Benchmark
non-incremental/QF_NRA/20211101-Geogebra/EulerInequality_IsoTriangle-CircumRadius_InRadius.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.
EulerInequality_IsoTriangle-CircumRadius_InRadius:
Euler's Inequality: Comparison of CircumRadius and InRadius via realgeom (isosceles triangle):Let B_1, B_2 be arbitrary points. Let f be the segment B_1, B_2. Let g be the perpendicular bisector of f. Let A be a point on g. Let t1 be the polygon B_1, B_2, A. Let b_2 be the segment A, B_1. Let d be the circle through B_2 with center B_1. Let D be the intersection point of d, b_2. Let E be the midpoint of D, B_2. Let h be the line B_1, E. Let F be the intersection of g and h. Let H be the intersection of g and f. Let r be the segment F, H. Let i be the perpendicular bisector of B_1A. Let I be the intersection of g and i. Let R be the segment I, A. Compare segment I, A and segment F, H.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1936 |
| Compressed Size | 841 |
| 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 | 1926 |
| Compressed Size | 844 |
| Max. Term Depth | 5 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 8 |
| 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 ✅
|
0.10690
|
0.10743
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.07000
|
1200.00000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.14557
|
0.14542
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.05776
|
0.01051
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.06725
|
0.06723
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
748.65800
|
748.61200
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.18921
|
0.18518
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02229
|
0.02414
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29184
|
0.29192
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.07145
|
0.07201
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.09021
|
0.09028
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.05022
|
0.00635
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.04121
|
0.04118
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.12342
|
0.12339
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02708
|
0.02731
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29414
|
0.29324
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.29294
|
0.29300
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.29318
|
0.17452
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.45555
|
0.43421
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.28662
|
0.16633
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.30233
|
0.17621
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.59994
|
0.50277
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.31398
|
0.18796
|
| |
|
z3siri-base |
sat ✅
|
0.33502
|
0.20128
|