Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node41056.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 41056 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
Size1986
Compressed Size865
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 1978
Compressed Size872
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 and16 =>2 =2
exists1 let2 Real1 /1
+3 -1 *4 <1
<=6 >4 >=6

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.01640 0.00800
CVC4 CVC4 f7118b2 default unsat ✅ 0.03678 0.02499
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 0.02413 0.01700
SMT-COMP 2015 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00860 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01372 0.01100
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01332 0.01100
Z3 z3 4.4.0 default unsat ✅ 0.04001 0.03999
SMT-COMP 2016 CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.01371 0.01389
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.05396 0.05449
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.08229 0.04090
Z3 z3-4.4.1 default unsat ✅ 0.04237 0.04367
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01421 0.01355
Redlog Redlog default unsat ✅ 0.15263 0.15314
Vampire vampire4.2-smt vampire unsat ✅ 0.04057 0.04032
veriT veriT+Redlog_20170618 default unsat ✅ 0.14692 0.14747
Z3 z3-4.5.0 default unsat ✅ 0.04260 0.04129
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.01999 0.02046
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.69885 2.46000
Z3 z3-4.7.1_default unsat ✅ 0.04787 0.04781
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.02061 0.02091
Par4 Par4-wrapped-sq_default unsat ✅ 0.02701 0.00552
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.50567 3.47905
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.34503 3.23567
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.17662 0.09852
vampire-4.3-smt_vampire_smtcomp unsat ✅ 0.25080 0.25934
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.04683 0.04681
z3-4.7.1_default unsat ✅ 0.04601 0.04594
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.01952 0.01983
Par4 Par4-wrapped-sq_default unsat ✅ 0.02857 0.00595
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.55752 3.59427
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.09808 0.06012
Z3 z3-4.8.8_default unsat ✅ 0.03440 0.03435
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.02012 0.02041
cvc5 cvc5-fixed_default unsat ✅ 0.03278 0.03321
Par4 Par4-wrapped-sq_default unsat ✅ 0.03024 0.00626
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 3.10827 4.97062
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.12888 0.12876
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.03196 0.03200
Z3 z3-4.8.11_default unsat ✅ 0.01915 0.01910
z3-4.8.8_default unsat ✅ 0.03536 0.03529
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.03019 0.03073
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 2.99555 4.97429
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.15517 0.10234
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03927 0.03927
Z3 z3-4.8.17_default unsat ✅ 0.02115 0.02297
z3-4.8.11_default unsat ✅ 0.01797 0.01795
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.02297 0.02356
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65138 1.00000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 3.04923 5.11477
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.11070 0.11044
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03387 0.03391
Z3 z3-4.8.11_default unsat ✅ 0.01886 0.01881
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.22800 0.12877
iProver iProver v3.9 unsat ✅ 0.86704 1.60759
SMTInterpol SMTInterpol unsat ✅ 0.52586 0.71202
SMT-RAT SMT-RAT unsat ✅ 0.22267 0.12294
YicesQS YicesQS unsat ✅ 0.23291 0.13316
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.30772 0.17372
iProver iProver v3.9.3 unsat ✅ 0.89941 1.61284
SMTInterpol SMTInterpol unsat ✅ 0.56414 0.69589
SMT-RAT SMT-RAT unsat ✅ 0.28314 0.15019
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 2.18748 4.72126
YicesQS YicesQS unsat ✅ 0.28959 0.16946
Z3alpha Z3-alpha unsat ✅ 0.39102 0.27972
Z3 Z3-alpha-base unsat ✅ 0.27376 0.15557