Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node1479.smt2

These benchmarks used in the paper:

  Dejan Jovanovic and Leonardo de Moura.  Solving Non-Linear Arithmetic.
  In IJCAR 2012, published as LNCS volume 7364, pp. 339--354.

The keymaera family contains VCs from Keymaera verification, see:

  A. Platzer, J.-D. Quesel, and P. Rummer.  Real world verification.
  In CADE 2009, pages 485-501. Springer, 2009.

Submitted by Dejan Jovanovic for SMT-LIB.

 KeYmaera example: intersection-example-onelane.proof, node 1479 For more info see: @see "Sarah M. Loos and Andre Platzer. Safe intersections: At the crossing of hybrid systems and verification. In Kyongsu Yi, editor, 14th International IEEE Conference on Intelligent Transportation Systems, ITSC 2011, Washington, DC, USA, Proceedings. 2011."
Benchmark
Size1947
Compressed Size842
License Creative Commons Attribution 4.0 International (CC-BY-4.0)
Categoryindustrial
First Occurrence2014-07-21
Generated By
Generated On
Generator
Dolmen OK1
strict Dolmen OK1
check-sat calls1
Query 1
Status unsat
Inferred Status unsat
Size 1939
Compressed Size847
Max. Term Depth21
Asserts 1
Declared Functions0
Declared Constants13
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 or1 and16 =>2
=4 exists1 let1 Real1
+2 *2 <1 <=7
>3 >=5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.67 (1/3) CVC3 CVC3 default unknown ❌ 0.00909 0.00800
CVC4 CVC4 f7118b2 default unknown ❌ 0.07676 0.06099
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.02234 0.01400
SMT-COMP 2015 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00858 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01232 0.01000
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01213 0.00900
Z3 z3 4.4.0 default unsat ✅ 0.03976 0.03999
SMT-COMP 2016 CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.01191 0.01209
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.06401 0.06445
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.06402 0.04045
Z3 z3-4.4.1 default unsat ✅ 0.03821 0.03939
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01416 0.01338
Redlog Redlog default unsat ✅ 0.15281 0.15168
Vampire vampire4.2-smt vampire unsat ✅ 0.04469 0.04067
veriT veriT+Redlog_20170618 default unsat ✅ 0.14597 0.14629
Z3 z3-4.5.0 default unsat ✅ 0.04149 0.04069
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.02001 0.02014
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.61218 2.13000
Z3 z3-4.7.1_default unsat ✅ 0.03632 0.03628
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.01966 0.01999
Par4 Par4-wrapped-sq_default unsat ✅ 0.02817 0.00592
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.48657 3.45756
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.35138 3.40195
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.16783 0.09926
vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.57318 2.06000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.03872 0.03875
z3-4.7.1_default unsat ✅ 0.03748 0.03742
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.01916 0.01946
Par4 Par4-wrapped-sq_default unsat ✅ 0.03173 0.00655
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.34459 3.48937
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.06215 0.05925
Z3 z3-4.8.8_default unsat ✅ 0.03335 0.03332
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.02840 0.02880
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 2.91166 5.00346
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.10724 0.09819
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04826 0.04828
Z3 z3-4.8.17_default unsat ✅ 0.02013 0.02192
z3-4.8.11_default unsat ✅ 0.01852 0.01845
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.02225 0.02268
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65000 1.00000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 2.84269 5.04982
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.09952 0.10114
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04656 0.04658
Z3 z3-4.8.11_default unsat ✅ 0.01891 0.01884
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.23497 0.12685
iProver iProver v3.9 unsat ✅ 0.86045 1.36744
SMTInterpol SMTInterpol unsat ✅ 0.50173 0.65825
SMT-RAT SMT-RAT unsat ✅ 0.24724 0.14657
YicesQS YicesQS unsat ✅ 0.24014 0.14068
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.30316 0.17144
iProver iProver v3.9.3 unsat ✅ 0.92699 1.38897
SMTInterpol SMTInterpol unsat ✅ 0.55587 0.66255
SMT-RAT SMT-RAT unsat ✅ 0.28001 0.15691
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 2.10573 4.67718
YicesQS YicesQS unsat ✅ 0.27901 0.15816
Z3alpha Z3-alpha unsat ✅ 0.39319 0.27894
Z3 Z3-alpha-base unsat ✅ 0.31843 0.18642