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LEO-II---2.3.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : SWV458+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Oct  7 10:57:49 AM UTC 2026

% Result   : Theorem 235.95s 39.56s
% Output   : CNFRefutation 235.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :   58
% Syntax   : Number of formulae    :  940 ( 527 unt;   0 typ;   0 def)
%            Number of atoms       : 7847 (3849 equ;   0 cnn)
%            Maximal formula atoms :   98 (   8 avg)
%            Number of connectives : 18616 (3779   ~;2185   |; 561   &;11792   @)
%                                         (  27 <=>; 272  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   50 (  47 usr;  25 con; 0-3 aty)
%            Number of variables   : 2253 (   0   ^;2250   !;   3   ?;2253   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_alive,type,
    alive: $i ).

thf(tp_cons,type,
    cons: $i > $i > $i ).

thf(tp_down,type,
    down: $i ).

thf(tp_elec_1,type,
    elec_1: $i ).

thf(tp_elec_2,type,
    elec_2: $i ).

thf(tp_elem,type,
    elem: $i > $i > $o ).

thf(tp_elid,type,
    elid: $i ).

thf(tp_head,type,
    head: $i > $i ).

thf(tp_host,type,
    host: $i > $i ).

thf(tp_index,type,
    index: $i > $i > $i ).

thf(tp_init,type,
    init: $i > $i ).

thf(tp_last,type,
    last: $i > $i ).

thf(tp_ldr,type,
    ldr: $i ).

thf(tp_leq,type,
    leq: $i > $i > $o ).

thf(tp_m_Ack,type,
    m_Ack: $i > $i > $i ).

thf(tp_m_Down,type,
    m_Down: $i > $i ).

thf(tp_m_Halt,type,
    m_Halt: $i > $i ).

thf(tp_m_Ldr,type,
    m_Ldr: $i > $i ).

thf(tp_m_NormQ,type,
    m_NormQ: $i > $i ).

thf(tp_m_NotNorm,type,
    m_NotNorm: $i > $i ).

thf(tp_nbr_proc,type,
    nbr_proc: $i ).

thf(tp_nil,type,
    nil: $i ).

thf(tp_norm,type,
    norm: $i ).

thf(tp_ordered,type,
    ordered: $i > $o ).

thf(tp_pendack,type,
    pendack: $i ).

thf(tp_pidElem,type,
    pidElem: $i > $o ).

thf(tp_pidMsg,type,
    pidMsg: $i > $i ).

thf(tp_pids,type,
    pids: $i ).

thf(tp_q_nil,type,
    q_nil: $i ).

thf(tp_queue,type,
    queue: $i > $i ).

thf(tp_s,type,
    s: $i > $i ).

thf(tp_sK1_V,type,
    sK1_V: $i ).

thf(tp_sK2_SY148,type,
    sK2_SY148: $i ).

thf(tp_sK3_SY149,type,
    sK3_SY149: $i ).

thf(tp_sK4_SY233,type,
    sK4_SY233: $i ).

thf(tp_sK5_SX0,type,
    sK5_SX0: $i ).

thf(tp_sK6_SY398,type,
    sK6_SY398: $i ).

thf(tp_sK7_SY416,type,
    sK7_SY416: $i ).

thf(tp_sK8_SY367,type,
    sK8_SY367: $i > $i ).

thf(tp_sK9_SY413,type,
    sK9_SY413: $i > $i > $i > $i ).

thf(tp_setEmpty,type,
    setEmpty: $i ).

thf(tp_setIn,type,
    setIn: $i > $i > $o ).

thf(tp_snoc,type,
    snoc: $i > $i > $i ).

thf(tp_status,type,
    status: $i ).

thf(tp_tail,type,
    tail: $i > $i ).

thf(tp_wait,type,
    wait: $i ).

thf(tp_zero,type,
    zero: $i ).

thf(1,axiom,
    ! [X: $i] :
      ~ ( setIn @ X @ setEmpty ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).

thf(2,axiom,
    ! [X: $i,Y: $i] :
      ( ( leq @ X @ ( s @ Y ) )
    <=> ( ( X
          = ( s @ Y ) )
        | ( leq @ X @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).

thf(3,axiom,
    ! [X: $i,Y: $i] :
      ( ( leq @ X @ Y )
    <=> ( leq @ ( s @ X ) @ ( s @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_63) ).

thf(4,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( leq @ X @ Y )
        & ( leq @ Y @ Z ) )
     => ( leq @ X @ Z ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_62) ).

thf(5,axiom,
    ! [X: $i,Y: $i] :
      ( ( ( leq @ X @ Y )
        & ( leq @ Y @ X ) )
    <=> ( X = Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).

thf(6,axiom,
    ! [X: $i,Y: $i] :
      ( ( leq @ X @ Y )
      | ( leq @ Y @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).

thf(7,axiom,
    ! [X: $i] : ( leq @ X @ X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_59) ).

thf(8,axiom,
    ! [X: $i] :
      ~ ( leq @ ( s @ X ) @ X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_58) ).

thf(9,axiom,
    ! [Q: $i,X: $i,Y: $i] :
      ( ( ( ordered @ ( cons @ ( m_Halt @ X ) @ Q ) )
        & ( ( host @ X )
          = ( host @ Y ) )
        & ( elem @ ( m_Down @ Y ) @ Q ) )
     => ( leq @ X @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_57) ).

thf(10,axiom,
    ! [Q: $i,X: $i] :
      ( ( ordered @ Q )
     => ( ordered @ ( snoc @ Q @ ( m_Ldr @ X ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_56) ).

thf(11,axiom,
    ! [Q: $i,X: $i,Y: $i] :
      ( ( ordered @ Q )
     => ( ordered @ ( snoc @ Q @ ( m_Ack @ X @ Y ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_55) ).

thf(16,axiom,
    ! [X: $i] :
      ( ( pidMsg @ ( m_Down @ X ) )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_50) ).

thf(17,axiom,
    ! [X: $i] :
      ( ( pidMsg @ ( m_Halt @ X ) )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).

thf(18,axiom,
    ! [X: $i] :
      ( ( pidElem @ X )
    <=> ? [Y: $i] :
          ( ( X
            = ( m_Halt @ Y ) )
          | ( X
            = ( m_Down @ Y ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_48) ).

thf(19,axiom,
    ! [X: $i,Y: $i,Q: $i] :
      ( ( elem @ X @ ( snoc @ Q @ Y ) )
    <=> ( ( X = Y )
        | ( elem @ X @ Q ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).

thf(20,axiom,
    ! [X: $i,Y: $i,Q: $i] :
      ( ( elem @ X @ ( cons @ Y @ Q ) )
    <=> ( ( X = Y )
        | ( elem @ X @ Q ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_46) ).

thf(21,axiom,
    ! [X: $i] :
      ~ ( elem @ X @ q_nil ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_45) ).

thf(22,axiom,
    ! [X: $i,Y: $i,Q: $i] :
      ( ( snoc @ ( cons @ X @ Q ) @ Y )
      = ( cons @ X @ ( snoc @ Q @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).

thf(23,axiom,
    ! [X: $i] :
      ( ( cons @ X @ q_nil )
      = ( snoc @ q_nil @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_43) ).

thf(24,axiom,
    ! [Y: $i,Q: $i] :
      ( q_nil
     != ( snoc @ Q @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_42) ).

thf(25,axiom,
    ! [X: $i,Q: $i] :
      ( q_nil
     != ( cons @ X @ Q ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_41) ).

thf(28,axiom,
    ! [Y: $i,Q: $i] :
      ( ( init @ ( snoc @ Q @ Y ) )
      = Q ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_38) ).

thf(29,axiom,
    ! [Y: $i,Q: $i] :
      ( ( last @ ( snoc @ Q @ Y ) )
      = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).

thf(30,axiom,
    ! [X: $i,Q: $i] :
      ( ( tail @ ( cons @ X @ Q ) )
      = Q ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).

thf(31,axiom,
    ! [X: $i,Q: $i] :
      ( ( head @ ( cons @ X @ Q ) )
      = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_35) ).

thf(32,axiom,
    ~ ( setIn @ nil @ alive ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).

thf(33,axiom,
    ! [Pid: $i,Pid2: $i] :
      ( ( ( host @ Pid )
       != ( host @ Pid2 ) )
     => ( Pid != Pid2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_33) ).

thf(34,axiom,
    ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
      ( ( Y1 != Y2 )
     => ( ( m_Ack @ X1 @ Y1 )
       != ( m_Ack @ X2 @ Y2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).

thf(35,axiom,
    ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
      ( ( X1 != X2 )
     => ( ( m_Ack @ X1 @ Y1 )
       != ( m_Ack @ X2 @ Y2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).

thf(36,axiom,
    ! [X: $i,Y: $i] :
      ( ( X != Y )
    <=> ( ( m_Down @ X )
       != ( m_Down @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).

thf(37,axiom,
    ! [X: $i,Y: $i] :
      ( ( X != Y )
    <=> ( ( m_Ldr @ X )
       != ( m_Ldr @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).

thf(40,axiom,
    ! [X: $i,Y: $i] :
      ( ( X != Y )
    <=> ( ( m_Halt @ X )
       != ( m_Halt @ Y ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).

thf(42,axiom,
    ! [X: $i,Y: $i] :
      ( ( m_Ldr @ X )
     != ( m_NotNorm @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).

thf(43,axiom,
    ! [X: $i,Y: $i] :
      ( ( m_Ldr @ X )
     != ( m_NormQ @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).

thf(44,axiom,
    ! [X: $i,Y: $i] :
      ( ( m_Ldr @ X )
     != ( m_Halt @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).

thf(45,axiom,
    ! [X: $i,Y: $i] :
      ( ( m_NormQ @ X )
     != ( m_Halt @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).

thf(46,axiom,
    ! [X: $i,Y: $i] :
      ( ( m_Down @ X )
     != ( m_NormQ @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).

thf(47,axiom,
    ! [X: $i,Y: $i] :
      ( ( m_Down @ X )
     != ( m_NotNorm @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).

thf(48,axiom,
    ! [X: $i,Y: $i] :
      ( ( m_Down @ X )
     != ( m_Ldr @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).

thf(49,axiom,
    ! [X: $i,Y: $i] :
      ( ( m_Down @ X )
     != ( m_Halt @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).

thf(50,axiom,
    ! [X: $i,Y: $i] :
      ( ( m_NotNorm @ X )
     != ( m_Halt @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).

thf(51,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( m_Ack @ X @ Y )
     != ( m_NormQ @ Z ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).

thf(52,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( m_Ack @ X @ Y )
     != ( m_Ldr @ Z ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

thf(53,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( m_Ack @ X @ Y )
     != ( m_NotNorm @ Z ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).

thf(54,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( m_Ack @ X @ Y )
     != ( m_Down @ Z ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).

thf(55,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( m_Ack @ X @ Y )
     != ( m_Halt @ Z ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

thf(56,axiom,
    norm != wait,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

thf(57,axiom,
    elec_2 != norm,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_09) ).

thf(58,axiom,
    elec_2 != wait,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_08) ).

thf(59,axiom,
    elec_1 != norm,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_07) ).

thf(60,axiom,
    elec_1 != wait,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_06) ).

thf(61,axiom,
    elec_1 != elec_2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_05) ).

thf(62,axiom,
    ! [P: $i] : ( leq @ ( host @ P ) @ nbr_proc ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_04) ).

thf(63,axiom,
    leq @ ( s @ zero ) @ nbr_proc,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_03) ).

thf(64,axiom,
    ! [P: $i] : ( leq @ ( s @ zero ) @ ( host @ P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_02) ).

thf(65,axiom,
    ! [P: $i,Q: $i] :
      ( ( ( s @ ( host @ P ) )
        = ( host @ Q ) )
     => ( ( host @ P )
       != ( host @ Q ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_01) ).

thf(66,axiom,
    ! [Pid: $i,Pid2: $i] :
      ( ( elem @ ( m_Ack @ Pid @ Pid2 ) @ ( queue @ ( host @ Pid ) ) )
     => ( ( setIn @ Pid @ pids )
        & ( setIn @ Pid2 @ pids ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom) ).

thf(67,conjecture,
    ! [V: $i,W: $i,X: $i,Y: $i] :
      ( ( ! [Z: $i] : ( leq @ ( index @ pendack @ ( host @ Z ) ) @ nbr_proc )
        & ! [Z: $i,Pid0: $i] :
            ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
           => ~ ( setIn @ Pid0 @ alive ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( elem @ ( m_Ldr @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
           => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
           => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
           => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ~ ( setIn @ Z @ alive )
              & ( leq @ Pid0 @ Z )
              & ( ( host @ Pid0 )
                = ( host @ Z ) ) )
           => ~ ( setIn @ Pid0 @ alive ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ( Pid0 != Z )
              & ( ( host @ Pid0 )
                = ( host @ Z ) ) )
           => ( ~ ( setIn @ Z @ alive )
              | ~ ( setIn @ Pid0 @ alive ) ) )
        & ! [Z: $i] :
            ( ( ( ( ( index @ status @ ( host @ Z ) )
                  = elec_1 )
                | ( ( index @ status @ ( host @ Z ) )
                  = elec_2 ) )
              & ( setIn @ Z @ alive ) )
           => ( ( index @ elid @ ( host @ Z ) )
              = Z ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ( setIn @ Pid0 @ alive )
              & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
              & ( ( host @ Pid20 )
                = ( host @ Z ) ) )
           => ~ ( ( setIn @ Z @ alive )
                & ( ( index @ ldr @ ( host @ Z ) )
                  = ( host @ Z ) )
                & ( ( index @ status @ ( host @ Z ) )
                  = norm ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) )
              & ( setIn @ Z @ alive )
              & ( setIn @ Pid0 @ alive )
              & ( ( index @ status @ ( host @ Z ) )
                = elec_2 )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ( setIn @ Pid0 @ alive )
              & ( elem @ ( m_Ack @ Pid0 @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
              & ( ( host @ Pid20 )
                = ( host @ Z ) ) )
           => ~ ( ( setIn @ Z @ alive )
                & ( ( index @ ldr @ ( host @ Z ) )
                  = ( host @ Z ) )
                & ( ( index @ status @ ( host @ Z ) )
                  = norm ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ~ ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) )
              & ( setIn @ Pid0 @ alive )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ~ ( ( setIn @ Z @ alive )
                & ( ( index @ ldr @ ( host @ Z ) )
                  = ( host @ Z ) )
                & ( ( index @ status @ ( host @ Z ) )
                  = norm ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ( setIn @ Z @ alive )
              & ( setIn @ Pid0 @ alive )
              & ( ( index @ ldr @ ( host @ Z ) )
                = ( host @ Z ) )
              & ( ( index @ status @ ( host @ Z ) )
                = norm )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = norm )
              & ( ( index @ ldr @ ( host @ Pid0 ) )
                = ( host @ Pid0 ) ) )
           => ( Pid0 = Z ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) )
              & ( setIn @ Z @ alive )
              & ( setIn @ Pid0 @ alive )
              & ( ( index @ status @ ( host @ Z ) )
                = elec_2 )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ~ ( leq @ ( index @ pendack @ ( host @ Z ) ) @ ( index @ pendack @ ( host @ Pid0 ) ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ~ ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) )
              & ( setIn @ Pid0 @ alive )
              & ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Pid20 ) ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ~ ( ( setIn @ Z @ alive )
                & ( ( index @ ldr @ ( host @ Z ) )
                  = ( host @ Z ) )
                & ( ( index @ status @ ( host @ Z ) )
                  = norm ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ! [V0: $i] :
                  ( ( ~ ( leq @ ( host @ Pid0 ) @ V0 )
                    & ( leq @ ( s @ zero ) @ V0 ) )
                 => ( ( setIn @ V0 @ ( index @ down @ ( host @ Pid0 ) ) )
                    | ( V0
                      = ( host @ Pid20 ) ) ) )
              & ~ ( leq @ ( host @ Pid0 ) @ ( host @ Z ) )
              & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_1 ) )
           => ~ ( ( setIn @ Z @ alive )
                & ( ( index @ ldr @ ( host @ Z ) )
                  = ( host @ Z ) )
                & ( ( index @ status @ ( host @ Z ) )
                  = norm ) ) )
        & ( ( queue @ ( host @ X ) )
          = ( cons @ ( m_Down @ Y ) @ V ) ) )
     => ( ( setIn @ X @ alive )
       => ( ~ ( leq @ ( host @ X ) @ ( host @ Y ) )
         => ( ~ ( ( ( ( index @ ldr @ ( host @ X ) )
                    = ( host @ Y ) )
                  & ( ( index @ status @ ( host @ X ) )
                    = norm ) )
                | ( ( ( index @ status @ ( host @ X ) )
                    = wait )
                  & ( ( host @ Y )
                    = ( host @ ( index @ elid @ ( host @ X ) ) ) ) ) )
           => ( ( ! [Z: $i] :
                    ( ( ~ ( leq @ ( host @ X ) @ Z )
                      & ( leq @ ( s @ zero ) @ Z ) )
                   => ( ( setIn @ Z @ ( index @ down @ ( host @ X ) ) )
                      | ( Z
                        = ( host @ Y ) ) ) )
                & ( ( index @ status @ ( host @ X ) )
                  = elec_1 ) )
             => ( ~ ( leq @ nbr_proc @ ( host @ X ) )
               => ! [Z: $i] :
                    ( ( ( host @ X )
                     != ( host @ Z ) )
                   => ! [W0: $i] :
                        ( ( ( s @ ( host @ X ) )
                          = ( host @ W0 ) )
                       => ( ( ( host @ X )
                           != ( host @ W0 ) )
                         => ! [X0: $i] :
                              ( ( ( host @ X )
                                = ( host @ X0 ) )
                             => ( ( ~ ( leq @ ( s @ ( host @ X ) ) @ ( host @ Z ) )
                                  & ( setIn @ X0 @ alive )
                                  & ( elem @ ( m_Halt @ X0 ) @ ( snoc @ ( queue @ ( host @ W0 ) ) @ ( m_Halt @ X ) ) ) )
                               => ~ ( ( setIn @ Z @ alive )
                                    & ( ( index @ ldr @ ( host @ Z ) )
                                      = ( host @ Z ) )
                                    & ( ( index @ status @ ( host @ Z ) )
                                      = norm ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

thf(68,negated_conjecture,
    ( ( ! [V: $i,W: $i,X: $i,Y: $i] :
          ( ( ! [Z: $i] : ( leq @ ( index @ pendack @ ( host @ Z ) ) @ nbr_proc )
            & ! [Z: $i,Pid0: $i] :
                ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
               => ~ ( setIn @ Pid0 @ alive ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( elem @ ( m_Ldr @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
               => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
               => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
               => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ~ ( setIn @ Z @ alive )
                  & ( leq @ Pid0 @ Z )
                  & ( ( host @ Pid0 )
                    = ( host @ Z ) ) )
               => ~ ( setIn @ Pid0 @ alive ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( Pid0 != Z )
                  & ( ( host @ Pid0 )
                    = ( host @ Z ) ) )
               => ( ~ ( setIn @ Z @ alive )
                  | ~ ( setIn @ Pid0 @ alive ) ) )
            & ! [Z: $i] :
                ( ( ( ( ( index @ status @ ( host @ Z ) )
                      = elec_1 )
                    | ( ( index @ status @ ( host @ Z ) )
                      = elec_2 ) )
                  & ( setIn @ Z @ alive ) )
               => ( ( index @ elid @ ( host @ Z ) )
                  = Z ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                  & ( ( host @ Pid20 )
                    = ( host @ Z ) ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( ( index @ ldr @ ( host @ Z ) )
                      = ( host @ Z ) )
                    & ( ( index @ status @ ( host @ Z ) )
                      = norm ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) )
                  & ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( index @ status @ ( host @ Z ) )
                    = elec_2 )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( elem @ ( m_Ack @ Pid0 @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                  & ( ( host @ Pid20 )
                    = ( host @ Z ) ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( ( index @ ldr @ ( host @ Z ) )
                      = ( host @ Z ) )
                    & ( ( index @ status @ ( host @ Z ) )
                      = norm ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ~ ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( ( index @ ldr @ ( host @ Z ) )
                      = ( host @ Z ) )
                    & ( ( index @ status @ ( host @ Z ) )
                      = norm ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( index @ ldr @ ( host @ Z ) )
                    = ( host @ Z ) )
                  & ( ( index @ status @ ( host @ Z ) )
                    = norm )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = norm )
                  & ( ( index @ ldr @ ( host @ Pid0 ) )
                    = ( host @ Pid0 ) ) )
               => ( Pid0 = Z ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) )
                  & ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( index @ status @ ( host @ Z ) )
                    = elec_2 )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( leq @ ( index @ pendack @ ( host @ Z ) ) @ ( index @ pendack @ ( host @ Pid0 ) ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ~ ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) )
                  & ( setIn @ Pid0 @ alive )
                  & ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Pid20 ) ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( ( index @ ldr @ ( host @ Z ) )
                      = ( host @ Z ) )
                    & ( ( index @ status @ ( host @ Z ) )
                      = norm ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ! [V0: $i] :
                      ( ( ~ ( leq @ ( host @ Pid0 ) @ V0 )
                        & ( leq @ ( s @ zero ) @ V0 ) )
                     => ( ( setIn @ V0 @ ( index @ down @ ( host @ Pid0 ) ) )
                        | ( V0
                          = ( host @ Pid20 ) ) ) )
                  & ~ ( leq @ ( host @ Pid0 ) @ ( host @ Z ) )
                  & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_1 ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( ( index @ ldr @ ( host @ Z ) )
                      = ( host @ Z ) )
                    & ( ( index @ status @ ( host @ Z ) )
                      = norm ) ) )
            & ( ( queue @ ( host @ X ) )
              = ( cons @ ( m_Down @ Y ) @ V ) ) )
         => ( ( setIn @ X @ alive )
           => ( ~ ( leq @ ( host @ X ) @ ( host @ Y ) )
             => ( ~ ( ( ( ( index @ ldr @ ( host @ X ) )
                        = ( host @ Y ) )
                      & ( ( index @ status @ ( host @ X ) )
                        = norm ) )
                    | ( ( ( index @ status @ ( host @ X ) )
                        = wait )
                      & ( ( host @ Y )
                        = ( host @ ( index @ elid @ ( host @ X ) ) ) ) ) )
               => ( ( ! [Z: $i] :
                        ( ( ~ ( leq @ ( host @ X ) @ Z )
                          & ( leq @ ( s @ zero ) @ Z ) )
                       => ( ( setIn @ Z @ ( index @ down @ ( host @ X ) ) )
                          | ( Z
                            = ( host @ Y ) ) ) )
                    & ( ( index @ status @ ( host @ X ) )
                      = elec_1 ) )
                 => ( ~ ( leq @ nbr_proc @ ( host @ X ) )
                   => ! [Z: $i] :
                        ( ( ( host @ X )
                         != ( host @ Z ) )
                       => ! [W0: $i] :
                            ( ( ( s @ ( host @ X ) )
                              = ( host @ W0 ) )
                           => ( ( ( host @ X )
                               != ( host @ W0 ) )
                             => ! [X0: $i] :
                                  ( ( ( host @ X )
                                    = ( host @ X0 ) )
                                 => ( ( ~ ( leq @ ( s @ ( host @ X ) ) @ ( host @ Z ) )
                                      & ( setIn @ X0 @ alive )
                                      & ( elem @ ( m_Halt @ X0 ) @ ( snoc @ ( queue @ ( host @ W0 ) ) @ ( m_Halt @ X ) ) ) )
                                   => ~ ( ( setIn @ Z @ alive )
                                        & ( ( index @ ldr @ ( host @ Z ) )
                                          = ( host @ Z ) )
                                        & ( ( index @ status @ ( host @ Z ) )
                                          = norm ) ) ) ) ) ) ) ) ) ) ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[67]) ).

thf(69,plain,
    ( ( ! [V: $i,W: $i,X: $i,Y: $i] :
          ( ( ! [Z: $i] : ( leq @ ( index @ pendack @ ( host @ Z ) ) @ nbr_proc )
            & ! [Z: $i,Pid0: $i] :
                ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
               => ~ ( setIn @ Pid0 @ alive ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( elem @ ( m_Ldr @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
               => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
               => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
               => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ~ ( setIn @ Z @ alive )
                  & ( leq @ Pid0 @ Z )
                  & ( ( host @ Pid0 )
                    = ( host @ Z ) ) )
               => ~ ( setIn @ Pid0 @ alive ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( Pid0 != Z )
                  & ( ( host @ Pid0 )
                    = ( host @ Z ) ) )
               => ( ~ ( setIn @ Z @ alive )
                  | ~ ( setIn @ Pid0 @ alive ) ) )
            & ! [Z: $i] :
                ( ( ( ( ( index @ status @ ( host @ Z ) )
                      = elec_1 )
                    | ( ( index @ status @ ( host @ Z ) )
                      = elec_2 ) )
                  & ( setIn @ Z @ alive ) )
               => ( ( index @ elid @ ( host @ Z ) )
                  = Z ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                  & ( ( host @ Pid20 )
                    = ( host @ Z ) ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( ( index @ ldr @ ( host @ Z ) )
                      = ( host @ Z ) )
                    & ( ( index @ status @ ( host @ Z ) )
                      = norm ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) )
                  & ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( index @ status @ ( host @ Z ) )
                    = elec_2 )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( elem @ ( m_Ack @ Pid0 @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                  & ( ( host @ Pid20 )
                    = ( host @ Z ) ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( ( index @ ldr @ ( host @ Z ) )
                      = ( host @ Z ) )
                    & ( ( index @ status @ ( host @ Z ) )
                      = norm ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ~ ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( ( index @ ldr @ ( host @ Z ) )
                      = ( host @ Z ) )
                    & ( ( index @ status @ ( host @ Z ) )
                      = norm ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( index @ ldr @ ( host @ Z ) )
                    = ( host @ Z ) )
                  & ( ( index @ status @ ( host @ Z ) )
                    = norm )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = norm )
                  & ( ( index @ ldr @ ( host @ Pid0 ) )
                    = ( host @ Pid0 ) ) )
               => ( Pid0 = Z ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) )
                  & ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( index @ status @ ( host @ Z ) )
                    = elec_2 )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( leq @ ( index @ pendack @ ( host @ Z ) ) @ ( index @ pendack @ ( host @ Pid0 ) ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ~ ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) )
                  & ( setIn @ Pid0 @ alive )
                  & ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Pid20 ) ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( ( index @ ldr @ ( host @ Z ) )
                      = ( host @ Z ) )
                    & ( ( index @ status @ ( host @ Z ) )
                      = norm ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ! [V0: $i] :
                      ( ( ~ ( leq @ ( host @ Pid0 ) @ V0 )
                        & ( leq @ ( s @ zero ) @ V0 ) )
                     => ( ( setIn @ V0 @ ( index @ down @ ( host @ Pid0 ) ) )
                        | ( V0
                          = ( host @ Pid20 ) ) ) )
                  & ~ ( leq @ ( host @ Pid0 ) @ ( host @ Z ) )
                  & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_1 ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( ( index @ ldr @ ( host @ Z ) )
                      = ( host @ Z ) )
                    & ( ( index @ status @ ( host @ Z ) )
                      = norm ) ) )
            & ( ( queue @ ( host @ X ) )
              = ( cons @ ( m_Down @ Y ) @ V ) ) )
         => ( ( setIn @ X @ alive )
           => ( ~ ( leq @ ( host @ X ) @ ( host @ Y ) )
             => ( ~ ( ( ( ( index @ ldr @ ( host @ X ) )
                        = ( host @ Y ) )
                      & ( ( index @ status @ ( host @ X ) )
                        = norm ) )
                    | ( ( ( index @ status @ ( host @ X ) )
                        = wait )
                      & ( ( host @ Y )
                        = ( host @ ( index @ elid @ ( host @ X ) ) ) ) ) )
               => ( ( ! [Z: $i] :
                        ( ( ~ ( leq @ ( host @ X ) @ Z )
                          & ( leq @ ( s @ zero ) @ Z ) )
                       => ( ( setIn @ Z @ ( index @ down @ ( host @ X ) ) )
                          | ( Z
                            = ( host @ Y ) ) ) )
                    & ( ( index @ status @ ( host @ X ) )
                      = elec_1 ) )
                 => ( ~ ( leq @ nbr_proc @ ( host @ X ) )
                   => ! [Z: $i] :
                        ( ( ( host @ X )
                         != ( host @ Z ) )
                       => ! [W0: $i] :
                            ( ( ( s @ ( host @ X ) )
                              = ( host @ W0 ) )
                           => ( ( ( host @ X )
                               != ( host @ W0 ) )
                             => ! [X0: $i] :
                                  ( ( ( host @ X )
                                    = ( host @ X0 ) )
                                 => ( ( ~ ( leq @ ( s @ ( host @ X ) ) @ ( host @ Z ) )
                                      & ( setIn @ X0 @ alive )
                                      & ( elem @ ( m_Halt @ X0 ) @ ( snoc @ ( queue @ ( host @ W0 ) ) @ ( m_Halt @ X ) ) ) )
                                   => ~ ( ( setIn @ Z @ alive )
                                        & ( ( index @ ldr @ ( host @ Z ) )
                                          = ( host @ Z ) )
                                        & ( ( index @ status @ ( host @ Z ) )
                                          = norm ) ) ) ) ) ) ) ) ) ) ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[68]) ).

thf(70,plain,
    ( ( ! [X: $i] :
          ~ ( setIn @ X @ setEmpty ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(71,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( leq @ X @ ( s @ Y ) )
        <=> ( ( X
              = ( s @ Y ) )
            | ( leq @ X @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(72,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( leq @ X @ Y )
        <=> ( leq @ ( s @ X ) @ ( s @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(73,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( ( leq @ X @ Y )
            & ( leq @ Y @ Z ) )
         => ( leq @ X @ Z ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(74,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( ( leq @ X @ Y )
            & ( leq @ Y @ X ) )
        <=> ( X = Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(75,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( leq @ X @ Y )
          | ( leq @ Y @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(76,plain,
    ( ( ! [X: $i] : ( leq @ X @ X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(77,plain,
    ( ( ! [X: $i] :
          ~ ( leq @ ( s @ X ) @ X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(78,plain,
    ( ( ! [Q: $i,X: $i,Y: $i] :
          ( ( ( ordered @ ( cons @ ( m_Halt @ X ) @ Q ) )
            & ( ( host @ X )
              = ( host @ Y ) )
            & ( elem @ ( m_Down @ Y ) @ Q ) )
         => ( leq @ X @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(79,plain,
    ( ( ! [Q: $i,X: $i] :
          ( ( ordered @ Q )
         => ( ordered @ ( snoc @ Q @ ( m_Ldr @ X ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(80,plain,
    ( ( ! [Q: $i,X: $i,Y: $i] :
          ( ( ordered @ Q )
         => ( ordered @ ( snoc @ Q @ ( m_Ack @ X @ Y ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(81,plain,
    ( ( ! [X: $i] :
          ( ( pidMsg @ ( m_Down @ X ) )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(82,plain,
    ( ( ! [X: $i] :
          ( ( pidMsg @ ( m_Halt @ X ) )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(83,plain,
    ( ( ! [X: $i] :
          ( ( pidElem @ X )
        <=> ? [Y: $i] :
              ( ( X
                = ( m_Halt @ Y ) )
              | ( X
                = ( m_Down @ Y ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(84,plain,
    ( ( ! [X: $i,Y: $i,Q: $i] :
          ( ( elem @ X @ ( snoc @ Q @ Y ) )
        <=> ( ( X = Y )
            | ( elem @ X @ Q ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(85,plain,
    ( ( ! [X: $i,Y: $i,Q: $i] :
          ( ( elem @ X @ ( cons @ Y @ Q ) )
        <=> ( ( X = Y )
            | ( elem @ X @ Q ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(86,plain,
    ( ( ! [X: $i] :
          ~ ( elem @ X @ q_nil ) )
    = $true ),
    inference(unfold_def,[status(thm)],[21]) ).

thf(87,plain,
    ( ( ! [X: $i,Y: $i,Q: $i] :
          ( ( snoc @ ( cons @ X @ Q ) @ Y )
          = ( cons @ X @ ( snoc @ Q @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[22]) ).

thf(88,plain,
    ( ( ! [X: $i] :
          ( ( cons @ X @ q_nil )
          = ( snoc @ q_nil @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[23]) ).

thf(89,plain,
    ( ( ! [Y: $i,Q: $i] :
          ( q_nil
         != ( snoc @ Q @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[24]) ).

thf(90,plain,
    ( ( ! [X: $i,Q: $i] :
          ( q_nil
         != ( cons @ X @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(91,plain,
    ( ( ! [Y: $i,Q: $i] :
          ( ( init @ ( snoc @ Q @ Y ) )
          = Q ) )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(92,plain,
    ( ( ! [Y: $i,Q: $i] :
          ( ( last @ ( snoc @ Q @ Y ) )
          = Y ) )
    = $true ),
    inference(unfold_def,[status(thm)],[29]) ).

thf(93,plain,
    ( ( ! [X: $i,Q: $i] :
          ( ( tail @ ( cons @ X @ Q ) )
          = Q ) )
    = $true ),
    inference(unfold_def,[status(thm)],[30]) ).

thf(94,plain,
    ( ( ! [X: $i,Q: $i] :
          ( ( head @ ( cons @ X @ Q ) )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(95,plain,
    ( ( ~ ( setIn @ nil @ alive ) )
    = $true ),
    inference(unfold_def,[status(thm)],[32]) ).

thf(96,plain,
    ( ( ! [Pid: $i,Pid2: $i] :
          ( ( ( host @ Pid )
           != ( host @ Pid2 ) )
         => ( Pid != Pid2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[33]) ).

thf(97,plain,
    ( ( ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
          ( ( Y1 != Y2 )
         => ( ( m_Ack @ X1 @ Y1 )
           != ( m_Ack @ X2 @ Y2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[34]) ).

thf(98,plain,
    ( ( ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
          ( ( X1 != X2 )
         => ( ( m_Ack @ X1 @ Y1 )
           != ( m_Ack @ X2 @ Y2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[35]) ).

thf(99,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
        <=> ( ( m_Down @ X )
           != ( m_Down @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[36]) ).

thf(100,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
        <=> ( ( m_Ldr @ X )
           != ( m_Ldr @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[37]) ).

thf(101,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
        <=> ( ( m_Halt @ X )
           != ( m_Halt @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[40]) ).

thf(102,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Ldr @ X )
         != ( m_NotNorm @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[42]) ).

thf(103,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Ldr @ X )
         != ( m_NormQ @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[43]) ).

thf(104,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Ldr @ X )
         != ( m_Halt @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[44]) ).

thf(105,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_NormQ @ X )
         != ( m_Halt @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[45]) ).

thf(106,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_NormQ @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[46]) ).

thf(107,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_NotNorm @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[47]) ).

thf(108,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_Ldr @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[48]) ).

thf(109,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_Halt @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[49]) ).

thf(110,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_NotNorm @ X )
         != ( m_Halt @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[50]) ).

thf(111,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_NormQ @ Z ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[51]) ).

thf(112,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_Ldr @ Z ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[52]) ).

thf(113,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_NotNorm @ Z ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[53]) ).

thf(114,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_Down @ Z ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[54]) ).

thf(115,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_Halt @ Z ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[55]) ).

thf(116,plain,
    ( ( norm != wait )
    = $true ),
    inference(unfold_def,[status(thm)],[56]) ).

thf(117,plain,
    ( ( elec_2 != norm )
    = $true ),
    inference(unfold_def,[status(thm)],[57]) ).

thf(118,plain,
    ( ( elec_2 != wait )
    = $true ),
    inference(unfold_def,[status(thm)],[58]) ).

thf(119,plain,
    ( ( elec_1 != norm )
    = $true ),
    inference(unfold_def,[status(thm)],[59]) ).

thf(120,plain,
    ( ( elec_1 != wait )
    = $true ),
    inference(unfold_def,[status(thm)],[60]) ).

thf(121,plain,
    ( ( elec_1 != elec_2 )
    = $true ),
    inference(unfold_def,[status(thm)],[61]) ).

thf(122,plain,
    ( ( ! [P: $i] : ( leq @ ( host @ P ) @ nbr_proc ) )
    = $true ),
    inference(unfold_def,[status(thm)],[62]) ).

thf(123,plain,
    ( ( leq @ ( s @ zero ) @ nbr_proc )
    = $true ),
    inference(unfold_def,[status(thm)],[63]) ).

thf(124,plain,
    ( ( ! [P: $i] : ( leq @ ( s @ zero ) @ ( host @ P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[64]) ).

thf(125,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( ( s @ ( host @ P ) )
            = ( host @ Q ) )
         => ( ( host @ P )
           != ( host @ Q ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[65]) ).

thf(126,plain,
    ( ( ! [Pid: $i,Pid2: $i] :
          ( ( elem @ ( m_Ack @ Pid @ Pid2 ) @ ( queue @ ( host @ Pid ) ) )
         => ( ( setIn @ Pid @ pids )
            & ( setIn @ Pid2 @ pids ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[66]) ).

thf(127,plain,
    ( ( ! [SY148: $i,SY149: $i,SY150: $i] :
          ( ( ! [Z: $i] : ( leq @ ( index @ pendack @ ( host @ Z ) ) @ nbr_proc )
            & ! [Z: $i,Pid0: $i] :
                ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
               => ~ ( setIn @ Pid0 @ alive ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( elem @ ( m_Ldr @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
               => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
               => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
               => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ~ ( setIn @ Z @ alive )
                  & ( leq @ Pid0 @ Z )
                  & ( ( host @ Pid0 )
                    = ( host @ Z ) ) )
               => ~ ( setIn @ Pid0 @ alive ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( Pid0 != Z )
                  & ( ( host @ Pid0 )
                    = ( host @ Z ) ) )
               => ( ~ ( setIn @ Z @ alive )
                  | ~ ( setIn @ Pid0 @ alive ) ) )
            & ! [Z: $i] :
                ( ( ( ( ( index @ status @ ( host @ Z ) )
                      = elec_1 )
                    | ( ( index @ status @ ( host @ Z ) )
                      = elec_2 ) )
                  & ( setIn @ Z @ alive ) )
               => ( ( index @ elid @ ( host @ Z ) )
                  = Z ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                  & ( ( host @ Pid20 )
                    = ( host @ Z ) ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( ( index @ ldr @ ( host @ Z ) )
                      = ( host @ Z ) )
                    & ( ( index @ status @ ( host @ Z ) )
                      = norm ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) )
                  & ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( index @ status @ ( host @ Z ) )
                    = elec_2 )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( elem @ ( m_Ack @ Pid0 @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                  & ( ( host @ Pid20 )
                    = ( host @ Z ) ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( ( index @ ldr @ ( host @ Z ) )
                      = ( host @ Z ) )
                    & ( ( index @ status @ ( host @ Z ) )
                      = norm ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ~ ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( ( index @ ldr @ ( host @ Z ) )
                      = ( host @ Z ) )
                    & ( ( index @ status @ ( host @ Z ) )
                      = norm ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( index @ ldr @ ( host @ Z ) )
                    = ( host @ Z ) )
                  & ( ( index @ status @ ( host @ Z ) )
                    = norm )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = norm )
                  & ( ( index @ ldr @ ( host @ Pid0 ) )
                    = ( host @ Pid0 ) ) )
               => ( Pid0 = Z ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) )
                  & ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( index @ status @ ( host @ Z ) )
                    = elec_2 )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( leq @ ( index @ pendack @ ( host @ Z ) ) @ ( index @ pendack @ ( host @ Pid0 ) ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ~ ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) )
                  & ( setIn @ Pid0 @ alive )
                  & ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Pid20 ) ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( ( index @ ldr @ ( host @ Z ) )
                      = ( host @ Z ) )
                    & ( ( index @ status @ ( host @ Z ) )
                      = norm ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ! [V0: $i] :
                      ( ( ~ ( leq @ ( host @ Pid0 ) @ V0 )
                        & ( leq @ ( s @ zero ) @ V0 ) )
                     => ( ( setIn @ V0 @ ( index @ down @ ( host @ Pid0 ) ) )
                        | ( V0
                          = ( host @ Pid20 ) ) ) )
                  & ~ ( leq @ ( host @ Pid0 ) @ ( host @ Z ) )
                  & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_1 ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( ( index @ ldr @ ( host @ Z ) )
                      = ( host @ Z ) )
                    & ( ( index @ status @ ( host @ Z ) )
                      = norm ) ) )
            & ( ( queue @ ( host @ SY149 ) )
              = ( cons @ ( m_Down @ SY150 ) @ sK1_V ) ) )
         => ( ( setIn @ SY149 @ alive )
           => ( ~ ( leq @ ( host @ SY149 ) @ ( host @ SY150 ) )
             => ( ~ ( ( ( ( index @ ldr @ ( host @ SY149 ) )
                        = ( host @ SY150 ) )
                      & ( ( index @ status @ ( host @ SY149 ) )
                        = norm ) )
                    | ( ( ( index @ status @ ( host @ SY149 ) )
                        = wait )
                      & ( ( host @ SY150 )
                        = ( host @ ( index @ elid @ ( host @ SY149 ) ) ) ) ) )
               => ( ( ! [Z: $i] :
                        ( ( ~ ( leq @ ( host @ SY149 ) @ Z )
                          & ( leq @ ( s @ zero ) @ Z ) )
                       => ( ( setIn @ Z @ ( index @ down @ ( host @ SY149 ) ) )
                          | ( Z
                            = ( host @ SY150 ) ) ) )
                    & ( ( index @ status @ ( host @ SY149 ) )
                      = elec_1 ) )
                 => ( ~ ( leq @ nbr_proc @ ( host @ SY149 ) )
                   => ! [Z: $i] :
                        ( ( ( host @ SY149 )
                         != ( host @ Z ) )
                       => ! [W0: $i] :
                            ( ( ( s @ ( host @ SY149 ) )
                              = ( host @ W0 ) )
                           => ( ( ( host @ SY149 )
                               != ( host @ W0 ) )
                             => ! [X0: $i] :
                                  ( ( ( host @ SY149 )
                                    = ( host @ X0 ) )
                                 => ( ( ~ ( leq @ ( s @ ( host @ SY149 ) ) @ ( host @ Z ) )
                                      & ( setIn @ X0 @ alive )
                                      & ( elem @ ( m_Halt @ X0 ) @ ( snoc @ ( queue @ ( host @ W0 ) ) @ ( m_Halt @ SY149 ) ) ) )
                                   => ~ ( ( setIn @ Z @ alive )
                                        & ( ( index @ ldr @ ( host @ Z ) )
                                          = ( host @ Z ) )
                                        & ( ( index @ status @ ( host @ Z ) )
                                          = norm ) ) ) ) ) ) ) ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[69]) ).

