Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Disjunctive_Denominator_Simplifications/DDC_ProveIneq_ISSAC05_Mitrinovic_7_32.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: CAD calls of SUMCracker-ProveInequality to prove (7.32, in Mitrinovic's Inequalities Book) in
S. Gerhold and M. Kauers, A Procedure for Proving Special Function Inequalities Involving a Discrete Parameter.
ISSAC '05: Proceedings of the 2005 international symposium on Symbolic and algebraic computationJuly 2005 Pages 156-162.
(https://dl.acm.org/doi/10.1145/1073884.1073907)
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 | 1718 |
| Compressed Size | 887 |
| 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 | 2022-01-06 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 | 1687 |
| Compressed Size | 892 |
| Max. Term Depth | 10 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 5 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
or | 4 |
and | 9 |
+ | 13 |
- | 8 |
* | 12 |
< | 14 |
<= | 6 |
| |
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 ✅
|
0.03909
|
0.03961
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.12000
|
1199.87000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
0.03914
|
0.03918
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.08344
|
0.00742
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.24974
|
0.24969
|
| |
veriT |
veriT+raSAT+Redlog_default |
unsat ✅
|
15.04390
|
15.04590
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.02313
|
0.02268
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.01973
|
0.02167
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28577
|
0.28578
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
0.02535
|
0.02583
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unsat ✅
|
0.04113
|
0.04118
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.01620
|
0.00621
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.15875
|
0.15869
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.01108
|
0.01004
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.02288
|
0.02310
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28428
|
0.28435
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.29311
|
0.29298
|