  Recent breakthrough in search for the analogs of fundamental particles in
condensed matter systems lead to experimental realizations of 3D Dirac and Weyl
semimetals. Weyl state can be hosted either by non-centrosymmetric or magnetic
materials and can be of the first or the second type. Several
non-centrosymmetric materials have been proposed to be type-II Weyl semimetals,
but in all of them the Fermi arcs between projections of multiple Weyl points
either have not been observed directly or they were hardly distinguishable from
the trivial surface states which significantly hinders the practical
application of these materials. Here we present experimental evidence for
type-II non-centrosymmetric Weyl state in TaIrTe$_4$ where it has been
predicted theoretically. We find direct correspondence between ARPES spectra
and calculated electronic structure both in the bulk and the surface and
clearly observe the exotic surface states which support the quasi-1D Fermi arcs
connecting only four Weyl points. Remarkably, these electronic states are
spin-polarized in the direction along the arcs, thus highlighting TaIrTe$_4$ as
a novel material with promising application potential.
