Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Disjunctive_Denominator_Simplifications/DDC_ProveIneq_ISSAC10_ex2d.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: CAD calls of SUMCracker-ProveInequality to prove Example 2 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 | 1804 |
| Compressed Size | 899 |
| 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 | unsat |
| Inferred Status | unsat |
| Size | 1776 |
| Compressed Size | 900 |
| Max. Term Depth | 9 |
| 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 | 2 |
and | 5 |
+ | 22 |
- | 7 |
* | 36 |
< | 6 |
<= | 10 |
| |
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 ✅
|
0.09981
|
0.10032
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.03000
|
1199.81000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unsat ✅
|
0.16233
|
0.16240
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.05755
|
0.00937
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.01494
|
0.01488
|
| |
veriT |
veriT+raSAT+Redlog_default |
unsat ✅
|
11.83520
|
11.83610
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
unsat ✅
|
0.01505
|
0.01502
|
| |
Z3 |
z3-4.8.17_default |
unsat ✅
|
0.02048
|
0.02234
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.29240
|
0.29246
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
0.04466
|
0.04522
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unsat ✅
|
0.13632
|
0.13638
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.02008
|
0.00710
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.03589
|
0.03583
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.01240
|
0.01234
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.02518
|
0.02541
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28772
|
0.28776
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.28863
|
0.28867
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
0.32005
|
0.19352
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.44698
|
0.43794
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.28237
|
0.16160
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.29652
|
0.16607
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.60508
|
0.48930
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.29725
|
0.16283
|
| |
|
z3siri-base |
unsat ✅
|
0.28809
|
0.16587
|