Benchmark

non-incremental/QF_NRA/20200911-Pine/1599121861590419000.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
   x2' := -0.01 * x1 + 0.99 * x2

 Input ranges:
   x1 in [0.0,1.0]
   x2 in [0.0,1.0]

 Invariant:
   -1.0*x1 + -0.31*x2 + 0.85*x1^2 + 0.15*x1*x2 + 0.71*x2^2 <= 0.44
 and
   x1 in [-0.4,1.4]
   x2 in [-0.9,1.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1937
Compressed Size910
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 1929
Compressed Size923
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
/19 +10 -9 *19
<=4 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 0.70 (3/10) CVC4 CVC4-sq-final_default unknown ❌ 32.77870 31.93850
cvc5 cvc5-fixed_default unknown ❌ 1200.09000 1199.99000
Par4 Par4-wrapped-sq_default sat ✅ 0.01881 0.00625
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.05000 1203.77000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.02000 4627.15000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.05770 0.05771
Z3 z3-4.8.11_default sat ✅ 0.02061 0.02069
z3-4.8.8_default sat ✅ 0.03617 0.03621
SMT-COMP 2022 0.11 (8/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 0.05299 0.05354
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.09000 1199.96000
NRA-LS NRA-LS-FINAL_default sat ✅ 0.04690 0.04697
Par4 Par4-wrapped-sq_default sat ✅ 0.01970 0.00646
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.10939 0.10935
veriT veriT+raSAT+Redlog_default sat ✅ 0.22073 0.22266
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.02859 0.02855
Z3 z3-4.8.17_default sat ✅ 0.02159 0.02353
Z3++ z3++0715_default sat ✅ 0.28700 0.28706
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.02707 0.02742
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.05613 0.05618
Par4 Par4-wrapped-sq_default sat ✅ 0.02425 0.00916
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.06931 0.06916
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.03973 0.03970
Z3alpha z3alpha_default sat ✅ 0.02427 0.02448
Z3++ z3++0715_default sat ✅ 0.28806 0.28814
Z3++_sq_0526_default sat ✅ 0.29303 0.29312