Benchmark

non-incremental/QF_NRA/20200911-Pine/1599121978503423000.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:
   -0.03*u + 0.03*v + 1.0*u^2 + 0.04*u*v + 0.12*v^2 <= 1.31
 and
   u in [-1.1,1.1]
   v in [-3.5,3.2]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1952
Compressed Size936
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 1944
Compressed Size935
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 let9
/22 +10 -8 *20
<=4 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 0.60 (4/10) CVC4 CVC4-sq-final_default sat ✅ 32.97760 32.88500
cvc5 cvc5-fixed_default unknown ❌ 1200.07000 1199.77000
Par4 Par4-wrapped-sq_default sat ✅ 0.05669 0.00623
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.03000 1203.72000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.09000 4633.52000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.05789 0.05789
Z3 z3-4.8.11_default sat ✅ 0.03112 0.03123
z3-4.8.8_default sat ✅ 0.04728 0.04730
SMT-COMP 2022 0.11 (8/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 0.14085 0.14139
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.05000 1199.93000
NRA-LS NRA-LS-FINAL_default sat ✅ 0.05195 0.05202
Par4 Par4-wrapped-sq_default sat ✅ 0.06416 0.00679
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.04671 0.04666
veriT veriT+raSAT+Redlog_default sat ✅ 0.02946 0.02954
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.05486 0.05481
Z3 z3-4.8.17_default sat ✅ 0.03260 0.03464
Z3++ z3++0715_default sat ✅ 0.28649 0.28662
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 sat ✅ 0.28386 0.18413
SMTInterpol SMTInterpol unknown ❌ 0.43818 0.47272
SMT-RAT SMT-RAT sat ✅ 0.27498 0.17529
Yices2 Yices2 sat ✅ 0.24274 0.14294
Z3alpha Z3-alpha sat ✅ 0.29502 0.19587