Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Basic_Denominator_Simplifications/BDC_ProveIneq_ISSAC05_LevinRHSc.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: CAD calls of SUMCracker-ProveInequality to prove RHS of Levin's Inequality (without any modification to the statement) 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 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 | 2401 |
| Compressed Size | 998 |
| 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 | sat |
| Inferred Status | sat |
| Size | 2377 |
| Compressed Size | 1011 |
| 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 | 8 |
and | 1 |
= | 8 |
+ | 27 |
- | 7 |
* | 97 |
< | 2 |
<= | 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 |
sat ✅
|
0.08836
|
0.08895
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.04000
|
1199.86000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unknown ❌
|
1169.52000
|
1169.33000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.05147
|
0.00887
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.58876
|
0.58875
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.05385
|
0.04756
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.02977
|
0.02958
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02414
|
0.02609
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28605
|
0.28612
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.02937
|
0.02990
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
60.25030
|
60.23650
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02122
|
0.00621
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.04217
|
0.04211
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.02547
|
0.02544
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02691
|
0.02709
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28896
|
0.28905
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.29593
|
0.29601
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.22959
|
0.13017
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43530
|
0.51258
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.22721
|
0.12727
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.25122
|
0.15130
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.27159
|
0.17005
|