Benchmark
non-incremental/QF_NRA/20211101-Geogebra/RightTriangle-Bottema1_1b.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.
RightTriangle-Bottema1.1b:
Comparison of Expressions Related to Triangle Sides via realgeom, Bottema 1.1 (right triangle, ver. b):Let C, B be arbitrary points. Let a be the segment C, B. Let f be the line through C perpendicular to a. Let A be a point on f. Let c be the segment A, B. Let b be the segment C, A. Compare (a + b + c)^2 and a b + b c + c a.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1287 |
| Compressed Size | 659 |
| 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 | 1277 |
| Compressed Size | 665 |
| 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 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.22282
|
0.12315
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.41455
|
0.42686
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.29228
|
0.19276
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.21722
|
0.11766
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.26633
|
0.16644
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.29584
|
0.17152
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.39937
|
0.37148
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.25206
|
0.13491
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.28845
|
0.16403
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.60043
|
0.47961
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.31326
|
0.18726
|
| |
|
z3siri-base |
sat ✅
|
0.26601
|
0.14724
|