Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Disjunctive_Denominator_Simplifications/DDC_ProveIneq_Mitrinovic_4_23.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: Automated proof of (4.23) 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 | 1623 |
| Compressed Size | 804 |
| 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 | 1595 |
| Compressed Size | 806 |
| Max. Term Depth | 7 |
| 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
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 ✅
|
0.08976
|
0.09032
|
| |
MathSAT |
MathSAT-5.6.8_default |
unsat ✅
|
0.04708
|
0.04701
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
0.15612
|
0.15623
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.03483
|
0.00891
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.03217
|
0.03215
|
| |
veriT |
veriT+raSAT+Redlog_default |
unknown ❌
|
1200.02000
|
1200.00000
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.01647
|
0.01589
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.01977
|
0.02159
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28258
|
0.28267
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
0.29280
|
0.17600
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.44653
|
0.44747
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.25742
|
0.13936
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.29694
|
0.16826
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.62562
|
0.50618
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.29667
|
0.18058
|
| |
|
z3siri-base |
unsat ✅
|
0.27079
|
0.15353
|