Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Disjunctive_Denominator_Simplifications/DDC_ProveIneq_ISSAC10_ex3a.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: CAD calls of SUMCracker-ProveInequality to prove Example 3 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 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 | 1271 |
| Compressed Size | 788 |
| 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 | 1243 |
| Compressed Size | 778 |
| Max. Term Depth | 7 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 2 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.22515
|
0.12555
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43226
|
0.43298
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.24606
|
0.14644
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.21689
|
0.11739
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.26595
|
0.16621
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.25603
|
0.14097
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.45053
|
0.41940
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.26733
|
0.14937
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.26605
|
0.14278
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.60452
|
0.48383
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.31056
|
0.18873
|
| |
|
z3siri-base |
sat ✅
|
0.29301
|
0.17184
|