Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Disjunctive_Denominator_Simplifications/DDC_ProveIneq_ISSAC10_ex1e.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: CAD calls of SUMCracker-ProveInequality to prove Example 1 in
M. Kauers and V. Pillwein, When can we detect that a P-finite sequence is positive?
ISSAC '10: Proceedings of the 2010 International Symposium on Symbolic and Algebraic ComputationJuly 2010 Pages 195–201
(https://doi.org/10.1145/1837934.1837974)
All denominators in the original CAD call got cleared by introducing disjunctions with sign conditions:
a/b == c/d --> a d==b c && b<>0 && d<>0
a/b >= c --> a >=b c && b >0 or ( a <= b c && b < 0)
| Benchmark |
|---|
| Size | 2485 |
| Compressed Size | 1006 |
| 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 | 2022-01-06 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 | sat |
| Inferred Status | sat |
| Size | 2457 |
| Compressed Size | 1000 |
| Max. Term Depth | 10 |
| 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
or | 3 |
and | 7 |
+ | 39 |
- | 7 |
* | 94 |
< | 8 |
<= | 13 |
| |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.07457
|
0.07515
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.09130
|
0.09136
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02367
|
0.00646
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
6.88529
|
6.88429
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.36720
|
0.36713
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02989
|
0.03013
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28967
|
0.28973
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.29536
|
0.29542
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.23638
|
0.13707
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.47929
|
0.56393
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.25446
|
0.15464
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.22259
|
0.12223
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.27079
|
0.17117
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.28233
|
0.16423
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.47794
|
0.50888
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.29322
|
0.16546
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.27624
|
0.15703
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.61591
|
0.50879
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.30867
|
0.18705
|
| |
|
z3siri-base |
sat ✅
|
0.26790
|
0.14657
|