Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Disjunctive_Denominator_Simplifications/DDC_ProveIneq_Mitrinovic_4_22b.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: Automated proof of (4.22) 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 by introducing disjunctions with sign conditions:
a/b == c/d --> a d==b c && b<>0 && d<>0
a/b >= c --> a >=b c && b >0 or ( a <= b c && b < 0)
| Benchmark |
|---|
| Size | 1771 |
| Compressed Size | 830 |
| 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 | 1745 |
| Compressed Size | 834 |
| Max. Term Depth | 8 |
| 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
or | 3 |
and | 7 |
+ | 13 |
- | 21 |
* | 42 |
< | 15 |
<= | 5 |
| |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
unsat ✅
|
0.24780
|
0.14800
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.42145
|
0.44935
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.25213
|
0.15252
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.23095
|
0.13130
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.27855
|
0.17892
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
0.29517
|
0.16953
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.46227
|
0.45623
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.28561
|
0.15741
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.28652
|
0.16494
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.61081
|
0.49334
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.28410
|
0.16470
|
| |
|
z3siri-base |
unsat ✅
|
0.28476
|
0.16911
|