Benchmark
non-incremental/QF_NRA/20220314-Uncu/Polynomial_Proof_Calls/ProveIneq_Mitrinovic_4_15.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: Automated proof of (4.15) in
D.S. Mitrinovic, Elementary Inequalities, P. Noordhoff ltd - Groningen, (1964)
("https://www.isinj.com/mt-usamo/Elementary%20Inequalities%20-%20Mitrinovic,%20et.%20al.%20(1964,%20Noordhoff).pdf")
| Benchmark |
| Size | 1177 |
| Compressed Size | 644 |
| 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 | 2022-01-05 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 | 1158 |
| Compressed Size | 641 |
| Max. Term Depth | 5 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 7 |
| 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 ✅
|
0.23113
|
0.13163
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.40470
|
0.41044
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.22347
|
0.12373
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.22267
|
0.12299
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.27057
|
0.17105
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
0.26176
|
0.14619
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.45296
|
0.42895
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.29290
|
0.16644
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.30054
|
0.17147
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.60431
|
0.49090
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.31627
|
0.19021
|
| |
|
z3siri-base |
unsat ✅
|
0.30749
|
0.17607
|