Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Basic_Denominator_Simplifications/BDC_ProveIneq_ISSAC05_LevinRHSb.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 | 2040 |
| Compressed Size | 953 |
| 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 | 2017 |
| Compressed Size | 954 |
| 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 | 6 |
and | 1 |
= | 6 |
+ | 20 |
- | 5 |
* | 68 |
< | 2 |
<= | 6 |
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 |
unknown ❌
|
1200.06000
|
1199.90000
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.09000
|
1200.00000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
60.07720
|
60.07160
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01920
|
0.00634
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.01920
|
0.01916
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.07390
|
0.04249
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.02547
|
0.02539
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02233
|
0.02421
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28640
|
0.28648
|
|
SMT-COMP 2024
|
0.40 (3/5) |
cvc5 |
cvc5 |
unknown ❌
|
1201.71202
|
1201.02724
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.44762
|
0.51832
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.24758
|
0.14761
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.22382
|
0.12280
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.26813
|
0.16899
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
2.96473
|
2.85230
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.46849
|
0.49481
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.26975
|
0.14746
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.28617
|
0.16832
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.60285
|
0.52653
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.32256
|
0.19422
|
| |
|
z3siri-base |
sat ✅
|
0.30536
|
0.17635
|