Benchmark

non-incremental/FP/20200911-Pine/1599121979885688000.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:
   -0.07*u + 1.0*u^2 + 0.03*u*v + 0.1*v^2 <= 1.65
 and
   u in [-1.3,1.4]
   v in [-4.1,3.7]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size3778
Compressed Size1173
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 3770
Compressed Size1189
Max. Term Depth29
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and6 let25 fp22
fp.add8 fp.sub1 fp.mul18 fp.neg1
fp.leq10 fp.eq2 roundNearestTiesToEven27

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 1.00 (0/3) CVC4 CVC4-sq-final_default unknown ❌ 1200.04000 1199.91000
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 7.15510 4.31274
Z3 z3-4.8.11_default unknown ❌ 1200.01000 1199.82000
z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 641.13700 641.06100
SMT-COMP 2022 0.50 (2/4) Bitwuzla Bitwuzla-wrapped_default sat ✅ 135.70300 135.64900
cvc5 cvc5_default unknown ❌ 1200.02000 1198.32000
cvc5-default-2022-07-02-b15e116-wrapped_sq unknown ❌ 1200.02000 1197.89000
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 6.84507 4.34019
Z3 z3-4.8.17_default sat ✅ 55.48160 55.47760
SMT-COMP 2023 0.67 (1/3) Bitwuzla Bitwuzla-fixed_default sat ✅ 58.82760 58.80930
cvc5 cvc5-default-2023-05-16-ea045f305_sq unknown ❌ 1200.02000 1196.65000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 6.79185 4.26570
SMT-COMP 2025 0.67 (1/3) Bitwuzla Bitwuzla sat ✅ 137.55385 137.40219
cvc5 cvc5 unknown ❌ 1201.77694 1200.99138
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1201.75314 1205.25760