Benchmark
non-incremental/QF_NRA/20220314-Uncu/Polynomial_Proof_Calls/ProveIneq_ISSAC05_Bessack_4_0.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application:
CAD calls of SUMCracker-ProveInequality to prove Bessack Inequality with (a,b)=(4,0) 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)
| Benchmark |
|---|
| Size | 1192 |
| Compressed Size | 677 |
| 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 | 1139 |
| Compressed Size | 677 |
| Max. Term Depth | 4 |
| 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 2022
|
|
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unsat ✅
|
0.02521
|
0.02571
|
| |
MathSAT |
MathSAT-5.6.8_default |
unsat ✅
|
0.02351
|
0.02346
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
0.01962
|
0.01968
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.01865
|
0.00822
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.01895
|
0.00958
|
| |
veriT |
veriT+raSAT+Redlog_default |
unsat ✅
|
7.55756
|
7.55677
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.01467
|
0.01265
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.01811
|
0.01995
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28082
|
0.28090
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
0.02215
|
0.02271
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unsat ✅
|
0.01963
|
0.01971
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.01616
|
0.00641
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.01752
|
0.01751
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.01036
|
0.00996
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.02263
|
0.02270
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28236
|
0.28242
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.28814
|
0.28815
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
unsat ✅
|
0.21990
|
0.12060
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.39737
|
0.39405
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.21887
|
0.11887
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.21702
|
0.11710
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.26535
|
0.16572
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
0.27372
|
0.14819
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43239
|
0.40665
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.24729
|
0.13043
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.28608
|
0.16107
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.59473
|
0.48027
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.36758
|
0.23647
|
| |
|
z3siri-base |
unsat ✅
|
0.30885
|
0.18068
|