Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Disjunctive_Denominator_Simplifications/DDC_ProveIneq_Mitrinovic_8_4.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: Automated proof of (8.4) 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 | 1650 |
| Compressed Size | 799 |
| 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 | 1614 |
| Compressed Size | 795 |
| Max. Term Depth | 8 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 6 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
or | 2 |
and | 5 |
+ | 21 |
- | 2 |
* | 27 |
< | 6 |
<= | 8 |
| |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2022
|
0.22 (7/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unsat ✅
|
0.19445
|
0.19456
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.10000
|
1200.01000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
0.14723
|
0.14728
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.02673
|
0.00668
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
1.89680
|
1.89545
|
| |
veriT |
veriT+raSAT+Redlog_default |
unknown ❌
|
1200.01000
|
1199.86000
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.08294
|
0.08287
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.02513
|
0.02694
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.29328
|
0.29333
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
0.11218
|
0.11272
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unsat ✅
|
0.16728
|
0.16731
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.02387
|
0.00631
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.10194
|
0.10190
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.06259
|
0.06253
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.02862
|
0.02884
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28552
|
0.28555
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.29487
|
0.29492
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
unsat ✅
|
0.28919
|
0.18897
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41601
|
0.43142
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.34668
|
0.24680
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.26547
|
0.16535
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.30127
|
0.20102
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
0.33159
|
0.21233
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.45816
|
0.44864
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.31174
|
0.18879
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.29191
|
0.17290
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.60194
|
0.50197
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.29521
|
0.17747
|
| |
|
z3siri-base |
unsat ✅
|
0.29705
|
0.17624
|