Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Basic_Denominator_Simplifications/BDC_ProveIneq_ISSAC10_ex1e.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: CAD calls of SUMCracker-ProveInequality to prove Example 1 in
M. Kauers and V. Pillwein, When can we detect that a P-finite sequence is positive?
ISSAC '10: Proceedings of the 2010 International Symposium on Symbolic and Algebraic ComputationJuly 2010 Pages 195–201
(https://doi.org/10.1145/1837934.1837974)
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 | 1939 |
| Compressed Size | 943 |
| 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 | sat |
| Inferred Status | sat |
| Size | 1912 |
| Compressed Size | 945 |
| Max. Term Depth | 9 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 4 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
not | 3 |
and | 1 |
= | 3 |
+ | 28 |
- | 3 |
* | 56 |
< | 1 |
<= | 11 |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2022
|
|
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.13860
|
0.13888
|
| |
MathSAT |
MathSAT-5.6.8_default |
sat ✅
|
0.04961
|
0.04959
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.11826
|
0.11831
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03981
|
0.00692
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.02054
|
0.02052
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.03301
|
0.03303
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
216.87500
|
216.85300
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02479
|
0.02652
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29237
|
0.29244
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.23960
|
0.13993
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.46092
|
0.50634
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.23274
|
0.13288
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.23523
|
0.13537
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.27123
|
0.17133
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.31243
|
0.18458
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.47041
|
0.48092
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.27732
|
0.14802
|
| |
Yices2 |
Yices2 |
sat ✅
|
90.97137
|
90.84525
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.54959
|
0.46262
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.32222
|
0.19234
|
| |
|
z3siri-base |
sat ✅
|
0.30623
|
0.18126
|