Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Disjunctive_Denominator_Simplifications/DDC_ProveIneq_Mitrinovic_7_35.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: Automated proof of (7.35) 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 | 1529 |
| Compressed Size | 788 |
| 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 | 1499 |
| Compressed Size | 772 |
| 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
or | 2 |
and | 5 |
+ | 15 |
- | 10 |
* | 27 |
< | 6 |
<= | 7 |
| |
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 ✅
|
0.13047
|
0.13103
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.08000
|
1199.91000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
0.29732
|
0.29738
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.03798
|
0.00772
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
1.51164
|
1.51153
|
| |
veriT |
veriT+raSAT+Redlog_default |
unsat ✅
|
3.49414
|
3.47706
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.01758
|
0.01755
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.01943
|
0.02133
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28870
|
0.28874
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
0.06454
|
0.06509
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unsat ✅
|
0.23620
|
0.23630
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.02039
|
0.00629
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.04511
|
0.04494
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.01693
|
0.01689
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.02406
|
0.02429
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28264
|
0.28268
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.29029
|
0.29037
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
unsat ✅
|
0.29183
|
0.19217
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.44554
|
0.45877
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.23524
|
0.13574
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.27238
|
0.17193
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.26919
|
0.16946
|