Benchmark

non-incremental/FP/20200911-Pine/1599121899774132000.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:
   -0.18*u + -0.04*v + 1.0*u^2 + 0.03*u*v + 0.1*v^2 <= 0.79
 and
   u in [-0.8,1.0]
   v in [-2.7,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size4553
Compressed Size1290
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 4545
Compressed Size1320
Max. Term Depth35
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and6 let31 fp26
fp.add11 fp.sub2 fp.mul24 fp.div2
fp.neg1 fp.leq10 fp.eq2 roundNearestTiesToEven39

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 1.00 (0/3) CVC4 CVC4-sq-final_default unknown ❌ 1200.11000 1199.93000
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 7.10203 4.20062
Z3 z3-4.8.11_default unknown ❌ 1200.03000 1199.79000
z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 1200.11000 1199.99000
SMT-COMP 2022 0.50 (2/4) Bitwuzla Bitwuzla-wrapped_default sat ✅ 88.53430 88.52310
cvc5 cvc5_default sat ✅ 109.68000 109.59600
cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 37.84140 37.83920
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 6.82442 4.33226
Z3 z3-4.8.17_default unknown ❌ 1200.04000 1199.75000
SMT-COMP 2023 0.33 (2/3) Bitwuzla Bitwuzla-fixed_default sat ✅ 232.54100 232.52900
cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 257.57900 257.54900
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 6.79373 4.29128
SMT-COMP 2024 Bitwuzla Bitwuzla sat ✅ 55.76395 55.65356
cvc5 cvc5 sat ✅ 86.38649 86.24207