Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node43393.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 43393 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
Size2241
Compressed Size926
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 2233
Compressed Size939
Max. Term Depth22
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
=2 exists1 let2 Real1
/3 +6 -1 *11
<2 <=6 >5 >=5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.67 (1/3) CVC3 CVC3 default unknown ❌ 0.01630 0.00800
CVC4 CVC4 f7118b2 default unknown ❌ 0.20692 0.19797
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.17723 0.17697
SMT-COMP 2015 1.00 (0/3) CVC3 CVC3 default unknown ❌ 0.00872 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 2400.01000 2400.88000
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 360.49400 360.59100
Z3 z3 4.4.0 default unknown ❌ 0.34710 0.34695
SMT-COMP 2016 0.67 (1/3) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.21958 0.22018
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.18996 0.19104
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.19180 0.25968
Z3 z3-4.4.1 default unknown ❌ 0.40319 0.40465
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 1.07394 1.07355
Redlog Redlog default unsat ✅ 0.17503 0.17721
Vampire vampire4.2-smt vampire unsat ✅ 1.34568 5.25000
veriT veriT+Redlog_20170618 default unsat ✅ 0.23538 0.23803
Z3 z3-4.5.0 default unsat ✅ 0.04785 0.04644
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.10655 0.10678
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 1012.19000 4027.30000
Z3 z3-4.7.1_default unsat ✅ 0.18450 0.18425
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.14545 0.14575
Par4 Par4-wrapped-sq_default unsat ✅ 0.06966 0.00634
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.29255 3.43372
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.47893 3.48629
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 33.79210 134.01000
vampire-4.3-smt_vampire_smtcomp unsat ✅ 1012.63000 4023.63000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.09656 0.09653
z3-4.7.1_default unsat ✅ 0.06201 0.06193
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.10782 0.10809
Par4 Par4-wrapped-sq_default unsat ✅ 0.10785 0.00678
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.30207 3.47844
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.90918 2.81528
Z3 z3-4.8.8_default unsat ✅ 0.03621 0.03616
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.13260 0.13293
cvc5 cvc5-fixed_default unsat ✅ 0.18333 0.18395
Par4 Par4-wrapped-sq_default unsat ✅ 0.13623 0.00624
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.03000 1203.90000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.13746 0.13915
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.05342 0.05344
Z3 z3-4.8.11_default unsat ✅ 0.02154 0.02149
z3-4.8.8_default unsat ✅ 0.03811 0.03803
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.07131 0.07190
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 1200.08000 1203.75000
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.26004 0.25146
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03689 0.03690
Z3 z3-4.8.17_default unsat ✅ 0.03018 0.03284
z3-4.8.11_default unsat ✅ 0.02105 0.02102
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.05431 0.05486
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65130 1.96000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 1200.02000 1204.04000
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.19648 0.14390
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03711 0.03712
Z3 z3-4.8.11_default unsat ✅ 0.02037 0.02034
SMT-COMP 2024 0.20 (4/5) cvc5 cvc5 unsat ✅ 0.24493 0.13901
iProver iProver v3.9 unsat ✅ 13.41646 47.30769
SMTInterpol SMTInterpol unknown ❌ 0.58431 0.99626
SMT-RAT SMT-RAT unsat ✅ 0.49339 0.39358
YicesQS YicesQS unsat ✅ 0.23862 0.13945
SMT-COMP 2025 0.25 (6/8) cvc5 cvc5 unsat ✅ 0.31510 0.18839
iProver iProver v3.9.3 unsat ✅ 14.97895 53.51769
SMTInterpol SMTInterpol unknown ❌ 0.55781 0.84933
SMT-RAT SMT-RAT unsat ✅ 0.27774 0.15702
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1201.75225 1204.73189
YicesQS YicesQS unsat ✅ 0.29843 0.17595
Z3alpha Z3-alpha unsat ✅ 0.40481 0.33287
Z3 Z3-alpha-base unsat ✅ 0.29465 0.16402