Benchmark
non-incremental/QF_NRA/20220314-Uncu/Polynomial_Proof_Calls/ProveIneq_Mitrinovic_4_17.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: Automated proof of (4.17) 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 | 1108 |
| Compressed Size | 615 |
| 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 | 1087 |
| Compressed Size | 615 |
| Max. Term Depth | 5 |
| 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 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unsat ✅
|
0.02712
|
0.02771
|
| |
MathSAT |
MathSAT-5.6.8_default |
unsat ✅
|
0.02178
|
0.02169
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
0.02131
|
0.02136
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.01772
|
0.00784
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.01972
|
0.01031
|
| |
veriT |
veriT+raSAT+Redlog_default |
unknown ❌
|
0.01183
|
0.00672
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.01169
|
0.01163
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.01811
|
0.02013
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28583
|
0.28574
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
unsat ✅
|
0.24121
|
0.14160
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.40471
|
0.41179
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.21910
|
0.11934
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.21664
|
0.11695
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.31438
|
0.21503
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
0.29650
|
0.16932
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.45637
|
0.44103
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.29738
|
0.16243
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.25040
|
0.13452
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.60586
|
0.48849
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.36318
|
0.24147
|
| |
|
z3siri-base |
unsat ✅
|
0.29704
|
0.17415
|