Benchmark

non-incremental/FP/20200911-Pine/1599122166293091000.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 + 0.22*v + 0.8*u^2 + -0.09*u*v + 0.06*v^2 <= 1.31
 and
   u in [-0.7,2.1]
   v in [-6.8,3.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size4051
Compressed Size1241
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 4043
Compressed Size1238
Max. Term Depth31
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and6 let27 fp24
fp.add10 fp.sub1 fp.mul20 fp.neg1
fp.leq10 fp.eq2 roundNearestTiesToEven31

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 0.33 (2/3) CVC4 CVC4-sq-final_default sat ✅ 163.48700 163.46800
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 7.11684 4.23930
Z3 z3-4.8.11_default sat ✅ 524.66200 524.20700
z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 482.13700 482.08700
SMT-COMP 2022 0.25 (3/4) Bitwuzla Bitwuzla-wrapped_default sat ✅ 13.41450 13.41340
cvc5 cvc5_default sat ✅ 167.96400 167.96700
cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 85.57670 85.57220
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 6.79723 4.24754
Z3 z3-4.8.17_default sat ✅ 275.72900 275.71900
SMT-COMP 2023 0.33 (2/3) Bitwuzla Bitwuzla-fixed_default sat ✅ 27.44100 27.43680
cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 93.92860 93.92250
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 6.81656 4.27585
SMT-COMP 2025 0.33 (2/3) Bitwuzla Bitwuzla sat ✅ 40.96833 40.83885
cvc5 cvc5 sat ✅ 72.06577 71.93958
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1201.79513 1205.81398