Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Basic_Denominator_Simplifications/BDC_ProveIneq_Mitrinovic_8_4.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: Automated proof of (8.4) 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")
All denominators in the original CAD call got cleared in a simple way:
a/b == c/d --> a d==b c && b<>0 && d<>0
a/b > c/d --> a d^2 >=b^2 c && b<>0 && d<>0
| Benchmark |
|---|
| Size | 1433 |
| Compressed Size | 746 |
| 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 | 2022-02-01 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 | 1398 |
| Compressed Size | 737 |
| Max. Term Depth | 6 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 6 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
not | 2 |
and | 1 |
= | 2 |
+ | 12 |
* | 19 |
< | 1 |
<= | 7 |
| |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2022
|
0.22 (7/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unsat ✅
|
0.25035
|
0.25083
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.03000
|
1199.92000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
0.19193
|
0.19185
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.02665
|
0.00728
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.17081
|
0.17078
|
| |
veriT |
veriT+raSAT+Redlog_default |
unknown ❌
|
1200.03000
|
1199.87000
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.07979
|
0.07973
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.03721
|
0.03988
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.29031
|
0.29037
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
unsat ✅
|
0.30705
|
0.20743
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41808
|
0.43738
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.34576
|
0.24586
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.25534
|
0.15541
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.27104
|
0.17098
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
0.34534
|
0.21809
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.46706
|
0.44635
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.32105
|
0.20016
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.29543
|
0.17391
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.60848
|
0.50467
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.27733
|
0.15964
|
| |
|
z3siri-base |
unsat ✅
|
0.32226
|
0.18895
|