Benchmark
non-incremental/QF_NRA/20211101-Geogebra/IsoRightTriangle-Bottema1_8b.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-Bottema1.8b:
Comparison of Expressions Related to Triangle Sides via realgeom, Bottema 1.8 (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 b (a + b) + b c(b + c) + c a(c + a) and (a + b - c) (b + c - a) (c + a - b).
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1668 |
| Compressed Size | 762 |
| 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 | 1658 |
| Compressed Size | 766 |
| 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 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.03276
|
0.03325
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.10432
|
0.10436
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02264
|
0.00638
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
142.41300
|
142.38500
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01476
|
0.01473
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02396
|
0.02419
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28591
|
0.28597
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.29553
|
0.29563
|
|
SMT-COMP 2024
|
0.40 (3/5) |
cvc5 |
cvc5 |
sat ✅
|
0.22964
|
0.12991
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43384
|
0.46971
|
| |
SMT-RAT |
SMT-RAT |
unknown ❌
|
1201.73613
|
1201.13431
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.22246
|
0.12278
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.26662
|
0.16716
|