Benchmark
non-incremental/QF_NRA/20220314-Uncu/Polynomial_Proof_Calls/ProveIneq_Mitrinovic_4_41.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: Automated proof of (4.41) 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 | 1163 |
| Compressed Size | 656 |
| 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 | 1135 |
| Compressed Size | 647 |
| 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 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unsat ✅
|
0.06076
|
0.06129
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.07000
|
1199.93000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
0.04847
|
0.04854
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.01614
|
0.00637
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.05102
|
0.05058
|
| |
veriT |
veriT+raSAT+Redlog_default |
unsat ✅
|
319.89300
|
319.84600
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.01207
|
0.01200
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.01881
|
0.02067
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28629
|
0.28635
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
0.03064
|
0.03124
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unsat ✅
|
0.05017
|
0.05023
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.01632
|
0.00622
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.04075
|
0.04070
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.01053
|
0.01036
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.02362
|
0.02385
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28427
|
0.28432
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.29221
|
0.29227
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
0.30397
|
0.18057
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.42750
|
0.40693
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.27490
|
0.16016
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.29700
|
0.16806
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.57228
|
0.45630
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.30489
|
0.18101
|
| |
|
z3siri-base |
unsat ✅
|
0.30177
|
0.17259
|