thf(128,plain,
    ( ( ! [SY149: $i,SY150: $i] :
          ( ( ! [Z: $i] : ( leq @ ( index @ pendack @ ( host @ Z ) ) @ nbr_proc )
            & ! [Z: $i,Pid0: $i] :
                ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
               => ~ ( setIn @ Pid0 @ alive ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( elem @ ( m_Ldr @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
               => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
               => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
               => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ~ ( setIn @ Z @ alive )
                  & ( leq @ Pid0 @ Z )
                  & ( ( host @ Pid0 )
                    = ( host @ Z ) ) )
               => ~ ( setIn @ Pid0 @ alive ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( Pid0 != Z )
                  & ( ( host @ Pid0 )
                    = ( host @ Z ) ) )
               => ( ~ ( setIn @ Z @ alive )
                  | ~ ( setIn @ Pid0 @ alive ) ) )
            & ! [Z: $i] :
                ( ( ( ( ( index @ status @ ( host @ Z ) )
                      = elec_1 )
                    | ( ( index @ status @ ( host @ Z ) )
                      = elec_2 ) )
                  & ( setIn @ Z @ alive ) )
               => ( ( index @ elid @ ( host @ Z ) )
                  = Z ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                  & ( ( host @ Pid20 )
                    = ( host @ Z ) ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( ( index @ ldr @ ( host @ Z ) )
                      = ( host @ Z ) )
                    & ( ( index @ status @ ( host @ Z ) )
                      = norm ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) )
                  & ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( index @ status @ ( host @ Z ) )
                    = elec_2 )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( elem @ ( m_Ack @ Pid0 @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                  & ( ( host @ Pid20 )
                    = ( host @ Z ) ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( ( index @ ldr @ ( host @ Z ) )
                      = ( host @ Z ) )
                    & ( ( index @ status @ ( host @ Z ) )
                      = norm ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ~ ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( ( index @ ldr @ ( host @ Z ) )
                      = ( host @ Z ) )
                    & ( ( index @ status @ ( host @ Z ) )
                      = norm ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( index @ ldr @ ( host @ Z ) )
                    = ( host @ Z ) )
                  & ( ( index @ status @ ( host @ Z ) )
                    = norm )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = norm )
                  & ( ( index @ ldr @ ( host @ Pid0 ) )
                    = ( host @ Pid0 ) ) )
               => ( Pid0 = Z ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) )
                  & ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( index @ status @ ( host @ Z ) )
                    = elec_2 )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( leq @ ( index @ pendack @ ( host @ Z ) ) @ ( index @ pendack @ ( host @ Pid0 ) ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ~ ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) )
                  & ( setIn @ Pid0 @ alive )
                  & ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Pid20 ) ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( ( index @ ldr @ ( host @ Z ) )
                      = ( host @ Z ) )
                    & ( ( index @ status @ ( host @ Z ) )
                      = norm ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ! [V0: $i] :
                      ( ( ~ ( leq @ ( host @ Pid0 ) @ V0 )
                        & ( leq @ ( s @ zero ) @ V0 ) )
                     => ( ( setIn @ V0 @ ( index @ down @ ( host @ Pid0 ) ) )
                        | ( V0
                          = ( host @ Pid20 ) ) ) )
                  & ~ ( leq @ ( host @ Pid0 ) @ ( host @ Z ) )
                  & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_1 ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( ( index @ ldr @ ( host @ Z ) )
                      = ( host @ Z ) )
                    & ( ( index @ status @ ( host @ Z ) )
                      = norm ) ) )
            & ( ( queue @ ( host @ SY149 ) )
              = ( cons @ ( m_Down @ SY150 ) @ sK1_V ) ) )
         => ( ( setIn @ SY149 @ alive )
           => ( ~ ( leq @ ( host @ SY149 ) @ ( host @ SY150 ) )
             => ( ~ ( ( ( ( index @ ldr @ ( host @ SY149 ) )
                        = ( host @ SY150 ) )
                      & ( ( index @ status @ ( host @ SY149 ) )
                        = norm ) )
                    | ( ( ( index @ status @ ( host @ SY149 ) )
                        = wait )
                      & ( ( host @ SY150 )
                        = ( host @ ( index @ elid @ ( host @ SY149 ) ) ) ) ) )
               => ( ( ! [Z: $i] :
                        ( ( ~ ( leq @ ( host @ SY149 ) @ Z )
                          & ( leq @ ( s @ zero ) @ Z ) )
                       => ( ( setIn @ Z @ ( index @ down @ ( host @ SY149 ) ) )
                          | ( Z
                            = ( host @ SY150 ) ) ) )
                    & ( ( index @ status @ ( host @ SY149 ) )
                      = elec_1 ) )
                 => ( ~ ( leq @ nbr_proc @ ( host @ SY149 ) )
                   => ! [Z: $i] :
                        ( ( ( host @ SY149 )
                         != ( host @ Z ) )
                       => ! [W0: $i] :
                            ( ( ( s @ ( host @ SY149 ) )
                              = ( host @ W0 ) )
                           => ( ( ( host @ SY149 )
                               != ( host @ W0 ) )
                             => ! [X0: $i] :
                                  ( ( ( host @ SY149 )
                                    = ( host @ X0 ) )
                                 => ( ( ~ ( leq @ ( s @ ( host @ SY149 ) ) @ ( host @ Z ) )
                                      & ( setIn @ X0 @ alive )
                                      & ( elem @ ( m_Halt @ X0 ) @ ( snoc @ ( queue @ ( host @ W0 ) ) @ ( m_Halt @ SY149 ) ) ) )
                                   => ~ ( ( setIn @ Z @ alive )
                                        & ( ( index @ ldr @ ( host @ Z ) )
                                          = ( host @ Z ) )
                                        & ( ( index @ status @ ( host @ Z ) )
                                          = norm ) ) ) ) ) ) ) ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[127]) ).

thf(129,plain,
    ( ( ! [SY233: $i] :
          ( ( ! [Z: $i] : ( leq @ ( index @ pendack @ ( host @ Z ) ) @ nbr_proc )
            & ! [Z: $i,Pid0: $i] :
                ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
               => ~ ( setIn @ Pid0 @ alive ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( elem @ ( m_Ldr @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
               => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
               => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
               => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ~ ( setIn @ Z @ alive )
                  & ( leq @ Pid0 @ Z )
                  & ( ( host @ Pid0 )
                    = ( host @ Z ) ) )
               => ~ ( setIn @ Pid0 @ alive ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( Pid0 != Z )
                  & ( ( host @ Pid0 )
                    = ( host @ Z ) ) )
               => ( ~ ( setIn @ Z @ alive )
                  | ~ ( setIn @ Pid0 @ alive ) ) )
            & ! [Z: $i] :
                ( ( ( ( ( index @ status @ ( host @ Z ) )
                      = elec_1 )
                    | ( ( index @ status @ ( host @ Z ) )
                      = elec_2 ) )
                  & ( setIn @ Z @ alive ) )
               => ( ( index @ elid @ ( host @ Z ) )
                  = Z ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                  & ( ( host @ Pid20 )
                    = ( host @ Z ) ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( ( index @ ldr @ ( host @ Z ) )
                      = ( host @ Z ) )
                    & ( ( index @ status @ ( host @ Z ) )
                      = norm ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) )
                  & ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( index @ status @ ( host @ Z ) )
                    = elec_2 )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( elem @ ( m_Ack @ Pid0 @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                  & ( ( host @ Pid20 )
                    = ( host @ Z ) ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( ( index @ ldr @ ( host @ Z ) )
                      = ( host @ Z ) )
                    & ( ( index @ status @ ( host @ Z ) )
                      = norm ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ~ ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( ( index @ ldr @ ( host @ Z ) )
                      = ( host @ Z ) )
                    & ( ( index @ status @ ( host @ Z ) )
                      = norm ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( index @ ldr @ ( host @ Z ) )
                    = ( host @ Z ) )
                  & ( ( index @ status @ ( host @ Z ) )
                    = norm )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = norm )
                  & ( ( index @ ldr @ ( host @ Pid0 ) )
                    = ( host @ Pid0 ) ) )
               => ( Pid0 = Z ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) )
                  & ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( index @ status @ ( host @ Z ) )
                    = elec_2 )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( leq @ ( index @ pendack @ ( host @ Z ) ) @ ( index @ pendack @ ( host @ Pid0 ) ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ~ ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) )
                  & ( setIn @ Pid0 @ alive )
                  & ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Pid20 ) ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( ( index @ ldr @ ( host @ Z ) )
                      = ( host @ Z ) )
                    & ( ( index @ status @ ( host @ Z ) )
                      = norm ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ! [V0: $i] :
                      ( ( ~ ( leq @ ( host @ Pid0 ) @ V0 )
                        & ( leq @ ( s @ zero ) @ V0 ) )
                     => ( ( setIn @ V0 @ ( index @ down @ ( host @ Pid0 ) ) )
                        | ( V0
                          = ( host @ Pid20 ) ) ) )
                  & ~ ( leq @ ( host @ Pid0 ) @ ( host @ Z ) )
                  & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_1 ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( ( index @ ldr @ ( host @ Z ) )
                      = ( host @ Z ) )
                    & ( ( index @ status @ ( host @ Z ) )
                      = norm ) ) )
            & ( ( queue @ ( host @ sK3_SY149 ) )
              = ( cons @ ( m_Down @ SY233 ) @ sK1_V ) ) )
         => ( ( setIn @ sK3_SY149 @ alive )
           => ( ~ ( leq @ ( host @ sK3_SY149 ) @ ( host @ SY233 ) )
             => ( ~ ( ( ( ( index @ ldr @ ( host @ sK3_SY149 ) )
                        = ( host @ SY233 ) )
                      & ( ( index @ status @ ( host @ sK3_SY149 ) )
                        = norm ) )
                    | ( ( ( index @ status @ ( host @ sK3_SY149 ) )
                        = wait )
                      & ( ( host @ SY233 )
                        = ( host @ ( index @ elid @ ( host @ sK3_SY149 ) ) ) ) ) )
               => ( ( ! [SY270: $i] :
                        ( ( ~ ( leq @ ( host @ sK3_SY149 ) @ SY270 )
                          & ( leq @ ( s @ zero ) @ SY270 ) )
                       => ( ( setIn @ SY270 @ ( index @ down @ ( host @ sK3_SY149 ) ) )
                          | ( SY270
                            = ( host @ SY233 ) ) ) )
                    & ( ( index @ status @ ( host @ sK3_SY149 ) )
                      = elec_1 ) )
                 => ( ~ ( leq @ nbr_proc @ ( host @ sK3_SY149 ) )
                   => ! [SY271: $i] :
                        ( ( ( host @ sK3_SY149 )
                         != ( host @ SY271 ) )
                       => ! [SY272: $i] :
                            ( ( ( s @ ( host @ sK3_SY149 ) )
                              = ( host @ SY272 ) )
                           => ( ( ( host @ sK3_SY149 )
                               != ( host @ SY272 ) )
                             => ! [SY273: $i] :
                                  ( ( ( host @ sK3_SY149 )
                                    = ( host @ SY273 ) )
                                 => ( ( ~ ( leq @ ( s @ ( host @ sK3_SY149 ) ) @ ( host @ SY271 ) )
                                      & ( setIn @ SY273 @ alive )
                                      & ( elem @ ( m_Halt @ SY273 ) @ ( snoc @ ( queue @ ( host @ SY272 ) ) @ ( m_Halt @ sK3_SY149 ) ) ) )
                                   => ~ ( ( setIn @ SY271 @ alive )
                                        & ( ( index @ ldr @ ( host @ SY271 ) )
                                          = ( host @ SY271 ) )
                                        & ( ( index @ status @ ( host @ SY271 ) )
                                          = norm ) ) ) ) ) ) ) ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[128]) ).

thf(130,plain,
    ( ( ( ! [Z: $i] : ( leq @ ( index @ pendack @ ( host @ Z ) ) @ nbr_proc )
        & ! [Z: $i,Pid0: $i] :
            ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
           => ~ ( setIn @ Pid0 @ alive ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( elem @ ( m_Ldr @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
           => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
           => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
           => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ~ ( setIn @ Z @ alive )
              & ( leq @ Pid0 @ Z )
              & ( ( host @ Pid0 )
                = ( host @ Z ) ) )
           => ~ ( setIn @ Pid0 @ alive ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ( Pid0 != Z )
              & ( ( host @ Pid0 )
                = ( host @ Z ) ) )
           => ( ~ ( setIn @ Z @ alive )
              | ~ ( setIn @ Pid0 @ alive ) ) )
        & ! [Z: $i] :
            ( ( ( ( ( index @ status @ ( host @ Z ) )
                  = elec_1 )
                | ( ( index @ status @ ( host @ Z ) )
                  = elec_2 ) )
              & ( setIn @ Z @ alive ) )
           => ( ( index @ elid @ ( host @ Z ) )
              = Z ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ( setIn @ Pid0 @ alive )
              & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
              & ( ( host @ Pid20 )
                = ( host @ Z ) ) )
           => ~ ( ( setIn @ Z @ alive )
                & ( ( index @ ldr @ ( host @ Z ) )
                  = ( host @ Z ) )
                & ( ( index @ status @ ( host @ Z ) )
                  = norm ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) )
              & ( setIn @ Z @ alive )
              & ( setIn @ Pid0 @ alive )
              & ( ( index @ status @ ( host @ Z ) )
                = elec_2 )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ( setIn @ Pid0 @ alive )
              & ( elem @ ( m_Ack @ Pid0 @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
              & ( ( host @ Pid20 )
                = ( host @ Z ) ) )
           => ~ ( ( setIn @ Z @ alive )
                & ( ( index @ ldr @ ( host @ Z ) )
                  = ( host @ Z ) )
                & ( ( index @ status @ ( host @ Z ) )
                  = norm ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ~ ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) )
              & ( setIn @ Pid0 @ alive )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ~ ( ( setIn @ Z @ alive )
                & ( ( index @ ldr @ ( host @ Z ) )
                  = ( host @ Z ) )
                & ( ( index @ status @ ( host @ Z ) )
                  = norm ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ( setIn @ Z @ alive )
              & ( setIn @ Pid0 @ alive )
              & ( ( index @ ldr @ ( host @ Z ) )
                = ( host @ Z ) )
              & ( ( index @ status @ ( host @ Z ) )
                = norm )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = norm )
              & ( ( index @ ldr @ ( host @ Pid0 ) )
                = ( host @ Pid0 ) ) )
           => ( Pid0 = Z ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) )
              & ( setIn @ Z @ alive )
              & ( setIn @ Pid0 @ alive )
              & ( ( index @ status @ ( host @ Z ) )
                = elec_2 )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ~ ( leq @ ( index @ pendack @ ( host @ Z ) ) @ ( index @ pendack @ ( host @ Pid0 ) ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ~ ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) )
              & ( setIn @ Pid0 @ alive )
              & ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Pid20 ) ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ~ ( ( setIn @ Z @ alive )
                & ( ( index @ ldr @ ( host @ Z ) )
                  = ( host @ Z ) )
                & ( ( index @ status @ ( host @ Z ) )
                  = norm ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ! [V0: $i] :
                  ( ( ~ ( leq @ ( host @ Pid0 ) @ V0 )
                    & ( leq @ ( s @ zero ) @ V0 ) )
                 => ( ( setIn @ V0 @ ( index @ down @ ( host @ Pid0 ) ) )
                    | ( V0
                      = ( host @ Pid20 ) ) ) )
              & ~ ( leq @ ( host @ Pid0 ) @ ( host @ Z ) )
              & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_1 ) )
           => ~ ( ( setIn @ Z @ alive )
                & ( ( index @ ldr @ ( host @ Z ) )
                  = ( host @ Z ) )
                & ( ( index @ status @ ( host @ Z ) )
                  = norm ) ) )
        & ( ( queue @ ( host @ sK3_SY149 ) )
          = ( cons @ ( m_Down @ sK4_SY233 ) @ sK1_V ) ) )
     => ( ( setIn @ sK3_SY149 @ alive )
       => ( ~ ( leq @ ( host @ sK3_SY149 ) @ ( host @ sK4_SY233 ) )
         => ( ~ ( ( ( ( index @ ldr @ ( host @ sK3_SY149 ) )
                    = ( host @ sK4_SY233 ) )
                  & ( ( index @ status @ ( host @ sK3_SY149 ) )
                    = norm ) )
                | ( ( ( index @ status @ ( host @ sK3_SY149 ) )
                    = wait )
                  & ( ( host @ sK4_SY233 )
                    = ( host @ ( index @ elid @ ( host @ sK3_SY149 ) ) ) ) ) )
           => ( ( ! [SY310: $i] :
                    ( ( ~ ( leq @ ( host @ sK3_SY149 ) @ SY310 )
                      & ( leq @ ( s @ zero ) @ SY310 ) )
                   => ( ( setIn @ SY310 @ ( index @ down @ ( host @ sK3_SY149 ) ) )
                      | ( SY310
                        = ( host @ sK4_SY233 ) ) ) )
                & ( ( index @ status @ ( host @ sK3_SY149 ) )
                  = elec_1 ) )
             => ( ~ ( leq @ nbr_proc @ ( host @ sK3_SY149 ) )
               => ! [SY271: $i] :
                    ( ( ( host @ sK3_SY149 )
                     != ( host @ SY271 ) )
                   => ! [SY272: $i] :
                        ( ( ( s @ ( host @ sK3_SY149 ) )
                          = ( host @ SY272 ) )
                       => ( ( ( host @ sK3_SY149 )
                           != ( host @ SY272 ) )
                         => ! [SY273: $i] :
                              ( ( ( host @ sK3_SY149 )
                                = ( host @ SY273 ) )
                             => ( ( ~ ( leq @ ( s @ ( host @ sK3_SY149 ) ) @ ( host @ SY271 ) )
                                  & ( setIn @ SY273 @ alive )
                                  & ( elem @ ( m_Halt @ SY273 ) @ ( snoc @ ( queue @ ( host @ SY272 ) ) @ ( m_Halt @ sK3_SY149 ) ) ) )
                               => ~ ( ( setIn @ SY271 @ alive )
                                    & ( ( index @ ldr @ ( host @ SY271 ) )
                                      = ( host @ SY271 ) )
                                    & ( ( index @ status @ ( host @ SY271 ) )
                                      = norm ) ) ) ) ) ) ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[129]) ).

thf(131,plain,
    ( ( ! [Z: $i] : ( leq @ ( index @ pendack @ ( host @ Z ) ) @ nbr_proc ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[130]) ).

thf(132,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
         => ~ ( setIn @ Pid0 @ alive ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[130]) ).

thf(133,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( elem @ ( m_Ldr @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
         => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[130]) ).

thf(134,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
         => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[130]) ).

thf(135,plain,
    ( ( ! [Z: $i,Pid20: $i,Pid0: $i] :
          ( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
         => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[130]) ).

thf(136,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( ~ ( setIn @ Z @ alive )
            & ( leq @ Pid0 @ Z )
            & ( ( host @ Pid0 )
              = ( host @ Z ) ) )
         => ~ ( setIn @ Pid0 @ alive ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[130]) ).

thf(137,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( ( Pid0 != Z )
            & ( ( host @ Pid0 )
              = ( host @ Z ) ) )
         => ( ~ ( setIn @ Z @ alive )
            | ~ ( setIn @ Pid0 @ alive ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[130]) ).

thf(138,plain,
    ( ( ! [Z: $i] :
          ( ( ( ( ( index @ status @ ( host @ Z ) )
                = elec_1 )
              | ( ( index @ status @ ( host @ Z ) )
                = elec_2 ) )
            & ( setIn @ Z @ alive ) )
         => ( ( index @ elid @ ( host @ Z ) )
            = Z ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[130]) ).

thf(139,plain,
    ( ( ! [Z: $i,Pid20: $i,Pid0: $i] :
          ( ( ( setIn @ Pid0 @ alive )
            & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
            & ( ( host @ Pid20 )
              = ( host @ Z ) ) )
         => ~ ( ( setIn @ Z @ alive )
              & ( ( index @ ldr @ ( host @ Z ) )
                = ( host @ Z ) )
              & ( ( index @ status @ ( host @ Z ) )
                = norm ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[130]) ).

thf(140,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) )
            & ( setIn @ Z @ alive )
            & ( setIn @ Pid0 @ alive )
            & ( ( index @ status @ ( host @ Z ) )
              = elec_2 )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = elec_2 ) )
         => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[130]) ).

thf(141,plain,
    ( ( ! [Z: $i,Pid20: $i,Pid0: $i] :
          ( ( ( setIn @ Pid0 @ alive )
            & ( elem @ ( m_Ack @ Pid0 @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
            & ( ( host @ Pid20 )
              = ( host @ Z ) ) )
         => ~ ( ( setIn @ Z @ alive )
              & ( ( index @ ldr @ ( host @ Z ) )
                = ( host @ Z ) )
              & ( ( index @ status @ ( host @ Z ) )
                = norm ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[130]) ).

thf(142,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( ~ ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) )
            & ( setIn @ Pid0 @ alive )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = elec_2 ) )
         => ~ ( ( setIn @ Z @ alive )
              & ( ( index @ ldr @ ( host @ Z ) )
                = ( host @ Z ) )
              & ( ( index @ status @ ( host @ Z ) )
                = norm ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[130]) ).

thf(143,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( ( setIn @ Z @ alive )
            & ( setIn @ Pid0 @ alive )
            & ( ( index @ ldr @ ( host @ Z ) )
              = ( host @ Z ) )
            & ( ( index @ status @ ( host @ Z ) )
              = norm )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = norm )
            & ( ( index @ ldr @ ( host @ Pid0 ) )
              = ( host @ Pid0 ) ) )
         => ( Pid0 = Z ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[130]) ).

thf(144,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) )
            & ( setIn @ Z @ alive )
            & ( setIn @ Pid0 @ alive )
            & ( ( index @ status @ ( host @ Z ) )
              = elec_2 )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = elec_2 ) )
         => ~ ( leq @ ( index @ pendack @ ( host @ Z ) ) @ ( index @ pendack @ ( host @ Pid0 ) ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[130]) ).

thf(145,plain,
    ( ( ! [Z: $i,Pid20: $i,Pid0: $i] :
          ( ( ~ ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) )
            & ( setIn @ Pid0 @ alive )
            & ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Pid20 ) ) )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = elec_2 ) )
         => ~ ( ( setIn @ Z @ alive )
              & ( ( index @ ldr @ ( host @ Z ) )
                = ( host @ Z ) )
              & ( ( index @ status @ ( host @ Z ) )
                = norm ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[130]) ).

thf(146,plain,
    ( ( ! [Z: $i,Pid20: $i,Pid0: $i] :
          ( ( ! [V0: $i] :
                ( ( ~ ( leq @ ( host @ Pid0 ) @ V0 )
                  & ( leq @ ( s @ zero ) @ V0 ) )
               => ( ( setIn @ V0 @ ( index @ down @ ( host @ Pid0 ) ) )
                  | ( V0
                    = ( host @ Pid20 ) ) ) )
            & ~ ( leq @ ( host @ Pid0 ) @ ( host @ Z ) )
            & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = elec_1 ) )
         => ~ ( ( setIn @ Z @ alive )
              & ( ( index @ ldr @ ( host @ Z ) )
                = ( host @ Z ) )
              & ( ( index @ status @ ( host @ Z ) )
                = norm ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[130]) ).

thf(147,plain,
    ( ( ( queue @ ( host @ sK3_SY149 ) )
      = ( cons @ ( m_Down @ sK4_SY233 ) @ sK1_V ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[130]) ).

thf(148,plain,
    ( ( setIn @ sK3_SY149 @ alive )
    = $true ),
    inference(standard_cnf,[status(thm)],[130]) ).

thf(149,plain,
    ( ( ~ ( leq @ ( host @ sK3_SY149 ) @ ( host @ sK4_SY233 ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[130]) ).

thf(150,plain,
    ( ( ~ ( ( ( ( index @ ldr @ ( host @ sK3_SY149 ) )
              = ( host @ sK4_SY233 ) )
            & ( ( index @ status @ ( host @ sK3_SY149 ) )
              = norm ) )
          | ( ( ( index @ status @ ( host @ sK3_SY149 ) )
              = wait )
            & ( ( host @ sK4_SY233 )
              = ( host @ ( index @ elid @ ( host @ sK3_SY149 ) ) ) ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[130]) ).

thf(151,plain,
    ( ( ! [SY310: $i] :
          ( ( ~ ( leq @ ( host @ sK3_SY149 ) @ SY310 )
            & ( leq @ ( s @ zero ) @ SY310 ) )
         => ( ( setIn @ SY310 @ ( index @ down @ ( host @ sK3_SY149 ) ) )
            | ( SY310
              = ( host @ sK4_SY233 ) ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[130]) ).

thf(152,plain,
    ( ( ( index @ status @ ( host @ sK3_SY149 ) )
      = elec_1 )
    = $true ),
    inference(standard_cnf,[status(thm)],[130]) ).

thf(153,plain,
    ( ( ~ ( leq @ nbr_proc @ ( host @ sK3_SY149 ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[130]) ).

thf(154,plain,
    ( ( ! [SY271: $i] :
          ( ( ( host @ sK3_SY149 )
           != ( host @ SY271 ) )
         => ! [SY272: $i] :
              ( ( ( s @ ( host @ sK3_SY149 ) )
                = ( host @ SY272 ) )
             => ( ( ( host @ sK3_SY149 )
                 != ( host @ SY272 ) )
               => ! [SY273: $i] :
                    ( ( ( host @ sK3_SY149 )
                      = ( host @ SY273 ) )
                   => ( ( ~ ( leq @ ( s @ ( host @ sK3_SY149 ) ) @ ( host @ SY271 ) )
                        & ( setIn @ SY273 @ alive )
                        & ( elem @ ( m_Halt @ SY273 ) @ ( snoc @ ( queue @ ( host @ SY272 ) ) @ ( m_Halt @ sK3_SY149 ) ) ) )
                     => ~ ( ( setIn @ SY271 @ alive )
                          & ( ( index @ ldr @ ( host @ SY271 ) )
                            = ( host @ SY271 ) )
                          & ( ( index @ status @ ( host @ SY271 ) )
                            = norm ) ) ) ) ) ) ) )
    = $false ),
    inference(standard_cnf,[status(thm)],[130]) ).

thf(155,plain,
    ( ( ~ ! [SY271: $i] :
            ( ( ( host @ sK3_SY149 )
             != ( host @ SY271 ) )
           => ! [SY272: $i] :
                ( ( ( s @ ( host @ sK3_SY149 ) )
                  = ( host @ SY272 ) )
               => ( ( ( host @ sK3_SY149 )
                   != ( host @ SY272 ) )
                 => ! [SY273: $i] :
                      ( ( ( host @ sK3_SY149 )
                        = ( host @ SY273 ) )
                     => ( ( ~ ( leq @ ( s @ ( host @ sK3_SY149 ) ) @ ( host @ SY271 ) )
                          & ( setIn @ SY273 @ alive )
                          & ( elem @ ( m_Halt @ SY273 ) @ ( snoc @ ( queue @ ( host @ SY272 ) ) @ ( m_Halt @ sK3_SY149 ) ) ) )
                       => ~ ( ( setIn @ SY271 @ alive )
                            & ( ( index @ ldr @ ( host @ SY271 ) )
                              = ( host @ SY271 ) )
                            & ( ( index @ status @ ( host @ SY271 ) )
                              = norm ) ) ) ) ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[154]) ).

thf(156,plain,
    ( ( ! [Pid: $i,Pid2: $i] :
          ( ( elem @ ( m_Ack @ Pid @ Pid2 ) @ ( queue @ ( host @ Pid ) ) )
         => ( ( setIn @ Pid @ pids )
            & ( setIn @ Pid2 @ pids ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[126]) ).

thf(157,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( ( s @ ( host @ P ) )
            = ( host @ Q ) )
         => ( ( host @ P )
           != ( host @ Q ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[125]) ).

thf(158,plain,
    ( ( ! [P: $i] : ( leq @ ( s @ zero ) @ ( host @ P ) ) )
    = $true ),
    inference(copy,[status(thm)],[124]) ).

thf(159,plain,
    ( ( leq @ ( s @ zero ) @ nbr_proc )
    = $true ),
    inference(copy,[status(thm)],[123]) ).

thf(160,plain,
    ( ( ! [P: $i] : ( leq @ ( host @ P ) @ nbr_proc ) )
    = $true ),
    inference(copy,[status(thm)],[122]) ).

thf(161,plain,
    ( ( elec_1 != elec_2 )
    = $true ),
    inference(copy,[status(thm)],[121]) ).

thf(162,plain,
    ( ( elec_1 != wait )
    = $true ),
    inference(copy,[status(thm)],[120]) ).

thf(163,plain,
    ( ( elec_1 != norm )
    = $true ),
    inference(copy,[status(thm)],[119]) ).

thf(164,plain,
    ( ( elec_2 != wait )
    = $true ),
    inference(copy,[status(thm)],[118]) ).

thf(165,plain,
    ( ( elec_2 != norm )
    = $true ),
    inference(copy,[status(thm)],[117]) ).

thf(166,plain,
    ( ( norm != wait )
    = $true ),
    inference(copy,[status(thm)],[116]) ).

thf(167,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_Halt @ Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[115]) ).

thf(168,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_Down @ Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[114]) ).

thf(169,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_NotNorm @ Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[113]) ).

thf(170,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_Ldr @ Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[112]) ).

thf(171,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_NormQ @ Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[111]) ).

thf(172,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_NotNorm @ X )
         != ( m_Halt @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[110]) ).

thf(173,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_Halt @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[109]) ).

thf(174,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_Ldr @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[108]) ).

thf(175,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_NotNorm @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[107]) ).

thf(176,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_NormQ @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[106]) ).

thf(177,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_NormQ @ X )
         != ( m_Halt @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[105]) ).

thf(178,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Ldr @ X )
         != ( m_Halt @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[104]) ).

thf(179,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Ldr @ X )
         != ( m_NormQ @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[103]) ).

thf(180,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Ldr @ X )
         != ( m_NotNorm @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[102]) ).

thf(181,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
        <=> ( ( m_Halt @ X )
           != ( m_Halt @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[101]) ).

thf(182,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
        <=> ( ( m_Ldr @ X )
           != ( m_Ldr @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[100]) ).

thf(183,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
        <=> ( ( m_Down @ X )
           != ( m_Down @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[99]) ).

thf(184,plain,
    ( ( ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
          ( ( X1 != X2 )
         => ( ( m_Ack @ X1 @ Y1 )
           != ( m_Ack @ X2 @ Y2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[98]) ).

thf(185,plain,
    ( ( ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
          ( ( Y1 != Y2 )
         => ( ( m_Ack @ X1 @ Y1 )
           != ( m_Ack @ X2 @ Y2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[97]) ).

thf(186,plain,
    ( ( ! [Pid: $i,Pid2: $i] :
          ( ( ( host @ Pid )
           != ( host @ Pid2 ) )
         => ( Pid != Pid2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[96]) ).

thf(187,plain,
    ( ( ~ ( setIn @ nil @ alive ) )
    = $true ),
    inference(copy,[status(thm)],[95]) ).

thf(188,plain,
    ( ( ! [X: $i,Q: $i] :
          ( ( head @ ( cons @ X @ Q ) )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[94]) ).

thf(189,plain,
    ( ( ! [X: $i,Q: $i] :
          ( ( tail @ ( cons @ X @ Q ) )
          = Q ) )
    = $true ),
    inference(copy,[status(thm)],[93]) ).

thf(190,plain,
    ( ( ! [Y: $i,Q: $i] :
          ( ( last @ ( snoc @ Q @ Y ) )
          = Y ) )
    = $true ),
    inference(copy,[status(thm)],[92]) ).

thf(191,plain,
    ( ( ! [Y: $i,Q: $i] :
          ( ( init @ ( snoc @ Q @ Y ) )
          = Q ) )
    = $true ),
    inference(copy,[status(thm)],[91]) ).

thf(192,plain,
    ( ( ! [X: $i,Q: $i] :
          ( q_nil
         != ( cons @ X @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[90]) ).

thf(193,plain,
    ( ( ! [Y: $i,Q: $i] :
          ( q_nil
         != ( snoc @ Q @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[89]) ).

thf(194,plain,
    ( ( ! [X: $i] :
          ( ( cons @ X @ q_nil )
          = ( snoc @ q_nil @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[88]) ).

thf(195,plain,
    ( ( ! [X: $i,Y: $i,Q: $i] :
          ( ( snoc @ ( cons @ X @ Q ) @ Y )
          = ( cons @ X @ ( snoc @ Q @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[87]) ).

thf(196,plain,
    ( ( ! [X: $i] :
          ~ ( elem @ X @ q_nil ) )
    = $true ),
    inference(copy,[status(thm)],[86]) ).

thf(197,plain,
    ( ( ! [X: $i,Y: $i,Q: $i] :
          ( ( elem @ X @ ( cons @ Y @ Q ) )
        <=> ( ( X = Y )
            | ( elem @ X @ Q ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[85]) ).

thf(198,plain,
    ( ( ! [X: $i,Y: $i,Q: $i] :
          ( ( elem @ X @ ( snoc @ Q @ Y ) )
        <=> ( ( X = Y )
            | ( elem @ X @ Q ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[84]) ).

thf(199,plain,
    ( ( ! [X: $i] :
          ( ( pidElem @ X )
        <=> ? [Y: $i] :
              ( ( X
                = ( m_Halt @ Y ) )
              | ( X
                = ( m_Down @ Y ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[83]) ).

thf(200,plain,
    ( ( ! [X: $i] :
          ( ( pidMsg @ ( m_Halt @ X ) )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[82]) ).

thf(201,plain,
    ( ( ! [X: $i] :
          ( ( pidMsg @ ( m_Down @ X ) )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[81]) ).

thf(202,plain,
    ( ( ! [Q: $i,X: $i,Y: $i] :
          ( ( ordered @ Q )
         => ( ordered @ ( snoc @ Q @ ( m_Ack @ X @ Y ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[80]) ).

thf(203,plain,
    ( ( ! [Q: $i,X: $i] :
          ( ( ordered @ Q )
         => ( ordered @ ( snoc @ Q @ ( m_Ldr @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[79]) ).

thf(204,plain,
    ( ( ! [Q: $i,X: $i,Y: $i] :
          ( ( ( ordered @ ( cons @ ( m_Halt @ X ) @ Q ) )
            & ( ( host @ X )
              = ( host @ Y ) )
            & ( elem @ ( m_Down @ Y ) @ Q ) )
         => ( leq @ X @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[78]) ).

thf(205,plain,
    ( ( ! [X: $i] :
          ~ ( leq @ ( s @ X ) @ X ) )
    = $true ),
    inference(copy,[status(thm)],[77]) ).

thf(206,plain,
    ( ( ! [X: $i] : ( leq @ X @ X ) )
    = $true ),
    inference(copy,[status(thm)],[76]) ).

thf(207,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( leq @ X @ Y )
          | ( leq @ Y @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[75]) ).

thf(208,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( ( leq @ X @ Y )
            & ( leq @ Y @ X ) )
        <=> ( X = Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[74]) ).

thf(209,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( ( leq @ X @ Y )
            & ( leq @ Y @ Z ) )
         => ( leq @ X @ Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[73]) ).

thf(210,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( leq @ X @ Y )
        <=> ( leq @ ( s @ X ) @ ( s @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[72]) ).

thf(211,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( leq @ X @ ( s @ Y ) )
        <=> ( ( X
              = ( s @ Y ) )
            | ( leq @ X @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[71]) ).

thf(212,plain,
    ( ( ! [X: $i] :
          ~ ( setIn @ X @ setEmpty ) )
    = $true ),
    inference(copy,[status(thm)],[70]) ).

thf(213,plain,
    ( ( ~ ( leq @ nbr_proc @ ( host @ sK3_SY149 ) ) )
    = $true ),
    inference(copy,[status(thm)],[153]) ).

thf(214,plain,
    ( ( ( index @ status @ ( host @ sK3_SY149 ) )
      = elec_1 )
    = $true ),
    inference(copy,[status(thm)],[152]) ).

thf(215,plain,
    ( ( ! [SY310: $i] :
          ( ( ~ ( leq @ ( host @ sK3_SY149 ) @ SY310 )
            & ( leq @ ( s @ zero ) @ SY310 ) )
         => ( ( setIn @ SY310 @ ( index @ down @ ( host @ sK3_SY149 ) ) )
            | ( SY310
              = ( host @ sK4_SY233 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[151]) ).

thf(216,plain,
    ( ( ~ ( ( ( ( index @ ldr @ ( host @ sK3_SY149 ) )
              = ( host @ sK4_SY233 ) )
            & ( ( index @ status @ ( host @ sK3_SY149 ) )
              = norm ) )
          | ( ( ( index @ status @ ( host @ sK3_SY149 ) )
              = wait )
            & ( ( host @ sK4_SY233 )
              = ( host @ ( index @ elid @ ( host @ sK3_SY149 ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[150]) ).

thf(217,plain,
    ( ( ~ ( leq @ ( host @ sK3_SY149 ) @ ( host @ sK4_SY233 ) ) )
    = $true ),
    inference(copy,[status(thm)],[149]) ).

thf(218,plain,
    ( ( setIn @ sK3_SY149 @ alive )
    = $true ),
    inference(copy,[status(thm)],[148]) ).

