Benchmark

non-incremental/QF_NRA/20200911-Pine/1599122165681283000.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 + 0.25*v + 0.86*u^2 + -0.12*u*v + 0.07*v^2 <= 1.45
 and
   u in [-0.7,2.0]
   v in [-6.3,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size1879
Compressed Size935
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 1871
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
/18 +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 ✅ 60.61320 60.59340
cvc5 cvc5-fixed_default sat ✅ 17.50250 17.49170
Par4 Par4-wrapped-sq_default sat ✅ 0.01689 0.00606
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.03000 1203.55000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unknown ❌ 1200.09000 4631.03000
YicesQS yices-QS-2021-06-13under10_default sat ✅ 0.04361 0.04364
Z3 z3-4.8.11_default sat ✅ 0.01922 0.01933
z3-4.8.8_default sat ✅ 0.03758 0.03759
SMT-COMP 2022 cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 0.07148 0.07190
MathSAT MathSAT-5.6.8_default sat ✅ 4.77824 4.77116
NRA-LS NRA-LS-FINAL_default sat ✅ 0.05437 0.05441
Par4 Par4-wrapped-sq_default sat ✅ 0.02587 0.00881
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.01285 0.01286
veriT veriT+raSAT+Redlog_default sat ✅ 0.23760 0.23929
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.01833 0.01828
Z3 z3-4.8.17_default sat ✅ 0.02187 0.02374
Z3++ z3++0715_default sat ✅ 0.28459 0.28467
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.02861 0.02913
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.05331 0.05338
Par4 Par4-wrapped-sq_default sat ✅ 0.02034 0.00657
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.03356 0.03348
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.01570 0.01566
Z3alpha z3alpha_default sat ✅ 0.02444 0.02464
Z3++ z3++0715_default sat ✅ 0.28947 0.28953
Z3++_sq_0526_default sat ✅ 0.29185 0.29189