tmux+vi problem

paste related to:
http://unix.stackexchange.com/questions/38911/vim-not-running-inside-tmux

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remote machine:

$ infocmp screen
#       Reconstructed via infocmp from file: /usr/share/terminfo/s/screen
screen|VT 100/ANSI X3.64 virtual terminal,
        am, km, mir, msgr, xenl,
        colors#8, cols#80, it#8, lines#24, ncv#3, pairs#64,
        acsc=++\,\,--..00``aaffgghhiijjkkllmmnnooppqqrrssttuuvvwwxxyyzz{{||}}~~,
        bel=^G, blink=\E[5m, bold=\E[1m, cbt=\E[Z, civis=\E[?25l,
        clear=\E[H\E[J, cnorm=\E[34h\E[?25h, cr=^M,
        csr=\E[%i%p1%d;%p2%dr, cub=\E[%p1%dD, cub1=^H,
        cud=\E[%p1%dB, cud1=^J, cuf=\E[%p1%dC, cuf1=\E[C,
        cup=\E[%i%p1%d;%p2%dH, cuu=\E[%p1%dA, cuu1=\EM,
        cvvis=\E[34l, dch=\E[%p1%dP, dch1=\E[P, dl=\E[%p1%dM,
        dl1=\E[M, ed=\E[J, el=\E[K, el1=\E[1K, enacs=\E(B\E)0,
        flash=\Eg, home=\E[H, ht=^I, hts=\EH, ich=\E[%p1%d@,
        il=\E[%p1%dL, il1=\E[L, ind=^J, is2=\E)0, kbs=^H, kcbt=\E[Z,
        kcub1=\EOD, kcud1=\EOB, kcuf1=\EOC, kcuu1=\EOA,
        kdch1=\E[3~, kend=\E[4~, kf1=\EOP, kf10=\E[21~,
        kf11=\E[23~, kf12=\E[24~, kf2=\EOQ, kf3=\EOR, kf4=\EOS,
        kf5=\E[15~, kf6=\E[17~, kf7=\E[18~, kf8=\E[19~, kf9=\E[20~,
        khome=\E[1~, kich1=\E[2~, kmous=\E[M, knp=\E[6~, kpp=\E[5~,
        nel=\EE, op=\E[39;49m, rc=\E8, rev=\E[7m, ri=\EM, rmacs=^O,
        rmcup=\E[?1049l, rmir=\E[4l, rmkx=\E[?1l\E>, rmso=\E[23m,
        rmul=\E[24m, rs2=\Ec\E[?1000l\E[?25h, sc=\E7,
        setab=\E[4%p1%dm, setaf=\E[3%p1%dm,
        sgr=\E[0%?%p6%t;1%;%?%p1%t;3%;%?%p2%t;4%;%?%p3%t;7%;%?%p4%t;5%;m%?%p9%t\016%e\017%;,
        sgr0=\E[m, smacs=^N, smcup=\E[?1049h, smir=\E[4h,
        smkx=\E[?1h\E=, smso=\E[3m, smul=\E[4m, tbc=\E[3g,

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local machine:

$ infocmp screen
#       Reconstructed via infocmp from file: /usr/share/terminfo/s/screen
screen|VT 100/ANSI X3.64 virtual terminal,
        OTbs, OTpt, am, km, mir, msgr, xenl, AX, G0,
        colors#8, cols#80, it#8, lines#24, ncv#3, pairs#64,
        acsc=++\,\,--..00``aaffgghhiijjkkllmmnnooppqqrrssttuuvvwwxxyyzz{{||}}~~,
        bel=^G, blink=\E[5m, bold=\E[1m, cbt=\E[Z, civis=\E[?25l,
        clear=\E[H\E[J, cnorm=\E[34h\E[?25h, cr=^M,
        csr=\E[%i%p1%d;%p2%dr, cub=\E[%p1%dD, cub1=^H,
        cud=\E[%p1%dB, cud1=^J, cuf=\E[%p1%dC, cuf1=\E[C,
        cup=\E[%i%p1%d;%p2%dH, cuu=\E[%p1%dA, cuu1=\EM,
        cvvis=\E[34l, dch=\E[%p1%dP, dch1=\E[P, dl=\E[%p1%dM,
        dl1=\E[M, ed=\E[J, el=\E[K, el1=\E[1K, enacs=\E(B\E)0,
        flash=\Eg, home=\E[H, ht=^I, hts=\EH, ich=\E[%p1%d@,
        il=\E[%p1%dL, il1=\E[L, ind=^J, is2=\E)0, kbs=^H, kcbt=\E[Z,
        kcub1=\EOD, kcud1=\EOB, kcuf1=\EOC, kcuu1=\EOA,
        kdch1=\E[3~, kend=\E[4~, kf1=\EOP, kf10=\E[21~,
        kf11=\E[23~, kf12=\E[24~, kf2=\EOQ, kf3=\EOR, kf4=\EOS,
        kf5=\E[15~, kf6=\E[17~, kf7=\E[18~, kf8=\E[19~, kf9=\E[20~,
        khome=\E[1~, kich1=\E[2~, kmous=\E[M, knp=\E[6~, kpp=\E[5~,
        nel=\EE, op=\E[39;49m, rc=\E8, rev=\E[7m, ri=\EM, rmacs=^O,
        rmcup=\E[?1049l, rmir=\E[4l, rmkx=\E[?1l\E>, rmso=\E[23m,
        rmul=\E[24m, rs2=\Ec\E[?1000l\E[?25h, sc=\E7,
        setab=\E[4%p1%dm, setaf=\E[3%p1%dm,
        sgr=\E[0%?%p6%t;1%;%?%p1%t;3%;%?%p2%t;4%;%?%p3%t;7%;%?%p4%t;5%;m%?%p9%t\016%e\017%;,
        sgr0=\E[m, smacs=^N, smcup=\E[?1049h, smir=\E[4h,
        smkx=\E[?1h\E=, smso=\E[3m, smul=\E[4m, tbc=\E[3g, E0=\E(B,
        S0=\E(%p1%c,