thf(219,plain,
    ( ( ( queue @ ( host @ sK3_SY149 ) )
      = ( cons @ ( m_Down @ sK4_SY233 ) @ sK1_V ) )
    = $true ),
    inference(copy,[status(thm)],[147]) ).

thf(220,plain,
    ( ( ! [Z: $i,Pid20: $i,Pid0: $i] :
          ( ( ! [V0: $i] :
                ( ( ~ ( leq @ ( host @ Pid0 ) @ V0 )
                  & ( leq @ ( s @ zero ) @ V0 ) )
               => ( ( setIn @ V0 @ ( index @ down @ ( host @ Pid0 ) ) )
                  | ( V0
                    = ( host @ Pid20 ) ) ) )
            & ~ ( leq @ ( host @ Pid0 ) @ ( host @ Z ) )
            & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = elec_1 ) )
         => ~ ( ( setIn @ Z @ alive )
              & ( ( index @ ldr @ ( host @ Z ) )
                = ( host @ Z ) )
              & ( ( index @ status @ ( host @ Z ) )
                = norm ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[146]) ).

thf(221,plain,
    ( ( ! [Z: $i,Pid20: $i,Pid0: $i] :
          ( ( ~ ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) )
            & ( setIn @ Pid0 @ alive )
            & ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Pid20 ) ) )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = elec_2 ) )
         => ~ ( ( setIn @ Z @ alive )
              & ( ( index @ ldr @ ( host @ Z ) )
                = ( host @ Z ) )
              & ( ( index @ status @ ( host @ Z ) )
                = norm ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[145]) ).

thf(222,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) )
            & ( setIn @ Z @ alive )
            & ( setIn @ Pid0 @ alive )
            & ( ( index @ status @ ( host @ Z ) )
              = elec_2 )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = elec_2 ) )
         => ~ ( leq @ ( index @ pendack @ ( host @ Z ) ) @ ( index @ pendack @ ( host @ Pid0 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[144]) ).

thf(223,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( ( setIn @ Z @ alive )
            & ( setIn @ Pid0 @ alive )
            & ( ( index @ ldr @ ( host @ Z ) )
              = ( host @ Z ) )
            & ( ( index @ status @ ( host @ Z ) )
              = norm )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = norm )
            & ( ( index @ ldr @ ( host @ Pid0 ) )
              = ( host @ Pid0 ) ) )
         => ( Pid0 = Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[143]) ).

thf(224,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( ~ ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) )
            & ( setIn @ Pid0 @ alive )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = elec_2 ) )
         => ~ ( ( setIn @ Z @ alive )
              & ( ( index @ ldr @ ( host @ Z ) )
                = ( host @ Z ) )
              & ( ( index @ status @ ( host @ Z ) )
                = norm ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[142]) ).

thf(225,plain,
    ( ( ! [Z: $i,Pid20: $i,Pid0: $i] :
          ( ( ( setIn @ Pid0 @ alive )
            & ( elem @ ( m_Ack @ Pid0 @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
            & ( ( host @ Pid20 )
              = ( host @ Z ) ) )
         => ~ ( ( setIn @ Z @ alive )
              & ( ( index @ ldr @ ( host @ Z ) )
                = ( host @ Z ) )
              & ( ( index @ status @ ( host @ Z ) )
                = norm ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[141]) ).

thf(226,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) )
            & ( setIn @ Z @ alive )
            & ( setIn @ Pid0 @ alive )
            & ( ( index @ status @ ( host @ Z ) )
              = elec_2 )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = elec_2 ) )
         => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[140]) ).

thf(227,plain,
    ( ( ! [Z: $i,Pid20: $i,Pid0: $i] :
          ( ( ( setIn @ Pid0 @ alive )
            & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
            & ( ( host @ Pid20 )
              = ( host @ Z ) ) )
         => ~ ( ( setIn @ Z @ alive )
              & ( ( index @ ldr @ ( host @ Z ) )
                = ( host @ Z ) )
              & ( ( index @ status @ ( host @ Z ) )
                = norm ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[139]) ).

thf(228,plain,
    ( ( ! [Z: $i] :
          ( ( ( ( ( index @ status @ ( host @ Z ) )
                = elec_1 )
              | ( ( index @ status @ ( host @ Z ) )
                = elec_2 ) )
            & ( setIn @ Z @ alive ) )
         => ( ( index @ elid @ ( host @ Z ) )
            = Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[138]) ).

thf(229,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( ( Pid0 != Z )
            & ( ( host @ Pid0 )
              = ( host @ Z ) ) )
         => ( ~ ( setIn @ Z @ alive )
            | ~ ( setIn @ Pid0 @ alive ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[137]) ).

thf(230,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( ~ ( setIn @ Z @ alive )
            & ( leq @ Pid0 @ Z )
            & ( ( host @ Pid0 )
              = ( host @ Z ) ) )
         => ~ ( setIn @ Pid0 @ alive ) ) )
    = $true ),
    inference(copy,[status(thm)],[136]) ).

thf(231,plain,
    ( ( ! [Z: $i,Pid20: $i,Pid0: $i] :
          ( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
         => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[135]) ).

thf(232,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
         => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[134]) ).

thf(233,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( elem @ ( m_Ldr @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
         => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[133]) ).

thf(234,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
         => ~ ( setIn @ Pid0 @ alive ) ) )
    = $true ),
    inference(copy,[status(thm)],[132]) ).

thf(235,plain,
    ( ( ! [Z: $i] : ( leq @ ( index @ pendack @ ( host @ Z ) ) @ nbr_proc ) )
    = $true ),
    inference(copy,[status(thm)],[131]) ).

thf(236,plain,
    ( ( ~ ! [SY271: $i] :
            ( ( ( host @ sK3_SY149 )
             != ( host @ SY271 ) )
           => ! [SY272: $i] :
                ( ( ( s @ ( host @ sK3_SY149 ) )
                  = ( host @ SY272 ) )
               => ( ( ( host @ sK3_SY149 )
                   != ( host @ SY272 ) )
                 => ! [SY273: $i] :
                      ( ( ( host @ sK3_SY149 )
                        = ( host @ SY273 ) )
                     => ( ( ~ ( leq @ ( s @ ( host @ sK3_SY149 ) ) @ ( host @ SY271 ) )
                          & ( setIn @ SY273 @ alive )
                          & ( elem @ ( m_Halt @ SY273 ) @ ( snoc @ ( queue @ ( host @ SY272 ) ) @ ( m_Halt @ sK3_SY149 ) ) ) )
                       => ~ ( ( setIn @ SY271 @ alive )
                            & ( ( index @ ldr @ ( host @ SY271 ) )
                              = ( host @ SY271 ) )
                            & ( ( index @ status @ ( host @ SY271 ) )
                              = norm ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[155]) ).

thf(237,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( m_NormQ @ SX0 )
         != ( m_Halt @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[177]) ).

thf(238,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ~ ( ( SX1 != SX0 ) )
                | ( ( host @ SX1 )
                 != ( host @ SX0 ) ) )
          | ~ ( setIn @ SX0 @ alive )
          | ~ ( setIn @ SX1 @ alive ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[229]) ).

thf(239,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( elem @ ( m_Halt @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
          | ~ ( leq @ ( host @ SX0 ) @ ( host @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[232]) ).

thf(240,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ~ ( ~ ( ~ ( elem @ SX0 @ ( snoc @ SX2 @ SX1 ) )
                | ( SX0 = SX1 )
                | ( elem @ SX0 @ SX2 ) )
            | ~ ( ~ ( ( SX0 = SX1 )
                    | ( elem @ SX0 @ SX2 ) )
                | ( elem @ SX0 @ ( snoc @ SX2 @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[198]) ).

thf(241,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( setIn @ SX0 @ alive )
                      | ~ ( leq @ SX1 @ SX0 ) )
                | ( ( host @ SX1 )
                 != ( host @ SX0 ) ) )
          | ~ ( setIn @ SX1 @ alive ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[230]) ).

thf(242,plain,
    ( ( elec_1 != norm )
    = $true ),
    inference(unfold_def,[status(thm)],[163]) ).

thf(243,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( m_Down @ SX0 )
         != ( m_Halt @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[173]) ).

thf(244,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( elem @ ( m_Down @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
          | ~ ( setIn @ SX1 @ alive ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[234]) ).

thf(245,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( m_Ldr @ SX0 )
         != ( m_Halt @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[178]) ).

thf(246,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ( m_Ack @ SX0 @ SX1 )
         != ( m_Ldr @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[170]) ).

thf(247,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SX0 @ alive )
                                        | ~ ( setIn @ SX1 @ alive ) )
                                  | ( ( index @ ldr @ ( host @ SX0 ) )
                                   != ( host @ SX0 ) ) )
                            | ( ( index @ status @ ( host @ SX0 ) )
                             != norm ) )
                      | ( ( index @ status @ ( host @ SX1 ) )
                       != norm ) )
                | ( ( index @ ldr @ ( host @ SX1 ) )
                 != ( host @ SX1 ) ) )
          | ( SX1 = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[223]) ).

thf(248,plain,
    ( ( elec_2 != norm )
    = $true ),
    inference(unfold_def,[status(thm)],[165]) ).

thf(249,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( q_nil
         != ( snoc @ SX1 @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[193]) ).

thf(250,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( leq @ SX0 @ SX1 )
                | ( leq @ ( s @ SX0 ) @ ( s @ SX1 ) ) )
            | ~ ( ~ ( leq @ ( s @ SX0 ) @ ( s @ SX1 ) )
                | ( leq @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[210]) ).

thf(251,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX3: $i] :
                                  ( ~ ~ ( ~ ~ ( leq @ ( host @ SX2 ) @ SX3 )
                                        | ~ ( leq @ ( s @ zero ) @ SX3 ) )
                                  | ( setIn @ SX3 @ ( index @ down @ ( host @ SX2 ) ) )
                                  | ( SX3
                                    = ( host @ SX1 ) ) )
                            | ~ ~ ( leq @ ( host @ SX2 ) @ ( host @ SX0 ) ) )
                      | ~ ( elem @ ( m_Down @ SX1 ) @ ( queue @ ( host @ SX2 ) ) ) )
                | ( ( index @ status @ ( host @ SX2 ) )
                 != elec_1 ) )
          | ~ ~ ( ~ ~ ( ~ ( setIn @ SX0 @ alive )
                      | ( ( index @ ldr @ ( host @ SX0 ) )
                       != ( host @ SX0 ) ) )
                | ( ( index @ status @ ( host @ SX0 ) )
                 != norm ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[220]) ).

thf(252,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( ordered @ SX0 )
          | ( ordered @ ( snoc @ SX0 @ ( m_Ack @ SX1 @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[202]) ).

thf(253,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( elem @ ( m_Ack @ SX0 @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
          | ~ ( ~ ( setIn @ SX0 @ pids )
              | ~ ( setIn @ SX1 @ pids ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[156]) ).

thf(254,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ~ ( ~ ( ~ ( elem @ SX0 @ ( cons @ SX1 @ SX2 ) )
                | ( SX0 = SX1 )
                | ( elem @ SX0 @ SX2 ) )
            | ~ ( ~ ( ( SX0 = SX1 )
                    | ( elem @ SX0 @ SX2 ) )
                | ( elem @ SX0 @ ( cons @ SX1 @ SX2 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[197]) ).

thf(255,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ( m_Ack @ SX0 @ SX1 )
         != ( m_Halt @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[167]) ).

thf(256,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ( ( host @ sK3_SY149 )
                 != ( host @ SX0 ) ) )
            | ! [SX1: $i] :
                ( ( ( s @ ( host @ sK3_SY149 ) )
                 != ( host @ SX1 ) )
                | ~ ( ( ( host @ sK3_SY149 )
                     != ( host @ SX1 ) ) )
                | ! [SX2: $i] :
                    ( ( ( host @ sK3_SY149 )
                     != ( host @ SX2 ) )
                    | ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY149 ) ) @ ( host @ SX0 ) )
                                | ~ ( setIn @ SX2 @ alive ) )
                          | ~ ( elem @ ( m_Halt @ SX2 ) @ ( snoc @ ( queue @ ( host @ SX1 ) ) @ ( m_Halt @ sK3_SY149 ) ) ) )
                    | ~ ~ ( ~ ~ ( ~ ( setIn @ SX0 @ alive )
                                | ( ( index @ ldr @ ( host @ SX0 ) )
                                 != ( host @ SX0 ) ) )
                          | ( ( index @ status @ ( host @ SX0 ) )
                           != norm ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[236]) ).

thf(257,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ordered @ SX0 )
          | ( ordered @ ( snoc @ SX0 @ ( m_Ldr @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[203]) ).

thf(258,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ( leq @ SX0 @ SX1 )
                | ~ ( leq @ SX1 @ SX2 ) )
          | ( leq @ SX0 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[209]) ).

thf(259,plain,
    ( ( elec_2 != wait )
    = $true ),
    inference(unfold_def,[status(thm)],[164]) ).

thf(260,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( ( SX2 != SX3 ) )
          | ( ( m_Ack @ SX0 @ SX2 )
           != ( m_Ack @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[185]) ).

thf(261,plain,
    ( ( norm != wait )
    = $true ),
    inference(unfold_def,[status(thm)],[166]) ).

thf(262,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( m_Ldr @ SX0 )
         != ( m_NormQ @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[179]) ).

thf(263,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( m_Down @ SX0 )
         != ( m_Ldr @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[174]) ).

thf(264,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SX1 ) ) @ ( host @ SX0 ) )
                      | ~ ( setIn @ SX1 @ alive ) )
                | ( ( index @ status @ ( host @ SX1 ) )
                 != elec_2 ) )
          | ~ ~ ( ~ ~ ( ~ ( setIn @ SX0 @ alive )
                      | ( ( index @ ldr @ ( host @ SX0 ) )
                       != ( host @ SX0 ) ) )
                | ( ( index @ status @ ( host @ SX0 ) )
                 != norm ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[224]) ).

thf(265,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( elem @ ( m_Ldr @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
          | ~ ( leq @ ( host @ SX0 ) @ ( host @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[233]) ).

thf(266,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( m_Down @ SX0 )
         != ( m_NotNorm @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[175]) ).

thf(267,plain,
    ( ( elec_1 != wait )
    = $true ),
    inference(unfold_def,[status(thm)],[162]) ).

thf(268,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
          ( ~ ( ( SX0 != SX1 ) )
          | ( ( m_Ack @ SX0 @ SX2 )
           != ( m_Ack @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[184]) ).

thf(269,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SX0 ) @ ( host @ SX1 ) )
                                  | ~ ( setIn @ SX0 @ alive ) )
                            | ~ ( setIn @ SX1 @ alive ) )
                      | ( ( index @ status @ ( host @ SX0 ) )
                       != elec_2 ) )
                | ( ( index @ status @ ( host @ SX1 ) )
                 != elec_2 ) )
          | ~ ( leq @ ( index @ pendack @ ( host @ SX0 ) ) @ ( index @ pendack @ ( host @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[222]) ).

thf(270,plain,
    ( ( ! [SX0: $i] :
          ( ~ ~ ( ~ ~ ( leq @ ( host @ sK3_SY149 ) @ SX0 )
                | ~ ( leq @ ( s @ zero ) @ SX0 ) )
          | ( setIn @ SX0 @ ( index @ down @ ( host @ sK3_SY149 ) ) )
          | ( SX0
            = ( host @ sK4_SY233 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[215]) ).

thf(271,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ( m_Ack @ SX0 @ SX1 )
         != ( m_NotNorm @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[169]) ).

thf(272,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ( m_Ack @ SX0 @ SX1 )
         != ( m_NormQ @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[171]) ).

thf(273,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( ( SX0 != SX1 ) )
                | ( ( m_Down @ SX0 )
                 != ( m_Down @ SX1 ) ) )
            | ~ ( ~ ( ( ( m_Down @ SX0 )
                     != ( m_Down @ SX1 ) ) )
                | ( SX0 != SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[183]) ).

thf(274,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( ( s @ ( host @ SX0 ) )
           != ( host @ SX1 ) )
          | ( ( host @ SX0 )
           != ( host @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[157]) ).

thf(275,plain,
    ( ( elec_1 != elec_2 )
    = $true ),
    inference(unfold_def,[status(thm)],[161]) ).

thf(276,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ~ ( ~ ( leq @ SX0 @ SX1 )
                      | ~ ( leq @ SX1 @ SX0 ) )
                | ( SX0 = SX1 ) )
            | ~ ( ( SX0 != SX1 )
                | ~ ( ~ ( leq @ SX0 @ SX1 )
                    | ~ ( leq @ SX1 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[208]) ).

thf(277,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ( ~ ( pidElem @ SX0 )
                | ~ ! [SX1: $i] :
                      ~ ( ( SX0
                          = ( m_Halt @ SX1 ) )
                        | ( SX0
                          = ( m_Down @ SX1 ) ) ) )
            | ~ ( ~ ~ ! [SX1: $i] :
                        ~ ( ( SX0
                            = ( m_Halt @ SX1 ) )
                          | ( SX0
                            = ( m_Down @ SX1 ) ) )
                | ( pidElem @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[199]) ).

thf(278,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SX0 ) @ ( host @ SX1 ) )
                                  | ~ ( setIn @ SX0 @ alive ) )
                            | ~ ( setIn @ SX1 @ alive ) )
                      | ( ( index @ status @ ( host @ SX0 ) )
                       != elec_2 ) )
                | ( ( index @ status @ ( host @ SX1 ) )
                 != elec_2 ) )
          | ( leq @ ( index @ pendack @ ( host @ SX1 ) ) @ ( host @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[226]) ).

thf(279,plain,
    ( ( ! [SX0: $i] :
          ( ~ ~ ( ~ ( ( ( index @ status @ ( host @ SX0 ) )
                      = elec_1 )
                    | ( ( index @ status @ ( host @ SX0 ) )
                      = elec_2 ) )
                | ~ ( setIn @ SX0 @ alive ) )
          | ( ( index @ elid @ ( host @ SX0 ) )
            = SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[228]) ).

thf(280,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( m_NotNorm @ SX0 )
         != ( m_Halt @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[172]) ).

thf(281,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ~ ( ~ ( setIn @ SX2 @ alive )
                      | ~ ( elem @ ( m_Down @ SX1 ) @ ( queue @ ( host @ SX2 ) ) ) )
                | ( ( host @ SX1 )
                 != ( host @ SX0 ) ) )
          | ~ ~ ( ~ ~ ( ~ ( setIn @ SX0 @ alive )
                      | ( ( index @ ldr @ ( host @ SX0 ) )
                       != ( host @ SX0 ) ) )
                | ( ( index @ status @ ( host @ SX0 ) )
                 != norm ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[227]) ).

thf(282,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( leq @ SX0 @ ( s @ SX1 ) )
                | ( SX0
                  = ( s @ SX1 ) )
                | ( leq @ SX0 @ SX1 ) )
            | ~ ( ~ ( ( SX0
                      = ( s @ SX1 ) )
                    | ( leq @ SX0 @ SX1 ) )
                | ( leq @ SX0 @ ( s @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[211]) ).

thf(283,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( q_nil
         != ( cons @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[192]) ).

thf(284,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ( ( host @ SX0 )
               != ( host @ SX1 ) ) )
          | ( SX0 != SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[186]) ).

thf(285,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( m_Down @ SX0 )
         != ( m_NormQ @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[176]) ).

thf(286,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ~ ( ~ ( setIn @ SX2 @ alive )
                      | ~ ( elem @ ( m_Ack @ SX2 @ SX1 ) @ ( queue @ ( host @ SX2 ) ) ) )
                | ( ( host @ SX1 )
                 != ( host @ SX0 ) ) )
          | ~ ~ ( ~ ~ ( ~ ( setIn @ SX0 @ alive )
                      | ( ( index @ ldr @ ( host @ SX0 ) )
                       != ( host @ SX0 ) ) )
                | ( ( index @ status @ ( host @ SX0 ) )
                 != norm ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[225]) ).

thf(287,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( ( SX0 != SX1 ) )
                | ( ( m_Halt @ SX0 )
                 != ( m_Halt @ SX1 ) ) )
            | ~ ( ~ ( ( ( m_Halt @ SX0 )
                     != ( m_Halt @ SX1 ) ) )
                | ( SX0 != SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[181]) ).

thf(288,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ( elem @ ( m_Ack @ SX2 @ SX0 ) @ ( queue @ ( host @ SX1 ) ) )
          | ~ ( leq @ ( host @ SX0 ) @ ( host @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[231]) ).

thf(289,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SX1 ) @ SX0 ) )
                      | ( ( host @ SX1 )
                       != ( host @ SX2 ) ) )
                | ~ ( elem @ ( m_Down @ SX2 ) @ SX0 ) )
          | ( leq @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[204]) ).

thf(290,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ( m_Ack @ SX0 @ SX1 )
         != ( m_Down @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[168]) ).

thf(291,plain,
    ( ( ~ ( ~ ( ( ( index @ ldr @ ( host @ sK3_SY149 ) )
               != ( host @ sK4_SY233 ) )
              | ( ( index @ status @ ( host @ sK3_SY149 ) )
               != norm ) )
          | ~ ( ( ( index @ status @ ( host @ sK3_SY149 ) )
               != wait )
              | ( ( host @ sK4_SY233 )
               != ( host @ ( index @ elid @ ( host @ sK3_SY149 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[216]) ).

thf(292,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( m_Ldr @ SX0 )
         != ( m_NotNorm @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[180]) ).

thf(293,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SX2 ) ) @ ( host @ SX0 ) )
                            | ~ ( setIn @ SX2 @ alive ) )
                      | ~ ( elem @ ( m_Halt @ SX2 ) @ ( queue @ ( host @ SX1 ) ) ) )
                | ( ( index @ status @ ( host @ SX2 ) )
                 != elec_2 ) )
          | ~ ~ ( ~ ~ ( ~ ( setIn @ SX0 @ alive )
                      | ( ( index @ ldr @ ( host @ SX0 ) )
                       != ( host @ SX0 ) ) )
                | ( ( index @ status @ ( host @ SX0 ) )
                 != norm ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[221]) ).

thf(294,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ~ ( ~ ( ~ ( ( SX0 != SX1 ) )
                | ( ( m_Ldr @ SX0 )
                 != ( m_Ldr @ SX1 ) ) )
            | ~ ( ~ ( ( ( m_Ldr @ SX0 )
                     != ( m_Ldr @ SX1 ) ) )
                | ( SX0 != SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[182]) ).

thf(295,plain,
    ! [SV1: $i] :
      ( ( leq @ ( s @ zero ) @ ( host @ SV1 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[158]) ).

thf(296,plain,
    ! [SV2: $i] :
      ( ( leq @ ( host @ SV2 ) @ nbr_proc )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[160]) ).

thf(297,plain,
    ( ( setIn @ nil @ alive )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[187]) ).

thf(298,plain,
    ! [SV3: $i] :
      ( ( ! [SY314: $i] :
            ( ( head @ ( cons @ SV3 @ SY314 ) )
            = SV3 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[188]) ).

thf(299,plain,
    ! [SV4: $i] :
      ( ( ! [SY315: $i] :
            ( ( tail @ ( cons @ SV4 @ SY315 ) )
            = SY315 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[189]) ).

thf(300,plain,
    ! [SV5: $i] :
      ( ( ! [SY316: $i] :
            ( ( last @ ( snoc @ SY316 @ SV5 ) )
            = SV5 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[190]) ).

thf(301,plain,
    ! [SV6: $i] :
      ( ( ! [SY317: $i] :
            ( ( init @ ( snoc @ SY317 @ SV6 ) )
            = SY317 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[191]) ).

thf(302,plain,
    ! [SV7: $i] :
      ( ( ( cons @ SV7 @ q_nil )
        = ( snoc @ q_nil @ SV7 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[194]) ).

thf(303,plain,
    ! [SV8: $i] :
      ( ( ! [SY318: $i,SY319: $i] :
            ( ( snoc @ ( cons @ SV8 @ SY319 ) @ SY318 )
            = ( cons @ SV8 @ ( snoc @ SY319 @ SY318 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[195]) ).

thf(304,plain,
    ! [SV9: $i] :
      ( ( ~ ( elem @ SV9 @ q_nil ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[196]) ).

thf(305,plain,
    ! [SV10: $i] :
      ( ( ( pidMsg @ ( m_Halt @ SV10 ) )
        = SV10 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[200]) ).

thf(306,plain,
    ! [SV11: $i] :
      ( ( ( pidMsg @ ( m_Down @ SV11 ) )
        = SV11 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[201]) ).

thf(307,plain,
    ! [SV12: $i] :
      ( ( ~ ( leq @ ( s @ SV12 ) @ SV12 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[205]) ).

thf(308,plain,
    ! [SV13: $i] :
      ( ( leq @ SV13 @ SV13 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[206]) ).

thf(309,plain,
    ! [SV14: $i] :
      ( ( ! [SY320: $i] :
            ( ( leq @ SV14 @ SY320 )
            | ( leq @ SY320 @ SV14 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[207]) ).

thf(310,plain,
    ! [SV15: $i] :
      ( ( ~ ( setIn @ SV15 @ setEmpty ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[212]) ).

thf(311,plain,
    ( ( leq @ nbr_proc @ ( host @ sK3_SY149 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[213]) ).

thf(312,plain,
    ( ( leq @ ( host @ sK3_SY149 ) @ ( host @ sK4_SY233 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[217]) ).

thf(313,plain,
    ! [SV16: $i] :
      ( ( leq @ ( index @ pendack @ ( host @ SV16 ) ) @ nbr_proc )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[235]) ).

thf(314,plain,
    ! [SV17: $i] :
      ( ( ! [SY321: $i] :
            ( ( m_NormQ @ SV17 )
           != ( m_Halt @ SY321 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[237]) ).

thf(315,plain,
    ! [SV18: $i] :
      ( ( ! [SY322: $i] :
            ( ~ ~ ( ~ ( ( SY322 != SV18 ) )
                  | ( ( host @ SY322 )
                   != ( host @ SV18 ) ) )
            | ~ ( setIn @ SV18 @ alive )
            | ~ ( setIn @ SY322 @ alive ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[238]) ).

thf(316,plain,
    ! [SV19: $i] :
      ( ( ! [SY323: $i] :
            ( ~ ( elem @ ( m_Halt @ SY323 ) @ ( queue @ ( host @ SV19 ) ) )
            | ~ ( leq @ ( host @ SV19 ) @ ( host @ SY323 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[239]) ).

thf(317,plain,
    ! [SV20: $i] :
      ( ( ! [SY324: $i,SY325: $i] :
            ~ ( ~ ( ~ ( elem @ SV20 @ ( snoc @ SY325 @ SY324 ) )
                  | ( SV20 = SY324 )
                  | ( elem @ SV20 @ SY325 ) )
              | ~ ( ~ ( ( SV20 = SY324 )
                      | ( elem @ SV20 @ SY325 ) )
                  | ( elem @ SV20 @ ( snoc @ SY325 @ SY324 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[240]) ).

thf(318,plain,
    ! [SV21: $i] :
      ( ( ! [SY326: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( setIn @ SV21 @ alive )
                        | ~ ( leq @ SY326 @ SV21 ) )
                  | ( ( host @ SY326 )
                   != ( host @ SV21 ) ) )
            | ~ ( setIn @ SY326 @ alive ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[241]) ).

thf(319,plain,
    ( ( elec_1 = norm )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[242]) ).

thf(320,plain,
    ! [SV22: $i] :
      ( ( ! [SY327: $i] :
            ( ( m_Down @ SV22 )
           != ( m_Halt @ SY327 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[243]) ).

thf(321,plain,
    ! [SV23: $i] :
      ( ( ! [SY328: $i] :
            ( ~ ( elem @ ( m_Down @ SY328 ) @ ( queue @ ( host @ SV23 ) ) )
            | ~ ( setIn @ SY328 @ alive ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[244]) ).

thf(322,plain,
    ! [SV24: $i] :
      ( ( ! [SY329: $i] :
            ( ( m_Ldr @ SV24 )
           != ( m_Halt @ SY329 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[245]) ).

thf(323,plain,
    ! [SV25: $i] :
      ( ( ! [SY330: $i,SY331: $i] :
            ( ( m_Ack @ SV25 @ SY330 )
           != ( m_Ldr @ SY331 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[246]) ).

thf(324,plain,
    ! [SV26: $i] :
      ( ( ! [SY332: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                                          | ~ ( setIn @ SY332 @ alive ) )
                                    | ( ( index @ ldr @ ( host @ SV26 ) )
                                     != ( host @ SV26 ) ) )
                              | ( ( index @ status @ ( host @ SV26 ) )
                               != norm ) )
                        | ( ( index @ status @ ( host @ SY332 ) )
                         != norm ) )
                  | ( ( index @ ldr @ ( host @ SY332 ) )
                   != ( host @ SY332 ) ) )
            | ( SY332 = SV26 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[247]) ).

thf(325,plain,
    ( ( elec_2 = norm )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[248]) ).

thf(326,plain,
    ! [SV27: $i] :
      ( ( ! [SY333: $i] :
            ( q_nil
           != ( snoc @ SY333 @ SV27 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[249]) ).

thf(327,plain,
    ! [SV28: $i] :
      ( ( ! [SY334: $i] :
            ~ ( ~ ( ~ ( leq @ SV28 @ SY334 )
                  | ( leq @ ( s @ SV28 ) @ ( s @ SY334 ) ) )
              | ~ ( ~ ( leq @ ( s @ SV28 ) @ ( s @ SY334 ) )
                  | ( leq @ SV28 @ SY334 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[250]) ).

thf(328,plain,
    ! [SV29: $i] :
      ( ( ! [SY335: $i,SY336: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX3: $i] :
                                    ( ~ ~ ( ~ ~ ( leq @ ( host @ SY336 ) @ SX3 )
                                          | ~ ( leq @ ( s @ zero ) @ SX3 ) )
                                    | ( setIn @ SX3 @ ( index @ down @ ( host @ SY336 ) ) )
                                    | ( SX3
                                      = ( host @ SY335 ) ) )
                              | ~ ~ ( leq @ ( host @ SY336 ) @ ( host @ SV29 ) ) )
                        | ~ ( elem @ ( m_Down @ SY335 ) @ ( queue @ ( host @ SY336 ) ) ) )
                  | ( ( index @ status @ ( host @ SY336 ) )
                   != elec_1 ) )
            | ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                        | ( ( index @ ldr @ ( host @ SV29 ) )
                         != ( host @ SV29 ) ) )
                  | ( ( index @ status @ ( host @ SV29 ) )
                   != norm ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[251]) ).

thf(329,plain,
    ! [SV30: $i] :
      ( ( ! [SY338: $i,SY339: $i] :
            ( ~ ( ordered @ SV30 )
            | ( ordered @ ( snoc @ SV30 @ ( m_Ack @ SY338 @ SY339 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[252]) ).

thf(330,plain,
    ! [SV31: $i] :
      ( ( ! [SY340: $i] :
            ( ~ ( elem @ ( m_Ack @ SV31 @ SY340 ) @ ( queue @ ( host @ SV31 ) ) )
            | ~ ( ~ ( setIn @ SV31 @ pids )
                | ~ ( setIn @ SY340 @ pids ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[253]) ).

thf(331,plain,
    ! [SV32: $i] :
      ( ( ! [SY341: $i,SY342: $i] :
            ~ ( ~ ( ~ ( elem @ SV32 @ ( cons @ SY341 @ SY342 ) )
                  | ( SV32 = SY341 )
                  | ( elem @ SV32 @ SY342 ) )
              | ~ ( ~ ( ( SV32 = SY341 )
                      | ( elem @ SV32 @ SY342 ) )
                  | ( elem @ SV32 @ ( cons @ SY341 @ SY342 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[254]) ).

thf(332,plain,
    ! [SV33: $i] :
      ( ( ! [SY343: $i,SY344: $i] :
            ( ( m_Ack @ SV33 @ SY343 )
           != ( m_Halt @ SY344 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[255]) ).

thf(333,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ( ( host @ sK3_SY149 )
               != ( host @ SX0 ) ) )
          | ! [SX1: $i] :
              ( ( ( s @ ( host @ sK3_SY149 ) )
               != ( host @ SX1 ) )
              | ~ ( ( ( host @ sK3_SY149 )
                   != ( host @ SX1 ) ) )
              | ! [SX2: $i] :
                  ( ( ( host @ sK3_SY149 )
                   != ( host @ SX2 ) )
                  | ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY149 ) ) @ ( host @ SX0 ) )
                              | ~ ( setIn @ SX2 @ alive ) )
                        | ~ ( elem @ ( m_Halt @ SX2 ) @ ( snoc @ ( queue @ ( host @ SX1 ) ) @ ( m_Halt @ sK3_SY149 ) ) ) )
                  | ~ ~ ( ~ ~ ( ~ ( setIn @ SX0 @ alive )
                              | ( ( index @ ldr @ ( host @ SX0 ) )
                               != ( host @ SX0 ) ) )
                        | ( ( index @ status @ ( host @ SX0 ) )
                         != norm ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[256]) ).

thf(334,plain,
    ! [SV34: $i] :
      ( ( ! [SY345: $i] :
            ( ~ ( ordered @ SV34 )
            | ( ordered @ ( snoc @ SV34 @ ( m_Ldr @ SY345 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[257]) ).

thf(335,plain,
    ! [SV35: $i] :
      ( ( ! [SY346: $i,SY347: $i] :
            ( ~ ~ ( ~ ( leq @ SV35 @ SY346 )
                  | ~ ( leq @ SY346 @ SY347 ) )
            | ( leq @ SV35 @ SY347 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[258]) ).

thf(336,plain,
    ( ( elec_2 = wait )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[259]) ).

thf(337,plain,
    ! [SV36: $i] :
      ( ( ! [SY348: $i,SY349: $i,SY350: $i] :
            ( ~ ( ( SY349 != SY350 ) )
            | ( ( m_Ack @ SV36 @ SY349 )
             != ( m_Ack @ SY348 @ SY350 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[260]) ).

thf(338,plain,
    ( ( norm = wait )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[261]) ).

thf(339,plain,
    ! [SV37: $i] :
      ( ( ! [SY351: $i] :
            ( ( m_Ldr @ SV37 )
           != ( m_NormQ @ SY351 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[262]) ).

thf(340,plain,
    ! [SV38: $i] :
      ( ( ! [SY352: $i] :
            ( ( m_Down @ SV38 )
           != ( m_Ldr @ SY352 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[263]) ).

thf(341,plain,
    ! [SV39: $i] :
      ( ( ! [SY353: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SY353 ) ) @ ( host @ SV39 ) )
                        | ~ ( setIn @ SY353 @ alive ) )
                  | ( ( index @ status @ ( host @ SY353 ) )
                   != elec_2 ) )
            | ~ ~ ( ~ ~ ( ~ ( setIn @ SV39 @ alive )
                        | ( ( index @ ldr @ ( host @ SV39 ) )
                         != ( host @ SV39 ) ) )
                  | ( ( index @ status @ ( host @ SV39 ) )
                   != norm ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[264]) ).

thf(342,plain,
    ! [SV40: $i] :
      ( ( ! [SY354: $i] :
            ( ~ ( elem @ ( m_Ldr @ SY354 ) @ ( queue @ ( host @ SV40 ) ) )
            | ~ ( leq @ ( host @ SV40 ) @ ( host @ SY354 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[265]) ).

thf(343,plain,
    ! [SV41: $i] :
      ( ( ! [SY355: $i] :
            ( ( m_Down @ SV41 )
           != ( m_NotNorm @ SY355 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[266]) ).

thf(344,plain,
    ( ( elec_1 = wait )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[267]) ).

thf(345,plain,
    ! [SV42: $i] :
      ( ( ! [SY356: $i,SY357: $i,SY358: $i] :
            ( ~ ( ( SV42 != SY356 ) )
            | ( ( m_Ack @ SV42 @ SY357 )
             != ( m_Ack @ SY356 @ SY358 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[268]) ).

thf(346,plain,
    ! [SV43: $i] :
      ( ( ! [SY359: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV43 ) @ ( host @ SY359 ) )
                                    | ~ ( setIn @ SV43 @ alive ) )
                              | ~ ( setIn @ SY359 @ alive ) )
                        | ( ( index @ status @ ( host @ SV43 ) )
                         != elec_2 ) )
                  | ( ( index @ status @ ( host @ SY359 ) )
                   != elec_2 ) )
            | ~ ( leq @ ( index @ pendack @ ( host @ SV43 ) ) @ ( index @ pendack @ ( host @ SY359 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[269]) ).

thf(347,plain,
    ! [SV44: $i] :
      ( ( ~ ~ ( ~ ~ ( leq @ ( host @ sK3_SY149 ) @ SV44 )
              | ~ ( leq @ ( s @ zero ) @ SV44 ) )
        | ( setIn @ SV44 @ ( index @ down @ ( host @ sK3_SY149 ) ) )
        | ( SV44
          = ( host @ sK4_SY233 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[270]) ).

thf(348,plain,
    ! [SV45: $i] :
      ( ( ! [SY360: $i,SY361: $i] :
            ( ( m_Ack @ SV45 @ SY360 )
           != ( m_NotNorm @ SY361 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[271]) ).

thf(349,plain,
    ! [SV46: $i] :
      ( ( ! [SY362: $i,SY363: $i] :
            ( ( m_Ack @ SV46 @ SY362 )
           != ( m_NormQ @ SY363 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[272]) ).

thf(350,plain,
    ! [SV47: $i] :
      ( ( ! [SY364: $i] :
            ~ ( ~ ( ~ ( ( SV47 != SY364 ) )
                  | ( ( m_Down @ SV47 )
                   != ( m_Down @ SY364 ) ) )
              | ~ ( ~ ( ( ( m_Down @ SV47 )
                       != ( m_Down @ SY364 ) ) )
                  | ( SV47 != SY364 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[273]) ).

thf(351,plain,
    ! [SV48: $i] :
      ( ( ! [SY365: $i] :
            ( ( ( s @ ( host @ SV48 ) )
             != ( host @ SY365 ) )
            | ( ( host @ SV48 )
             != ( host @ SY365 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[274]) ).

thf(352,plain,
    ( ( elec_1 = elec_2 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[275]) ).

thf(353,plain,
    ! [SV49: $i] :
      ( ( ! [SY366: $i] :
            ~ ( ~ ( ~ ~ ( ~ ( leq @ SV49 @ SY366 )
                        | ~ ( leq @ SY366 @ SV49 ) )
                  | ( SV49 = SY366 ) )
              | ~ ( ( SV49 != SY366 )
                  | ~ ( ~ ( leq @ SV49 @ SY366 )
                      | ~ ( leq @ SY366 @ SV49 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[276]) ).

thf(354,plain,
    ! [SV50: $i] :
      ( ( ~ ( ~ ( ~ ( pidElem @ SV50 )
                | ~ ! [SY367: $i] :
                      ~ ( ( SV50
                          = ( m_Halt @ SY367 ) )
                        | ( SV50
                          = ( m_Down @ SY367 ) ) ) )
            | ~ ( ~ ~ ! [SY368: $i] :
                        ~ ( ( SV50
                            = ( m_Halt @ SY368 ) )
                          | ( SV50
                            = ( m_Down @ SY368 ) ) )
                | ( pidElem @ SV50 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[277]) ).

thf(355,plain,
    ! [SV51: $i] :
      ( ( ! [SY369: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV51 ) @ ( host @ SY369 ) )
                                    | ~ ( setIn @ SV51 @ alive ) )
                              | ~ ( setIn @ SY369 @ alive ) )
                        | ( ( index @ status @ ( host @ SV51 ) )
                         != elec_2 ) )
                  | ( ( index @ status @ ( host @ SY369 ) )
                   != elec_2 ) )
            | ( leq @ ( index @ pendack @ ( host @ SY369 ) ) @ ( host @ SV51 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[278]) ).

