Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Disjunctive_Denominator_Simplifications/DDC_ProveIneq_ISSAC05_Bessack_2_m1.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application:
CAD calls of SUMCracker-ProveInequality to prove Bessack Inequality with (a,b)=(2,-1) 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 | 1473 |
| Compressed Size | 822 |
| 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 | 1429 |
| Compressed Size | 807 |
| 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
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
unsat ✅
|
0.22596
|
0.12600
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43967
|
0.44837
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.21863
|
0.11886
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.21729
|
0.11754
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.26727
|
0.16762
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
0.27675
|
0.15700
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.42312
|
0.38442
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.26422
|
0.13821
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.29324
|
0.16565
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.60011
|
0.48206
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.29929
|
0.17830
|
| |
|
z3siri-base |
unsat ✅
|
0.25866
|
0.14179
|