Benchmark

non-incremental/QF_NRA/20200911-Pine/1599122162683190000.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:
   -1.0*u + 0.21*v + 1.0*u^2 + -0.13*u*v + 0.07*v^2 <= 1.39
 and
   u in [-0.6,1.8]
   v in [-6.0,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1862
Compressed Size911
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 1854
Compressed Size914
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 let7
/16 +10 -10 *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 ✅ 0.73976 0.74007
cvc5 cvc5-fixed_default sat ✅ 301.24000 300.51100
Par4 Par4-wrapped-sq_default sat ✅ 0.02239 0.00643
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.04000 1203.16000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.13000 4654.16000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.04052 0.04050
Z3 z3-4.8.11_default sat ✅ 0.02164 0.02173
z3-4.8.8_default sat ✅ 0.03681 0.03684
SMT-COMP 2022 0.11 (8/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 0.07111 0.07169
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.04000 1199.87000
NRA-LS NRA-LS-FINAL_default sat ✅ 0.05425 0.05434
Par4 Par4-wrapped-sq_default sat ✅ 0.02200 0.00813
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.01294 0.01294
veriT veriT+raSAT+Redlog_default sat ✅ 0.03759 0.03769
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.06785 0.06778
Z3 z3-4.8.17_default sat ✅ 0.02177 0.02363
Z3++ z3++0715_default sat ✅ 0.29613 0.29620
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 sat ✅ 0.23906 0.13990
SMTInterpol SMTInterpol unknown ❌ 0.43307 0.44343
SMT-RAT SMT-RAT sat ✅ 0.24216 0.14233
Yices2 Yices2 sat ✅ 0.25697 0.15710
Z3alpha Z3-alpha sat ✅ 0.26648 0.16681