Benchmark
non-incremental/QF_NRA/20211101-Geogebra/Triangle-Bottema1_19.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-Bottema1.19:
Comparison of Expressions Related to Triangle Sides via realgeom (Bottema 1.19):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^2 + b^2 + c^2 and (a + b + c)^2.
This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
| Benchmark |
|---|
| Size | 1352 |
| Compressed Size | 645 |
| 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 | 1342 |
| Compressed Size | 649 |
| 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
|
0.11 (8/9) |
cvc5 |
cvc5-default-2022-07-02-b15e116-wrapped_sq |
sat ✅
|
0.07030
|
0.07087
|
| |
MathSAT |
MathSAT-5.6.8_default |
unknown ❌
|
1200.02000
|
1199.81000
|
| |
NRA-LS |
NRA-LS-FINAL_default |
sat ✅
|
0.31398
|
0.31403
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.03619
|
0.00916
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.03403
|
0.03401
|
| |
veriT |
veriT+raSAT+Redlog_default |
sat ✅
|
0.20768
|
0.20917
|
| |
Yices2 |
Yices 2.6.2 for SMTCOMP 2021_default |
sat ✅
|
0.01618
|
0.01521
|
| |
Z3 |
z3-4.8.17_default |
sat ✅
|
0.02070
|
0.02257
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28800
|
0.28806
|
|
SMT-COMP 2023
|
|
cvc5 |
cvc5-default-2023-05-16-ea045f305_sq |
sat ✅
|
0.03414
|
0.03460
|
| |
NRA-LS |
cvc5-NRA-LS-sq_default |
sat ✅
|
0.22038
|
0.22049
|
| |
Par4 |
Par4-wrapped-sq_default |
sat ✅
|
0.02303
|
0.00645
|
| |
SMT-RAT |
SMT-RAT-MCSAT_default |
sat ✅
|
0.02906
|
0.02904
|
| |
Yices2 |
Yices 2 for SMTCOMP 2023_default |
sat ✅
|
0.01378
|
0.01374
|
| |
Z3alpha |
z3alpha_default |
sat ✅
|
0.02330
|
0.02351
|
| |
Z3++ |
z3++0715_default |
sat ✅
|
0.28283
|
0.28288
|
| |
|
Z3++_sq_0526_default |
sat ✅
|
0.29449
|
0.29450
|
|
SMT-COMP 2025
|
0.17 (5/6) |
cvc5 |
cvc5 |
sat ✅
|
0.29403
|
0.17343
|
| |
SMTInterpol |
SMTInterpol |
unknown ❌
|
0.44993
|
0.43827
|
| |
SMT-RAT |
SMT-RAT |
sat ✅
|
0.29456
|
0.16494
|
| |
Yices2 |
Yices2 |
sat ✅
|
0.25864
|
0.13905
|
| |
Z3alpha |
Z3-alpha |
sat ✅
|
0.60491
|
0.49020
|
| |
Z3 |
Z3-alpha-base |
sat ✅
|
0.27898
|
0.15930
|
| |
|
z3siri-base |
sat ✅
|
0.30086
|
0.17380
|