Benchmark
non-incremental/QF_NRA/20211101-Geogebra/IsoTriangle-Bottema8_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-Bottema8.1a:
Comparison of Sums of Medians and Perimeter via RealGeom, Bottema 8.1 (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. Let D be the midpoint of a. Let m_a be the segment A, D. Let E be the midpoint of c. Let m_c be the segment C, E. Compare m_a + 2m_c and a + 2c.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
| Size | 1530 |
| Compressed Size | 725 |
| 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 | 1520 |
| Compressed Size | 724 |
| Max. Term Depth | 5 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 7 |
| 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
|
0.33 (4/6) |
cvc5 |
cvc5 |
unknown ❌
|
1201.78492
|
1201.05722
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.47012
|
0.45410
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.32236
|
0.20503
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.27164
|
0.15067
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.59784
|
0.50038
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.31046
|
0.17669
|
| |
|
z3siri-base |
sat ✅
|
0.27131
|
0.14861
|