Benchmark

non-incremental/QF_NRA/20211101-Geogebra/IsoTriangle-Perimeter_CircumRadius_a.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-Perimeter_CircumRadius_a:
 Comparison of Perimeter and CircumRadius via realgeom (isosceles triangle, ver. a):Let B_2, B_1 be arbitrary points. Let a be the segment B_2, B_1. Let D be the midpoint of B_2, B_1. Let g be the line through D perpendicular to a. Let A be a point on g. Let b be the segment B_2, A. Let E be the midpoint of B_2, A. Let i be the line through E perpendicular to b. Let F be the intersection of i and g. Let R be the segment B_2, F. Compare segment B_2, F and a + 2b.

This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
Benchmark
Size1547
Compressed Size720
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 1537
Compressed Size722
Max. Term Depth5
Asserts 1
Declared Functions0
Declared Constants7
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

and1 =6 +6 -9
*20 <4

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 ✅ 0.04456 0.04508
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.06000 1199.95000
NRA-LS NRA-LS-FINAL_default sat ✅ 0.04076 0.04082
Par4 Par4-wrapped-sq_default sat ✅ 0.02034 0.00803
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.03748 0.03744
veriT veriT+raSAT+Redlog_default sat ✅ 2.05172 2.05141
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.02918 0.01206
Z3 z3-4.8.17_default sat ✅ 0.02183 0.02374
Z3++ z3++0715_default sat ✅ 0.29124 0.29133