Benchmark
non-incremental/QF_NRA/20211101-Geogebra/IsoTriangle-Perimeter_CircumRadius_b.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_b:
Comparison of Perimeter and CircumRadius via realgeom (isosceles triangle, ver. b):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 D be the intersection point of d, c. Let g be the line through D perpendicular to a. Let A be a point on g. Let b be the segment B_2, A. Let i be the perpendicular bisector of B_2A. Let E be the intersection of g and i. Let R be the segment B_2, E. Compare segment B_2, E and a + 2b.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1833 |
| Compressed Size | 779 |
| 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 | 1823 |
| Compressed Size | 777 |
| Max. Term Depth | 5 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 9 |
| 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 ✅
|
601.01700
|
600.38400
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.04000
|
1199.98000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
5.31053
|
5.31039
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.04636
|
0.01113
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.21581
|
0.21580
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
102.79900
|
102.78700
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.03114
|
0.03112
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02220
|
0.02405
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28324
|
0.28331
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.33901
|
0.21740
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43827
|
0.41394
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.29714
|
0.17084
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.27608
|
0.15197
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.58564
|
0.48021
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.31323
|
0.18736
|
| |
|
z3siri-base |
sat ✅
|
0.26095
|
0.14308
|