Benchmark
non-incremental/QF_NRA/20211101-Geogebra/IsoRightTriangle-Bottema1_19b.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.
IsoRightTriangle-Bottema1.19b:
Comparison of Expressions Related to Triangle Sides via realgeom, Bottema 1.19 (isosceles right triangle, ver. b):Let A, B be arbitrary points. Let c be the segment A, B. Let M be the midpoint of c. Let d be the circle through B with center M. Let f be the line through M perpendicular to c. Let C be the intersection point of d, f. Let a be the segment C, B. Compare 2a^2 + c^2 and (2a + c)^2.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1284 |
| Compressed Size | 673 |
| 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 | 1274 |
| Compressed Size | 670 |
| Max. Term Depth | 6 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 4 |
| 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 ✅
|
0.03029
|
0.03088
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.04000
|
1200.01000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.02342
|
0.02347
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.01929
|
0.00641
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.01274
|
0.01014
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.01409
|
0.00903
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.02168
|
0.01442
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.01896
|
0.02084
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.35554
|
0.35215
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.02254
|
0.02308
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.02226
|
0.02231
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02070
|
0.00634
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.01321
|
0.01318
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01331
|
0.01327
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02308
|
0.02312
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28309
|
0.28295
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.29697
|
0.29702
|