Benchmark

non-incremental/QF_LIA/arctic-matrix/constraint-392137.smt2

Submitted by Johannes Waldmann in 2012 for SMT-LIB.

These come from automated program termination analysis.
They should be satisfiable.

remove at least one strict rule from (RULES a# a -> b# b b,
       b# b -> c# c c,
       c# c -> d# d d,
       b# -> d# d,
       d# d c -> a#,
       a a ->= b b b,
       a ->= d c,
       b b ->= c c c,
       c c ->= d d d,
       d e ->= e d c b a,
       b ->= d d,
       c e ->= e a a b,
       d d c ->= a)
Benchmark
Size317030
Compressed Size43038
License Creative Commons Attribution 4.0 International (CC-BY-4.0)
Categoryindustrial
First Occurrence2015-07-02
Generated By
Generated On
Generator
Dolmen OK1
strict Dolmen OK1
check-sat calls1
Query 1
Status sat
Inferred Status sat
Size 317022
Compressed Size43045
Max. Term Depth9
Asserts 1
Declared Functions0
Declared Constants3684
Declared Sorts 0
Defined Functions0
Defined Recursive Functions 0
Defined Sorts0
Constants0
Declared Datatypes0

Symbols

not1506 or4324 and2793 =4386
let1 +936 >60 >=1602

Evaluations

Evaluation Rating Solver Variant Result Wallclock CPU Time
SMT-COMP 2015 0.29 (5/7) CVC4 CVC4-master-2015-06-15-9b32405-main default sat ✅ 269.13800 269.22900
CVC4-experimental-2015-06-15-ff5745a-main default sat ✅ 272.22300 272.33200
MathSAT MathSat 5.3.6 main smtcomp2015_main sat ✅ 161.51300 161.57800
SMTInterpol SMTInterpol v2.1-206-g86e9531 default sat ✅ 203.93500 276.16500
SMT-RAT SMT-RAT-final default unknown ❌ 2400.01000 2401.05000
veriT veriT default unknown ❌ 2400.01000 2400.98000
Yices2 Yices default sat ✅ 5.37758 5.37818
Z3 z3 4.4.0 default sat ✅ 579.11200 579.30700
SMT-COMP 2016 0.75 (2/8) CVC4 CVC4-master-2016-05-27-cfef263-main default sat ✅ 144.85600 144.91300
MathSAT mathsat-5.3.11-linux-x86_64-Main default sat ✅ 107.19600 107.15000
ProB ProB competition unknown ❌ 2400.04000 2401.45000
SMTInterpol smtinterpol-2.1-258-g92ab3df default unknown ❌ 2400.06000 2667.94000
SMT-RAT SMT-RAT default unknown ❌ 2400.03000 2401.56000
veriT veriT-dev default unknown ❌ 2400.06000 2401.63000
Yices2 Yices-2.4.2 default unknown ❌ 2400.02000 2401.39000
Z3 z3-4.4.1 default unknown ❌ 2400.02000 2401.56000
SMT-COMP 2017 0.86 (1/7) CVC4 CVC4-smtcomp2017-main default unknown ❌ 600.01000 599.93400
MathSAT mathsat-5.4.1-linux-x86_64-Main default unknown ❌ 600.02000 599.93500
SMTInterpol SMTInterpol default unknown ❌ 600.02800 690.38000
SMT-RAT SMTRAT-comp2017_2 default unknown ❌ 600.03600 600.04700
veriT veriT-2017-06-17 default sat ✅ 52.36950 52.37170
Yices2 Yices2-Main default unknown ❌ 600.03000 599.97900
Z3 z3-4.5.0 default unknown ❌ 600.08400 599.96200
