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

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : SWV468+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/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n012.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 10:57:51 AM UTC 2026

% Result   : Theorem 126.35s 21.29s
% Output   : CNFRefutation 126.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :   46
% Syntax   : Number of formulae    :  869 ( 447 unt;   0 typ;   0 def)
%            Number of atoms       : 8088 (3871 equ;   0 cnn)
%            Maximal formula atoms :  109 (   9 avg)
%            Number of connectives : 19741 (3959   ~;2317   |; 653   &;12529   @)
%                                         (  21 <=>; 262  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   49 (  46 usr;  25 con; 0-3 aty)
%            Number of variables   : 2199 (   0   ^;2199   !;   0   ?;2199   :)

% 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_SY127,type,
    sK2_SY127: $i ).

thf(tp_sK3_SY128,type,
    sK3_SY128: $i ).

thf(tp_sK4_SY218,type,
    sK4_SY218: $i ).

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

thf(tp_sK6_SX1,type,
    sK6_SX1: $i ).

thf(tp_sK7_SY397,type,
    sK7_SY397: $i ).

thf(tp_sK8_SY395,type,
    sK8_SY395: $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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_64) ).

thf(3,axiom,
    ! [X: $i,Y: $i] :
      ( ( leq @ X @ Y )
    <=> ( leq @ ( s @ X ) @ ( s @ Y ) ) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_62) ).

thf(5,axiom,
    ! [X: $i,Y: $i] :
      ( ( ( leq @ X @ Y )
        & ( leq @ Y @ X ) )
    <=> ( X = Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).

thf(6,axiom,
    ! [X: $i,Y: $i] :
      ( ( leq @ X @ Y )
      | ( leq @ Y @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).

thf(7,axiom,
    ! [X: $i] : ( leq @ X @ X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).

thf(8,axiom,
    ! [X: $i] :
      ~ ( leq @ ( s @ X ) @ X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).

thf(16,axiom,
    ! [X: $i] :
      ( ( pidMsg @ ( m_Down @ X ) )
      = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_50) ).

thf(19,axiom,
    ! [X: $i,Y: $i,Q: $i] :
      ( ( elem @ X @ ( snoc @ Q @ Y ) )
    <=> ( ( X = Y )
        | ( elem @ X @ Q ) ) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_46) ).

thf(21,axiom,
    ! [X: $i] :
      ~ ( elem @ X @ q_nil ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_44) ).

thf(25,axiom,
    ! [X: $i,Q: $i] :
      ( q_nil
     != ( cons @ X @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).

thf(30,axiom,
    ! [X: $i,Q: $i] :
      ( ( tail @ ( cons @ X @ Q ) )
      = Q ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).

thf(31,axiom,
    ! [X: $i,Q: $i] :
      ( ( head @ ( cons @ X @ Q ) )
      = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).

thf(32,axiom,
    ~ ( setIn @ nil @ alive ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).

thf(33,axiom,
    ! [Pid: $i,Pid2: $i] :
      ( ( ( host @ Pid )
       != ( host @ Pid2 ) )
     => ( Pid != Pid2 ) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_31) ).

thf(36,axiom,
    ! [X: $i,Y: $i] :
      ( ( X != Y )
    <=> ( ( m_Down @ X )
       != ( m_Down @ Y ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).

thf(37,axiom,
    ! [X: $i,Y: $i] :
      ( ( X != Y )
    <=> ( ( m_Ldr @ X )
       != ( m_Ldr @ Y ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).

thf(42,axiom,
    ! [X: $i,Y: $i] :
      ( ( m_Ldr @ X )
     != ( m_NotNorm @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).

thf(43,axiom,
    ! [X: $i,Y: $i] :
      ( ( m_Ldr @ X )
     != ( m_NormQ @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).

thf(44,axiom,
    ! [X: $i,Y: $i] :
      ( ( m_Ldr @ X )
     != ( m_Halt @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).

thf(46,axiom,
    ! [X: $i,Y: $i] :
      ( ( m_Down @ X )
     != ( m_NormQ @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).

thf(47,axiom,
    ! [X: $i,Y: $i] :
      ( ( m_Down @ X )
     != ( m_NotNorm @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).

thf(48,axiom,
    ! [X: $i,Y: $i] :
      ( ( m_Down @ X )
     != ( m_Ldr @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).

thf(49,axiom,
    ! [X: $i,Y: $i] :
      ( ( m_Down @ X )
     != ( m_Halt @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).

thf(51,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( m_Ack @ X @ Y )
     != ( m_NormQ @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).

thf(52,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( m_Ack @ X @ Y )
     != ( m_Ldr @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

thf(53,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( m_Ack @ X @ Y )
     != ( m_NotNorm @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).

thf(54,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( m_Ack @ X @ Y )
     != ( m_Down @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).

thf(55,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( m_Ack @ X @ Y )
     != ( m_Halt @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).

thf(56,axiom,
    norm != wait,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).

thf(57,axiom,
    elec_2 != norm,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_09) ).

thf(58,axiom,
    elec_2 != wait,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_08) ).

thf(59,axiom,
    elec_1 != norm,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_07) ).

thf(60,axiom,
    elec_1 != wait,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_06) ).

thf(61,axiom,
    elec_1 != elec_2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_05) ).

thf(62,axiom,
    ! [P: $i] : ( leq @ ( host @ P ) @ nbr_proc ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_04) ).

thf(63,axiom,
    leq @ ( s @ zero ) @ nbr_proc,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_03) ).

thf(64,axiom,
    ! [P: $i] : ( leq @ ( s @ zero ) @ ( host @ P ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_02) ).

thf(65,axiom,
    ! [P: $i,Q: $i] :
      ( ( ( s @ ( host @ P ) )
        = ( host @ Q ) )
     => ( ( host @ P )
       != ( host @ Q ) ) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom) ).

thf(67,conjecture,
    ! [V: $i,W: $i,X: $i,Y: $i] :
      ( ( ! [Z: $i,Pid0: $i] :
            ( ( elem @ ( m_Ldr @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
           => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ( Pid0 != Z )
              & ( ( host @ Pid0 )
                = ( host @ Z ) ) )
           => ( ~ ( setIn @ Z @ alive )
              | ~ ( setIn @ Pid0 @ alive ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ( setIn @ Pid0 @ alive )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ~ ( elem @ ( m_Ack @ Z @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) )
        & ! [Z: $i] :
            ( ( ( ( ( index @ status @ ( host @ Z ) )
                  = elec_1 )
                | ( ( index @ status @ ( host @ Z ) )
                  = elec_2 ) )
              & ( setIn @ Z @ alive ) )
           => ( ( index @ elid @ ( host @ Z ) )
              = Z ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ( setIn @ Z @ alive )
              & ( setIn @ Pid0 @ alive )
              & ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ( setIn @ Pid0 @ alive )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = norm )
              & ( ( index @ ldr @ ( host @ Pid0 ) )
                = ( host @ Pid0 ) ) )
           => ~ ( ( setIn @ Z @ alive )
                & ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ~ ( leq @ ( host @ Pid0 ) @ ( host @ Z ) )
              & ( setIn @ Z @ alive )
              & ( setIn @ Pid0 @ alive )
              & ( ( host @ Pid0 )
                = ( host @ Pid20 ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ~ ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ 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 @ 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,Pid20: $i,Pid0: $i] :
            ( ( ( setIn @ Z @ alive )
              & ( setIn @ Pid0 @ alive )
              & ( ( host @ Pid0 )
                = ( host @ Pid20 ) )
              & ( ( index @ status @ ( host @ Z ) )
                = elec_2 )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ~ ( elem @ ( m_Ack @ Z @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ( setIn @ Z @ alive )
              & ( setIn @ Pid0 @ alive )
              & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) )
              & ( ( host @ Pid0 )
                = ( host @ Pid20 ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ( setIn @ Pid0 @ alive )
              & ( ( host @ Pid20 )
                = ( host @ Pid0 ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = norm )
              & ( ( index @ ldr @ ( host @ Pid0 ) )
                = ( host @ Pid0 ) ) )
           => ~ ( ( setIn @ Z @ alive )
                & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) ) )
        & ! [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] :
            ( ( ~ ( 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] :
            ( ( ( setIn @ Pid0 @ alive )
              & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
              & ( ( host @ Pid20 )
                = ( host @ Z ) )
              & ( ( 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] :
                    ( ~ ( setIn @ ( host @ Z ) @ setEmpty )
                   => ! [V0: $i] :
                        ( ( ( host @ X )
                          = ( host @ V0 ) )
                       => ! [W0: $i] :
                            ( ( ( host @ X )
                             != ( host @ W0 ) )
                           => ( ( ~ ( leq @ ( index @ pendack @ ( host @ W0 ) ) @ ( host @ V0 ) )
                                & ( setIn @ W0 @ alive )
                                & ( ( index @ status @ ( host @ W0 ) )
                                  = elec_2 ) )
                             => ~ ( ( setIn @ V0 @ alive )
                                  & ( ( host @ X )
                                    = ( host @ V0 ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

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

thf(69,plain,
    ( ( ! [V: $i,W: $i,X: $i,Y: $i] :
          ( ( ! [Z: $i,Pid0: $i] :
                ( ( elem @ ( m_Ldr @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
               => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( Pid0 != Z )
                  & ( ( host @ Pid0 )
                    = ( host @ Z ) ) )
               => ( ~ ( setIn @ Z @ alive )
                  | ~ ( setIn @ Pid0 @ alive ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( elem @ ( m_Ack @ Z @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) )
            & ! [Z: $i] :
                ( ( ( ( ( index @ status @ ( host @ Z ) )
                      = elec_1 )
                    | ( ( index @ status @ ( host @ Z ) )
                      = elec_2 ) )
                  & ( setIn @ Z @ alive ) )
               => ( ( index @ elid @ ( host @ Z ) )
                  = Z ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = norm )
                  & ( ( index @ ldr @ ( host @ Pid0 ) )
                    = ( host @ Pid0 ) ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ~ ( leq @ ( host @ Pid0 ) @ ( host @ Z ) )
                  & ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( host @ Pid0 )
                    = ( host @ Pid20 ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ 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 @ 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,Pid20: $i,Pid0: $i] :
                ( ( ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( host @ Pid0 )
                    = ( host @ Pid20 ) )
                  & ( ( index @ status @ ( host @ Z ) )
                    = elec_2 )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( elem @ ( m_Ack @ Z @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) )
                  & ( ( host @ Pid0 )
                    = ( host @ Pid20 ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( ( host @ Pid20 )
                    = ( host @ Pid0 ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = norm )
                  & ( ( index @ ldr @ ( host @ Pid0 ) )
                    = ( host @ Pid0 ) ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) ) )
            & ! [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] :
                ( ( ~ ( 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] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                  & ( ( host @ Pid20 )
                    = ( host @ Z ) )
                  & ( ( 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] :
                        ( ~ ( setIn @ ( host @ Z ) @ setEmpty )
                       => ! [V0: $i] :
                            ( ( ( host @ X )
                              = ( host @ V0 ) )
                           => ! [W0: $i] :
                                ( ( ( host @ X )
                                 != ( host @ W0 ) )
                               => ( ( ~ ( leq @ ( index @ pendack @ ( host @ W0 ) ) @ ( host @ V0 ) )
                                    & ( setIn @ W0 @ alive )
                                    & ( ( index @ status @ ( host @ W0 ) )
                                      = elec_2 ) )
                                 => ~ ( ( setIn @ V0 @ alive )
                                      & ( ( host @ X )
                                        = ( host @ V0 ) ) ) ) ) ) ) ) ) ) ) ) ) )
    = $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,
    ( ( ! [X: $i] :
          ( ( pidMsg @ ( m_Down @ X ) )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(79,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(80,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(81,plain,
    ( ( ! [X: $i] :
          ~ ( elem @ X @ q_nil ) )
    = $true ),
    inference(unfold_def,[status(thm)],[21]) ).

thf(82,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(83,plain,
    ( ( ! [X: $i,Q: $i] :
          ( q_nil
         != ( cons @ X @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(84,plain,
    ( ( ! [X: $i,Q: $i] :
          ( ( tail @ ( cons @ X @ Q ) )
          = Q ) )
    = $true ),
    inference(unfold_def,[status(thm)],[30]) ).

thf(85,plain,
    ( ( ! [X: $i,Q: $i] :
          ( ( head @ ( cons @ X @ Q ) )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(86,plain,
    ( ( ~ ( setIn @ nil @ alive ) )
    = $true ),
    inference(unfold_def,[status(thm)],[32]) ).

thf(87,plain,
    ( ( ! [Pid: $i,Pid2: $i] :
          ( ( ( host @ Pid )
           != ( host @ Pid2 ) )
         => ( Pid != Pid2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[33]) ).

thf(88,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(89,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(90,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
        <=> ( ( m_Down @ X )
           != ( m_Down @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[36]) ).

thf(91,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
        <=> ( ( m_Ldr @ X )
           != ( m_Ldr @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[37]) ).

thf(92,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Ldr @ X )
         != ( m_NotNorm @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[42]) ).

thf(93,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Ldr @ X )
         != ( m_NormQ @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[43]) ).

thf(94,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Ldr @ X )
         != ( m_Halt @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[44]) ).

thf(95,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_NormQ @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[46]) ).

thf(96,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_NotNorm @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[47]) ).

thf(97,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_Ldr @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[48]) ).

thf(98,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_Halt @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[49]) ).

thf(99,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_NormQ @ Z ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[51]) ).

thf(100,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_Ldr @ Z ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[52]) ).

thf(101,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_NotNorm @ Z ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[53]) ).

thf(102,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_Down @ Z ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[54]) ).

thf(103,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_Halt @ Z ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[55]) ).

thf(104,plain,
    ( ( norm != wait )
    = $true ),
    inference(unfold_def,[status(thm)],[56]) ).

thf(105,plain,
    ( ( elec_2 != norm )
    = $true ),
    inference(unfold_def,[status(thm)],[57]) ).

thf(106,plain,
    ( ( elec_2 != wait )
    = $true ),
    inference(unfold_def,[status(thm)],[58]) ).

thf(107,plain,
    ( ( elec_1 != norm )
    = $true ),
    inference(unfold_def,[status(thm)],[59]) ).

thf(108,plain,
    ( ( elec_1 != wait )
    = $true ),
    inference(unfold_def,[status(thm)],[60]) ).

thf(109,plain,
    ( ( elec_1 != elec_2 )
    = $true ),
    inference(unfold_def,[status(thm)],[61]) ).

thf(110,plain,
    ( ( ! [P: $i] : ( leq @ ( host @ P ) @ nbr_proc ) )
    = $true ),
    inference(unfold_def,[status(thm)],[62]) ).

thf(111,plain,
    ( ( leq @ ( s @ zero ) @ nbr_proc )
    = $true ),
    inference(unfold_def,[status(thm)],[63]) ).

thf(112,plain,
    ( ( ! [P: $i] : ( leq @ ( s @ zero ) @ ( host @ P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[64]) ).

thf(113,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( ( s @ ( host @ P ) )
            = ( host @ Q ) )
         => ( ( host @ P )
           != ( host @ Q ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[65]) ).

thf(114,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(115,plain,
    ( ( ! [SY127: $i,SY128: $i,SY129: $i] :
          ( ( ! [Z: $i,Pid0: $i] :
                ( ( elem @ ( m_Ldr @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
               => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( Pid0 != Z )
                  & ( ( host @ Pid0 )
                    = ( host @ Z ) ) )
               => ( ~ ( setIn @ Z @ alive )
                  | ~ ( setIn @ Pid0 @ alive ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( elem @ ( m_Ack @ Z @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) )
            & ! [Z: $i] :
                ( ( ( ( ( index @ status @ ( host @ Z ) )
                      = elec_1 )
                    | ( ( index @ status @ ( host @ Z ) )
                      = elec_2 ) )
                  & ( setIn @ Z @ alive ) )
               => ( ( index @ elid @ ( host @ Z ) )
                  = Z ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = norm )
                  & ( ( index @ ldr @ ( host @ Pid0 ) )
                    = ( host @ Pid0 ) ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ~ ( leq @ ( host @ Pid0 ) @ ( host @ Z ) )
                  & ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( host @ Pid0 )
                    = ( host @ Pid20 ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ 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 @ 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,Pid20: $i,Pid0: $i] :
                ( ( ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( host @ Pid0 )
                    = ( host @ Pid20 ) )
                  & ( ( index @ status @ ( host @ Z ) )
                    = elec_2 )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( elem @ ( m_Ack @ Z @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) )
                  & ( ( host @ Pid0 )
                    = ( host @ Pid20 ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( ( host @ Pid20 )
                    = ( host @ Pid0 ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = norm )
                  & ( ( index @ ldr @ ( host @ Pid0 ) )
                    = ( host @ Pid0 ) ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) ) )
            & ! [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] :
                ( ( ~ ( 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] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                  & ( ( host @ Pid20 )
                    = ( host @ Z ) )
                  & ( ( 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 @ SY128 ) )
              = ( cons @ ( m_Down @ SY129 ) @ sK1_V ) ) )
         => ( ( setIn @ SY128 @ alive )
           => ( ~ ( leq @ ( host @ SY128 ) @ ( host @ SY129 ) )
             => ( ~ ( ( ( ( index @ ldr @ ( host @ SY128 ) )
                        = ( host @ SY129 ) )
                      & ( ( index @ status @ ( host @ SY128 ) )
                        = norm ) )
                    | ( ( ( index @ status @ ( host @ SY128 ) )
                        = wait )
                      & ( ( host @ SY129 )
                        = ( host @ ( index @ elid @ ( host @ SY128 ) ) ) ) ) )
               => ( ( ! [Z: $i] :
                        ( ( ~ ( leq @ ( host @ SY128 ) @ Z )
                          & ( leq @ ( s @ zero ) @ Z ) )
                       => ( ( setIn @ Z @ ( index @ down @ ( host @ SY128 ) ) )
                          | ( Z
                            = ( host @ SY129 ) ) ) )
                    & ( ( index @ status @ ( host @ SY128 ) )
                      = elec_1 ) )
                 => ( ( leq @ nbr_proc @ ( host @ SY128 ) )
                   => ! [Z: $i] :
                        ( ~ ( setIn @ ( host @ Z ) @ setEmpty )
                       => ! [V0: $i] :
                            ( ( ( host @ SY128 )
                              = ( host @ V0 ) )
                           => ! [W0: $i] :
                                ( ( ( host @ SY128 )
                                 != ( host @ W0 ) )
                               => ( ( ~ ( leq @ ( index @ pendack @ ( host @ W0 ) ) @ ( host @ V0 ) )
                                    & ( setIn @ W0 @ alive )
                                    & ( ( index @ status @ ( host @ W0 ) )
                                      = elec_2 ) )
                                 => ~ ( ( setIn @ V0 @ alive )
                                      & ( ( host @ SY128 )
                                        = ( host @ V0 ) ) ) ) ) ) ) ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[69]) ).

thf(116,plain,
    ( ( ! [SY128: $i,SY129: $i] :
          ( ( ! [Z: $i,Pid0: $i] :
                ( ( elem @ ( m_Ldr @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
               => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( Pid0 != Z )
                  & ( ( host @ Pid0 )
                    = ( host @ Z ) ) )
               => ( ~ ( setIn @ Z @ alive )
                  | ~ ( setIn @ Pid0 @ alive ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( elem @ ( m_Ack @ Z @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) )
            & ! [Z: $i] :
                ( ( ( ( ( index @ status @ ( host @ Z ) )
                      = elec_1 )
                    | ( ( index @ status @ ( host @ Z ) )
                      = elec_2 ) )
                  & ( setIn @ Z @ alive ) )
               => ( ( index @ elid @ ( host @ Z ) )
                  = Z ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = norm )
                  & ( ( index @ ldr @ ( host @ Pid0 ) )
                    = ( host @ Pid0 ) ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ~ ( leq @ ( host @ Pid0 ) @ ( host @ Z ) )
                  & ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( host @ Pid0 )
                    = ( host @ Pid20 ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ 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 @ 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,Pid20: $i,Pid0: $i] :
                ( ( ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( host @ Pid0 )
                    = ( host @ Pid20 ) )
                  & ( ( index @ status @ ( host @ Z ) )
                    = elec_2 )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( elem @ ( m_Ack @ Z @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) )
                  & ( ( host @ Pid0 )
                    = ( host @ Pid20 ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( ( host @ Pid20 )
                    = ( host @ Pid0 ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = norm )
                  & ( ( index @ ldr @ ( host @ Pid0 ) )
                    = ( host @ Pid0 ) ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) ) )
            & ! [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] :
                ( ( ~ ( 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] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                  & ( ( host @ Pid20 )
                    = ( host @ Z ) )
                  & ( ( 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 @ SY128 ) )
              = ( cons @ ( m_Down @ SY129 ) @ sK1_V ) ) )
         => ( ( setIn @ SY128 @ alive )
           => ( ~ ( leq @ ( host @ SY128 ) @ ( host @ SY129 ) )
             => ( ~ ( ( ( ( index @ ldr @ ( host @ SY128 ) )
                        = ( host @ SY129 ) )
                      & ( ( index @ status @ ( host @ SY128 ) )
                        = norm ) )
                    | ( ( ( index @ status @ ( host @ SY128 ) )
                        = wait )
                      & ( ( host @ SY129 )
                        = ( host @ ( index @ elid @ ( host @ SY128 ) ) ) ) ) )
               => ( ( ! [Z: $i] :
                        ( ( ~ ( leq @ ( host @ SY128 ) @ Z )
                          & ( leq @ ( s @ zero ) @ Z ) )
                       => ( ( setIn @ Z @ ( index @ down @ ( host @ SY128 ) ) )
                          | ( Z
                            = ( host @ SY129 ) ) ) )
                    & ( ( index @ status @ ( host @ SY128 ) )
                      = elec_1 ) )
                 => ( ( leq @ nbr_proc @ ( host @ SY128 ) )
                   => ! [Z: $i] :
                        ( ~ ( setIn @ ( host @ Z ) @ setEmpty )
                       => ! [V0: $i] :
                            ( ( ( host @ SY128 )
                              = ( host @ V0 ) )
                           => ! [W0: $i] :
                                ( ( ( host @ SY128 )
                                 != ( host @ W0 ) )
                               => ( ( ~ ( leq @ ( index @ pendack @ ( host @ W0 ) ) @ ( host @ V0 ) )
                                    & ( setIn @ W0 @ alive )
                                    & ( ( index @ status @ ( host @ W0 ) )
                                      = elec_2 ) )
                                 => ~ ( ( setIn @ V0 @ alive )
                                      & ( ( host @ SY128 )
                                        = ( host @ V0 ) ) ) ) ) ) ) ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[115]) ).

thf(117,plain,
    ( ( ! [SY218: $i] :
          ( ( ! [Z: $i,Pid0: $i] :
                ( ( elem @ ( m_Ldr @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
               => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( Pid0 != Z )
                  & ( ( host @ Pid0 )
                    = ( host @ Z ) ) )
               => ( ~ ( setIn @ Z @ alive )
                  | ~ ( setIn @ Pid0 @ alive ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( elem @ ( m_Ack @ Z @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) )
            & ! [Z: $i] :
                ( ( ( ( ( index @ status @ ( host @ Z ) )
                      = elec_1 )
                    | ( ( index @ status @ ( host @ Z ) )
                      = elec_2 ) )
                  & ( setIn @ Z @ alive ) )
               => ( ( index @ elid @ ( host @ Z ) )
                  = Z ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) )
            & ! [Z: $i,Pid0: $i] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = norm )
                  & ( ( index @ ldr @ ( host @ Pid0 ) )
                    = ( host @ Pid0 ) ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ~ ( leq @ ( host @ Pid0 ) @ ( host @ Z ) )
                  & ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( host @ Pid0 )
                    = ( host @ Pid20 ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ 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 @ 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,Pid20: $i,Pid0: $i] :
                ( ( ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( ( host @ Pid0 )
                    = ( host @ Pid20 ) )
                  & ( ( index @ status @ ( host @ Z ) )
                    = elec_2 )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ~ ( elem @ ( m_Ack @ Z @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ( setIn @ Z @ alive )
                  & ( setIn @ Pid0 @ alive )
                  & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) )
                  & ( ( host @ Pid0 )
                    = ( host @ Pid20 ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = elec_2 ) )
               => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) )
            & ! [Z: $i,Pid20: $i,Pid0: $i] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( ( host @ Pid20 )
                    = ( host @ Pid0 ) )
                  & ( ( index @ status @ ( host @ Pid0 ) )
                    = norm )
                  & ( ( index @ ldr @ ( host @ Pid0 ) )
                    = ( host @ Pid0 ) ) )
               => ~ ( ( setIn @ Z @ alive )
                    & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) ) )
            & ! [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] :
                ( ( ~ ( 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] :
                ( ( ( setIn @ Pid0 @ alive )
                  & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                  & ( ( host @ Pid20 )
                    = ( host @ Z ) )
                  & ( ( 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_SY128 ) )
              = ( cons @ ( m_Down @ SY218 ) @ sK1_V ) ) )
         => ( ( setIn @ sK3_SY128 @ alive )
           => ( ~ ( leq @ ( host @ sK3_SY128 ) @ ( host @ SY218 ) )
             => ( ~ ( ( ( ( index @ ldr @ ( host @ sK3_SY128 ) )
                        = ( host @ SY218 ) )
                      & ( ( index @ status @ ( host @ sK3_SY128 ) )
                        = norm ) )
                    | ( ( ( index @ status @ ( host @ sK3_SY128 ) )
                        = wait )
                      & ( ( host @ SY218 )
                        = ( host @ ( index @ elid @ ( host @ sK3_SY128 ) ) ) ) ) )
               => ( ( ! [SY258: $i] :
                        ( ( ~ ( leq @ ( host @ sK3_SY128 ) @ SY258 )
                          & ( leq @ ( s @ zero ) @ SY258 ) )
                       => ( ( setIn @ SY258 @ ( index @ down @ ( host @ sK3_SY128 ) ) )
                          | ( SY258
                            = ( host @ SY218 ) ) ) )
                    & ( ( index @ status @ ( host @ sK3_SY128 ) )
                      = elec_1 ) )
                 => ( ( leq @ nbr_proc @ ( host @ sK3_SY128 ) )
                   => ! [SY259: $i] :
                        ( ~ ( setIn @ ( host @ SY259 ) @ setEmpty )
                       => ! [SY260: $i] :
                            ( ( ( host @ sK3_SY128 )
                              = ( host @ SY260 ) )
                           => ! [SY261: $i] :
                                ( ( ( host @ sK3_SY128 )
                                 != ( host @ SY261 ) )
                               => ( ( ~ ( leq @ ( index @ pendack @ ( host @ SY261 ) ) @ ( host @ SY260 ) )
                                    & ( setIn @ SY261 @ alive )
                                    & ( ( index @ status @ ( host @ SY261 ) )
                                      = elec_2 ) )
                                 => ~ ( ( setIn @ SY260 @ alive )
                                      & ( ( host @ sK3_SY128 )
                                        = ( host @ SY260 ) ) ) ) ) ) ) ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[116]) ).

