Benchmark

non-incremental/QF_NRA/20200911-Pine/1599121902194451000.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 - (u*u*u)/6.0 + (u*u*u*u*u)/120.0))

 Input ranges:
   u in [0.0,0.0]
   v in [2.0,3.0]

 Invariant:
   -0.15*u + -0.03*v + 1.0*u^2 + 0.04*u*v + 0.11*v^2 <= 1.09
 and
   u in [-1.0,1.2]
   v in [-3.1,3.2]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size2022
Compressed Size970
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 2014
Compressed Size989
Max. Term Depth16
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
/22 +11 -11 *26
<=4 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 0.70 (3/10) CVC4 CVC4-sq-final_default unknown ❌ 1200.08000 1199.39000
cvc5 cvc5-fixed_default unknown ❌ 1200.05000 1199.98000
Par4 Par4-wrapped-sq_default sat ✅ 0.15758 0.00711
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.10000 1203.89000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.11000 4639.27000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.20894 0.20897
Z3 z3-4.8.11_default sat ✅ 0.16554 0.16560
z3-4.8.8_default sat ✅ 0.17772 0.17775
SMT-COMP 2022 0.33 (6/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 600.36200 600.12900
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.04000 1200.03000
NRA-LS NRA-LS-FINAL_default unknown ❌ 1170.05000 1170.02000
Par4 Par4-wrapped-sq_default sat ✅ 0.17159 0.00666
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.11358 0.11354
veriT veriT+raSAT+Redlog_default unknown ❌ 0.01081 0.00814
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.11718 0.11713
Z3 z3-4.8.17_default sat ✅ 0.16520 0.16713
Z3++ z3++0715_default sat ✅ 0.46686 0.46687
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 sat ✅ 900.28525 900.05320
SMTInterpol SMTInterpol unknown ❌ 0.43418 0.46715
SMT-RAT SMT-RAT sat ✅ 0.56250 0.46271
Yices2 Yices2 sat ✅ 0.31007 0.20921
Z3alpha Z3-alpha sat ✅ 1.94350 1.84223