thf(356,plain,
    ! [SV52: $i] :
      ( ( ~ ~ ( ~ ( ( ( index @ status @ ( host @ SV52 ) )
                    = elec_1 )
                  | ( ( index @ status @ ( host @ SV52 ) )
                    = elec_2 ) )
              | ~ ( setIn @ SV52 @ alive ) )
        | ( ( index @ elid @ ( host @ SV52 ) )
          = SV52 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[279]) ).

thf(357,plain,
    ! [SV53: $i] :
      ( ( ! [SY370: $i] :
            ( ( m_NotNorm @ SV53 )
           != ( m_Halt @ SY370 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[280]) ).

thf(358,plain,
    ! [SV54: $i] :
      ( ( ! [SY371: $i,SY372: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( setIn @ SY372 @ alive )
                        | ~ ( elem @ ( m_Down @ SY371 ) @ ( queue @ ( host @ SY372 ) ) ) )
                  | ( ( host @ SY371 )
                   != ( host @ SV54 ) ) )
            | ~ ~ ( ~ ~ ( ~ ( setIn @ SV54 @ alive )
                        | ( ( index @ ldr @ ( host @ SV54 ) )
                         != ( host @ SV54 ) ) )
                  | ( ( index @ status @ ( host @ SV54 ) )
                   != norm ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[281]) ).

thf(359,plain,
    ! [SV55: $i] :
      ( ( ! [SY373: $i] :
            ~ ( ~ ( ~ ( leq @ SV55 @ ( s @ SY373 ) )
                  | ( SV55
                    = ( s @ SY373 ) )
                  | ( leq @ SV55 @ SY373 ) )
              | ~ ( ~ ( ( SV55
                        = ( s @ SY373 ) )
                      | ( leq @ SV55 @ SY373 ) )
                  | ( leq @ SV55 @ ( s @ SY373 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[282]) ).

thf(360,plain,
    ! [SV56: $i] :
      ( ( ! [SY374: $i] :
            ( q_nil
           != ( cons @ SV56 @ SY374 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[283]) ).

thf(361,plain,
    ! [SV57: $i] :
      ( ( ! [SY375: $i] :
            ( ~ ( ( ( host @ SV57 )
                 != ( host @ SY375 ) ) )
            | ( SV57 != SY375 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[284]) ).

thf(362,plain,
    ! [SV58: $i] :
      ( ( ! [SY376: $i] :
            ( ( m_Down @ SV58 )
           != ( m_NormQ @ SY376 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[285]) ).

thf(363,plain,
    ! [SV59: $i] :
      ( ( ! [SY377: $i,SY378: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( setIn @ SY378 @ alive )
                        | ~ ( elem @ ( m_Ack @ SY378 @ SY377 ) @ ( queue @ ( host @ SY378 ) ) ) )
                  | ( ( host @ SY377 )
                   != ( host @ SV59 ) ) )
            | ~ ~ ( ~ ~ ( ~ ( setIn @ SV59 @ alive )
                        | ( ( index @ ldr @ ( host @ SV59 ) )
                         != ( host @ SV59 ) ) )
                  | ( ( index @ status @ ( host @ SV59 ) )
                   != norm ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[286]) ).

thf(364,plain,
    ! [SV60: $i] :
      ( ( ! [SY379: $i] :
            ~ ( ~ ( ~ ( ( SV60 != SY379 ) )
                  | ( ( m_Halt @ SV60 )
                   != ( m_Halt @ SY379 ) ) )
              | ~ ( ~ ( ( ( m_Halt @ SV60 )
                       != ( m_Halt @ SY379 ) ) )
                  | ( SV60 != SY379 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[287]) ).

thf(365,plain,
    ! [SV61: $i] :
      ( ( ! [SY380: $i,SY381: $i] :
            ( ~ ( elem @ ( m_Ack @ SY381 @ SV61 ) @ ( queue @ ( host @ SY380 ) ) )
            | ~ ( leq @ ( host @ SV61 ) @ ( host @ SY381 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[288]) ).

thf(366,plain,
    ! [SV62: $i] :
      ( ( ! [SY382: $i,SY383: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SY382 ) @ SV62 ) )
                        | ( ( host @ SY382 )
                         != ( host @ SY383 ) ) )
                  | ~ ( elem @ ( m_Down @ SY383 ) @ SV62 ) )
            | ( leq @ SY382 @ SY383 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[289]) ).

thf(367,plain,
    ! [SV63: $i] :
      ( ( ! [SY384: $i,SY385: $i] :
            ( ( m_Ack @ SV63 @ SY384 )
           != ( m_Down @ SY385 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[290]) ).

thf(368,plain,
    ( ( ~ ( ( ( index @ ldr @ ( host @ sK3_SY149 ) )
           != ( host @ sK4_SY233 ) )
          | ( ( index @ status @ ( host @ sK3_SY149 ) )
           != norm ) )
      | ~ ( ( ( index @ status @ ( host @ sK3_SY149 ) )
           != wait )
          | ( ( host @ sK4_SY233 )
           != ( host @ ( index @ elid @ ( host @ sK3_SY149 ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[291]) ).

thf(369,plain,
    ! [SV64: $i] :
      ( ( ! [SY386: $i] :
            ( ( m_Ldr @ SV64 )
           != ( m_NotNorm @ SY386 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[292]) ).

thf(370,plain,
    ! [SV65: $i] :
      ( ( ! [SY387: $i,SY388: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SY388 ) ) @ ( host @ SV65 ) )
                              | ~ ( setIn @ SY388 @ alive ) )
                        | ~ ( elem @ ( m_Halt @ SY388 ) @ ( queue @ ( host @ SY387 ) ) ) )
                  | ( ( index @ status @ ( host @ SY388 ) )
                   != elec_2 ) )
            | ~ ~ ( ~ ~ ( ~ ( setIn @ SV65 @ alive )
                        | ( ( index @ ldr @ ( host @ SV65 ) )
                         != ( host @ SV65 ) ) )
                  | ( ( index @ status @ ( host @ SV65 ) )
                   != norm ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[293]) ).

thf(371,plain,
    ! [SV66: $i] :
      ( ( ! [SY389: $i] :
            ~ ( ~ ( ~ ( ( SV66 != SY389 ) )
                  | ( ( m_Ldr @ SV66 )
                   != ( m_Ldr @ SY389 ) ) )
              | ~ ( ~ ( ( ( m_Ldr @ SV66 )
                       != ( m_Ldr @ SY389 ) ) )
                  | ( SV66 != SY389 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[294]) ).

thf(372,plain,
    ! [SV67: $i,SV3: $i] :
      ( ( ( head @ ( cons @ SV3 @ SV67 ) )
        = SV3 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[298]) ).

thf(373,plain,
    ! [SV68: $i,SV4: $i] :
      ( ( ( tail @ ( cons @ SV4 @ SV68 ) )
        = SV68 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[299]) ).

thf(374,plain,
    ! [SV5: $i,SV69: $i] :
      ( ( ( last @ ( snoc @ SV69 @ SV5 ) )
        = SV5 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[300]) ).

thf(375,plain,
    ! [SV6: $i,SV70: $i] :
      ( ( ( init @ ( snoc @ SV70 @ SV6 ) )
        = SV70 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[301]) ).

thf(376,plain,
    ! [SV71: $i,SV8: $i] :
      ( ( ! [SY390: $i] :
            ( ( snoc @ ( cons @ SV8 @ SY390 ) @ SV71 )
            = ( cons @ SV8 @ ( snoc @ SY390 @ SV71 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[303]) ).

thf(377,plain,
    ! [SV9: $i] :
      ( ( elem @ SV9 @ q_nil )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[304]) ).

thf(378,plain,
    ! [SV12: $i] :
      ( ( leq @ ( s @ SV12 ) @ SV12 )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[307]) ).

thf(379,plain,
    ! [SV72: $i,SV14: $i] :
      ( ( ( leq @ SV14 @ SV72 )
        | ( leq @ SV72 @ SV14 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[309]) ).

thf(380,plain,
    ! [SV15: $i] :
      ( ( setIn @ SV15 @ setEmpty )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[310]) ).

thf(381,plain,
    ! [SV73: $i,SV17: $i] :
      ( ( ( m_NormQ @ SV17 )
       != ( m_Halt @ SV73 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[314]) ).

thf(382,plain,
    ! [SV18: $i,SV74: $i] :
      ( ( ~ ~ ( ~ ( ( SV74 != SV18 ) )
              | ( ( host @ SV74 )
               != ( host @ SV18 ) ) )
        | ~ ( setIn @ SV18 @ alive )
        | ~ ( setIn @ SV74 @ alive ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[315]) ).

thf(383,plain,
    ! [SV19: $i,SV75: $i] :
      ( ( ~ ( elem @ ( m_Halt @ SV75 ) @ ( queue @ ( host @ SV19 ) ) )
        | ~ ( leq @ ( host @ SV19 ) @ ( host @ SV75 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[316]) ).

thf(384,plain,
    ! [SV76: $i,SV20: $i] :
      ( ( ! [SY391: $i] :
            ~ ( ~ ( ~ ( elem @ SV20 @ ( snoc @ SY391 @ SV76 ) )
                  | ( SV20 = SV76 )
                  | ( elem @ SV20 @ SY391 ) )
              | ~ ( ~ ( ( SV20 = SV76 )
                      | ( elem @ SV20 @ SY391 ) )
                  | ( elem @ SV20 @ ( snoc @ SY391 @ SV76 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[317]) ).

thf(385,plain,
    ! [SV77: $i,SV21: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( setIn @ SV21 @ alive )
                    | ~ ( leq @ SV77 @ SV21 ) )
              | ( ( host @ SV77 )
               != ( host @ SV21 ) ) )
        | ~ ( setIn @ SV77 @ alive ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[318]) ).

thf(386,plain,
    ! [SV78: $i,SV22: $i] :
      ( ( ( m_Down @ SV22 )
       != ( m_Halt @ SV78 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[320]) ).

thf(387,plain,
    ! [SV23: $i,SV79: $i] :
      ( ( ~ ( elem @ ( m_Down @ SV79 ) @ ( queue @ ( host @ SV23 ) ) )
        | ~ ( setIn @ SV79 @ alive ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[321]) ).

thf(388,plain,
    ! [SV80: $i,SV24: $i] :
      ( ( ( m_Ldr @ SV24 )
       != ( m_Halt @ SV80 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[322]) ).

thf(389,plain,
    ! [SV81: $i,SV25: $i] :
      ( ( ! [SY392: $i] :
            ( ( m_Ack @ SV25 @ SV81 )
           != ( m_Ldr @ SY392 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[323]) ).

thf(390,plain,
    ! [SV82: $i,SV26: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                                      | ~ ( setIn @ SV82 @ alive ) )
                                | ( ( index @ ldr @ ( host @ SV26 ) )
                                 != ( host @ SV26 ) ) )
                          | ( ( index @ status @ ( host @ SV26 ) )
                           != norm ) )
                    | ( ( index @ status @ ( host @ SV82 ) )
                     != norm ) )
              | ( ( index @ ldr @ ( host @ SV82 ) )
               != ( host @ SV82 ) ) )
        | ( SV82 = SV26 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[324]) ).

thf(391,plain,
    ! [SV27: $i,SV83: $i] :
      ( ( q_nil
       != ( snoc @ SV83 @ SV27 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[326]) ).

thf(392,plain,
    ! [SV84: $i,SV28: $i] :
      ( ( ~ ( ~ ( ~ ( leq @ SV28 @ SV84 )
                | ( leq @ ( s @ SV28 ) @ ( s @ SV84 ) ) )
            | ~ ( ~ ( leq @ ( s @ SV28 ) @ ( s @ SV84 ) )
                | ( leq @ SV28 @ SV84 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[327]) ).

thf(393,plain,
    ! [SV29: $i,SV85: $i] :
      ( ( ! [SY393: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY394: $i] :
                                    ( ~ ~ ( ~ ~ ( leq @ ( host @ SY393 ) @ SY394 )
                                          | ~ ( leq @ ( s @ zero ) @ SY394 ) )
                                    | ( setIn @ SY394 @ ( index @ down @ ( host @ SY393 ) ) )
                                    | ( SY394
                                      = ( host @ SV85 ) ) )
                              | ~ ~ ( leq @ ( host @ SY393 ) @ ( host @ SV29 ) ) )
                        | ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SY393 ) ) ) )
                  | ( ( index @ status @ ( host @ SY393 ) )
                   != elec_1 ) )
            | ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                        | ( ( index @ ldr @ ( host @ SV29 ) )
                         != ( host @ SV29 ) ) )
                  | ( ( index @ status @ ( host @ SV29 ) )
                   != norm ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[328]) ).

thf(394,plain,
    ! [SV86: $i,SV30: $i] :
      ( ( ! [SY395: $i] :
            ( ~ ( ordered @ SV30 )
            | ( ordered @ ( snoc @ SV30 @ ( m_Ack @ SV86 @ SY395 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[329]) ).

thf(395,plain,
    ! [SV87: $i,SV31: $i] :
      ( ( ~ ( elem @ ( m_Ack @ SV31 @ SV87 ) @ ( queue @ ( host @ SV31 ) ) )
        | ~ ( ~ ( setIn @ SV31 @ pids )
            | ~ ( setIn @ SV87 @ pids ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[330]) ).

thf(396,plain,
    ! [SV88: $i,SV32: $i] :
      ( ( ! [SY396: $i] :
            ~ ( ~ ( ~ ( elem @ SV32 @ ( cons @ SV88 @ SY396 ) )
                  | ( SV32 = SV88 )
                  | ( elem @ SV32 @ SY396 ) )
              | ~ ( ~ ( ( SV32 = SV88 )
                      | ( elem @ SV32 @ SY396 ) )
                  | ( elem @ SV32 @ ( cons @ SV88 @ SY396 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[331]) ).

thf(397,plain,
    ! [SV89: $i,SV33: $i] :
      ( ( ! [SY397: $i] :
            ( ( m_Ack @ SV33 @ SV89 )
           != ( m_Halt @ SY397 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[332]) ).

thf(398,plain,
    ( ( ~ ( ( ( host @ sK3_SY149 )
           != ( host @ sK5_SX0 ) ) )
      | ! [SY398: $i] :
          ( ( ( s @ ( host @ sK3_SY149 ) )
           != ( host @ SY398 ) )
          | ~ ( ( ( host @ sK3_SY149 )
               != ( host @ SY398 ) ) )
          | ! [SY399: $i] :
              ( ( ( host @ sK3_SY149 )
               != ( host @ SY399 ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY149 ) ) @ ( host @ sK5_SX0 ) )
                          | ~ ( setIn @ SY399 @ alive ) )
                    | ~ ( elem @ ( m_Halt @ SY399 ) @ ( snoc @ ( queue @ ( host @ SY398 ) ) @ ( m_Halt @ sK3_SY149 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ( setIn @ sK5_SX0 @ alive )
                          | ( ( index @ ldr @ ( host @ sK5_SX0 ) )
                           != ( host @ sK5_SX0 ) ) )
                    | ( ( index @ status @ ( host @ sK5_SX0 ) )
                     != norm ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[333]) ).

thf(399,plain,
    ! [SV90: $i,SV34: $i] :
      ( ( ~ ( ordered @ SV34 )
        | ( ordered @ ( snoc @ SV34 @ ( m_Ldr @ SV90 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[334]) ).

thf(400,plain,
    ! [SV91: $i,SV35: $i] :
      ( ( ! [SY400: $i] :
            ( ~ ~ ( ~ ( leq @ SV35 @ SV91 )
                  | ~ ( leq @ SV91 @ SY400 ) )
            | ( leq @ SV35 @ SY400 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[335]) ).

thf(401,plain,
    ! [SV92: $i,SV36: $i] :
      ( ( ! [SY401: $i,SY402: $i] :
            ( ~ ( ( SY401 != SY402 ) )
            | ( ( m_Ack @ SV36 @ SY401 )
             != ( m_Ack @ SV92 @ SY402 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[337]) ).

thf(402,plain,
    ! [SV93: $i,SV37: $i] :
      ( ( ( m_Ldr @ SV37 )
       != ( m_NormQ @ SV93 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[339]) ).

thf(403,plain,
    ! [SV94: $i,SV38: $i] :
      ( ( ( m_Down @ SV38 )
       != ( m_Ldr @ SV94 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[340]) ).

thf(404,plain,
    ! [SV39: $i,SV95: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV39 ) )
                    | ~ ( setIn @ SV95 @ alive ) )
              | ( ( index @ status @ ( host @ SV95 ) )
               != elec_2 ) )
        | ~ ~ ( ~ ~ ( ~ ( setIn @ SV39 @ alive )
                    | ( ( index @ ldr @ ( host @ SV39 ) )
                     != ( host @ SV39 ) ) )
              | ( ( index @ status @ ( host @ SV39 ) )
               != norm ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[341]) ).

thf(405,plain,
    ! [SV40: $i,SV96: $i] :
      ( ( ~ ( elem @ ( m_Ldr @ SV96 ) @ ( queue @ ( host @ SV40 ) ) )
        | ~ ( leq @ ( host @ SV40 ) @ ( host @ SV96 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[342]) ).

thf(406,plain,
    ! [SV97: $i,SV41: $i] :
      ( ( ( m_Down @ SV41 )
       != ( m_NotNorm @ SV97 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[343]) ).

thf(407,plain,
    ! [SV98: $i,SV42: $i] :
      ( ( ! [SY403: $i,SY404: $i] :
            ( ~ ( ( SV42 != SV98 ) )
            | ( ( m_Ack @ SV42 @ SY403 )
             != ( m_Ack @ SV98 @ SY404 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[345]) ).

thf(408,plain,
    ! [SV99: $i,SV43: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV43 ) @ ( host @ SV99 ) )
                                | ~ ( setIn @ SV43 @ alive ) )
                          | ~ ( setIn @ SV99 @ alive ) )
                    | ( ( index @ status @ ( host @ SV43 ) )
                     != elec_2 ) )
              | ( ( index @ status @ ( host @ SV99 ) )
               != elec_2 ) )
        | ~ ( leq @ ( index @ pendack @ ( host @ SV43 ) ) @ ( index @ pendack @ ( host @ SV99 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[346]) ).

thf(409,plain,
    ! [SV44: $i] :
      ( ( ( ~ ~ ( ~ ~ ( leq @ ( host @ sK3_SY149 ) @ SV44 )
                | ~ ( leq @ ( s @ zero ) @ SV44 ) ) )
        = $true )
      | ( ( ( setIn @ SV44 @ ( index @ down @ ( host @ sK3_SY149 ) ) )
          | ( SV44
            = ( host @ sK4_SY233 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[347]) ).

thf(410,plain,
    ! [SV100: $i,SV45: $i] :
      ( ( ! [SY405: $i] :
            ( ( m_Ack @ SV45 @ SV100 )
           != ( m_NotNorm @ SY405 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[348]) ).

thf(411,plain,
    ! [SV101: $i,SV46: $i] :
      ( ( ! [SY406: $i] :
            ( ( m_Ack @ SV46 @ SV101 )
           != ( m_NormQ @ SY406 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[349]) ).

thf(412,plain,
    ! [SV102: $i,SV47: $i] :
      ( ( ~ ( ~ ( ~ ( ( SV47 != SV102 ) )
                | ( ( m_Down @ SV47 )
                 != ( m_Down @ SV102 ) ) )
            | ~ ( ~ ( ( ( m_Down @ SV47 )
                     != ( m_Down @ SV102 ) ) )
                | ( SV47 != SV102 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[350]) ).

thf(413,plain,
    ! [SV103: $i,SV48: $i] :
      ( ( ( ( s @ ( host @ SV48 ) )
         != ( host @ SV103 ) )
        | ( ( host @ SV48 )
         != ( host @ SV103 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[351]) ).

thf(414,plain,
    ! [SV104: $i,SV49: $i] :
      ( ( ~ ( ~ ( ~ ~ ( ~ ( leq @ SV49 @ SV104 )
                      | ~ ( leq @ SV104 @ SV49 ) )
                | ( SV49 = SV104 ) )
            | ~ ( ( SV49 != SV104 )
                | ~ ( ~ ( leq @ SV49 @ SV104 )
                    | ~ ( leq @ SV104 @ SV49 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[353]) ).

thf(415,plain,
    ! [SV50: $i] :
      ( ( ~ ( ~ ( pidElem @ SV50 )
            | ~ ! [SY367: $i] :
                  ~ ( ( SV50
                      = ( m_Halt @ SY367 ) )
                    | ( SV50
                      = ( m_Down @ SY367 ) ) ) )
        | ~ ( ~ ~ ! [SY368: $i] :
                    ~ ( ( SV50
                        = ( m_Halt @ SY368 ) )
                      | ( SV50
                        = ( m_Down @ SY368 ) ) )
            | ( pidElem @ SV50 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[354]) ).

thf(416,plain,
    ! [SV105: $i,SV51: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV51 ) @ ( host @ SV105 ) )
                                | ~ ( setIn @ SV51 @ alive ) )
                          | ~ ( setIn @ SV105 @ alive ) )
                    | ( ( index @ status @ ( host @ SV51 ) )
                     != elec_2 ) )
              | ( ( index @ status @ ( host @ SV105 ) )
               != elec_2 ) )
        | ( leq @ ( index @ pendack @ ( host @ SV105 ) ) @ ( host @ SV51 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[355]) ).

thf(417,plain,
    ! [SV52: $i] :
      ( ( ( ~ ~ ( ~ ( ( ( index @ status @ ( host @ SV52 ) )
                      = elec_1 )
                    | ( ( index @ status @ ( host @ SV52 ) )
                      = elec_2 ) )
                | ~ ( setIn @ SV52 @ alive ) ) )
        = $true )
      | ( ( ( index @ elid @ ( host @ SV52 ) )
          = SV52 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[356]) ).

thf(418,plain,
    ! [SV106: $i,SV53: $i] :
      ( ( ( m_NotNorm @ SV53 )
       != ( m_Halt @ SV106 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[357]) ).

thf(419,plain,
    ! [SV54: $i,SV107: $i] :
      ( ( ! [SY407: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( setIn @ SY407 @ alive )
                        | ~ ( elem @ ( m_Down @ SV107 ) @ ( queue @ ( host @ SY407 ) ) ) )
                  | ( ( host @ SV107 )
                   != ( host @ SV54 ) ) )
            | ~ ~ ( ~ ~ ( ~ ( setIn @ SV54 @ alive )
                        | ( ( index @ ldr @ ( host @ SV54 ) )
                         != ( host @ SV54 ) ) )
                  | ( ( index @ status @ ( host @ SV54 ) )
                   != norm ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[358]) ).

thf(420,plain,
    ! [SV108: $i,SV55: $i] :
      ( ( ~ ( ~ ( ~ ( leq @ SV55 @ ( s @ SV108 ) )
                | ( SV55
                  = ( s @ SV108 ) )
                | ( leq @ SV55 @ SV108 ) )
            | ~ ( ~ ( ( SV55
                      = ( s @ SV108 ) )
                    | ( leq @ SV55 @ SV108 ) )
                | ( leq @ SV55 @ ( s @ SV108 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[359]) ).

thf(421,plain,
    ! [SV109: $i,SV56: $i] :
      ( ( q_nil
       != ( cons @ SV56 @ SV109 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[360]) ).

thf(422,plain,
    ! [SV110: $i,SV57: $i] :
      ( ( ~ ( ( ( host @ SV57 )
             != ( host @ SV110 ) ) )
        | ( SV57 != SV110 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[361]) ).

thf(423,plain,
    ! [SV111: $i,SV58: $i] :
      ( ( ( m_Down @ SV58 )
       != ( m_NormQ @ SV111 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[362]) ).

thf(424,plain,
    ! [SV59: $i,SV112: $i] :
      ( ( ! [SY408: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( setIn @ SY408 @ alive )
                        | ~ ( elem @ ( m_Ack @ SY408 @ SV112 ) @ ( queue @ ( host @ SY408 ) ) ) )
                  | ( ( host @ SV112 )
                   != ( host @ SV59 ) ) )
            | ~ ~ ( ~ ~ ( ~ ( setIn @ SV59 @ alive )
                        | ( ( index @ ldr @ ( host @ SV59 ) )
                         != ( host @ SV59 ) ) )
                  | ( ( index @ status @ ( host @ SV59 ) )
                   != norm ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[363]) ).

thf(425,plain,
    ! [SV113: $i,SV60: $i] :
      ( ( ~ ( ~ ( ~ ( ( SV60 != SV113 ) )
                | ( ( m_Halt @ SV60 )
                 != ( m_Halt @ SV113 ) ) )
            | ~ ( ~ ( ( ( m_Halt @ SV60 )
                     != ( m_Halt @ SV113 ) ) )
                | ( SV60 != SV113 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[364]) ).

thf(426,plain,
    ! [SV114: $i,SV61: $i] :
      ( ( ! [SY409: $i] :
            ( ~ ( elem @ ( m_Ack @ SY409 @ SV61 ) @ ( queue @ ( host @ SV114 ) ) )
            | ~ ( leq @ ( host @ SV61 ) @ ( host @ SY409 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[365]) ).

thf(427,plain,
    ! [SV62: $i,SV115: $i] :
      ( ( ! [SY410: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SV115 ) @ SV62 ) )
                        | ( ( host @ SV115 )
                         != ( host @ SY410 ) ) )
                  | ~ ( elem @ ( m_Down @ SY410 ) @ SV62 ) )
            | ( leq @ SV115 @ SY410 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[366]) ).

thf(428,plain,
    ! [SV116: $i,SV63: $i] :
      ( ( ! [SY411: $i] :
            ( ( m_Ack @ SV63 @ SV116 )
           != ( m_Down @ SY411 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[367]) ).

thf(429,plain,
    ( ( ~ ( ( ( index @ ldr @ ( host @ sK3_SY149 ) )
           != ( host @ sK4_SY233 ) )
          | ( ( index @ status @ ( host @ sK3_SY149 ) )
           != norm ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[368]) ).

thf(430,plain,
    ( ( ~ ( ( ( index @ status @ ( host @ sK3_SY149 ) )
           != wait )
          | ( ( host @ sK4_SY233 )
           != ( host @ ( index @ elid @ ( host @ sK3_SY149 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[368]) ).

thf(431,plain,
    ! [SV117: $i,SV64: $i] :
      ( ( ( m_Ldr @ SV64 )
       != ( m_NotNorm @ SV117 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[369]) ).

thf(432,plain,
    ! [SV118: $i,SV65: $i] :
      ( ( ! [SY412: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SY412 ) ) @ ( host @ SV65 ) )
                              | ~ ( setIn @ SY412 @ alive ) )
                        | ~ ( elem @ ( m_Halt @ SY412 ) @ ( queue @ ( host @ SV118 ) ) ) )
                  | ( ( index @ status @ ( host @ SY412 ) )
                   != elec_2 ) )
            | ~ ~ ( ~ ~ ( ~ ( setIn @ SV65 @ alive )
                        | ( ( index @ ldr @ ( host @ SV65 ) )
                         != ( host @ SV65 ) ) )
                  | ( ( index @ status @ ( host @ SV65 ) )
                   != norm ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[370]) ).

thf(433,plain,
    ! [SV119: $i,SV66: $i] :
      ( ( ~ ( ~ ( ~ ( ( SV66 != SV119 ) )
                | ( ( m_Ldr @ SV66 )
                 != ( m_Ldr @ SV119 ) ) )
            | ~ ( ~ ( ( ( m_Ldr @ SV66 )
                     != ( m_Ldr @ SV119 ) ) )
                | ( SV66 != SV119 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[371]) ).

thf(434,plain,
    ! [SV71: $i,SV120: $i,SV8: $i] :
      ( ( ( snoc @ ( cons @ SV8 @ SV120 ) @ SV71 )
        = ( cons @ SV8 @ ( snoc @ SV120 @ SV71 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[376]) ).

thf(435,plain,
    ! [SV72: $i,SV14: $i] :
      ( ( ( leq @ SV14 @ SV72 )
        = $true )
      | ( ( leq @ SV72 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[379]) ).

thf(436,plain,
    ! [SV73: $i,SV17: $i] :
      ( ( ( m_NormQ @ SV17 )
        = ( m_Halt @ SV73 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[381]) ).

thf(437,plain,
    ! [SV18: $i,SV74: $i] :
      ( ( ( ~ ~ ( ~ ( ( SV74 != SV18 ) )
                | ( ( host @ SV74 )
                 != ( host @ SV18 ) ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV18 @ alive )
          | ~ ( setIn @ SV74 @ alive ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[382]) ).

thf(438,plain,
    ! [SV19: $i,SV75: $i] :
      ( ( ( ~ ( elem @ ( m_Halt @ SV75 ) @ ( queue @ ( host @ SV19 ) ) ) )
        = $true )
      | ( ( ~ ( leq @ ( host @ SV19 ) @ ( host @ SV75 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[383]) ).

thf(439,plain,
    ! [SV76: $i,SV121: $i,SV20: $i] :
      ( ( ~ ( ~ ( ~ ( elem @ SV20 @ ( snoc @ SV121 @ SV76 ) )
                | ( SV20 = SV76 )
                | ( elem @ SV20 @ SV121 ) )
            | ~ ( ~ ( ( SV20 = SV76 )
                    | ( elem @ SV20 @ SV121 ) )
                | ( elem @ SV20 @ ( snoc @ SV121 @ SV76 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[384]) ).

thf(440,plain,
    ! [SV77: $i,SV21: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( setIn @ SV21 @ alive )
                      | ~ ( leq @ SV77 @ SV21 ) )
                | ( ( host @ SV77 )
                 != ( host @ SV21 ) ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV77 @ alive ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[385]) ).

thf(441,plain,
    ! [SV78: $i,SV22: $i] :
      ( ( ( m_Down @ SV22 )
        = ( m_Halt @ SV78 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[386]) ).

thf(442,plain,
    ! [SV23: $i,SV79: $i] :
      ( ( ( ~ ( elem @ ( m_Down @ SV79 ) @ ( queue @ ( host @ SV23 ) ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV79 @ alive ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[387]) ).

thf(443,plain,
    ! [SV80: $i,SV24: $i] :
      ( ( ( m_Ldr @ SV24 )
        = ( m_Halt @ SV80 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[388]) ).

thf(444,plain,
    ! [SV122: $i,SV81: $i,SV25: $i] :
      ( ( ( m_Ack @ SV25 @ SV81 )
       != ( m_Ldr @ SV122 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[389]) ).

thf(445,plain,
    ! [SV82: $i,SV26: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                                        | ~ ( setIn @ SV82 @ alive ) )
                                  | ( ( index @ ldr @ ( host @ SV26 ) )
                                   != ( host @ SV26 ) ) )
                            | ( ( index @ status @ ( host @ SV26 ) )
                             != norm ) )
                      | ( ( index @ status @ ( host @ SV82 ) )
                       != norm ) )
                | ( ( index @ ldr @ ( host @ SV82 ) )
                 != ( host @ SV82 ) ) ) )
        = $true )
      | ( ( SV82 = SV26 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[390]) ).

thf(446,plain,
    ! [SV27: $i,SV83: $i] :
      ( ( q_nil
        = ( snoc @ SV83 @ SV27 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[391]) ).

thf(447,plain,
    ! [SV84: $i,SV28: $i] :
      ( ( ~ ( ~ ( leq @ SV28 @ SV84 )
            | ( leq @ ( s @ SV28 ) @ ( s @ SV84 ) ) )
        | ~ ( ~ ( leq @ ( s @ SV28 ) @ ( s @ SV84 ) )
            | ( leq @ SV28 @ SV84 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[392]) ).

thf(448,plain,
    ! [SV29: $i,SV85: $i,SV123: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY413: $i] :
                                ( ~ ~ ( ~ ~ ( leq @ ( host @ SV123 ) @ SY413 )
                                      | ~ ( leq @ ( s @ zero ) @ SY413 ) )
                                | ( setIn @ SY413 @ ( index @ down @ ( host @ SV123 ) ) )
                                | ( SY413
                                  = ( host @ SV85 ) ) )
                          | ~ ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
                    | ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
              | ( ( index @ status @ ( host @ SV123 ) )
               != elec_1 ) )
        | ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                    | ( ( index @ ldr @ ( host @ SV29 ) )
                     != ( host @ SV29 ) ) )
              | ( ( index @ status @ ( host @ SV29 ) )
               != norm ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[393]) ).

thf(449,plain,
    ! [SV124: $i,SV86: $i,SV30: $i] :
      ( ( ~ ( ordered @ SV30 )
        | ( ordered @ ( snoc @ SV30 @ ( m_Ack @ SV86 @ SV124 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[394]) ).

thf(450,plain,
    ! [SV87: $i,SV31: $i] :
      ( ( ( ~ ( elem @ ( m_Ack @ SV31 @ SV87 ) @ ( queue @ ( host @ SV31 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( setIn @ SV31 @ pids )
              | ~ ( setIn @ SV87 @ pids ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[395]) ).

thf(451,plain,
    ! [SV125: $i,SV88: $i,SV32: $i] :
      ( ( ~ ( ~ ( ~ ( elem @ SV32 @ ( cons @ SV88 @ SV125 ) )
                | ( SV32 = SV88 )
                | ( elem @ SV32 @ SV125 ) )
            | ~ ( ~ ( ( SV32 = SV88 )
                    | ( elem @ SV32 @ SV125 ) )
                | ( elem @ SV32 @ ( cons @ SV88 @ SV125 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[396]) ).

thf(452,plain,
    ! [SV126: $i,SV89: $i,SV33: $i] :
      ( ( ( m_Ack @ SV33 @ SV89 )
       != ( m_Halt @ SV126 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[397]) ).

thf(453,plain,
    ( ( ~ ( ( ( host @ sK3_SY149 )
           != ( host @ sK5_SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[398]) ).

thf(454,plain,
    ( ( ! [SY398: $i] :
          ( ( ( s @ ( host @ sK3_SY149 ) )
           != ( host @ SY398 ) )
          | ~ ( ( ( host @ sK3_SY149 )
               != ( host @ SY398 ) ) )
          | ! [SY399: $i] :
              ( ( ( host @ sK3_SY149 )
               != ( host @ SY399 ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY149 ) ) @ ( host @ sK5_SX0 ) )
                          | ~ ( setIn @ SY399 @ alive ) )
                    | ~ ( elem @ ( m_Halt @ SY399 ) @ ( snoc @ ( queue @ ( host @ SY398 ) ) @ ( m_Halt @ sK3_SY149 ) ) ) )
              | ~ ~ ( ~ ~ ( ~ ( setIn @ sK5_SX0 @ alive )
                          | ( ( index @ ldr @ ( host @ sK5_SX0 ) )
                           != ( host @ sK5_SX0 ) ) )
                    | ( ( index @ status @ ( host @ sK5_SX0 ) )
                     != norm ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[398]) ).

thf(455,plain,
    ! [SV90: $i,SV34: $i] :
      ( ( ( ~ ( ordered @ SV34 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV34 @ ( m_Ldr @ SV90 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[399]) ).

thf(456,plain,
    ! [SV127: $i,SV91: $i,SV35: $i] :
      ( ( ~ ~ ( ~ ( leq @ SV35 @ SV91 )
              | ~ ( leq @ SV91 @ SV127 ) )
        | ( leq @ SV35 @ SV127 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[400]) ).

thf(457,plain,
    ! [SV92: $i,SV36: $i,SV128: $i] :
      ( ( ! [SY414: $i] :
            ( ~ ( ( SV128 != SY414 ) )
            | ( ( m_Ack @ SV36 @ SV128 )
             != ( m_Ack @ SV92 @ SY414 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[401]) ).

thf(458,plain,
    ! [SV93: $i,SV37: $i] :
      ( ( ( m_Ldr @ SV37 )
        = ( m_NormQ @ SV93 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[402]) ).

thf(459,plain,
    ! [SV94: $i,SV38: $i] :
      ( ( ( m_Down @ SV38 )
        = ( m_Ldr @ SV94 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[403]) ).

thf(460,plain,
    ! [SV39: $i,SV95: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV39 ) )
                      | ~ ( setIn @ SV95 @ alive ) )
                | ( ( index @ status @ ( host @ SV95 ) )
                 != elec_2 ) ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV39 @ alive )
                      | ( ( index @ ldr @ ( host @ SV39 ) )
                       != ( host @ SV39 ) ) )
                | ( ( index @ status @ ( host @ SV39 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[404]) ).

thf(461,plain,
    ! [SV40: $i,SV96: $i] :
      ( ( ( ~ ( elem @ ( m_Ldr @ SV96 ) @ ( queue @ ( host @ SV40 ) ) ) )
        = $true )
      | ( ( ~ ( leq @ ( host @ SV40 ) @ ( host @ SV96 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[405]) ).

thf(462,plain,
    ! [SV97: $i,SV41: $i] :
      ( ( ( m_Down @ SV41 )
        = ( m_NotNorm @ SV97 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[406]) ).

thf(463,plain,
    ! [SV129: $i,SV98: $i,SV42: $i] :
      ( ( ! [SY415: $i] :
            ( ~ ( ( SV42 != SV98 ) )
            | ( ( m_Ack @ SV42 @ SV129 )
             != ( m_Ack @ SV98 @ SY415 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[407]) ).

thf(464,plain,
    ! [SV99: $i,SV43: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV43 ) @ ( host @ SV99 ) )
                                  | ~ ( setIn @ SV43 @ alive ) )
                            | ~ ( setIn @ SV99 @ alive ) )
                      | ( ( index @ status @ ( host @ SV43 ) )
                       != elec_2 ) )
                | ( ( index @ status @ ( host @ SV99 ) )
                 != elec_2 ) ) )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV43 ) ) @ ( index @ pendack @ ( host @ SV99 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[408]) ).

thf(465,plain,
    ! [SV44: $i] :
      ( ( ( ~ ( ~ ~ ( leq @ ( host @ sK3_SY149 ) @ SV44 )
              | ~ ( leq @ ( s @ zero ) @ SV44 ) ) )
        = $false )
      | ( ( ( setIn @ SV44 @ ( index @ down @ ( host @ sK3_SY149 ) ) )
          | ( SV44
            = ( host @ sK4_SY233 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[409]) ).

thf(466,plain,
    ! [SV130: $i,SV100: $i,SV45: $i] :
      ( ( ( m_Ack @ SV45 @ SV100 )
       != ( m_NotNorm @ SV130 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[410]) ).

thf(467,plain,
    ! [SV131: $i,SV101: $i,SV46: $i] :
      ( ( ( m_Ack @ SV46 @ SV101 )
       != ( m_NormQ @ SV131 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[411]) ).

thf(468,plain,
    ! [SV102: $i,SV47: $i] :
      ( ( ~ ( ~ ( ( SV47 != SV102 ) )
            | ( ( m_Down @ SV47 )
             != ( m_Down @ SV102 ) ) )
        | ~ ( ~ ( ( ( m_Down @ SV47 )
                 != ( m_Down @ SV102 ) ) )
            | ( SV47 != SV102 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[412]) ).

thf(469,plain,
    ! [SV103: $i,SV48: $i] :
      ( ( ( ( s @ ( host @ SV48 ) )
         != ( host @ SV103 ) )
        = $true )
      | ( ( ( host @ SV48 )
         != ( host @ SV103 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[413]) ).

thf(470,plain,
    ! [SV104: $i,SV49: $i] :
      ( ( ~ ( ~ ~ ( ~ ( leq @ SV49 @ SV104 )
                  | ~ ( leq @ SV104 @ SV49 ) )
            | ( SV49 = SV104 ) )
        | ~ ( ( SV49 != SV104 )
            | ~ ( ~ ( leq @ SV49 @ SV104 )
                | ~ ( leq @ SV104 @ SV49 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[414]) ).

thf(471,plain,
    ! [SV50: $i] :
      ( ( ~ ( ~ ( pidElem @ SV50 )
            | ~ ! [SY367: $i] :
                  ~ ( ( SV50
                      = ( m_Halt @ SY367 ) )
                    | ( SV50
                      = ( m_Down @ SY367 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[415]) ).

