Benchmark
non-incremental/QF_NRA/20220314-Uncu/Polynomial_Proof_Calls/ProveIneq_ISSAC05_SignPattern_1p_4m_1w_8p_1w_n.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 | 8685 |
| Compressed Size | 1859 |
| 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 | 8601 |
| Compressed Size | 1839 |
| 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 |
+ | 16 |
- | 114 |
* | 675 |
< | 13 |
<= | 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 ✅
|
3.91401
|
3.91432
|
| |
MathSAT |
MathSAT-5.6.8_default |
unsat ✅
|
121.01800
|
120.97000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
42.84030
|
42.83980
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.04909
|
0.00740
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
3.59069
|
3.59045
|
| |
veriT |
veriT+raSAT+Redlog_default |
unknown ❌
|
1200.03000
|
1300.36000
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.03363
|
0.03351
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.03172
|
0.03366
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.31895
|
0.31901
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
0.17927
|
0.17952
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unsat ✅
|
13.82340
|
13.82280
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.03680
|
0.00716
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.26225
|
0.26219
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.02198
|
0.02191
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.03197
|
0.03218
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.31247
|
0.31253
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.32224
|
0.32229
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
unsat ✅
|
4.72850
|
4.62630
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.52529
|
0.80221
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.52407
|
0.42437
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.22573
|
0.12596
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.27827
|
0.17873
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
1.29799
|
1.16876
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.53103
|
0.74212
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
161.28365
|
161.13060
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.29638
|
0.17247
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.65111
|
0.61307
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.32018
|
0.19425
|
| |
|
z3siri-base |
unsat ✅
|
0.27255
|
0.15126
|