Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Disjunctive_Denominator_Simplifications/DDC_ProveIneq_ISSAC05_LevinRHSc.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: CAD calls of SUMCracker-ProveInequality to prove RHS of Levin's Inequality (without any modification to the statement) in
S. Gerhold and M. Kauers, A Procedure for Proving Special Function Inequalities Involving a Discrete Parameter.
ISSAC '05: Proceedings of the 2005 international symposium on Symbolic and algebraic computationJuly 2005 Pages 156-162.
(https://dl.acm.org/doi/10.1145/1073884.1073907)
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 | 3403 |
| Compressed Size | 1158 |
| 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 | 3379 |
| Compressed Size | 1160 |
| Max. Term Depth | 11 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 3 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
or | 12 |
and | 25 |
+ | 65 |
- | 12 |
* | 146 |
< | 35 |
<= | 11 |
| |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.17926
|
0.17974
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.19165
|
0.19172
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03160
|
0.00635
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.07119
|
0.07117
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.02172
|
0.02162
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.03267
|
0.03292
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
22.55180
|
22.55150
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
22.59940
|
22.59740
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.32910
|
0.22773
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.49549
|
0.62740
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.25233
|
0.15249
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.22292
|
0.12331
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.28908
|
0.18962
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.39249
|
0.26267
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.51411
|
0.59798
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.31303
|
0.19165
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.29775
|
0.17166
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.61063
|
0.50247
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.30003
|
0.17120
|
| |
|
z3siri-base |
sat ✅
|
0.30298
|
0.17864
|