Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Disjunctive_Denominator_Simplifications/DDC_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 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 | 6498 |
| Compressed Size | 1458 |
| 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 | 6477 |
| Compressed Size | 1449 |
| Max. Term Depth | 10 |
| 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 | 16 |
and | 33 |
+ | 154 |
- | 47 |
* | 428 |
< | 44 |
<= | 10 |
| |
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 ✅
|
6.59664
|
6.59699
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.12000
|
1200.03000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
3.58716
|
3.58695
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.04002
|
0.00847
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.09132
|
0.09128
|
| |
veriT |
veriT+raSAT+Redlog_default |
unknown ❌
|
1200.03000
|
1200.06000
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.06438
|
0.06432
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.04356
|
0.04546
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.31165
|
0.31170
|
|
SMT-COMP 2023
|
0.43 (4/7) |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unknown ❌
|
1200.03000
|
1198.60000
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unknown ❌
|
1183.35000
|
1171.20000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02369
|
0.00633
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unknown ❌
|
1200.08000
|
1200.01000
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01546
|
0.01542
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
335.66600
|
335.63700
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
20.34230
|
20.34320
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
20.84440
|
20.83740
|