Benchmark

non-incremental/QF_NRA/20200911-Pine/1599121978324635000.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:
   0.04*v + 1.0*u^2 + 0.04*u*v + 0.11*v^2 <= 1.19
 and
   u in [-1.1,1.1]
   v in [-3.5,3.1]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1847
Compressed Size888
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 1839
Compressed Size907
Max. Term Depth14
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and6 =2 let7
/20 +8 -6 *18
<=4 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 0.60 (4/10) CVC4 CVC4-sq-final_default sat ✅ 17.38750 17.38790
cvc5 cvc5-fixed_default unknown ❌ 1200.08000 1199.02000
Par4 Par4-wrapped-sq_default sat ✅ 0.02048 0.00642
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.02000 1203.48000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.02000 4744.66000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.08605 0.08611
Z3 z3-4.8.11_default sat ✅ 0.01937 0.01946
z3-4.8.8_default sat ✅ 0.03580 0.03583
SMT-COMP 2022 0.11 (8/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 0.06753 0.06804
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.02000 1199.97000
NRA-LS NRA-LS-FINAL_default sat ✅ 0.11927 0.09961
Par4 Par4-wrapped-sq_default sat ✅ 0.03118 0.00698
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.10200 0.10195
veriT veriT+raSAT+Redlog_default sat ✅ 0.32822 0.33162
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.04473 0.04470
Z3 z3-4.8.17_default sat ✅ 0.01960 0.02149
Z3++ z3++0715_default sat ✅ 0.28283 0.28289
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.02925 0.02984
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.13444 0.13453
Par4 Par4-wrapped-sq_default sat ✅ 0.01752 0.00642
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.02670 0.02669
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.03942 0.03935
Z3alpha z3alpha_default sat ✅ 0.02413 0.02439
Z3++ z3++0715_default sat ✅ 0.28490 0.28496
Z3++_sq_0526_default sat ✅ 0.29613 0.29616
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 sat ✅ 0.25456 0.15527
SMTInterpol SMTInterpol unknown ❌ 0.43292 0.46325
SMT-RAT SMT-RAT sat ✅ 0.22717 0.12764
Yices2 Yices2 sat ✅ 0.23085 0.13105
Z3alpha Z3-alpha sat ✅ 0.27191 0.17206