Benchmark
non-incremental/QF_NRA/20220314-Uncu/Polynomial_Proof_Calls/ProveIneq_ISSAC05_Thm6.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application:
CAD calls of SUMCracker-ProveInequality to prove Theorem 6 example with r=1
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 | 1437 |
| Compressed Size | 746 |
| 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 | 1397 |
| Compressed Size | 733 |
| Max. Term Depth | 6 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 8 |
| 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 ✅
|
0.09438
|
0.09496
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.11000
|
1199.95000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
0.08095
|
0.08102
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.01934
|
0.00634
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
42.96150
|
42.95970
|
| |
veriT |
veriT+raSAT+Redlog_default |
unsat ✅
|
467.56400
|
467.43400
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.01978
|
0.01973
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.01957
|
0.02147
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28183
|
0.28190
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
0.05591
|
0.05614
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unsat ✅
|
0.07013
|
0.07023
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.01826
|
0.00644
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.19905
|
0.19903
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.01494
|
0.01487
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.02351
|
0.02374
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28252
|
0.28263
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.28466
|
0.28466
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
unsat ✅
|
0.23984
|
0.14040
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.40580
|
0.41261
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.25335
|
0.15333
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.24783
|
0.14745
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.26581
|
0.16625
|