thf(118,plain,
    ( ( ( ! [Z: $i,Pid0: $i] :
            ( ( elem @ ( m_Ldr @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
           => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ( Pid0 != Z )
              & ( ( host @ Pid0 )
                = ( host @ Z ) ) )
           => ( ~ ( setIn @ Z @ alive )
              | ~ ( setIn @ Pid0 @ alive ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ( setIn @ Pid0 @ alive )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ~ ( elem @ ( m_Ack @ Z @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) )
        & ! [Z: $i] :
            ( ( ( ( ( index @ status @ ( host @ Z ) )
                  = elec_1 )
                | ( ( index @ status @ ( host @ Z ) )
                  = elec_2 ) )
              & ( setIn @ Z @ alive ) )
           => ( ( index @ elid @ ( host @ Z ) )
              = Z ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ( setIn @ Z @ alive )
              & ( setIn @ Pid0 @ alive )
              & ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) )
        & ! [Z: $i,Pid0: $i] :
            ( ( ( setIn @ Pid0 @ alive )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = norm )
              & ( ( index @ ldr @ ( host @ Pid0 ) )
                = ( host @ Pid0 ) ) )
           => ~ ( ( setIn @ Z @ alive )
                & ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ~ ( leq @ ( host @ Pid0 ) @ ( host @ Z ) )
              & ( setIn @ Z @ alive )
              & ( setIn @ Pid0 @ alive )
              & ( ( host @ Pid0 )
                = ( host @ Pid20 ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ~ ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ 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 @ 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,Pid20: $i,Pid0: $i] :
            ( ( ( setIn @ Z @ alive )
              & ( setIn @ Pid0 @ alive )
              & ( ( host @ Pid0 )
                = ( host @ Pid20 ) )
              & ( ( index @ status @ ( host @ Z ) )
                = elec_2 )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ~ ( elem @ ( m_Ack @ Z @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ( setIn @ Z @ alive )
              & ( setIn @ Pid0 @ alive )
              & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) )
              & ( ( host @ Pid0 )
                = ( host @ Pid20 ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = elec_2 ) )
           => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) )
        & ! [Z: $i,Pid20: $i,Pid0: $i] :
            ( ( ( setIn @ Pid0 @ alive )
              & ( ( host @ Pid20 )
                = ( host @ Pid0 ) )
              & ( ( index @ status @ ( host @ Pid0 ) )
                = norm )
              & ( ( index @ ldr @ ( host @ Pid0 ) )
                = ( host @ Pid0 ) ) )
           => ~ ( ( setIn @ Z @ alive )
                & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) ) )
        & ! [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] :
            ( ( ~ ( 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] :
            ( ( ( setIn @ Pid0 @ alive )
              & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
              & ( ( host @ Pid20 )
                = ( host @ Z ) )
              & ( ( 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_SY128 ) )
          = ( cons @ ( m_Down @ sK4_SY218 ) @ sK1_V ) ) )
     => ( ( setIn @ sK3_SY128 @ alive )
       => ( ~ ( leq @ ( host @ sK3_SY128 ) @ ( host @ sK4_SY218 ) )
         => ( ~ ( ( ( ( index @ ldr @ ( host @ sK3_SY128 ) )
                    = ( host @ sK4_SY218 ) )
                  & ( ( index @ status @ ( host @ sK3_SY128 ) )
                    = norm ) )
                | ( ( ( index @ status @ ( host @ sK3_SY128 ) )
                    = wait )
                  & ( ( host @ sK4_SY218 )
                    = ( host @ ( index @ elid @ ( host @ sK3_SY128 ) ) ) ) ) )
           => ( ( ! [SY301: $i] :
                    ( ( ~ ( leq @ ( host @ sK3_SY128 ) @ SY301 )
                      & ( leq @ ( s @ zero ) @ SY301 ) )
                   => ( ( setIn @ SY301 @ ( index @ down @ ( host @ sK3_SY128 ) ) )
                      | ( SY301
                        = ( host @ sK4_SY218 ) ) ) )
                & ( ( index @ status @ ( host @ sK3_SY128 ) )
                  = elec_1 ) )
             => ( ( leq @ nbr_proc @ ( host @ sK3_SY128 ) )
               => ! [SY259: $i] :
                    ( ~ ( setIn @ ( host @ SY259 ) @ setEmpty )
                   => ! [SY260: $i] :
                        ( ( ( host @ sK3_SY128 )
                          = ( host @ SY260 ) )
                       => ! [SY261: $i] :
                            ( ( ( host @ sK3_SY128 )
                             != ( host @ SY261 ) )
                           => ( ( ~ ( leq @ ( index @ pendack @ ( host @ SY261 ) ) @ ( host @ SY260 ) )
                                & ( setIn @ SY261 @ alive )
                                & ( ( index @ status @ ( host @ SY261 ) )
                                  = elec_2 ) )
                             => ~ ( ( setIn @ SY260 @ alive )
                                  & ( ( host @ sK3_SY128 )
                                    = ( host @ SY260 ) ) ) ) ) ) ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[117]) ).

thf(119,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( elem @ ( m_Ldr @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
         => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[118]) ).

thf(120,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( ( Pid0 != Z )
            & ( ( host @ Pid0 )
              = ( host @ Z ) ) )
         => ( ~ ( setIn @ Z @ alive )
            | ~ ( setIn @ Pid0 @ alive ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[118]) ).

thf(121,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( ( setIn @ Pid0 @ alive )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = elec_2 ) )
         => ~ ( elem @ ( m_Ack @ Z @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[118]) ).

thf(122,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)],[118]) ).

thf(123,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( ( setIn @ Z @ alive )
            & ( setIn @ Pid0 @ alive )
            & ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = elec_2 ) )
         => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[118]) ).

thf(124,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( ( setIn @ Pid0 @ alive )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = norm )
            & ( ( index @ ldr @ ( host @ Pid0 ) )
              = ( host @ Pid0 ) ) )
         => ~ ( ( setIn @ Z @ alive )
              & ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[118]) ).

thf(125,plain,
    ( ( ! [Z: $i,Pid20: $i,Pid0: $i] :
          ( ( ~ ( leq @ ( host @ Pid0 ) @ ( host @ Z ) )
            & ( setIn @ Z @ alive )
            & ( setIn @ Pid0 @ alive )
            & ( ( host @ Pid0 )
              = ( host @ Pid20 ) )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = elec_2 ) )
         => ~ ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[118]) ).

thf(126,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)],[118]) ).

thf(127,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)],[118]) ).

thf(128,plain,
    ( ( ! [Z: $i,Pid20: $i,Pid0: $i] :
          ( ( ( setIn @ Z @ alive )
            & ( setIn @ Pid0 @ alive )
            & ( ( host @ Pid0 )
              = ( host @ Pid20 ) )
            & ( ( index @ status @ ( host @ Z ) )
              = elec_2 )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = elec_2 ) )
         => ~ ( elem @ ( m_Ack @ Z @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[118]) ).

thf(129,plain,
    ( ( ! [Z: $i,Pid20: $i,Pid0: $i] :
          ( ( ( setIn @ Z @ alive )
            & ( setIn @ Pid0 @ alive )
            & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) )
            & ( ( host @ Pid0 )
              = ( host @ Pid20 ) )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = elec_2 ) )
         => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[118]) ).

thf(130,plain,
    ( ( ! [Z: $i,Pid20: $i,Pid0: $i] :
          ( ( ( setIn @ Pid0 @ alive )
            & ( ( host @ Pid20 )
              = ( host @ Pid0 ) )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = norm )
            & ( ( index @ ldr @ ( host @ Pid0 ) )
              = ( host @ Pid0 ) ) )
         => ~ ( ( setIn @ Z @ alive )
              & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[118]) ).

thf(131,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)],[118]) ).

thf(132,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)],[118]) ).

thf(133,plain,
    ( ( ! [Z: $i,Pid20: $i,Pid0: $i] :
          ( ( ( setIn @ Pid0 @ alive )
            & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
            & ( ( host @ Pid20 )
              = ( host @ Z ) )
            & ( ( 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)],[118]) ).

thf(134,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)],[118]) ).

thf(135,plain,
    ( ( ( queue @ ( host @ sK3_SY128 ) )
      = ( cons @ ( m_Down @ sK4_SY218 ) @ sK1_V ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[118]) ).

thf(136,plain,
    ( ( setIn @ sK3_SY128 @ alive )
    = $true ),
    inference(standard_cnf,[status(thm)],[118]) ).

thf(137,plain,
    ( ( ~ ( leq @ ( host @ sK3_SY128 ) @ ( host @ sK4_SY218 ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[118]) ).

thf(138,plain,
    ( ( ~ ( ( ( ( index @ ldr @ ( host @ sK3_SY128 ) )
              = ( host @ sK4_SY218 ) )
            & ( ( index @ status @ ( host @ sK3_SY128 ) )
              = norm ) )
          | ( ( ( index @ status @ ( host @ sK3_SY128 ) )
              = wait )
            & ( ( host @ sK4_SY218 )
              = ( host @ ( index @ elid @ ( host @ sK3_SY128 ) ) ) ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[118]) ).

thf(139,plain,
    ( ( ! [SY301: $i] :
          ( ( ~ ( leq @ ( host @ sK3_SY128 ) @ SY301 )
            & ( leq @ ( s @ zero ) @ SY301 ) )
         => ( ( setIn @ SY301 @ ( index @ down @ ( host @ sK3_SY128 ) ) )
            | ( SY301
              = ( host @ sK4_SY218 ) ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[118]) ).

thf(140,plain,
    ( ( ( index @ status @ ( host @ sK3_SY128 ) )
      = elec_1 )
    = $true ),
    inference(standard_cnf,[status(thm)],[118]) ).

thf(141,plain,
    ( ( leq @ nbr_proc @ ( host @ sK3_SY128 ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[118]) ).

thf(142,plain,
    ( ( ! [SY259: $i] :
          ( ~ ( setIn @ ( host @ SY259 ) @ setEmpty )
         => ! [SY260: $i] :
              ( ( ( host @ sK3_SY128 )
                = ( host @ SY260 ) )
             => ! [SY261: $i] :
                  ( ( ( host @ sK3_SY128 )
                   != ( host @ SY261 ) )
                 => ( ( ~ ( leq @ ( index @ pendack @ ( host @ SY261 ) ) @ ( host @ SY260 ) )
                      & ( setIn @ SY261 @ alive )
                      & ( ( index @ status @ ( host @ SY261 ) )
                        = elec_2 ) )
                   => ~ ( ( setIn @ SY260 @ alive )
                        & ( ( host @ sK3_SY128 )
                          = ( host @ SY260 ) ) ) ) ) ) ) )
    = $false ),
    inference(standard_cnf,[status(thm)],[118]) ).

thf(143,plain,
    ( ( ~ ! [SY259: $i] :
            ( ~ ( setIn @ ( host @ SY259 ) @ setEmpty )
           => ! [SY260: $i] :
                ( ( ( host @ sK3_SY128 )
                  = ( host @ SY260 ) )
               => ! [SY261: $i] :
                    ( ( ( host @ sK3_SY128 )
                     != ( host @ SY261 ) )
                   => ( ( ~ ( leq @ ( index @ pendack @ ( host @ SY261 ) ) @ ( host @ SY260 ) )
                        & ( setIn @ SY261 @ alive )
                        & ( ( index @ status @ ( host @ SY261 ) )
                          = elec_2 ) )
                     => ~ ( ( setIn @ SY260 @ alive )
                          & ( ( host @ sK3_SY128 )
                            = ( host @ SY260 ) ) ) ) ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[142]) ).

thf(144,plain,
    ( ( ! [Pid: $i,Pid2: $i] :
          ( ( elem @ ( m_Ack @ Pid @ Pid2 ) @ ( queue @ ( host @ Pid ) ) )
         => ( ( setIn @ Pid @ pids )
            & ( setIn @ Pid2 @ pids ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[114]) ).

thf(145,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( ( s @ ( host @ P ) )
            = ( host @ Q ) )
         => ( ( host @ P )
           != ( host @ Q ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[113]) ).

thf(146,plain,
    ( ( ! [P: $i] : ( leq @ ( s @ zero ) @ ( host @ P ) ) )
    = $true ),
    inference(copy,[status(thm)],[112]) ).

thf(147,plain,
    ( ( leq @ ( s @ zero ) @ nbr_proc )
    = $true ),
    inference(copy,[status(thm)],[111]) ).

thf(148,plain,
    ( ( ! [P: $i] : ( leq @ ( host @ P ) @ nbr_proc ) )
    = $true ),
    inference(copy,[status(thm)],[110]) ).

thf(149,plain,
    ( ( elec_1 != elec_2 )
    = $true ),
    inference(copy,[status(thm)],[109]) ).

thf(150,plain,
    ( ( elec_1 != wait )
    = $true ),
    inference(copy,[status(thm)],[108]) ).

thf(151,plain,
    ( ( elec_1 != norm )
    = $true ),
    inference(copy,[status(thm)],[107]) ).

thf(152,plain,
    ( ( elec_2 != wait )
    = $true ),
    inference(copy,[status(thm)],[106]) ).

thf(153,plain,
    ( ( elec_2 != norm )
    = $true ),
    inference(copy,[status(thm)],[105]) ).

thf(154,plain,
    ( ( norm != wait )
    = $true ),
    inference(copy,[status(thm)],[104]) ).

thf(155,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_Halt @ Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[103]) ).

thf(156,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_Down @ Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[102]) ).

thf(157,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_NotNorm @ Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[101]) ).

thf(158,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_Ldr @ Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[100]) ).

thf(159,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_NormQ @ Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[99]) ).

thf(160,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_Halt @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[98]) ).

thf(161,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_Ldr @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[97]) ).

thf(162,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_NotNorm @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[96]) ).

thf(163,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_NormQ @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[95]) ).

thf(164,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Ldr @ X )
         != ( m_Halt @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[94]) ).

thf(165,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Ldr @ X )
         != ( m_NormQ @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[93]) ).

thf(166,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Ldr @ X )
         != ( m_NotNorm @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[92]) ).

thf(167,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
        <=> ( ( m_Ldr @ X )
           != ( m_Ldr @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[91]) ).

thf(168,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
        <=> ( ( m_Down @ X )
           != ( m_Down @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[90]) ).

thf(169,plain,
    ( ( ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
          ( ( X1 != X2 )
         => ( ( m_Ack @ X1 @ Y1 )
           != ( m_Ack @ X2 @ Y2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[89]) ).

thf(170,plain,
    ( ( ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
          ( ( Y1 != Y2 )
         => ( ( m_Ack @ X1 @ Y1 )
           != ( m_Ack @ X2 @ Y2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[88]) ).

thf(171,plain,
    ( ( ! [Pid: $i,Pid2: $i] :
          ( ( ( host @ Pid )
           != ( host @ Pid2 ) )
         => ( Pid != Pid2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[87]) ).

thf(172,plain,
    ( ( ~ ( setIn @ nil @ alive ) )
    = $true ),
    inference(copy,[status(thm)],[86]) ).

thf(173,plain,
    ( ( ! [X: $i,Q: $i] :
          ( ( head @ ( cons @ X @ Q ) )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[85]) ).

thf(174,plain,
    ( ( ! [X: $i,Q: $i] :
          ( ( tail @ ( cons @ X @ Q ) )
          = Q ) )
    = $true ),
    inference(copy,[status(thm)],[84]) ).

thf(175,plain,
    ( ( ! [X: $i,Q: $i] :
          ( q_nil
         != ( cons @ X @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[83]) ).

thf(176,plain,
    ( ( ! [X: $i,Y: $i,Q: $i] :
          ( ( snoc @ ( cons @ X @ Q ) @ Y )
          = ( cons @ X @ ( snoc @ Q @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[82]) ).

thf(177,plain,
    ( ( ! [X: $i] :
          ~ ( elem @ X @ q_nil ) )
    = $true ),
    inference(copy,[status(thm)],[81]) ).

thf(178,plain,
    ( ( ! [X: $i,Y: $i,Q: $i] :
          ( ( elem @ X @ ( cons @ Y @ Q ) )
        <=> ( ( X = Y )
            | ( elem @ X @ Q ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[80]) ).

thf(179,plain,
    ( ( ! [X: $i,Y: $i,Q: $i] :
          ( ( elem @ X @ ( snoc @ Q @ Y ) )
        <=> ( ( X = Y )
            | ( elem @ X @ Q ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[79]) ).

thf(180,plain,
    ( ( ! [X: $i] :
          ( ( pidMsg @ ( m_Down @ X ) )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[78]) ).

thf(181,plain,
    ( ( ! [X: $i] :
          ~ ( leq @ ( s @ X ) @ X ) )
    = $true ),
    inference(copy,[status(thm)],[77]) ).

thf(182,plain,
    ( ( ! [X: $i] : ( leq @ X @ X ) )
    = $true ),
    inference(copy,[status(thm)],[76]) ).

thf(183,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( leq @ X @ Y )
          | ( leq @ Y @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[75]) ).

thf(184,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( ( leq @ X @ Y )
            & ( leq @ Y @ X ) )
        <=> ( X = Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[74]) ).

thf(185,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( ( leq @ X @ Y )
            & ( leq @ Y @ Z ) )
         => ( leq @ X @ Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[73]) ).

thf(186,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( leq @ X @ Y )
        <=> ( leq @ ( s @ X ) @ ( s @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[72]) ).

thf(187,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( leq @ X @ ( s @ Y ) )
        <=> ( ( X
              = ( s @ Y ) )
            | ( leq @ X @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[71]) ).

thf(188,plain,
    ( ( ! [X: $i] :
          ~ ( setIn @ X @ setEmpty ) )
    = $true ),
    inference(copy,[status(thm)],[70]) ).

thf(189,plain,
    ( ( leq @ nbr_proc @ ( host @ sK3_SY128 ) )
    = $true ),
    inference(copy,[status(thm)],[141]) ).

thf(190,plain,
    ( ( ( index @ status @ ( host @ sK3_SY128 ) )
      = elec_1 )
    = $true ),
    inference(copy,[status(thm)],[140]) ).

thf(191,plain,
    ( ( ! [SY301: $i] :
          ( ( ~ ( leq @ ( host @ sK3_SY128 ) @ SY301 )
            & ( leq @ ( s @ zero ) @ SY301 ) )
         => ( ( setIn @ SY301 @ ( index @ down @ ( host @ sK3_SY128 ) ) )
            | ( SY301
              = ( host @ sK4_SY218 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[139]) ).

thf(192,plain,
    ( ( ~ ( ( ( ( index @ ldr @ ( host @ sK3_SY128 ) )
              = ( host @ sK4_SY218 ) )
            & ( ( index @ status @ ( host @ sK3_SY128 ) )
              = norm ) )
          | ( ( ( index @ status @ ( host @ sK3_SY128 ) )
              = wait )
            & ( ( host @ sK4_SY218 )
              = ( host @ ( index @ elid @ ( host @ sK3_SY128 ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[138]) ).

thf(193,plain,
    ( ( ~ ( leq @ ( host @ sK3_SY128 ) @ ( host @ sK4_SY218 ) ) )
    = $true ),
    inference(copy,[status(thm)],[137]) ).

thf(194,plain,
    ( ( setIn @ sK3_SY128 @ alive )
    = $true ),
    inference(copy,[status(thm)],[136]) ).

thf(195,plain,
    ( ( ( queue @ ( host @ sK3_SY128 ) )
      = ( cons @ ( m_Down @ sK4_SY218 ) @ sK1_V ) )
    = $true ),
    inference(copy,[status(thm)],[135]) ).

thf(196,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)],[134]) ).

thf(197,plain,
    ( ( ! [Z: $i,Pid20: $i,Pid0: $i] :
          ( ( ( setIn @ Pid0 @ alive )
            & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
            & ( ( host @ Pid20 )
              = ( host @ Z ) )
            & ( ( 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)],[133]) ).

thf(198,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)],[132]) ).

thf(199,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)],[131]) ).

thf(200,plain,
    ( ( ! [Z: $i,Pid20: $i,Pid0: $i] :
          ( ( ( setIn @ Pid0 @ alive )
            & ( ( host @ Pid20 )
              = ( host @ Pid0 ) )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = norm )
            & ( ( index @ ldr @ ( host @ Pid0 ) )
              = ( host @ Pid0 ) ) )
         => ~ ( ( setIn @ Z @ alive )
              & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[130]) ).

thf(201,plain,
    ( ( ! [Z: $i,Pid20: $i,Pid0: $i] :
          ( ( ( setIn @ Z @ alive )
            & ( setIn @ Pid0 @ alive )
            & ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) )
            & ( ( host @ Pid0 )
              = ( host @ Pid20 ) )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = elec_2 ) )
         => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[129]) ).

thf(202,plain,
    ( ( ! [Z: $i,Pid20: $i,Pid0: $i] :
          ( ( ( setIn @ Z @ alive )
            & ( setIn @ Pid0 @ alive )
            & ( ( host @ Pid0 )
              = ( host @ Pid20 ) )
            & ( ( index @ status @ ( host @ Z ) )
              = elec_2 )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = elec_2 ) )
         => ~ ( elem @ ( m_Ack @ Z @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[128]) ).

thf(203,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)],[127]) ).

thf(204,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)],[126]) ).

thf(205,plain,
    ( ( ! [Z: $i,Pid20: $i,Pid0: $i] :
          ( ( ~ ( leq @ ( host @ Pid0 ) @ ( host @ Z ) )
            & ( setIn @ Z @ alive )
            & ( setIn @ Pid0 @ alive )
            & ( ( host @ Pid0 )
              = ( host @ Pid20 ) )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = elec_2 ) )
         => ~ ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[125]) ).

thf(206,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( ( setIn @ Pid0 @ alive )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = norm )
            & ( ( index @ ldr @ ( host @ Pid0 ) )
              = ( host @ Pid0 ) ) )
         => ~ ( ( setIn @ Z @ alive )
              & ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[124]) ).

thf(207,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( ( setIn @ Z @ alive )
            & ( setIn @ Pid0 @ alive )
            & ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = elec_2 ) )
         => ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[123]) ).

thf(208,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)],[122]) ).

thf(209,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( ( setIn @ Pid0 @ alive )
            & ( ( index @ status @ ( host @ Pid0 ) )
              = elec_2 ) )
         => ~ ( elem @ ( m_Ack @ Z @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[121]) ).

thf(210,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( ( Pid0 != Z )
            & ( ( host @ Pid0 )
              = ( host @ Z ) ) )
         => ( ~ ( setIn @ Z @ alive )
            | ~ ( setIn @ Pid0 @ alive ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[120]) ).

thf(211,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( elem @ ( m_Ldr @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
         => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[119]) ).

thf(212,plain,
    ( ( ~ ! [SY259: $i] :
            ( ~ ( setIn @ ( host @ SY259 ) @ setEmpty )
           => ! [SY260: $i] :
                ( ( ( host @ sK3_SY128 )
                  = ( host @ SY260 ) )
               => ! [SY261: $i] :
                    ( ( ( host @ sK3_SY128 )
                     != ( host @ SY261 ) )
                   => ( ( ~ ( leq @ ( index @ pendack @ ( host @ SY261 ) ) @ ( host @ SY260 ) )
                        & ( setIn @ SY261 @ alive )
                        & ( ( index @ status @ ( host @ SY261 ) )
                          = elec_2 ) )
                     => ~ ( ( setIn @ SY260 @ alive )
                          & ( ( host @ sK3_SY128 )
                            = ( host @ SY260 ) ) ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[143]) ).

thf(213,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)],[198]) ).

thf(214,plain,
    ( ( elec_1 != elec_2 )
    = $true ),
    inference(unfold_def,[status(thm)],[149]) ).

thf(215,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( m_Down @ SX0 )
         != ( m_NormQ @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[163]) ).

thf(216,plain,
    ( ( ! [SX0: $i] :
          ( ~ ~ ( ~ ~ ( leq @ ( host @ sK3_SY128 ) @ SX0 )
                | ~ ( leq @ ( s @ zero ) @ SX0 ) )
          | ( setIn @ SX0 @ ( index @ down @ ( host @ sK3_SY128 ) ) )
          | ( SX0
            = ( host @ sK4_SY218 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[191]) ).

thf(217,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)],[178]) ).

thf(218,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)],[170]) ).

thf(219,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ( m_Ack @ SX0 @ SX1 )
         != ( m_Ldr @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[158]) ).

thf(220,plain,
    ( ( elec_1 != norm )
    = $true ),
    inference(unfold_def,[status(thm)],[151]) ).

thf(221,plain,
    ( ( norm != wait )
    = $true ),
    inference(unfold_def,[status(thm)],[154]) ).

thf(222,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ( m_Ack @ SX0 @ SX1 )
         != ( m_Halt @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[155]) ).

thf(223,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)],[196]) ).

thf(224,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( m_Ldr @ SX0 )
         != ( m_NormQ @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[165]) ).

thf(225,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ~ ( ( SX1 != SX0 ) )
                | ( ( host @ SX1 )
                 != ( host @ SX0 ) ) )
          | ~ ( setIn @ SX0 @ alive )
          | ~ ( setIn @ SX1 @ alive ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[210]) ).

thf(226,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SX0 @ alive )
                                  | ~ ( setIn @ SX2 @ alive ) )
                            | ( ( host @ SX2 )
                             != ( host @ SX1 ) ) )
                      | ( ( index @ status @ ( host @ SX0 ) )
                       != elec_2 ) )
                | ( ( index @ status @ ( host @ SX2 ) )
                 != elec_2 ) )
          | ~ ( elem @ ( m_Ack @ SX0 @ SX1 ) @ ( queue @ ( host @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[202]) ).

thf(227,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ( m_Ack @ SX0 @ SX1 )
         != ( m_Down @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[156]) ).

thf(228,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SX2 @ alive )
                            | ~ ( elem @ ( m_Down @ SX1 ) @ ( queue @ ( host @ SX2 ) ) ) )
                      | ( ( host @ SX1 )
                       != ( host @ SX0 ) ) )
                | ( ( 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)],[197]) ).

thf(229,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)],[167]) ).

thf(230,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)],[203]) ).

thf(231,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SX0 @ alive )
                                  | ~ ( setIn @ SX2 @ alive ) )
                            | ~ ( elem @ ( m_Down @ SX1 ) @ ( queue @ ( host @ SX0 ) ) ) )
                      | ( ( host @ SX2 )
                       != ( host @ SX1 ) ) )
                | ( ( index @ status @ ( host @ SX2 ) )
                 != elec_2 ) )
          | ( leq @ ( index @ pendack @ ( host @ SX2 ) ) @ ( host @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[201]) ).

thf(232,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ~ ( setIn @ SX1 @ alive )
                | ( ( index @ status @ ( host @ SX1 ) )
                 != elec_2 ) )
          | ~ ( elem @ ( m_Ack @ SX0 @ SX1 ) @ ( queue @ ( host @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[209]) ).

thf(233,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( m_Ldr @ SX0 )
         != ( m_Halt @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[164]) ).

thf(234,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ~ ~ ( ~ ( setIn @ SX1 @ alive )
                      | ( ( index @ status @ ( host @ SX1 ) )
                       != norm ) )
                | ( ( index @ ldr @ ( host @ SX1 ) )
                 != ( host @ SX1 ) ) )
          | ~ ~ ( ~ ( setIn @ SX0 @ alive )
                | ~ ( setIn @ ( host @ SX1 ) @ ( index @ down @ ( host @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[206]) ).

thf(235,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ( leq @ SX0 @ SX1 )
                | ~ ( leq @ SX1 @ SX2 ) )
          | ( leq @ SX0 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[185]) ).

thf(236,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SX2 @ alive )
                            | ( ( host @ SX1 )
                             != ( host @ SX2 ) ) )
                      | ( ( index @ status @ ( host @ SX2 ) )
                       != norm ) )
                | ( ( index @ ldr @ ( host @ SX2 ) )
                 != ( host @ SX2 ) ) )
          | ~ ~ ( ~ ( setIn @ SX0 @ alive )
                | ~ ( elem @ ( m_Down @ SX1 ) @ ( queue @ ( host @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[200]) ).

thf(237,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( m_Ldr @ SX0 )
         != ( m_NotNorm @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[166]) ).

thf(238,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)],[179]) ).

thf(239,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SX0 @ alive )
                            | ~ ( setIn @ SX1 @ alive ) )
                      | ~ ( setIn @ ( host @ SX1 ) @ ( index @ down @ ( host @ SX0 ) ) ) )
                | ( ( index @ status @ ( host @ SX1 ) )
                 != elec_2 ) )
          | ( leq @ ( index @ pendack @ ( host @ SX1 ) ) @ ( host @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[207]) ).

thf(240,plain,
    ( ( elec_2 != norm )
    = $true ),
    inference(unfold_def,[status(thm)],[153]) ).

thf(241,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( q_nil
         != ( cons @ SX0 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[175]) ).

