Benchmark
non-incremental/QF_NRA/20211101-Geogebra/Triangle-Bottema1_23.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-Bottema1.23:
Comparison of Expressions Related to Triangle Sides via realgeom (Bottema 1.23):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)^3 + 3a b c and a b(a + b) + b c(b + c) + c a(c + a).
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1524 |
| Compressed Size | 693 |
| 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 | 1514 |
| Compressed Size | 696 |
| 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 ✅
|
0.08987
|
0.09030
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.07000
|
1199.95000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unknown ❌
|
1171.91000
|
1170.30000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03474
|
0.00653
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
29.77130
|
29.75640
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.04813
|
0.04807
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01669
|
0.01665
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.01979
|
0.02167
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.32872
|
0.32398
|
|
SMT-COMP 2024
|
0.20 (4/5) |
cvc5 |
cvc5 |
sat ✅
|
0.23835
|
0.13870
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.44091
|
0.45819
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.22089
|
0.12110
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.21879
|
0.11905
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.26664
|
0.16705
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.31160
|
0.18209
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.43900
|
0.40848
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.28045
|
0.16128
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.28650
|
0.16264
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.58549
|
0.47700
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.32052
|
0.18870
|
| |
|
z3siri-base |
sat ✅
|
0.28860
|
0.16889
|