Benchmark
non-incremental/QF_NRA/20211101-Geogebra/IsoRightTriangle-Bottema1_14b.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.
IsoRightTriangle-Bottema1.14b:
Comparison of Expressions Related to Triangle Sides via realgeom, Bottema 1.14 (isosceles right triangle, ver. b):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 f be the line through M perpendicular to c. Let C be the intersection point of d, f. Let a be the segment C, B. Let b be the segment A, C. Compare (a + b + c) a^2 b^2 c^2 and a b c(a^2 b^2 + b^2 c^2 + c^2 a^2).
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1569 |
| Compressed Size | 736 |
| 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 | 1559 |
| Compressed Size | 738 |
| Max. Term Depth | 6 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 5 |
| 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 ✅
|
0.02432
|
0.02483
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.02794
|
0.02800
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02131
|
0.00630
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.04212
|
0.04210
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01415
|
0.01412
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02324
|
0.02349
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28528
|
0.28539
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.29923
|
0.29933
|