thf(242,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( m_Down @ SX0 )
         != ( m_NotNorm @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[162]) ).

thf(243,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)],[184]) ).

thf(244,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)],[169]) ).

thf(245,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ( ( host @ SX0 )
               != ( host @ SX1 ) ) )
          | ( SX0 != SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[171]) ).

thf(246,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ~ ( setIn @ ( host @ SX0 ) @ setEmpty )
            | ! [SX1: $i] :
                ( ( ( host @ sK3_SY128 )
                 != ( host @ SX1 ) )
                | ! [SX2: $i] :
                    ( ~ ( ( ( host @ sK3_SY128 )
                         != ( host @ SX2 ) ) )
                    | ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SX2 ) ) @ ( host @ SX1 ) )
                                | ~ ( setIn @ SX2 @ alive ) )
                          | ( ( index @ status @ ( host @ SX2 ) )
                           != elec_2 ) )
                    | ~ ~ ( ~ ( setIn @ SX1 @ alive )
                          | ( ( host @ sK3_SY128 )
                           != ( host @ SX1 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[212]) ).

thf(247,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ( m_Ack @ SX0 @ SX1 )
         != ( m_NotNorm @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[157]) ).

thf(248,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)],[144]) ).

thf(249,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( m_Down @ SX0 )
         != ( m_Ldr @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[161]) ).

thf(250,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)],[187]) ).

thf(251,plain,
    ( ( elec_1 != wait )
    = $true ),
    inference(unfold_def,[status(thm)],[150]) ).

thf(252,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)],[208]) ).

thf(253,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)],[199]) ).

thf(254,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( elem @ ( m_Ldr @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
          | ~ ( leq @ ( host @ SX0 ) @ ( host @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[211]) ).

thf(255,plain,
    ( ( ~ ( ~ ( ( ( index @ ldr @ ( host @ sK3_SY128 ) )
               != ( host @ sK4_SY218 ) )
              | ( ( index @ status @ ( host @ sK3_SY128 ) )
               != norm ) )
          | ~ ( ( ( index @ status @ ( host @ sK3_SY128 ) )
               != wait )
              | ( ( host @ sK4_SY218 )
               != ( host @ ( index @ elid @ ( host @ sK3_SY128 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[192]) ).

thf(256,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)],[186]) ).

thf(257,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ( m_Ack @ SX0 @ SX1 )
         != ( m_NormQ @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[159]) ).

thf(258,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)],[204]) ).

thf(259,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( m_Down @ SX0 )
         != ( m_Halt @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[160]) ).

thf(260,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SX2 ) @ ( host @ SX0 ) )
                                  | ~ ( setIn @ SX0 @ alive ) )
                            | ~ ( setIn @ SX2 @ alive ) )
                      | ( ( host @ SX2 )
                       != ( host @ SX1 ) ) )
                | ( ( index @ status @ ( host @ SX2 ) )
                 != elec_2 ) )
          | ~ ( elem @ ( m_Down @ SX1 ) @ ( queue @ ( host @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[205]) ).

thf(261,plain,
    ( ( elec_2 != wait )
    = $true ),
    inference(unfold_def,[status(thm)],[152]) ).

thf(262,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)],[168]) ).

thf(263,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( ( s @ ( host @ SX0 ) )
           != ( host @ SX1 ) )
          | ( ( host @ SX0 )
           != ( host @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[145]) ).

thf(264,plain,
    ! [SV1: $i] :
      ( ( leq @ ( s @ zero ) @ ( host @ SV1 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[146]) ).

thf(265,plain,
    ! [SV2: $i] :
      ( ( leq @ ( host @ SV2 ) @ nbr_proc )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[148]) ).

thf(266,plain,
    ( ( setIn @ nil @ alive )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[172]) ).

thf(267,plain,
    ! [SV3: $i] :
      ( ( ! [SY305: $i] :
            ( ( head @ ( cons @ SV3 @ SY305 ) )
            = SV3 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[173]) ).

thf(268,plain,
    ! [SV4: $i] :
      ( ( ! [SY306: $i] :
            ( ( tail @ ( cons @ SV4 @ SY306 ) )
            = SY306 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[174]) ).

thf(269,plain,
    ! [SV5: $i] :
      ( ( ! [SY307: $i,SY308: $i] :
            ( ( snoc @ ( cons @ SV5 @ SY308 ) @ SY307 )
            = ( cons @ SV5 @ ( snoc @ SY308 @ SY307 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[176]) ).

thf(270,plain,
    ! [SV6: $i] :
      ( ( ~ ( elem @ SV6 @ q_nil ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[177]) ).

thf(271,plain,
    ! [SV7: $i] :
      ( ( ( pidMsg @ ( m_Down @ SV7 ) )
        = SV7 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[180]) ).

thf(272,plain,
    ! [SV8: $i] :
      ( ( ~ ( leq @ ( s @ SV8 ) @ SV8 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[181]) ).

thf(273,plain,
    ! [SV9: $i] :
      ( ( leq @ SV9 @ SV9 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[182]) ).

thf(274,plain,
    ! [SV10: $i] :
      ( ( ! [SY309: $i] :
            ( ( leq @ SV10 @ SY309 )
            | ( leq @ SY309 @ SV10 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[183]) ).

thf(275,plain,
    ! [SV11: $i] :
      ( ( ~ ( setIn @ SV11 @ setEmpty ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[188]) ).

thf(276,plain,
    ( ( leq @ ( host @ sK3_SY128 ) @ ( host @ sK4_SY218 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[193]) ).

thf(277,plain,
    ! [SV12: $i] :
      ( ( ! [SY310: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV12 ) @ ( host @ SY310 ) )
                                    | ~ ( setIn @ SV12 @ alive ) )
                              | ~ ( setIn @ SY310 @ alive ) )
                        | ( ( index @ status @ ( host @ SV12 ) )
                         != elec_2 ) )
                  | ( ( index @ status @ ( host @ SY310 ) )
                   != elec_2 ) )
            | ~ ( leq @ ( index @ pendack @ ( host @ SV12 ) ) @ ( index @ pendack @ ( host @ SY310 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[213]) ).

thf(278,plain,
    ( ( elec_1 = elec_2 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[214]) ).

thf(279,plain,
    ! [SV13: $i] :
      ( ( ! [SY311: $i] :
            ( ( m_Down @ SV13 )
           != ( m_NormQ @ SY311 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[215]) ).

thf(280,plain,
    ! [SV14: $i] :
      ( ( ~ ~ ( ~ ~ ( leq @ ( host @ sK3_SY128 ) @ SV14 )
              | ~ ( leq @ ( s @ zero ) @ SV14 ) )
        | ( setIn @ SV14 @ ( index @ down @ ( host @ sK3_SY128 ) ) )
        | ( SV14
          = ( host @ sK4_SY218 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[216]) ).

thf(281,plain,
    ! [SV15: $i] :
      ( ( ! [SY312: $i,SY313: $i] :
            ~ ( ~ ( ~ ( elem @ SV15 @ ( cons @ SY312 @ SY313 ) )
                  | ( SV15 = SY312 )
                  | ( elem @ SV15 @ SY313 ) )
              | ~ ( ~ ( ( SV15 = SY312 )
                      | ( elem @ SV15 @ SY313 ) )
                  | ( elem @ SV15 @ ( cons @ SY312 @ SY313 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[217]) ).

thf(282,plain,
    ! [SV16: $i] :
      ( ( ! [SY314: $i,SY315: $i,SY316: $i] :
            ( ~ ( ( SY315 != SY316 ) )
            | ( ( m_Ack @ SV16 @ SY315 )
             != ( m_Ack @ SY314 @ SY316 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[218]) ).

thf(283,plain,
    ! [SV17: $i] :
      ( ( ! [SY317: $i,SY318: $i] :
            ( ( m_Ack @ SV17 @ SY317 )
           != ( m_Ldr @ SY318 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[219]) ).

thf(284,plain,
    ( ( elec_1 = norm )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[220]) ).

thf(285,plain,
    ( ( norm = wait )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[221]) ).

thf(286,plain,
    ! [SV18: $i] :
      ( ( ! [SY319: $i,SY320: $i] :
            ( ( m_Ack @ SV18 @ SY319 )
           != ( m_Halt @ SY320 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[222]) ).

thf(287,plain,
    ! [SV19: $i] :
      ( ( ! [SY321: $i,SY322: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX3: $i] :
                                    ( ~ ~ ( ~ ~ ( leq @ ( host @ SY322 ) @ SX3 )
                                          | ~ ( leq @ ( s @ zero ) @ SX3 ) )
                                    | ( setIn @ SX3 @ ( index @ down @ ( host @ SY322 ) ) )
                                    | ( SX3
                                      = ( host @ SY321 ) ) )
                              | ~ ~ ( leq @ ( host @ SY322 ) @ ( host @ SV19 ) ) )
                        | ~ ( elem @ ( m_Down @ SY321 ) @ ( queue @ ( host @ SY322 ) ) ) )
                  | ( ( index @ status @ ( host @ SY322 ) )
                   != elec_1 ) )
            | ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                        | ( ( index @ ldr @ ( host @ SV19 ) )
                         != ( host @ SV19 ) ) )
                  | ( ( index @ status @ ( host @ SV19 ) )
                   != norm ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[223]) ).

thf(288,plain,
    ! [SV20: $i] :
      ( ( ! [SY324: $i] :
            ( ( m_Ldr @ SV20 )
           != ( m_NormQ @ SY324 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[224]) ).

thf(289,plain,
    ! [SV21: $i] :
      ( ( ! [SY325: $i] :
            ( ~ ~ ( ~ ( ( SY325 != SV21 ) )
                  | ( ( host @ SY325 )
                   != ( host @ SV21 ) ) )
            | ~ ( setIn @ SV21 @ alive )
            | ~ ( setIn @ SY325 @ alive ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[225]) ).

thf(290,plain,
    ! [SV22: $i] :
      ( ( ! [SY326: $i,SY327: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV22 @ alive )
                                    | ~ ( setIn @ SY327 @ alive ) )
                              | ( ( host @ SY327 )
                               != ( host @ SY326 ) ) )
                        | ( ( index @ status @ ( host @ SV22 ) )
                         != elec_2 ) )
                  | ( ( index @ status @ ( host @ SY327 ) )
                   != elec_2 ) )
            | ~ ( elem @ ( m_Ack @ SV22 @ SY326 ) @ ( queue @ ( host @ SV22 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[226]) ).

thf(291,plain,
    ! [SV23: $i] :
      ( ( ! [SY328: $i,SY329: $i] :
            ( ( m_Ack @ SV23 @ SY328 )
           != ( m_Down @ SY329 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[227]) ).

thf(292,plain,
    ! [SV24: $i] :
      ( ( ! [SY330: $i,SY331: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SY331 @ alive )
                              | ~ ( elem @ ( m_Down @ SY330 ) @ ( queue @ ( host @ SY331 ) ) ) )
                        | ( ( host @ SY330 )
                         != ( host @ SV24 ) ) )
                  | ( ( index @ status @ ( host @ SY331 ) )
                   != elec_2 ) )
            | ~ ~ ( ~ ~ ( ~ ( setIn @ SV24 @ alive )
                        | ( ( index @ ldr @ ( host @ SV24 ) )
                         != ( host @ SV24 ) ) )
                  | ( ( index @ status @ ( host @ SV24 ) )
                   != norm ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[228]) ).

thf(293,plain,
    ! [SV25: $i] :
      ( ( ! [SY332: $i] :
            ~ ( ~ ( ~ ( ( SV25 != SY332 ) )
                  | ( ( m_Ldr @ SV25 )
                   != ( m_Ldr @ SY332 ) ) )
              | ~ ( ~ ( ( ( m_Ldr @ SV25 )
                       != ( m_Ldr @ SY332 ) ) )
                  | ( SV25 != SY332 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[229]) ).

thf(294,plain,
    ! [SV26: $i] :
      ( ( ! [SY333: $i,SY334: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( setIn @ SY334 @ alive )
                        | ~ ( elem @ ( m_Ack @ SY334 @ SY333 ) @ ( queue @ ( host @ SY334 ) ) ) )
                  | ( ( host @ SY333 )
                   != ( host @ SV26 ) ) )
            | ~ ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                        | ( ( index @ ldr @ ( host @ SV26 ) )
                         != ( host @ SV26 ) ) )
                  | ( ( index @ status @ ( host @ SV26 ) )
                   != norm ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[230]) ).

thf(295,plain,
    ! [SV27: $i] :
      ( ( ! [SY335: $i,SY336: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV27 @ alive )
                                    | ~ ( setIn @ SY336 @ alive ) )
                              | ~ ( elem @ ( m_Down @ SY335 ) @ ( queue @ ( host @ SV27 ) ) ) )
                        | ( ( host @ SY336 )
                         != ( host @ SY335 ) ) )
                  | ( ( index @ status @ ( host @ SY336 ) )
                   != elec_2 ) )
            | ( leq @ ( index @ pendack @ ( host @ SY336 ) ) @ ( host @ SV27 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[231]) ).

thf(296,plain,
    ! [SV28: $i] :
      ( ( ! [SY337: $i] :
            ( ~ ~ ( ~ ( setIn @ SY337 @ alive )
                  | ( ( index @ status @ ( host @ SY337 ) )
                   != elec_2 ) )
            | ~ ( elem @ ( m_Ack @ SV28 @ SY337 ) @ ( queue @ ( host @ SV28 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[232]) ).

thf(297,plain,
    ! [SV29: $i] :
      ( ( ! [SY338: $i] :
            ( ( m_Ldr @ SV29 )
           != ( m_Halt @ SY338 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[233]) ).

thf(298,plain,
    ! [SV30: $i] :
      ( ( ! [SY339: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( setIn @ SY339 @ alive )
                        | ( ( index @ status @ ( host @ SY339 ) )
                         != norm ) )
                  | ( ( index @ ldr @ ( host @ SY339 ) )
                   != ( host @ SY339 ) ) )
            | ~ ~ ( ~ ( setIn @ SV30 @ alive )
                  | ~ ( setIn @ ( host @ SY339 ) @ ( index @ down @ ( host @ SV30 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[234]) ).

thf(299,plain,
    ! [SV31: $i] :
      ( ( ! [SY340: $i,SY341: $i] :
            ( ~ ~ ( ~ ( leq @ SV31 @ SY340 )
                  | ~ ( leq @ SY340 @ SY341 ) )
            | ( leq @ SV31 @ SY341 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[235]) ).

thf(300,plain,
    ! [SV32: $i] :
      ( ( ! [SY342: $i,SY343: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SY343 @ alive )
                              | ( ( host @ SY342 )
                               != ( host @ SY343 ) ) )
                        | ( ( index @ status @ ( host @ SY343 ) )
                         != norm ) )
                  | ( ( index @ ldr @ ( host @ SY343 ) )
                   != ( host @ SY343 ) ) )
            | ~ ~ ( ~ ( setIn @ SV32 @ alive )
                  | ~ ( elem @ ( m_Down @ SY342 ) @ ( queue @ ( host @ SV32 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[236]) ).

thf(301,plain,
    ! [SV33: $i] :
      ( ( ! [SY344: $i] :
            ( ( m_Ldr @ SV33 )
           != ( m_NotNorm @ SY344 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[237]) ).

thf(302,plain,
    ! [SV34: $i] :
      ( ( ! [SY345: $i,SY346: $i] :
            ~ ( ~ ( ~ ( elem @ SV34 @ ( snoc @ SY346 @ SY345 ) )
                  | ( SV34 = SY345 )
                  | ( elem @ SV34 @ SY346 ) )
              | ~ ( ~ ( ( SV34 = SY345 )
                      | ( elem @ SV34 @ SY346 ) )
                  | ( elem @ SV34 @ ( snoc @ SY346 @ SY345 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[238]) ).

thf(303,plain,
    ! [SV35: $i] :
      ( ( ! [SY347: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV35 @ alive )
                              | ~ ( setIn @ SY347 @ alive ) )
                        | ~ ( setIn @ ( host @ SY347 ) @ ( index @ down @ ( host @ SV35 ) ) ) )
                  | ( ( index @ status @ ( host @ SY347 ) )
                   != elec_2 ) )
            | ( leq @ ( index @ pendack @ ( host @ SY347 ) ) @ ( host @ SV35 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[239]) ).

thf(304,plain,
    ( ( elec_2 = norm )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[240]) ).

thf(305,plain,
    ! [SV36: $i] :
      ( ( ! [SY348: $i] :
            ( q_nil
           != ( cons @ SV36 @ SY348 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[241]) ).

thf(306,plain,
    ! [SV37: $i] :
      ( ( ! [SY349: $i] :
            ( ( m_Down @ SV37 )
           != ( m_NotNorm @ SY349 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[242]) ).

thf(307,plain,
    ! [SV38: $i] :
      ( ( ! [SY350: $i] :
            ~ ( ~ ( ~ ~ ( ~ ( leq @ SV38 @ SY350 )
                        | ~ ( leq @ SY350 @ SV38 ) )
                  | ( SV38 = SY350 ) )
              | ~ ( ( SV38 != SY350 )
                  | ~ ( ~ ( leq @ SV38 @ SY350 )
                      | ~ ( leq @ SY350 @ SV38 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[243]) ).

thf(308,plain,
    ! [SV39: $i] :
      ( ( ! [SY351: $i,SY352: $i,SY353: $i] :
            ( ~ ( ( SV39 != SY351 ) )
            | ( ( m_Ack @ SV39 @ SY352 )
             != ( m_Ack @ SY351 @ SY353 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[244]) ).

thf(309,plain,
    ! [SV40: $i] :
      ( ( ! [SY354: $i] :
            ( ~ ( ( ( host @ SV40 )
                 != ( host @ SY354 ) ) )
            | ( SV40 != SY354 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[245]) ).

thf(310,plain,
    ( ( ! [SX0: $i] :
          ( ~ ~ ( setIn @ ( host @ SX0 ) @ setEmpty )
          | ! [SX1: $i] :
              ( ( ( host @ sK3_SY128 )
               != ( host @ SX1 ) )
              | ! [SX2: $i] :
                  ( ~ ( ( ( host @ sK3_SY128 )
                       != ( host @ SX2 ) ) )
                  | ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SX2 ) ) @ ( host @ SX1 ) )
                              | ~ ( setIn @ SX2 @ alive ) )
                        | ( ( index @ status @ ( host @ SX2 ) )
                         != elec_2 ) )
                  | ~ ~ ( ~ ( setIn @ SX1 @ alive )
                        | ( ( host @ sK3_SY128 )
                         != ( host @ SX1 ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[246]) ).

thf(311,plain,
    ! [SV41: $i] :
      ( ( ! [SY355: $i,SY356: $i] :
            ( ( m_Ack @ SV41 @ SY355 )
           != ( m_NotNorm @ SY356 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[247]) ).

thf(312,plain,
    ! [SV42: $i] :
      ( ( ! [SY357: $i] :
            ( ~ ( elem @ ( m_Ack @ SV42 @ SY357 ) @ ( queue @ ( host @ SV42 ) ) )
            | ~ ( ~ ( setIn @ SV42 @ pids )
                | ~ ( setIn @ SY357 @ pids ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[248]) ).

thf(313,plain,
    ! [SV43: $i] :
      ( ( ! [SY358: $i] :
            ( ( m_Down @ SV43 )
           != ( m_Ldr @ SY358 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[249]) ).

thf(314,plain,
    ! [SV44: $i] :
      ( ( ! [SY359: $i] :
            ~ ( ~ ( ~ ( leq @ SV44 @ ( s @ SY359 ) )
                  | ( SV44
                    = ( s @ SY359 ) )
                  | ( leq @ SV44 @ SY359 ) )
              | ~ ( ~ ( ( SV44
                        = ( s @ SY359 ) )
                      | ( leq @ SV44 @ SY359 ) )
                  | ( leq @ SV44 @ ( s @ SY359 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[250]) ).

thf(315,plain,
    ( ( elec_1 = wait )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[251]) ).

thf(316,plain,
    ! [SV45: $i] :
      ( ( ~ ~ ( ~ ( ( ( index @ status @ ( host @ SV45 ) )
                    = elec_1 )
                  | ( ( index @ status @ ( host @ SV45 ) )
                    = elec_2 ) )
              | ~ ( setIn @ SV45 @ alive ) )
        | ( ( index @ elid @ ( host @ SV45 ) )
          = SV45 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[252]) ).

thf(317,plain,
    ! [SV46: $i] :
      ( ( ! [SY360: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SY360 ) ) @ ( host @ SV46 ) )
                        | ~ ( setIn @ SY360 @ alive ) )
                  | ( ( index @ status @ ( host @ SY360 ) )
                   != elec_2 ) )
            | ~ ~ ( ~ ~ ( ~ ( setIn @ SV46 @ alive )
                        | ( ( index @ ldr @ ( host @ SV46 ) )
                         != ( host @ SV46 ) ) )
                  | ( ( index @ status @ ( host @ SV46 ) )
                   != norm ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[253]) ).

thf(318,plain,
    ! [SV47: $i] :
      ( ( ! [SY361: $i] :
            ( ~ ( elem @ ( m_Ldr @ SY361 ) @ ( queue @ ( host @ SV47 ) ) )
            | ~ ( leq @ ( host @ SV47 ) @ ( host @ SY361 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[254]) ).

thf(319,plain,
    ( ( ~ ( ( ( index @ ldr @ ( host @ sK3_SY128 ) )
           != ( host @ sK4_SY218 ) )
          | ( ( index @ status @ ( host @ sK3_SY128 ) )
           != norm ) )
      | ~ ( ( ( index @ status @ ( host @ sK3_SY128 ) )
           != wait )
          | ( ( host @ sK4_SY218 )
           != ( host @ ( index @ elid @ ( host @ sK3_SY128 ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[255]) ).

thf(320,plain,
    ! [SV48: $i] :
      ( ( ! [SY362: $i] :
            ~ ( ~ ( ~ ( leq @ SV48 @ SY362 )
                  | ( leq @ ( s @ SV48 ) @ ( s @ SY362 ) ) )
              | ~ ( ~ ( leq @ ( s @ SV48 ) @ ( s @ SY362 ) )
                  | ( leq @ SV48 @ SY362 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[256]) ).

thf(321,plain,
    ! [SV49: $i] :
      ( ( ! [SY363: $i,SY364: $i] :
            ( ( m_Ack @ SV49 @ SY363 )
           != ( m_NormQ @ SY364 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[257]) ).

thf(322,plain,
    ! [SV50: $i] :
      ( ( ! [SY365: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV50 ) @ ( host @ SY365 ) )
                                    | ~ ( setIn @ SV50 @ alive ) )
                              | ~ ( setIn @ SY365 @ alive ) )
                        | ( ( index @ status @ ( host @ SV50 ) )
                         != elec_2 ) )
                  | ( ( index @ status @ ( host @ SY365 ) )
                   != elec_2 ) )
            | ( leq @ ( index @ pendack @ ( host @ SY365 ) ) @ ( host @ SV50 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[258]) ).

thf(323,plain,
    ! [SV51: $i] :
      ( ( ! [SY366: $i] :
            ( ( m_Down @ SV51 )
           != ( m_Halt @ SY366 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[259]) ).

thf(324,plain,
    ! [SV52: $i] :
      ( ( ! [SY367: $i,SY368: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SY368 ) @ ( host @ SV52 ) )
                                    | ~ ( setIn @ SV52 @ alive ) )
                              | ~ ( setIn @ SY368 @ alive ) )
                        | ( ( host @ SY368 )
                         != ( host @ SY367 ) ) )
                  | ( ( index @ status @ ( host @ SY368 ) )
                   != elec_2 ) )
            | ~ ( elem @ ( m_Down @ SY367 ) @ ( queue @ ( host @ SV52 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[260]) ).

thf(325,plain,
    ( ( elec_2 = wait )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[261]) ).

thf(326,plain,
    ! [SV53: $i] :
      ( ( ! [SY369: $i] :
            ~ ( ~ ( ~ ( ( SV53 != SY369 ) )
                  | ( ( m_Down @ SV53 )
                   != ( m_Down @ SY369 ) ) )
              | ~ ( ~ ( ( ( m_Down @ SV53 )
                       != ( m_Down @ SY369 ) ) )
                  | ( SV53 != SY369 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[262]) ).

thf(327,plain,
    ! [SV54: $i] :
      ( ( ! [SY370: $i] :
            ( ( ( s @ ( host @ SV54 ) )
             != ( host @ SY370 ) )
            | ( ( host @ SV54 )
             != ( host @ SY370 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[263]) ).

thf(328,plain,
    ! [SV55: $i,SV3: $i] :
      ( ( ( head @ ( cons @ SV3 @ SV55 ) )
        = SV3 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[267]) ).

thf(329,plain,
    ! [SV56: $i,SV4: $i] :
      ( ( ( tail @ ( cons @ SV4 @ SV56 ) )
        = SV56 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[268]) ).

thf(330,plain,
    ! [SV57: $i,SV5: $i] :
      ( ( ! [SY371: $i] :
            ( ( snoc @ ( cons @ SV5 @ SY371 ) @ SV57 )
            = ( cons @ SV5 @ ( snoc @ SY371 @ SV57 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[269]) ).

thf(331,plain,
    ! [SV6: $i] :
      ( ( elem @ SV6 @ q_nil )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[270]) ).

thf(332,plain,
    ! [SV8: $i] :
      ( ( leq @ ( s @ SV8 ) @ SV8 )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[272]) ).

thf(333,plain,
    ! [SV58: $i,SV10: $i] :
      ( ( ( leq @ SV10 @ SV58 )
        | ( leq @ SV58 @ SV10 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[274]) ).

thf(334,plain,
    ! [SV11: $i] :
      ( ( setIn @ SV11 @ setEmpty )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[275]) ).

thf(335,plain,
    ! [SV59: $i,SV12: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV12 ) @ ( host @ SV59 ) )
                                | ~ ( setIn @ SV12 @ alive ) )
                          | ~ ( setIn @ SV59 @ alive ) )
                    | ( ( index @ status @ ( host @ SV12 ) )
                     != elec_2 ) )
              | ( ( index @ status @ ( host @ SV59 ) )
               != elec_2 ) )
        | ~ ( leq @ ( index @ pendack @ ( host @ SV12 ) ) @ ( index @ pendack @ ( host @ SV59 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[277]) ).

thf(336,plain,
    ! [SV60: $i,SV13: $i] :
      ( ( ( m_Down @ SV13 )
       != ( m_NormQ @ SV60 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[279]) ).

thf(337,plain,
    ! [SV14: $i] :
      ( ( ( ~ ~ ( ~ ~ ( leq @ ( host @ sK3_SY128 ) @ SV14 )
                | ~ ( leq @ ( s @ zero ) @ SV14 ) ) )
        = $true )
      | ( ( ( setIn @ SV14 @ ( index @ down @ ( host @ sK3_SY128 ) ) )
          | ( SV14
            = ( host @ sK4_SY218 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[280]) ).

thf(338,plain,
    ! [SV61: $i,SV15: $i] :
      ( ( ! [SY372: $i] :
            ~ ( ~ ( ~ ( elem @ SV15 @ ( cons @ SV61 @ SY372 ) )
                  | ( SV15 = SV61 )
                  | ( elem @ SV15 @ SY372 ) )
              | ~ ( ~ ( ( SV15 = SV61 )
                      | ( elem @ SV15 @ SY372 ) )
                  | ( elem @ SV15 @ ( cons @ SV61 @ SY372 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[281]) ).

thf(339,plain,
    ! [SV62: $i,SV16: $i] :
      ( ( ! [SY373: $i,SY374: $i] :
            ( ~ ( ( SY373 != SY374 ) )
            | ( ( m_Ack @ SV16 @ SY373 )
             != ( m_Ack @ SV62 @ SY374 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[282]) ).

thf(340,plain,
    ! [SV63: $i,SV17: $i] :
      ( ( ! [SY375: $i] :
            ( ( m_Ack @ SV17 @ SV63 )
           != ( m_Ldr @ SY375 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[283]) ).

