0.01863 0.00678
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.05000 1203.67000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.12000 4643.62000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.03902 0.03906
Z3 z3-4.8.11_default sat ✅ 0.01936 0.01944
z3-4.8.8_default sat ✅ 0.03592 0.03595
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 sat ✅ 0.22428 0.12456
SMTInterpol SMTInterpol unknown ❌ 0.42931 0.45748
SMT-RAT SMT-RAT sat ✅ 0.22530 0.12567
Yices2 Yices2 sat ✅ 0.22283 0.12323
Z3alpha Z3-alpha sat ✅ 0.26520 0.16557