Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Basic_Denominator_Simplifications/BDC_ProveIneq_Mitrinovic_4_29_2.smt2
Translated to SMT-Lib by Maple SMTLIB package.
* Simplified the original ProveInequality call for SMTLIB package
Application: Automated proof of (4.29) 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
Extra comment: The original Mitrinovic 4.29 call has an OR statement in the assert call. Here we split this into two files.
| Benchmark |
|---|
| Size | 1573 |
| 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 | 2022-01-05 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 | 1533 |
| Compressed Size | 823 |
| Max. Term Depth | 7 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 2 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
not | 4 |
and | 1 |
= | 4 |
+ | 22 |
- | 1 |
* | 17 |
< | 2 |
<= | 3 |
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 ✅
|
0.07087
|
0.07127
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.09000
|
1199.95000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
0.05136
|
0.05142
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.03068
|
0.00813
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.02905
|
0.02902
|
| |
veriT |
veriT+raSAT+Redlog_default |
unsat ✅
|
0.23872
|
0.23958
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.01221
|
0.01215
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.01865
|
0.02051
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28111
|
0.28118
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
0.28486
|
0.16662
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.45713
|
0.44647
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.25777
|
0.13557
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.28647
|
0.16335
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.59894
|
0.47875
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.27432
|
0.15681
|
| |
|
z3siri-base |
unsat ✅
|
0.27772
|
0.15852
|