Benchmark

non-incremental/QF_NRA/20200911-Pine/1599121866548508000.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:
   x1' := x1 + 0.01 * x2 + rndx10
   x2' := -0.01 * x1 + 0.99 * x2 + rndx20

 Input ranges:
   x1 in [0.0,1.0]
   x2 in [0.0,1.0]
   rndx10 in [-6.1e-08,6.1e-08]
   rndx20 in [-1.3e-07,1.3e-07]

 Invariant:
   -1.0*x1 + -0.56*x2 + 0.91*x1^2 + 0.49*x1*x2 + 0.94*x2^2 <= 0.88
 and
   x1 in [-0.6,1.7]
   x2 in [-1.0,1.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size2401
Compressed Size1031
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 unsat
Size 2393
Compressed Size1035
Max. Term Depth16
Asserts 12
Declared Functions0
Declared Constants6
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and1 =2 let14
/21 +4 -11 *19
<=6 >=8

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 0.70 (3/10) CVC4 CVC4-sq-final_default unknown ❌ 910.75800 1210.64000
cvc5 cvc5-fixed_default unknown ❌ 1200.04000 299.97200
Par4 Par4-wrapped-sq_default unsat ✅ 1150.60000 2301.04000
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.02000 1203.60000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 754.72100 2879.47000
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.31755 0.31756
Z3 z3-4.8.11_default unsat ✅ 1150.14000 1150.13000
z3-4.8.8_default unsat ✅ 1148.33000 1148.16000