Benchmark
non-incremental/QF_NRA/20220314-Uncu/Polynomial_Proof_Calls/ProveIneq_ISSAC05_SignPattern_1p_4m_1w_4p_p.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 | 4223 |
| Compressed Size | 1284 |
| 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 | 4144 |
| Compressed Size | 1267 |
| 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 |
+ | 12 |
- | 49 |
* | 296 |
< | 9 |
<= | 2 |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unsat ✅
|
2.55381
|
2.54986
|
| |
MathSAT |
MathSAT-5.6.8_default |
unsat ✅
|
18.46620
|
18.46700
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
14.51000
|
14.51000
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.03036
|
0.00668
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
1.36628
|
1.36628
|
| |
veriT |
veriT+raSAT+Redlog_default |
unknown ❌
|
1200.11000
|
1226.06000
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.02615
|
0.02596
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.02463
|
0.02652
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28982
|
0.28991
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
0.57347
|
0.45358
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.45326
|
0.51992
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.42113
|
0.30226
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.30364
|
0.17208
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.61658
|
0.54105
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.30969
|
0.18804
|
| |
|
z3siri-base |
unsat ✅
|
0.29692
|
0.17509
|