Benchmark

non-incremental/QF_NRA/20200911-Pine/1599122163683961000.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 + 0.2*v + 0.89*u^2 + -0.12*u*v + 0.06*v^2 <= 1.18
 and
   u in [-0.6,1.9]
   v in [-6.3,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1900
Compressed Size927
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 1892
Compressed Size934
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 let7
/20 +10 -10 *20
<=4 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 0.70 (3/10) CVC4 CVC4-sq-final_default unknown ❌ 88.34880 88.31320
cvc5 cvc5-fixed_default unknown ❌ 1200.04000 1199.38000
Par4 Par4-wrapped-sq_default sat ✅ 0.02826 0.01044
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.03000 1203.60000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.02000 4631.78000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.03888 0.03890
Z3 z3-4.8.11_default sat ✅ 0.02001 0.02011
z3-4.8.8_default sat ✅ 0.03477 0.03482
SMT-COMP 2022 0.11 (8/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 0.06202 0.06263
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.10000 1199.96000
NRA-LS NRA-LS-FINAL_default sat ✅ 0.12052 0.12058
Par4 Par4-wrapped-sq_default sat ✅ 0.05859 0.00809
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.03723 0.03724
veriT veriT+raSAT+Redlog_default sat ✅ 0.04617 0.04626
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.02035 0.02032
Z3 z3-4.8.17_default sat ✅ 0.01973 0.02162
Z3++ z3++0715_default sat ✅ 0.28689 0.28693
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 sat ✅ 0.22662 0.12694
SMTInterpol SMTInterpol unknown ❌ 0.44466 0.47560
SMT-RAT SMT-RAT sat ✅ 0.22365 0.12386
Yices2 Yices2 sat ✅ 0.26220 0.16264
Z3alpha Z3-alpha sat ✅ 0.26747 0.16769