Benchmark
non-incremental/QF_NRA/20211101-Geogebra/IsoRightTriangle-Bottema1_6b.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-Bottema1.6b:
Comparison of Expressions Related to Triangle Sides via realgeom, Bottema 1.6 (isosceles right triangle, ver. b):Let A, B be arbitrary points. Let c be the segment A, B. Let M be the midpoint of c. Let d be the circle through B with center M. Let f be the line through M perpendicular to c. Let C be the intersection point of d, f. Let a be the segment C, B. Let b be the segment A, C. Compare a^3 + b^3 + c^3 + 3a b c and (a + b + c) (a^2 + b^2 + c^2).
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1639 |
| Compressed Size | 748 |
| 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 | 1629 |
| Compressed Size | 750 |
| 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
|
0.33 (4/6) |
cvc5 |
cvc5 |
sat ✅
|
0.30451
|
0.17381
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43641
|
0.42096
|
| |
SMT-RAT |
SMT-RAT |
unknown ❌
|
1201.31199
|
1201.04467
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.29535
|
0.16876
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.60566
|
0.49698
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.27928
|
0.16298
|
| |
|
z3siri-base |
sat ✅
|
0.29192
|
0.16931
|