Benchmark
non-incremental/QF_NRA/20220314-Uncu/Polynomial_Proof_Calls/ProveIneq_ISSAC05_Bessack_5_3.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application:
CAD calls of SUMCracker-ProveInequality to prove Bessack Inequality with (a,b)=(5,3) 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 | 1387 |
| Compressed Size | 718 |
| 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 | 1319 |
| Compressed Size | 704 |
| 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 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unsat ✅
|
0.03139
|
0.03194
|
| |
MathSAT |
MathSAT-5.6.8_default |
unsat ✅
|
0.04278
|
0.04273
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
0.02408
|
0.02414
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.03275
|
0.00723
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.03347
|
0.03345
|
| |
veriT |
veriT+raSAT+Redlog_default |
unknown ❌
|
1200.08000
|
1200.02000
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.01530
|
0.01523
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.01893
|
0.02082
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.33888
|
0.33524
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
0.02177
|
0.02238
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unsat ✅
|
0.02390
|
0.02392
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.01967
|
0.00659
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.10940
|
0.10939
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.01271
|
0.01268
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.02265
|
0.02288
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28152
|
0.28156
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.28790
|
0.28800
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
0.26141
|
0.14374
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.46654
|
0.43339
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.29182
|
0.16214
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.29484
|
0.16652
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.59437
|
0.47874
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.27275
|
0.15770
|
| |
|
z3siri-base |
unsat ✅
|
0.27352
|
0.14964
|