Benchmark
non-incremental/QF_NRA/20211101-Geogebra/RightTriangle-Bottema5_3a.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-Bottema5.3a:
Comparison of Circumradius and Perimeter via realgeom, Bottema 5.3 (right triangle, ver. a):Let A, B be arbitrary points. Let c be the segment A, B. Let O be the midpoint of c. Let d be the circle through B with center O. Let C be a point on d. Let b be the segment A, C. Let a be the segment C, B. Let R be the segment O, C. Compare a + b + c and segment O, C.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1508 |
| Compressed Size | 694 |
| 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 | 1498 |
| Compressed Size | 697 |
| 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
|
0.22 (7/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
4.77181
|
4.77190
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.05000
|
1199.92000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
4.63670
|
4.63598
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03254
|
0.00740
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.23549
|
0.23546
|
| |
veriT |
veriT+raSAT+Redlog_default |
unknown ❌
|
1200.11000
|
1200.06000
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01551
|
0.01549
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02093
|
0.02283
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28994
|
0.29001
|
|
SMT-COMP 2024
|
0.40 (3/5) |
cvc5 |
cvc5 |
unknown ❌
|
1201.72204
|
1200.79453
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43563
|
0.44743
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.25525
|
0.15544
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.21998
|
0.12025
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.26608
|
0.16658
|
|
SMT-COMP 2025
|
0.33 (4/6) |
cvc5 |
cvc5 |
unknown ❌
|
1201.75730
|
1200.92284
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.44808
|
0.43503
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.25680
|
0.13861
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.29122
|
0.16728
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.59412
|
0.48465
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.31546
|
0.18904
|
| |
|
z3siri-base |
sat ✅
|
0.30406
|
0.16868
|