Benchmark

non-incremental/NRA/keymaera/safety-lemma-node9082.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: safety-lemma, node 9082 For more info see: @see "Andre Platzer and Jan-David Quesel. European Train Control System: A case study in formal verification. In Karin Breitman and Ana Cavalcanti, editors, 11th International Conference on Formal Engineering Methods, ICFEM, Rio de Janeiro, Brasil, Proceedings, volume 5885 of LNCS, pages 246-265. Springer, 2009."
Benchmark
Size2783
Compressed Size1018
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 2775
Compressed Size1010
Max. Term Depth21
Asserts 1
Declared Functions0
Declared Constants16
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1 or2 and13 =>2
=1 exists1 let2 Real1
/4 +7 -7 *21
<=9 >1 >=7

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2014 1.00 (0/3) CVC3 CVC3 default unknown ❌ 0.01633 0.00800
CVC4 CVC4 f7118b2 default unknown ❌ 0.19903 0.18097
Z3 Z3-4.3.2.a054b099c1d6-x64-debian-6.0.6-SMT-COMP-2014 default unknown ❌ 0.66319 0.66290
SMT-COMP 2015 1.00 (0/3) CVC3 CVC3 default unknown ❌ 0.00866 0.00800
CVC4 CVC4-master-2015-06-15-9b32405-main default unknown ❌ 2400.01000 2400.70000
CVC4-experimental-2015-06-15-ff5745a-main default unknown ❌ 361.31900 361.15400
Z3 z3 4.4.0 default unknown ❌ 780.50800 780.76200
SMT-COMP 2016 0.67 (1/3) CVC4 CVC4-master-2016-05-27-cfef263-main default unknown ❌ 0.16485 0.16572
Vampire vampire_smt_4.1 vampire_smtcomp unsat ✅ 48.90510 49.11640
vampire_smt_4.1_parallel vampire_smtcomp unsat ✅ 37.45810 70.98000
Z3 z3-4.4.1 default unknown ❌ 806.90200 807.32700
SMT-COMP 2017 0.60 (2/5) CVC4 CVC4-smtcomp2017-main default unknown ❌ 302.28300 300.28700
Redlog Redlog default unsat ✅ 0.47314 0.47117
Vampire vampire4.2-smt vampire unsat ✅ 136.42300 475.32000
veriT veriT+Redlog_20170618 default unknown ❌ 600.02300 605.73500
Z3 z3-4.5.0 default unknown ❌ 600.06800 600.02000
SMT-COMP 2018 0.67 (1/3) CVC4 master-2018-06-10-b19c840-competition-default_default unknown ❌ 1200.01000 1198.05000
Vampire vampire-4.3-smt_vampire_smtcomp unsat ✅ 20.41690 80.82000
Z3 z3-4.7.1_default unknown ❌ 1200.02000 1200.02000
SMT-COMP 2019 0.80 (1/5) CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default unknown ❌ 2400.11000 2397.65000
Par4 Par4-wrapped-sq_default unknown ❌ 2400.11000 4797.83000
UltimateEliminator UltimateEliminator+MathSAT-5.5.4-wrapped-sq_default unknown ❌ 2.42295 3.49038
UltimateEliminator+Yices-2.6.1-wrapped-sq_default unknown ❌ 2.38212 3.48855
Vampire vampire-4.4-smtcomp-wrapped-sq_default unsat ✅ 3.79733 14.62750
vampire-4.3-smt_vampire_smtcomp unsat ✅ 21.07790 83.59000
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default unknown ❌ 2400.07000 2400.04000
z3-4.7.1_default unknown ❌ 2400.01000 2399.75000
SMT-COMP 2020 0.80 (1/5) CVC4 CVC4-sq-final_default unknown ❌ 1200.11000 1198.02000
Par4 Par4-wrapped-sq_default unknown ❌ 1200.09000 2398.74000
UltimateEliminator UltimateEliminator+MathSAT-5.6.3_s_default unknown ❌ 2.42992 3.57637
Vampire vampire_smt_4.5_vampire_smtcomp unsat ✅ 1.41507 4.19013
Z3 z3-4.8.8_default unknown ❌ 1200.05000 1199.95000
SMT-COMP 2022 0.20 (4/5) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unsat ✅ 0.56601 0.56660
UltimateEliminator UltimateEliminator+MathSAT-5.6.7-wrapped_default unknown ❌ 1200.03000 1203.86000
Vampire vampire_4.7_smt_fix-wrapped_vampire_smtcomp unsat ✅ 0.41494 0.29210
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 29.60990 29.60760
Z3 z3-4.8.17_default unknown ❌ 1200.01000 1200.00000
z3-4.8.11_default unsat ✅ 19.19770 19.18270
SMT-COMP 2023 0.33 (4/6) cvc5 cvc5-default-2023-05-16-ea045f305_sq unsat ✅ 0.54940 0.54881
iProver iProver-3.8-fix_iprover_SMT unknown ❌ 1200.11000 4751.19000
UltimateEliminator UltimateEliminator+MathSAT-5.6.9_default unknown ❌ 3.49053 5.68358
Vampire vampire_4.8_smt_pre_vampire_smtcomp unsat ✅ 1.41688 5.31000
YicesQS yicesQS-2022-07-02-optim-under10_default unsat ✅ 95.10640 95.09700
Z3 z3-4.8.11_default unsat ✅ 290.56200 290.55900
SMT-COMP 2024 0.40 (3/5) cvc5 cvc5 unsat ✅ 0.52146 0.42199
iProver iProver v3.9 unknown ❌ 1201.74275 4770.54886
SMTInterpol SMTInterpol unknown ❌ 0.52773 0.74562
SMT-RAT SMT-RAT unsat ✅ 0.30087 0.20096
YicesQS YicesQS unsat ✅ 684.53116 684.40862
SMT-COMP 2025 0.50 (4/8) cvc5 cvc5 unsat ✅ 0.48964 0.36200
iProver iProver v3.9.3 unknown ❌ 1201.80113 4791.22304
SMTInterpol SMTInterpol unknown ❌ 0.53007 0.61592
SMT-RAT SMT-RAT unsat ✅ 0.35962 0.23488
UltimateEliminator UltimateEliminator+MathSAT unknown ❌ 1201.79184 1204.94356
YicesQS YicesQS unknown ❌ 1201.77075 1201.05573
Z3alpha Z3-alpha unsat ✅ 0.42955 0.46704
Z3 Z3-alpha-base unsat ✅ 1.24775 1.12361