Benchmark

non-incremental/QF_NRA/20211101-Geogebra/Triangle-Bottema5_3.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-Bottema5.3:
 Comparison of Expressions Related to Triangle Circumradius via realgeom (Bottema 5.3):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. Let f be the perpendicular bisector of c. Let g be the perpendicular bisector of b. Let O be the intersection of f and g. Let R be the segment A, O. Compare a + b + c and segment A, O.

This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
Benchmark
Size1632
Compressed Size713
License Creative Commons Attribution 4.0 International (CC-BY-4.0)
Categoryindustrial
First Occurrence2022-08-10
Generated By
Generated On
Generator
Dolmen OK1
strict Dolmen OK1
check-sat calls1
Query 1
Status sat
Inferred Status sat
Size 1622
Compressed Size715
Max. Term Depth5
Asserts 1
Declared Functions0
Declared Constants10
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

and1 =8 +8 -10
*24 <5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2023 0.14 (6/7) cvc5 cvc5-default-2023-05-16-ea045f305_sq unknown ❌ 1200.03000 1199.15000
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.33740 0.33748
Par4 Par4-wrapped-sq_default sat ✅ 0.03417 0.00729
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.05892 0.05888
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.02151 0.02148
Z3alpha z3alpha_default sat ✅ 0.07381 0.07402
Z3++ z3++0715_default sat ✅ 25.95190 25.95150
Z3++_sq_0526_default sat ✅ 25.95910 25.95610
SMT-COMP 2024 0.40 (3/5) cvc5 cvc5 unknown ❌ 1201.72100 1201.09866
SMTInterpol SMTInterpol unknown ❌ 0.45352 0.47479
SMT-RAT SMT-RAT sat ✅ 5.89188 5.79119
Yices2 Yices2 sat ✅ 0.21775 0.11782
Z3alpha Z3-alpha sat ✅ 0.27927 0.17997