Benchmark

non-incremental/QF_NRA/20200911-Pine/1599122159103427000.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:
   -0.58*u + 0.02*v + 1.0*u^2 + -0.14*u*v + 0.05*v^2 <= 0.55
 and
   u in [-0.3,1.2]
   v in [-3.1,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1927
Compressed Size934
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 1919
Compressed Size947
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
/20 +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 ✅ 0.05728 0.05755
cvc5 cvc5-fixed_default sat ✅ 37.94960 37.94770
Par4 Par4-wrapped-sq_default sat ✅ 0.01717 0.00650
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.04000 1203.76000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.08000 4662.72000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.03843 0.03847
Z3 z3-4.8.11_default sat ✅ 0.01895 0.01907
z3-4.8.8_default sat ✅ 0.03450 0.03450
SMT-COMP 2022 cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 0.08334 0.08396
MathSAT MathSAT-5.6.8_default sat ✅ 0.16337 0.16334
NRA-LS NRA-LS-FINAL_default sat ✅ 0.09028 0.09031
Par4 Par4-wrapped-sq_default sat ✅ 0.04506 0.00778
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.03565 0.03562
veriT veriT+raSAT+Redlog_default sat ✅ 0.02677 0.02685
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.01828 0.01826
Z3 z3-4.8.17_default sat ✅ 0.01994 0.02189
Z3++ z3++0715_default sat ✅ 0.28479 0.28483