Benchmark
non-incremental/QF_NRA/20211101-Geogebra/IsoTriangle-Bottema5_3a.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-Bottema5.3a:
Comparison of Circumradius and Perimeter via RealGeom, Bottema 5.3 (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 e be the segment A, C. Let f be the perpendicular bisector of c. Let g be the perpendicular bisector of e. Let O be the intersection of g and f. Let R be the segment A, O. Compare a + 2c and segment A, O.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1576 |
| Compressed Size | 731 |
| 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 | 1566 |
| Compressed Size | 737 |
| Max. Term Depth | 5 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 8 |
| 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 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
902.05400
|
900.45000
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.13325
|
0.13333
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02654
|
0.00639
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.03036
|
0.03035
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01726
|
0.01720
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.03869
|
0.03878
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.30001
|
0.30005
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.30771
|
0.30777
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
900.36231
|
900.10642
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.42945
|
0.42651
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.37423
|
0.24162
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.27466
|
0.14582
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.60203
|
0.48560
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.30599
|
0.18580
|
| |
|
z3siri-base |
sat ✅
|
0.30264
|
0.17329
|