Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Disjunctive_Denominator_Simplifications/DDC_ProveIneq_Mitrinovic_4_4.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: Automated proof of (4.4) 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 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 | 1780 |
| Compressed Size | 824 |
| 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 | 1763 |
| Compressed Size | 822 |
| Max. Term Depth | 11 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 3 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
or | 3 |
and | 7 |
+ | 30 |
- | 2 |
* | 48 |
< | 9 |
<= | 4 |
| |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2022
|
|
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unsat ✅
|
0.08698
|
0.08753
|
| |
MathSAT |
MathSAT-5.6.8_default |
unsat ✅
|
0.09941
|
0.09922
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
0.09327
|
0.09332
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.03126
|
0.00839
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.01212
|
0.01211
|
| |
veriT |
veriT+raSAT+Redlog_default |
unsat ✅
|
5.86432
|
5.86506
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.01301
|
0.01267
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.02186
|
0.02374
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28794
|
0.28800
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
0.03396
|
0.03449
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unsat ✅
|
0.10904
|
0.10913
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.01683
|
0.00633
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.02917
|
0.02914
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.01132
|
0.01023
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.02432
|
0.02449
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.29134
|
0.29142
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.29783
|
0.29792
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
0.27881
|
0.15417
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.44270
|
0.43728
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.28827
|
0.16086
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.28221
|
0.16201
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.60680
|
0.48663
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.30830
|
0.18605
|
| |
|
z3siri-base |
unsat ✅
|
0.30088
|
0.17335
|