Benchmark
non-incremental/QF_NRA/20211101-Geogebra/IsoRightTriangle-Bottema1_6a.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-Bottema1.6a:
Comparison of Expressions Related to Triangle Sides via realgeom, Bottema 1.6 (isosceles right triangle, ver. a):Let C, A be arbitrary points. Let b be the segment C, A. Let d be the circle through A with center C. Let f be the line through C perpendicular to b. Let B be the intersection point of d, f. Let c be the segment B, A. Let a be the segment B, 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 | 1587 |
| Compressed Size | 736 |
| 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 | 1577 |
| Compressed Size | 727 |
| 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 2022
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.07229
|
0.07273
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.05000
|
1200.04000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.05669
|
0.05676
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03892
|
0.01193
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.01253
|
0.01170
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.33881
|
0.34028
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01550
|
0.01491
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.01962
|
0.02174
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29026
|
0.29034
|