thf(341,plain,
    ! [SV64: $i,SV18: $i] :
      ( ( ! [SY376: $i] :
            ( ( m_Ack @ SV18 @ SV64 )
           != ( m_Halt @ SY376 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[286]) ).

thf(342,plain,
    ! [SV19: $i,SV65: $i] :
      ( ( ! [SY377: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY378: $i] :
                                    ( ~ ~ ( ~ ~ ( leq @ ( host @ SY377 ) @ SY378 )
                                          | ~ ( leq @ ( s @ zero ) @ SY378 ) )
                                    | ( setIn @ SY378 @ ( index @ down @ ( host @ SY377 ) ) )
                                    | ( SY378
                                      = ( host @ SV65 ) ) )
                              | ~ ~ ( leq @ ( host @ SY377 ) @ ( host @ SV19 ) ) )
                        | ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SY377 ) ) ) )
                  | ( ( index @ status @ ( host @ SY377 ) )
                   != elec_1 ) )
            | ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                        | ( ( index @ ldr @ ( host @ SV19 ) )
                         != ( host @ SV19 ) ) )
                  | ( ( index @ status @ ( host @ SV19 ) )
                   != norm ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[287]) ).

thf(343,plain,
    ! [SV66: $i,SV20: $i] :
      ( ( ( m_Ldr @ SV20 )
       != ( m_NormQ @ SV66 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[288]) ).

thf(344,plain,
    ! [SV21: $i,SV67: $i] :
      ( ( ~ ~ ( ~ ( ( SV67 != SV21 ) )
              | ( ( host @ SV67 )
               != ( host @ SV21 ) ) )
        | ~ ( setIn @ SV21 @ alive )
        | ~ ( setIn @ SV67 @ alive ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[289]) ).

thf(345,plain,
    ! [SV68: $i,SV22: $i] :
      ( ( ! [SY379: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV22 @ alive )
                                    | ~ ( setIn @ SY379 @ alive ) )
                              | ( ( host @ SY379 )
                               != ( host @ SV68 ) ) )
                        | ( ( index @ status @ ( host @ SV22 ) )
                         != elec_2 ) )
                  | ( ( index @ status @ ( host @ SY379 ) )
                   != elec_2 ) )
            | ~ ( elem @ ( m_Ack @ SV22 @ SV68 ) @ ( queue @ ( host @ SV22 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[290]) ).

thf(346,plain,
    ! [SV69: $i,SV23: $i] :
      ( ( ! [SY380: $i] :
            ( ( m_Ack @ SV23 @ SV69 )
           != ( m_Down @ SY380 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[291]) ).

thf(347,plain,
    ! [SV24: $i,SV70: $i] :
      ( ( ! [SY381: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SY381 @ alive )
                              | ~ ( elem @ ( m_Down @ SV70 ) @ ( queue @ ( host @ SY381 ) ) ) )
                        | ( ( host @ SV70 )
                         != ( host @ SV24 ) ) )
                  | ( ( index @ status @ ( host @ SY381 ) )
                   != elec_2 ) )
            | ~ ~ ( ~ ~ ( ~ ( setIn @ SV24 @ alive )
                        | ( ( index @ ldr @ ( host @ SV24 ) )
                         != ( host @ SV24 ) ) )
                  | ( ( index @ status @ ( host @ SV24 ) )
                   != norm ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[292]) ).

thf(348,plain,
    ! [SV71: $i,SV25: $i] :
      ( ( ~ ( ~ ( ~ ( ( SV25 != SV71 ) )
                | ( ( m_Ldr @ SV25 )
                 != ( m_Ldr @ SV71 ) ) )
            | ~ ( ~ ( ( ( m_Ldr @ SV25 )
                     != ( m_Ldr @ SV71 ) ) )
                | ( SV25 != SV71 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[293]) ).

thf(349,plain,
    ! [SV26: $i,SV72: $i] :
      ( ( ! [SY382: $i] :
            ( ~ ~ ( ~ ~ ( ~ ( setIn @ SY382 @ alive )
                        | ~ ( elem @ ( m_Ack @ SY382 @ SV72 ) @ ( queue @ ( host @ SY382 ) ) ) )
                  | ( ( host @ SV72 )
                   != ( host @ SV26 ) ) )
            | ~ ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                        | ( ( index @ ldr @ ( host @ SV26 ) )
                         != ( host @ SV26 ) ) )
                  | ( ( index @ status @ ( host @ SV26 ) )
                   != norm ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[294]) ).

thf(350,plain,
    ! [SV73: $i,SV27: $i] :
      ( ( ! [SY383: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV27 @ alive )
                                    | ~ ( setIn @ SY383 @ alive ) )
                              | ~ ( elem @ ( m_Down @ SV73 ) @ ( queue @ ( host @ SV27 ) ) ) )
                        | ( ( host @ SY383 )
                         != ( host @ SV73 ) ) )
                  | ( ( index @ status @ ( host @ SY383 ) )
                   != elec_2 ) )
            | ( leq @ ( index @ pendack @ ( host @ SY383 ) ) @ ( host @ SV27 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[295]) ).

thf(351,plain,
    ! [SV28: $i,SV74: $i] :
      ( ( ~ ~ ( ~ ( setIn @ SV74 @ alive )
              | ( ( index @ status @ ( host @ SV74 ) )
               != elec_2 ) )
        | ~ ( elem @ ( m_Ack @ SV28 @ SV74 ) @ ( queue @ ( host @ SV28 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[296]) ).

thf(352,plain,
    ! [SV75: $i,SV29: $i] :
      ( ( ( m_Ldr @ SV29 )
       != ( m_Halt @ SV75 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[297]) ).

thf(353,plain,
    ! [SV30: $i,SV76: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV76 @ alive )
                    | ( ( index @ status @ ( host @ SV76 ) )
                     != norm ) )
              | ( ( index @ ldr @ ( host @ SV76 ) )
               != ( host @ SV76 ) ) )
        | ~ ~ ( ~ ( setIn @ SV30 @ alive )
              | ~ ( setIn @ ( host @ SV76 ) @ ( index @ down @ ( host @ SV30 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[298]) ).

thf(354,plain,
    ! [SV77: $i,SV31: $i] :
      ( ( ! [SY384: $i] :
            ( ~ ~ ( ~ ( leq @ SV31 @ SV77 )
                  | ~ ( leq @ SV77 @ SY384 ) )
            | ( leq @ SV31 @ SY384 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[299]) ).

thf(355,plain,
    ! [SV32: $i,SV78: $i] :
      ( ( ! [SY385: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SY385 @ alive )
                              | ( ( host @ SV78 )
                               != ( host @ SY385 ) ) )
                        | ( ( index @ status @ ( host @ SY385 ) )
                         != norm ) )
                  | ( ( index @ ldr @ ( host @ SY385 ) )
                   != ( host @ SY385 ) ) )
            | ~ ~ ( ~ ( setIn @ SV32 @ alive )
                  | ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV32 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[300]) ).

thf(356,plain,
    ! [SV79: $i,SV33: $i] :
      ( ( ( m_Ldr @ SV33 )
       != ( m_NotNorm @ SV79 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[301]) ).

thf(357,plain,
    ! [SV80: $i,SV34: $i] :
      ( ( ! [SY386: $i] :
            ~ ( ~ ( ~ ( elem @ SV34 @ ( snoc @ SY386 @ SV80 ) )
                  | ( SV34 = SV80 )
                  | ( elem @ SV34 @ SY386 ) )
              | ~ ( ~ ( ( SV34 = SV80 )
                      | ( elem @ SV34 @ SY386 ) )
                  | ( elem @ SV34 @ ( snoc @ SY386 @ SV80 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[302]) ).

thf(358,plain,
    ! [SV81: $i,SV35: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV35 @ alive )
                          | ~ ( setIn @ SV81 @ alive ) )
                    | ~ ( setIn @ ( host @ SV81 ) @ ( index @ down @ ( host @ SV35 ) ) ) )
              | ( ( index @ status @ ( host @ SV81 ) )
               != elec_2 ) )
        | ( leq @ ( index @ pendack @ ( host @ SV81 ) ) @ ( host @ SV35 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[303]) ).

thf(359,plain,
    ! [SV82: $i,SV36: $i] :
      ( ( q_nil
       != ( cons @ SV36 @ SV82 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[305]) ).

thf(360,plain,
    ! [SV83: $i,SV37: $i] :
      ( ( ( m_Down @ SV37 )
       != ( m_NotNorm @ SV83 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[306]) ).

thf(361,plain,
    ! [SV84: $i,SV38: $i] :
      ( ( ~ ( ~ ( ~ ~ ( ~ ( leq @ SV38 @ SV84 )
                      | ~ ( leq @ SV84 @ SV38 ) )
                | ( SV38 = SV84 ) )
            | ~ ( ( SV38 != SV84 )
                | ~ ( ~ ( leq @ SV38 @ SV84 )
                    | ~ ( leq @ SV84 @ SV38 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[307]) ).

thf(362,plain,
    ! [SV85: $i,SV39: $i] :
      ( ( ! [SY387: $i,SY388: $i] :
            ( ~ ( ( SV39 != SV85 ) )
            | ( ( m_Ack @ SV39 @ SY387 )
             != ( m_Ack @ SV85 @ SY388 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[308]) ).

thf(363,plain,
    ! [SV86: $i,SV40: $i] :
      ( ( ~ ( ( ( host @ SV40 )
             != ( host @ SV86 ) ) )
        | ( SV40 != SV86 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[309]) ).

thf(364,plain,
    ( ( ~ ~ ( setIn @ ( host @ sK5_SX0 ) @ setEmpty )
      | ! [SX1: $i] :
          ( ( ( host @ sK3_SY128 )
           != ( host @ SX1 ) )
          | ! [SX2: $i] :
              ( ~ ( ( ( host @ sK3_SY128 )
                   != ( host @ SX2 ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SX2 ) ) @ ( host @ SX1 ) )
                          | ~ ( setIn @ SX2 @ alive ) )
                    | ( ( index @ status @ ( host @ SX2 ) )
                     != elec_2 ) )
              | ~ ~ ( ~ ( setIn @ SX1 @ alive )
                    | ( ( host @ sK3_SY128 )
                     != ( host @ SX1 ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[310]) ).

thf(365,plain,
    ! [SV87: $i,SV41: $i] :
      ( ( ! [SY391: $i] :
            ( ( m_Ack @ SV41 @ SV87 )
           != ( m_NotNorm @ SY391 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[311]) ).

thf(366,plain,
    ! [SV88: $i,SV42: $i] :
      ( ( ~ ( elem @ ( m_Ack @ SV42 @ SV88 ) @ ( queue @ ( host @ SV42 ) ) )
        | ~ ( ~ ( setIn @ SV42 @ pids )
            | ~ ( setIn @ SV88 @ pids ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[312]) ).

thf(367,plain,
    ! [SV89: $i,SV43: $i] :
      ( ( ( m_Down @ SV43 )
       != ( m_Ldr @ SV89 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[313]) ).

thf(368,plain,
    ! [SV90: $i,SV44: $i] :
      ( ( ~ ( ~ ( ~ ( leq @ SV44 @ ( s @ SV90 ) )
                | ( SV44
                  = ( s @ SV90 ) )
                | ( leq @ SV44 @ SV90 ) )
            | ~ ( ~ ( ( SV44
                      = ( s @ SV90 ) )
                    | ( leq @ SV44 @ SV90 ) )
                | ( leq @ SV44 @ ( s @ SV90 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[314]) ).

thf(369,plain,
    ! [SV45: $i] :
      ( ( ( ~ ~ ( ~ ( ( ( index @ status @ ( host @ SV45 ) )
                      = elec_1 )
                    | ( ( index @ status @ ( host @ SV45 ) )
                      = elec_2 ) )
                | ~ ( setIn @ SV45 @ alive ) ) )
        = $true )
      | ( ( ( index @ elid @ ( host @ SV45 ) )
          = SV45 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[316]) ).

thf(370,plain,
    ! [SV46: $i,SV91: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV91 ) ) @ ( host @ SV46 ) )
                    | ~ ( setIn @ SV91 @ alive ) )
              | ( ( index @ status @ ( host @ SV91 ) )
               != elec_2 ) )
        | ~ ~ ( ~ ~ ( ~ ( setIn @ SV46 @ alive )
                    | ( ( index @ ldr @ ( host @ SV46 ) )
                     != ( host @ SV46 ) ) )
              | ( ( index @ status @ ( host @ SV46 ) )
               != norm ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[317]) ).

thf(371,plain,
    ! [SV47: $i,SV92: $i] :
      ( ( ~ ( elem @ ( m_Ldr @ SV92 ) @ ( queue @ ( host @ SV47 ) ) )
        | ~ ( leq @ ( host @ SV47 ) @ ( host @ SV92 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[318]) ).

thf(372,plain,
    ( ( ~ ( ( ( index @ ldr @ ( host @ sK3_SY128 ) )
           != ( host @ sK4_SY218 ) )
          | ( ( index @ status @ ( host @ sK3_SY128 ) )
           != norm ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[319]) ).

thf(373,plain,
    ( ( ~ ( ( ( index @ status @ ( host @ sK3_SY128 ) )
           != wait )
          | ( ( host @ sK4_SY218 )
           != ( host @ ( index @ elid @ ( host @ sK3_SY128 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[319]) ).

thf(374,plain,
    ! [SV93: $i,SV48: $i] :
      ( ( ~ ( ~ ( ~ ( leq @ SV48 @ SV93 )
                | ( leq @ ( s @ SV48 ) @ ( s @ SV93 ) ) )
            | ~ ( ~ ( leq @ ( s @ SV48 ) @ ( s @ SV93 ) )
                | ( leq @ SV48 @ SV93 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[320]) ).

thf(375,plain,
    ! [SV94: $i,SV49: $i] :
      ( ( ! [SY392: $i] :
            ( ( m_Ack @ SV49 @ SV94 )
           != ( m_NormQ @ SY392 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[321]) ).

thf(376,plain,
    ! [SV95: $i,SV50: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV50 ) @ ( host @ SV95 ) )
                                | ~ ( setIn @ SV50 @ alive ) )
                          | ~ ( setIn @ SV95 @ alive ) )
                    | ( ( index @ status @ ( host @ SV50 ) )
                     != elec_2 ) )
              | ( ( index @ status @ ( host @ SV95 ) )
               != elec_2 ) )
        | ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV50 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[322]) ).

thf(377,plain,
    ! [SV96: $i,SV51: $i] :
      ( ( ( m_Down @ SV51 )
       != ( m_Halt @ SV96 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[323]) ).

thf(378,plain,
    ! [SV97: $i,SV52: $i] :
      ( ( ! [SY393: $i] :
            ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SY393 ) @ ( host @ SV52 ) )
                                    | ~ ( setIn @ SV52 @ alive ) )
                              | ~ ( setIn @ SY393 @ alive ) )
                        | ( ( host @ SY393 )
                         != ( host @ SV97 ) ) )
                  | ( ( index @ status @ ( host @ SY393 ) )
                   != elec_2 ) )
            | ~ ( elem @ ( m_Down @ SV97 ) @ ( queue @ ( host @ SV52 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[324]) ).

thf(379,plain,
    ! [SV98: $i,SV53: $i] :
      ( ( ~ ( ~ ( ~ ( ( SV53 != SV98 ) )
                | ( ( m_Down @ SV53 )
                 != ( m_Down @ SV98 ) ) )
            | ~ ( ~ ( ( ( m_Down @ SV53 )
                     != ( m_Down @ SV98 ) ) )
                | ( SV53 != SV98 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[326]) ).

thf(380,plain,
    ! [SV99: $i,SV54: $i] :
      ( ( ( ( s @ ( host @ SV54 ) )
         != ( host @ SV99 ) )
        | ( ( host @ SV54 )
         != ( host @ SV99 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[327]) ).

thf(381,plain,
    ! [SV57: $i,SV100: $i,SV5: $i] :
      ( ( ( snoc @ ( cons @ SV5 @ SV100 ) @ SV57 )
        = ( cons @ SV5 @ ( snoc @ SV100 @ SV57 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[330]) ).

thf(382,plain,
    ! [SV58: $i,SV10: $i] :
      ( ( ( leq @ SV10 @ SV58 )
        = $true )
      | ( ( leq @ SV58 @ SV10 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[333]) ).

thf(383,plain,
    ! [SV59: $i,SV12: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV12 ) @ ( host @ SV59 ) )
                                  | ~ ( setIn @ SV12 @ alive ) )
                            | ~ ( setIn @ SV59 @ alive ) )
                      | ( ( index @ status @ ( host @ SV12 ) )
                       != elec_2 ) )
                | ( ( index @ status @ ( host @ SV59 ) )
                 != elec_2 ) ) )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV12 ) ) @ ( index @ pendack @ ( host @ SV59 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[335]) ).

thf(384,plain,
    ! [SV60: $i,SV13: $i] :
      ( ( ( m_Down @ SV13 )
        = ( m_NormQ @ SV60 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[336]) ).

thf(385,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( ~ ~ ( leq @ ( host @ sK3_SY128 ) @ SV14 )
              | ~ ( leq @ ( s @ zero ) @ SV14 ) ) )
        = $false )
      | ( ( ( setIn @ SV14 @ ( index @ down @ ( host @ sK3_SY128 ) ) )
          | ( SV14
            = ( host @ sK4_SY218 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[337]) ).

thf(386,plain,
    ! [SV101: $i,SV61: $i,SV15: $i] :
      ( ( ~ ( ~ ( ~ ( elem @ SV15 @ ( cons @ SV61 @ SV101 ) )
                | ( SV15 = SV61 )
                | ( elem @ SV15 @ SV101 ) )
            | ~ ( ~ ( ( SV15 = SV61 )
                    | ( elem @ SV15 @ SV101 ) )
                | ( elem @ SV15 @ ( cons @ SV61 @ SV101 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[338]) ).

thf(387,plain,
    ! [SV62: $i,SV16: $i,SV102: $i] :
      ( ( ! [SY394: $i] :
            ( ~ ( ( SV102 != SY394 ) )
            | ( ( m_Ack @ SV16 @ SV102 )
             != ( m_Ack @ SV62 @ SY394 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[339]) ).

thf(388,plain,
    ! [SV103: $i,SV63: $i,SV17: $i] :
      ( ( ( m_Ack @ SV17 @ SV63 )
       != ( m_Ldr @ SV103 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[340]) ).

thf(389,plain,
    ! [SV104: $i,SV64: $i,SV18: $i] :
      ( ( ( m_Ack @ SV18 @ SV64 )
       != ( m_Halt @ SV104 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[341]) ).

thf(390,plain,
    ! [SV19: $i,SV65: $i,SV105: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY395: $i] :
                                ( ~ ~ ( ~ ~ ( leq @ ( host @ SV105 ) @ SY395 )
                                      | ~ ( leq @ ( s @ zero ) @ SY395 ) )
                                | ( setIn @ SY395 @ ( index @ down @ ( host @ SV105 ) ) )
                                | ( SY395
                                  = ( host @ SV65 ) ) )
                          | ~ ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
                    | ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
              | ( ( index @ status @ ( host @ SV105 ) )
               != elec_1 ) )
        | ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                    | ( ( index @ ldr @ ( host @ SV19 ) )
                     != ( host @ SV19 ) ) )
              | ( ( index @ status @ ( host @ SV19 ) )
               != norm ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[342]) ).

thf(391,plain,
    ! [SV66: $i,SV20: $i] :
      ( ( ( m_Ldr @ SV20 )
        = ( m_NormQ @ SV66 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[343]) ).

thf(392,plain,
    ! [SV21: $i,SV67: $i] :
      ( ( ( ~ ~ ( ~ ( ( SV67 != SV21 ) )
                | ( ( host @ SV67 )
                 != ( host @ SV21 ) ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV21 @ alive )
          | ~ ( setIn @ SV67 @ alive ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[344]) ).

thf(393,plain,
    ! [SV68: $i,SV106: $i,SV22: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV22 @ alive )
                                | ~ ( setIn @ SV106 @ alive ) )
                          | ( ( host @ SV106 )
                           != ( host @ SV68 ) ) )
                    | ( ( index @ status @ ( host @ SV22 ) )
                     != elec_2 ) )
              | ( ( index @ status @ ( host @ SV106 ) )
               != elec_2 ) )
        | ~ ( elem @ ( m_Ack @ SV22 @ SV68 ) @ ( queue @ ( host @ SV22 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[345]) ).

thf(394,plain,
    ! [SV107: $i,SV69: $i,SV23: $i] :
      ( ( ( m_Ack @ SV23 @ SV69 )
       != ( m_Down @ SV107 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[346]) ).

thf(395,plain,
    ! [SV24: $i,SV70: $i,SV108: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV108 @ alive )
                          | ~ ( elem @ ( m_Down @ SV70 ) @ ( queue @ ( host @ SV108 ) ) ) )
                    | ( ( host @ SV70 )
                     != ( host @ SV24 ) ) )
              | ( ( index @ status @ ( host @ SV108 ) )
               != elec_2 ) )
        | ~ ~ ( ~ ~ ( ~ ( setIn @ SV24 @ alive )
                    | ( ( index @ ldr @ ( host @ SV24 ) )
                     != ( host @ SV24 ) ) )
              | ( ( index @ status @ ( host @ SV24 ) )
               != norm ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[347]) ).

thf(396,plain,
    ! [SV71: $i,SV25: $i] :
      ( ( ~ ( ~ ( ( SV25 != SV71 ) )
            | ( ( m_Ldr @ SV25 )
             != ( m_Ldr @ SV71 ) ) )
        | ~ ( ~ ( ( ( m_Ldr @ SV25 )
                 != ( m_Ldr @ SV71 ) ) )
            | ( SV25 != SV71 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[348]) ).

thf(397,plain,
    ! [SV26: $i,SV72: $i,SV109: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV109 @ alive )
                    | ~ ( elem @ ( m_Ack @ SV109 @ SV72 ) @ ( queue @ ( host @ SV109 ) ) ) )
              | ( ( host @ SV72 )
               != ( host @ SV26 ) ) )
        | ~ ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                    | ( ( index @ ldr @ ( host @ SV26 ) )
                     != ( host @ SV26 ) ) )
              | ( ( index @ status @ ( host @ SV26 ) )
               != norm ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[349]) ).

thf(398,plain,
    ! [SV73: $i,SV110: $i,SV27: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV27 @ alive )
                                | ~ ( setIn @ SV110 @ alive ) )
                          | ~ ( elem @ ( m_Down @ SV73 ) @ ( queue @ ( host @ SV27 ) ) ) )
                    | ( ( host @ SV110 )
                     != ( host @ SV73 ) ) )
              | ( ( index @ status @ ( host @ SV110 ) )
               != elec_2 ) )
        | ( leq @ ( index @ pendack @ ( host @ SV110 ) ) @ ( host @ SV27 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[350]) ).

thf(399,plain,
    ! [SV28: $i,SV74: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV74 @ alive )
                | ( ( index @ status @ ( host @ SV74 ) )
                 != elec_2 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV28 @ SV74 ) @ ( queue @ ( host @ SV28 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[351]) ).

thf(400,plain,
    ! [SV75: $i,SV29: $i] :
      ( ( ( m_Ldr @ SV29 )
        = ( m_Halt @ SV75 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[352]) ).

thf(401,plain,
    ! [SV30: $i,SV76: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV76 @ alive )
                      | ( ( index @ status @ ( host @ SV76 ) )
                       != norm ) )
                | ( ( index @ ldr @ ( host @ SV76 ) )
                 != ( host @ SV76 ) ) ) )
        = $true )
      | ( ( ~ ~ ( ~ ( setIn @ SV30 @ alive )
                | ~ ( setIn @ ( host @ SV76 ) @ ( index @ down @ ( host @ SV30 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[353]) ).

thf(402,plain,
    ! [SV111: $i,SV77: $i,SV31: $i] :
      ( ( ~ ~ ( ~ ( leq @ SV31 @ SV77 )
              | ~ ( leq @ SV77 @ SV111 ) )
        | ( leq @ SV31 @ SV111 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[354]) ).

thf(403,plain,
    ! [SV32: $i,SV78: $i,SV112: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV112 @ alive )
                          | ( ( host @ SV78 )
                           != ( host @ SV112 ) ) )
                    | ( ( index @ status @ ( host @ SV112 ) )
                     != norm ) )
              | ( ( index @ ldr @ ( host @ SV112 ) )
               != ( host @ SV112 ) ) )
        | ~ ~ ( ~ ( setIn @ SV32 @ alive )
              | ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV32 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[355]) ).

thf(404,plain,
    ! [SV79: $i,SV33: $i] :
      ( ( ( m_Ldr @ SV33 )
        = ( m_NotNorm @ SV79 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[356]) ).

thf(405,plain,
    ! [SV80: $i,SV113: $i,SV34: $i] :
      ( ( ~ ( ~ ( ~ ( elem @ SV34 @ ( snoc @ SV113 @ SV80 ) )
                | ( SV34 = SV80 )
                | ( elem @ SV34 @ SV113 ) )
            | ~ ( ~ ( ( SV34 = SV80 )
                    | ( elem @ SV34 @ SV113 ) )
                | ( elem @ SV34 @ ( snoc @ SV113 @ SV80 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[357]) ).

thf(406,plain,
    ! [SV81: $i,SV35: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV35 @ alive )
                            | ~ ( setIn @ SV81 @ alive ) )
                      | ~ ( setIn @ ( host @ SV81 ) @ ( index @ down @ ( host @ SV35 ) ) ) )
                | ( ( index @ status @ ( host @ SV81 ) )
                 != elec_2 ) ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV81 ) ) @ ( host @ SV35 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[358]) ).

thf(407,plain,
    ! [SV82: $i,SV36: $i] :
      ( ( q_nil
        = ( cons @ SV36 @ SV82 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[359]) ).

thf(408,plain,
    ! [SV83: $i,SV37: $i] :
      ( ( ( m_Down @ SV37 )
        = ( m_NotNorm @ SV83 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[360]) ).

thf(409,plain,
    ! [SV84: $i,SV38: $i] :
      ( ( ~ ( ~ ~ ( ~ ( leq @ SV38 @ SV84 )
                  | ~ ( leq @ SV84 @ SV38 ) )
            | ( SV38 = SV84 ) )
        | ~ ( ( SV38 != SV84 )
            | ~ ( ~ ( leq @ SV38 @ SV84 )
                | ~ ( leq @ SV84 @ SV38 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[361]) ).

thf(410,plain,
    ! [SV114: $i,SV85: $i,SV39: $i] :
      ( ( ! [SY396: $i] :
            ( ~ ( ( SV39 != SV85 ) )
            | ( ( m_Ack @ SV39 @ SV114 )
             != ( m_Ack @ SV85 @ SY396 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[362]) ).

thf(411,plain,
    ! [SV86: $i,SV40: $i] :
      ( ( ( ~ ( ( ( host @ SV40 )
               != ( host @ SV86 ) ) ) )
        = $true )
      | ( ( SV40 != SV86 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[363]) ).

thf(412,plain,
    ( ( ~ ~ ( setIn @ ( host @ sK5_SX0 ) @ setEmpty ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[364]) ).

thf(413,plain,
    ( ( ! [SX1: $i] :
          ( ( ( host @ sK3_SY128 )
           != ( host @ SX1 ) )
          | ! [SX2: $i] :
              ( ~ ( ( ( host @ sK3_SY128 )
                   != ( host @ SX2 ) ) )
              | ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SX2 ) ) @ ( host @ SX1 ) )
                          | ~ ( setIn @ SX2 @ alive ) )
                    | ( ( index @ status @ ( host @ SX2 ) )
                     != elec_2 ) )
              | ~ ~ ( ~ ( setIn @ SX1 @ alive )
                    | ( ( host @ sK3_SY128 )
                     != ( host @ SX1 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[364]) ).

