Benchmark
non-incremental/QF_NRA/20220314-Uncu/Polynomial_Proof_Calls/ProveIneq_ISSAC05_Bessack_5_2.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application:
CAD calls of SUMCracker-ProveInequality to prove Bessack Inequality with (a,b)=(5,2) 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)
| Benchmark |
|---|
| Size | 1323 |
| Compressed Size | 695 |
| 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 | 2022-01-08 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 | unsat |
| Inferred Status | unsat |
| Size | 1255 |
| Compressed Size | 698 |
| Max. Term Depth | 6 |
| 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
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
unsat ✅
|
0.21973
|
0.12008
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41889
|
0.42568
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.21541
|
0.11563
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.21795
|
0.11812
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.26776
|
0.16819
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
0.25533
|
0.13798
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43981
|
0.40754
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.27913
|
0.15704
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.29696
|
0.16772
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.59799
|
0.47592
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.27314
|
0.15945
|
| |
|
z3siri-base |
unsat ✅
|
0.30015
|
0.17270
|