Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Basic_Denominator_Simplifications/BDC_ProveIneq_ISSAC10_ex4c.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: CAD calls of SUMCracker-ProveInequality to prove Example 4 in
M. Kauers and V. Pillwein, When can we detect that a P-finite sequence is positive?
ISSAC '10: Proceedings of the 2010 International Symposium on Symbolic and Algebraic ComputationJuly 2010 Pages 195–201
(https://doi.org/10.1145/1837934.1837974)
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 | 1499 |
| Compressed Size | 831 |
| 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 | 2022-01-06 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 | 1468 |
| Compressed Size | 828 |
| Max. Term Depth | 10 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 3 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
not | 2 |
and | 1 |
= | 2 |
+ | 15 |
- | 3 |
* | 25 |
< | 1 |
<= | 7 |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.23404
|
0.13462
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41475
|
0.42967
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.21819
|
0.11831
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.21800
|
0.11788
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.29276
|
0.19329
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.27337
|
0.15512
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.45511
|
0.44156
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.29773
|
0.16594
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.28860
|
0.16201
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.60506
|
0.48808
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.29488
|
0.17045
|
| |
|
z3siri-base |
sat ✅
|
0.25797
|
0.14323
|