thf(414,plain,
    ! [SV115: $i,SV87: $i,SV41: $i] :
      ( ( ( m_Ack @ SV41 @ SV87 )
       != ( m_NotNorm @ SV115 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[365]) ).

thf(415,plain,
    ! [SV88: $i,SV42: $i] :
      ( ( ( ~ ( elem @ ( m_Ack @ SV42 @ SV88 ) @ ( queue @ ( host @ SV42 ) ) ) )
        = $true )
      | ( ( ~ ( ~ ( setIn @ SV42 @ pids )
              | ~ ( setIn @ SV88 @ pids ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[366]) ).

thf(416,plain,
    ! [SV89: $i,SV43: $i] :
      ( ( ( m_Down @ SV43 )
        = ( m_Ldr @ SV89 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[367]) ).

thf(417,plain,
    ! [SV90: $i,SV44: $i] :
      ( ( ~ ( ~ ( leq @ SV44 @ ( s @ SV90 ) )
            | ( SV44
              = ( s @ SV90 ) )
            | ( leq @ SV44 @ SV90 ) )
        | ~ ( ~ ( ( SV44
                  = ( s @ SV90 ) )
                | ( leq @ SV44 @ SV90 ) )
            | ( leq @ SV44 @ ( s @ SV90 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[368]) ).

thf(418,plain,
    ! [SV45: $i] :
      ( ( ( ~ ( ~ ( ( ( index @ status @ ( host @ SV45 ) )
                    = elec_1 )
                  | ( ( index @ status @ ( host @ SV45 ) )
                    = elec_2 ) )
              | ~ ( setIn @ SV45 @ alive ) ) )
        = $false )
      | ( ( ( index @ elid @ ( host @ SV45 ) )
          = SV45 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[369]) ).

thf(419,plain,
    ! [SV46: $i,SV91: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV91 ) ) @ ( host @ SV46 ) )
                      | ~ ( setIn @ SV91 @ alive ) )
                | ( ( index @ status @ ( host @ SV91 ) )
                 != elec_2 ) ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV46 @ alive )
                      | ( ( index @ ldr @ ( host @ SV46 ) )
                       != ( host @ SV46 ) ) )
                | ( ( index @ status @ ( host @ SV46 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[370]) ).

thf(420,plain,
    ! [SV47: $i,SV92: $i] :
      ( ( ( ~ ( elem @ ( m_Ldr @ SV92 ) @ ( queue @ ( host @ SV47 ) ) ) )
        = $true )
      | ( ( ~ ( leq @ ( host @ SV47 ) @ ( host @ SV92 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[371]) ).

thf(421,plain,
    ( ( ( ( index @ ldr @ ( host @ sK3_SY128 ) )
       != ( host @ sK4_SY218 ) )
      | ( ( index @ status @ ( host @ sK3_SY128 ) )
       != norm ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[372]) ).

thf(422,plain,
    ( ( ( ( index @ status @ ( host @ sK3_SY128 ) )
       != wait )
      | ( ( host @ sK4_SY218 )
       != ( host @ ( index @ elid @ ( host @ sK3_SY128 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[373]) ).

thf(423,plain,
    ! [SV93: $i,SV48: $i] :
      ( ( ~ ( ~ ( leq @ SV48 @ SV93 )
            | ( leq @ ( s @ SV48 ) @ ( s @ SV93 ) ) )
        | ~ ( ~ ( leq @ ( s @ SV48 ) @ ( s @ SV93 ) )
            | ( leq @ SV48 @ SV93 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[374]) ).

thf(424,plain,
    ! [SV116: $i,SV94: $i,SV49: $i] :
      ( ( ( m_Ack @ SV49 @ SV94 )
       != ( m_NormQ @ SV116 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[375]) ).

thf(425,plain,
    ! [SV95: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV50 ) @ ( host @ SV95 ) )
                                  | ~ ( setIn @ SV50 @ alive ) )
                            | ~ ( setIn @ SV95 @ alive ) )
                      | ( ( index @ status @ ( host @ SV50 ) )
                       != elec_2 ) )
                | ( ( index @ status @ ( host @ SV95 ) )
                 != elec_2 ) ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV50 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[376]) ).

thf(426,plain,
    ! [SV96: $i,SV51: $i] :
      ( ( ( m_Down @ SV51 )
        = ( m_Halt @ SV96 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[377]) ).

thf(427,plain,
    ! [SV97: $i,SV52: $i,SV117: $i] :
      ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV117 ) @ ( host @ SV52 ) )
                                | ~ ( setIn @ SV52 @ alive ) )
                          | ~ ( setIn @ SV117 @ alive ) )
                    | ( ( host @ SV117 )
                     != ( host @ SV97 ) ) )
              | ( ( index @ status @ ( host @ SV117 ) )
               != elec_2 ) )
        | ~ ( elem @ ( m_Down @ SV97 ) @ ( queue @ ( host @ SV52 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[378]) ).

thf(428,plain,
    ! [SV98: $i,SV53: $i] :
      ( ( ~ ( ~ ( ( SV53 != SV98 ) )
            | ( ( m_Down @ SV53 )
             != ( m_Down @ SV98 ) ) )
        | ~ ( ~ ( ( ( m_Down @ SV53 )
                 != ( m_Down @ SV98 ) ) )
            | ( SV53 != SV98 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[379]) ).

thf(429,plain,
    ! [SV99: $i,SV54: $i] :
      ( ( ( ( s @ ( host @ SV54 ) )
         != ( host @ SV99 ) )
        = $true )
      | ( ( ( host @ SV54 )
         != ( host @ SV99 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[380]) ).

thf(430,plain,
    ! [SV59: $i,SV12: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV12 ) @ ( host @ SV59 ) )
                                | ~ ( setIn @ SV12 @ alive ) )
                          | ~ ( setIn @ SV59 @ alive ) )
                    | ( ( index @ status @ ( host @ SV12 ) )
                     != elec_2 ) )
              | ( ( index @ status @ ( host @ SV59 ) )
               != elec_2 ) ) )
        = $false )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV12 ) ) @ ( index @ pendack @ ( host @ SV59 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[383]) ).

thf(431,plain,
    ! [SV14: $i] :
      ( ( ( ~ ~ ( leq @ ( host @ sK3_SY128 ) @ SV14 )
          | ~ ( leq @ ( s @ zero ) @ SV14 ) )
        = $true )
      | ( ( ( setIn @ SV14 @ ( index @ down @ ( host @ sK3_SY128 ) ) )
          | ( SV14
            = ( host @ sK4_SY218 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[385]) ).

thf(432,plain,
    ! [SV101: $i,SV61: $i,SV15: $i] :
      ( ( ~ ( ~ ( elem @ SV15 @ ( cons @ SV61 @ SV101 ) )
            | ( SV15 = SV61 )
            | ( elem @ SV15 @ SV101 ) )
        | ~ ( ~ ( ( SV15 = SV61 )
                | ( elem @ SV15 @ SV101 ) )
            | ( elem @ SV15 @ ( cons @ SV61 @ SV101 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[386]) ).

thf(433,plain,
    ! [SV62: $i,SV16: $i,SV118: $i,SV102: $i] :
      ( ( ~ ( ( SV102 != SV118 ) )
        | ( ( m_Ack @ SV16 @ SV102 )
         != ( m_Ack @ SV62 @ SV118 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[387]) ).

thf(434,plain,
    ! [SV103: $i,SV63: $i,SV17: $i] :
      ( ( ( m_Ack @ SV17 @ SV63 )
        = ( m_Ldr @ SV103 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[388]) ).

thf(435,plain,
    ! [SV104: $i,SV64: $i,SV18: $i] :
      ( ( ( m_Ack @ SV18 @ SV64 )
        = ( m_Halt @ SV104 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[389]) ).

thf(436,plain,
    ! [SV19: $i,SV65: $i,SV105: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SY395: $i] :
                                  ( ~ ~ ( ~ ~ ( leq @ ( host @ SV105 ) @ SY395 )
                                        | ~ ( leq @ ( s @ zero ) @ SY395 ) )
                                  | ( setIn @ SY395 @ ( index @ down @ ( host @ SV105 ) ) )
                                  | ( SY395
                                    = ( host @ SV65 ) ) )
                            | ~ ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
                      | ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
                | ( ( index @ status @ ( host @ SV105 ) )
                 != elec_1 ) ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[390]) ).

thf(437,plain,
    ! [SV21: $i,SV67: $i] :
      ( ( ( ~ ( ~ ( ( SV67 != SV21 ) )
              | ( ( host @ SV67 )
               != ( host @ SV21 ) ) ) )
        = $false )
      | ( ( ~ ( setIn @ SV21 @ alive )
          | ~ ( setIn @ SV67 @ alive ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[392]) ).

thf(438,plain,
    ! [SV68: $i,SV106: $i,SV22: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV22 @ alive )
                                  | ~ ( setIn @ SV106 @ alive ) )
                            | ( ( host @ SV106 )
                             != ( host @ SV68 ) ) )
                      | ( ( index @ status @ ( host @ SV22 ) )
                       != elec_2 ) )
                | ( ( index @ status @ ( host @ SV106 ) )
                 != elec_2 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV22 @ SV68 ) @ ( queue @ ( host @ SV22 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[393]) ).

thf(439,plain,
    ! [SV107: $i,SV69: $i,SV23: $i] :
      ( ( ( m_Ack @ SV23 @ SV69 )
        = ( m_Down @ SV107 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[394]) ).

thf(440,plain,
    ! [SV24: $i,SV70: $i,SV108: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV108 @ alive )
                            | ~ ( elem @ ( m_Down @ SV70 ) @ ( queue @ ( host @ SV108 ) ) ) )
                      | ( ( host @ SV70 )
                       != ( host @ SV24 ) ) )
                | ( ( index @ status @ ( host @ SV108 ) )
                 != elec_2 ) ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV24 @ alive )
                      | ( ( index @ ldr @ ( host @ SV24 ) )
                       != ( host @ SV24 ) ) )
                | ( ( index @ status @ ( host @ SV24 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[395]) ).

thf(441,plain,
    ! [SV71: $i,SV25: $i] :
      ( ( ~ ( ~ ( ( SV25 != SV71 ) )
            | ( ( m_Ldr @ SV25 )
             != ( m_Ldr @ SV71 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[396]) ).

thf(442,plain,
    ! [SV71: $i,SV25: $i] :
      ( ( ~ ( ~ ( ( ( m_Ldr @ SV25 )
                 != ( m_Ldr @ SV71 ) ) )
            | ( SV25 != SV71 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[396]) ).

thf(443,plain,
    ! [SV26: $i,SV72: $i,SV109: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV109 @ alive )
                      | ~ ( elem @ ( m_Ack @ SV109 @ SV72 ) @ ( queue @ ( host @ SV109 ) ) ) )
                | ( ( host @ SV72 )
                 != ( host @ SV26 ) ) ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                      | ( ( index @ ldr @ ( host @ SV26 ) )
                       != ( host @ SV26 ) ) )
                | ( ( index @ status @ ( host @ SV26 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[397]) ).

thf(444,plain,
    ! [SV73: $i,SV110: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV27 @ alive )
                                  | ~ ( setIn @ SV110 @ alive ) )
                            | ~ ( elem @ ( m_Down @ SV73 ) @ ( queue @ ( host @ SV27 ) ) ) )
                      | ( ( host @ SV110 )
                       != ( host @ SV73 ) ) )
                | ( ( index @ status @ ( host @ SV110 ) )
                 != elec_2 ) ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV110 ) ) @ ( host @ SV27 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[398]) ).

thf(445,plain,
    ! [SV28: $i,SV74: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV74 @ alive )
              | ( ( index @ status @ ( host @ SV74 ) )
               != elec_2 ) ) )
        = $false )
      | ( ( ~ ( elem @ ( m_Ack @ SV28 @ SV74 ) @ ( queue @ ( host @ SV28 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[399]) ).

thf(446,plain,
    ! [SV30: $i,SV76: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( setIn @ SV76 @ alive )
                    | ( ( index @ status @ ( host @ SV76 ) )
                     != norm ) )
              | ( ( index @ ldr @ ( host @ SV76 ) )
               != ( host @ SV76 ) ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ( setIn @ SV30 @ alive )
                | ~ ( setIn @ ( host @ SV76 ) @ ( index @ down @ ( host @ SV30 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[401]) ).

thf(447,plain,
    ! [SV111: $i,SV77: $i,SV31: $i] :
      ( ( ( ~ ~ ( ~ ( leq @ SV31 @ SV77 )
                | ~ ( leq @ SV77 @ SV111 ) ) )
        = $true )
      | ( ( leq @ SV31 @ SV111 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[402]) ).

thf(448,plain,
    ! [SV32: $i,SV78: $i,SV112: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV112 @ alive )
                            | ( ( host @ SV78 )
                             != ( host @ SV112 ) ) )
                      | ( ( index @ status @ ( host @ SV112 ) )
                       != norm ) )
                | ( ( index @ ldr @ ( host @ SV112 ) )
                 != ( host @ SV112 ) ) ) )
        = $true )
      | ( ( ~ ~ ( ~ ( setIn @ SV32 @ alive )
                | ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV32 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[403]) ).

thf(449,plain,
    ! [SV80: $i,SV113: $i,SV34: $i] :
      ( ( ~ ( ~ ( elem @ SV34 @ ( snoc @ SV113 @ SV80 ) )
            | ( SV34 = SV80 )
            | ( elem @ SV34 @ SV113 ) )
        | ~ ( ~ ( ( SV34 = SV80 )
                | ( elem @ SV34 @ SV113 ) )
            | ( elem @ SV34 @ ( snoc @ SV113 @ SV80 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[405]) ).

thf(450,plain,
    ! [SV81: $i,SV35: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV35 @ alive )
                          | ~ ( setIn @ SV81 @ alive ) )
                    | ~ ( setIn @ ( host @ SV81 ) @ ( index @ down @ ( host @ SV35 ) ) ) )
              | ( ( index @ status @ ( host @ SV81 ) )
               != elec_2 ) ) )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV81 ) ) @ ( host @ SV35 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[406]) ).

thf(451,plain,
    ! [SV84: $i,SV38: $i] :
      ( ( ~ ( ~ ~ ( ~ ( leq @ SV38 @ SV84 )
                  | ~ ( leq @ SV84 @ SV38 ) )
            | ( SV38 = SV84 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[409]) ).

thf(452,plain,
    ! [SV84: $i,SV38: $i] :
      ( ( ~ ( ( SV38 != SV84 )
            | ~ ( ~ ( leq @ SV38 @ SV84 )
                | ~ ( leq @ SV84 @ SV38 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[409]) ).

thf(453,plain,
    ! [SV119: $i,SV114: $i,SV85: $i,SV39: $i] :
      ( ( ~ ( ( SV39 != SV85 ) )
        | ( ( m_Ack @ SV39 @ SV114 )
         != ( m_Ack @ SV85 @ SV119 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[410]) ).

thf(454,plain,
    ! [SV86: $i,SV40: $i] :
      ( ( ( ( host @ SV40 )
         != ( host @ SV86 ) )
        = $false )
      | ( ( SV40 != SV86 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[411]) ).

thf(455,plain,
    ( ( ~ ( setIn @ ( host @ sK5_SX0 ) @ setEmpty ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[412]) ).

thf(456,plain,
    ( ( ( ( host @ sK3_SY128 )
       != ( host @ sK6_SX1 ) )
      | ! [SY397: $i] :
          ( ~ ( ( ( host @ sK3_SY128 )
               != ( host @ SY397 ) ) )
          | ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SY397 ) ) @ ( host @ sK6_SX1 ) )
                      | ~ ( setIn @ SY397 @ alive ) )
                | ( ( index @ status @ ( host @ SY397 ) )
                 != elec_2 ) )
          | ~ ~ ( ~ ( setIn @ sK6_SX1 @ alive )
                | ( ( host @ sK3_SY128 )
                 != ( host @ sK6_SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[413]) ).

thf(457,plain,
    ! [SV115: $i,SV87: $i,SV41: $i] :
      ( ( ( m_Ack @ SV41 @ SV87 )
        = ( m_NotNorm @ SV115 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[414]) ).

thf(458,plain,
    ! [SV88: $i,SV42: $i] :
      ( ( ( elem @ ( m_Ack @ SV42 @ SV88 ) @ ( queue @ ( host @ SV42 ) ) )
        = $false )
      | ( ( ~ ( ~ ( setIn @ SV42 @ pids )
              | ~ ( setIn @ SV88 @ pids ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[415]) ).

thf(459,plain,
    ! [SV90: $i,SV44: $i] :
      ( ( ~ ( ~ ( leq @ SV44 @ ( s @ SV90 ) )
            | ( SV44
              = ( s @ SV90 ) )
            | ( leq @ SV44 @ SV90 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[417]) ).

thf(460,plain,
    ! [SV90: $i,SV44: $i] :
      ( ( ~ ( ~ ( ( SV44
                  = ( s @ SV90 ) )
                | ( leq @ SV44 @ SV90 ) )
            | ( leq @ SV44 @ ( s @ SV90 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[417]) ).

thf(461,plain,
    ! [SV45: $i] :
      ( ( ( ~ ( ( ( index @ status @ ( host @ SV45 ) )
                = elec_1 )
              | ( ( index @ status @ ( host @ SV45 ) )
                = elec_2 ) )
          | ~ ( setIn @ SV45 @ alive ) )
        = $true )
      | ( ( ( index @ elid @ ( host @ SV45 ) )
          = SV45 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[418]) ).

thf(462,plain,
    ! [SV46: $i,SV91: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV91 ) ) @ ( host @ SV46 ) )
                    | ~ ( setIn @ SV91 @ alive ) )
              | ( ( index @ status @ ( host @ SV91 ) )
               != elec_2 ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV46 @ alive )
                      | ( ( index @ ldr @ ( host @ SV46 ) )
                       != ( host @ SV46 ) ) )
                | ( ( index @ status @ ( host @ SV46 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[419]) ).

thf(463,plain,
    ! [SV47: $i,SV92: $i] :
      ( ( ( elem @ ( m_Ldr @ SV92 ) @ ( queue @ ( host @ SV47 ) ) )
        = $false )
      | ( ( ~ ( leq @ ( host @ SV47 ) @ ( host @ SV92 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[420]) ).

thf(464,plain,
    ( ( ( ( index @ ldr @ ( host @ sK3_SY128 ) )
       != ( host @ sK4_SY218 ) )
      = $true )
    | ( ( ( index @ status @ ( host @ sK3_SY128 ) )
       != norm )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[421]) ).

thf(465,plain,
    ( ( ( ( index @ status @ ( host @ sK3_SY128 ) )
       != wait )
      = $true )
    | ( ( ( host @ sK4_SY218 )
       != ( host @ ( index @ elid @ ( host @ sK3_SY128 ) ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[422]) ).

thf(466,plain,
    ! [SV93: $i,SV48: $i] :
      ( ( ~ ( ~ ( leq @ SV48 @ SV93 )
            | ( leq @ ( s @ SV48 ) @ ( s @ SV93 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[423]) ).

thf(467,plain,
    ! [SV93: $i,SV48: $i] :
      ( ( ~ ( ~ ( leq @ ( s @ SV48 ) @ ( s @ SV93 ) )
            | ( leq @ SV48 @ SV93 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[423]) ).

thf(468,plain,
    ! [SV116: $i,SV94: $i,SV49: $i] :
      ( ( ( m_Ack @ SV49 @ SV94 )
        = ( m_NormQ @ SV116 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[424]) ).

thf(469,plain,
    ! [SV95: $i,SV50: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV50 ) @ ( host @ SV95 ) )
                                | ~ ( setIn @ SV50 @ alive ) )
                          | ~ ( setIn @ SV95 @ alive ) )
                    | ( ( index @ status @ ( host @ SV50 ) )
                     != elec_2 ) )
              | ( ( index @ status @ ( host @ SV95 ) )
               != elec_2 ) ) )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV50 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[425]) ).

thf(470,plain,
    ! [SV97: $i,SV52: $i,SV117: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV117 ) @ ( host @ SV52 ) )
                                  | ~ ( setIn @ SV52 @ alive ) )
                            | ~ ( setIn @ SV117 @ alive ) )
                      | ( ( host @ SV117 )
                       != ( host @ SV97 ) ) )
                | ( ( index @ status @ ( host @ SV117 ) )
                 != elec_2 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV97 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[427]) ).

thf(471,plain,
    ! [SV98: $i,SV53: $i] :
      ( ( ~ ( ~ ( ( SV53 != SV98 ) )
            | ( ( m_Down @ SV53 )
             != ( m_Down @ SV98 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[428]) ).

thf(472,plain,
    ! [SV98: $i,SV53: $i] :
      ( ( ~ ( ~ ( ( ( m_Down @ SV53 )
                 != ( m_Down @ SV98 ) ) )
            | ( SV53 != SV98 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[428]) ).

thf(473,plain,
    ! [SV99: $i,SV54: $i] :
      ( ( ( ( s @ ( host @ SV54 ) )
          = ( host @ SV99 ) )
        = $false )
      | ( ( ( host @ SV54 )
         != ( host @ SV99 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[429]) ).

thf(474,plain,
    ! [SV59: $i,SV12: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV12 ) @ ( host @ SV59 ) )
                            | ~ ( setIn @ SV12 @ alive ) )
                      | ~ ( setIn @ SV59 @ alive ) )
                | ( ( index @ status @ ( host @ SV12 ) )
                 != elec_2 ) )
          | ( ( index @ status @ ( host @ SV59 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV12 ) ) @ ( index @ pendack @ ( host @ SV59 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[430]) ).

thf(475,plain,
    ! [SV14: $i] :
      ( ( ( ~ ~ ( leq @ ( host @ sK3_SY128 ) @ SV14 ) )
        = $true )
      | ( ( ~ ( leq @ ( s @ zero ) @ SV14 ) )
        = $true )
      | ( ( ( setIn @ SV14 @ ( index @ down @ ( host @ sK3_SY128 ) ) )
          | ( SV14
            = ( host @ sK4_SY218 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[431]) ).

thf(476,plain,
    ! [SV101: $i,SV61: $i,SV15: $i] :
      ( ( ~ ( ~ ( elem @ SV15 @ ( cons @ SV61 @ SV101 ) )
            | ( SV15 = SV61 )
            | ( elem @ SV15 @ SV101 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[432]) ).

thf(477,plain,
    ! [SV101: $i,SV61: $i,SV15: $i] :
      ( ( ~ ( ~ ( ( SV15 = SV61 )
                | ( elem @ SV15 @ SV101 ) )
            | ( elem @ SV15 @ ( cons @ SV61 @ SV101 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[432]) ).

thf(478,plain,
    ! [SV62: $i,SV16: $i,SV118: $i,SV102: $i] :
      ( ( ( ~ ( ( SV102 != SV118 ) ) )
        = $true )
      | ( ( ( m_Ack @ SV16 @ SV102 )
         != ( m_Ack @ SV62 @ SV118 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[433]) ).

thf(479,plain,
    ! [SV19: $i,SV65: $i,SV105: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY395: $i] :
                                ( ~ ~ ( ~ ~ ( leq @ ( host @ SV105 ) @ SY395 )
                                      | ~ ( leq @ ( s @ zero ) @ SY395 ) )
                                | ( setIn @ SY395 @ ( index @ down @ ( host @ SV105 ) ) )
                                | ( SY395
                                  = ( host @ SV65 ) ) )
                          | ~ ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
                    | ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
              | ( ( index @ status @ ( host @ SV105 ) )
               != elec_1 ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[436]) ).

thf(480,plain,
    ! [SV21: $i,SV67: $i] :
      ( ( ( ~ ( ( SV67 != SV21 ) )
          | ( ( host @ SV67 )
           != ( host @ SV21 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV21 @ alive )
          | ~ ( setIn @ SV67 @ alive ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[437]) ).

thf(481,plain,
    ! [SV68: $i,SV106: $i,SV22: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV22 @ alive )
                                | ~ ( setIn @ SV106 @ alive ) )
                          | ( ( host @ SV106 )
                           != ( host @ SV68 ) ) )
                    | ( ( index @ status @ ( host @ SV22 ) )
                     != elec_2 ) )
              | ( ( index @ status @ ( host @ SV106 ) )
               != elec_2 ) ) )
        = $false )
      | ( ( ~ ( elem @ ( m_Ack @ SV22 @ SV68 ) @ ( queue @ ( host @ SV22 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[438]) ).

thf(482,plain,
    ! [SV24: $i,SV70: $i,SV108: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV108 @ alive )
                          | ~ ( elem @ ( m_Down @ SV70 ) @ ( queue @ ( host @ SV108 ) ) ) )
                    | ( ( host @ SV70 )
                     != ( host @ SV24 ) ) )
              | ( ( index @ status @ ( host @ SV108 ) )
               != elec_2 ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV24 @ alive )
                      | ( ( index @ ldr @ ( host @ SV24 ) )
                       != ( host @ SV24 ) ) )
                | ( ( index @ status @ ( host @ SV24 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[440]) ).

thf(483,plain,
    ! [SV71: $i,SV25: $i] :
      ( ( ~ ( ( SV25 != SV71 ) )
        | ( ( m_Ldr @ SV25 )
         != ( m_Ldr @ SV71 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[441]) ).

thf(484,plain,
    ! [SV71: $i,SV25: $i] :
      ( ( ~ ( ( ( m_Ldr @ SV25 )
             != ( m_Ldr @ SV71 ) ) )
        | ( SV25 != SV71 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[442]) ).

thf(485,plain,
    ! [SV26: $i,SV72: $i,SV109: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( setIn @ SV109 @ alive )
                    | ~ ( elem @ ( m_Ack @ SV109 @ SV72 ) @ ( queue @ ( host @ SV109 ) ) ) )
              | ( ( host @ SV72 )
               != ( host @ SV26 ) ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                      | ( ( index @ ldr @ ( host @ SV26 ) )
                       != ( host @ SV26 ) ) )
                | ( ( index @ status @ ( host @ SV26 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[443]) ).

thf(486,plain,
    ! [SV73: $i,SV110: $i,SV27: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV27 @ alive )
                                | ~ ( setIn @ SV110 @ alive ) )
                          | ~ ( elem @ ( m_Down @ SV73 ) @ ( queue @ ( host @ SV27 ) ) ) )
                    | ( ( host @ SV110 )
                     != ( host @ SV73 ) ) )
              | ( ( index @ status @ ( host @ SV110 ) )
               != elec_2 ) ) )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV110 ) ) @ ( host @ SV27 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[444]) ).

thf(487,plain,
    ! [SV28: $i,SV74: $i] :
      ( ( ( ~ ( setIn @ SV74 @ alive )
          | ( ( index @ status @ ( host @ SV74 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV28 @ SV74 ) @ ( queue @ ( host @ SV28 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[445]) ).

thf(488,plain,
    ! [SV30: $i,SV76: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV76 @ alive )
                | ( ( index @ status @ ( host @ SV76 ) )
                 != norm ) )
          | ( ( index @ ldr @ ( host @ SV76 ) )
           != ( host @ SV76 ) ) )
        = $true )
      | ( ( ~ ~ ( ~ ( setIn @ SV30 @ alive )
                | ~ ( setIn @ ( host @ SV76 ) @ ( index @ down @ ( host @ SV30 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[446]) ).

thf(489,plain,
    ! [SV111: $i,SV77: $i,SV31: $i] :
      ( ( ( ~ ( ~ ( leq @ SV31 @ SV77 )
              | ~ ( leq @ SV77 @ SV111 ) ) )
        = $false )
      | ( ( leq @ SV31 @ SV111 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[447]) ).

thf(490,plain,
    ! [SV32: $i,SV78: $i,SV112: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV112 @ alive )
                          | ( ( host @ SV78 )
                           != ( host @ SV112 ) ) )
                    | ( ( index @ status @ ( host @ SV112 ) )
                     != norm ) )
              | ( ( index @ ldr @ ( host @ SV112 ) )
               != ( host @ SV112 ) ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ( setIn @ SV32 @ alive )
                | ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV32 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[448]) ).

