Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Disjunctive_Denominator_Simplifications/DDC_ProveIneq_ISSAC05_LevinLHS.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: CAD calls of SUMCracker-ProveInequality to prove LHS of Levin's Inequality 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 | 1537 |
| Compressed Size | 843 |
| 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 | unsat |
| Inferred Status | unsat |
| Size | 1515 |
| Compressed Size | 844 |
| 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
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 |
unsat ✅
|
0.13864
|
0.13918
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.04000
|
1199.93000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
0.21840
|
0.21846
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.02234
|
0.00666
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.06684
|
0.06679
|
| |
veriT |
veriT+raSAT+Redlog_default |
unsat ✅
|
0.42447
|
0.43008
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.01665
|
0.01663
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.01962
|
0.02151
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28764
|
0.28770
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
unsat ✅
|
0.28671
|
0.18733
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41089
|
0.42055
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.63396
|
0.53402
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.22767
|
0.12817
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.26975
|
0.17036
|