thf(472,plain,
    ! [SV50: $i] :
      ( ( ~ ( ~ ~ ! [SY368: $i] :
                    ~ ( ( SV50
                        = ( m_Halt @ SY368 ) )
                      | ( SV50
                        = ( m_Down @ SY368 ) ) )
            | ( pidElem @ SV50 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[415]) ).

thf(473,plain,
    ! [SV105: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV51 ) @ ( host @ SV105 ) )
                                  | ~ ( setIn @ SV51 @ alive ) )
                            | ~ ( setIn @ SV105 @ alive ) )
                      | ( ( index @ status @ ( host @ SV51 ) )
                       != elec_2 ) )
                | ( ( index @ status @ ( host @ SV105 ) )
                 != elec_2 ) ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV105 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[416]) ).

thf(474,plain,
    ! [SV52: $i] :
      ( ( ( ~ ( ~ ( ( ( index @ status @ ( host @ SV52 ) )
                    = elec_1 )
                  | ( ( index @ status @ ( host @ SV52 ) )
                    = elec_2 ) )
              | ~ ( setIn @ SV52 @ alive ) ) )
        = $false )
      | ( ( ( index @ elid @ ( host @ SV52 ) )
          = SV52 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[417]) ).

thf(475,plain,
    ! [SV106: $i,SV53: $i] :
      ( ( ( m_NotNorm @ SV53 )
        = ( m_Halt @ SV106 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[418]) ).

thf(476,plain,
    ! [SV54: $i,SV107: $i,SV132: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV132 @ alive )
                    | ~ ( elem @ ( m_Down @ SV107 ) @ ( queue @ ( host @ SV132 ) ) ) )
              | ( ( host @ SV107 )
               != ( host @ SV54 ) ) )
        | ~ ~ ( ~ ~ ( ~ ( setIn @ SV54 @ alive )
                    | ( ( index @ ldr @ ( host @ SV54 ) )
                     != ( host @ SV54 ) ) )
              | ( ( index @ status @ ( host @ SV54 ) )
               != norm ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[419]) ).

thf(477,plain,
    ! [SV108: $i,SV55: $i] :
      ( ( ~ ( ~ ( leq @ SV55 @ ( s @ SV108 ) )
            | ( SV55
              = ( s @ SV108 ) )
            | ( leq @ SV55 @ SV108 ) )
        | ~ ( ~ ( ( SV55
                  = ( s @ SV108 ) )
                | ( leq @ SV55 @ SV108 ) )
            | ( leq @ SV55 @ ( s @ SV108 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[420]) ).

thf(478,plain,
    ! [SV109: $i,SV56: $i] :
      ( ( q_nil
        = ( cons @ SV56 @ SV109 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[421]) ).

thf(479,plain,
    ! [SV110: $i,SV57: $i] :
      ( ( ( ~ ( ( ( host @ SV57 )
               != ( host @ SV110 ) ) ) )
        = $true )
      | ( ( SV57 != SV110 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[422]) ).

thf(480,plain,
    ! [SV111: $i,SV58: $i] :
      ( ( ( m_Down @ SV58 )
        = ( m_NormQ @ SV111 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[423]) ).

thf(481,plain,
    ! [SV59: $i,SV112: $i,SV133: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV133 @ alive )
                    | ~ ( elem @ ( m_Ack @ SV133 @ SV112 ) @ ( queue @ ( host @ SV133 ) ) ) )
              | ( ( host @ SV112 )
               != ( host @ SV59 ) ) )
        | ~ ~ ( ~ ~ ( ~ ( setIn @ SV59 @ alive )
                    | ( ( index @ ldr @ ( host @ SV59 ) )
                     != ( host @ SV59 ) ) )
              | ( ( index @ status @ ( host @ SV59 ) )
               != norm ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[424]) ).

thf(482,plain,
    ! [SV113: $i,SV60: $i] :
      ( ( ~ ( ~ ( ( SV60 != SV113 ) )
            | ( ( m_Halt @ SV60 )
             != ( m_Halt @ SV113 ) ) )
        | ~ ( ~ ( ( ( m_Halt @ SV60 )
                 != ( m_Halt @ SV113 ) ) )
            | ( SV60 != SV113 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[425]) ).

thf(483,plain,
    ! [SV114: $i,SV61: $i,SV134: $i] :
      ( ( ~ ( elem @ ( m_Ack @ SV134 @ SV61 ) @ ( queue @ ( host @ SV114 ) ) )
        | ~ ( leq @ ( host @ SV61 ) @ ( host @ SV134 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[426]) ).

thf(484,plain,
    ! [SV135: $i,SV62: $i,SV115: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SV115 ) @ SV62 ) )
                    | ( ( host @ SV115 )
                     != ( host @ SV135 ) ) )
              | ~ ( elem @ ( m_Down @ SV135 ) @ SV62 ) )
        | ( leq @ SV115 @ SV135 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[427]) ).

thf(485,plain,
    ! [SV136: $i,SV116: $i,SV63: $i] :
      ( ( ( m_Ack @ SV63 @ SV116 )
       != ( m_Down @ SV136 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[428]) ).

thf(486,plain,
    ( ( ( ( index @ ldr @ ( host @ sK3_SY149 ) )
       != ( host @ sK4_SY233 ) )
      | ( ( index @ status @ ( host @ sK3_SY149 ) )
       != norm ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[429]) ).

thf(487,plain,
    ( ( ( ( index @ status @ ( host @ sK3_SY149 ) )
       != wait )
      | ( ( host @ sK4_SY233 )
       != ( host @ ( index @ elid @ ( host @ sK3_SY149 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[430]) ).

thf(488,plain,
    ! [SV117: $i,SV64: $i] :
      ( ( ( m_Ldr @ SV64 )
        = ( m_NotNorm @ SV117 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[431]) ).

thf(489,plain,
    ! [SV118: $i,SV65: $i,SV137: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV137 ) ) @ ( host @ SV65 ) )
                          | ~ ( setIn @ SV137 @ alive ) )
                    | ~ ( elem @ ( m_Halt @ SV137 ) @ ( queue @ ( host @ SV118 ) ) ) )
              | ( ( index @ status @ ( host @ SV137 ) )
               != elec_2 ) )
        | ~ ~ ( ~ ~ ( ~ ( setIn @ SV65 @ alive )
                    | ( ( index @ ldr @ ( host @ SV65 ) )
                     != ( host @ SV65 ) ) )
              | ( ( index @ status @ ( host @ SV65 ) )
               != norm ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[432]) ).

thf(490,plain,
    ! [SV119: $i,SV66: $i] :
      ( ( ~ ( ~ ( ( SV66 != SV119 ) )
            | ( ( m_Ldr @ SV66 )
             != ( m_Ldr @ SV119 ) ) )
        | ~ ( ~ ( ( ( m_Ldr @ SV66 )
                 != ( m_Ldr @ SV119 ) ) )
            | ( SV66 != SV119 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[433]) ).

thf(491,plain,
    ! [SV18: $i,SV74: $i] :
      ( ( ( ~ ( ~ ( ( SV74 != SV18 ) )
              | ( ( host @ SV74 )
               != ( host @ SV18 ) ) ) )
        = $false )
      | ( ( ~ ( setIn @ SV18 @ alive )
          | ~ ( setIn @ SV74 @ alive ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[437]) ).

thf(492,plain,
    ! [SV19: $i,SV75: $i] :
      ( ( ( elem @ ( m_Halt @ SV75 ) @ ( queue @ ( host @ SV19 ) ) )
        = $false )
      | ( ( ~ ( leq @ ( host @ SV19 ) @ ( host @ SV75 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[438]) ).

thf(493,plain,
    ! [SV76: $i,SV121: $i,SV20: $i] :
      ( ( ~ ( ~ ( elem @ SV20 @ ( snoc @ SV121 @ SV76 ) )
            | ( SV20 = SV76 )
            | ( elem @ SV20 @ SV121 ) )
        | ~ ( ~ ( ( SV20 = SV76 )
                | ( elem @ SV20 @ SV121 ) )
            | ( elem @ SV20 @ ( snoc @ SV121 @ SV76 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[439]) ).

thf(494,plain,
    ! [SV77: $i,SV21: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( setIn @ SV21 @ alive )
                    | ~ ( leq @ SV77 @ SV21 ) )
              | ( ( host @ SV77 )
               != ( host @ SV21 ) ) ) )
        = $false )
      | ( ( ~ ( setIn @ SV77 @ alive ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[440]) ).

thf(495,plain,
    ! [SV23: $i,SV79: $i] :
      ( ( ( elem @ ( m_Down @ SV79 ) @ ( queue @ ( host @ SV23 ) ) )
        = $false )
      | ( ( ~ ( setIn @ SV79 @ alive ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[442]) ).

thf(496,plain,
    ! [SV122: $i,SV81: $i,SV25: $i] :
      ( ( ( m_Ack @ SV25 @ SV81 )
        = ( m_Ldr @ SV122 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[444]) ).

thf(497,plain,
    ! [SV82: $i,SV26: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                                      | ~ ( setIn @ SV82 @ alive ) )
                                | ( ( index @ ldr @ ( host @ SV26 ) )
                                 != ( host @ SV26 ) ) )
                          | ( ( index @ status @ ( host @ SV26 ) )
                           != norm ) )
                    | ( ( index @ status @ ( host @ SV82 ) )
                     != norm ) )
              | ( ( index @ ldr @ ( host @ SV82 ) )
               != ( host @ SV82 ) ) ) )
        = $false )
      | ( ( SV82 = SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[445]) ).

thf(498,plain,
    ! [SV84: $i,SV28: $i] :
      ( ( ~ ( ~ ( leq @ SV28 @ SV84 )
            | ( leq @ ( s @ SV28 ) @ ( s @ SV84 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[447]) ).

thf(499,plain,
    ! [SV84: $i,SV28: $i] :
      ( ( ~ ( ~ ( leq @ ( s @ SV28 ) @ ( s @ SV84 ) )
            | ( leq @ SV28 @ SV84 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[447]) ).

thf(500,plain,
    ! [SV29: $i,SV85: $i,SV123: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY413: $i] :
                                  ( ~ ~ ( ~ ~ ( leq @ ( host @ SV123 ) @ SY413 )
                                        | ~ ( leq @ ( s @ zero ) @ SY413 ) )
                                  | ( setIn @ SY413 @ ( index @ down @ ( host @ SV123 ) ) )
                                  | ( SY413
                                    = ( host @ SV85 ) ) )
                            | ~ ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
                      | ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
                | ( ( index @ status @ ( host @ SV123 ) )
                 != elec_1 ) ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[448]) ).

thf(501,plain,
    ! [SV124: $i,SV86: $i,SV30: $i] :
      ( ( ( ~ ( ordered @ SV30 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV30 @ ( m_Ack @ SV86 @ SV124 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[449]) ).

thf(502,plain,
    ! [SV87: $i,SV31: $i] :
      ( ( ( elem @ ( m_Ack @ SV31 @ SV87 ) @ ( queue @ ( host @ SV31 ) ) )
        = $false )
      | ( ( ~ ( ~ ( setIn @ SV31 @ pids )
              | ~ ( setIn @ SV87 @ pids ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[450]) ).

thf(503,plain,
    ! [SV125: $i,SV88: $i,SV32: $i] :
      ( ( ~ ( ~ ( elem @ SV32 @ ( cons @ SV88 @ SV125 ) )
            | ( SV32 = SV88 )
            | ( elem @ SV32 @ SV125 ) )
        | ~ ( ~ ( ( SV32 = SV88 )
                | ( elem @ SV32 @ SV125 ) )
            | ( elem @ SV32 @ ( cons @ SV88 @ SV125 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[451]) ).

thf(504,plain,
    ! [SV126: $i,SV89: $i,SV33: $i] :
      ( ( ( m_Ack @ SV33 @ SV89 )
        = ( m_Halt @ SV126 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[452]) ).

thf(505,plain,
    ( ( ( host @ sK3_SY149 )
     != ( host @ sK5_SX0 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[453]) ).

thf(506,plain,
    ( ( ( ( s @ ( host @ sK3_SY149 ) )
       != ( host @ sK6_SY398 ) )
      | ~ ( ( ( host @ sK3_SY149 )
           != ( host @ sK6_SY398 ) ) )
      | ! [SY416: $i] :
          ( ( ( host @ sK3_SY149 )
           != ( host @ SY416 ) )
          | ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY149 ) ) @ ( host @ sK5_SX0 ) )
                      | ~ ( setIn @ SY416 @ alive ) )
                | ~ ( elem @ ( m_Halt @ SY416 ) @ ( snoc @ ( queue @ ( host @ sK6_SY398 ) ) @ ( m_Halt @ sK3_SY149 ) ) ) )
          | ~ ~ ( ~ ~ ( ~ ( setIn @ sK5_SX0 @ alive )
                      | ( ( index @ ldr @ ( host @ sK5_SX0 ) )
                       != ( host @ sK5_SX0 ) ) )
                | ( ( index @ status @ ( host @ sK5_SX0 ) )
                 != norm ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[454]) ).

thf(507,plain,
    ! [SV90: $i,SV34: $i] :
      ( ( ( ordered @ SV34 )
        = $false )
      | ( ( ordered @ ( snoc @ SV34 @ ( m_Ldr @ SV90 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[455]) ).

thf(508,plain,
    ! [SV127: $i,SV91: $i,SV35: $i] :
      ( ( ( ~ ~ ( ~ ( leq @ SV35 @ SV91 )
                | ~ ( leq @ SV91 @ SV127 ) ) )
        = $true )
      | ( ( leq @ SV35 @ SV127 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[456]) ).

thf(509,plain,
    ! [SV92: $i,SV36: $i,SV138: $i,SV128: $i] :
      ( ( ~ ( ( SV128 != SV138 ) )
        | ( ( m_Ack @ SV36 @ SV128 )
         != ( m_Ack @ SV92 @ SV138 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[457]) ).

thf(510,plain,
    ! [SV39: $i,SV95: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV39 ) )
                    | ~ ( setIn @ SV95 @ alive ) )
              | ( ( index @ status @ ( host @ SV95 ) )
               != elec_2 ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV39 @ alive )
                      | ( ( index @ ldr @ ( host @ SV39 ) )
                       != ( host @ SV39 ) ) )
                | ( ( index @ status @ ( host @ SV39 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[460]) ).

thf(511,plain,
    ! [SV40: $i,SV96: $i] :
      ( ( ( elem @ ( m_Ldr @ SV96 ) @ ( queue @ ( host @ SV40 ) ) )
        = $false )
      | ( ( ~ ( leq @ ( host @ SV40 ) @ ( host @ SV96 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[461]) ).

thf(512,plain,
    ! [SV139: $i,SV129: $i,SV98: $i,SV42: $i] :
      ( ( ~ ( ( SV42 != SV98 ) )
        | ( ( m_Ack @ SV42 @ SV129 )
         != ( m_Ack @ SV98 @ SV139 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[463]) ).

thf(513,plain,
    ! [SV99: $i,SV43: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV43 ) @ ( host @ SV99 ) )
                                | ~ ( setIn @ SV43 @ alive ) )
                          | ~ ( setIn @ SV99 @ alive ) )
                    | ( ( index @ status @ ( host @ SV43 ) )
                     != elec_2 ) )
              | ( ( index @ status @ ( host @ SV99 ) )
               != elec_2 ) ) )
        = $false )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV43 ) ) @ ( index @ pendack @ ( host @ SV99 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[464]) ).

thf(514,plain,
    ! [SV44: $i] :
      ( ( ( ~ ~ ( leq @ ( host @ sK3_SY149 ) @ SV44 )
          | ~ ( leq @ ( s @ zero ) @ SV44 ) )
        = $true )
      | ( ( ( setIn @ SV44 @ ( index @ down @ ( host @ sK3_SY149 ) ) )
          | ( SV44
            = ( host @ sK4_SY233 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[465]) ).

thf(515,plain,
    ! [SV130: $i,SV100: $i,SV45: $i] :
      ( ( ( m_Ack @ SV45 @ SV100 )
        = ( m_NotNorm @ SV130 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[466]) ).

thf(516,plain,
    ! [SV131: $i,SV101: $i,SV46: $i] :
      ( ( ( m_Ack @ SV46 @ SV101 )
        = ( m_NormQ @ SV131 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[467]) ).

thf(517,plain,
    ! [SV102: $i,SV47: $i] :
      ( ( ~ ( ~ ( ( SV47 != SV102 ) )
            | ( ( m_Down @ SV47 )
             != ( m_Down @ SV102 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[468]) ).

thf(518,plain,
    ! [SV102: $i,SV47: $i] :
      ( ( ~ ( ~ ( ( ( m_Down @ SV47 )
                 != ( m_Down @ SV102 ) ) )
            | ( SV47 != SV102 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[468]) ).

thf(519,plain,
    ! [SV103: $i,SV48: $i] :
      ( ( ( ( s @ ( host @ SV48 ) )
          = ( host @ SV103 ) )
        = $false )
      | ( ( ( host @ SV48 )
         != ( host @ SV103 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[469]) ).

thf(520,plain,
    ! [SV104: $i,SV49: $i] :
      ( ( ~ ( ~ ~ ( ~ ( leq @ SV49 @ SV104 )
                  | ~ ( leq @ SV104 @ SV49 ) )
            | ( SV49 = SV104 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[470]) ).

thf(521,plain,
    ! [SV104: $i,SV49: $i] :
      ( ( ~ ( ( SV49 != SV104 )
            | ~ ( ~ ( leq @ SV49 @ SV104 )
                | ~ ( leq @ SV104 @ SV49 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[470]) ).

thf(522,plain,
    ! [SV50: $i] :
      ( ( ~ ( pidElem @ SV50 )
        | ~ ! [SY367: $i] :
              ~ ( ( SV50
                  = ( m_Halt @ SY367 ) )
                | ( SV50
                  = ( m_Down @ SY367 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[471]) ).

thf(523,plain,
    ! [SV50: $i] :
      ( ( ~ ~ ! [SY368: $i] :
                ~ ( ( SV50
                    = ( m_Halt @ SY368 ) )
                  | ( SV50
                    = ( m_Down @ SY368 ) ) )
        | ( pidElem @ SV50 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[472]) ).

thf(524,plain,
    ! [SV105: $i,SV51: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV51 ) @ ( host @ SV105 ) )
                                | ~ ( setIn @ SV51 @ alive ) )
                          | ~ ( setIn @ SV105 @ alive ) )
                    | ( ( index @ status @ ( host @ SV51 ) )
                     != elec_2 ) )
              | ( ( index @ status @ ( host @ SV105 ) )
               != elec_2 ) ) )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV105 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[473]) ).

thf(525,plain,
    ! [SV52: $i] :
      ( ( ( ~ ( ( ( index @ status @ ( host @ SV52 ) )
                = elec_1 )
              | ( ( index @ status @ ( host @ SV52 ) )
                = elec_2 ) )
          | ~ ( setIn @ SV52 @ alive ) )
        = $true )
      | ( ( ( index @ elid @ ( host @ SV52 ) )
          = SV52 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[474]) ).

thf(526,plain,
    ! [SV54: $i,SV107: $i,SV132: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV132 @ alive )
                      | ~ ( elem @ ( m_Down @ SV107 ) @ ( queue @ ( host @ SV132 ) ) ) )
                | ( ( host @ SV107 )
                 != ( host @ SV54 ) ) ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV54 @ alive )
                      | ( ( index @ ldr @ ( host @ SV54 ) )
                       != ( host @ SV54 ) ) )
                | ( ( index @ status @ ( host @ SV54 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[476]) ).

thf(527,plain,
    ! [SV108: $i,SV55: $i] :
      ( ( ~ ( ~ ( leq @ SV55 @ ( s @ SV108 ) )
            | ( SV55
              = ( s @ SV108 ) )
            | ( leq @ SV55 @ SV108 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[477]) ).

thf(528,plain,
    ! [SV108: $i,SV55: $i] :
      ( ( ~ ( ~ ( ( SV55
                  = ( s @ SV108 ) )
                | ( leq @ SV55 @ SV108 ) )
            | ( leq @ SV55 @ ( s @ SV108 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[477]) ).

thf(529,plain,
    ! [SV110: $i,SV57: $i] :
      ( ( ( ( host @ SV57 )
         != ( host @ SV110 ) )
        = $false )
      | ( ( SV57 != SV110 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[479]) ).

thf(530,plain,
    ! [SV59: $i,SV112: $i,SV133: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV133 @ alive )
                      | ~ ( elem @ ( m_Ack @ SV133 @ SV112 ) @ ( queue @ ( host @ SV133 ) ) ) )
                | ( ( host @ SV112 )
                 != ( host @ SV59 ) ) ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV59 @ alive )
                      | ( ( index @ ldr @ ( host @ SV59 ) )
                       != ( host @ SV59 ) ) )
                | ( ( index @ status @ ( host @ SV59 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[481]) ).

thf(531,plain,
    ! [SV113: $i,SV60: $i] :
      ( ( ~ ( ~ ( ( SV60 != SV113 ) )
            | ( ( m_Halt @ SV60 )
             != ( m_Halt @ SV113 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[482]) ).

thf(532,plain,
    ! [SV113: $i,SV60: $i] :
      ( ( ~ ( ~ ( ( ( m_Halt @ SV60 )
                 != ( m_Halt @ SV113 ) ) )
            | ( SV60 != SV113 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[482]) ).

thf(533,plain,
    ! [SV114: $i,SV61: $i,SV134: $i] :
      ( ( ( ~ ( elem @ ( m_Ack @ SV134 @ SV61 ) @ ( queue @ ( host @ SV114 ) ) ) )
        = $true )
      | ( ( ~ ( leq @ ( host @ SV61 ) @ ( host @ SV134 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[483]) ).

thf(534,plain,
    ! [SV135: $i,SV62: $i,SV115: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SV115 ) @ SV62 ) )
                      | ( ( host @ SV115 )
                       != ( host @ SV135 ) ) )
                | ~ ( elem @ ( m_Down @ SV135 ) @ SV62 ) ) )
        = $true )
      | ( ( leq @ SV115 @ SV135 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[484]) ).

thf(535,plain,
    ! [SV136: $i,SV116: $i,SV63: $i] :
      ( ( ( m_Ack @ SV63 @ SV116 )
        = ( m_Down @ SV136 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[485]) ).

thf(536,plain,
    ( ( ( ( index @ ldr @ ( host @ sK3_SY149 ) )
       != ( host @ sK4_SY233 ) )
      = $true )
    | ( ( ( index @ status @ ( host @ sK3_SY149 ) )
       != norm )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[486]) ).

thf(537,plain,
    ( ( ( ( index @ status @ ( host @ sK3_SY149 ) )
       != wait )
      = $true )
    | ( ( ( host @ sK4_SY233 )
       != ( host @ ( index @ elid @ ( host @ sK3_SY149 ) ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[487]) ).

thf(538,plain,
    ! [SV118: $i,SV65: $i,SV137: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV137 ) ) @ ( host @ SV65 ) )
                            | ~ ( setIn @ SV137 @ alive ) )
                      | ~ ( elem @ ( m_Halt @ SV137 ) @ ( queue @ ( host @ SV118 ) ) ) )
                | ( ( index @ status @ ( host @ SV137 ) )
                 != elec_2 ) ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV65 @ alive )
                      | ( ( index @ ldr @ ( host @ SV65 ) )
                       != ( host @ SV65 ) ) )
                | ( ( index @ status @ ( host @ SV65 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[489]) ).

thf(539,plain,
    ! [SV119: $i,SV66: $i] :
      ( ( ~ ( ~ ( ( SV66 != SV119 ) )
            | ( ( m_Ldr @ SV66 )
             != ( m_Ldr @ SV119 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[490]) ).

thf(540,plain,
    ! [SV119: $i,SV66: $i] :
      ( ( ~ ( ~ ( ( ( m_Ldr @ SV66 )
                 != ( m_Ldr @ SV119 ) ) )
            | ( SV66 != SV119 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[490]) ).

thf(541,plain,
    ! [SV18: $i,SV74: $i] :
      ( ( ( ~ ( ( SV74 != SV18 ) )
          | ( ( host @ SV74 )
           != ( host @ SV18 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV18 @ alive )
          | ~ ( setIn @ SV74 @ alive ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[491]) ).

thf(542,plain,
    ! [SV75: $i,SV19: $i] :
      ( ( ( leq @ ( host @ SV19 ) @ ( host @ SV75 ) )
        = $false )
      | ( ( elem @ ( m_Halt @ SV75 ) @ ( queue @ ( host @ SV19 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[492]) ).

thf(543,plain,
    ! [SV76: $i,SV121: $i,SV20: $i] :
      ( ( ~ ( ~ ( elem @ SV20 @ ( snoc @ SV121 @ SV76 ) )
            | ( SV20 = SV76 )
            | ( elem @ SV20 @ SV121 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[493]) ).

thf(544,plain,
    ! [SV121: $i,SV76: $i,SV20: $i] :
      ( ( ~ ( ~ ( ( SV20 = SV76 )
                | ( elem @ SV20 @ SV121 ) )
            | ( elem @ SV20 @ ( snoc @ SV121 @ SV76 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[493]) ).

thf(545,plain,
    ! [SV77: $i,SV21: $i] :
      ( ( ( ~ ~ ( ~ ~ ( setIn @ SV21 @ alive )
                | ~ ( leq @ SV77 @ SV21 ) )
          | ( ( host @ SV77 )
           != ( host @ SV21 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV77 @ alive ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[494]) ).

thf(546,plain,
    ! [SV23: $i,SV79: $i] :
      ( ( ( setIn @ SV79 @ alive )
        = $false )
      | ( ( elem @ ( m_Down @ SV79 ) @ ( queue @ ( host @ SV23 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[495]) ).

thf(547,plain,
    ! [SV82: $i,SV26: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                                  | ~ ( setIn @ SV82 @ alive ) )
                            | ( ( index @ ldr @ ( host @ SV26 ) )
                             != ( host @ SV26 ) ) )
                      | ( ( index @ status @ ( host @ SV26 ) )
                       != norm ) )
                | ( ( index @ status @ ( host @ SV82 ) )
                 != norm ) )
          | ( ( index @ ldr @ ( host @ SV82 ) )
           != ( host @ SV82 ) ) )
        = $true )
      | ( ( SV82 = SV26 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[497]) ).

thf(548,plain,
    ! [SV84: $i,SV28: $i] :
      ( ( ~ ( leq @ SV28 @ SV84 )
        | ( leq @ ( s @ SV28 ) @ ( s @ SV84 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[498]) ).

thf(549,plain,
    ! [SV84: $i,SV28: $i] :
      ( ( ~ ( leq @ ( s @ SV28 ) @ ( s @ SV84 ) )
        | ( leq @ SV28 @ SV84 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[499]) ).

thf(550,plain,
    ! [SV29: $i,SV85: $i,SV123: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY413: $i] :
                                ( ~ ~ ( ~ ~ ( leq @ ( host @ SV123 ) @ SY413 )
                                      | ~ ( leq @ ( s @ zero ) @ SY413 ) )
                                | ( setIn @ SY413 @ ( index @ down @ ( host @ SV123 ) ) )
                                | ( SY413
                                  = ( host @ SV85 ) ) )
                          | ~ ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
                    | ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
              | ( ( index @ status @ ( host @ SV123 ) )
               != elec_1 ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[500]) ).

thf(551,plain,
    ! [SV124: $i,SV86: $i,SV30: $i] :
      ( ( ( ordered @ SV30 )
        = $false )
      | ( ( ordered @ ( snoc @ SV30 @ ( m_Ack @ SV86 @ SV124 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[501]) ).

thf(552,plain,
    ! [SV87: $i,SV31: $i] :
      ( ( ( ~ ( setIn @ SV31 @ pids )
          | ~ ( setIn @ SV87 @ pids ) )
        = $false )
      | ( ( elem @ ( m_Ack @ SV31 @ SV87 ) @ ( queue @ ( host @ SV31 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[502]) ).

thf(553,plain,
    ! [SV125: $i,SV88: $i,SV32: $i] :
      ( ( ~ ( ~ ( elem @ SV32 @ ( cons @ SV88 @ SV125 ) )
            | ( SV32 = SV88 )
            | ( elem @ SV32 @ SV125 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[503]) ).

thf(554,plain,
    ! [SV125: $i,SV88: $i,SV32: $i] :
      ( ( ~ ( ~ ( ( SV32 = SV88 )
                | ( elem @ SV32 @ SV125 ) )
            | ( elem @ SV32 @ ( cons @ SV88 @ SV125 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[503]) ).

thf(555,plain,
    ( ( ( host @ sK3_SY149 )
      = ( host @ sK5_SX0 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[505]) ).

thf(556,plain,
    ( ( ( s @ ( host @ sK3_SY149 ) )
     != ( host @ sK6_SY398 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[506]) ).

thf(557,plain,
    ( ( ~ ( ( ( host @ sK3_SY149 )
           != ( host @ sK6_SY398 ) ) )
      | ! [SY416: $i] :
          ( ( ( host @ sK3_SY149 )
           != ( host @ SY416 ) )
          | ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY149 ) ) @ ( host @ sK5_SX0 ) )
                      | ~ ( setIn @ SY416 @ alive ) )
                | ~ ( elem @ ( m_Halt @ SY416 ) @ ( snoc @ ( queue @ ( host @ sK6_SY398 ) ) @ ( m_Halt @ sK3_SY149 ) ) ) )
          | ~ ~ ( ~ ~ ( ~ ( setIn @ sK5_SX0 @ alive )
                      | ( ( index @ ldr @ ( host @ sK5_SX0 ) )
                       != ( host @ sK5_SX0 ) ) )
                | ( ( index @ status @ ( host @ sK5_SX0 ) )
                 != norm ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[506]) ).

thf(558,plain,
    ! [SV127: $i,SV91: $i,SV35: $i] :
      ( ( ( ~ ( ~ ( leq @ SV35 @ SV91 )
              | ~ ( leq @ SV91 @ SV127 ) ) )
        = $false )
      | ( ( leq @ SV35 @ SV127 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[508]) ).

thf(559,plain,
    ! [SV92: $i,SV36: $i,SV138: $i,SV128: $i] :
      ( ( ( ~ ( ( SV128 != SV138 ) ) )
        = $true )
      | ( ( ( m_Ack @ SV36 @ SV128 )
         != ( m_Ack @ SV92 @ SV138 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[509]) ).

thf(560,plain,
    ! [SV39: $i,SV95: $i] :
      ( ( ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV39 ) )
                | ~ ( setIn @ SV95 @ alive ) )
          | ( ( index @ status @ ( host @ SV95 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV39 @ alive )
                      | ( ( index @ ldr @ ( host @ SV39 ) )
                       != ( host @ SV39 ) ) )
                | ( ( index @ status @ ( host @ SV39 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[510]) ).

thf(561,plain,
    ! [SV96: $i,SV40: $i] :
      ( ( ( leq @ ( host @ SV40 ) @ ( host @ SV96 ) )
        = $false )
      | ( ( elem @ ( m_Ldr @ SV96 ) @ ( queue @ ( host @ SV40 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[511]) ).

thf(562,plain,
    ! [SV139: $i,SV129: $i,SV98: $i,SV42: $i] :
      ( ( ( ~ ( ( SV42 != SV98 ) ) )
        = $true )
      | ( ( ( m_Ack @ SV42 @ SV129 )
         != ( m_Ack @ SV98 @ SV139 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[512]) ).

thf(563,plain,
    ! [SV99: $i,SV43: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV43 ) @ ( host @ SV99 ) )
                            | ~ ( setIn @ SV43 @ alive ) )
                      | ~ ( setIn @ SV99 @ alive ) )
                | ( ( index @ status @ ( host @ SV43 ) )
                 != elec_2 ) )
          | ( ( index @ status @ ( host @ SV99 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV43 ) ) @ ( index @ pendack @ ( host @ SV99 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[513]) ).

thf(564,plain,
    ! [SV44: $i] :
      ( ( ( ~ ~ ( leq @ ( host @ sK3_SY149 ) @ SV44 ) )
        = $true )
      | ( ( ~ ( leq @ ( s @ zero ) @ SV44 ) )
        = $true )
      | ( ( ( setIn @ SV44 @ ( index @ down @ ( host @ sK3_SY149 ) ) )
          | ( SV44
            = ( host @ sK4_SY233 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[514]) ).

thf(565,plain,
    ! [SV102: $i,SV47: $i] :
      ( ( ~ ( ( SV47 != SV102 ) )
        | ( ( m_Down @ SV47 )
         != ( m_Down @ SV102 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[517]) ).

thf(566,plain,
    ! [SV102: $i,SV47: $i] :
      ( ( ~ ( ( ( m_Down @ SV47 )
             != ( m_Down @ SV102 ) ) )
        | ( SV47 != SV102 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[518]) ).

thf(567,plain,
    ! [SV103: $i,SV48: $i] :
      ( ( ( ( host @ SV48 )
          = ( host @ SV103 ) )
        = $false )
      | ( ( ( s @ ( host @ SV48 ) )
          = ( host @ SV103 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[519]) ).

thf(568,plain,
    ! [SV104: $i,SV49: $i] :
      ( ( ~ ~ ( ~ ( leq @ SV49 @ SV104 )
              | ~ ( leq @ SV104 @ SV49 ) )
        | ( SV49 = SV104 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[520]) ).

thf(569,plain,
    ! [SV104: $i,SV49: $i] :
      ( ( ( SV49 != SV104 )
        | ~ ( ~ ( leq @ SV49 @ SV104 )
            | ~ ( leq @ SV104 @ SV49 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[521]) ).

thf(570,plain,
    ! [SV50: $i] :
      ( ( ( ~ ( pidElem @ SV50 ) )
        = $true )
      | ( ( ~ ! [SY367: $i] :
                ~ ( ( SV50
                    = ( m_Halt @ SY367 ) )
                  | ( SV50
                    = ( m_Down @ SY367 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[522]) ).

thf(571,plain,
    ! [SV50: $i] :
      ( ( ( ~ ~ ! [SY368: $i] :
                  ~ ( ( SV50
                      = ( m_Halt @ SY368 ) )
                    | ( SV50
                      = ( m_Down @ SY368 ) ) ) )
        = $true )
      | ( ( pidElem @ SV50 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[523]) ).

thf(572,plain,
    ! [SV105: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV51 ) @ ( host @ SV105 ) )
                            | ~ ( setIn @ SV51 @ alive ) )
                      | ~ ( setIn @ SV105 @ alive ) )
                | ( ( index @ status @ ( host @ SV51 ) )
                 != elec_2 ) )
          | ( ( index @ status @ ( host @ SV105 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV105 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[524]) ).

thf(573,plain,
    ! [SV52: $i] :
      ( ( ( ~ ( ( ( index @ status @ ( host @ SV52 ) )
                = elec_1 )
              | ( ( index @ status @ ( host @ SV52 ) )
                = elec_2 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV52 @ alive ) )
        = $true )
      | ( ( ( index @ elid @ ( host @ SV52 ) )
          = SV52 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[525]) ).

thf(574,plain,
    ! [SV54: $i,SV107: $i,SV132: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( setIn @ SV132 @ alive )
                    | ~ ( elem @ ( m_Down @ SV107 ) @ ( queue @ ( host @ SV132 ) ) ) )
              | ( ( host @ SV107 )
               != ( host @ SV54 ) ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV54 @ alive )
                      | ( ( index @ ldr @ ( host @ SV54 ) )
                       != ( host @ SV54 ) ) )
                | ( ( index @ status @ ( host @ SV54 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[526]) ).

thf(575,plain,
    ! [SV108: $i,SV55: $i] :
      ( ( ~ ( leq @ SV55 @ ( s @ SV108 ) )
        | ( SV55
          = ( s @ SV108 ) )
        | ( leq @ SV55 @ SV108 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[527]) ).

thf(576,plain,
    ! [SV108: $i,SV55: $i] :
      ( ( ~ ( ( SV55
              = ( s @ SV108 ) )
            | ( leq @ SV55 @ SV108 ) )
        | ( leq @ SV55 @ ( s @ SV108 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[528]) ).

thf(577,plain,
    ! [SV110: $i,SV57: $i] :
      ( ( ( ( host @ SV57 )
          = ( host @ SV110 ) )
        = $true )
      | ( ( SV57 != SV110 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[529]) ).

thf(578,plain,
    ! [SV59: $i,SV112: $i,SV133: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( setIn @ SV133 @ alive )
                    | ~ ( elem @ ( m_Ack @ SV133 @ SV112 ) @ ( queue @ ( host @ SV133 ) ) ) )
              | ( ( host @ SV112 )
               != ( host @ SV59 ) ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV59 @ alive )
                      | ( ( index @ ldr @ ( host @ SV59 ) )
                       != ( host @ SV59 ) ) )
                | ( ( index @ status @ ( host @ SV59 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[530]) ).

thf(579,plain,
    ! [SV113: $i,SV60: $i] :
      ( ( ~ ( ( SV60 != SV113 ) )
        | ( ( m_Halt @ SV60 )
         != ( m_Halt @ SV113 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[531]) ).

thf(580,plain,
    ! [SV113: $i,SV60: $i] :
      ( ( ~ ( ( ( m_Halt @ SV60 )
             != ( m_Halt @ SV113 ) ) )
        | ( SV60 != SV113 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[532]) ).

thf(581,plain,
    ! [SV114: $i,SV61: $i,SV134: $i] :
      ( ( ( elem @ ( m_Ack @ SV134 @ SV61 ) @ ( queue @ ( host @ SV114 ) ) )
        = $false )
      | ( ( ~ ( leq @ ( host @ SV61 ) @ ( host @ SV134 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[533]) ).

thf(582,plain,
    ! [SV135: $i,SV62: $i,SV115: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SV115 ) @ SV62 ) )
                    | ( ( host @ SV115 )
                     != ( host @ SV135 ) ) )
              | ~ ( elem @ ( m_Down @ SV135 ) @ SV62 ) ) )
        = $false )
      | ( ( leq @ SV115 @ SV135 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[534]) ).

thf(583,plain,
    ( ( ( ( index @ ldr @ ( host @ sK3_SY149 ) )
        = ( host @ sK4_SY233 ) )
      = $false )
    | ( ( ( index @ status @ ( host @ sK3_SY149 ) )
       != norm )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[536]) ).

thf(584,plain,
    ( ( ( ( index @ status @ ( host @ sK3_SY149 ) )
        = wait )
      = $false )
    | ( ( ( host @ sK4_SY233 )
       != ( host @ ( index @ elid @ ( host @ sK3_SY149 ) ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[537]) ).

thf(585,plain,
    ! [SV118: $i,SV65: $i,SV137: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV137 ) ) @ ( host @ SV65 ) )
                          | ~ ( setIn @ SV137 @ alive ) )
                    | ~ ( elem @ ( m_Halt @ SV137 ) @ ( queue @ ( host @ SV118 ) ) ) )
              | ( ( index @ status @ ( host @ SV137 ) )
               != elec_2 ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV65 @ alive )
                      | ( ( index @ ldr @ ( host @ SV65 ) )
                       != ( host @ SV65 ) ) )
                | ( ( index @ status @ ( host @ SV65 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[538]) ).

thf(586,plain,
    ! [SV119: $i,SV66: $i] :
      ( ( ~ ( ( SV66 != SV119 ) )
        | ( ( m_Ldr @ SV66 )
         != ( m_Ldr @ SV119 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[539]) ).

thf(587,plain,
    ! [SV119: $i,SV66: $i] :
      ( ( ~ ( ( ( m_Ldr @ SV66 )
             != ( m_Ldr @ SV119 ) ) )
        | ( SV66 != SV119 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[540]) ).

thf(588,plain,
    ! [SV18: $i,SV74: $i] :
      ( ( ( ~ ( ( SV74 != SV18 ) ) )
        = $true )
      | ( ( ( host @ SV74 )
         != ( host @ SV18 ) )
        = $true )
      | ( ( ~ ( setIn @ SV18 @ alive )
          | ~ ( setIn @ SV74 @ alive ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[541]) ).

thf(589,plain,
    ! [SV76: $i,SV121: $i,SV20: $i] :
      ( ( ~ ( elem @ SV20 @ ( snoc @ SV121 @ SV76 ) )
        | ( SV20 = SV76 )
        | ( elem @ SV20 @ SV121 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[543]) ).

