Benchmark
non-incremental/QF_NRA/20220314-Uncu/Polynomial_Proof_Calls/ProveIneq_ISSAC05_SignPattern_1p_3m_m.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application:
CAD calls of the Main Algorithm to prove the sign pattern:
+ - - - => -
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 | 1588 |
| Compressed Size | 824 |
| 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 | 1514 |
| Compressed Size | 819 |
| 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 |
+ | 7 |
- | 10 |
* | 36 |
< | 4 |
<= | 2 |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
0.19707
|
0.19761
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unsat ✅
|
3.83063
|
3.83032
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.05445
|
0.00637
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
3.15084
|
3.15081
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.03469
|
0.03466
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.04277
|
0.04290
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.29254
|
0.29260
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.30200
|
0.30212
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
unsat ✅
|
0.33264
|
0.23298
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41077
|
0.42440
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.42850
|
0.32878
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.23235
|
0.13260
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.27771
|
0.17818
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
0.37933
|
0.26016
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.46191
|
0.44278
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
2.85225
|
2.73297
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.30242
|
0.17746
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.61798
|
0.56094
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.32537
|
0.19633
|
| |
|
z3siri-base |
unsat ✅
|
0.29061
|
0.17167
|