Benchmark
non-incremental/QF_NRA/20220314-Uncu/Polynomial_Proof_Calls/ProveIneq_AmerMathMonthly_vol125no10_p922a.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)
First call proves that the Sum of n terms is greater or equal than n.
| Benchmark |
|---|
| Size | 1081 |
| Compressed Size | 635 |
| 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 | 1048 |
| Compressed Size | 633 |
| 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 2022
|
|
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unsat ✅
|
0.02412
|
0.02461
|
| |
MathSAT |
MathSAT-5.6.8_default |
unsat ✅
|
0.01621
|
0.01616
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
0.01902
|
0.01821
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.02200
|
0.00738
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.01227
|
0.00693
|
| |
veriT |
veriT+raSAT+Redlog_default |
unsat ✅
|
0.16177
|
0.16205
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.02255
|
0.01246
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.01791
|
0.01980
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.27890
|
0.27895
|