Benchmark
non-incremental/QF_NRA/20220314-Uncu/Polynomial_Proof_Calls/ProveIneq_AmerMathMonthly_vol125no10_p922c.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: CAD calls of SUMCracker-ProveInequality to prove
"A Generalization of a Monthly Problem" in MAA Amer Math Monthly vol 125.
(https://www.tandfonline.com/doi/full/10.1080/00029890.2018.1460976)
This call introduces the x_i^k term and proves that as k gets larger the sums gets larger.
| Benchmark |
|---|
| Size | 1111 |
| Compressed Size | 641 |
| 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 | unsat |
| Inferred Status | unsat |
| Size | 1076 |
| Compressed Size | 641 |
| Max. Term Depth | 5 |
| 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
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
unsat ✅
|
0.22074
|
0.12134
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41148
|
0.41961
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.21247
|
0.11258
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.21741
|
0.11767
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.31328
|
0.21268
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
0.25733
|
0.14133
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.45844
|
0.42780
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.27970
|
0.15624
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.28653
|
0.16251
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.60068
|
0.47316
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.30366
|
0.18339
|
| |
|
z3siri-base |
unsat ✅
|
0.28671
|
0.16542
|