Benchmark

non-incremental/QF_NRA/20200911-Pine/1599121978149819000.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:
   0.02*u + 0.03*v + 1.0*u^2 + 0.04*u*v + 0.1*v^2 <= 1.08
 and
   u in [-1.1,1.0]
   v in [-3.5,3.1]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1924
Compressed Size926
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 1916
Compressed Size939
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 -6 *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 ✅ 1.64473 1.64491
cvc5 cvc5-fixed_default sat ✅ 1.37752 1.37812
Par4 Par4-wrapped-sq_default sat ✅ 0.02096 0.00624
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.09000 1203.80000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.04000 4668.21000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.11542 0.11543
Z3 z3-4.8.11_default sat ✅ 0.03413 0.02326
z3-4.8.8_default sat ✅ 0.03849 0.03850
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 sat ✅ 0.22715 0.12745
SMTInterpol SMTInterpol unknown ❌ 0.41062 0.42944
SMT-RAT SMT-RAT sat ✅ 0.27139 0.17149
Yices2 Yices2 sat ✅ 0.25292 0.15300
Z3alpha Z3-alpha sat ✅ 0.27090 0.17151