thf(590,plain,
    ! [SV121: $i,SV76: $i,SV20: $i] :
      ( ( ~ ( ( SV20 = SV76 )
            | ( elem @ SV20 @ SV121 ) )
        | ( elem @ SV20 @ ( snoc @ SV121 @ SV76 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[544]) ).

thf(591,plain,
    ! [SV77: $i,SV21: $i] :
      ( ( ( ~ ~ ( ~ ~ ( setIn @ SV21 @ alive )
                | ~ ( leq @ SV77 @ SV21 ) ) )
        = $true )
      | ( ( ( host @ SV77 )
         != ( host @ SV21 ) )
        = $true )
      | ( ( ~ ( setIn @ SV77 @ alive ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[545]) ).

thf(592,plain,
    ! [SV82: $i,SV26: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                                  | ~ ( setIn @ SV82 @ alive ) )
                            | ( ( index @ ldr @ ( host @ SV26 ) )
                             != ( host @ SV26 ) ) )
                      | ( ( index @ status @ ( host @ SV26 ) )
                       != norm ) )
                | ( ( index @ status @ ( host @ SV82 ) )
                 != norm ) ) )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV82 ) )
         != ( host @ SV82 ) )
        = $true )
      | ( ( SV82 = SV26 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[547]) ).

thf(593,plain,
    ! [SV84: $i,SV28: $i] :
      ( ( ( ~ ( leq @ SV28 @ SV84 ) )
        = $true )
      | ( ( leq @ ( s @ SV28 ) @ ( s @ SV84 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[548]) ).

thf(594,plain,
    ! [SV84: $i,SV28: $i] :
      ( ( ( ~ ( leq @ ( s @ SV28 ) @ ( s @ SV84 ) ) )
        = $true )
      | ( ( leq @ SV28 @ SV84 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[549]) ).

thf(595,plain,
    ! [SV29: $i,SV85: $i,SV123: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ! [SY413: $i] :
                            ( ~ ~ ( ~ ~ ( leq @ ( host @ SV123 ) @ SY413 )
                                  | ~ ( leq @ ( s @ zero ) @ SY413 ) )
                            | ( setIn @ SY413 @ ( index @ down @ ( host @ SV123 ) ) )
                            | ( SY413
                              = ( host @ SV85 ) ) )
                      | ~ ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
                | ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
          | ( ( index @ status @ ( host @ SV123 ) )
           != elec_1 ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[550]) ).

thf(596,plain,
    ! [SV87: $i,SV31: $i] :
      ( ( ( ~ ( setIn @ SV31 @ pids ) )
        = $false )
      | ( ( elem @ ( m_Ack @ SV31 @ SV87 ) @ ( queue @ ( host @ SV31 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[552]) ).

thf(597,plain,
    ! [SV31: $i,SV87: $i] :
      ( ( ( ~ ( setIn @ SV87 @ pids ) )
        = $false )
      | ( ( elem @ ( m_Ack @ SV31 @ SV87 ) @ ( queue @ ( host @ SV31 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[552]) ).

thf(598,plain,
    ! [SV125: $i,SV88: $i,SV32: $i] :
      ( ( ~ ( elem @ SV32 @ ( cons @ SV88 @ SV125 ) )
        | ( SV32 = SV88 )
        | ( elem @ SV32 @ SV125 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[553]) ).

thf(599,plain,
    ! [SV125: $i,SV88: $i,SV32: $i] :
      ( ( ~ ( ( SV32 = SV88 )
            | ( elem @ SV32 @ SV125 ) )
        | ( elem @ SV32 @ ( cons @ SV88 @ SV125 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[554]) ).

thf(600,plain,
    ( ( ( s @ ( host @ sK3_SY149 ) )
      = ( host @ sK6_SY398 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[556]) ).

thf(601,plain,
    ( ( ~ ( ( ( host @ sK3_SY149 )
           != ( host @ sK6_SY398 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[557]) ).

thf(602,plain,
    ( ( ! [SY416: $i] :
          ( ( ( host @ sK3_SY149 )
           != ( host @ SY416 ) )
          | ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY149 ) ) @ ( host @ sK5_SX0 ) )
                      | ~ ( setIn @ SY416 @ alive ) )
                | ~ ( elem @ ( m_Halt @ SY416 ) @ ( snoc @ ( queue @ ( host @ sK6_SY398 ) ) @ ( m_Halt @ sK3_SY149 ) ) ) )
          | ~ ~ ( ~ ~ ( ~ ( setIn @ sK5_SX0 @ alive )
                      | ( ( index @ ldr @ ( host @ sK5_SX0 ) )
                       != ( host @ sK5_SX0 ) ) )
                | ( ( index @ status @ ( host @ sK5_SX0 ) )
                 != norm ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[557]) ).

thf(603,plain,
    ! [SV127: $i,SV91: $i,SV35: $i] :
      ( ( ( ~ ( leq @ SV35 @ SV91 )
          | ~ ( leq @ SV91 @ SV127 ) )
        = $true )
      | ( ( leq @ SV35 @ SV127 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[558]) ).

thf(604,plain,
    ! [SV92: $i,SV36: $i,SV138: $i,SV128: $i] :
      ( ( ( SV128 != SV138 )
        = $false )
      | ( ( ( m_Ack @ SV36 @ SV128 )
         != ( m_Ack @ SV92 @ SV138 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[559]) ).

thf(605,plain,
    ! [SV39: $i,SV95: $i] :
      ( ( ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV39 ) )
                | ~ ( setIn @ SV95 @ alive ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV39 @ alive )
                      | ( ( index @ ldr @ ( host @ SV39 ) )
                       != ( host @ SV39 ) ) )
                | ( ( index @ status @ ( host @ SV39 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[560]) ).

thf(606,plain,
    ! [SV139: $i,SV129: $i,SV98: $i,SV42: $i] :
      ( ( ( SV42 != SV98 )
        = $false )
      | ( ( ( m_Ack @ SV42 @ SV129 )
         != ( m_Ack @ SV98 @ SV139 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[562]) ).

thf(607,plain,
    ! [SV99: $i,SV43: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV43 ) @ ( host @ SV99 ) )
                            | ~ ( setIn @ SV43 @ alive ) )
                      | ~ ( setIn @ SV99 @ alive ) )
                | ( ( index @ status @ ( host @ SV43 ) )
                 != elec_2 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV99 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV43 ) ) @ ( index @ pendack @ ( host @ SV99 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[563]) ).

thf(608,plain,
    ! [SV44: $i] :
      ( ( ( ~ ( leq @ ( host @ sK3_SY149 ) @ SV44 ) )
        = $false )
      | ( ( ~ ( leq @ ( s @ zero ) @ SV44 ) )
        = $true )
      | ( ( ( setIn @ SV44 @ ( index @ down @ ( host @ sK3_SY149 ) ) )
          | ( SV44
            = ( host @ sK4_SY233 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[564]) ).

thf(609,plain,
    ! [SV102: $i,SV47: $i] :
      ( ( ( ~ ( ( SV47 != SV102 ) ) )
        = $true )
      | ( ( ( m_Down @ SV47 )
         != ( m_Down @ SV102 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[565]) ).

thf(610,plain,
    ! [SV102: $i,SV47: $i] :
      ( ( ( ~ ( ( ( m_Down @ SV47 )
               != ( m_Down @ SV102 ) ) ) )
        = $true )
      | ( ( SV47 != SV102 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[566]) ).

thf(611,plain,
    ! [SV104: $i,SV49: $i] :
      ( ( ( ~ ~ ( ~ ( leq @ SV49 @ SV104 )
                | ~ ( leq @ SV104 @ SV49 ) ) )
        = $true )
      | ( ( SV49 = SV104 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[568]) ).

thf(612,plain,
    ! [SV104: $i,SV49: $i] :
      ( ( ( SV49 != SV104 )
        = $true )
      | ( ( ~ ( ~ ( leq @ SV49 @ SV104 )
              | ~ ( leq @ SV104 @ SV49 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[569]) ).

thf(613,plain,
    ! [SV50: $i] :
      ( ( ( pidElem @ SV50 )
        = $false )
      | ( ( ~ ! [SY367: $i] :
                ~ ( ( SV50
                    = ( m_Halt @ SY367 ) )
                  | ( SV50
                    = ( m_Down @ SY367 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[570]) ).

thf(614,plain,
    ! [SV50: $i] :
      ( ( ( ~ ! [SY368: $i] :
                ~ ( ( SV50
                    = ( m_Halt @ SY368 ) )
                  | ( SV50
                    = ( m_Down @ SY368 ) ) ) )
        = $false )
      | ( ( pidElem @ SV50 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[571]) ).

thf(615,plain,
    ! [SV105: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV51 ) @ ( host @ SV105 ) )
                            | ~ ( setIn @ SV51 @ alive ) )
                      | ~ ( setIn @ SV105 @ alive ) )
                | ( ( index @ status @ ( host @ SV51 ) )
                 != elec_2 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV105 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[572]) ).

thf(616,plain,
    ! [SV52: $i] :
      ( ( ( ( ( index @ status @ ( host @ SV52 ) )
            = elec_1 )
          | ( ( index @ status @ ( host @ SV52 ) )
            = elec_2 ) )
        = $false )
      | ( ( ~ ( setIn @ SV52 @ alive ) )
        = $true )
      | ( ( ( index @ elid @ ( host @ SV52 ) )
          = SV52 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[573]) ).

thf(617,plain,
    ! [SV54: $i,SV107: $i,SV132: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV132 @ alive )
                | ~ ( elem @ ( m_Down @ SV107 ) @ ( queue @ ( host @ SV132 ) ) ) )
          | ( ( host @ SV107 )
           != ( host @ SV54 ) ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV54 @ alive )
                      | ( ( index @ ldr @ ( host @ SV54 ) )
                       != ( host @ SV54 ) ) )
                | ( ( index @ status @ ( host @ SV54 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[574]) ).

thf(618,plain,
    ! [SV108: $i,SV55: $i] :
      ( ( ( ~ ( leq @ SV55 @ ( s @ SV108 ) ) )
        = $true )
      | ( ( ( SV55
            = ( s @ SV108 ) )
          | ( leq @ SV55 @ SV108 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[575]) ).

thf(619,plain,
    ! [SV108: $i,SV55: $i] :
      ( ( ( ~ ( ( SV55
                = ( s @ SV108 ) )
              | ( leq @ SV55 @ SV108 ) ) )
        = $true )
      | ( ( leq @ SV55 @ ( s @ SV108 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[576]) ).

thf(620,plain,
    ! [SV110: $i,SV57: $i] :
      ( ( ( SV57 = SV110 )
        = $false )
      | ( ( ( host @ SV57 )
          = ( host @ SV110 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[577]) ).

thf(621,plain,
    ! [SV59: $i,SV112: $i,SV133: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV133 @ alive )
                | ~ ( elem @ ( m_Ack @ SV133 @ SV112 ) @ ( queue @ ( host @ SV133 ) ) ) )
          | ( ( host @ SV112 )
           != ( host @ SV59 ) ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV59 @ alive )
                      | ( ( index @ ldr @ ( host @ SV59 ) )
                       != ( host @ SV59 ) ) )
                | ( ( index @ status @ ( host @ SV59 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[578]) ).

thf(622,plain,
    ! [SV113: $i,SV60: $i] :
      ( ( ( ~ ( ( SV60 != SV113 ) ) )
        = $true )
      | ( ( ( m_Halt @ SV60 )
         != ( m_Halt @ SV113 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[579]) ).

thf(623,plain,
    ! [SV113: $i,SV60: $i] :
      ( ( ( ~ ( ( ( m_Halt @ SV60 )
               != ( m_Halt @ SV113 ) ) ) )
        = $true )
      | ( ( SV60 != SV113 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[580]) ).

thf(624,plain,
    ! [SV114: $i,SV134: $i,SV61: $i] :
      ( ( ( leq @ ( host @ SV61 ) @ ( host @ SV134 ) )
        = $false )
      | ( ( elem @ ( m_Ack @ SV134 @ SV61 ) @ ( queue @ ( host @ SV114 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[581]) ).

thf(625,plain,
    ! [SV135: $i,SV62: $i,SV115: $i] :
      ( ( ( ~ ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SV115 ) @ SV62 ) )
                | ( ( host @ SV115 )
                 != ( host @ SV135 ) ) )
          | ~ ( elem @ ( m_Down @ SV135 ) @ SV62 ) )
        = $true )
      | ( ( leq @ SV115 @ SV135 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[582]) ).

thf(626,plain,
    ( ( ( ( index @ status @ ( host @ sK3_SY149 ) )
        = norm )
      = $false )
    | ( ( ( index @ ldr @ ( host @ sK3_SY149 ) )
        = ( host @ sK4_SY233 ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[583]) ).

thf(627,plain,
    ( ( ( ( host @ sK4_SY233 )
        = ( host @ ( index @ elid @ ( host @ sK3_SY149 ) ) ) )
      = $false )
    | ( ( ( index @ status @ ( host @ sK3_SY149 ) )
        = wait )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[584]) ).

thf(628,plain,
    ! [SV118: $i,SV65: $i,SV137: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV137 ) ) @ ( host @ SV65 ) )
                      | ~ ( setIn @ SV137 @ alive ) )
                | ~ ( elem @ ( m_Halt @ SV137 ) @ ( queue @ ( host @ SV118 ) ) ) )
          | ( ( index @ status @ ( host @ SV137 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV65 @ alive )
                      | ( ( index @ ldr @ ( host @ SV65 ) )
                       != ( host @ SV65 ) ) )
                | ( ( index @ status @ ( host @ SV65 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[585]) ).

thf(629,plain,
    ! [SV119: $i,SV66: $i] :
      ( ( ( ~ ( ( SV66 != SV119 ) ) )
        = $true )
      | ( ( ( m_Ldr @ SV66 )
         != ( m_Ldr @ SV119 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[586]) ).

thf(630,plain,
    ! [SV119: $i,SV66: $i] :
      ( ( ( ~ ( ( ( m_Ldr @ SV66 )
               != ( m_Ldr @ SV119 ) ) ) )
        = $true )
      | ( ( SV66 != SV119 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[587]) ).

thf(631,plain,
    ! [SV18: $i,SV74: $i] :
      ( ( ( SV74 != SV18 )
        = $false )
      | ( ( ( host @ SV74 )
         != ( host @ SV18 ) )
        = $true )
      | ( ( ~ ( setIn @ SV18 @ alive )
          | ~ ( setIn @ SV74 @ alive ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[588]) ).

thf(632,plain,
    ! [SV76: $i,SV121: $i,SV20: $i] :
      ( ( ( ~ ( elem @ SV20 @ ( snoc @ SV121 @ SV76 ) ) )
        = $true )
      | ( ( ( SV20 = SV76 )
          | ( elem @ SV20 @ SV121 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[589]) ).

thf(633,plain,
    ! [SV121: $i,SV76: $i,SV20: $i] :
      ( ( ( ~ ( ( SV20 = SV76 )
              | ( elem @ SV20 @ SV121 ) ) )
        = $true )
      | ( ( elem @ SV20 @ ( snoc @ SV121 @ SV76 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[590]) ).

thf(634,plain,
    ! [SV77: $i,SV21: $i] :
      ( ( ( ~ ( ~ ~ ( setIn @ SV21 @ alive )
              | ~ ( leq @ SV77 @ SV21 ) ) )
        = $false )
      | ( ( ( host @ SV77 )
         != ( host @ SV21 ) )
        = $true )
      | ( ( ~ ( setIn @ SV77 @ alive ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[591]) ).

thf(635,plain,
    ! [SV82: $i,SV26: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                                | ~ ( setIn @ SV82 @ alive ) )
                          | ( ( index @ ldr @ ( host @ SV26 ) )
                           != ( host @ SV26 ) ) )
                    | ( ( index @ status @ ( host @ SV26 ) )
                     != norm ) )
              | ( ( index @ status @ ( host @ SV82 ) )
               != norm ) ) )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV82 ) )
         != ( host @ SV82 ) )
        = $true )
      | ( ( SV82 = SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[592]) ).

thf(636,plain,
    ! [SV84: $i,SV28: $i] :
      ( ( ( leq @ SV28 @ SV84 )
        = $false )
      | ( ( leq @ ( s @ SV28 ) @ ( s @ SV84 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[593]) ).

thf(637,plain,
    ! [SV84: $i,SV28: $i] :
      ( ( ( leq @ ( s @ SV28 ) @ ( s @ SV84 ) )
        = $false )
      | ( ( leq @ SV28 @ SV84 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[594]) ).

thf(638,plain,
    ! [SV29: $i,SV85: $i,SV123: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ! [SY413: $i] :
                            ( ~ ~ ( ~ ~ ( leq @ ( host @ SV123 ) @ SY413 )
                                  | ~ ( leq @ ( s @ zero ) @ SY413 ) )
                            | ( setIn @ SY413 @ ( index @ down @ ( host @ SV123 ) ) )
                            | ( SY413
                              = ( host @ SV85 ) ) )
                      | ~ ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
                | ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[595]) ).

thf(639,plain,
    ! [SV87: $i,SV31: $i] :
      ( ( ( setIn @ SV31 @ pids )
        = $true )
      | ( ( elem @ ( m_Ack @ SV31 @ SV87 ) @ ( queue @ ( host @ SV31 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[596]) ).

thf(640,plain,
    ! [SV31: $i,SV87: $i] :
      ( ( ( setIn @ SV87 @ pids )
        = $true )
      | ( ( elem @ ( m_Ack @ SV31 @ SV87 ) @ ( queue @ ( host @ SV31 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[597]) ).

thf(641,plain,
    ! [SV125: $i,SV88: $i,SV32: $i] :
      ( ( ( ~ ( elem @ SV32 @ ( cons @ SV88 @ SV125 ) ) )
        = $true )
      | ( ( ( SV32 = SV88 )
          | ( elem @ SV32 @ SV125 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[598]) ).

thf(642,plain,
    ! [SV125: $i,SV88: $i,SV32: $i] :
      ( ( ( ~ ( ( SV32 = SV88 )
              | ( elem @ SV32 @ SV125 ) ) )
        = $true )
      | ( ( elem @ SV32 @ ( cons @ SV88 @ SV125 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[599]) ).

thf(643,plain,
    ( ( ( host @ sK3_SY149 )
     != ( host @ sK6_SY398 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[601]) ).

thf(644,plain,
    ( ( ( ( host @ sK3_SY149 )
       != ( host @ sK7_SY416 ) )
      | ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY149 ) ) @ ( host @ sK5_SX0 ) )
                  | ~ ( setIn @ sK7_SY416 @ alive ) )
            | ~ ( elem @ ( m_Halt @ sK7_SY416 ) @ ( snoc @ ( queue @ ( host @ sK6_SY398 ) ) @ ( m_Halt @ sK3_SY149 ) ) ) )
      | ~ ~ ( ~ ~ ( ~ ( setIn @ sK5_SX0 @ alive )
                  | ( ( index @ ldr @ ( host @ sK5_SX0 ) )
                   != ( host @ sK5_SX0 ) ) )
            | ( ( index @ status @ ( host @ sK5_SX0 ) )
             != norm ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[602]) ).

thf(645,plain,
    ! [SV127: $i,SV91: $i,SV35: $i] :
      ( ( ( ~ ( leq @ SV35 @ SV91 ) )
        = $true )
      | ( ( ~ ( leq @ SV91 @ SV127 ) )
        = $true )
      | ( ( leq @ SV35 @ SV127 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[603]) ).

thf(646,plain,
    ! [SV92: $i,SV36: $i,SV138: $i,SV128: $i] :
      ( ( ( SV128 = SV138 )
        = $true )
      | ( ( ( m_Ack @ SV36 @ SV128 )
         != ( m_Ack @ SV92 @ SV138 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[604]) ).

thf(647,plain,
    ! [SV39: $i,SV95: $i] :
      ( ( ( ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV39 ) )
              | ~ ( setIn @ SV95 @ alive ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV95 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV39 @ alive )
                      | ( ( index @ ldr @ ( host @ SV39 ) )
                       != ( host @ SV39 ) ) )
                | ( ( index @ status @ ( host @ SV39 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[605]) ).

thf(648,plain,
    ! [SV139: $i,SV129: $i,SV98: $i,SV42: $i] :
      ( ( ( SV42 = SV98 )
        = $true )
      | ( ( ( m_Ack @ SV42 @ SV129 )
         != ( m_Ack @ SV98 @ SV139 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[606]) ).

thf(649,plain,
    ! [SV99: $i,SV43: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV43 ) @ ( host @ SV99 ) )
                          | ~ ( setIn @ SV43 @ alive ) )
                    | ~ ( setIn @ SV99 @ alive ) )
              | ( ( index @ status @ ( host @ SV43 ) )
               != elec_2 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV99 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV43 ) ) @ ( index @ pendack @ ( host @ SV99 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[607]) ).

thf(650,plain,
    ! [SV44: $i] :
      ( ( ( leq @ ( host @ sK3_SY149 ) @ SV44 )
        = $true )
      | ( ( ~ ( leq @ ( s @ zero ) @ SV44 ) )
        = $true )
      | ( ( ( setIn @ SV44 @ ( index @ down @ ( host @ sK3_SY149 ) ) )
          | ( SV44
            = ( host @ sK4_SY233 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[608]) ).

thf(651,plain,
    ! [SV102: $i,SV47: $i] :
      ( ( ( SV47 != SV102 )
        = $false )
      | ( ( ( m_Down @ SV47 )
         != ( m_Down @ SV102 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[609]) ).

thf(652,plain,
    ! [SV102: $i,SV47: $i] :
      ( ( ( ( m_Down @ SV47 )
         != ( m_Down @ SV102 ) )
        = $false )
      | ( ( SV47 != SV102 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[610]) ).

thf(653,plain,
    ! [SV104: $i,SV49: $i] :
      ( ( ( ~ ( ~ ( leq @ SV49 @ SV104 )
              | ~ ( leq @ SV104 @ SV49 ) ) )
        = $false )
      | ( ( SV49 = SV104 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[611]) ).

thf(654,plain,
    ! [SV104: $i,SV49: $i] :
      ( ( ( SV49 = SV104 )
        = $false )
      | ( ( ~ ( ~ ( leq @ SV49 @ SV104 )
              | ~ ( leq @ SV104 @ SV49 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[612]) ).

thf(655,plain,
    ! [SV50: $i] :
      ( ( ( ! [SY367: $i] :
              ~ ( ( SV50
                  = ( m_Halt @ SY367 ) )
                | ( SV50
                  = ( m_Down @ SY367 ) ) ) )
        = $false )
      | ( ( pidElem @ SV50 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[613]) ).

thf(656,plain,
    ! [SV50: $i] :
      ( ( ( ! [SY368: $i] :
              ~ ( ( SV50
                  = ( m_Halt @ SY368 ) )
                | ( SV50
                  = ( m_Down @ SY368 ) ) ) )
        = $true )
      | ( ( pidElem @ SV50 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[614]) ).

thf(657,plain,
    ! [SV105: $i,SV51: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV51 ) @ ( host @ SV105 ) )
                          | ~ ( setIn @ SV51 @ alive ) )
                    | ~ ( setIn @ SV105 @ alive ) )
              | ( ( index @ status @ ( host @ SV51 ) )
               != elec_2 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV105 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[615]) ).

thf(658,plain,
    ! [SV52: $i] :
      ( ( ( ( index @ status @ ( host @ SV52 ) )
          = elec_1 )
        = $false )
      | ( ( ~ ( setIn @ SV52 @ alive ) )
        = $true )
      | ( ( ( index @ elid @ ( host @ SV52 ) )
          = SV52 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[616]) ).

thf(659,plain,
    ! [SV52: $i] :
      ( ( ( ( index @ status @ ( host @ SV52 ) )
          = elec_2 )
        = $false )
      | ( ( ~ ( setIn @ SV52 @ alive ) )
        = $true )
      | ( ( ( index @ elid @ ( host @ SV52 ) )
          = SV52 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[616]) ).

thf(660,plain,
    ! [SV54: $i,SV107: $i,SV132: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV132 @ alive )
                | ~ ( elem @ ( m_Down @ SV107 ) @ ( queue @ ( host @ SV132 ) ) ) ) )
        = $true )
      | ( ( ( host @ SV107 )
         != ( host @ SV54 ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV54 @ alive )
                      | ( ( index @ ldr @ ( host @ SV54 ) )
                       != ( host @ SV54 ) ) )
                | ( ( index @ status @ ( host @ SV54 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[617]) ).

thf(661,plain,
    ! [SV108: $i,SV55: $i] :
      ( ( ( leq @ SV55 @ ( s @ SV108 ) )
        = $false )
      | ( ( ( SV55
            = ( s @ SV108 ) )
          | ( leq @ SV55 @ SV108 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[618]) ).

thf(662,plain,
    ! [SV108: $i,SV55: $i] :
      ( ( ( ( SV55
            = ( s @ SV108 ) )
          | ( leq @ SV55 @ SV108 ) )
        = $false )
      | ( ( leq @ SV55 @ ( s @ SV108 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[619]) ).

thf(663,plain,
    ! [SV59: $i,SV112: $i,SV133: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV133 @ alive )
                | ~ ( elem @ ( m_Ack @ SV133 @ SV112 ) @ ( queue @ ( host @ SV133 ) ) ) ) )
        = $true )
      | ( ( ( host @ SV112 )
         != ( host @ SV59 ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV59 @ alive )
                      | ( ( index @ ldr @ ( host @ SV59 ) )
                       != ( host @ SV59 ) ) )
                | ( ( index @ status @ ( host @ SV59 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[621]) ).

thf(664,plain,
    ! [SV113: $i,SV60: $i] :
      ( ( ( SV60 != SV113 )
        = $false )
      | ( ( ( m_Halt @ SV60 )
         != ( m_Halt @ SV113 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[622]) ).

thf(665,plain,
    ! [SV113: $i,SV60: $i] :
      ( ( ( ( m_Halt @ SV60 )
         != ( m_Halt @ SV113 ) )
        = $false )
      | ( ( SV60 != SV113 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[623]) ).

thf(666,plain,
    ! [SV135: $i,SV62: $i,SV115: $i] :
      ( ( ( ~ ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SV115 ) @ SV62 ) )
                | ( ( host @ SV115 )
                 != ( host @ SV135 ) ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV135 ) @ SV62 ) )
        = $true )
      | ( ( leq @ SV115 @ SV135 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[625]) ).

thf(667,plain,
    ! [SV118: $i,SV65: $i,SV137: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV137 ) ) @ ( host @ SV65 ) )
                      | ~ ( setIn @ SV137 @ alive ) )
                | ~ ( elem @ ( m_Halt @ SV137 ) @ ( queue @ ( host @ SV118 ) ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV137 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV65 @ alive )
                      | ( ( index @ ldr @ ( host @ SV65 ) )
                       != ( host @ SV65 ) ) )
                | ( ( index @ status @ ( host @ SV65 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[628]) ).

thf(668,plain,
    ! [SV119: $i,SV66: $i] :
      ( ( ( SV66 != SV119 )
        = $false )
      | ( ( ( m_Ldr @ SV66 )
         != ( m_Ldr @ SV119 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[629]) ).

thf(669,plain,
    ! [SV119: $i,SV66: $i] :
      ( ( ( ( m_Ldr @ SV66 )
         != ( m_Ldr @ SV119 ) )
        = $false )
      | ( ( SV66 != SV119 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[630]) ).

thf(670,plain,
    ! [SV18: $i,SV74: $i] :
      ( ( ( SV74 = SV18 )
        = $true )
      | ( ( ( host @ SV74 )
         != ( host @ SV18 ) )
        = $true )
      | ( ( ~ ( setIn @ SV18 @ alive )
          | ~ ( setIn @ SV74 @ alive ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[631]) ).

thf(671,plain,
    ! [SV76: $i,SV121: $i,SV20: $i] :
      ( ( ( elem @ SV20 @ ( snoc @ SV121 @ SV76 ) )
        = $false )
      | ( ( ( SV20 = SV76 )
          | ( elem @ SV20 @ SV121 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[632]) ).

thf(672,plain,
    ! [SV121: $i,SV76: $i,SV20: $i] :
      ( ( ( ( SV20 = SV76 )
          | ( elem @ SV20 @ SV121 ) )
        = $false )
      | ( ( elem @ SV20 @ ( snoc @ SV121 @ SV76 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[633]) ).

thf(673,plain,
    ! [SV77: $i,SV21: $i] :
      ( ( ( ~ ~ ( setIn @ SV21 @ alive )
          | ~ ( leq @ SV77 @ SV21 ) )
        = $true )
      | ( ( ( host @ SV77 )
         != ( host @ SV21 ) )
        = $true )
      | ( ( ~ ( setIn @ SV77 @ alive ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[634]) ).

thf(674,plain,
    ! [SV82: $i,SV26: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                            | ~ ( setIn @ SV82 @ alive ) )
                      | ( ( index @ ldr @ ( host @ SV26 ) )
                       != ( host @ SV26 ) ) )
                | ( ( index @ status @ ( host @ SV26 ) )
                 != norm ) )
          | ( ( index @ status @ ( host @ SV82 ) )
           != norm ) )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV82 ) )
         != ( host @ SV82 ) )
        = $true )
      | ( ( SV82 = SV26 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[635]) ).

thf(675,plain,
    ! [SV29: $i,SV85: $i,SV123: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ! [SY413: $i] :
                          ( ~ ~ ( ~ ~ ( leq @ ( host @ SV123 ) @ SY413 )
                                | ~ ( leq @ ( s @ zero ) @ SY413 ) )
                          | ( setIn @ SY413 @ ( index @ down @ ( host @ SV123 ) ) )
                          | ( SY413
                            = ( host @ SV85 ) ) )
                    | ~ ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
              | ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[638]) ).

thf(676,plain,
    ! [SV125: $i,SV88: $i,SV32: $i] :
      ( ( ( elem @ SV32 @ ( cons @ SV88 @ SV125 ) )
        = $false )
      | ( ( ( SV32 = SV88 )
          | ( elem @ SV32 @ SV125 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[641]) ).

thf(677,plain,
    ! [SV125: $i,SV88: $i,SV32: $i] :
      ( ( ( ( SV32 = SV88 )
          | ( elem @ SV32 @ SV125 ) )
        = $false )
      | ( ( elem @ SV32 @ ( cons @ SV88 @ SV125 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[642]) ).

thf(678,plain,
    ( ( ( host @ sK3_SY149 )
      = ( host @ sK6_SY398 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[643]) ).

thf(679,plain,
    ( ( ( host @ sK3_SY149 )
     != ( host @ sK7_SY416 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[644]) ).

thf(680,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY149 ) ) @ ( host @ sK5_SX0 ) )
                  | ~ ( setIn @ sK7_SY416 @ alive ) )
            | ~ ( elem @ ( m_Halt @ sK7_SY416 ) @ ( snoc @ ( queue @ ( host @ sK6_SY398 ) ) @ ( m_Halt @ sK3_SY149 ) ) ) )
      | ~ ~ ( ~ ~ ( ~ ( setIn @ sK5_SX0 @ alive )
                  | ( ( index @ ldr @ ( host @ sK5_SX0 ) )
                   != ( host @ sK5_SX0 ) ) )
            | ( ( index @ status @ ( host @ sK5_SX0 ) )
             != norm ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[644]) ).

thf(681,plain,
    ! [SV127: $i,SV91: $i,SV35: $i] :
      ( ( ( leq @ SV35 @ SV91 )
        = $false )
      | ( ( ~ ( leq @ SV91 @ SV127 ) )
        = $true )
      | ( ( leq @ SV35 @ SV127 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[645]) ).

thf(682,plain,
    ! [SV138: $i,SV92: $i,SV128: $i,SV36: $i] :
      ( ( ( ( m_Ack @ SV36 @ SV128 )
          = ( m_Ack @ SV92 @ SV138 ) )
        = $false )
      | ( ( SV128 = SV138 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[646]) ).

thf(683,plain,
    ! [SV39: $i,SV95: $i] :
      ( ( ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV39 ) )
          | ~ ( setIn @ SV95 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV39 @ alive )
                      | ( ( index @ ldr @ ( host @ SV39 ) )
                       != ( host @ SV39 ) ) )
                | ( ( index @ status @ ( host @ SV39 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[647]) ).

thf(684,plain,
    ! [SV139: $i,SV98: $i,SV129: $i,SV42: $i] :
      ( ( ( ( m_Ack @ SV42 @ SV129 )
          = ( m_Ack @ SV98 @ SV139 ) )
        = $false )
      | ( ( SV42 = SV98 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[648]) ).

thf(685,plain,
    ! [SV99: $i,SV43: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV43 ) @ ( host @ SV99 ) )
                      | ~ ( setIn @ SV43 @ alive ) )
                | ~ ( setIn @ SV99 @ alive ) )
          | ( ( index @ status @ ( host @ SV43 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV99 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV43 ) ) @ ( index @ pendack @ ( host @ SV99 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[649]) ).

thf(686,plain,
    ! [SV44: $i] :
      ( ( ( leq @ ( s @ zero ) @ SV44 )
        = $false )
      | ( ( leq @ ( host @ sK3_SY149 ) @ SV44 )
        = $true )
      | ( ( ( setIn @ SV44 @ ( index @ down @ ( host @ sK3_SY149 ) ) )
          | ( SV44
            = ( host @ sK4_SY233 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[650]) ).

thf(687,plain,
    ! [SV102: $i,SV47: $i] :
      ( ( ( SV47 = SV102 )
        = $true )
      | ( ( ( m_Down @ SV47 )
         != ( m_Down @ SV102 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[651]) ).

thf(688,plain,
    ! [SV102: $i,SV47: $i] :
      ( ( ( ( m_Down @ SV47 )
          = ( m_Down @ SV102 ) )
        = $true )
      | ( ( SV47 != SV102 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[652]) ).

thf(689,plain,
    ! [SV104: $i,SV49: $i] :
      ( ( ( ~ ( leq @ SV49 @ SV104 )
          | ~ ( leq @ SV104 @ SV49 ) )
        = $true )
      | ( ( SV49 = SV104 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[653]) ).

thf(690,plain,
    ! [SV104: $i,SV49: $i] :
      ( ( ( ~ ( leq @ SV49 @ SV104 )
          | ~ ( leq @ SV104 @ SV49 ) )
        = $false )
      | ( ( SV49 = SV104 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[654]) ).

thf(691,plain,
    ! [SV50: $i] :
      ( ( ( ~ ( ( SV50
                = ( m_Halt @ ( sK8_SY367 @ SV50 ) ) )
              | ( SV50
                = ( m_Down @ ( sK8_SY367 @ SV50 ) ) ) ) )
        = $false )
      | ( ( pidElem @ SV50 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[655]) ).

thf(692,plain,
    ! [SV140: $i,SV50: $i] :
      ( ( ( ~ ( ( SV50
                = ( m_Halt @ SV140 ) )
              | ( SV50
                = ( m_Down @ SV140 ) ) ) )
        = $true )
      | ( ( pidElem @ SV50 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[656]) ).

thf(693,plain,
    ! [SV105: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV51 ) @ ( host @ SV105 ) )
                      | ~ ( setIn @ SV51 @ alive ) )
                | ~ ( setIn @ SV105 @ alive ) )
          | ( ( index @ status @ ( host @ SV51 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV105 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[657]) ).

thf(694,plain,
    ! [SV52: $i] :
      ( ( ( setIn @ SV52 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV52 ) )
          = elec_1 )
        = $false )
      | ( ( ( index @ elid @ ( host @ SV52 ) )
          = SV52 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[658]) ).

thf(695,plain,
    ! [SV52: $i] :
      ( ( ( setIn @ SV52 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV52 ) )
          = elec_2 )
        = $false )
      | ( ( ( index @ elid @ ( host @ SV52 ) )
          = SV52 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[659]) ).

thf(696,plain,
    ! [SV54: $i,SV107: $i,SV132: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV132 @ alive )
              | ~ ( elem @ ( m_Down @ SV107 ) @ ( queue @ ( host @ SV132 ) ) ) ) )
        = $false )
      | ( ( ( host @ SV107 )
         != ( host @ SV54 ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV54 @ alive )
                      | ( ( index @ ldr @ ( host @ SV54 ) )
                       != ( host @ SV54 ) ) )
                | ( ( index @ status @ ( host @ SV54 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[660]) ).

thf(697,plain,
    ! [SV108: $i,SV55: $i] :
      ( ( ( SV55
          = ( s @ SV108 ) )
        = $true )
      | ( ( leq @ SV55 @ SV108 )
        = $true )
      | ( ( leq @ SV55 @ ( s @ SV108 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[661]) ).

thf(698,plain,
    ! [SV108: $i,SV55: $i] :
      ( ( ( SV55
          = ( s @ SV108 ) )
        = $false )
      | ( ( leq @ SV55 @ ( s @ SV108 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[662]) ).

thf(699,plain,
    ! [SV108: $i,SV55: $i] :
      ( ( ( leq @ SV55 @ SV108 )
        = $false )
      | ( ( leq @ SV55 @ ( s @ SV108 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[662]) ).

thf(700,plain,
    ! [SV59: $i,SV112: $i,SV133: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV133 @ alive )
              | ~ ( elem @ ( m_Ack @ SV133 @ SV112 ) @ ( queue @ ( host @ SV133 ) ) ) ) )
        = $false )
      | ( ( ( host @ SV112 )
         != ( host @ SV59 ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV59 @ alive )
                      | ( ( index @ ldr @ ( host @ SV59 ) )
                       != ( host @ SV59 ) ) )
                | ( ( index @ status @ ( host @ SV59 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[663]) ).

thf(701,plain,
    ! [SV113: $i,SV60: $i] :
      ( ( ( SV60 = SV113 )
        = $true )
      | ( ( ( m_Halt @ SV60 )
         != ( m_Halt @ SV113 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[664]) ).

thf(702,plain,
    ! [SV113: $i,SV60: $i] :
      ( ( ( ( m_Halt @ SV60 )
          = ( m_Halt @ SV113 ) )
        = $true )
      | ( ( SV60 != SV113 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[665]) ).

thf(703,plain,
    ! [SV135: $i,SV62: $i,SV115: $i] :
      ( ( ( ~ ( ~ ( ordered @ ( cons @ ( m_Halt @ SV115 ) @ SV62 ) )
              | ( ( host @ SV115 )
               != ( host @ SV135 ) ) ) )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV135 ) @ SV62 ) )
        = $true )
      | ( ( leq @ SV115 @ SV135 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[666]) ).

thf(704,plain,
    ! [SV118: $i,SV65: $i,SV137: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV137 ) ) @ ( host @ SV65 ) )
                    | ~ ( setIn @ SV137 @ alive ) )
              | ~ ( elem @ ( m_Halt @ SV137 ) @ ( queue @ ( host @ SV118 ) ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV137 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV65 @ alive )
                      | ( ( index @ ldr @ ( host @ SV65 ) )
                       != ( host @ SV65 ) ) )
                | ( ( index @ status @ ( host @ SV65 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[667]) ).

thf(705,plain,
    ! [SV119: $i,SV66: $i] :
      ( ( ( SV66 = SV119 )
        = $true )
      | ( ( ( m_Ldr @ SV66 )
         != ( m_Ldr @ SV119 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[668]) ).

thf(706,plain,
    ! [SV119: $i,SV66: $i] :
      ( ( ( ( m_Ldr @ SV66 )
          = ( m_Ldr @ SV119 ) )
        = $true )
      | ( ( SV66 != SV119 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[669]) ).

thf(707,plain,
    ! [SV18: $i,SV74: $i] :
      ( ( ( ( host @ SV74 )
          = ( host @ SV18 ) )
        = $false )
      | ( ( SV74 = SV18 )
        = $true )
      | ( ( ~ ( setIn @ SV18 @ alive )
          | ~ ( setIn @ SV74 @ alive ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[670]) ).

