Benchmark
non-incremental/QF_NRA/20211101-Geogebra/RightTriangle-Bottema6_1a.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-Bottema6.1a:
Comparison of Sum of Heights and Perimeter via realgeom, Bottema 6.1 (right triangle, ver. a):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 C be a point on d. Let b be the segment A, C. Let a be the segment C, B. Let f be the line through C perpendicular to c. Let D be the intersection of f and c. Let h_c be the segment C, D. Compare a + b + h_c and a + b + c.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1627 |
| Compressed Size | 733 |
| 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 | 1617 |
| Compressed Size | 733 |
| 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 2023
|
0.14 (6/7) |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.02848
|
0.02899
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.05280
|
0.05273
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.06060
|
0.00661
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.33544
|
0.33541
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
unknown ❌
|
1200.02000
|
1199.94000
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.03735
|
0.03742
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29724
|
0.29729
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.30723
|
0.30731
|
|
SMT-COMP 2025
|
0.50 (3/6) |
cvc5 |
cvc5 |
unknown ❌
|
1201.76512
|
1200.97627
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.44874
|
0.43225
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.31169
|
0.18771
|
| |
Yices2 |
Yices2 |
unknown ❌
|
1201.25447
|
1201.00653
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.59544
|
0.49560
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.31418
|
0.18794
|
| |
|
z3siri-base |
sat ✅
|
0.26479
|
0.14705
|