Benchmark
non-incremental/QF_NRA/20211101-Geogebra/Triangle-Bottema1_7.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.
Triangle-Bottema1.7:
Comparison of Expressions Related to Triangle Sides via realgeom (Bottema 1.7):Let A, B, C be arbitrary points. Let t1 be the polygon A, B, C. Let c be the segment A, B. Let a be the segment B, C. Let b be the segment C, A. Compare 1 / 2 (a^2 (b + c - a) + b^2 (a + c - b) + c^2 (a + b - c)) and a b c.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1374 |
| Compressed Size | 661 |
| 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 | 1364 |
| Compressed Size | 659 |
| 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
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.29396
|
0.17277
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43542
|
0.40998
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.28909
|
0.16361
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.29150
|
0.16534
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.58857
|
0.47816
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.27605
|
0.15659
|
| |
|
z3siri-base |
sat ✅
|
0.30032
|
0.17377
|