thf(491,plain,
    ! [SV80: $i,SV113: $i,SV34: $i] :
      ( ( ~ ( ~ ( elem @ SV34 @ ( snoc @ SV113 @ SV80 ) )
            | ( SV34 = SV80 )
            | ( elem @ SV34 @ SV113 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[449]) ).

thf(492,plain,
    ! [SV113: $i,SV80: $i,SV34: $i] :
      ( ( ~ ( ~ ( ( SV34 = SV80 )
                | ( elem @ SV34 @ SV113 ) )
            | ( elem @ SV34 @ ( snoc @ SV113 @ SV80 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[449]) ).

thf(493,plain,
    ! [SV81: $i,SV35: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV35 @ alive )
                      | ~ ( setIn @ SV81 @ alive ) )
                | ~ ( setIn @ ( host @ SV81 ) @ ( index @ down @ ( host @ SV35 ) ) ) )
          | ( ( index @ status @ ( host @ SV81 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV81 ) ) @ ( host @ SV35 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[450]) ).

thf(494,plain,
    ! [SV84: $i,SV38: $i] :
      ( ( ~ ~ ( ~ ( leq @ SV38 @ SV84 )
              | ~ ( leq @ SV84 @ SV38 ) )
        | ( SV38 = SV84 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[451]) ).

thf(495,plain,
    ! [SV84: $i,SV38: $i] :
      ( ( ( SV38 != SV84 )
        | ~ ( ~ ( leq @ SV38 @ SV84 )
            | ~ ( leq @ SV84 @ SV38 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[452]) ).

thf(496,plain,
    ! [SV119: $i,SV114: $i,SV85: $i,SV39: $i] :
      ( ( ( ~ ( ( SV39 != SV85 ) ) )
        = $true )
      | ( ( ( m_Ack @ SV39 @ SV114 )
         != ( m_Ack @ SV85 @ SV119 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[453]) ).

thf(497,plain,
    ! [SV86: $i,SV40: $i] :
      ( ( ( ( host @ SV40 )
          = ( host @ SV86 ) )
        = $true )
      | ( ( SV40 != SV86 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[454]) ).

thf(498,plain,
    ( ( setIn @ ( host @ sK5_SX0 ) @ setEmpty )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[455]) ).

thf(499,plain,
    ( ( ( host @ sK3_SY128 )
     != ( host @ sK6_SX1 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[456]) ).

thf(500,plain,
    ( ( ! [SY397: $i] :
          ( ~ ( ( ( host @ sK3_SY128 )
               != ( host @ SY397 ) ) )
          | ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SY397 ) ) @ ( host @ sK6_SX1 ) )
                      | ~ ( setIn @ SY397 @ alive ) )
                | ( ( index @ status @ ( host @ SY397 ) )
                 != elec_2 ) )
          | ~ ~ ( ~ ( setIn @ sK6_SX1 @ alive )
                | ( ( host @ sK3_SY128 )
                 != ( host @ sK6_SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[456]) ).

thf(501,plain,
    ! [SV88: $i,SV42: $i] :
      ( ( ( ~ ( setIn @ SV42 @ pids )
          | ~ ( setIn @ SV88 @ pids ) )
        = $false )
      | ( ( elem @ ( m_Ack @ SV42 @ SV88 ) @ ( queue @ ( host @ SV42 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[458]) ).

thf(502,plain,
    ! [SV90: $i,SV44: $i] :
      ( ( ~ ( leq @ SV44 @ ( s @ SV90 ) )
        | ( SV44
          = ( s @ SV90 ) )
        | ( leq @ SV44 @ SV90 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[459]) ).

thf(503,plain,
    ! [SV90: $i,SV44: $i] :
      ( ( ~ ( ( SV44
              = ( s @ SV90 ) )
            | ( leq @ SV44 @ SV90 ) )
        | ( leq @ SV44 @ ( s @ SV90 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[460]) ).

thf(504,plain,
    ! [SV45: $i] :
      ( ( ( ~ ( ( ( index @ status @ ( host @ SV45 ) )
                = elec_1 )
              | ( ( index @ status @ ( host @ SV45 ) )
                = elec_2 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV45 @ alive ) )
        = $true )
      | ( ( ( index @ elid @ ( host @ SV45 ) )
          = SV45 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[461]) ).

thf(505,plain,
    ! [SV46: $i,SV91: $i] :
      ( ( ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV91 ) ) @ ( host @ SV46 ) )
                | ~ ( setIn @ SV91 @ alive ) )
          | ( ( index @ status @ ( host @ SV91 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV46 @ alive )
                      | ( ( index @ ldr @ ( host @ SV46 ) )
                       != ( host @ SV46 ) ) )
                | ( ( index @ status @ ( host @ SV46 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[462]) ).

thf(506,plain,
    ! [SV92: $i,SV47: $i] :
      ( ( ( leq @ ( host @ SV47 ) @ ( host @ SV92 ) )
        = $false )
      | ( ( elem @ ( m_Ldr @ SV92 ) @ ( queue @ ( host @ SV47 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[463]) ).

thf(507,plain,
    ( ( ( ( index @ ldr @ ( host @ sK3_SY128 ) )
        = ( host @ sK4_SY218 ) )
      = $false )
    | ( ( ( index @ status @ ( host @ sK3_SY128 ) )
       != norm )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[464]) ).

thf(508,plain,
    ( ( ( ( index @ status @ ( host @ sK3_SY128 ) )
        = wait )
      = $false )
    | ( ( ( host @ sK4_SY218 )
       != ( host @ ( index @ elid @ ( host @ sK3_SY128 ) ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[465]) ).

thf(509,plain,
    ! [SV93: $i,SV48: $i] :
      ( ( ~ ( leq @ SV48 @ SV93 )
        | ( leq @ ( s @ SV48 ) @ ( s @ SV93 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[466]) ).

thf(510,plain,
    ! [SV93: $i,SV48: $i] :
      ( ( ~ ( leq @ ( s @ SV48 ) @ ( s @ SV93 ) )
        | ( leq @ SV48 @ SV93 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[467]) ).

thf(511,plain,
    ! [SV95: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV50 ) @ ( host @ SV95 ) )
                            | ~ ( setIn @ SV50 @ alive ) )
                      | ~ ( setIn @ SV95 @ alive ) )
                | ( ( index @ status @ ( host @ SV50 ) )
                 != elec_2 ) )
          | ( ( index @ status @ ( host @ SV95 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV50 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[469]) ).

thf(512,plain,
    ! [SV97: $i,SV52: $i,SV117: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV117 ) @ ( host @ SV52 ) )
                                | ~ ( setIn @ SV52 @ alive ) )
                          | ~ ( setIn @ SV117 @ alive ) )
                    | ( ( host @ SV117 )
                     != ( host @ SV97 ) ) )
              | ( ( index @ status @ ( host @ SV117 ) )
               != elec_2 ) ) )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV97 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[470]) ).

thf(513,plain,
    ! [SV98: $i,SV53: $i] :
      ( ( ~ ( ( SV53 != SV98 ) )
        | ( ( m_Down @ SV53 )
         != ( m_Down @ SV98 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[471]) ).

thf(514,plain,
    ! [SV98: $i,SV53: $i] :
      ( ( ~ ( ( ( m_Down @ SV53 )
             != ( m_Down @ SV98 ) ) )
        | ( SV53 != SV98 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[472]) ).

thf(515,plain,
    ! [SV99: $i,SV54: $i] :
      ( ( ( ( host @ SV54 )
          = ( host @ SV99 ) )
        = $false )
      | ( ( ( s @ ( host @ SV54 ) )
          = ( host @ SV99 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[473]) ).

thf(516,plain,
    ! [SV59: $i,SV12: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV12 ) @ ( host @ SV59 ) )
                            | ~ ( setIn @ SV12 @ alive ) )
                      | ~ ( setIn @ SV59 @ alive ) )
                | ( ( index @ status @ ( host @ SV12 ) )
                 != elec_2 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV59 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV12 ) ) @ ( index @ pendack @ ( host @ SV59 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[474]) ).

thf(517,plain,
    ! [SV14: $i] :
      ( ( ( ~ ( leq @ ( host @ sK3_SY128 ) @ SV14 ) )
        = $false )
      | ( ( ~ ( leq @ ( s @ zero ) @ SV14 ) )
        = $true )
      | ( ( ( setIn @ SV14 @ ( index @ down @ ( host @ sK3_SY128 ) ) )
          | ( SV14
            = ( host @ sK4_SY218 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[475]) ).

thf(518,plain,
    ! [SV101: $i,SV61: $i,SV15: $i] :
      ( ( ~ ( elem @ SV15 @ ( cons @ SV61 @ SV101 ) )
        | ( SV15 = SV61 )
        | ( elem @ SV15 @ SV101 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[476]) ).

thf(519,plain,
    ! [SV101: $i,SV61: $i,SV15: $i] :
      ( ( ~ ( ( SV15 = SV61 )
            | ( elem @ SV15 @ SV101 ) )
        | ( elem @ SV15 @ ( cons @ SV61 @ SV101 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[477]) ).

thf(520,plain,
    ! [SV62: $i,SV16: $i,SV118: $i,SV102: $i] :
      ( ( ( SV102 != SV118 )
        = $false )
      | ( ( ( m_Ack @ SV16 @ SV102 )
         != ( m_Ack @ SV62 @ SV118 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[478]) ).

thf(521,plain,
    ! [SV19: $i,SV65: $i,SV105: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ! [SY395: $i] :
                            ( ~ ~ ( ~ ~ ( leq @ ( host @ SV105 ) @ SY395 )
                                  | ~ ( leq @ ( s @ zero ) @ SY395 ) )
                            | ( setIn @ SY395 @ ( index @ down @ ( host @ SV105 ) ) )
                            | ( SY395
                              = ( host @ SV65 ) ) )
                      | ~ ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
                | ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
          | ( ( index @ status @ ( host @ SV105 ) )
           != elec_1 ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[479]) ).

thf(522,plain,
    ! [SV21: $i,SV67: $i] :
      ( ( ( ~ ( ( SV67 != SV21 ) ) )
        = $true )
      | ( ( ( host @ SV67 )
         != ( host @ SV21 ) )
        = $true )
      | ( ( ~ ( setIn @ SV21 @ alive )
          | ~ ( setIn @ SV67 @ alive ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[480]) ).

thf(523,plain,
    ! [SV68: $i,SV106: $i,SV22: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV22 @ alive )
                            | ~ ( setIn @ SV106 @ alive ) )
                      | ( ( host @ SV106 )
                       != ( host @ SV68 ) ) )
                | ( ( index @ status @ ( host @ SV22 ) )
                 != elec_2 ) )
          | ( ( index @ status @ ( host @ SV106 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV22 @ SV68 ) @ ( queue @ ( host @ SV22 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[481]) ).

thf(524,plain,
    ! [SV24: $i,SV70: $i,SV108: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV108 @ alive )
                      | ~ ( elem @ ( m_Down @ SV70 ) @ ( queue @ ( host @ SV108 ) ) ) )
                | ( ( host @ SV70 )
                 != ( host @ SV24 ) ) )
          | ( ( index @ status @ ( host @ SV108 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV24 @ alive )
                      | ( ( index @ ldr @ ( host @ SV24 ) )
                       != ( host @ SV24 ) ) )
                | ( ( index @ status @ ( host @ SV24 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[482]) ).

thf(525,plain,
    ! [SV71: $i,SV25: $i] :
      ( ( ( ~ ( ( SV25 != SV71 ) ) )
        = $true )
      | ( ( ( m_Ldr @ SV25 )
         != ( m_Ldr @ SV71 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[483]) ).

thf(526,plain,
    ! [SV71: $i,SV25: $i] :
      ( ( ( ~ ( ( ( m_Ldr @ SV25 )
               != ( m_Ldr @ SV71 ) ) ) )
        = $true )
      | ( ( SV25 != SV71 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[484]) ).

thf(527,plain,
    ! [SV26: $i,SV72: $i,SV109: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV109 @ alive )
                | ~ ( elem @ ( m_Ack @ SV109 @ SV72 ) @ ( queue @ ( host @ SV109 ) ) ) )
          | ( ( host @ SV72 )
           != ( host @ SV26 ) ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                      | ( ( index @ ldr @ ( host @ SV26 ) )
                       != ( host @ SV26 ) ) )
                | ( ( index @ status @ ( host @ SV26 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[485]) ).

thf(528,plain,
    ! [SV73: $i,SV110: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV27 @ alive )
                            | ~ ( setIn @ SV110 @ alive ) )
                      | ~ ( elem @ ( m_Down @ SV73 ) @ ( queue @ ( host @ SV27 ) ) ) )
                | ( ( host @ SV110 )
                 != ( host @ SV73 ) ) )
          | ( ( index @ status @ ( host @ SV110 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV110 ) ) @ ( host @ SV27 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[486]) ).

thf(529,plain,
    ! [SV28: $i,SV74: $i] :
      ( ( ( ~ ( setIn @ SV74 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV74 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV28 @ SV74 ) @ ( queue @ ( host @ SV28 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[487]) ).

thf(530,plain,
    ! [SV30: $i,SV76: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV76 @ alive )
                | ( ( index @ status @ ( host @ SV76 ) )
                 != norm ) ) )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV76 ) )
         != ( host @ SV76 ) )
        = $true )
      | ( ( ~ ~ ( ~ ( setIn @ SV30 @ alive )
                | ~ ( setIn @ ( host @ SV76 ) @ ( index @ down @ ( host @ SV30 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[488]) ).

thf(531,plain,
    ! [SV111: $i,SV77: $i,SV31: $i] :
      ( ( ( ~ ( leq @ SV31 @ SV77 )
          | ~ ( leq @ SV77 @ SV111 ) )
        = $true )
      | ( ( leq @ SV31 @ SV111 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[489]) ).

thf(532,plain,
    ! [SV32: $i,SV78: $i,SV112: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV112 @ alive )
                      | ( ( host @ SV78 )
                       != ( host @ SV112 ) ) )
                | ( ( index @ status @ ( host @ SV112 ) )
                 != norm ) )
          | ( ( index @ ldr @ ( host @ SV112 ) )
           != ( host @ SV112 ) ) )
        = $true )
      | ( ( ~ ~ ( ~ ( setIn @ SV32 @ alive )
                | ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV32 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[490]) ).

thf(533,plain,
    ! [SV80: $i,SV113: $i,SV34: $i] :
      ( ( ~ ( elem @ SV34 @ ( snoc @ SV113 @ SV80 ) )
        | ( SV34 = SV80 )
        | ( elem @ SV34 @ SV113 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[491]) ).

thf(534,plain,
    ! [SV113: $i,SV80: $i,SV34: $i] :
      ( ( ~ ( ( SV34 = SV80 )
            | ( elem @ SV34 @ SV113 ) )
        | ( elem @ SV34 @ ( snoc @ SV113 @ SV80 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[492]) ).

thf(535,plain,
    ! [SV81: $i,SV35: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV35 @ alive )
                      | ~ ( setIn @ SV81 @ alive ) )
                | ~ ( setIn @ ( host @ SV81 ) @ ( index @ down @ ( host @ SV35 ) ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV81 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV81 ) ) @ ( host @ SV35 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[493]) ).

thf(536,plain,
    ! [SV84: $i,SV38: $i] :
      ( ( ( ~ ~ ( ~ ( leq @ SV38 @ SV84 )
                | ~ ( leq @ SV84 @ SV38 ) ) )
        = $true )
      | ( ( SV38 = SV84 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[494]) ).

thf(537,plain,
    ! [SV84: $i,SV38: $i] :
      ( ( ( SV38 != SV84 )
        = $true )
      | ( ( ~ ( ~ ( leq @ SV38 @ SV84 )
              | ~ ( leq @ SV84 @ SV38 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[495]) ).

thf(538,plain,
    ! [SV119: $i,SV114: $i,SV85: $i,SV39: $i] :
      ( ( ( SV39 != SV85 )
        = $false )
      | ( ( ( m_Ack @ SV39 @ SV114 )
         != ( m_Ack @ SV85 @ SV119 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[496]) ).

thf(539,plain,
    ! [SV86: $i,SV40: $i] :
      ( ( ( SV40 = SV86 )
        = $false )
      | ( ( ( host @ SV40 )
          = ( host @ SV86 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[497]) ).

thf(540,plain,
    ( ( ( host @ sK3_SY128 )
      = ( host @ sK6_SX1 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[499]) ).

thf(541,plain,
    ( ( ~ ( ( ( host @ sK3_SY128 )
           != ( host @ sK7_SY397 ) ) )
      | ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ sK7_SY397 ) ) @ ( host @ sK6_SX1 ) )
                  | ~ ( setIn @ sK7_SY397 @ alive ) )
            | ( ( index @ status @ ( host @ sK7_SY397 ) )
             != elec_2 ) )
      | ~ ~ ( ~ ( setIn @ sK6_SX1 @ alive )
            | ( ( host @ sK3_SY128 )
             != ( host @ sK6_SX1 ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[500]) ).

thf(542,plain,
    ! [SV88: $i,SV42: $i] :
      ( ( ( ~ ( setIn @ SV42 @ pids ) )
        = $false )
      | ( ( elem @ ( m_Ack @ SV42 @ SV88 ) @ ( queue @ ( host @ SV42 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[501]) ).

thf(543,plain,
    ! [SV42: $i,SV88: $i] :
      ( ( ( ~ ( setIn @ SV88 @ pids ) )
        = $false )
      | ( ( elem @ ( m_Ack @ SV42 @ SV88 ) @ ( queue @ ( host @ SV42 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[501]) ).

thf(544,plain,
    ! [SV90: $i,SV44: $i] :
      ( ( ( ~ ( leq @ SV44 @ ( s @ SV90 ) ) )
        = $true )
      | ( ( ( SV44
            = ( s @ SV90 ) )
          | ( leq @ SV44 @ SV90 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[502]) ).

thf(545,plain,
    ! [SV90: $i,SV44: $i] :
      ( ( ( ~ ( ( SV44
                = ( s @ SV90 ) )
              | ( leq @ SV44 @ SV90 ) ) )
        = $true )
      | ( ( leq @ SV44 @ ( s @ SV90 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[503]) ).

thf(546,plain,
    ! [SV45: $i] :
      ( ( ( ( ( index @ status @ ( host @ SV45 ) )
            = elec_1 )
          | ( ( index @ status @ ( host @ SV45 ) )
            = elec_2 ) )
        = $false )
      | ( ( ~ ( setIn @ SV45 @ alive ) )
        = $true )
      | ( ( ( index @ elid @ ( host @ SV45 ) )
          = SV45 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[504]) ).

thf(547,plain,
    ! [SV46: $i,SV91: $i] :
      ( ( ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV91 ) ) @ ( host @ SV46 ) )
                | ~ ( setIn @ SV91 @ alive ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV91 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV46 @ alive )
                      | ( ( index @ ldr @ ( host @ SV46 ) )
                       != ( host @ SV46 ) ) )
                | ( ( index @ status @ ( host @ SV46 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[505]) ).

thf(548,plain,
    ( ( ( ( index @ status @ ( host @ sK3_SY128 ) )
        = norm )
      = $false )
    | ( ( ( index @ ldr @ ( host @ sK3_SY128 ) )
        = ( host @ sK4_SY218 ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[507]) ).

thf(549,plain,
    ( ( ( ( host @ sK4_SY218 )
        = ( host @ ( index @ elid @ ( host @ sK3_SY128 ) ) ) )
      = $false )
    | ( ( ( index @ status @ ( host @ sK3_SY128 ) )
        = wait )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[508]) ).

thf(550,plain,
    ! [SV93: $i,SV48: $i] :
      ( ( ( ~ ( leq @ SV48 @ SV93 ) )
        = $true )
      | ( ( leq @ ( s @ SV48 ) @ ( s @ SV93 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[509]) ).

thf(551,plain,
    ! [SV93: $i,SV48: $i] :
      ( ( ( ~ ( leq @ ( s @ SV48 ) @ ( s @ SV93 ) ) )
        = $true )
      | ( ( leq @ SV48 @ SV93 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[510]) ).

thf(552,plain,
    ! [SV95: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV50 ) @ ( host @ SV95 ) )
                            | ~ ( setIn @ SV50 @ alive ) )
                      | ~ ( setIn @ SV95 @ alive ) )
                | ( ( index @ status @ ( host @ SV50 ) )
                 != elec_2 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV50 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[511]) ).

thf(553,plain,
    ! [SV97: $i,SV52: $i,SV117: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV117 ) @ ( host @ SV52 ) )
                            | ~ ( setIn @ SV52 @ alive ) )
                      | ~ ( setIn @ SV117 @ alive ) )
                | ( ( host @ SV117 )
                 != ( host @ SV97 ) ) )
          | ( ( index @ status @ ( host @ SV117 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV97 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[512]) ).

thf(554,plain,
    ! [SV98: $i,SV53: $i] :
      ( ( ( ~ ( ( SV53 != SV98 ) ) )
        = $true )
      | ( ( ( m_Down @ SV53 )
         != ( m_Down @ SV98 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[513]) ).

thf(555,plain,
    ! [SV98: $i,SV53: $i] :
      ( ( ( ~ ( ( ( m_Down @ SV53 )
               != ( m_Down @ SV98 ) ) ) )
        = $true )
      | ( ( SV53 != SV98 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[514]) ).

thf(556,plain,
    ! [SV59: $i,SV12: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV12 ) @ ( host @ SV59 ) )
                          | ~ ( setIn @ SV12 @ alive ) )
                    | ~ ( setIn @ SV59 @ alive ) )
              | ( ( index @ status @ ( host @ SV12 ) )
               != elec_2 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV59 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV12 ) ) @ ( index @ pendack @ ( host @ SV59 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[516]) ).

thf(557,plain,
    ! [SV14: $i] :
      ( ( ( leq @ ( host @ sK3_SY128 ) @ SV14 )
        = $true )
      | ( ( ~ ( leq @ ( s @ zero ) @ SV14 ) )
        = $true )
      | ( ( ( setIn @ SV14 @ ( index @ down @ ( host @ sK3_SY128 ) ) )
          | ( SV14
            = ( host @ sK4_SY218 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[517]) ).

thf(558,plain,
    ! [SV101: $i,SV61: $i,SV15: $i] :
      ( ( ( ~ ( elem @ SV15 @ ( cons @ SV61 @ SV101 ) ) )
        = $true )
      | ( ( ( SV15 = SV61 )
          | ( elem @ SV15 @ SV101 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[518]) ).

thf(559,plain,
    ! [SV101: $i,SV61: $i,SV15: $i] :
      ( ( ( ~ ( ( SV15 = SV61 )
              | ( elem @ SV15 @ SV101 ) ) )
        = $true )
      | ( ( elem @ SV15 @ ( cons @ SV61 @ SV101 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[519]) ).

thf(560,plain,
    ! [SV62: $i,SV16: $i,SV118: $i,SV102: $i] :
      ( ( ( SV102 = SV118 )
        = $true )
      | ( ( ( m_Ack @ SV16 @ SV102 )
         != ( m_Ack @ SV62 @ SV118 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[520]) ).

thf(561,plain,
    ! [SV19: $i,SV65: $i,SV105: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ! [SY395: $i] :
                            ( ~ ~ ( ~ ~ ( leq @ ( host @ SV105 ) @ SY395 )
                                  | ~ ( leq @ ( s @ zero ) @ SY395 ) )
                            | ( setIn @ SY395 @ ( index @ down @ ( host @ SV105 ) ) )
                            | ( SY395
                              = ( host @ SV65 ) ) )
                      | ~ ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
                | ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[521]) ).

thf(562,plain,
    ! [SV21: $i,SV67: $i] :
      ( ( ( SV67 != SV21 )
        = $false )
      | ( ( ( host @ SV67 )
         != ( host @ SV21 ) )
        = $true )
      | ( ( ~ ( setIn @ SV21 @ alive )
          | ~ ( setIn @ SV67 @ alive ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[522]) ).

thf(563,plain,
    ! [SV68: $i,SV106: $i,SV22: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV22 @ alive )
                            | ~ ( setIn @ SV106 @ alive ) )
                      | ( ( host @ SV106 )
                       != ( host @ SV68 ) ) )
                | ( ( index @ status @ ( host @ SV22 ) )
                 != elec_2 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV106 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV22 @ SV68 ) @ ( queue @ ( host @ SV22 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[523]) ).

thf(564,plain,
    ! [SV24: $i,SV70: $i,SV108: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV108 @ alive )
                      | ~ ( elem @ ( m_Down @ SV70 ) @ ( queue @ ( host @ SV108 ) ) ) )
                | ( ( host @ SV70 )
                 != ( host @ SV24 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV108 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV24 @ alive )
                      | ( ( index @ ldr @ ( host @ SV24 ) )
                       != ( host @ SV24 ) ) )
                | ( ( index @ status @ ( host @ SV24 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[524]) ).

thf(565,plain,
    ! [SV71: $i,SV25: $i] :
      ( ( ( SV25 != SV71 )
        = $false )
      | ( ( ( m_Ldr @ SV25 )
         != ( m_Ldr @ SV71 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[525]) ).

thf(566,plain,
    ! [SV71: $i,SV25: $i] :
      ( ( ( ( m_Ldr @ SV25 )
         != ( m_Ldr @ SV71 ) )
        = $false )
      | ( ( SV25 != SV71 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[526]) ).

thf(567,plain,
    ! [SV26: $i,SV72: $i,SV109: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV109 @ alive )
                | ~ ( elem @ ( m_Ack @ SV109 @ SV72 ) @ ( queue @ ( host @ SV109 ) ) ) ) )
        = $true )
      | ( ( ( host @ SV72 )
         != ( host @ SV26 ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                      | ( ( index @ ldr @ ( host @ SV26 ) )
                       != ( host @ SV26 ) ) )
                | ( ( index @ status @ ( host @ SV26 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[527]) ).

thf(568,plain,
    ! [SV73: $i,SV110: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV27 @ alive )
                            | ~ ( setIn @ SV110 @ alive ) )
                      | ~ ( elem @ ( m_Down @ SV73 ) @ ( queue @ ( host @ SV27 ) ) ) )
                | ( ( host @ SV110 )
                 != ( host @ SV73 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV110 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV110 ) ) @ ( host @ SV27 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[528]) ).

thf(569,plain,
    ! [SV28: $i,SV74: $i] :
      ( ( ( setIn @ SV74 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV74 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV28 @ SV74 ) @ ( queue @ ( host @ SV28 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[529]) ).

thf(570,plain,
    ! [SV30: $i,SV76: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV76 @ alive )
              | ( ( index @ status @ ( host @ SV76 ) )
               != norm ) ) )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV76 ) )
         != ( host @ SV76 ) )
        = $true )
      | ( ( ~ ~ ( ~ ( setIn @ SV30 @ alive )
                | ~ ( setIn @ ( host @ SV76 ) @ ( index @ down @ ( host @ SV30 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[530]) ).

thf(571,plain,
    ! [SV111: $i,SV77: $i,SV31: $i] :
      ( ( ( ~ ( leq @ SV31 @ SV77 ) )
        = $true )
      | ( ( ~ ( leq @ SV77 @ SV111 ) )
        = $true )
      | ( ( leq @ SV31 @ SV111 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[531]) ).

thf(572,plain,
    ! [SV32: $i,SV78: $i,SV112: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV112 @ alive )
                      | ( ( host @ SV78 )
                       != ( host @ SV112 ) ) )
                | ( ( index @ status @ ( host @ SV112 ) )
                 != norm ) ) )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV112 ) )
         != ( host @ SV112 ) )
        = $true )
      | ( ( ~ ~ ( ~ ( setIn @ SV32 @ alive )
                | ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV32 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[532]) ).

