Benchmark
non-incremental/QF_NRA/20211101-Geogebra/IsoTriangle-Bottema1_1a.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-Bottema1.1a:
Comparison of Expressions Related to Triangle Sides via RealGeom, Bottema 1.1 (isosceles triangle, ver. a):Let A, B be arbitrary points. Let c be the segment A, B. Let d be the circle through B with center A. Let C be a point on d. Let a be the segment B, C. Compare (a + 2c)^2 and 2a c + c^2.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1200 |
| Compressed Size | 647 |
| 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 | 1190 |
| Compressed Size | 637 |
| Max. Term Depth | 5 |
| 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 ✅
|
0.29711
|
0.17348
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43980
|
0.40673
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.24327
|
0.13172
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.25415
|
0.13522
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.56350
|
0.45163
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.31441
|
0.18428
|
| |
|
z3siri-base |
sat ✅
|
0.27292
|
0.15036
|