Benchmark

non-incremental/QF_NRA/20200911-Pine/1599121684285860000.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:
   x' := x + 0.01 * (-2*x - 3*y + x*x)
   y' := y + 0.01 * (x + y)

 Input ranges:
   x in [0.0,0.1]
   y in [0.0,0.1]

 Invariant:
   -0.02*x + -0.13*y + 0.54*x^2 + 0.85*x*y + 1.0*y^2 <= 0.02
 and
   x in [-0.3,0.1]
   y in [-0.1,0.3]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1931
Compressed Size928
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 1923
Compressed Size936
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
/20 +12 -10 *21
<=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 1199.87000
cvc5 cvc5-fixed_default unknown ❌ 1200.04000 1199.98000
Par4 Par4-wrapped-sq_default sat ✅ 0.01995 0.00778
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.02000 1203.72000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.10000 4669.36000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.05453 0.05456
Z3 z3-4.8.11_default sat ✅ 0.01985 0.01992
z3-4.8.8_default sat ✅ 0.03493 0.03496
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 sat ✅ 0.22479 0.12498
SMTInterpol SMTInterpol unknown ❌ 0.43571 0.46826
SMT-RAT SMT-RAT sat ✅ 0.25087 0.15132
Yices2 Yices2 sat ✅ 0.23457 0.13488
Z3alpha Z3-alpha sat ✅ 0.29007 0.19046