Benchmark
non-incremental/QF_NRA/20211101-Geogebra/Triangle-Bottema1_6.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.
Triangle-Bottema1.6:
Comparison of Expressions Related to Triangle Sides via realgeom (Bottema 1.6):Let A, B, C be arbitrary points. Let t1 be the polygon A, B, C. Let c be the segment A, B. Let a be the segment B, C. Let b be the segment C, A. Compare (a + b + c) (a^2 + b^2 + c^2) and a^3 + b^3 + c^3 + 3a b c.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1409 |
| Compressed Size | 675 |
| 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 | 1399 |
| Compressed Size | 673 |
| Max. Term Depth | 6 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 7 |
| 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 ✅
|
0.08151
|
0.08210
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.04000
|
1199.98000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unknown ❌
|
1172.22000
|
1170.15000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03547
|
0.00762
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.05248
|
0.05246
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
5.24585
|
5.24411
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.02440
|
0.02437
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.01936
|
0.02127
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28688
|
0.28695
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
900.39912
|
900.04586
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.42053
|
0.42099
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.38869
|
0.28905
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.22850
|
0.12861
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.27102
|
0.17139
|