Benchmark
non-incremental/QF_NRA/20211101-Geogebra/IsoRightTriangle-Bottema1_12a.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-Bottema1.12a:
Comparison of Expressions Related to Triangle Sides via realgeom, Bottema 1.12 (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)^3 (a + b - c) (b + c - a) (c + a - b) and a^2 b^2 c^2.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 2152 |
| Compressed Size | 835 |
| 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 | 2142 |
| Compressed Size | 842 |
| 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 ✅
|
0.28076
|
0.16175
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.46810
|
0.47615
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.28933
|
0.16263
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.25877
|
0.13923
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.59907
|
0.48356
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.27504
|
0.15823
|
| |
|
z3siri-base |
sat ✅
|
0.29384
|
0.17280
|