Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Basic_Denominator_Simplifications/BDC_ProveIneq_ISSAC05_Mitrinovic_7_32.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: CAD calls of SUMCracker-ProveInequality to prove (7.32, in Mitrinovic's Inequalities Book) 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 | 1511 |
| Compressed Size | 839 |
| 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 | 1481 |
| Compressed Size | 836 |
| Max. Term Depth | 6 |
| 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
not | 3 |
and | 1 |
= | 3 |
+ | 9 |
- | 7 |
* | 11 |
< | 3 |
<= | 5 |
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 ✅
|
0.09660
|
0.09658
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.04000
|
1199.91000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
0.04203
|
0.04267
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.01910
|
0.00955
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.03193
|
0.03192
|
| |
veriT |
veriT+raSAT+Redlog_default |
unsat ✅
|
35.90170
|
35.89800
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.01379
|
0.01199
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.01919
|
0.02108
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28516
|
0.28521
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
0.03233
|
0.03287
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unsat ✅
|
0.03672
|
0.03662
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.01648
|
0.00648
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.01436
|
0.01433
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.01252
|
0.01026
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.02267
|
0.02287
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28650
|
0.28654
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.29652
|
0.29539
|