Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Basic_Denominator_Simplifications/BDC_ProveIneq_JSC_SUMCracker_14b.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: CAD calls of In[14] on page 12 in
M. Kauers, SumCracker: A Package for Manipulating Symbolic Sums and Related Objects,
Journal of Symbolic Computation 41(9), 2006, pp. 1039-1057.
(https://www.sciencedirect.com/science/article/pii/S0747717106000502)
All denominators in the original CAD call got cleared in a simple way:
a/b == c/d --> a d==b c && b<>0 && d<>0
a/b > c/d --> a d^2 > b^2 c && b<>0 && d<>0
| Benchmark |
|---|
| Size | 1891 |
| Compressed Size | 890 |
| License |
Creative Commons Attribution 4.0 International
(CC-BY-4.0)
|
| Category | industrial |
| First Occurrence | 2022-08-10 |
| Generated By | Ali K. Uncu, Matthew England, and James H. Davenport |
| Generated On | 2022-02-03 00:00:00 |
| Generator | SUMCracker-ProveInequality function by Manuel Kauers ("https://www3.risc.jku.at/research/combinat/software/ergosum/RISC/SumCracker.html") |
| Dolmen OK | 1 |
| strict Dolmen OK | 1 |
| check-sat calls | 1 |
| Status | sat |
| Inferred Status | sat |
| Size | 1878 |
| Compressed Size | 884 |
| Max. Term Depth | 7 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 5 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
not | 5 |
and | 1 |
= | 5 |
+ | 21 |
- | 18 |
* | 60 |
< | 1 |
<= | 2 |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.29509
|
0.17389
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.47281
|
0.50202
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.34266
|
0.22403
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.25391
|
0.13659
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.56604
|
0.47740
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.31608
|
0.19266
|
| |
|
z3siri-base |
sat ✅
|
0.30692
|
0.17900
|