Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Basic_Denominator_Simplifications/BDC_ProveIneq_ISSAC05_Bessack_3_m2.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application:
CAD calls of SUMCracker-ProveInequality to prove Bessack Inequality with (a,b)=(3,-2) 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 | 1451 |
| Compressed Size | 802 |
| 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 | 2022-01-08 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 | 1404 |
| Compressed Size | 788 |
| Max. Term Depth | 6 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 4 |
| Declared Sorts | 0 |
| Defined Functions | 0 |
| Defined Recursive Functions | 0 |
| Defined Sorts | 0 |
| Constants | 0 |
| Declared Datatypes | 0 |
Symbols
not | 1 |
and | 1 |
= | 1 |
+ | 11 |
* | 11 |
< | 5 |
<= | 1 |
| |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
unsat ✅
|
0.25419
|
0.15469
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.42860
|
0.43343
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.23004
|
0.13026
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.23129
|
0.13147
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.26916
|
0.16971
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
0.28525
|
0.16535
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.47394
|
0.44447
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.29330
|
0.16216
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.29431
|
0.16553
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.59191
|
0.46980
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.32713
|
0.18782
|
| |
|
z3siri-base |
unsat ✅
|
0.27335
|
0.15385
|