SMT-COMP 2018 0.25 (6/8) Ctrl-Ergo Ctrl-Ergo-SMTComp-2018_default sat ✅ 1.43677 5.52000
CVC4 master-2018-06-10-b19c840-competition-default_default sat ✅ 495.70800 495.69400
MathSAT mathsat-5.5.2-linux-x86_64-Main_default sat ✅ 37.84180 37.84090
SMTInterpol SMTInterpol-2.5-19-g0d39cdee_default sat ✅ 1181.52000 1321.47000
SMT-RAT SMTRAT-Rat-final_default unknown ❌ 1200.08000 1200.01000
veriT veriT_default unknown ❌ 1200.02000 1199.78000
Yices2 Yices 2.6.0_default sat ✅ 32.69310 32.68680
Z3 z3-4.7.1_default sat ✅ 146.41400 146.40600
SMT-COMP 2019 0.38 (5/8) Ctrl-Ergo Ctrl-Ergo-2019-wrapped-sq_default sat ✅ 1.58068 5.91000
CVC4 CVC4-2019-06-03-d350fe1-wrapped-sq_default sat ✅ 1313.81000 1313.67000
CVC4-SymBreak_03_06_2019-wrapped-sq_default sat ✅ 1854.69000 1854.55000
Par4 Par4-wrapped-sq_default sat ✅ 43.50580 130.14000
ProB ProB-wrapped-sq_default unknown ❌ 2400.06000 2399.98000
SMTInterpol smtinterpol-2.5-514-wrapped-sq_default unknown ❌ 2400.03000 2419.95000
veriT veriT-wrapped-sq_default unknown ❌ 2400.08000 2399.93000
Yices2 Yices 2.6.2-wrapped-sq_default sat ✅ 118.42100 118.41600
Z3 z3-4.8.4-d6df51951f4c-wrapped-sq_default sat ✅ 55.57390 55.56740
SMT-COMP 2020 0.14 (6/7) CVC4 CVC4-sq-final_default sat ✅ 588.82200 588.79700
MathSAT MathSAT5_default.sh sat ✅ 643.49600 643.44200
Par4 Par4-wrapped-sq_default sat ✅ 83.45760 250.26000
SMTInterpol smtinterpol-2.5-679-gacfde87a_default sat ✅ 39.37010 56.82970
veriT veriT_default unknown ❌ 1200.05000 1200.03000
Yices2 Yices 2.6.2 bug fix_default sat ✅ 613.55400 613.49900
Z3 z3-4.8.8_default sat ✅ 142.02200 142.02500
SMT-COMP 2021 0.29 (5/7) cvc5 cvc5-fixed_default sat ✅ 134.17000 134.14500
MathSAT mathsat-5.6.6_default sat ✅ 322.83600 322.81500
OpenSMT OpenSMT-fixed_default sat ✅ 63.11110 63.10650
Par4 Par4-wrapped-sq_default sat ✅ 30.91990 92.42000
SMTInterpol smtinterpol-2.5-823-g881e8631_default unknown ❌ 1200.05000 1223.35000
veriT veriT_default unknown ❌ 1200.03000 1199.99000
Z3 z3-4.8.11_default sat ✅ 37.77240 37.76930
SMT-COMP 2022 0.33 (4/6) cvc5 cvc5-default-2022-07-02-b15e116-wrapped_sq unknown ❌ 1200.10000 1199.62000
MathSAT MathSAT-5.6.8_default sat ✅ 25.49300 25.49140
Par4 Par4-wrapped-sq_default sat ✅ 114.76800 343.70000
veriT veriT_default sat ✅ 11.14150 11.14220
Yices2 Yices 2.6.2 for SMTCOMP 2021_default unknown ❌ 1200.01000 1200.00000
Z3 z3-4.8.17_default sat ✅ 228.33100 228.24300
SMT-COMP 2025 0.17 (5/6) cvc5 cvc5 sat ✅ 283.17300 283.03360
OpenSMT OpenSMT sat ✅ 0.72014 0.60249
SMTInterpol SMTInterpol unknown ❌ 1201.38709 1221.76794
Yices2 Yices2 sat ✅ 912.09209 911.84956
Z3alpha Z3-alpha sat ✅ 8.62776 32.93285
Z3 Z3-alpha-base sat ✅ 85.70209 85.55877