thf(573,plain,
    ! [SV80: $i,SV113: $i,SV34: $i] :
      ( ( ( ~ ( elem @ SV34 @ ( snoc @ SV113 @ SV80 ) ) )
        = $true )
      | ( ( ( SV34 = SV80 )
          | ( elem @ SV34 @ SV113 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[533]) ).

thf(574,plain,
    ! [SV113: $i,SV80: $i,SV34: $i] :
      ( ( ( ~ ( ( SV34 = SV80 )
              | ( elem @ SV34 @ SV113 ) ) )
        = $true )
      | ( ( elem @ SV34 @ ( snoc @ SV113 @ SV80 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[534]) ).

thf(575,plain,
    ! [SV81: $i,SV35: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( setIn @ SV35 @ alive )
                    | ~ ( setIn @ SV81 @ alive ) )
              | ~ ( setIn @ ( host @ SV81 ) @ ( index @ down @ ( host @ SV35 ) ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV81 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV81 ) ) @ ( host @ SV35 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[535]) ).

thf(576,plain,
    ! [SV84: $i,SV38: $i] :
      ( ( ( ~ ( ~ ( leq @ SV38 @ SV84 )
              | ~ ( leq @ SV84 @ SV38 ) ) )
        = $false )
      | ( ( SV38 = SV84 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[536]) ).

thf(577,plain,
    ! [SV84: $i,SV38: $i] :
      ( ( ( SV38 = SV84 )
        = $false )
      | ( ( ~ ( ~ ( leq @ SV38 @ SV84 )
              | ~ ( leq @ SV84 @ SV38 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[537]) ).

thf(578,plain,
    ! [SV119: $i,SV114: $i,SV85: $i,SV39: $i] :
      ( ( ( SV39 = SV85 )
        = $true )
      | ( ( ( m_Ack @ SV39 @ SV114 )
         != ( m_Ack @ SV85 @ SV119 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[538]) ).

thf(579,plain,
    ( ( ~ ( ( ( host @ sK3_SY128 )
           != ( host @ sK7_SY397 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[541]) ).

thf(580,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ sK7_SY397 ) ) @ ( host @ sK6_SX1 ) )
                  | ~ ( setIn @ sK7_SY397 @ alive ) )
            | ( ( index @ status @ ( host @ sK7_SY397 ) )
             != elec_2 ) )
      | ~ ~ ( ~ ( setIn @ sK6_SX1 @ alive )
            | ( ( host @ sK3_SY128 )
             != ( host @ sK6_SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[541]) ).

thf(581,plain,
    ! [SV88: $i,SV42: $i] :
      ( ( ( setIn @ SV42 @ pids )
        = $true )
      | ( ( elem @ ( m_Ack @ SV42 @ SV88 ) @ ( queue @ ( host @ SV42 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[542]) ).

thf(582,plain,
    ! [SV42: $i,SV88: $i] :
      ( ( ( setIn @ SV88 @ pids )
        = $true )
      | ( ( elem @ ( m_Ack @ SV42 @ SV88 ) @ ( queue @ ( host @ SV42 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[543]) ).

thf(583,plain,
    ! [SV90: $i,SV44: $i] :
      ( ( ( leq @ SV44 @ ( s @ SV90 ) )
        = $false )
      | ( ( ( SV44
            = ( s @ SV90 ) )
          | ( leq @ SV44 @ SV90 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[544]) ).

thf(584,plain,
    ! [SV90: $i,SV44: $i] :
      ( ( ( ( SV44
            = ( s @ SV90 ) )
          | ( leq @ SV44 @ SV90 ) )
        = $false )
      | ( ( leq @ SV44 @ ( s @ SV90 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[545]) ).

thf(585,plain,
    ! [SV45: $i] :
      ( ( ( ( index @ status @ ( host @ SV45 ) )
          = elec_1 )
        = $false )
      | ( ( ~ ( setIn @ SV45 @ alive ) )
        = $true )
      | ( ( ( index @ elid @ ( host @ SV45 ) )
          = SV45 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[546]) ).

thf(586,plain,
    ! [SV45: $i] :
      ( ( ( ( index @ status @ ( host @ SV45 ) )
          = elec_2 )
        = $false )
      | ( ( ~ ( setIn @ SV45 @ alive ) )
        = $true )
      | ( ( ( index @ elid @ ( host @ SV45 ) )
          = SV45 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[546]) ).

thf(587,plain,
    ! [SV46: $i,SV91: $i] :
      ( ( ( ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV91 ) ) @ ( host @ SV46 ) )
              | ~ ( setIn @ SV91 @ alive ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV91 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV46 @ alive )
                      | ( ( index @ ldr @ ( host @ SV46 ) )
                       != ( host @ SV46 ) ) )
                | ( ( index @ status @ ( host @ SV46 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[547]) ).

thf(588,plain,
    ! [SV93: $i,SV48: $i] :
      ( ( ( leq @ SV48 @ SV93 )
        = $false )
      | ( ( leq @ ( s @ SV48 ) @ ( s @ SV93 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[550]) ).

thf(589,plain,
    ! [SV93: $i,SV48: $i] :
      ( ( ( leq @ ( s @ SV48 ) @ ( s @ SV93 ) )
        = $false )
      | ( ( leq @ SV48 @ SV93 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[551]) ).

thf(590,plain,
    ! [SV95: $i,SV50: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV50 ) @ ( host @ SV95 ) )
                          | ~ ( setIn @ SV50 @ alive ) )
                    | ~ ( setIn @ SV95 @ alive ) )
              | ( ( index @ status @ ( host @ SV50 ) )
               != elec_2 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV95 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV50 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[552]) ).

thf(591,plain,
    ! [SV97: $i,SV52: $i,SV117: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV117 ) @ ( host @ SV52 ) )
                            | ~ ( setIn @ SV52 @ alive ) )
                      | ~ ( setIn @ SV117 @ alive ) )
                | ( ( host @ SV117 )
                 != ( host @ SV97 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV117 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV97 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[553]) ).

thf(592,plain,
    ! [SV98: $i,SV53: $i] :
      ( ( ( SV53 != SV98 )
        = $false )
      | ( ( ( m_Down @ SV53 )
         != ( m_Down @ SV98 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[554]) ).

thf(593,plain,
    ! [SV98: $i,SV53: $i] :
      ( ( ( ( m_Down @ SV53 )
         != ( m_Down @ SV98 ) )
        = $false )
      | ( ( SV53 != SV98 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[555]) ).

thf(594,plain,
    ! [SV59: $i,SV12: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV12 ) @ ( host @ SV59 ) )
                      | ~ ( setIn @ SV12 @ alive ) )
                | ~ ( setIn @ SV59 @ alive ) )
          | ( ( index @ status @ ( host @ SV12 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV59 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV12 ) ) @ ( index @ pendack @ ( host @ SV59 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[556]) ).

thf(595,plain,
    ! [SV14: $i] :
      ( ( ( leq @ ( s @ zero ) @ SV14 )
        = $false )
      | ( ( leq @ ( host @ sK3_SY128 ) @ SV14 )
        = $true )
      | ( ( ( setIn @ SV14 @ ( index @ down @ ( host @ sK3_SY128 ) ) )
          | ( SV14
            = ( host @ sK4_SY218 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[557]) ).

thf(596,plain,
    ! [SV101: $i,SV61: $i,SV15: $i] :
      ( ( ( elem @ SV15 @ ( cons @ SV61 @ SV101 ) )
        = $false )
      | ( ( ( SV15 = SV61 )
          | ( elem @ SV15 @ SV101 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[558]) ).

thf(597,plain,
    ! [SV101: $i,SV61: $i,SV15: $i] :
      ( ( ( ( SV15 = SV61 )
          | ( elem @ SV15 @ SV101 ) )
        = $false )
      | ( ( elem @ SV15 @ ( cons @ SV61 @ SV101 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[559]) ).

thf(598,plain,
    ! [SV118: $i,SV62: $i,SV102: $i,SV16: $i] :
      ( ( ( ( m_Ack @ SV16 @ SV102 )
          = ( m_Ack @ SV62 @ SV118 ) )
        = $false )
      | ( ( SV102 = SV118 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[560]) ).

thf(599,plain,
    ! [SV19: $i,SV65: $i,SV105: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ! [SY395: $i] :
                          ( ~ ~ ( ~ ~ ( leq @ ( host @ SV105 ) @ SY395 )
                                | ~ ( leq @ ( s @ zero ) @ SY395 ) )
                          | ( setIn @ SY395 @ ( index @ down @ ( host @ SV105 ) ) )
                          | ( SY395
                            = ( host @ SV65 ) ) )
                    | ~ ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
              | ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[561]) ).

thf(600,plain,
    ! [SV21: $i,SV67: $i] :
      ( ( ( SV67 = SV21 )
        = $true )
      | ( ( ( host @ SV67 )
         != ( host @ SV21 ) )
        = $true )
      | ( ( ~ ( setIn @ SV21 @ alive )
          | ~ ( setIn @ SV67 @ alive ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[562]) ).

thf(601,plain,
    ! [SV68: $i,SV106: $i,SV22: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV22 @ alive )
                          | ~ ( setIn @ SV106 @ alive ) )
                    | ( ( host @ SV106 )
                     != ( host @ SV68 ) ) )
              | ( ( index @ status @ ( host @ SV22 ) )
               != elec_2 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV106 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV22 @ SV68 ) @ ( queue @ ( host @ SV22 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[563]) ).

thf(602,plain,
    ! [SV24: $i,SV70: $i,SV108: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( setIn @ SV108 @ alive )
                    | ~ ( elem @ ( m_Down @ SV70 ) @ ( queue @ ( host @ SV108 ) ) ) )
              | ( ( host @ SV70 )
               != ( host @ SV24 ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV108 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV24 @ alive )
                      | ( ( index @ ldr @ ( host @ SV24 ) )
                       != ( host @ SV24 ) ) )
                | ( ( index @ status @ ( host @ SV24 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[564]) ).

thf(603,plain,
    ! [SV71: $i,SV25: $i] :
      ( ( ( SV25 = SV71 )
        = $true )
      | ( ( ( m_Ldr @ SV25 )
         != ( m_Ldr @ SV71 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[565]) ).

thf(604,plain,
    ! [SV71: $i,SV25: $i] :
      ( ( ( ( m_Ldr @ SV25 )
          = ( m_Ldr @ SV71 ) )
        = $true )
      | ( ( SV25 != SV71 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[566]) ).

thf(605,plain,
    ! [SV26: $i,SV72: $i,SV109: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV109 @ alive )
              | ~ ( elem @ ( m_Ack @ SV109 @ SV72 ) @ ( queue @ ( host @ SV109 ) ) ) ) )
        = $false )
      | ( ( ( host @ SV72 )
         != ( host @ SV26 ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                      | ( ( index @ ldr @ ( host @ SV26 ) )
                       != ( host @ SV26 ) ) )
                | ( ( index @ status @ ( host @ SV26 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[567]) ).

thf(606,plain,
    ! [SV73: $i,SV110: $i,SV27: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV27 @ alive )
                          | ~ ( setIn @ SV110 @ alive ) )
                    | ~ ( elem @ ( m_Down @ SV73 ) @ ( queue @ ( host @ SV27 ) ) ) )
              | ( ( host @ SV110 )
               != ( host @ SV73 ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV110 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV110 ) ) @ ( host @ SV27 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[568]) ).

thf(607,plain,
    ! [SV28: $i,SV74: $i] :
      ( ( ( ( index @ status @ ( host @ SV74 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV74 @ alive )
        = $false )
      | ( ( ~ ( elem @ ( m_Ack @ SV28 @ SV74 ) @ ( queue @ ( host @ SV28 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[569]) ).

thf(608,plain,
    ! [SV30: $i,SV76: $i] :
      ( ( ( ~ ( setIn @ SV76 @ alive )
          | ( ( index @ status @ ( host @ SV76 ) )
           != norm ) )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV76 ) )
         != ( host @ SV76 ) )
        = $true )
      | ( ( ~ ~ ( ~ ( setIn @ SV30 @ alive )
                | ~ ( setIn @ ( host @ SV76 ) @ ( index @ down @ ( host @ SV30 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[570]) ).

thf(609,plain,
    ! [SV111: $i,SV77: $i,SV31: $i] :
      ( ( ( leq @ SV31 @ SV77 )
        = $false )
      | ( ( ~ ( leq @ SV77 @ SV111 ) )
        = $true )
      | ( ( leq @ SV31 @ SV111 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[571]) ).

thf(610,plain,
    ! [SV32: $i,SV78: $i,SV112: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( setIn @ SV112 @ alive )
                    | ( ( host @ SV78 )
                     != ( host @ SV112 ) ) )
              | ( ( index @ status @ ( host @ SV112 ) )
               != norm ) ) )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV112 ) )
         != ( host @ SV112 ) )
        = $true )
      | ( ( ~ ~ ( ~ ( setIn @ SV32 @ alive )
                | ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV32 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[572]) ).

thf(611,plain,
    ! [SV80: $i,SV113: $i,SV34: $i] :
      ( ( ( elem @ SV34 @ ( snoc @ SV113 @ SV80 ) )
        = $false )
      | ( ( ( SV34 = SV80 )
          | ( elem @ SV34 @ SV113 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[573]) ).

thf(612,plain,
    ! [SV113: $i,SV80: $i,SV34: $i] :
      ( ( ( ( SV34 = SV80 )
          | ( elem @ SV34 @ SV113 ) )
        = $false )
      | ( ( elem @ SV34 @ ( snoc @ SV113 @ SV80 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[574]) ).

thf(613,plain,
    ! [SV81: $i,SV35: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV35 @ alive )
                | ~ ( setIn @ SV81 @ alive ) )
          | ~ ( setIn @ ( host @ SV81 ) @ ( index @ down @ ( host @ SV35 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV81 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV81 ) ) @ ( host @ SV35 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[575]) ).

thf(614,plain,
    ! [SV84: $i,SV38: $i] :
      ( ( ( ~ ( leq @ SV38 @ SV84 )
          | ~ ( leq @ SV84 @ SV38 ) )
        = $true )
      | ( ( SV38 = SV84 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[576]) ).

thf(615,plain,
    ! [SV84: $i,SV38: $i] :
      ( ( ( ~ ( leq @ SV38 @ SV84 )
          | ~ ( leq @ SV84 @ SV38 ) )
        = $false )
      | ( ( SV38 = SV84 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[577]) ).

thf(616,plain,
    ! [SV119: $i,SV85: $i,SV114: $i,SV39: $i] :
      ( ( ( ( m_Ack @ SV39 @ SV114 )
          = ( m_Ack @ SV85 @ SV119 ) )
        = $false )
      | ( ( SV39 = SV85 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[578]) ).

thf(617,plain,
    ( ( ( host @ sK3_SY128 )
     != ( host @ sK7_SY397 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[579]) ).

thf(618,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ sK7_SY397 ) ) @ ( host @ sK6_SX1 ) )
                  | ~ ( setIn @ sK7_SY397 @ alive ) )
            | ( ( index @ status @ ( host @ sK7_SY397 ) )
             != elec_2 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[580]) ).

thf(619,plain,
    ( ( ~ ~ ( ~ ( setIn @ sK6_SX1 @ alive )
            | ( ( host @ sK3_SY128 )
             != ( host @ sK6_SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[580]) ).

thf(620,plain,
    ! [SV90: $i,SV44: $i] :
      ( ( ( SV44
          = ( s @ SV90 ) )
        = $true )
      | ( ( leq @ SV44 @ SV90 )
        = $true )
      | ( ( leq @ SV44 @ ( s @ SV90 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[583]) ).

thf(621,plain,
    ! [SV90: $i,SV44: $i] :
      ( ( ( SV44
          = ( s @ SV90 ) )
        = $false )
      | ( ( leq @ SV44 @ ( s @ SV90 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[584]) ).

thf(622,plain,
    ! [SV90: $i,SV44: $i] :
      ( ( ( leq @ SV44 @ SV90 )
        = $false )
      | ( ( leq @ SV44 @ ( s @ SV90 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[584]) ).

thf(623,plain,
    ! [SV45: $i] :
      ( ( ( setIn @ SV45 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV45 ) )
          = elec_1 )
        = $false )
      | ( ( ( index @ elid @ ( host @ SV45 ) )
          = SV45 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[585]) ).

thf(624,plain,
    ! [SV45: $i] :
      ( ( ( setIn @ SV45 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV45 ) )
          = elec_2 )
        = $false )
      | ( ( ( index @ elid @ ( host @ SV45 ) )
          = SV45 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[586]) ).

thf(625,plain,
    ! [SV46: $i,SV91: $i] :
      ( ( ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV91 ) ) @ ( host @ SV46 ) )
          | ~ ( setIn @ SV91 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV91 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV46 @ alive )
                      | ( ( index @ ldr @ ( host @ SV46 ) )
                       != ( host @ SV46 ) ) )
                | ( ( index @ status @ ( host @ SV46 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[587]) ).

thf(626,plain,
    ! [SV95: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV50 ) @ ( host @ SV95 ) )
                      | ~ ( setIn @ SV50 @ alive ) )
                | ~ ( setIn @ SV95 @ alive ) )
          | ( ( index @ status @ ( host @ SV50 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV50 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[590]) ).

thf(627,plain,
    ! [SV97: $i,SV52: $i,SV117: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV117 ) @ ( host @ SV52 ) )
                          | ~ ( setIn @ SV52 @ alive ) )
                    | ~ ( setIn @ SV117 @ alive ) )
              | ( ( host @ SV117 )
               != ( host @ SV97 ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV117 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV97 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[591]) ).

thf(628,plain,
    ! [SV98: $i,SV53: $i] :
      ( ( ( SV53 = SV98 )
        = $true )
      | ( ( ( m_Down @ SV53 )
         != ( m_Down @ SV98 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[592]) ).

thf(629,plain,
    ! [SV98: $i,SV53: $i] :
      ( ( ( ( m_Down @ SV53 )
          = ( m_Down @ SV98 ) )
        = $true )
      | ( ( SV53 != SV98 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[593]) ).

thf(630,plain,
    ! [SV59: $i,SV12: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV12 ) @ ( host @ SV59 ) )
                      | ~ ( setIn @ SV12 @ alive ) )
                | ~ ( setIn @ SV59 @ alive ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV12 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV59 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV12 ) ) @ ( index @ pendack @ ( host @ SV59 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[594]) ).

thf(631,plain,
    ! [SV14: $i] :
      ( ( ( setIn @ SV14 @ ( index @ down @ ( host @ sK3_SY128 ) ) )
        = $true )
      | ( ( SV14
          = ( host @ sK4_SY218 ) )
        = $true )
      | ( ( leq @ ( host @ sK3_SY128 ) @ SV14 )
        = $true )
      | ( ( leq @ ( s @ zero ) @ SV14 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[595]) ).

thf(632,plain,
    ! [SV101: $i,SV61: $i,SV15: $i] :
      ( ( ( SV15 = SV61 )
        = $true )
      | ( ( elem @ SV15 @ SV101 )
        = $true )
      | ( ( elem @ SV15 @ ( cons @ SV61 @ SV101 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[596]) ).

thf(633,plain,
    ! [SV101: $i,SV61: $i,SV15: $i] :
      ( ( ( SV15 = SV61 )
        = $false )
      | ( ( elem @ SV15 @ ( cons @ SV61 @ SV101 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[597]) ).

thf(634,plain,
    ! [SV61: $i,SV101: $i,SV15: $i] :
      ( ( ( elem @ SV15 @ SV101 )
        = $false )
      | ( ( elem @ SV15 @ ( cons @ SV61 @ SV101 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[597]) ).

thf(635,plain,
    ! [SV19: $i,SV65: $i,SV105: $i] :
      ( ( ( ~ ~ ( ~ ! [SY395: $i] :
                      ( ~ ~ ( ~ ~ ( leq @ ( host @ SV105 ) @ SY395 )
                            | ~ ( leq @ ( s @ zero ) @ SY395 ) )
                      | ( setIn @ SY395 @ ( index @ down @ ( host @ SV105 ) ) )
                      | ( SY395
                        = ( host @ SV65 ) ) )
                | ~ ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
          | ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[599]) ).

thf(636,plain,
    ! [SV21: $i,SV67: $i] :
      ( ( ( ( host @ SV67 )
          = ( host @ SV21 ) )
        = $false )
      | ( ( SV67 = SV21 )
        = $true )
      | ( ( ~ ( setIn @ SV21 @ alive )
          | ~ ( setIn @ SV67 @ alive ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[600]) ).

thf(637,plain,
    ! [SV68: $i,SV106: $i,SV22: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV22 @ alive )
                      | ~ ( setIn @ SV106 @ alive ) )
                | ( ( host @ SV106 )
                 != ( host @ SV68 ) ) )
          | ( ( index @ status @ ( host @ SV22 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV106 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV22 @ SV68 ) @ ( queue @ ( host @ SV22 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[601]) ).

thf(638,plain,
    ! [SV24: $i,SV70: $i,SV108: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV108 @ alive )
                | ~ ( elem @ ( m_Down @ SV70 ) @ ( queue @ ( host @ SV108 ) ) ) )
          | ( ( host @ SV70 )
           != ( host @ SV24 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV108 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV24 @ alive )
                      | ( ( index @ ldr @ ( host @ SV24 ) )
                       != ( host @ SV24 ) ) )
                | ( ( index @ status @ ( host @ SV24 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[602]) ).

thf(639,plain,
    ! [SV71: $i,SV25: $i] :
      ( ( ( ( m_Ldr @ SV25 )
          = ( m_Ldr @ SV71 ) )
        = $false )
      | ( ( SV25 = SV71 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[603]) ).

thf(640,plain,
    ! [SV71: $i,SV25: $i] :
      ( ( ( SV25 = SV71 )
        = $false )
      | ( ( ( m_Ldr @ SV25 )
          = ( m_Ldr @ SV71 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[604]) ).

thf(641,plain,
    ! [SV26: $i,SV72: $i,SV109: $i] :
      ( ( ( ~ ( setIn @ SV109 @ alive )
          | ~ ( elem @ ( m_Ack @ SV109 @ SV72 ) @ ( queue @ ( host @ SV109 ) ) ) )
        = $true )
      | ( ( ( host @ SV72 )
         != ( host @ SV26 ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                      | ( ( index @ ldr @ ( host @ SV26 ) )
                       != ( host @ SV26 ) ) )
                | ( ( index @ status @ ( host @ SV26 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[605]) ).

thf(642,plain,
    ! [SV73: $i,SV110: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV27 @ alive )
                      | ~ ( setIn @ SV110 @ alive ) )
                | ~ ( elem @ ( m_Down @ SV73 ) @ ( queue @ ( host @ SV27 ) ) ) )
          | ( ( host @ SV110 )
           != ( host @ SV73 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV110 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV110 ) ) @ ( host @ SV27 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[606]) ).

thf(643,plain,
    ! [SV74: $i,SV28: $i] :
      ( ( ( elem @ ( m_Ack @ SV28 @ SV74 ) @ ( queue @ ( host @ SV28 ) ) )
        = $false )
      | ( ( setIn @ SV74 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV74 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[607]) ).

thf(644,plain,
    ! [SV30: $i,SV76: $i] :
      ( ( ( ~ ( setIn @ SV76 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV76 ) )
         != norm )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV76 ) )
         != ( host @ SV76 ) )
        = $true )
      | ( ( ~ ~ ( ~ ( setIn @ SV30 @ alive )
                | ~ ( setIn @ ( host @ SV76 ) @ ( index @ down @ ( host @ SV30 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[608]) ).

thf(645,plain,
    ! [SV31: $i,SV111: $i,SV77: $i] :
      ( ( ( leq @ SV77 @ SV111 )
        = $false )
      | ( ( leq @ SV31 @ SV77 )
        = $false )
      | ( ( leq @ SV31 @ SV111 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[609]) ).

thf(646,plain,
    ! [SV32: $i,SV78: $i,SV112: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV112 @ alive )
                | ( ( host @ SV78 )
                 != ( host @ SV112 ) ) )
          | ( ( index @ status @ ( host @ SV112 ) )
           != norm ) )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV112 ) )
         != ( host @ SV112 ) )
        = $true )
      | ( ( ~ ~ ( ~ ( setIn @ SV32 @ alive )
                | ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV32 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[610]) ).

thf(647,plain,
    ! [SV113: $i,SV80: $i,SV34: $i] :
      ( ( ( SV34 = SV80 )
        = $true )
      | ( ( elem @ SV34 @ SV113 )
        = $true )
      | ( ( elem @ SV34 @ ( snoc @ SV113 @ SV80 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[611]) ).

thf(648,plain,
    ! [SV113: $i,SV80: $i,SV34: $i] :
      ( ( ( SV34 = SV80 )
        = $false )
      | ( ( elem @ SV34 @ ( snoc @ SV113 @ SV80 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[612]) ).

thf(649,plain,
    ! [SV80: $i,SV113: $i,SV34: $i] :
      ( ( ( elem @ SV34 @ SV113 )
        = $false )
      | ( ( elem @ SV34 @ ( snoc @ SV113 @ SV80 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[612]) ).

thf(650,plain,
    ! [SV81: $i,SV35: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV35 @ alive )
                | ~ ( setIn @ SV81 @ alive ) ) )
        = $true )
      | ( ( ~ ( setIn @ ( host @ SV81 ) @ ( index @ down @ ( host @ SV35 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV81 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV81 ) ) @ ( host @ SV35 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[613]) ).

thf(651,plain,
    ! [SV84: $i,SV38: $i] :
      ( ( ( ~ ( leq @ SV38 @ SV84 ) )
        = $true )
      | ( ( ~ ( leq @ SV84 @ SV38 ) )
        = $true )
      | ( ( SV38 = SV84 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[614]) ).

thf(652,plain,
    ! [SV84: $i,SV38: $i] :
      ( ( ( ~ ( leq @ SV38 @ SV84 ) )
        = $false )
      | ( ( SV38 = SV84 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[615]) ).

thf(653,plain,
    ! [SV38: $i,SV84: $i] :
      ( ( ( ~ ( leq @ SV84 @ SV38 ) )
        = $false )
      | ( ( SV38 = SV84 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[615]) ).

thf(654,plain,
    ( ( ( host @ sK3_SY128 )
      = ( host @ sK7_SY397 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[617]) ).

thf(655,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ sK7_SY397 ) ) @ ( host @ sK6_SX1 ) )
                | ~ ( setIn @ sK7_SY397 @ alive ) )
          | ( ( index @ status @ ( host @ sK7_SY397 ) )
           != elec_2 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[618]) ).

thf(656,plain,
    ( ( ~ ( ~ ( setIn @ sK6_SX1 @ alive )
          | ( ( host @ sK3_SY128 )
           != ( host @ sK6_SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[619]) ).

thf(657,plain,
    ! [SV46: $i,SV91: $i] :
      ( ( ( ~ ~ ( leq @ ( index @ pendack @ ( host @ SV91 ) ) @ ( host @ SV46 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV91 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV91 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV46 @ alive )
                      | ( ( index @ ldr @ ( host @ SV46 ) )
                       != ( host @ SV46 ) ) )
                | ( ( index @ status @ ( host @ SV46 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[625]) ).

thf(658,plain,
    ! [SV95: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV50 ) @ ( host @ SV95 ) )
                      | ~ ( setIn @ SV50 @ alive ) )
                | ~ ( setIn @ SV95 @ alive ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV50 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV50 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[626]) ).

thf(659,plain,
    ! [SV97: $i,SV52: $i,SV117: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV117 ) @ ( host @ SV52 ) )
                      | ~ ( setIn @ SV52 @ alive ) )
                | ~ ( setIn @ SV117 @ alive ) )
          | ( ( host @ SV117 )
           != ( host @ SV97 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV117 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV97 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[627]) ).

thf(660,plain,
    ! [SV98: $i,SV53: $i] :
      ( ( ( ( m_Down @ SV53 )
          = ( m_Down @ SV98 ) )
        = $false )
      | ( ( SV53 = SV98 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[628]) ).

