Benchmark

non-incremental/QF_NRA/20200911-Pine/1599121909151965000.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 + rndu0
   v' := v + 0.01 * (-0.5 * v - 9.81 * (u - (u*u*u)/6.0 + (u*u*u*u*u)/120.0)) + rndv0

 Input ranges:
   u in [0.0,0.0]
   v in [2.0,3.0]
   rndu0 in [-6.4e-08,6.4e-08]
   rndv0 in [-1.8e-07,1.8e-07]

 Invariant:
   -0.14*u + 1.0*u^2 + 0.03*u*v + 0.12*v^2 <= 1.49
 and
   u in [-1.2,1.3]
   v in [-3.6,3.5]

 Query: Loop and Invariant and not Invariant'
Benchmark
Size2479
Compressed Size1094
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 unsat
Size 2471
Compressed Size1109
Max. Term Depth15
Asserts 12
Declared Functions0
Declared Constants6
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 and1 =2 let17
/25 +4 -10 *19
<=6 >=8

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2022 0.56 (4/9) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unknown ❌ 1200.11000 1199.56000
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.03000 1199.93000
NRA-LS NRA-LS-FINAL_default unknown ❌ 1170.59000 1170.07000
Par4 Par4-wrapped-sq_default unsat ✅ 0.27876 0.01001
SMT-RAT SMT-RAT-MCSAT_default unsat ✅ 285.95900 285.94600
veriT veriT+raSAT+Redlog_default unsat ✅ 571.11400 570.94700
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unsat ✅ 0.27716 0.27665
Z3 z3-4.8.17_default unknown ❌ 1200.04000 1200.01000
Z3++ z3++0715_default unknown ❌ 1200.03000 1199.66000
SMT-COMP 2024 0.80 (1/5) cvc5 cvc5 unsat ✅ 902.78370 902.67235
SMTInterpol SMTInterpol unknown ❌ 0.47361 0.50547
SMT-RAT SMT-RAT unknown ❌ 1201.71417 1200.27599
Yices2 Yices2 unknown ❌ 1201.23419 1201.10988
Z3alpha Z3-alpha unknown ❌ 1201.72132 1200.97626