Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Basic_Denominator_Simplifications/BDC_ProveIneq_Mitrinovic_4_3.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: Automated proof of (4.3) 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 | 1327 |
| Compressed Size | 754 |
| 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 | 1311 |
| Compressed Size | 738 |
| Max. Term Depth | 8 |
| 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
not | 2 |
and | 1 |
= | 2 |
+ | 15 |
- | 1 |
* | 21 |
< | 1 |
<= | 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 ✅
|
0.07651
|
0.07708
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.10000
|
1199.97000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
0.07153
|
0.07160
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.01784
|
0.00699
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.01300
|
0.00954
|
| |
veriT |
veriT+raSAT+Redlog_default |
unsat ✅
|
16.36360
|
16.36160
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.01208
|
0.01201
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.01887
|
0.02077
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28615
|
0.28621
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
0.03155
|
0.03204
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unsat ✅
|
0.07962
|
0.07966
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.01565
|
0.00643
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.02200
|
0.02201
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.01059
|
0.01018
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.02274
|
0.02297
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28369
|
0.28374
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.29348
|
0.29352
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
unsat ✅
|
0.22742
|
0.12760
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.45293
|
0.47418
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.21487
|
0.11503
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.21798
|
0.11817
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.29233
|
0.19214
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
0.29583
|
0.17238
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.45055
|
0.43647
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.28621
|
0.15944
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.29465
|
0.16497
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.60647
|
0.48533
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.30886
|
0.18600
|
| |
|
z3siri-base |
unsat ✅
|
0.29602
|
0.17289
|