Benchmark
non-incremental/QF_NRA/20211101-Geogebra/IsoTriangle-Perimeter_CircumRadius_c.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-Perimeter_CircumRadius_c:
Comparison of Perimeter and CircumRadius via realgeom (isosceles triangle, ver. c):Let B_2, B_1 be arbitrary points. Let a be the segment B_2, B_1. Let c be the circle through B_1 with center B_2. Let d be the circle through B_2 with center B_1. Let E be the intersection point of c, d. Let g be the line through E perpendicular to a. Let A be a point on g. Let b be the segment B_2, A. Let e be the circle through A with center B_2. Let k be the circle through B_2 with center A. Let F be the intersection point of e, k. Let i be the line through F perpendicular to b. Let H be the intersection of g and i. Let R be the segment B_2, H. Compare a + 2b and segment B_2, H.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 2293 |
| Compressed Size | 860 |
| 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 | unknown |
| Inferred Status | sat |
| Size | 2283 |
| Compressed Size | 852 |
| Max. Term Depth | 5 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 11 |
| 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
|
0.29 (5/7) |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unknown ❌
|
1200.03000
|
1196.83000
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unknown ❌
|
1200.02000
|
1175.07000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.04039
|
0.00776
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
2.26147
|
2.26106
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.02414
|
0.02411
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.10835
|
0.10854
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.30859
|
0.30866
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.31589
|
0.31587
|
|
SMT-COMP 2024
|
0.40 (3/5) |
cvc5 |
cvc5 |
unknown ❌
|
1201.71363
|
1200.79605
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43244
|
0.45967
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.72643
|
0.62623
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.22525
|
0.12562
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
108.79675
|
108.68905
|
|
SMT-COMP 2025
|
0.50 (3/6) |
cvc5 |
cvc5 |
unknown ❌
|
1201.80194
|
1201.03826
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43456
|
0.43281
|
| |
SMT-RAT |
SMT-RAT |
unknown ❌
|
1201.24698
|
1201.01059
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.30513
|
0.17396
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.63873
|
0.59778
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
18.29923
|
18.17489
|
| |
|
z3siri-base |
sat ✅
|
18.30037
|
18.16821
|