Benchmark
non-incremental/QF_NRA/20211101-Geogebra/IsoTriangle-Median_Perimeter_a2.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-Median_Perimeter_a2:
Comparison of Medians and Perimeter via realgeom (Isosceles Triangle, ver. a2) :Let B_2, B_1 be arbitrary points. Let a be the segment B_2, B_1. Let g be the perpendicular bisector of a. Let A be a point on g. Let b be the segment B_2, A. Let D be the midpoint of B_2, B_1. Let E be the midpoint of B_2, A. Let m_a be the segment A, D. Let m_b be the segment E, B_1. Compare a + 2b and m_a + 2m_b.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1396 |
| Compressed Size | 679 |
| 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 | 1386 |
| Compressed Size | 680 |
| Max. Term Depth | 5 |
| Asserts | 1 |
| Declared Functions | 0 |
| Declared Constants | 6 |
| 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
|
0.33 (6/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
unknown ❌
|
1200.03000
|
1196.81000
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.03000
|
1199.73000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
unknown ❌
|
1174.52000
|
1170.49000
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.04935
|
0.00784
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
776.76300
|
776.72700
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.11900
|
0.11893
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01375
|
0.01242
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.03937
|
0.04032
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.29527
|
0.29535
|
|
SMT-COMP 2024
|
0.40 (3/5) |
cvc5 |
cvc5 |
unknown ❌
|
1201.73712
|
1200.78050
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.42700
|
0.43178
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.25139
|
0.15039
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.21876
|
0.11930
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.26908
|
0.16966
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.31256
|
0.19818
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.46766
|
0.43644
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.29849
|
0.16918
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.28888
|
0.16246
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.59653
|
0.48412
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.31091
|
0.18228
|
| |
|
z3siri-base |
sat ✅
|
0.28445
|
0.16358
|