Benchmark
non-incremental/QF_NRA/20220314-Uncu/Polynomial_Proof_Calls/ProveIneq_ISSAC05_SignPattern_1p_4m_1npos_8p_p.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application:
CAD calls of the Main Algorithm to prove the sign pattern:
+ - - - - [-:0] + + + + + + + + => +
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 | 8773 |
| Compressed Size | 1865 |
| 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 | 8690 |
| Compressed Size | 1844 |
| 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 |
+ | 17 |
- | 117 |
* | 691 |
< | 13 |
<= | 3 |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2022
|
0.22 (7/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unsat ✅
|
6.00654
|
6.00604
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.10000
|
1200.02000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
19.93390
|
19.93340
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.08957
|
0.00688
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
19.61960
|
19.61420
|
| |
veriT |
veriT+raSAT+Redlog_default |
unknown ❌
|
1200.02000
|
1333.70000
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
259.86400
|
259.82200
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.06248
|
0.06440
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.38234
|
0.38235
|
|
SMT-COMP 2024
|
0.40 (3/5) |
cvc5 |
cvc5 |
unsat ✅
|
4.24707
|
4.14595
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.52971
|
0.80785
|
| |
SMT-RAT |
SMT-RAT |
unknown ❌
|
1201.71279
|
1201.11027
|
| |
Yices2 |
Yices2 |
unsat ✅
|
1.86927
|
1.76770
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.32235
|
0.22238
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
5.35381
|
5.23212
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.55888
|
0.74594
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
623.63649
|
623.44404
|
| |
Yices2 |
Yices2 |
unsat ✅
|
12.64394
|
12.51079
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.67905
|
0.79615
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.35032
|
0.23165
|
| |
|
z3siri-base |
unsat ✅
|
0.37771
|
0.24040
|