Benchmark
non-incremental/QF_NRA/20220314-Uncu/Rational_Function_Proof_Calls_With_Disjunctive_Denominator_Simplifications/DDC_ProveIneq_ISSAC05_FibonacciPoly_b.smt2
Translated to SMT-Lib by Maple SMTLIB package.
Application: CAD calls of SUMCracker-ProveInequality to prove Fibonacci Polynomial Inequality (typo fixed in expression: (x^2-1)-> (x^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)
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 | 2122 |
| Compressed Size | 909 |
| 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 | 2093 |
| Compressed Size | 917 |
| Max. Term Depth | 8 |
| 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 |
- | 1 |
* | 72 |
< | 8 |
<= | 4 |
| |
Evaluations
| Evaluation |
Rating |
Solver |
Variant |
Result |
Wallclock |
CPU Time |
|
SMT-COMP 2023
|
0.14 (6/7) |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unsat ✅
|
903.02300
|
900.48200
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unknown ❌
|
1172.42000
|
1170.29000
|
| |
Par4 |
Par4-wrapped-sq_default |
unsat ✅
|
0.02426
|
0.00643
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
unsat ✅
|
0.27878
|
0.27872
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unsat ✅
|
0.03841
|
0.03834
|
| |
Z3alpha |
z3alpha_default |
unsat ✅
|
0.02763
|
0.02782
|
| |
Z3++ |
z3++0715_default |
unsat ✅
|
0.28681
|
0.28687
|
| |
|
Z3++_sq_0526_default |
unsat ✅
|
0.29236
|
0.29247
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
unsat ✅
|
900.55710
|
900.08896
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.40827
|
0.43394
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.42509
|
0.32549
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.23468
|
0.13511
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.26928
|
0.16988
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
unsat ✅
|
900.38662
|
900.13917
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43125
|
0.41390
|
| |
SMT-RAT |
SMT-RAT |
unsat ✅
|
0.28547
|
0.16514
|
| |
Yices2 |
Yices2 |
unsat ✅
|
0.30923
|
0.18256
|
| |
Z3alpha |
Z3-alpha |
unsat ✅
|
0.60846
|
0.50045
|
| |
Z3 |
Z3-alpha-base |
unsat ✅
|
0.32022
|
0.19021
|
| |
|
z3siri-base |
unsat ✅
|
0.29719
|
0.17382
|