Benchmark
non-incremental/QF_NRA/20211101-Geogebra/IsoTriangle-Bottema6_1b.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-Bottema6.1b:
Comparison of Sums of Heights and Perimeter via RealGeom, Bottema 6.1 (isosceles triangle, ver. b):Let A, B be arbitrary points. Let c be the segment A, B. Let g be the perpendicular bisector of c. Let C be a point on g. Let b be the segment A, C. Let D be the midpoint of A, B. Let h_c be the segment C, D. Let h be the line through B perpendicular to b. Let E be the intersection of h and b. Let h_b be the segment B, E. Compare 2h_b + h_c and 2b + c.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1641 |
| Compressed Size | 763 |
| 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 | 1631 |
| Compressed Size | 766 |
| 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 ✅
|
709.44200
|
709.34400
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.03000
|
1199.84000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
4.03456
|
4.03418
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01948
|
0.00673
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.08136
|
0.08130
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
86.22730
|
86.21380
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01334
|
0.01330
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02136
|
0.02320
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28760
|
0.28768
|
|
SMT-COMP 2023
|
0.29 (5/7) |
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
unknown ❌
|
1200.01000
|
1198.32000
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
unknown ❌
|
1171.83000
|
1170.16000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01809
|
0.00624
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.16651
|
0.16650
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01177
|
0.01123
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02555
|
0.02578
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28763
|
0.28768
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.29596
|
0.29603
|