Benchmark

non-incremental/QF_NRA/20211101-Geogebra/IsoRightTriangle-Bottema1_4b.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.

IsoRightTriangle-Bottema1.4b:
 Comparison of Expressions Related to Triangle Sides via realgeom, Bottema 1.4 (isosceles right triangle, ver. b):Let A, B be arbitrary points. Let c be the segment A, B. Let M be the midpoint of c. Let d be the circle through B with center M. Let f be the line through M perpendicular to c. Let C be the intersection point of d, f. Let a be the segment C, B. Let b be the segment A, C. Compare (a + b) (b + c) (c + a) and a b c.

This problem was added to SMT-LIB by Tereso del Rio and Matthew England.
Benchmark
Size1440
Compressed Size709
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 1430
Compressed Size712
Max. Term Depth5
Asserts 1
Declared Functions0
Declared Constants5
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

and1 =5 +5 -5
*21 <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 ✅ 0.05055 0.05115
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.02000 1199.84000
NRA-LS NRA-LS-FINAL_default sat ✅ 0.05078 0.05087
Par4 Par4-wrapped-sq_default sat ✅ 0.03431 0.00715
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.05051 0.05047
veriT veriT+raSAT+Redlog_default sat ✅ 0.22161 0.22304
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.01870 0.01865
Z3 z3-4.8.17_default sat ✅ 0.01975 0.02155
Z3++ z3++0715_default sat ✅ 0.28625 0.28633