Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Basic_Denominator_Simplifications/BDC_ProveIneq_JSC_SUMCracker_20.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: CAD calls of In[20] on page 13 in
M. Kauers, SumCracker: A Package for Manipulating Symbolic Sums and Related Objects,
Journal of Symbolic Computation 41(9), 2006, pp. 1039-1057.
(https://www.sciencedirect.com/science/article/pii/S0747717106000502)
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 | 1782 |
| Compressed Size | 866 |
| 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 | 2022-02-03 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 | 1761 |
| Compressed Size | 873 |
| Max. Term Depth | 7 |
| 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 | 2 |
and | 1 |
= | 2 |
+ | 13 |
- | 9 |
* | 58 |
< | 1 |
<= | 7 |
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 ✅
|
601.51600
|
600.28500
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.09000
|
1199.98000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
6.82422
|
6.82285
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.07507
|
0.00625
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
3.23870
|
3.23856
|
| |
veriT |
veriT+raSAT+Redlog_default |
unsat ✅
|
188.39300
|
188.36700
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.09240
|
0.09235
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.05073
|
0.05261
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.30960
|
0.30966
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
901.47900
|
900.38500
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unsat ✅
|
9.60150
|
9.60108
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.07636
|
0.00639
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
3.04617
|
3.04581
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.07713
|
0.07710
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.05477
|
0.05500
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.32031
|
0.32020
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.32014
|
0.32019
|