Benchmark
non-incremental/QF_NRA/20220314-Uncu/Polynomial_Proof_Calls/ProveIneq_ISSAC05_Bessack_5_1.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application:
CAD calls of SUMCracker-ProveInequality to prove Bessack Inequality with (a,b)=(5,1) 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)
| Benchmark |
|---|
| Size | 1264 |
| Compressed Size | 684 |
| 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 | 1197 |
| Compressed Size | 687 |
| Max. Term Depth | 5 |
| 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 ✅
|
0.02769
|
0.02830
|
| |
MathSAT |
MathSAT-5.6.8_default |
unsat ✅
|
0.02930
|
0.02925
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
0.02139
|
0.02144
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.01876
|
0.00653
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.05649
|
0.05647
|
| |
veriT |
veriT+raSAT+Redlog_default |
unsat ✅
|
563.50300
|
563.44200
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.01312
|
0.01309
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.01876
|
0.02061
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.27934
|
0.27939
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
0.02011
|
0.02054
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unsat ✅
|
0.02281
|
0.02291
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.01699
|
0.00634
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.06045
|
0.06039
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.01425
|
0.01206
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.02250
|
0.02274
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28184
|
0.28189
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.28612
|
0.28614
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
0.29918
|
0.17004
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43680
|
0.41233
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.24841
|
0.13030
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.29262
|
0.16482
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.58922
|
0.46740
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.28032
|
0.15991
|
| |
|
z3siri-base |
unsat ✅
|
0.30073
|
0.17270
|