Benchmark

non-incremental/FP/20200911-Pine/1599121861782445000.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:
   x1' := x1 + 0.01 * x2
   x2' := -0.01 * x1 + 0.99 * x2

 Input ranges:
   x1 in [0.0,1.0]
   x2 in [0.0,1.0]

 Invariant:
   -1.0*x1 + -0.32*x2 + 0.86*x1^2 + 0.19*x1*x2 + 0.66*x2^2 <= 0.45
 and
   x1 in [-0.4,1.4]
   x2 in [-0.9,1.0]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size3961
Compressed Size1189
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 3953
Compressed Size1214
Max. Term Depth30
Asserts 1
Declared Functions0
Declared Constants4
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and6 let26 fp23
fp.add10 fp.mul19 fp.neg1 fp.leq10
fp.eq2 roundNearestTiesToEven29

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2021 0.67 (1/3) CVC4 CVC4-sq-final_default sat ✅ 634.85100 634.77000
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 7.12644 4.27239
Z3 z3-4.8.11_default unknown ❌ 1200.10000 1200.00000
z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 147.03100 146.97500
SMT-COMP 2022 0.25 (3/4) Bitwuzla Bitwuzla-wrapped_default sat ✅ 84.17760 84.17650
cvc5 cvc5_default sat ✅ 271.20800 271.12600
cvc5-default-2022-07-02-b15e116-wrapped_sq sat ✅ 188.39400 188.38100
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 6.78412 4.26864
Z3 z3-4.8.17_default sat ✅ 224.50500 224.46400
SMT-COMP 2025 0.33 (2/3) Bitwuzla Bitwuzla sat ✅ 34.78886 34.64603
cvc5 cvc5 sat ✅ 786.80097 786.60178
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1201.76587 1205.51195