Benchmark
non-incremental/QF_NRA/20220314-Uncu/Polynomial_Proof_Calls/ProveIneq_ISSAC05_SignPattern_Lemma1.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application:
CAD calls of the Main Algorithm to prove the sign pattern:
Sign Pattern Lemma 1
in Section 5 of
S. Gerhold and M. Kauers, A Procedure for Proving Special Function Inequalities Involving a Discrete Parameter.
ISSAC '05: Proceedings of the 2005 international symposium on Symbolic and algebraic computationJuly 2005 Pages 156-162.
(https://dl.acm.org/doi/10.1145/1073884.1073907)
| Benchmark |
|---|
| Size | 10193 |
| Compressed Size | 2013 |
| 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 | 2022-01-08 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 | unsat |
| Inferred Status | unsat |
| Size | 10107 |
| Compressed Size | 1979 |
| Max. Term Depth | 8 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 4 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
and | 1 |
= | 2 |
/ | 6 |
+ | 18 |
- | 137 |
* | 806 |
< | 16 |
<= | 1 |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
1.45915
|
1.45956
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unsat ✅
|
19.22110
|
19.22050
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.03297
|
0.00730
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
38.82300
|
38.82390
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.02328
|
0.02321
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.04271
|
0.04294
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.32494
|
0.32495
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.33464
|
0.33466
|
|
SMT-COMP 2024
|
0.40 (3/5) |
cvc5 |
cvc5 |
unsat ✅
|
0.29154
|
0.19197
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.56227
|
0.91759
|
| |
SMT-RAT |
SMT-RAT |
unknown ❌
|
1201.71170
|
1201.08966
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.23126
|
0.13147
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.27843
|
0.17872
|