Benchmark
non-incremental/QF_NRA/20211101-Geogebra/RightTriangle-Bottema8_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-Bottema8.1a:
Comparison of Sum of Medians and Perimeter via realgeom, Bottema 8.1 (right triangle, ver. a):Let A, B be arbitrary points. Let c be the segment A, B. Let M_1 be the midpoint of c. Let d be the circle through B with center M_1. Let C be a point on d. Let b be the segment A, C. Let a be the segment C, B. Let m_c be the segment M_1, C. Let M_2 be the midpoint of b. Let M_3 be the midpoint of a. Let m_a be the segment A, M_3. Let m_b be the segment B, M_2. Compare m_a + m_b + m_c and a + b + c.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1921 |
| Compressed Size | 800 |
| 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 | 1911 |
| Compressed Size | 799 |
| 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
|
0.44 (5/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unknown ❌
|
1200.09000
|
1194.77000
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.06000
|
1200.05000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unknown ❌
|
1181.57000
|
1170.98000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.07663
|
0.00952
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
3.26165
|
3.26141
|
| |
veriT |
veriT+raSAT+Redlog_default |
unknown ❌
|
1200.12000
|
1199.93000
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.05532
|
0.05524
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.03392
|
0.03583
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29991
|
0.29997
|
|
SMT-COMP 2024
|
0.40 (3/5) |
cvc5 |
cvc5 |
sat ✅
|
0.25182
|
0.15240
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.45006
|
0.47427
|
| |
SMT-RAT |
SMT-RAT |
unknown ❌
|
1201.71193
|
1201.11034
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.24156
|
0.14184
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.27649
|
0.17675
|