Benchmark

non-incremental/QF_NRA/20211101-Geogebra/RightTriangle-Bottema1_19b.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.

RightTriangle-Bottema1.19b:
 Comparison of Expressions Related to Triangle Sides via realgeom, Bottema 1.19 (right triangle, ver. b):Let C, B be arbitrary points. Let a be the segment C, B. Let f be the line through C perpendicular to a. Let A be a point on f. Let c be the segment A, B. 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
Size1319
Compressed Size662
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 1309
Compressed Size665
Max. Term Depth6
Asserts 1
Declared Functions0
Declared Constants5
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

and1 =4 +4 -9
*22 <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 ✅ 0.05406 0.05463
MathSAT MathSAT-5.6.8_default unknown ❌ 1200.02000 1199.81000
NRA-LS NRA-LS-FINAL_default sat ✅ 0.09484 0.09490
Par4 Par4-wrapped-sq_default sat ✅ 0.02002 0.00718
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.01799 0.01796
veriT veriT+raSAT+Redlog_default sat ✅ 0.01745 0.01737
Yices2 Yices 2.6.2 for SMTCOMP 2021_default sat ✅ 0.01403 0.01398
Z3 z3-4.8.17_default sat ✅ 0.01926 0.02134
Z3++ z3++0715_default sat ✅ 0.28769 0.28759
SMT-COMP 2023 cvc5 cvc5-default-2023-05-16-ea045f305_sq sat ✅ 0.02758 0.02810
NRA-LS cvc5-NRA-LS-sq_default sat ✅ 0.09434 0.09442
Par4 Par4-wrapped-sq_default sat ✅ 0.02272 0.00652
SMT-RAT SMT-RAT-MCSAT_default sat ✅ 0.01670 0.01669
Yices2 Yices 2 for SMTCOMP 2023_default sat ✅ 0.01125 0.01121
Z3alpha z3alpha_default sat ✅ 0.02299 0.02321
Z3++ z3++0715_default sat ✅ 0.28648 0.28653
Z3++_sq_0526_default sat ✅ 0.29380 0.29381
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 sat ✅ 0.25728 0.15833
SMTInterpol SMTInterpol unknown ❌ 0.44181 0.43713
SMT-RAT SMT-RAT sat ✅ 0.21742 0.11791
Yices2 Yices2 sat ✅ 0.25732 0.15705
Z3alpha Z3-alpha sat ✅ 0.27094 0.17137