Benchmark
non-incremental/QF_NRA/20220314-Uncu/Polynomial_Proof_Calls/ProveIneq_ISSAC05_Bessack_2_1.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)
| Benchmark |
|---|
| Size | 1185 |
| Compressed Size | 683 |
| 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 | 1140 |
| Compressed Size | 683 |
| 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 ✅
|
0.02723
|
0.02777
|
| |
MathSAT |
MathSAT-5.6.8_default |
unsat ✅
|
0.02241
|
0.02238
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
0.01896
|
0.01901
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.01831
|
0.00708
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.01355
|
0.00877
|
| |
veriT |
veriT+raSAT+Redlog_default |
unsat ✅
|
1.01760
|
1.01874
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.01172
|
0.01167
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.01910
|
0.02070
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28569
|
0.28575
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
0.01957
|
0.02009
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unsat ✅
|
0.03016
|
0.01786
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.01633
|
0.00634
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.03025
|
0.03024
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.01255
|
0.00981
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.02311
|
0.02324
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28124
|
0.28125
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.28893
|
0.28902
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
unsat ✅
|
0.22448
|
0.12487
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.40249
|
0.40428
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.22575
|
0.12612
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.21617
|
0.11638
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.26552
|
0.16583
|