thf(708,plain,
    ! [SV121: $i,SV76: $i,SV20: $i] :
      ( ( ( SV20 = SV76 )
        = $true )
      | ( ( elem @ SV20 @ SV121 )
        = $true )
      | ( ( elem @ SV20 @ ( snoc @ SV121 @ SV76 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[671]) ).

thf(709,plain,
    ! [SV121: $i,SV76: $i,SV20: $i] :
      ( ( ( SV20 = SV76 )
        = $false )
      | ( ( elem @ SV20 @ ( snoc @ SV121 @ SV76 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[672]) ).

thf(710,plain,
    ! [SV76: $i,SV121: $i,SV20: $i] :
      ( ( ( elem @ SV20 @ SV121 )
        = $false )
      | ( ( elem @ SV20 @ ( snoc @ SV121 @ SV76 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[672]) ).

thf(711,plain,
    ! [SV77: $i,SV21: $i] :
      ( ( ( ~ ~ ( setIn @ SV21 @ alive ) )
        = $true )
      | ( ( ~ ( leq @ SV77 @ SV21 ) )
        = $true )
      | ( ( ( host @ SV77 )
         != ( host @ SV21 ) )
        = $true )
      | ( ( ~ ( setIn @ SV77 @ alive ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[673]) ).

thf(712,plain,
    ! [SV82: $i,SV26: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                            | ~ ( setIn @ SV82 @ alive ) )
                      | ( ( index @ ldr @ ( host @ SV26 ) )
                       != ( host @ SV26 ) ) )
                | ( ( index @ status @ ( host @ SV26 ) )
                 != norm ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV82 ) )
         != norm )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV82 ) )
         != ( host @ SV82 ) )
        = $true )
      | ( ( SV82 = SV26 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[674]) ).

thf(713,plain,
    ! [SV29: $i,SV85: $i,SV123: $i] :
      ( ( ( ~ ~ ( ~ ! [SY413: $i] :
                      ( ~ ~ ( ~ ~ ( leq @ ( host @ SV123 ) @ SY413 )
                            | ~ ( leq @ ( s @ zero ) @ SY413 ) )
                      | ( setIn @ SY413 @ ( index @ down @ ( host @ SV123 ) ) )
                      | ( SY413
                        = ( host @ SV85 ) ) )
                | ~ ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
          | ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[675]) ).

thf(714,plain,
    ! [SV125: $i,SV88: $i,SV32: $i] :
      ( ( ( SV32 = SV88 )
        = $true )
      | ( ( elem @ SV32 @ SV125 )
        = $true )
      | ( ( elem @ SV32 @ ( cons @ SV88 @ SV125 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[676]) ).

thf(715,plain,
    ! [SV125: $i,SV88: $i,SV32: $i] :
      ( ( ( SV32 = SV88 )
        = $false )
      | ( ( elem @ SV32 @ ( cons @ SV88 @ SV125 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[677]) ).

thf(716,plain,
    ! [SV88: $i,SV125: $i,SV32: $i] :
      ( ( ( elem @ SV32 @ SV125 )
        = $false )
      | ( ( elem @ SV32 @ ( cons @ SV88 @ SV125 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[677]) ).

thf(717,plain,
    ( ( ( host @ sK3_SY149 )
      = ( host @ sK7_SY416 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[679]) ).

thf(718,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY149 ) ) @ ( host @ sK5_SX0 ) )
                  | ~ ( setIn @ sK7_SY416 @ alive ) )
            | ~ ( elem @ ( m_Halt @ sK7_SY416 ) @ ( snoc @ ( queue @ ( host @ sK6_SY398 ) ) @ ( m_Halt @ sK3_SY149 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[680]) ).

thf(719,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ sK5_SX0 @ alive )
                  | ( ( index @ ldr @ ( host @ sK5_SX0 ) )
                   != ( host @ sK5_SX0 ) ) )
            | ( ( index @ status @ ( host @ sK5_SX0 ) )
             != norm ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[680]) ).

thf(720,plain,
    ! [SV35: $i,SV127: $i,SV91: $i] :
      ( ( ( leq @ SV91 @ SV127 )
        = $false )
      | ( ( leq @ SV35 @ SV91 )
        = $false )
      | ( ( leq @ SV35 @ SV127 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[681]) ).

thf(721,plain,
    ! [SV39: $i,SV95: $i] :
      ( ( ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV39 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV95 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV39 @ alive )
                      | ( ( index @ ldr @ ( host @ SV39 ) )
                       != ( host @ SV39 ) ) )
                | ( ( index @ status @ ( host @ SV39 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[683]) ).

thf(722,plain,
    ! [SV99: $i,SV43: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV43 ) @ ( host @ SV99 ) )
                      | ~ ( setIn @ SV43 @ alive ) )
                | ~ ( setIn @ SV99 @ alive ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV43 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV99 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV43 ) ) @ ( index @ pendack @ ( host @ SV99 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[685]) ).

thf(723,plain,
    ! [SV44: $i] :
      ( ( ( setIn @ SV44 @ ( index @ down @ ( host @ sK3_SY149 ) ) )
        = $true )
      | ( ( SV44
          = ( host @ sK4_SY233 ) )
        = $true )
      | ( ( leq @ ( host @ sK3_SY149 ) @ SV44 )
        = $true )
      | ( ( leq @ ( s @ zero ) @ SV44 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[686]) ).

thf(724,plain,
    ! [SV102: $i,SV47: $i] :
      ( ( ( ( m_Down @ SV47 )
          = ( m_Down @ SV102 ) )
        = $false )
      | ( ( SV47 = SV102 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[687]) ).

thf(725,plain,
    ! [SV102: $i,SV47: $i] :
      ( ( ( SV47 = SV102 )
        = $false )
      | ( ( ( m_Down @ SV47 )
          = ( m_Down @ SV102 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[688]) ).

thf(726,plain,
    ! [SV104: $i,SV49: $i] :
      ( ( ( ~ ( leq @ SV49 @ SV104 ) )
        = $true )
      | ( ( ~ ( leq @ SV104 @ SV49 ) )
        = $true )
      | ( ( SV49 = SV104 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[689]) ).

thf(727,plain,
    ! [SV104: $i,SV49: $i] :
      ( ( ( ~ ( leq @ SV49 @ SV104 ) )
        = $false )
      | ( ( SV49 = SV104 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[690]) ).

thf(728,plain,
    ! [SV49: $i,SV104: $i] :
      ( ( ( ~ ( leq @ SV104 @ SV49 ) )
        = $false )
      | ( ( SV49 = SV104 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[690]) ).

thf(729,plain,
    ! [SV50: $i] :
      ( ( ( ( SV50
            = ( m_Halt @ ( sK8_SY367 @ SV50 ) ) )
          | ( SV50
            = ( m_Down @ ( sK8_SY367 @ SV50 ) ) ) )
        = $true )
      | ( ( pidElem @ SV50 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[691]) ).

thf(730,plain,
    ! [SV140: $i,SV50: $i] :
      ( ( ( ( SV50
            = ( m_Halt @ SV140 ) )
          | ( SV50
            = ( m_Down @ SV140 ) ) )
        = $false )
      | ( ( pidElem @ SV50 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[692]) ).

thf(731,plain,
    ! [SV105: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV51 ) @ ( host @ SV105 ) )
                      | ~ ( setIn @ SV51 @ alive ) )
                | ~ ( setIn @ SV105 @ alive ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV51 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV105 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[693]) ).

thf(732,plain,
    ! [SV54: $i,SV107: $i,SV132: $i] :
      ( ( ( ~ ( setIn @ SV132 @ alive )
          | ~ ( elem @ ( m_Down @ SV107 ) @ ( queue @ ( host @ SV132 ) ) ) )
        = $true )
      | ( ( ( host @ SV107 )
         != ( host @ SV54 ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV54 @ alive )
                      | ( ( index @ ldr @ ( host @ SV54 ) )
                       != ( host @ SV54 ) ) )
                | ( ( index @ status @ ( host @ SV54 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[696]) ).

thf(733,plain,
    ! [SV59: $i,SV112: $i,SV133: $i] :
      ( ( ( ~ ( setIn @ SV133 @ alive )
          | ~ ( elem @ ( m_Ack @ SV133 @ SV112 ) @ ( queue @ ( host @ SV133 ) ) ) )
        = $true )
      | ( ( ( host @ SV112 )
         != ( host @ SV59 ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV59 @ alive )
                      | ( ( index @ ldr @ ( host @ SV59 ) )
                       != ( host @ SV59 ) ) )
                | ( ( index @ status @ ( host @ SV59 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[700]) ).

thf(734,plain,
    ! [SV113: $i,SV60: $i] :
      ( ( ( ( m_Halt @ SV60 )
          = ( m_Halt @ SV113 ) )
        = $false )
      | ( ( SV60 = SV113 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[701]) ).

thf(735,plain,
    ! [SV113: $i,SV60: $i] :
      ( ( ( SV60 = SV113 )
        = $false )
      | ( ( ( m_Halt @ SV60 )
          = ( m_Halt @ SV113 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[702]) ).

thf(736,plain,
    ! [SV135: $i,SV62: $i,SV115: $i] :
      ( ( ( ~ ( ordered @ ( cons @ ( m_Halt @ SV115 ) @ SV62 ) )
          | ( ( host @ SV115 )
           != ( host @ SV135 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV135 ) @ SV62 ) )
        = $true )
      | ( ( leq @ SV115 @ SV135 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[703]) ).

thf(737,plain,
    ! [SV118: $i,SV65: $i,SV137: $i] :
      ( ( ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV137 ) ) @ ( host @ SV65 ) )
                | ~ ( setIn @ SV137 @ alive ) )
          | ~ ( elem @ ( m_Halt @ SV137 ) @ ( queue @ ( host @ SV118 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV137 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV65 @ alive )
                      | ( ( index @ ldr @ ( host @ SV65 ) )
                       != ( host @ SV65 ) ) )
                | ( ( index @ status @ ( host @ SV65 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[704]) ).

thf(738,plain,
    ! [SV119: $i,SV66: $i] :
      ( ( ( ( m_Ldr @ SV66 )
          = ( m_Ldr @ SV119 ) )
        = $false )
      | ( ( SV66 = SV119 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[705]) ).

thf(739,plain,
    ! [SV119: $i,SV66: $i] :
      ( ( ( SV66 = SV119 )
        = $false )
      | ( ( ( m_Ldr @ SV66 )
          = ( m_Ldr @ SV119 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[706]) ).

thf(740,plain,
    ! [SV74: $i,SV18: $i] :
      ( ( ( ~ ( setIn @ SV18 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV74 @ alive ) )
        = $true )
      | ( ( SV74 = SV18 )
        = $true )
      | ( ( ( host @ SV74 )
          = ( host @ SV18 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[707]) ).

thf(741,plain,
    ! [SV77: $i,SV21: $i] :
      ( ( ( ~ ( setIn @ SV21 @ alive ) )
        = $false )
      | ( ( ~ ( leq @ SV77 @ SV21 ) )
        = $true )
      | ( ( ( host @ SV77 )
         != ( host @ SV21 ) )
        = $true )
      | ( ( ~ ( setIn @ SV77 @ alive ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[711]) ).

thf(742,plain,
    ! [SV82: $i,SV26: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                          | ~ ( setIn @ SV82 @ alive ) )
                    | ( ( index @ ldr @ ( host @ SV26 ) )
                     != ( host @ SV26 ) ) )
              | ( ( index @ status @ ( host @ SV26 ) )
               != norm ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV82 ) )
         != norm )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV82 ) )
         != ( host @ SV82 ) )
        = $true )
      | ( ( SV82 = SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[712]) ).

thf(743,plain,
    ! [SV29: $i,SV85: $i,SV123: $i] :
      ( ( ( ~ ~ ( ~ ! [SY413: $i] :
                      ( ~ ~ ( ~ ~ ( leq @ ( host @ SV123 ) @ SY413 )
                            | ~ ( leq @ ( s @ zero ) @ SY413 ) )
                      | ( setIn @ SY413 @ ( index @ down @ ( host @ SV123 ) ) )
                      | ( SY413
                        = ( host @ SV85 ) ) )
                | ~ ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[713]) ).

thf(744,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY149 ) ) @ ( host @ sK5_SX0 ) )
                | ~ ( setIn @ sK7_SY416 @ alive ) )
          | ~ ( elem @ ( m_Halt @ sK7_SY416 ) @ ( snoc @ ( queue @ ( host @ sK6_SY398 ) ) @ ( m_Halt @ sK3_SY149 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[718]) ).

thf(745,plain,
    ( ( ~ ( ~ ~ ( ~ ( setIn @ sK5_SX0 @ alive )
                | ( ( index @ ldr @ ( host @ sK5_SX0 ) )
                 != ( host @ sK5_SX0 ) ) )
          | ( ( index @ status @ ( host @ sK5_SX0 ) )
           != norm ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[719]) ).

thf(746,plain,
    ! [SV39: $i,SV95: $i] :
      ( ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV39 ) ) )
        = $false )
      | ( ( ~ ( setIn @ SV95 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV39 @ alive )
                      | ( ( index @ ldr @ ( host @ SV39 ) )
                       != ( host @ SV39 ) ) )
                | ( ( index @ status @ ( host @ SV39 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[721]) ).

thf(747,plain,
    ! [SV99: $i,SV43: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV43 ) @ ( host @ SV99 ) )
                    | ~ ( setIn @ SV43 @ alive ) )
              | ~ ( setIn @ SV99 @ alive ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV43 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV99 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV43 ) ) @ ( index @ pendack @ ( host @ SV99 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[722]) ).

thf(748,plain,
    ! [SV104: $i,SV49: $i] :
      ( ( ( leq @ SV49 @ SV104 )
        = $false )
      | ( ( ~ ( leq @ SV104 @ SV49 ) )
        = $true )
      | ( ( SV49 = SV104 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[726]) ).

thf(749,plain,
    ! [SV104: $i,SV49: $i] :
      ( ( ( leq @ SV49 @ SV104 )
        = $true )
      | ( ( SV49 = SV104 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[727]) ).

thf(750,plain,
    ! [SV49: $i,SV104: $i] :
      ( ( ( leq @ SV104 @ SV49 )
        = $true )
      | ( ( SV49 = SV104 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[728]) ).

thf(751,plain,
    ! [SV50: $i] :
      ( ( ( SV50
          = ( m_Halt @ ( sK8_SY367 @ SV50 ) ) )
        = $true )
      | ( ( SV50
          = ( m_Down @ ( sK8_SY367 @ SV50 ) ) )
        = $true )
      | ( ( pidElem @ SV50 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[729]) ).

thf(752,plain,
    ! [SV140: $i,SV50: $i] :
      ( ( ( SV50
          = ( m_Halt @ SV140 ) )
        = $false )
      | ( ( pidElem @ SV50 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[730]) ).

thf(753,plain,
    ! [SV140: $i,SV50: $i] :
      ( ( ( SV50
          = ( m_Down @ SV140 ) )
        = $false )
      | ( ( pidElem @ SV50 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[730]) ).

thf(754,plain,
    ! [SV105: $i,SV51: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV51 ) @ ( host @ SV105 ) )
                    | ~ ( setIn @ SV51 @ alive ) )
              | ~ ( setIn @ SV105 @ alive ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV51 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV105 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[731]) ).

thf(755,plain,
    ! [SV54: $i,SV107: $i,SV132: $i] :
      ( ( ( ~ ( setIn @ SV132 @ alive ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV107 ) @ ( queue @ ( host @ SV132 ) ) ) )
        = $true )
      | ( ( ( host @ SV107 )
         != ( host @ SV54 ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV54 @ alive )
                      | ( ( index @ ldr @ ( host @ SV54 ) )
                       != ( host @ SV54 ) ) )
                | ( ( index @ status @ ( host @ SV54 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[732]) ).

thf(756,plain,
    ! [SV59: $i,SV112: $i,SV133: $i] :
      ( ( ( ~ ( setIn @ SV133 @ alive ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV133 @ SV112 ) @ ( queue @ ( host @ SV133 ) ) ) )
        = $true )
      | ( ( ( host @ SV112 )
         != ( host @ SV59 ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV59 @ alive )
                      | ( ( index @ ldr @ ( host @ SV59 ) )
                       != ( host @ SV59 ) ) )
                | ( ( index @ status @ ( host @ SV59 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[733]) ).

thf(757,plain,
    ! [SV135: $i,SV62: $i,SV115: $i] :
      ( ( ( ~ ( ordered @ ( cons @ ( m_Halt @ SV115 ) @ SV62 ) ) )
        = $true )
      | ( ( ( host @ SV115 )
         != ( host @ SV135 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV135 ) @ SV62 ) )
        = $true )
      | ( ( leq @ SV115 @ SV135 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[736]) ).

thf(758,plain,
    ! [SV118: $i,SV65: $i,SV137: $i] :
      ( ( ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV137 ) ) @ ( host @ SV65 ) )
                | ~ ( setIn @ SV137 @ alive ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Halt @ SV137 ) @ ( queue @ ( host @ SV118 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV137 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV65 @ alive )
                      | ( ( index @ ldr @ ( host @ SV65 ) )
                       != ( host @ SV65 ) ) )
                | ( ( index @ status @ ( host @ SV65 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[737]) ).

thf(759,plain,
    ! [SV74: $i,SV18: $i] :
      ( ( ( setIn @ SV18 @ alive )
        = $false )
      | ( ( ~ ( setIn @ SV74 @ alive ) )
        = $true )
      | ( ( SV74 = SV18 )
        = $true )
      | ( ( ( host @ SV74 )
          = ( host @ SV18 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[740]) ).

thf(760,plain,
    ! [SV77: $i,SV21: $i] :
      ( ( ( setIn @ SV21 @ alive )
        = $true )
      | ( ( ~ ( leq @ SV77 @ SV21 ) )
        = $true )
      | ( ( ( host @ SV77 )
         != ( host @ SV21 ) )
        = $true )
      | ( ( ~ ( setIn @ SV77 @ alive ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[741]) ).

thf(761,plain,
    ! [SV82: $i,SV26: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                      | ~ ( setIn @ SV82 @ alive ) )
                | ( ( index @ ldr @ ( host @ SV26 ) )
                 != ( host @ SV26 ) ) )
          | ( ( index @ status @ ( host @ SV26 ) )
           != norm ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV82 ) )
         != norm )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV82 ) )
         != ( host @ SV82 ) )
        = $true )
      | ( ( SV82 = SV26 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[742]) ).

thf(762,plain,
    ! [SV29: $i,SV85: $i,SV123: $i] :
      ( ( ( ~ ( ~ ! [SY413: $i] :
                    ( ~ ~ ( ~ ~ ( leq @ ( host @ SV123 ) @ SY413 )
                          | ~ ( leq @ ( s @ zero ) @ SY413 ) )
                    | ( setIn @ SY413 @ ( index @ down @ ( host @ SV123 ) ) )
                    | ( SY413
                      = ( host @ SV85 ) ) )
              | ~ ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) ) )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[743]) ).

thf(763,plain,
    ( ( ~ ~ ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY149 ) ) @ ( host @ sK5_SX0 ) )
            | ~ ( setIn @ sK7_SY416 @ alive ) )
      | ~ ( elem @ ( m_Halt @ sK7_SY416 ) @ ( snoc @ ( queue @ ( host @ sK6_SY398 ) ) @ ( m_Halt @ sK3_SY149 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[744]) ).

thf(764,plain,
    ( ( ~ ~ ( ~ ( setIn @ sK5_SX0 @ alive )
            | ( ( index @ ldr @ ( host @ sK5_SX0 ) )
             != ( host @ sK5_SX0 ) ) )
      | ( ( index @ status @ ( host @ sK5_SX0 ) )
       != norm ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[745]) ).

thf(765,plain,
    ! [SV39: $i,SV95: $i] :
      ( ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV39 ) )
        = $true )
      | ( ( ~ ( setIn @ SV95 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV39 @ alive )
                      | ( ( index @ ldr @ ( host @ SV39 ) )
                       != ( host @ SV39 ) ) )
                | ( ( index @ status @ ( host @ SV39 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[746]) ).

thf(766,plain,
    ! [SV99: $i,SV43: $i] :
      ( ( ( ~ ~ ( ~ ~ ( leq @ ( host @ SV43 ) @ ( host @ SV99 ) )
                | ~ ( setIn @ SV43 @ alive ) )
          | ~ ( setIn @ SV99 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV43 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV99 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV43 ) ) @ ( index @ pendack @ ( host @ SV99 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[747]) ).

thf(767,plain,
    ! [SV49: $i,SV104: $i] :
      ( ( ( leq @ SV104 @ SV49 )
        = $false )
      | ( ( leq @ SV49 @ SV104 )
        = $false )
      | ( ( SV49 = SV104 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[748]) ).

thf(768,plain,
    ! [SV105: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( leq @ ( host @ SV51 ) @ ( host @ SV105 ) )
                | ~ ( setIn @ SV51 @ alive ) )
          | ~ ( setIn @ SV105 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV51 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV105 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[754]) ).

thf(769,plain,
    ! [SV54: $i,SV107: $i,SV132: $i] :
      ( ( ( setIn @ SV132 @ alive )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV107 ) @ ( queue @ ( host @ SV132 ) ) ) )
        = $true )
      | ( ( ( host @ SV107 )
         != ( host @ SV54 ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV54 @ alive )
                      | ( ( index @ ldr @ ( host @ SV54 ) )
                       != ( host @ SV54 ) ) )
                | ( ( index @ status @ ( host @ SV54 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[755]) ).

thf(770,plain,
    ! [SV59: $i,SV112: $i,SV133: $i] :
      ( ( ( setIn @ SV133 @ alive )
        = $false )
      | ( ( ~ ( elem @ ( m_Ack @ SV133 @ SV112 ) @ ( queue @ ( host @ SV133 ) ) ) )
        = $true )
      | ( ( ( host @ SV112 )
         != ( host @ SV59 ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV59 @ alive )
                      | ( ( index @ ldr @ ( host @ SV59 ) )
                       != ( host @ SV59 ) ) )
                | ( ( index @ status @ ( host @ SV59 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[756]) ).

thf(771,plain,
    ! [SV135: $i,SV62: $i,SV115: $i] :
      ( ( ( ordered @ ( cons @ ( m_Halt @ SV115 ) @ SV62 ) )
        = $false )
      | ( ( ( host @ SV115 )
         != ( host @ SV135 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV135 ) @ SV62 ) )
        = $true )
      | ( ( leq @ SV115 @ SV135 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[757]) ).

thf(772,plain,
    ! [SV118: $i,SV65: $i,SV137: $i] :
      ( ( ( ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV137 ) ) @ ( host @ SV65 ) )
              | ~ ( setIn @ SV137 @ alive ) ) )
        = $false )
      | ( ( ~ ( elem @ ( m_Halt @ SV137 ) @ ( queue @ ( host @ SV118 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV137 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV65 @ alive )
                      | ( ( index @ ldr @ ( host @ SV65 ) )
                       != ( host @ SV65 ) ) )
                | ( ( index @ status @ ( host @ SV65 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[758]) ).

thf(773,plain,
    ! [SV18: $i,SV74: $i] :
      ( ( ( setIn @ SV74 @ alive )
        = $false )
      | ( ( setIn @ SV18 @ alive )
        = $false )
      | ( ( SV74 = SV18 )
        = $true )
      | ( ( ( host @ SV74 )
          = ( host @ SV18 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[759]) ).

thf(774,plain,
    ! [SV21: $i,SV77: $i] :
      ( ( ( leq @ SV77 @ SV21 )
        = $false )
      | ( ( setIn @ SV21 @ alive )
        = $true )
      | ( ( ( host @ SV77 )
         != ( host @ SV21 ) )
        = $true )
      | ( ( ~ ( setIn @ SV77 @ alive ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[760]) ).

thf(775,plain,
    ! [SV82: $i,SV26: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                      | ~ ( setIn @ SV82 @ alive ) )
                | ( ( index @ ldr @ ( host @ SV26 ) )
                 != ( host @ SV26 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV26 ) )
         != norm )
        = $true )
      | ( ( ( index @ status @ ( host @ SV82 ) )
         != norm )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV82 ) )
         != ( host @ SV82 ) )
        = $true )
      | ( ( SV82 = SV26 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[761]) ).

thf(776,plain,
    ! [SV29: $i,SV85: $i,SV123: $i] :
      ( ( ( ~ ! [SY413: $i] :
                ( ~ ~ ( ~ ~ ( leq @ ( host @ SV123 ) @ SY413 )
                      | ~ ( leq @ ( s @ zero ) @ SY413 ) )
                | ( setIn @ SY413 @ ( index @ down @ ( host @ SV123 ) ) )
                | ( SY413
                  = ( host @ SV85 ) ) )
          | ~ ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[762]) ).

thf(777,plain,
    ( ( ~ ~ ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY149 ) ) @ ( host @ sK5_SX0 ) )
            | ~ ( setIn @ sK7_SY416 @ alive ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[763]) ).

thf(778,plain,
    ( ( ~ ( elem @ ( m_Halt @ sK7_SY416 ) @ ( snoc @ ( queue @ ( host @ sK6_SY398 ) ) @ ( m_Halt @ sK3_SY149 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[763]) ).

thf(779,plain,
    ( ( ~ ~ ( ~ ( setIn @ sK5_SX0 @ alive )
            | ( ( index @ ldr @ ( host @ sK5_SX0 ) )
             != ( host @ sK5_SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[764]) ).

thf(780,plain,
    ( ( ( index @ status @ ( host @ sK5_SX0 ) )
     != norm )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[764]) ).

thf(781,plain,
    ! [SV39: $i,SV95: $i] :
      ( ( ( setIn @ SV95 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV39 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV39 @ alive )
                      | ( ( index @ ldr @ ( host @ SV39 ) )
                       != ( host @ SV39 ) ) )
                | ( ( index @ status @ ( host @ SV39 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[765]) ).

thf(782,plain,
    ! [SV99: $i,SV43: $i] :
      ( ( ( ~ ~ ( ~ ~ ( leq @ ( host @ SV43 ) @ ( host @ SV99 ) )
                | ~ ( setIn @ SV43 @ alive ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV99 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV43 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV99 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV43 ) ) @ ( index @ pendack @ ( host @ SV99 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[766]) ).

thf(783,plain,
    ! [SV105: $i,SV51: $i] :
      ( ( ( ~ ~ ( ~ ~ ( leq @ ( host @ SV51 ) @ ( host @ SV105 ) )
                | ~ ( setIn @ SV51 @ alive ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV105 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV51 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV105 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[768]) ).

thf(784,plain,
    ! [SV54: $i,SV132: $i,SV107: $i] :
      ( ( ( elem @ ( m_Down @ SV107 ) @ ( queue @ ( host @ SV132 ) ) )
        = $false )
      | ( ( setIn @ SV132 @ alive )
        = $false )
      | ( ( ( host @ SV107 )
         != ( host @ SV54 ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV54 @ alive )
                      | ( ( index @ ldr @ ( host @ SV54 ) )
                       != ( host @ SV54 ) ) )
                | ( ( index @ status @ ( host @ SV54 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[769]) ).

thf(785,plain,
    ! [SV59: $i,SV112: $i,SV133: $i] :
      ( ( ( elem @ ( m_Ack @ SV133 @ SV112 ) @ ( queue @ ( host @ SV133 ) ) )
        = $false )
      | ( ( setIn @ SV133 @ alive )
        = $false )
      | ( ( ( host @ SV112 )
         != ( host @ SV59 ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV59 @ alive )
                      | ( ( index @ ldr @ ( host @ SV59 ) )
                       != ( host @ SV59 ) ) )
                | ( ( index @ status @ ( host @ SV59 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[770]) ).

thf(786,plain,
    ! [SV62: $i,SV135: $i,SV115: $i] :
      ( ( ( ( host @ SV115 )
          = ( host @ SV135 ) )
        = $false )
      | ( ( ordered @ ( cons @ ( m_Halt @ SV115 ) @ SV62 ) )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV135 ) @ SV62 ) )
        = $true )
      | ( ( leq @ SV115 @ SV135 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[771]) ).

thf(787,plain,
    ! [SV118: $i,SV65: $i,SV137: $i] :
      ( ( ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV137 ) ) @ ( host @ SV65 ) )
          | ~ ( setIn @ SV137 @ alive ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Halt @ SV137 ) @ ( queue @ ( host @ SV118 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV137 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV65 @ alive )
                      | ( ( index @ ldr @ ( host @ SV65 ) )
                       != ( host @ SV65 ) ) )
                | ( ( index @ status @ ( host @ SV65 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[772]) ).

thf(788,plain,
    ! [SV21: $i,SV77: $i] :
      ( ( ( ( host @ SV77 )
          = ( host @ SV21 ) )
        = $false )
      | ( ( setIn @ SV21 @ alive )
        = $true )
      | ( ( leq @ SV77 @ SV21 )
        = $false )
      | ( ( ~ ( setIn @ SV77 @ alive ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[774]) ).

thf(789,plain,
    ! [SV82: $i,SV26: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                    | ~ ( setIn @ SV82 @ alive ) )
              | ( ( index @ ldr @ ( host @ SV26 ) )
               != ( host @ SV26 ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV26 ) )
         != norm )
        = $true )
      | ( ( ( index @ status @ ( host @ SV82 ) )
         != norm )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV82 ) )
         != ( host @ SV82 ) )
        = $true )
      | ( ( SV82 = SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[775]) ).

thf(790,plain,
    ! [SV29: $i,SV85: $i,SV123: $i] :
      ( ( ( ~ ! [SY413: $i] :
                ( ~ ~ ( ~ ~ ( leq @ ( host @ SV123 ) @ SY413 )
                      | ~ ( leq @ ( s @ zero ) @ SY413 ) )
                | ( setIn @ SY413 @ ( index @ down @ ( host @ SV123 ) ) )
                | ( SY413
                  = ( host @ SV85 ) ) ) )
        = $true )
      | ( ( ~ ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[776]) ).

thf(791,plain,
    ( ( ~ ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY149 ) ) @ ( host @ sK5_SX0 ) )
          | ~ ( setIn @ sK7_SY416 @ alive ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[777]) ).

thf(792,plain,
    ( ( elem @ ( m_Halt @ sK7_SY416 ) @ ( snoc @ ( queue @ ( host @ sK6_SY398 ) ) @ ( m_Halt @ sK3_SY149 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[778]) ).

thf(793,plain,
    ( ( ~ ( ~ ( setIn @ sK5_SX0 @ alive )
          | ( ( index @ ldr @ ( host @ sK5_SX0 ) )
           != ( host @ sK5_SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[779]) ).

thf(794,plain,
    ( ( ( index @ status @ ( host @ sK5_SX0 ) )
      = norm )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[780]) ).

thf(795,plain,
    ! [SV39: $i,SV95: $i] :
      ( ( ( ( index @ status @ ( host @ SV95 ) )
          = elec_2 )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV39 ) )
        = $true )
      | ( ( setIn @ SV95 @ alive )
        = $false )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV39 @ alive )
                      | ( ( index @ ldr @ ( host @ SV39 ) )
                       != ( host @ SV39 ) ) )
                | ( ( index @ status @ ( host @ SV39 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[781]) ).

thf(796,plain,
    ! [SV99: $i,SV43: $i] :
      ( ( ( ~ ( ~ ~ ( leq @ ( host @ SV43 ) @ ( host @ SV99 ) )
              | ~ ( setIn @ SV43 @ alive ) ) )
        = $false )
      | ( ( ~ ( setIn @ SV99 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV43 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV99 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV43 ) ) @ ( index @ pendack @ ( host @ SV99 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[782]) ).

thf(797,plain,
    ! [SV105: $i,SV51: $i] :
      ( ( ( ~ ( ~ ~ ( leq @ ( host @ SV51 ) @ ( host @ SV105 ) )
              | ~ ( setIn @ SV51 @ alive ) ) )
        = $false )
      | ( ( ~ ( setIn @ SV105 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV51 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV105 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[783]) ).

thf(798,plain,
    ! [SV132: $i,SV54: $i,SV107: $i] :
      ( ( ( ( host @ SV107 )
          = ( host @ SV54 ) )
        = $false )
      | ( ( setIn @ SV132 @ alive )
        = $false )
      | ( ( elem @ ( m_Down @ SV107 ) @ ( queue @ ( host @ SV132 ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV54 @ alive )
                      | ( ( index @ ldr @ ( host @ SV54 ) )
                       != ( host @ SV54 ) ) )
                | ( ( index @ status @ ( host @ SV54 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[784]) ).

thf(799,plain,
    ! [SV133: $i,SV59: $i,SV112: $i] :
      ( ( ( ( host @ SV112 )
          = ( host @ SV59 ) )
        = $false )
      | ( ( setIn @ SV133 @ alive )
        = $false )
      | ( ( elem @ ( m_Ack @ SV133 @ SV112 ) @ ( queue @ ( host @ SV133 ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV59 @ alive )
                      | ( ( index @ ldr @ ( host @ SV59 ) )
                       != ( host @ SV59 ) ) )
                | ( ( index @ status @ ( host @ SV59 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[785]) ).

thf(800,plain,
    ! [SV115: $i,SV62: $i,SV135: $i] :
      ( ( ( elem @ ( m_Down @ SV135 ) @ SV62 )
        = $false )
      | ( ( ordered @ ( cons @ ( m_Halt @ SV115 ) @ SV62 ) )
        = $false )
      | ( ( ( host @ SV115 )
          = ( host @ SV135 ) )
        = $false )
      | ( ( leq @ SV115 @ SV135 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[786]) ).

thf(801,plain,
    ! [SV118: $i,SV65: $i,SV137: $i] :
      ( ( ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV137 ) ) @ ( host @ SV65 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV137 @ alive ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Halt @ SV137 ) @ ( queue @ ( host @ SV118 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV137 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV65 @ alive )
                      | ( ( index @ ldr @ ( host @ SV65 ) )
                       != ( host @ SV65 ) ) )
                | ( ( index @ status @ ( host @ SV65 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[787]) ).

thf(802,plain,
    ! [SV21: $i,SV77: $i] :
      ( ( ( setIn @ SV77 @ alive )
        = $false )
      | ( ( leq @ SV77 @ SV21 )
        = $false )
      | ( ( setIn @ SV21 @ alive )
        = $true )
      | ( ( ( host @ SV77 )
          = ( host @ SV21 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[788]) ).

thf(803,plain,
    ! [SV82: $i,SV26: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                | ~ ( setIn @ SV82 @ alive ) )
          | ( ( index @ ldr @ ( host @ SV26 ) )
           != ( host @ SV26 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV26 ) )
         != norm )
        = $true )
      | ( ( ( index @ status @ ( host @ SV82 ) )
         != norm )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV82 ) )
         != ( host @ SV82 ) )
        = $true )
      | ( ( SV82 = SV26 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[789]) ).

thf(804,plain,
    ! [SV29: $i,SV85: $i,SV123: $i] :
      ( ( ( ! [SY413: $i] :
              ( ~ ~ ( ~ ~ ( leq @ ( host @ SV123 ) @ SY413 )
                    | ~ ( leq @ ( s @ zero ) @ SY413 ) )
              | ( setIn @ SY413 @ ( index @ down @ ( host @ SV123 ) ) )
              | ( SY413
                = ( host @ SV85 ) ) ) )
        = $false )
      | ( ( ~ ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[790]) ).

thf(805,plain,
    ( ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY149 ) ) @ ( host @ sK5_SX0 ) )
      | ~ ( setIn @ sK7_SY416 @ alive ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[791]) ).

thf(806,plain,
    ( ( ~ ( setIn @ sK5_SX0 @ alive )
      | ( ( index @ ldr @ ( host @ sK5_SX0 ) )
       != ( host @ sK5_SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[793]) ).

thf(807,plain,
    ! [SV95: $i,SV39: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( setIn @ SV39 @ alive )
                    | ( ( index @ ldr @ ( host @ SV39 ) )
                     != ( host @ SV39 ) ) )
              | ( ( index @ status @ ( host @ SV39 ) )
               != norm ) ) )
        = $false )
      | ( ( setIn @ SV95 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV39 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[795]) ).

thf(808,plain,
    ! [SV99: $i,SV43: $i] :
      ( ( ( ~ ~ ( leq @ ( host @ SV43 ) @ ( host @ SV99 ) )
          | ~ ( setIn @ SV43 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV99 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV43 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV99 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV43 ) ) @ ( index @ pendack @ ( host @ SV99 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[796]) ).

thf(809,plain,
    ! [SV105: $i,SV51: $i] :
      ( ( ( ~ ~ ( leq @ ( host @ SV51 ) @ ( host @ SV105 ) )
          | ~ ( setIn @ SV51 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV105 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV51 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV105 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[797]) ).

thf(810,plain,
    ! [SV132: $i,SV107: $i,SV54: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( setIn @ SV54 @ alive )
                    | ( ( index @ ldr @ ( host @ SV54 ) )
                     != ( host @ SV54 ) ) )
              | ( ( index @ status @ ( host @ SV54 ) )
               != norm ) ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV107 ) @ ( queue @ ( host @ SV132 ) ) )
        = $false )
      | ( ( setIn @ SV132 @ alive )
        = $false )
      | ( ( ( host @ SV107 )
          = ( host @ SV54 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[798]) ).

thf(811,plain,
    ! [SV112: $i,SV133: $i,SV59: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( setIn @ SV59 @ alive )
                    | ( ( index @ ldr @ ( host @ SV59 ) )
                     != ( host @ SV59 ) ) )
              | ( ( index @ status @ ( host @ SV59 ) )
               != norm ) ) )
        = $false )
      | ( ( elem @ ( m_Ack @ SV133 @ SV112 ) @ ( queue @ ( host @ SV133 ) ) )
        = $false )
      | ( ( setIn @ SV133 @ alive )
        = $false )
      | ( ( ( host @ SV112 )
          = ( host @ SV59 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[799]) ).

thf(812,plain,
    ! [SV118: $i,SV65: $i,SV137: $i] :
      ( ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV137 ) ) @ ( host @ SV65 ) ) )
        = $false )
      | ( ( ~ ( setIn @ SV137 @ alive ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Halt @ SV137 ) @ ( queue @ ( host @ SV118 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV137 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV65 @ alive )
                      | ( ( index @ ldr @ ( host @ SV65 ) )
                       != ( host @ SV65 ) ) )
                | ( ( index @ status @ ( host @ SV65 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[801]) ).

thf(813,plain,
    ! [SV82: $i,SV26: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                | ~ ( setIn @ SV82 @ alive ) ) )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV26 ) )
         != ( host @ SV26 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV26 ) )
         != norm )
        = $true )
      | ( ( ( index @ status @ ( host @ SV82 ) )
         != norm )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV82 ) )
         != ( host @ SV82 ) )
        = $true )
      | ( ( SV82 = SV26 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[803]) ).

thf(814,plain,
    ! [SV85: $i,SV29: $i,SV123: $i] :
      ( ( ( ~ ~ ( ~ ~ ( leq @ ( host @ SV123 ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
                | ~ ( leq @ ( s @ zero ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) ) )
          | ( setIn @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) @ ( index @ down @ ( host @ SV123 ) ) )
          | ( ( sK9_SY413 @ SV29 @ SV85 @ SV123 )
            = ( host @ SV85 ) ) )
        = $false )
      | ( ( ~ ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[804]) ).

thf(815,plain,
    ( ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY149 ) ) @ ( host @ sK5_SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[805]) ).

thf(816,plain,
    ( ( ~ ( setIn @ sK7_SY416 @ alive ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[805]) ).

thf(817,plain,
    ( ( ~ ( setIn @ sK5_SX0 @ alive ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[806]) ).

thf(818,plain,
    ( ( ( index @ ldr @ ( host @ sK5_SX0 ) )
     != ( host @ sK5_SX0 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[806]) ).

thf(819,plain,
    ! [SV95: $i,SV39: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV39 @ alive )
                | ( ( index @ ldr @ ( host @ SV39 ) )
                 != ( host @ SV39 ) ) )
          | ( ( index @ status @ ( host @ SV39 ) )
           != norm ) )
        = $true )
      | ( ( setIn @ SV95 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV39 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[807]) ).

