Benchmark
non-incremental/QF_NRA/20220314-Uncu/Polynomial_Proof_Calls/ProveIneq_ISSAC05_SignPattern_Lemma4d.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application:
CAD calls of the Main Algorithm to prove the sign pattern:
Sign Pattern Lemma 4
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 | 65786 |
| Compressed Size | 7530 |
| 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 | 65776 |
| Compressed Size | 7539 |
| 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 |
+ | 32 |
- | 625 |
* | 3721 |
< | 30 |
<= | 1 |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2022
|
0.33 (6/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unsat ✅
|
51.05000
|
51.04350
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.03000
|
1199.96000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unknown ❌
|
1170.21000
|
1170.10000
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.14705
|
0.00671
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
4.48952
|
4.45624
|
| |
veriT |
veriT+raSAT+Redlog_default |
unknown ❌
|
1200.02000
|
1199.86000
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.59883
|
0.59879
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.13099
|
0.13285
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.60453
|
0.60458
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
unsat ✅
|
31.79606
|
31.69510
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
1.21830
|
3.13652
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
827.72934
|
827.55712
|
| |
Yices2 |
Yices2 |
unsat ✅
|
2.72186
|
2.62072
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.39352
|
0.29384
|
|
SMT-COMP 2025
|
0.33 (4/6) |
cvc5 |
cvc5 |
unsat ✅
|
117.07487
|
116.93019
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
1.09662
|
2.56561
|
| |
SMT-RAT |
SMT-RAT |
unknown ❌
|
1201.29833
|
1201.08384
|
| |
Yices2 |
Yices2 |
unsat ✅
|
1.85812
|
1.72748
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
1123.78832
|
1203.65818
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.42945
|
0.30074
|
| |
|
z3siri-base |
unsat ✅
|
0.39865
|
0.27882
|