Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Disjunctive_Denominator_Simplifications/DDC_ProveIneq_Mitrinovic_4_19.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: Automated proof of (4.19) in
D.S. Mitrinovic, Elementary Inequalities, P. Noordhoff ltd - Groningen, (1964)
("https://www.isinj.com/mt-usamo/Elementary%20Inequalities%20-%20Mitrinovic,%20et.%20al.%20(1964,%20Noordhoff).pdf")
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 | 1411 |
| Compressed Size | 774 |
| 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 | 2022-02-01 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 | 1386 |
| Compressed Size | 760 |
| 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
or | 2 |
and | 5 |
+ | 11 |
- | 4 |
* | 8 |
< | 14 |
<= | 2 |
| |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
0.03021
|
0.03075
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unsat ✅
|
0.04769
|
0.04777
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.01899
|
0.00622
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.04068
|
0.04066
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.01257
|
0.01079
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.02273
|
0.02294
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28132
|
0.28137
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.29211
|
0.29123
|