Benchmark

non-incremental/QF_NRA/20200911-Pine/1599121684761355000.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 + -0.08*y + 0.45*x^2 + 1.0*x*y + 0.81*y^2 <= 0.02
 and
   x in [-0.5,0.3]
   y in [-0.2,0.5]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1921
Compressed Size922
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 1913
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 let8
/20 +12 -10 *21
<=4 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 0.60 (4/10) CVC4 CVC4-sq-final_default unknown ❌ 1200.02000 1199.84000
cvc5 cvc5-fixed_default unknown ❌ 1200.07000 300.00900
Par4 Par4-wrapped-sq_default unsat ✅ 0.03182 0.00798
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.07000 1203.73000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.10646 0.10754
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.39537 0.39532
Z3 z3-4.8.11_default unsat ✅ 0.03333 0.03339
z3-4.8.8_default unsat ✅ 0.04879 0.04877
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 5.52233 5.51635
NRA-LS cvc5-NRA-LS-sq_default unsat ✅ 12.98390 12.97330
Par4 Par4-wrapped-sq_default unsat ✅ 0.02652 0.00649
SMT-RAT SMT-RAT-MCSAT_default unsat ✅ 0.52883 0.52882
Yices2 Yices 2 for SMTCOMP 2023_default unsat ✅ 0.21252 0.21230
Z3alpha z3alpha_default unsat ✅ 0.03409 0.03427
Z3++ z3++0715_default unsat ✅ 0.29107 0.29113
Z3++_sq_0526_default unsat ✅ 0.30305 0.30306