Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node34026.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 34026 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
Size1900
Compressed Size855
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 1892
Compressed Size861
Max. Term Depth20
Asserts 1
Declared Functions0
Declared Constants12
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 or1 and14 =>2
=2 exists1 let2 Real1
/1 +3 -1 *4
<=6 >4 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.01974 0.00800
CVC4 CVC4 f7118b2 default unsat ✅ 0.03667 0.02499
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.02420 0.01600
SMT-COMP 2015 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00853 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01321 0.01100
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01295 0.01000
Z3 z3 4.4.0 default unsat ✅ 0.03978 0.03999
SMT-COMP 2016 CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.01346 0.01366
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.05474 0.05513
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.08871 0.04053
Z3 z3-4.4.1 default unsat ✅ 0.03989 0.04116
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01575 0.01520
Redlog Redlog default unsat ✅ 0.15274 0.15620
Vampire vampire4.2-smt vampire unsat ✅ 0.05247 0.04080
veriT veriT+Redlog_20170618 default unsat ✅ 0.14854 0.14951
Z3 z3-4.5.0 default unsat ✅ 0.04215 0.04170
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.01879 0.01899
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.79570 2.88000
Z3 z3-4.7.1_default unsat ✅ 0.04119 0.04114
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.02119 0.02152
Par4 Par4-wrapped-sq_default unsat ✅ 0.02752 0.00558
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.31639 3.48311
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.38177 3.46477
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.40410 0.58210
vampire-4.3-smt_vampire_smtcomp unsat ✅ 14.64340 58.00000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.04190 0.04190
z3-4.7.1_default unsat ✅ 0.04161 0.04156
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.01951 0.01981
Par4 Par4-wrapped-sq_default unsat ✅ 0.03090 0.00764
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.62644 3.89270
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.05748 0.05631
Z3 z3-4.8.8_default unsat ✅ 0.03415 0.03410
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.02032 0.02053
cvc5 cvc5-fixed_default unsat ✅ 0.02283 0.02335
Par4 Par4-wrapped-sq_default unsat ✅ 0.02912 0.00619
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 3.22914 11.89380
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.05912 0.05902
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.03302 0.03301
Z3 z3-4.8.11_default unsat ✅ 0.01857 0.01855
z3-4.8.8_default unsat ✅ 0.03439 0.03431
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.03022 0.03079
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 3.05710 4.96398
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.11326 0.10211
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03832 0.03837
Z3 z3-4.8.17_default unsat ✅ 0.01941 0.02118
z3-4.8.11_default unsat ✅ 0.02207 0.01945
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.02311 0.02363
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65009 1.07410
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 2.99209 5.05850
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.06800 0.06791
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03244 0.03245
Z3 z3-4.8.11_default unsat ✅ 0.01885 0.01879
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.25055 0.14459
iProver iProver v3.9 unsat ✅ 0.87433 1.66981
SMTInterpol SMTInterpol unsat ✅ 0.53258 0.69789
SMT-RAT SMT-RAT unsat ✅ 0.24529 0.14494
YicesQS YicesQS unsat ✅ 0.23998 0.13975
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.29010 0.17068
iProver iProver v3.9.3 unsat ✅ 0.87604 1.81037
SMTInterpol SMTInterpol unsat ✅ 0.53875 0.64945
SMT-RAT SMT-RAT unsat ✅ 0.33000 0.17026
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 2.14325 4.65143
YicesQS YicesQS unsat ✅ 0.30322 0.17700
Z3alpha Z3-alpha unsat ✅ 0.36228 0.25647
Z3 Z3-alpha-base unsat ✅ 0.30882 0.18458