Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node3855.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 3855 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
Size1978
Compressed Size854
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 1970
Compressed Size859
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
=3 exists1 let2 Real1
+2 -1 *2 <2
<=6 >3 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.67 (1/3) CVC3 CVC3 default unknown ❌ 0.01659 0.00800
CVC4 CVC4 f7118b2 default unknown ❌ 0.07856 0.06299
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.02622 0.01800
SMT-COMP 2015 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00856 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01255 0.01000
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01238 0.00900
Z3 z3 4.4.0 default unsat ✅ 0.04023 0.03999
SMT-COMP 2016 CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.01224 0.01241
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.05324 0.05348
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.08228 0.04060
Z3 z3-4.4.1 default unsat ✅ 0.03842 0.03967
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01451 0.01421
Redlog Redlog default unsat ✅ 0.15508 0.15640
Vampire vampire4.2-smt vampire unsat ✅ 0.05217 0.05096
veriT veriT+Redlog_20170618 default unsat ✅ 0.14964 0.14957
Z3 z3-4.5.0 default unsat ✅ 0.04151 0.04094
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.01814 0.01830
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.62593 2.37000
Z3 z3-4.7.1_default unsat ✅ 0.03694 0.03690
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.02037 0.02074
Par4 Par4-wrapped-sq_default unsat ✅ 0.02604 0.00555
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.33407 3.15116
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.34801 3.39909
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.32719 0.57863
vampire-4.3-smt_vampire_smtcomp unsat ✅ 8.03976 31.78000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.03915 0.03916
z3-4.7.1_default unsat ✅ 0.03746 0.03742
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.01870 0.01900
Par4 Par4-wrapped-sq_default unsat ✅ 0.02728 0.00588
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.37425 3.46151
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.06335 0.06004
Z3 z3-4.8.8_default unsat ✅ 0.03412 0.03405
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.01961 0.01991
cvc5 cvc5-fixed_default unsat ✅ 0.02257 0.02318
Par4 Par4-wrapped-sq_default unsat ✅ 0.02881 0.00703
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 2.93979 5.19039
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.05643 0.05572
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.05276 0.05281
Z3 z3-4.8.11_default unsat ✅ 0.01854 0.01850
z3-4.8.8_default unsat ✅ 0.03461 0.03456
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.02982 0.03039
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 3.05184 5.01702
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.10690 0.10185
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04815 0.04819
Z3 z3-4.8.17_default unsat ✅ 0.01902 0.02099
z3-4.8.11_default unsat ✅ 0.01780 0.01773
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.02203 0.02259
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65026 1.05631
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 4.09673 5.00012
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.09119 0.08925
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.04831 0.04832
Z3 z3-4.8.11_default unsat ✅ 0.01848 0.01845
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.24844 0.14484
iProver iProver v3.9 unsat ✅ 0.87207 1.46806
SMTInterpol SMTInterpol unsat ✅ 0.54185 0.72929
SMT-RAT SMT-RAT unsat ✅ 0.21577 0.11619
YicesQS YicesQS unsat ✅ 0.24479 0.14565
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.29619 0.17071
iProver iProver v3.9.3 unsat ✅ 0.87701 1.61389
SMTInterpol SMTInterpol unsat ✅ 0.50868 0.62448
SMT-RAT SMT-RAT unsat ✅ 0.26320 0.13650
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 2.14772 4.78543
YicesQS YicesQS unsat ✅ 0.31833 0.19069
Z3alpha Z3-alpha unsat ✅ 0.39805 0.28196
Z3 Z3-alpha-base unsat ✅ 0.27502 0.15569