Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Disjunctive_Denominator_Simplifications/DDC_ProveIneq_ISSAC05_KnoppSchur_b.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application:
CAD calls of SUMCracker-ProveInequality to prove Knopp-Schur Inequality after preprocessing outlined 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 by introducing disjunctions with sign conditions:
a/b == c/d --> a d==b c && b<>0 && d<>0
a/b > c --> a >=b c && b >0 or a <= b c && b < 0
| Benchmark |
|---|
| Size | 3267 |
| Compressed Size | 1140 |
| 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 | 3224 |
| Compressed Size | 1136 |
| Max. Term Depth | 13 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 5 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
or | 5 |
and | 11 |
+ | 68 |
- | 35 |
* | 137 |
< | 24 |
<= | 5 |
| |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
0.08896
|
0.08952
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unsat ✅
|
0.24186
|
0.24191
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.02238
|
0.00634
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.16987
|
0.16982
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.01751
|
0.01747
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.02832
|
0.02853
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28957
|
0.28962
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.29485
|
0.29492
|