Benchmark
non-incremental/QF_NRA/20211101-Geogebra/RightTriangle-Bottema1_19a.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.
RightTriangle-Bottema1.19a:
Comparison of Expressions Related to Triangle Sides via realgeom, Bottema 1.19 (right triangle, ver. a):Let A, B be arbitrary points. Let c be the segment A, B. Let M be the midpoint of c. Let d be the circle through B with center M. Let C be a point on d. Let b be the segment A, C. Let a be the segment C, B. Compare a^2 + b^2 + c^2 and (a + b + c)^2.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
| Size | 1456 |
| Compressed Size | 696 |
| 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 | 1446 |
| Compressed Size | 701 |
| Max. Term Depth | 6 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 6 |
| 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 ✅
|
0.31416
|
0.31473
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.32285
|
0.32288
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03197
|
0.00636
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.02033
|
0.02031
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01963
|
0.01960
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02571
|
0.02591
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29117
|
0.29122
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.29036
|
0.29046
|