Benchmark
non-incremental/QF_NRA/20211101-Geogebra/IsoTriangle-Perimeter_InRadius.smt2
The authors Robert Vajda and Zoltan Kovacs released this problem in the paper that can be found in "http://ceur-ws.org/Vol-2752/paper15.pdf". A short description of the problem can be found down below.
IsoTriangle-Perimeter_InRadius:
Comparison of Perimeter and InRadius via realgeom (isosceles triangle):Let B_1, B_2 be arbitrary points. Let f be the segment B_1, B_2. Let g be the perpendicular bisector of f. Let A be a point on g. Let t1 be the polygon B_1, B_2, A. Let a be the segment B_1, B_2. Let b_1 be the segment B_2, A. Let b_2 be the segment A, B_1. Let d be the circle through B_2 with center B_1. Let D be the intersection point of d, b_2. Let E be the midpoint of D, B_2. Let h be the line B_1, E. Let F be the intersection of g and h. Let H be the intersection of g and f. Let r be the segment F, H. Compare b_1 + b_2 + a and segment F, H.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1854 |
| Compressed Size | 796 |
| License |
Creative Commons Attribution 4.0 International
(CC-BY-4.0)
|
| Category | industrial |
| First Occurrence | 2022-08-10 |
| Generated By | — |
| Generated On | — |
| Generator | — |
| Dolmen OK | 1 |
| strict Dolmen OK | 1 |
| check-sat calls | 1 |
| Status | sat |
| Inferred Status | sat |
| Size | 1844 |
| Compressed Size | 800 |
| Max. Term Depth | 5 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 10 |
| 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 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.02884
|
0.02942
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
2.49481
|
2.49492
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01594
|
0.00617
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.16380
|
0.16376
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01079
|
0.00998
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02540
|
0.02561
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28762
|
0.28766
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.28920
|
0.28907
|