Benchmark

non-incremental/FP/20200911-Pine/1599121905167785000.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:
   -0.19*u + -0.01*v + 1.0*u^2 + 0.04*u*v + 0.11*v^2 <= 1.3
 and
   u in [-1.1,1.3]
   v in [-3.5,3.5]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size4551
Compressed Size1286
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 4543
Compressed Size1312
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 ❌ 1200.04000 1199.83000
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 7.13771 4.29559
Z3 z3-4.8.11_default unknown ❌ 1200.03000 1199.77000
z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 1200.02000 1199.80000
SMT-COMP 2022 0.50 (2/4) Bitwuzla Bitwuzla-wrapped_default sat ✅ 459.16900 459.11200
cvc5 cvc5_default unknown ❌ 1200.02000 1196.74000
cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 1011.94000 1007.82000
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 6.80883 4.35554
Z3 z3-4.8.17_default unknown ❌ 1200.07000 1199.77000
SMT-COMP 2023 0.67 (1/3) Bitwuzla Bitwuzla-fixed_default sat ✅ 269.35100 269.29100
cvc5 cvc5-default-2023-05-16-ea045f305_sq unknown ❌ 1200.03000 1193.88000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 6.86910 5.05147
SMT-COMP 2025 0.33 (2/3) Bitwuzla Bitwuzla sat ✅ 698.69688 698.39933
cvc5 cvc5 sat ✅ 760.22926 760.02205
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1201.79245 1205.70383