Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Disjunctive_Denominator_Simplifications/DDC_ProveIneq_JSC_SUMCracker_14a.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 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 | 1707 |
| Compressed Size | 843 |
| 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 | 1693 |
| Compressed Size | 839 |
| Max. Term Depth | 8 |
| 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
or | 4 |
and | 9 |
+ | 20 |
- | 15 |
* | 24 |
< | 12 |
<= | 2 |
| |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2023
|
0.14 (6/7) |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
901.28100
|
900.81800
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unknown ❌
|
1171.90000
|
1170.04000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01702
|
0.00629
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.06464
|
0.06461
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01460
|
0.01092
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02247
|
0.02265
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28795
|
0.28803
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.29261
|
0.29265
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.28002
|
0.16075
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.45394
|
0.44429
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.28980
|
0.16251
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.25217
|
0.13474
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.58866
|
0.48052
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.28521
|
0.16401
|
| |
|
z3siri-base |
sat ✅
|
0.27533
|
0.15154
|