Benchmark

non-incremental/QF_NRA/20200911-Pine/1599121977494004000.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 + 0.02*v + 1.0*u^2 + 0.09*v^2 <= 0.89
 and
   u in [-1.0,1.0]
   v in [-3.3,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1808
Compressed Size898
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 1800
Compressed Size904
Max. Term Depth15
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
/14 +8 -8 *16
<=4 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 0.60 (4/10) CVC4 CVC4-sq-final_default unknown ❌ 31.24480 31.03950
cvc5 cvc5-fixed_default sat ✅ 1.77359 1.76857
Par4 Par4-wrapped-sq_default sat ✅ 0.05859 0.00636
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.10000 1203.68000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.03000 4626.43000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.04359 0.04364
Z3 z3-4.8.11_default sat ✅ 0.02857 0.02867
z3-4.8.8_default sat ✅ 0.04406 0.04404
SMT-COMP 2022 0.11 (8/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 0.04220 0.04273
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.07000 1199.90000
NRA-LS NRA-LS-FINAL_default sat ✅ 0.05767 0.05770
Par4 Par4-wrapped-sq_default sat ✅ 0.03784 0.00792
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.01633 0.01627
veriT veriT+raSAT+Redlog_default sat ✅ 0.04259 0.04228
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.01980 0.01977
Z3 z3-4.8.17_default sat ✅ 0.02086 0.02277
Z3++ z3++0715_default sat ✅ 0.28301 0.28309
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.02522 0.02559
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.08263 0.08267
Par4 Par4-wrapped-sq_default sat ✅ 0.01870 0.00647
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.02269 0.02268
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.01682 0.01676
Z3alpha z3alpha_default sat ✅ 0.02330 0.02352
Z3++ z3++0715_default sat ✅ 0.28530 0.28535
Z3++_sq_0526_default sat ✅ 0.28359 0.28367
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 sat ✅ 0.25067 0.15068
SMTInterpol SMTInterpol unknown ❌ 0.40919 0.42512
SMT-RAT SMT-RAT sat ✅ 0.23105 0.13109
Yices2 Yices2 sat ✅ 0.25209 0.15143
Z3alpha Z3-alpha sat ✅ 0.27207 0.17241