Benchmark

non-incremental/NRA/keymaera/intersection-example-onelane.proof-node48732.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 48732 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
Size2044
Compressed Size875
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 2036
Compressed Size877
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 and16 =>2 =2
exists1 let1 Real1 /2
+4 *5 <=7 >5
>=5

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.01673 0.00800
CVC4 CVC4 f7118b2 default unsat ✅ 0.06778 0.05299
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unsat ✅ 2.55551 2.54861
SMT-COMP 2015 0.33 (2/3) CVC3 CVC3 default unknown ❌ 0.00870 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unsat ✅ 0.01376 0.01100
CVC4-experimental-2015-06-15-ff5745a-main default unsat ✅ 0.01377 0.01100
Z3 z3 4.4.0 default unsat ✅ 0.06941 0.06899
SMT-COMP 2016 0.33 (2/3) CVC4 CVC4-master-2016-05-27-cfef263-main default unsat ✅ 0.01325 0.01346
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 0.08173 0.08223
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 0.04103 0.04135
Z3 z3-4.4.1 default unknown ❌ 0.06225 0.06357
SMT-COMP 2017 CVC4 CVC4-smtcomp2017-main default unsat ✅ 0.01661 0.01525
Redlog Redlog default unsat ✅ 0.15361 0.15343
Vampire vampire4.2-smt vampire unsat ✅ 0.04164 0.04014
veriT veriT+Redlog_20170618 default unsat ✅ 0.14740 0.14753
Z3 z3-4.5.0 default unsat ✅ 0.07947 0.07853
SMT-COMP 2018 CVC4 master-2018-06-10-b19c840-competition-default_default unsat ✅ 0.02214 0.02233
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 6.76567 26.39000
Z3 z3-4.7.1_default unsat ✅ 0.05676 0.05665
SMT-COMP 2019 0.20 (4/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unsat ✅ 0.02203 0.02233
Par4 Par4-wrapped-sq_default unsat ✅ 0.03116 0.00592
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.57856 3.45444
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.38609 3.38834
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 0.12710 0.17983
vampire-4.3-smt_vampire_smtcomp unsat ✅ 96.13160 381.57000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unsat ✅ 0.06689 0.06689
z3-4.7.1_default unsat ✅ 0.06245 0.06240
SMT-COMP 2020 0.20 (4/5) CVC4 CVC4-sq-final_default unsat ✅ 0.01997 0.02024
Par4 Par4-wrapped-sq_default unsat ✅ 0.03535 0.00610
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.43741 3.48902
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 0.05929 0.05912
Z3 z3-4.8.8_default unsat ✅ 0.03456 0.03452
SMT-COMP 2021 0.14 (6/7) CVC4 CVC4-sq-final_default unsat ✅ 0.02129 0.02163
cvc5 cvc5-fixed_default unsat ✅ 0.02467 0.02522
Par4 Par4-wrapped-sq_default unsat ✅ 0.03525 0.00853
UltimateEliminator UltimateEliminator+MathSAT-5.6.6_default unknown ❌ 1200.12000 1203.93000
Vampire vampire_smt_4.6-fixed_vampire_smtcomp unsat ✅ 0.13460 0.13462
YicesQS yices-QS-2021-06-13under10_default unsat ✅ 0.03152 0.03150
Z3 z3-4.8.11_default unsat ✅ 0.01992 0.01989
z3-4.8.8_default unsat ✅ 0.03586 0.03580
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.03126 0.03182
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 3.04204 5.05082
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.10293 0.10219
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03263 0.03263
Z3 z3-4.8.17_default unsat ✅ 0.03836 0.04124
z3-4.8.11_default unsat ✅ 0.02033 0.02025
SMT-COMP 2023 0.17 (5/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.02460 0.02514
iProver iProver-3.8-fix_iprover_SMT unsat ✅ 0.65059 1.03000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 2.94872 5.02779
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 0.06081 0.06077
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 0.03245 0.03247
Z3 z3-4.8.11_default unsat ✅ 0.01990 0.01987
SMT-COMP 2024 cvc5 cvc5 unsat ✅ 0.22781 0.12813
iProver iProver v3.9 unsat ✅ 0.86375 1.77748
SMTInterpol SMTInterpol unsat ✅ 0.52896 0.69768
SMT-RAT SMT-RAT unsat ✅ 0.32733 0.22728
YicesQS YicesQS unsat ✅ 0.25713 0.15555
SMT-COMP 2025 0.12 (7/8) cvc5 cvc5 unsat ✅ 0.30156 0.17562
iProver iProver v3.9.3 unsat ✅ 0.89002 1.82462
SMTInterpol SMTInterpol unsat ✅ 0.53319 0.67331
SMT-RAT SMT-RAT unsat ✅ 0.29933 0.17209
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 2.21856 4.85219
YicesQS YicesQS unsat ✅ 0.27202 0.15340
Z3alpha Z3-alpha unsat ✅ 0.37718 0.26518
Z3 Z3-alpha-base unsat ✅ 0.28591 0.16148