Benchmark
non-incremental/QF_NRA/20211101-Geogebra/IsoRightTriangle-Bottema1_14a.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-Bottema1.14a:
Comparison of Expressions Related to Triangle Sides via realgeom, Bottema 1.14 (isosceles right triangle, ver. a):Let C, A be arbitrary points. Let b be the segment C, A. Let d be the circle through A with center C. Let f be the line through C perpendicular to b. Let B be the intersection point of d, f. Let c be the segment B, A. Let a be the segment B, 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 | 1517 |
| Compressed Size | 716 |
| 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 | 1507 |
| Compressed Size | 718 |
| 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 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.29455
|
0.17355
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.45794
|
0.43442
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.28980
|
0.16338
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.29623
|
0.16542
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.59584
|
0.47822
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.28760
|
0.17271
|
| |
|
z3siri-base |
sat ✅
|
0.30251
|
0.17460
|