Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Basic_Denominator_Simplifications/BDC_ProveIneq_JSC_SUMCracker_14e.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: CAD calls of In[14] on page 12 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 | 4663 |
| Compressed Size | 1389 |
| 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 | sat |
| Inferred Status | sat |
| Size | 4643 |
| Compressed Size | 1363 |
| 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 | 11 |
and | 1 |
= | 11 |
+ | 75 |
- | 36 |
* | 316 |
< | 1 |
<= | 5 |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2022
|
0.22 (7/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
602.26000
|
600.86900
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.10000
|
1199.93000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
2.37467
|
2.37444
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03640
|
0.00634
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.46656
|
0.46653
|
| |
veriT |
veriT+raSAT+Redlog_default |
unknown ❌
|
1200.01000
|
1199.83000
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.02708
|
0.02705
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.05478
|
0.05668
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.30636
|
0.30627
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
905.97100
|
900.79300
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
25.75150
|
25.74980
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03352
|
0.00626
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
46.35710
|
46.35530
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.02284
|
0.02281
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
1.30836
|
1.30834
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.30079
|
0.30079
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.31039
|
0.31044
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
900.32928
|
900.18257
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.55431
|
0.88994
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
34.11356
|
34.00562
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.22818
|
0.12826
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.33275
|
0.23310
|