thf(820,plain,
    ! [SV99: $i,SV43: $i] :
      ( ( ( ~ ~ ( leq @ ( host @ SV43 ) @ ( host @ SV99 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV43 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV99 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV43 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV99 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV43 ) ) @ ( index @ pendack @ ( host @ SV99 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[808]) ).

thf(821,plain,
    ! [SV105: $i,SV51: $i] :
      ( ( ( ~ ~ ( leq @ ( host @ SV51 ) @ ( host @ SV105 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV51 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV105 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV51 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV105 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[809]) ).

thf(822,plain,
    ! [SV132: $i,SV107: $i,SV54: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV54 @ alive )
                | ( ( index @ ldr @ ( host @ SV54 ) )
                 != ( host @ SV54 ) ) )
          | ( ( index @ status @ ( host @ SV54 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV107 ) @ ( queue @ ( host @ SV132 ) ) )
        = $false )
      | ( ( setIn @ SV132 @ alive )
        = $false )
      | ( ( ( host @ SV107 )
          = ( host @ SV54 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[810]) ).

thf(823,plain,
    ! [SV112: $i,SV133: $i,SV59: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV59 @ alive )
                | ( ( index @ ldr @ ( host @ SV59 ) )
                 != ( host @ SV59 ) ) )
          | ( ( index @ status @ ( host @ SV59 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Ack @ SV133 @ SV112 ) @ ( queue @ ( host @ SV133 ) ) )
        = $false )
      | ( ( setIn @ SV133 @ alive )
        = $false )
      | ( ( ( host @ SV112 )
          = ( host @ SV59 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[811]) ).

thf(824,plain,
    ! [SV118: $i,SV65: $i,SV137: $i] :
      ( ( ( leq @ ( index @ pendack @ ( host @ SV137 ) ) @ ( host @ SV65 ) )
        = $true )
      | ( ( ~ ( setIn @ SV137 @ alive ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Halt @ SV137 ) @ ( queue @ ( host @ SV118 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV137 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV65 @ alive )
                      | ( ( index @ ldr @ ( host @ SV65 ) )
                       != ( host @ SV65 ) ) )
                | ( ( index @ status @ ( host @ SV65 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[812]) ).

thf(825,plain,
    ! [SV82: $i,SV26: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV26 @ alive )
              | ~ ( setIn @ SV82 @ alive ) ) )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV26 ) )
         != ( host @ SV26 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV26 ) )
         != norm )
        = $true )
      | ( ( ( index @ status @ ( host @ SV82 ) )
         != norm )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV82 ) )
         != ( host @ SV82 ) )
        = $true )
      | ( ( SV82 = SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[813]) ).

thf(826,plain,
    ! [SV85: $i,SV29: $i,SV123: $i] :
      ( ( ( ~ ~ ( ~ ~ ( leq @ ( host @ SV123 ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
                | ~ ( leq @ ( s @ zero ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) ) ) )
        = $false )
      | ( ( ~ ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[814]) ).

thf(827,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ( setIn @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) @ ( index @ down @ ( host @ SV123 ) ) )
          | ( ( sK9_SY413 @ SV29 @ SV85 @ SV123 )
            = ( host @ SV85 ) ) )
        = $false )
      | ( ( ~ ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[814]) ).

thf(828,plain,
    ( ( ~ ( leq @ ( s @ ( host @ sK3_SY149 ) ) @ ( host @ sK5_SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[815]) ).

thf(829,plain,
    ( ( setIn @ sK7_SY416 @ alive )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[816]) ).

thf(830,plain,
    ( ( setIn @ sK5_SX0 @ alive )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[817]) ).

thf(831,plain,
    ( ( ( index @ ldr @ ( host @ sK5_SX0 ) )
      = ( host @ sK5_SX0 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[818]) ).

thf(832,plain,
    ! [SV95: $i,SV39: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV39 @ alive )
                | ( ( index @ ldr @ ( host @ SV39 ) )
                 != ( host @ SV39 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV39 ) )
         != norm )
        = $true )
      | ( ( setIn @ SV95 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV39 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[819]) ).

thf(833,plain,
    ! [SV99: $i,SV43: $i] :
      ( ( ( ~ ( leq @ ( host @ SV43 ) @ ( host @ SV99 ) ) )
        = $false )
      | ( ( ~ ( setIn @ SV43 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV99 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV43 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV99 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV43 ) ) @ ( index @ pendack @ ( host @ SV99 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[820]) ).

thf(834,plain,
    ! [SV105: $i,SV51: $i] :
      ( ( ( ~ ( leq @ ( host @ SV51 ) @ ( host @ SV105 ) ) )
        = $false )
      | ( ( ~ ( setIn @ SV51 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV105 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV51 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV105 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[821]) ).

thf(835,plain,
    ! [SV132: $i,SV107: $i,SV54: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV54 @ alive )
                | ( ( index @ ldr @ ( host @ SV54 ) )
                 != ( host @ SV54 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV54 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV107 ) @ ( queue @ ( host @ SV132 ) ) )
        = $false )
      | ( ( setIn @ SV132 @ alive )
        = $false )
      | ( ( ( host @ SV107 )
          = ( host @ SV54 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[822]) ).

thf(836,plain,
    ! [SV112: $i,SV133: $i,SV59: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV59 @ alive )
                | ( ( index @ ldr @ ( host @ SV59 ) )
                 != ( host @ SV59 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV59 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Ack @ SV133 @ SV112 ) @ ( queue @ ( host @ SV133 ) ) )
        = $false )
      | ( ( setIn @ SV133 @ alive )
        = $false )
      | ( ( ( host @ SV112 )
          = ( host @ SV59 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[823]) ).

thf(837,plain,
    ! [SV118: $i,SV65: $i,SV137: $i] :
      ( ( ( setIn @ SV137 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV137 ) ) @ ( host @ SV65 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Halt @ SV137 ) @ ( queue @ ( host @ SV118 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV137 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV65 @ alive )
                      | ( ( index @ ldr @ ( host @ SV65 ) )
                       != ( host @ SV65 ) ) )
                | ( ( index @ status @ ( host @ SV65 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[824]) ).

thf(838,plain,
    ! [SV82: $i,SV26: $i] :
      ( ( ( ~ ( setIn @ SV26 @ alive )
          | ~ ( setIn @ SV82 @ alive ) )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV26 ) )
         != ( host @ SV26 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV26 ) )
         != norm )
        = $true )
      | ( ( ( index @ status @ ( host @ SV82 ) )
         != norm )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV82 ) )
         != ( host @ SV82 ) )
        = $true )
      | ( ( SV82 = SV26 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[825]) ).

thf(839,plain,
    ! [SV85: $i,SV29: $i,SV123: $i] :
      ( ( ( ~ ( ~ ~ ( leq @ ( host @ SV123 ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
              | ~ ( leq @ ( s @ zero ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) ) ) )
        = $true )
      | ( ( ~ ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[826]) ).

thf(840,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( setIn @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) @ ( index @ down @ ( host @ SV123 ) ) )
        = $false )
      | ( ( ~ ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[827]) ).

thf(841,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ( sK9_SY413 @ SV29 @ SV85 @ SV123 )
          = ( host @ SV85 ) )
        = $false )
      | ( ( ~ ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[827]) ).

thf(842,plain,
    ( ( leq @ ( s @ ( host @ sK3_SY149 ) ) @ ( host @ sK5_SX0 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[828]) ).

thf(843,plain,
    ! [SV95: $i,SV39: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV39 @ alive )
              | ( ( index @ ldr @ ( host @ SV39 ) )
               != ( host @ SV39 ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV39 ) )
         != norm )
        = $true )
      | ( ( setIn @ SV95 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV39 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[832]) ).

thf(844,plain,
    ! [SV99: $i,SV43: $i] :
      ( ( ( leq @ ( host @ SV43 ) @ ( host @ SV99 ) )
        = $true )
      | ( ( ~ ( setIn @ SV43 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV99 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV43 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV99 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV43 ) ) @ ( index @ pendack @ ( host @ SV99 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[833]) ).

thf(845,plain,
    ! [SV105: $i,SV51: $i] :
      ( ( ( leq @ ( host @ SV51 ) @ ( host @ SV105 ) )
        = $true )
      | ( ( ~ ( setIn @ SV51 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV105 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV51 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV105 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[834]) ).

thf(846,plain,
    ! [SV132: $i,SV107: $i,SV54: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV54 @ alive )
              | ( ( index @ ldr @ ( host @ SV54 ) )
               != ( host @ SV54 ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV54 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV107 ) @ ( queue @ ( host @ SV132 ) ) )
        = $false )
      | ( ( setIn @ SV132 @ alive )
        = $false )
      | ( ( ( host @ SV107 )
          = ( host @ SV54 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[835]) ).

thf(847,plain,
    ! [SV112: $i,SV133: $i,SV59: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV59 @ alive )
              | ( ( index @ ldr @ ( host @ SV59 ) )
               != ( host @ SV59 ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV59 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Ack @ SV133 @ SV112 ) @ ( queue @ ( host @ SV133 ) ) )
        = $false )
      | ( ( setIn @ SV133 @ alive )
        = $false )
      | ( ( ( host @ SV112 )
          = ( host @ SV59 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[836]) ).

thf(848,plain,
    ! [SV65: $i,SV118: $i,SV137: $i] :
      ( ( ( elem @ ( m_Halt @ SV137 ) @ ( queue @ ( host @ SV118 ) ) )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV137 ) ) @ ( host @ SV65 ) )
        = $true )
      | ( ( setIn @ SV137 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV137 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV65 @ alive )
                      | ( ( index @ ldr @ ( host @ SV65 ) )
                       != ( host @ SV65 ) ) )
                | ( ( index @ status @ ( host @ SV65 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[837]) ).

thf(849,plain,
    ! [SV82: $i,SV26: $i] :
      ( ( ( ~ ( setIn @ SV26 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV82 @ alive ) )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV26 ) )
         != ( host @ SV26 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV26 ) )
         != norm )
        = $true )
      | ( ( ( index @ status @ ( host @ SV82 ) )
         != norm )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV82 ) )
         != ( host @ SV82 ) )
        = $true )
      | ( ( SV82 = SV26 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[838]) ).

thf(850,plain,
    ! [SV85: $i,SV29: $i,SV123: $i] :
      ( ( ( ~ ~ ( leq @ ( host @ SV123 ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
          | ~ ( leq @ ( s @ zero ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) ) )
        = $false )
      | ( ( ~ ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[839]) ).

thf(851,plain,
    ! [SV85: $i,SV29: $i,SV123: $i] :
      ( ( ( ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
        = $false )
      | ( ( setIn @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) @ ( index @ down @ ( host @ SV123 ) ) )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[840]) ).

thf(852,plain,
    ! [SV85: $i,SV29: $i,SV123: $i] :
      ( ( ( ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
        = $false )
      | ( ( ( sK9_SY413 @ SV29 @ SV85 @ SV123 )
          = ( host @ SV85 ) )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[841]) ).

thf(853,plain,
    ! [SV95: $i,SV39: $i] :
      ( ( ( ~ ( setIn @ SV39 @ alive )
          | ( ( index @ ldr @ ( host @ SV39 ) )
           != ( host @ SV39 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV39 ) )
         != norm )
        = $true )
      | ( ( setIn @ SV95 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV39 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[843]) ).

thf(854,plain,
    ! [SV99: $i,SV43: $i] :
      ( ( ( setIn @ SV43 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV43 ) @ ( host @ SV99 ) )
        = $true )
      | ( ( ~ ( setIn @ SV99 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV43 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV99 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV43 ) ) @ ( index @ pendack @ ( host @ SV99 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[844]) ).

thf(855,plain,
    ! [SV105: $i,SV51: $i] :
      ( ( ( setIn @ SV51 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV51 ) @ ( host @ SV105 ) )
        = $true )
      | ( ( ~ ( setIn @ SV105 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV51 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV105 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[845]) ).

thf(856,plain,
    ! [SV132: $i,SV107: $i,SV54: $i] :
      ( ( ( ~ ( setIn @ SV54 @ alive )
          | ( ( index @ ldr @ ( host @ SV54 ) )
           != ( host @ SV54 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV54 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV107 ) @ ( queue @ ( host @ SV132 ) ) )
        = $false )
      | ( ( setIn @ SV132 @ alive )
        = $false )
      | ( ( ( host @ SV107 )
          = ( host @ SV54 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[846]) ).

thf(857,plain,
    ! [SV112: $i,SV133: $i,SV59: $i] :
      ( ( ( ~ ( setIn @ SV59 @ alive )
          | ( ( index @ ldr @ ( host @ SV59 ) )
           != ( host @ SV59 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV59 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Ack @ SV133 @ SV112 ) @ ( queue @ ( host @ SV133 ) ) )
        = $false )
      | ( ( setIn @ SV133 @ alive )
        = $false )
      | ( ( ( host @ SV112 )
          = ( host @ SV59 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[847]) ).

thf(858,plain,
    ! [SV118: $i,SV65: $i,SV137: $i] :
      ( ( ( ( index @ status @ ( host @ SV137 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV137 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV137 ) ) @ ( host @ SV65 ) )
        = $true )
      | ( ( elem @ ( m_Halt @ SV137 ) @ ( queue @ ( host @ SV118 ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV65 @ alive )
                      | ( ( index @ ldr @ ( host @ SV65 ) )
                       != ( host @ SV65 ) ) )
                | ( ( index @ status @ ( host @ SV65 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[848]) ).

thf(859,plain,
    ! [SV82: $i,SV26: $i] :
      ( ( ( setIn @ SV26 @ alive )
        = $false )
      | ( ( ~ ( setIn @ SV82 @ alive ) )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV26 ) )
         != ( host @ SV26 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV26 ) )
         != norm )
        = $true )
      | ( ( ( index @ status @ ( host @ SV82 ) )
         != norm )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV82 ) )
         != ( host @ SV82 ) )
        = $true )
      | ( ( SV82 = SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[849]) ).

thf(860,plain,
    ! [SV85: $i,SV29: $i,SV123: $i] :
      ( ( ( ~ ~ ( leq @ ( host @ SV123 ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) ) )
        = $false )
      | ( ( ~ ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[850]) ).

thf(861,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ~ ( leq @ ( s @ zero ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) ) )
        = $false )
      | ( ( ~ ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[850]) ).

thf(862,plain,
    ! [SV85: $i,SV29: $i,SV123: $i] :
      ( ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( setIn @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) @ ( index @ down @ ( host @ SV123 ) ) )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[851]) ).

thf(863,plain,
    ! [SV85: $i,SV29: $i,SV123: $i] :
      ( ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( sK9_SY413 @ SV29 @ SV85 @ SV123 )
          = ( host @ SV85 ) )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[852]) ).

thf(864,plain,
    ! [SV95: $i,SV39: $i] :
      ( ( ( ~ ( setIn @ SV39 @ alive ) )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV39 ) )
         != ( host @ SV39 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV39 ) )
         != norm )
        = $true )
      | ( ( setIn @ SV95 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV39 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[853]) ).

thf(865,plain,
    ! [SV43: $i,SV99: $i] :
      ( ( ( setIn @ SV99 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV43 ) @ ( host @ SV99 ) )
        = $true )
      | ( ( setIn @ SV43 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV43 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV99 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV43 ) ) @ ( index @ pendack @ ( host @ SV99 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[854]) ).

thf(866,plain,
    ! [SV51: $i,SV105: $i] :
      ( ( ( setIn @ SV105 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV51 ) @ ( host @ SV105 ) )
        = $true )
      | ( ( setIn @ SV51 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV51 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV105 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[855]) ).

thf(867,plain,
    ! [SV132: $i,SV107: $i,SV54: $i] :
      ( ( ( ~ ( setIn @ SV54 @ alive ) )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV54 ) )
         != ( host @ SV54 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV54 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV107 ) @ ( queue @ ( host @ SV132 ) ) )
        = $false )
      | ( ( setIn @ SV132 @ alive )
        = $false )
      | ( ( ( host @ SV107 )
          = ( host @ SV54 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[856]) ).

thf(868,plain,
    ! [SV112: $i,SV133: $i,SV59: $i] :
      ( ( ( ~ ( setIn @ SV59 @ alive ) )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV59 ) )
         != ( host @ SV59 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV59 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Ack @ SV133 @ SV112 ) @ ( queue @ ( host @ SV133 ) ) )
        = $false )
      | ( ( setIn @ SV133 @ alive )
        = $false )
      | ( ( ( host @ SV112 )
          = ( host @ SV59 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[857]) ).

thf(869,plain,
    ! [SV118: $i,SV137: $i,SV65: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( setIn @ SV65 @ alive )
                    | ( ( index @ ldr @ ( host @ SV65 ) )
                     != ( host @ SV65 ) ) )
              | ( ( index @ status @ ( host @ SV65 ) )
               != norm ) ) )
        = $false )
      | ( ( elem @ ( m_Halt @ SV137 ) @ ( queue @ ( host @ SV118 ) ) )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV137 ) ) @ ( host @ SV65 ) )
        = $true )
      | ( ( setIn @ SV137 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV137 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[858]) ).

thf(870,plain,
    ! [SV26: $i,SV82: $i] :
      ( ( ( setIn @ SV82 @ alive )
        = $false )
      | ( ( setIn @ SV26 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV26 ) )
         != ( host @ SV26 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV26 ) )
         != norm )
        = $true )
      | ( ( ( index @ status @ ( host @ SV82 ) )
         != norm )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV82 ) )
         != ( host @ SV82 ) )
        = $true )
      | ( ( SV82 = SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[859]) ).

thf(871,plain,
    ! [SV85: $i,SV29: $i,SV123: $i] :
      ( ( ( ~ ( leq @ ( host @ SV123 ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) ) )
        = $true )
      | ( ( ~ ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[860]) ).

thf(872,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( leq @ ( s @ zero ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $true )
      | ( ( ~ ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[861]) ).

thf(873,plain,
    ! [SV29: $i,SV123: $i,SV85: $i] :
      ( ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( setIn @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) @ ( index @ down @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[862]) ).

thf(874,plain,
    ! [SV29: $i,SV123: $i,SV85: $i] :
      ( ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( ( sK9_SY413 @ SV29 @ SV85 @ SV123 )
          = ( host @ SV85 ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[863]) ).

thf(875,plain,
    ! [SV95: $i,SV39: $i] :
      ( ( ( setIn @ SV39 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV39 ) )
         != ( host @ SV39 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV39 ) )
         != norm )
        = $true )
      | ( ( setIn @ SV95 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV39 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[864]) ).

thf(876,plain,
    ! [SV99: $i,SV43: $i] :
      ( ( ( ( index @ status @ ( host @ SV43 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV43 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV43 ) @ ( host @ SV99 ) )
        = $true )
      | ( ( setIn @ SV99 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV99 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV43 ) ) @ ( index @ pendack @ ( host @ SV99 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[865]) ).

thf(877,plain,
    ! [SV105: $i,SV51: $i] :
      ( ( ( ( index @ status @ ( host @ SV51 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV51 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV51 ) @ ( host @ SV105 ) )
        = $true )
      | ( ( setIn @ SV105 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV105 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[866]) ).

thf(878,plain,
    ! [SV132: $i,SV107: $i,SV54: $i] :
      ( ( ( setIn @ SV54 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV54 ) )
         != ( host @ SV54 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV54 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV107 ) @ ( queue @ ( host @ SV132 ) ) )
        = $false )
      | ( ( setIn @ SV132 @ alive )
        = $false )
      | ( ( ( host @ SV107 )
          = ( host @ SV54 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[867]) ).

thf(879,plain,
    ! [SV112: $i,SV133: $i,SV59: $i] :
      ( ( ( setIn @ SV59 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV59 ) )
         != ( host @ SV59 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV59 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Ack @ SV133 @ SV112 ) @ ( queue @ ( host @ SV133 ) ) )
        = $false )
      | ( ( setIn @ SV133 @ alive )
        = $false )
      | ( ( ( host @ SV112 )
          = ( host @ SV59 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[868]) ).

thf(880,plain,
    ! [SV118: $i,SV137: $i,SV65: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV65 @ alive )
                | ( ( index @ ldr @ ( host @ SV65 ) )
                 != ( host @ SV65 ) ) )
          | ( ( index @ status @ ( host @ SV65 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Halt @ SV137 ) @ ( queue @ ( host @ SV118 ) ) )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV137 ) ) @ ( host @ SV65 ) )
        = $true )
      | ( ( setIn @ SV137 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV137 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[869]) ).

thf(881,plain,
    ! [SV82: $i,SV26: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV26 ) )
          = ( host @ SV26 ) )
        = $false )
      | ( ( setIn @ SV26 @ alive )
        = $false )
      | ( ( setIn @ SV82 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV26 ) )
         != norm )
        = $true )
      | ( ( ( index @ status @ ( host @ SV82 ) )
         != norm )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV82 ) )
         != ( host @ SV82 ) )
        = $true )
      | ( ( SV82 = SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[870]) ).

thf(882,plain,
    ! [SV85: $i,SV29: $i,SV123: $i] :
      ( ( ( leq @ ( host @ SV123 ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $false )
      | ( ( ~ ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[871]) ).

thf(883,plain,
    ! [SV85: $i,SV29: $i,SV123: $i] :
      ( ( ( ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
        = $false )
      | ( ( leq @ ( s @ zero ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[872]) ).

thf(884,plain,
    ! [SV85: $i,SV29: $i,SV123: $i] :
      ( ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( setIn @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) @ ( index @ down @ ( host @ SV123 ) ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[873]) ).

thf(885,plain,
    ! [SV85: $i,SV29: $i,SV123: $i] :
      ( ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( sK9_SY413 @ SV29 @ SV85 @ SV123 )
          = ( host @ SV85 ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[874]) ).

thf(886,plain,
    ! [SV95: $i,SV39: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV39 ) )
          = ( host @ SV39 ) )
        = $false )
      | ( ( setIn @ SV39 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV39 ) )
         != norm )
        = $true )
      | ( ( setIn @ SV95 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV39 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[875]) ).

thf(887,plain,
    ! [SV43: $i,SV99: $i] :
      ( ( ( ( index @ status @ ( host @ SV99 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV99 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV43 ) @ ( host @ SV99 ) )
        = $true )
      | ( ( setIn @ SV43 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV43 ) )
          = elec_2 )
        = $false )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV43 ) ) @ ( index @ pendack @ ( host @ SV99 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[876]) ).

thf(888,plain,
    ! [SV51: $i,SV105: $i] :
      ( ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV105 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV51 ) @ ( host @ SV105 ) )
        = $true )
      | ( ( setIn @ SV51 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV51 ) )
          = elec_2 )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV105 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[877]) ).

thf(889,plain,
    ! [SV132: $i,SV107: $i,SV54: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV54 ) )
          = ( host @ SV54 ) )
        = $false )
      | ( ( setIn @ SV54 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV54 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV107 ) @ ( queue @ ( host @ SV132 ) ) )
        = $false )
      | ( ( setIn @ SV132 @ alive )
        = $false )
      | ( ( ( host @ SV107 )
          = ( host @ SV54 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[878]) ).

thf(890,plain,
    ! [SV112: $i,SV133: $i,SV59: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV59 ) )
          = ( host @ SV59 ) )
        = $false )
      | ( ( setIn @ SV59 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV59 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Ack @ SV133 @ SV112 ) @ ( queue @ ( host @ SV133 ) ) )
        = $false )
      | ( ( setIn @ SV133 @ alive )
        = $false )
      | ( ( ( host @ SV112 )
          = ( host @ SV59 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[879]) ).

thf(891,plain,
    ! [SV118: $i,SV137: $i,SV65: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV65 @ alive )
                | ( ( index @ ldr @ ( host @ SV65 ) )
                 != ( host @ SV65 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV65 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Halt @ SV137 ) @ ( queue @ ( host @ SV118 ) ) )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV137 ) ) @ ( host @ SV65 ) )
        = $true )
      | ( ( setIn @ SV137 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV137 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[880]) ).

thf(892,plain,
    ! [SV82: $i,SV26: $i] :
      ( ( ( ( index @ status @ ( host @ SV26 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV82 @ alive )
        = $false )
      | ( ( setIn @ SV26 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV26 ) )
          = ( host @ SV26 ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV82 ) )
         != norm )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV82 ) )
         != ( host @ SV82 ) )
        = $true )
      | ( ( SV82 = SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[881]) ).

thf(893,plain,
    ! [SV85: $i,SV29: $i,SV123: $i] :
      ( ( ( ~ ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[882]) ).

thf(894,plain,
    ! [SV85: $i,SV29: $i,SV123: $i] :
      ( ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( leq @ ( s @ zero ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[883]) ).

thf(895,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                    | ( ( index @ ldr @ ( host @ SV29 ) )
                     != ( host @ SV29 ) ) )
              | ( ( index @ status @ ( host @ SV29 ) )
               != norm ) ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( setIn @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) @ ( index @ down @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[884]) ).

thf(896,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                    | ( ( index @ ldr @ ( host @ SV29 ) )
                     != ( host @ SV29 ) ) )
              | ( ( index @ status @ ( host @ SV29 ) )
               != norm ) ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( ( sK9_SY413 @ SV29 @ SV85 @ SV123 )
          = ( host @ SV85 ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[885]) ).

thf(897,plain,
    ! [SV95: $i,SV39: $i] :
      ( ( ( ( index @ status @ ( host @ SV39 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV39 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV39 ) )
          = ( host @ SV39 ) )
        = $false )
      | ( ( setIn @ SV95 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV39 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[886]) ).

thf(898,plain,
    ! [SV99: $i,SV43: $i] :
      ( ( ( leq @ ( index @ pendack @ ( host @ SV43 ) ) @ ( index @ pendack @ ( host @ SV99 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV43 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV43 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV43 ) @ ( host @ SV99 ) )
        = $true )
      | ( ( setIn @ SV99 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV99 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[887]) ).

thf(899,plain,
    ! [SV132: $i,SV107: $i,SV54: $i] :
      ( ( ( ( index @ status @ ( host @ SV54 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV54 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV54 ) )
          = ( host @ SV54 ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV107 ) @ ( queue @ ( host @ SV132 ) ) )
        = $false )
      | ( ( setIn @ SV132 @ alive )
        = $false )
      | ( ( ( host @ SV107 )
          = ( host @ SV54 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[889]) ).

thf(900,plain,
    ! [SV112: $i,SV133: $i,SV59: $i] :
      ( ( ( ( index @ status @ ( host @ SV59 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV59 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV59 ) )
          = ( host @ SV59 ) )
        = $false )
      | ( ( elem @ ( m_Ack @ SV133 @ SV112 ) @ ( queue @ ( host @ SV133 ) ) )
        = $false )
      | ( ( setIn @ SV133 @ alive )
        = $false )
      | ( ( ( host @ SV112 )
          = ( host @ SV59 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[890]) ).

thf(901,plain,
    ! [SV118: $i,SV137: $i,SV65: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV65 @ alive )
              | ( ( index @ ldr @ ( host @ SV65 ) )
               != ( host @ SV65 ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV65 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Halt @ SV137 ) @ ( queue @ ( host @ SV118 ) ) )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV137 ) ) @ ( host @ SV65 ) )
        = $true )
      | ( ( setIn @ SV137 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV137 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[891]) ).

thf(902,plain,
    ! [SV26: $i,SV82: $i] :
      ( ( ( ( index @ status @ ( host @ SV82 ) )
          = norm )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV26 ) )
          = ( host @ SV26 ) )
        = $false )
      | ( ( setIn @ SV26 @ alive )
        = $false )
      | ( ( setIn @ SV82 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV26 ) )
          = norm )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV82 ) )
         != ( host @ SV82 ) )
        = $true )
      | ( ( SV82 = SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[892]) ).

thf(903,plain,
    ! [SV85: $i,SV29: $i,SV123: $i] :
      ( ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( leq @ ( host @ SV123 ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[893]) ).

thf(904,plain,
    ! [SV29: $i,SV123: $i,SV85: $i] :
      ( ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( s @ zero ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $true )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[894]) ).

thf(905,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                | ( ( index @ ldr @ ( host @ SV29 ) )
                 != ( host @ SV29 ) ) )
          | ( ( index @ status @ ( host @ SV29 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( setIn @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) @ ( index @ down @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[895]) ).

thf(906,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                | ( ( index @ ldr @ ( host @ SV29 ) )
                 != ( host @ SV29 ) ) )
          | ( ( index @ status @ ( host @ SV29 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( ( sK9_SY413 @ SV29 @ SV85 @ SV123 )
          = ( host @ SV85 ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[896]) ).

thf(907,plain,
    ! [SV118: $i,SV137: $i,SV65: $i] :
      ( ( ( ~ ( setIn @ SV65 @ alive )
          | ( ( index @ ldr @ ( host @ SV65 ) )
           != ( host @ SV65 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV65 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Halt @ SV137 ) @ ( queue @ ( host @ SV118 ) ) )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV137 ) ) @ ( host @ SV65 ) )
        = $true )
      | ( ( setIn @ SV137 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV137 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[901]) ).

thf(908,plain,
    ! [SV26: $i,SV82: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV82 ) )
          = ( host @ SV82 ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV26 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV82 @ alive )
        = $false )
      | ( ( setIn @ SV26 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV26 ) )
          = ( host @ SV26 ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV82 ) )
          = norm )
        = $false )
      | ( ( SV82 = SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[902]) ).

thf(909,plain,
    ! [SV29: $i,SV123: $i,SV85: $i] :
      ( ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[903]) ).

thf(910,plain,
    ! [SV85: $i,SV29: $i,SV123: $i] :
      ( ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( leq @ ( s @ zero ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[904]) ).

thf(911,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                | ( ( index @ ldr @ ( host @ SV29 ) )
                 != ( host @ SV29 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV29 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( setIn @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) @ ( index @ down @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[905]) ).

thf(912,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                | ( ( index @ ldr @ ( host @ SV29 ) )
                 != ( host @ SV29 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV29 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( ( sK9_SY413 @ SV29 @ SV85 @ SV123 )
          = ( host @ SV85 ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[906]) ).

thf(913,plain,
    ! [SV118: $i,SV137: $i,SV65: $i] :
      ( ( ( ~ ( setIn @ SV65 @ alive ) )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV65 ) )
         != ( host @ SV65 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV65 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Halt @ SV137 ) @ ( queue @ ( host @ SV118 ) ) )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV137 ) ) @ ( host @ SV65 ) )
        = $true )
      | ( ( setIn @ SV137 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV137 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[907]) ).

thf(914,plain,
    ! [SV85: $i,SV29: $i,SV123: $i] :
      ( ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( leq @ ( host @ SV123 ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                      | ( ( index @ ldr @ ( host @ SV29 ) )
                       != ( host @ SV29 ) ) )
                | ( ( index @ status @ ( host @ SV29 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[909]) ).

thf(915,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                    | ( ( index @ ldr @ ( host @ SV29 ) )
                     != ( host @ SV29 ) ) )
              | ( ( index @ status @ ( host @ SV29 ) )
               != norm ) ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( s @ zero ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $true )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[910]) ).

thf(916,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV29 @ alive )
              | ( ( index @ ldr @ ( host @ SV29 ) )
               != ( host @ SV29 ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV29 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( setIn @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) @ ( index @ down @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[911]) ).

thf(917,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV29 @ alive )
              | ( ( index @ ldr @ ( host @ SV29 ) )
               != ( host @ SV29 ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV29 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( ( sK9_SY413 @ SV29 @ SV85 @ SV123 )
          = ( host @ SV85 ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[912]) ).

thf(918,plain,
    ! [SV118: $i,SV137: $i,SV65: $i] :
      ( ( ( setIn @ SV65 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV65 ) )
         != ( host @ SV65 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV65 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Halt @ SV137 ) @ ( queue @ ( host @ SV118 ) ) )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV137 ) ) @ ( host @ SV65 ) )
        = $true )
      | ( ( setIn @ SV137 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV137 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[913]) ).

thf(919,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                    | ( ( index @ ldr @ ( host @ SV29 ) )
                     != ( host @ SV29 ) ) )
              | ( ( index @ status @ ( host @ SV29 ) )
               != norm ) ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[914]) ).

thf(920,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                | ( ( index @ ldr @ ( host @ SV29 ) )
                 != ( host @ SV29 ) ) )
          | ( ( index @ status @ ( host @ SV29 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( s @ zero ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $true )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[915]) ).

thf(921,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ~ ( setIn @ SV29 @ alive )
          | ( ( index @ ldr @ ( host @ SV29 ) )
           != ( host @ SV29 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV29 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( setIn @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) @ ( index @ down @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[916]) ).

thf(922,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ~ ( setIn @ SV29 @ alive )
          | ( ( index @ ldr @ ( host @ SV29 ) )
           != ( host @ SV29 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV29 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( ( sK9_SY413 @ SV29 @ SV85 @ SV123 )
          = ( host @ SV85 ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[917]) ).

thf(923,plain,
    ! [SV118: $i,SV137: $i,SV65: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV65 ) )
          = ( host @ SV65 ) )
        = $false )
      | ( ( setIn @ SV65 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV65 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Halt @ SV137 ) @ ( queue @ ( host @ SV118 ) ) )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV137 ) ) @ ( host @ SV65 ) )
        = $true )
      | ( ( setIn @ SV137 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV137 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[918]) ).

thf(924,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                | ( ( index @ ldr @ ( host @ SV29 ) )
                 != ( host @ SV29 ) ) )
          | ( ( index @ status @ ( host @ SV29 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[919]) ).

thf(925,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                | ( ( index @ ldr @ ( host @ SV29 ) )
                 != ( host @ SV29 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV29 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( s @ zero ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $true )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[920]) ).

thf(926,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ~ ( setIn @ SV29 @ alive ) )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV29 ) )
         != ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV29 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( setIn @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) @ ( index @ down @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[921]) ).

thf(927,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ~ ( setIn @ SV29 @ alive ) )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV29 ) )
         != ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV29 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( ( sK9_SY413 @ SV29 @ SV85 @ SV123 )
          = ( host @ SV85 ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[922]) ).

thf(928,plain,
    ! [SV118: $i,SV137: $i,SV65: $i] :
      ( ( ( ( index @ status @ ( host @ SV65 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV65 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV65 ) )
          = ( host @ SV65 ) )
        = $false )
      | ( ( elem @ ( m_Halt @ SV137 ) @ ( queue @ ( host @ SV118 ) ) )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV137 ) ) @ ( host @ SV65 ) )
        = $true )
      | ( ( setIn @ SV137 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV137 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[923]) ).

thf(929,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV29 @ alive )
                | ( ( index @ ldr @ ( host @ SV29 ) )
                 != ( host @ SV29 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV29 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[924]) ).

thf(930,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV29 @ alive )
              | ( ( index @ ldr @ ( host @ SV29 ) )
               != ( host @ SV29 ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV29 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( s @ zero ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $true )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[925]) ).

thf(931,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( setIn @ SV29 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV29 ) )
         != ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV29 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( setIn @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) @ ( index @ down @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[926]) ).

thf(932,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( setIn @ SV29 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV29 ) )
         != ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV29 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( ( sK9_SY413 @ SV29 @ SV85 @ SV123 )
          = ( host @ SV85 ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[927]) ).

thf(933,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV29 @ alive )
              | ( ( index @ ldr @ ( host @ SV29 ) )
               != ( host @ SV29 ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV29 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[929]) ).

thf(934,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ~ ( setIn @ SV29 @ alive )
          | ( ( index @ ldr @ ( host @ SV29 ) )
           != ( host @ SV29 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV29 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( s @ zero ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $true )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[930]) ).

thf(935,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV29 ) )
          = ( host @ SV29 ) )
        = $false )
      | ( ( setIn @ SV29 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV29 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( setIn @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) @ ( index @ down @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[931]) ).

thf(936,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV29 ) )
          = ( host @ SV29 ) )
        = $false )
      | ( ( setIn @ SV29 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV29 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( ( sK9_SY413 @ SV29 @ SV85 @ SV123 )
          = ( host @ SV85 ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[932]) ).

thf(937,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ~ ( setIn @ SV29 @ alive )
          | ( ( index @ ldr @ ( host @ SV29 ) )
           != ( host @ SV29 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV29 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[933]) ).

thf(938,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ~ ( setIn @ SV29 @ alive ) )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV29 ) )
         != ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV29 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( s @ zero ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $true )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[934]) ).

thf(939,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ( index @ status @ ( host @ SV29 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV29 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV29 ) )
          = ( host @ SV29 ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( setIn @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) @ ( index @ down @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[935]) ).

thf(940,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ( index @ status @ ( host @ SV29 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV29 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV29 ) )
          = ( host @ SV29 ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( ( sK9_SY413 @ SV29 @ SV85 @ SV123 )
          = ( host @ SV85 ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[936]) ).

thf(941,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ~ ( setIn @ SV29 @ alive ) )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV29 ) )
         != ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV29 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[937]) ).

thf(942,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( setIn @ SV29 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV29 ) )
         != ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV29 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( s @ zero ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $true )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[938]) ).

thf(943,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( setIn @ SV29 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV29 ) )
         != ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV29 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[941]) ).

thf(944,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV29 ) )
          = ( host @ SV29 ) )
        = $false )
      | ( ( setIn @ SV29 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV29 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( s @ zero ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $true )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[942]) ).

thf(945,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV29 ) )
          = ( host @ SV29 ) )
        = $false )
      | ( ( setIn @ SV29 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV29 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[943]) ).

thf(946,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ( index @ status @ ( host @ SV29 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV29 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV29 ) )
          = ( host @ SV29 ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( s @ zero ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $true )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[944]) ).

thf(947,plain,
    ! [SV123: $i,SV85: $i,SV29: $i] :
      ( ( ( ( index @ status @ ( host @ SV29 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV29 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV29 ) )
          = ( host @ SV29 ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV85 ) @ ( queue @ ( host @ SV123 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( sK9_SY413 @ SV29 @ SV85 @ SV123 ) )
        = $false )
      | ( ( leq @ ( host @ SV123 ) @ ( host @ SV29 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV123 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[945]) ).

thf(948,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[159,947,946,940,939,928,908,900,899,898,897,888,842,831,830,829,802,800,794,792,773,767,753,752,751,750,749,739,738,735,734,725,724,723,720,717,716,715,714,710,709,708,699,698,697,695,694,684,682,678,640,639,637,636,627,626,624,620,600,567,561,555,551,546,542,535,516,515,507,504,496,488,480,478,475,462,459,458,446,443,441,436,435,434,380,378,377,375,374,373,372,352,344,338,336,325,319,313,312,311,308,306,305,302,297,296,295,219,218,214]) ).

thf(949,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[948]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV458+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.16  % Computer : n007.cluster.edu
% 0.09/0.16  % Model    : x86_64 x86_64
% 0.09/0.16  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16  % Memory   : 8046.5625MB
% 0.09/0.16  % OS       : Linux 6.8.0-71-generic
% 0.09/0.17  % CPULimit : 300
% 0.09/0.17  % WCLimit  : 300
% 0.09/0.17  % DateTime : Tue Oct  6 16:29:15 UTC 2026
% 0.09/0.17  % CPUTime  : 
% 0.09/0.17  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 235.95/39.56  
% 235.95/39.56   No.of.Axioms: 57
% 235.95/39.56  
% 235.95/39.56   Length.of.Defs: 0
% 235.95/39.56  
% 235.95/39.56   Contains.Choice.Funs: false
% 235.95/39.56  ....................................
% 235.95/39.56  
% 235.95/39.56  ********************************
% 235.95/39.56  *   All subproblems solved!    *
% 235.95/39.56  ********************************
% 235.95/39.56  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:80,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:948,loop_count:0,foatp_calls:1,translation:fof_full)
% 235.95/39.56  
% 235.95/39.56  %**** Beginning of derivation protocol ****
% 235.95/39.56  % SZS output start CNFRefutation
% See solution above
% 235.95/39.57  
% 235.95/39.57  %**** End of derivation protocol ****
% 235.95/39.57  %**** no. of clauses in derivation: 940 ****
% 235.95/39.57  %**** clause counter: 948 ****
% 235.95/39.57  
% 235.95/39.57  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:80,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:948,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------