Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Basic_Denominator_Simplifications/BDC_ProveIneq_ISSAC05_LevinRHSm.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: CAD calls of SUMCracker-ProveInequality to prove RHS of Levin's Inequality (after multiplying both siides of the inequality with x^n) in
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)
All denominators in the original CAD call got cleared in a simple way:
a/b == c/d --> a d==b c && b<>0 && d<>0
a/b > c/d --> a d^2 >=b^2 c && b<>0 && d<>0
| Benchmark |
|---|
| Size | 1584 |
| Compressed Size | 864 |
| 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 | 2022-01-06 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 | 1560 |
| Compressed Size | 873 |
| Max. Term Depth | 7 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 3 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
not | 2 |
and | 1 |
= | 2 |
+ | 13 |
- | 3 |
* | 28 |
< | 2 |
<= | 4 |
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 ✅
|
2.43098
|
2.43122
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.05000
|
1200.02000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
0.07377
|
0.07386
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.04935
|
0.00769
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
2.36834
|
2.36824
|
| |
veriT |
veriT+raSAT+Redlog_default |
unsat ✅
|
2.67477
|
2.67548
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.01968
|
0.01960
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.02096
|
0.02283
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28366
|
0.28367
|