Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Disjunctive_Denominator_Simplifications/DDC_ProveIneq_ISSAC05_AmerMathMonthly10347LHSb.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: CAD calls of SUMCracker-ProveInequality to prove Amer Math Monthly Problem 10347 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 | 1734 |
| Compressed Size | 873 |
| 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 | 1706 |
| Compressed Size | 870 |
| Max. Term Depth | 9 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 2 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
or | 2 |
and | 5 |
+ | 26 |
- | 1 |
* | 35 |
< | 6 |
<= | 6 |
| |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
0.07612
|
0.07665
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unsat ✅
|
0.12460
|
0.12469
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.04003
|
0.00768
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.38536
|
0.38528
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.02111
|
0.02105
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.03498
|
0.03522
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.29374
|
0.29385
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.30392
|
0.30397
|