Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Basic_Denominator_Simplifications/BDC_ProveIneq_ISSAC05_LevinRHSa.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 | 1701 |
| 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 | 2022-02-03 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 | 1679 |
| Compressed Size | 898 |
| Max. Term Depth | 7 |
| 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 | 4 |
and | 1 |
= | 4 |
+ | 13 |
- | 3 |
* | 39 |
< | 2 |
<= | 4 |
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 |
sat ✅
|
0.12671
|
0.12730
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.10000
|
1200.01000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
9.12028
|
9.12025
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02701
|
0.00726
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.42716
|
0.42707
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.01699
|
0.01703
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01435
|
0.01431
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02133
|
0.02363
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29132
|
0.29136
|
|
SMT-COMP 2023
|
0.14 (6/7) |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.05992
|
0.06049
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unknown ❌
|
1173.55000
|
1169.62000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01868
|
0.00646
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.01598
|
0.01595
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01225
|
0.01219
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02579
|
0.02601
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28655
|
0.28664
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.29467
|
0.29473
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.24124
|
0.14186
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41948
|
0.44137
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.21676
|
0.11702
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.28125
|
0.18099
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.31474
|
0.21541
|