thf(661,plain,
    ! [SV98: $i,SV53: $i] :
      ( ( ( SV53 = SV98 )
        = $false )
      | ( ( ( m_Down @ SV53 )
          = ( m_Down @ SV98 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[629]) ).

thf(662,plain,
    ! [SV59: $i,SV12: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV12 ) @ ( host @ SV59 ) )
                    | ~ ( setIn @ SV12 @ alive ) )
              | ~ ( setIn @ SV59 @ alive ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV12 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV59 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV12 ) ) @ ( index @ pendack @ ( host @ SV59 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[630]) ).

thf(663,plain,
    ! [SV19: $i,SV65: $i,SV105: $i] :
      ( ( ( ~ ~ ( ~ ! [SY395: $i] :
                      ( ~ ~ ( ~ ~ ( leq @ ( host @ SV105 ) @ SY395 )
                            | ~ ( leq @ ( s @ zero ) @ SY395 ) )
                      | ( setIn @ SY395 @ ( index @ down @ ( host @ SV105 ) ) )
                      | ( SY395
                        = ( host @ SV65 ) ) )
                | ~ ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[635]) ).

thf(664,plain,
    ! [SV67: $i,SV21: $i] :
      ( ( ( ~ ( setIn @ SV21 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV67 @ alive ) )
        = $true )
      | ( ( SV67 = SV21 )
        = $true )
      | ( ( ( host @ SV67 )
          = ( host @ SV21 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[636]) ).

thf(665,plain,
    ! [SV68: $i,SV106: $i,SV22: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV22 @ alive )
                      | ~ ( setIn @ SV106 @ alive ) )
                | ( ( host @ SV106 )
                 != ( host @ SV68 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV22 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV106 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV22 @ SV68 ) @ ( queue @ ( host @ SV22 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[637]) ).

thf(666,plain,
    ! [SV24: $i,SV70: $i,SV108: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV108 @ alive )
                | ~ ( elem @ ( m_Down @ SV70 ) @ ( queue @ ( host @ SV108 ) ) ) ) )
        = $true )
      | ( ( ( host @ SV70 )
         != ( host @ SV24 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV108 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV24 @ alive )
                      | ( ( index @ ldr @ ( host @ SV24 ) )
                       != ( host @ SV24 ) ) )
                | ( ( index @ status @ ( host @ SV24 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[638]) ).

thf(667,plain,
    ! [SV26: $i,SV72: $i,SV109: $i] :
      ( ( ( ~ ( setIn @ SV109 @ alive ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV109 @ SV72 ) @ ( queue @ ( host @ SV109 ) ) ) )
        = $true )
      | ( ( ( host @ SV72 )
         != ( host @ SV26 ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                      | ( ( index @ ldr @ ( host @ SV26 ) )
                       != ( host @ SV26 ) ) )
                | ( ( index @ status @ ( host @ SV26 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[641]) ).

thf(668,plain,
    ! [SV73: $i,SV110: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV27 @ alive )
                      | ~ ( setIn @ SV110 @ alive ) )
                | ~ ( elem @ ( m_Down @ SV73 ) @ ( queue @ ( host @ SV27 ) ) ) ) )
        = $true )
      | ( ( ( host @ SV110 )
         != ( host @ SV73 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV110 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV110 ) ) @ ( host @ SV27 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[642]) ).

thf(669,plain,
    ! [SV30: $i,SV76: $i] :
      ( ( ( setIn @ SV76 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV76 ) )
         != norm )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV76 ) )
         != ( host @ SV76 ) )
        = $true )
      | ( ( ~ ~ ( ~ ( setIn @ SV30 @ alive )
                | ~ ( setIn @ ( host @ SV76 ) @ ( index @ down @ ( host @ SV30 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[644]) ).

thf(670,plain,
    ! [SV32: $i,SV78: $i,SV112: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV112 @ alive )
                | ( ( host @ SV78 )
                 != ( host @ SV112 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV112 ) )
         != norm )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV112 ) )
         != ( host @ SV112 ) )
        = $true )
      | ( ( ~ ~ ( ~ ( setIn @ SV32 @ alive )
                | ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV32 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[646]) ).

thf(671,plain,
    ! [SV81: $i,SV35: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV35 @ alive )
              | ~ ( setIn @ SV81 @ alive ) ) )
        = $false )
      | ( ( ~ ( setIn @ ( host @ SV81 ) @ ( index @ down @ ( host @ SV35 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV81 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV81 ) ) @ ( host @ SV35 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[650]) ).

thf(672,plain,
    ! [SV84: $i,SV38: $i] :
      ( ( ( leq @ SV38 @ SV84 )
        = $false )
      | ( ( ~ ( leq @ SV84 @ SV38 ) )
        = $true )
      | ( ( SV38 = SV84 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[651]) ).

thf(673,plain,
    ! [SV84: $i,SV38: $i] :
      ( ( ( leq @ SV38 @ SV84 )
        = $true )
      | ( ( SV38 = SV84 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[652]) ).

thf(674,plain,
    ! [SV38: $i,SV84: $i] :
      ( ( ( leq @ SV84 @ SV38 )
        = $true )
      | ( ( SV38 = SV84 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[653]) ).

thf(675,plain,
    ( ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ sK7_SY397 ) ) @ ( host @ sK6_SX1 ) )
            | ~ ( setIn @ sK7_SY397 @ alive ) )
      | ( ( index @ status @ ( host @ sK7_SY397 ) )
       != elec_2 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[655]) ).

thf(676,plain,
    ( ( ~ ( setIn @ sK6_SX1 @ alive )
      | ( ( host @ sK3_SY128 )
       != ( host @ sK6_SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[656]) ).

thf(677,plain,
    ! [SV46: $i,SV91: $i] :
      ( ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV91 ) ) @ ( host @ SV46 ) ) )
        = $false )
      | ( ( ~ ( setIn @ SV91 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV91 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV46 @ alive )
                      | ( ( index @ ldr @ ( host @ SV46 ) )
                       != ( host @ SV46 ) ) )
                | ( ( index @ status @ ( host @ SV46 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[657]) ).

thf(678,plain,
    ! [SV95: $i,SV50: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV50 ) @ ( host @ SV95 ) )
                    | ~ ( setIn @ SV50 @ alive ) )
              | ~ ( setIn @ SV95 @ alive ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV50 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV50 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[658]) ).

thf(679,plain,
    ! [SV97: $i,SV52: $i,SV117: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV117 ) @ ( host @ SV52 ) )
                      | ~ ( setIn @ SV52 @ alive ) )
                | ~ ( setIn @ SV117 @ alive ) ) )
        = $true )
      | ( ( ( host @ SV117 )
         != ( host @ SV97 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV117 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV97 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[659]) ).

thf(680,plain,
    ! [SV59: $i,SV12: $i] :
      ( ( ( ~ ~ ( ~ ~ ( leq @ ( host @ SV12 ) @ ( host @ SV59 ) )
                | ~ ( setIn @ SV12 @ alive ) )
          | ~ ( setIn @ SV59 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV12 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV59 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV12 ) ) @ ( index @ pendack @ ( host @ SV59 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[662]) ).

thf(681,plain,
    ! [SV19: $i,SV65: $i,SV105: $i] :
      ( ( ( ~ ( ~ ! [SY395: $i] :
                    ( ~ ~ ( ~ ~ ( leq @ ( host @ SV105 ) @ SY395 )
                          | ~ ( leq @ ( s @ zero ) @ SY395 ) )
                    | ( setIn @ SY395 @ ( index @ down @ ( host @ SV105 ) ) )
                    | ( SY395
                      = ( host @ SV65 ) ) )
              | ~ ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) ) )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[663]) ).

thf(682,plain,
    ! [SV67: $i,SV21: $i] :
      ( ( ( setIn @ SV21 @ alive )
        = $false )
      | ( ( ~ ( setIn @ SV67 @ alive ) )
        = $true )
      | ( ( SV67 = SV21 )
        = $true )
      | ( ( ( host @ SV67 )
          = ( host @ SV21 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[664]) ).

thf(683,plain,
    ! [SV68: $i,SV106: $i,SV22: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( setIn @ SV22 @ alive )
                    | ~ ( setIn @ SV106 @ alive ) )
              | ( ( host @ SV106 )
               != ( host @ SV68 ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV22 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV106 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV22 @ SV68 ) @ ( queue @ ( host @ SV22 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[665]) ).

thf(684,plain,
    ! [SV24: $i,SV70: $i,SV108: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV108 @ alive )
              | ~ ( elem @ ( m_Down @ SV70 ) @ ( queue @ ( host @ SV108 ) ) ) ) )
        = $false )
      | ( ( ( host @ SV70 )
         != ( host @ SV24 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV108 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV24 @ alive )
                      | ( ( index @ ldr @ ( host @ SV24 ) )
                       != ( host @ SV24 ) ) )
                | ( ( index @ status @ ( host @ SV24 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[666]) ).

thf(685,plain,
    ! [SV26: $i,SV72: $i,SV109: $i] :
      ( ( ( setIn @ SV109 @ alive )
        = $false )
      | ( ( ~ ( elem @ ( m_Ack @ SV109 @ SV72 ) @ ( queue @ ( host @ SV109 ) ) ) )
        = $true )
      | ( ( ( host @ SV72 )
         != ( host @ SV26 ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                      | ( ( index @ ldr @ ( host @ SV26 ) )
                       != ( host @ SV26 ) ) )
                | ( ( index @ status @ ( host @ SV26 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[667]) ).

thf(686,plain,
    ! [SV73: $i,SV110: $i,SV27: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( setIn @ SV27 @ alive )
                    | ~ ( setIn @ SV110 @ alive ) )
              | ~ ( elem @ ( m_Down @ SV73 ) @ ( queue @ ( host @ SV27 ) ) ) ) )
        = $false )
      | ( ( ( host @ SV110 )
         != ( host @ SV73 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV110 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV110 ) ) @ ( host @ SV27 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[668]) ).

thf(687,plain,
    ! [SV30: $i,SV76: $i] :
      ( ( ( ( index @ status @ ( host @ SV76 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV76 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV76 ) )
         != ( host @ SV76 ) )
        = $true )
      | ( ( ~ ~ ( ~ ( setIn @ SV30 @ alive )
                | ~ ( setIn @ ( host @ SV76 ) @ ( index @ down @ ( host @ SV30 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[669]) ).

thf(688,plain,
    ! [SV32: $i,SV78: $i,SV112: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV112 @ alive )
              | ( ( host @ SV78 )
               != ( host @ SV112 ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV112 ) )
         != norm )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV112 ) )
         != ( host @ SV112 ) )
        = $true )
      | ( ( ~ ~ ( ~ ( setIn @ SV32 @ alive )
                | ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV32 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[670]) ).

thf(689,plain,
    ! [SV81: $i,SV35: $i] :
      ( ( ( ~ ( setIn @ SV35 @ alive )
          | ~ ( setIn @ SV81 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ ( host @ SV81 ) @ ( index @ down @ ( host @ SV35 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV81 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV81 ) ) @ ( host @ SV35 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[671]) ).

thf(690,plain,
    ! [SV38: $i,SV84: $i] :
      ( ( ( leq @ SV84 @ SV38 )
        = $false )
      | ( ( leq @ SV38 @ SV84 )
        = $false )
      | ( ( SV38 = SV84 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[672]) ).

thf(691,plain,
    ( ( ~ ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ sK7_SY397 ) ) @ ( host @ sK6_SX1 ) )
            | ~ ( setIn @ sK7_SY397 @ alive ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[675]) ).

thf(692,plain,
    ( ( ( index @ status @ ( host @ sK7_SY397 ) )
     != elec_2 )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[675]) ).

thf(693,plain,
    ( ( ~ ( setIn @ sK6_SX1 @ alive ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[676]) ).

thf(694,plain,
    ( ( ( host @ sK3_SY128 )
     != ( host @ sK6_SX1 ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[676]) ).

thf(695,plain,
    ! [SV46: $i,SV91: $i] :
      ( ( ( leq @ ( index @ pendack @ ( host @ SV91 ) ) @ ( host @ SV46 ) )
        = $true )
      | ( ( ~ ( setIn @ SV91 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV91 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV46 @ alive )
                      | ( ( index @ ldr @ ( host @ SV46 ) )
                       != ( host @ SV46 ) ) )
                | ( ( index @ status @ ( host @ SV46 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[677]) ).

thf(696,plain,
    ! [SV95: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( leq @ ( host @ SV50 ) @ ( host @ SV95 ) )
                | ~ ( setIn @ SV50 @ alive ) )
          | ~ ( setIn @ SV95 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV50 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV50 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[678]) ).

thf(697,plain,
    ! [SV97: $i,SV52: $i,SV117: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV117 ) @ ( host @ SV52 ) )
                    | ~ ( setIn @ SV52 @ alive ) )
              | ~ ( setIn @ SV117 @ alive ) ) )
        = $false )
      | ( ( ( host @ SV117 )
         != ( host @ SV97 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV117 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV97 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[679]) ).

thf(698,plain,
    ! [SV59: $i,SV12: $i] :
      ( ( ( ~ ~ ( ~ ~ ( leq @ ( host @ SV12 ) @ ( host @ SV59 ) )
                | ~ ( setIn @ SV12 @ alive ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV59 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV12 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV59 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV12 ) ) @ ( index @ pendack @ ( host @ SV59 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[680]) ).

thf(699,plain,
    ! [SV19: $i,SV65: $i,SV105: $i] :
      ( ( ( ~ ! [SY395: $i] :
                ( ~ ~ ( ~ ~ ( leq @ ( host @ SV105 ) @ SY395 )
                      | ~ ( leq @ ( s @ zero ) @ SY395 ) )
                | ( setIn @ SY395 @ ( index @ down @ ( host @ SV105 ) ) )
                | ( SY395
                  = ( host @ SV65 ) ) )
          | ~ ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[681]) ).

thf(700,plain,
    ! [SV21: $i,SV67: $i] :
      ( ( ( setIn @ SV67 @ alive )
        = $false )
      | ( ( setIn @ SV21 @ alive )
        = $false )
      | ( ( SV67 = SV21 )
        = $true )
      | ( ( ( host @ SV67 )
          = ( host @ SV21 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[682]) ).

thf(701,plain,
    ! [SV68: $i,SV106: $i,SV22: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV22 @ alive )
                | ~ ( setIn @ SV106 @ alive ) )
          | ( ( host @ SV106 )
           != ( host @ SV68 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV22 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV106 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV22 @ SV68 ) @ ( queue @ ( host @ SV22 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[683]) ).

thf(702,plain,
    ! [SV24: $i,SV70: $i,SV108: $i] :
      ( ( ( ~ ( setIn @ SV108 @ alive )
          | ~ ( elem @ ( m_Down @ SV70 ) @ ( queue @ ( host @ SV108 ) ) ) )
        = $true )
      | ( ( ( host @ SV70 )
         != ( host @ SV24 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV108 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV24 @ alive )
                      | ( ( index @ ldr @ ( host @ SV24 ) )
                       != ( host @ SV24 ) ) )
                | ( ( index @ status @ ( host @ SV24 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[684]) ).

thf(703,plain,
    ! [SV26: $i,SV72: $i,SV109: $i] :
      ( ( ( elem @ ( m_Ack @ SV109 @ SV72 ) @ ( queue @ ( host @ SV109 ) ) )
        = $false )
      | ( ( setIn @ SV109 @ alive )
        = $false )
      | ( ( ( host @ SV72 )
         != ( host @ SV26 ) )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                      | ( ( index @ ldr @ ( host @ SV26 ) )
                       != ( host @ SV26 ) ) )
                | ( ( index @ status @ ( host @ SV26 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[685]) ).

thf(704,plain,
    ! [SV73: $i,SV110: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV27 @ alive )
                | ~ ( setIn @ SV110 @ alive ) )
          | ~ ( elem @ ( m_Down @ SV73 ) @ ( queue @ ( host @ SV27 ) ) ) )
        = $true )
      | ( ( ( host @ SV110 )
         != ( host @ SV73 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV110 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV110 ) ) @ ( host @ SV27 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[686]) ).

thf(705,plain,
    ! [SV30: $i,SV76: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV76 ) )
          = ( host @ SV76 ) )
        = $false )
      | ( ( setIn @ SV76 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV76 ) )
          = norm )
        = $false )
      | ( ( ~ ~ ( ~ ( setIn @ SV30 @ alive )
                | ~ ( setIn @ ( host @ SV76 ) @ ( index @ down @ ( host @ SV30 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[687]) ).

thf(706,plain,
    ! [SV32: $i,SV78: $i,SV112: $i] :
      ( ( ( ~ ( setIn @ SV112 @ alive )
          | ( ( host @ SV78 )
           != ( host @ SV112 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV112 ) )
         != norm )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV112 ) )
         != ( host @ SV112 ) )
        = $true )
      | ( ( ~ ~ ( ~ ( setIn @ SV32 @ alive )
                | ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV32 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[688]) ).

thf(707,plain,
    ! [SV81: $i,SV35: $i] :
      ( ( ( ~ ( setIn @ SV35 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV81 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ ( host @ SV81 ) @ ( index @ down @ ( host @ SV35 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV81 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV81 ) ) @ ( host @ SV35 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[689]) ).

thf(708,plain,
    ( ( ~ ( ~ ~ ( leq @ ( index @ pendack @ ( host @ sK7_SY397 ) ) @ ( host @ sK6_SX1 ) )
          | ~ ( setIn @ sK7_SY397 @ alive ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[691]) ).

thf(709,plain,
    ( ( ( index @ status @ ( host @ sK7_SY397 ) )
      = elec_2 )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[692]) ).

thf(710,plain,
    ( ( setIn @ sK6_SX1 @ alive )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[693]) ).

thf(711,plain,
    ( ( ( host @ sK3_SY128 )
      = ( host @ sK6_SX1 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[694]) ).

thf(712,plain,
    ! [SV46: $i,SV91: $i] :
      ( ( ( setIn @ SV91 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV91 ) ) @ ( host @ SV46 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV91 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV46 @ alive )
                      | ( ( index @ ldr @ ( host @ SV46 ) )
                       != ( host @ SV46 ) ) )
                | ( ( index @ status @ ( host @ SV46 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[695]) ).

thf(713,plain,
    ! [SV95: $i,SV50: $i] :
      ( ( ( ~ ~ ( ~ ~ ( leq @ ( host @ SV50 ) @ ( host @ SV95 ) )
                | ~ ( setIn @ SV50 @ alive ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV95 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV50 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV50 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[696]) ).

thf(714,plain,
    ! [SV97: $i,SV52: $i,SV117: $i] :
      ( ( ( ~ ~ ( ~ ~ ( leq @ ( host @ SV117 ) @ ( host @ SV52 ) )
                | ~ ( setIn @ SV52 @ alive ) )
          | ~ ( setIn @ SV117 @ alive ) )
        = $true )
      | ( ( ( host @ SV117 )
         != ( host @ SV97 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV117 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV97 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[697]) ).

thf(715,plain,
    ! [SV59: $i,SV12: $i] :
      ( ( ( ~ ( ~ ~ ( leq @ ( host @ SV12 ) @ ( host @ SV59 ) )
              | ~ ( setIn @ SV12 @ alive ) ) )
        = $false )
      | ( ( ~ ( setIn @ SV59 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV12 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV59 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV12 ) ) @ ( index @ pendack @ ( host @ SV59 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[698]) ).

thf(716,plain,
    ! [SV19: $i,SV65: $i,SV105: $i] :
      ( ( ( ~ ! [SY395: $i] :
                ( ~ ~ ( ~ ~ ( leq @ ( host @ SV105 ) @ SY395 )
                      | ~ ( leq @ ( s @ zero ) @ SY395 ) )
                | ( setIn @ SY395 @ ( index @ down @ ( host @ SV105 ) ) )
                | ( SY395
                  = ( host @ SV65 ) ) ) )
        = $true )
      | ( ( ~ ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[699]) ).

thf(717,plain,
    ! [SV68: $i,SV106: $i,SV22: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV22 @ alive )
                | ~ ( setIn @ SV106 @ alive ) ) )
        = $true )
      | ( ( ( host @ SV106 )
         != ( host @ SV68 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV22 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV106 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV22 @ SV68 ) @ ( queue @ ( host @ SV22 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[701]) ).

thf(718,plain,
    ! [SV24: $i,SV70: $i,SV108: $i] :
      ( ( ( ~ ( setIn @ SV108 @ alive ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV70 ) @ ( queue @ ( host @ SV108 ) ) ) )
        = $true )
      | ( ( ( host @ SV70 )
         != ( host @ SV24 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV108 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV24 @ alive )
                      | ( ( index @ ldr @ ( host @ SV24 ) )
                       != ( host @ SV24 ) ) )
                | ( ( index @ status @ ( host @ SV24 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[702]) ).

thf(719,plain,
    ! [SV109: $i,SV26: $i,SV72: $i] :
      ( ( ( ( host @ SV72 )
          = ( host @ SV26 ) )
        = $false )
      | ( ( setIn @ SV109 @ alive )
        = $false )
      | ( ( elem @ ( m_Ack @ SV109 @ SV72 ) @ ( queue @ ( host @ SV109 ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                      | ( ( index @ ldr @ ( host @ SV26 ) )
                       != ( host @ SV26 ) ) )
                | ( ( index @ status @ ( host @ SV26 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[703]) ).

thf(720,plain,
    ! [SV73: $i,SV110: $i,SV27: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV27 @ alive )
                | ~ ( setIn @ SV110 @ alive ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV73 ) @ ( queue @ ( host @ SV27 ) ) ) )
        = $true )
      | ( ( ( host @ SV110 )
         != ( host @ SV73 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV110 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV110 ) ) @ ( host @ SV27 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[704]) ).

thf(721,plain,
    ! [SV76: $i,SV30: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV30 @ alive )
              | ~ ( setIn @ ( host @ SV76 ) @ ( index @ down @ ( host @ SV30 ) ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV76 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV76 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV76 ) )
          = ( host @ SV76 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[705]) ).

thf(722,plain,
    ! [SV32: $i,SV78: $i,SV112: $i] :
      ( ( ( ~ ( setIn @ SV112 @ alive ) )
        = $true )
      | ( ( ( host @ SV78 )
         != ( host @ SV112 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV112 ) )
         != norm )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV112 ) )
         != ( host @ SV112 ) )
        = $true )
      | ( ( ~ ~ ( ~ ( setIn @ SV32 @ alive )
                | ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV32 ) ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[706]) ).

thf(723,plain,
    ! [SV81: $i,SV35: $i] :
      ( ( ( setIn @ SV35 @ alive )
        = $false )
      | ( ( ~ ( setIn @ SV81 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ ( host @ SV81 ) @ ( index @ down @ ( host @ SV35 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV81 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV81 ) ) @ ( host @ SV35 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[707]) ).

thf(724,plain,
    ( ( ~ ~ ( leq @ ( index @ pendack @ ( host @ sK7_SY397 ) ) @ ( host @ sK6_SX1 ) )
      | ~ ( setIn @ sK7_SY397 @ alive ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[708]) ).

thf(725,plain,
    ! [SV46: $i,SV91: $i] :
      ( ( ( ( index @ status @ ( host @ SV91 ) )
          = elec_2 )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV91 ) ) @ ( host @ SV46 ) )
        = $true )
      | ( ( setIn @ SV91 @ alive )
        = $false )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV46 @ alive )
                      | ( ( index @ ldr @ ( host @ SV46 ) )
                       != ( host @ SV46 ) ) )
                | ( ( index @ status @ ( host @ SV46 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[712]) ).

thf(726,plain,
    ! [SV95: $i,SV50: $i] :
      ( ( ( ~ ( ~ ~ ( leq @ ( host @ SV50 ) @ ( host @ SV95 ) )
              | ~ ( setIn @ SV50 @ alive ) ) )
        = $false )
      | ( ( ~ ( setIn @ SV95 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV50 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV50 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[713]) ).

thf(727,plain,
    ! [SV97: $i,SV52: $i,SV117: $i] :
      ( ( ( ~ ~ ( ~ ~ ( leq @ ( host @ SV117 ) @ ( host @ SV52 ) )
                | ~ ( setIn @ SV52 @ alive ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV117 @ alive ) )
        = $true )
      | ( ( ( host @ SV117 )
         != ( host @ SV97 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV117 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV97 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[714]) ).

thf(728,plain,
    ! [SV59: $i,SV12: $i] :
      ( ( ( ~ ~ ( leq @ ( host @ SV12 ) @ ( host @ SV59 ) )
          | ~ ( setIn @ SV12 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV59 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV12 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV59 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV12 ) ) @ ( index @ pendack @ ( host @ SV59 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[715]) ).

thf(729,plain,
    ! [SV19: $i,SV65: $i,SV105: $i] :
      ( ( ( ! [SY395: $i] :
              ( ~ ~ ( ~ ~ ( leq @ ( host @ SV105 ) @ SY395 )
                    | ~ ( leq @ ( s @ zero ) @ SY395 ) )
              | ( setIn @ SY395 @ ( index @ down @ ( host @ SV105 ) ) )
              | ( SY395
                = ( host @ SV65 ) ) ) )
        = $false )
      | ( ( ~ ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[716]) ).

thf(730,plain,
    ! [SV68: $i,SV106: $i,SV22: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV22 @ alive )
              | ~ ( setIn @ SV106 @ alive ) ) )
        = $false )
      | ( ( ( host @ SV106 )
         != ( host @ SV68 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV22 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV106 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV22 @ SV68 ) @ ( queue @ ( host @ SV22 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[717]) ).

thf(731,plain,
    ! [SV24: $i,SV70: $i,SV108: $i] :
      ( ( ( setIn @ SV108 @ alive )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV70 ) @ ( queue @ ( host @ SV108 ) ) ) )
        = $true )
      | ( ( ( host @ SV70 )
         != ( host @ SV24 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV108 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV24 @ alive )
                      | ( ( index @ ldr @ ( host @ SV24 ) )
                       != ( host @ SV24 ) ) )
                | ( ( index @ status @ ( host @ SV24 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[718]) ).

thf(732,plain,
    ! [SV72: $i,SV109: $i,SV26: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                    | ( ( index @ ldr @ ( host @ SV26 ) )
                     != ( host @ SV26 ) ) )
              | ( ( index @ status @ ( host @ SV26 ) )
               != norm ) ) )
        = $false )
      | ( ( elem @ ( m_Ack @ SV109 @ SV72 ) @ ( queue @ ( host @ SV109 ) ) )
        = $false )
      | ( ( setIn @ SV109 @ alive )
        = $false )
      | ( ( ( host @ SV72 )
          = ( host @ SV26 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[719]) ).

thf(733,plain,
    ! [SV73: $i,SV110: $i,SV27: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV27 @ alive )
              | ~ ( setIn @ SV110 @ alive ) ) )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV73 ) @ ( queue @ ( host @ SV27 ) ) ) )
        = $true )
      | ( ( ( host @ SV110 )
         != ( host @ SV73 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV110 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV110 ) ) @ ( host @ SV27 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[720]) ).

thf(734,plain,
    ! [SV76: $i,SV30: $i] :
      ( ( ( ~ ( setIn @ SV30 @ alive )
          | ~ ( setIn @ ( host @ SV76 ) @ ( index @ down @ ( host @ SV30 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV76 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV76 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV76 ) )
          = ( host @ SV76 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[721]) ).

thf(735,plain,
    ! [SV32: $i,SV78: $i,SV112: $i] :
      ( ( ( setIn @ SV112 @ alive )
        = $false )
      | ( ( ( host @ SV78 )
         != ( host @ SV112 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV112 ) )
         != norm )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV112 ) )
         != ( host @ SV112 ) )
        = $true )
      | ( ( ~ ~ ( ~ ( setIn @ SV32 @ alive )
                | ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV32 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[722]) ).

thf(736,plain,
    ! [SV35: $i,SV81: $i] :
      ( ( ( setIn @ SV81 @ alive )
        = $false )
      | ( ( setIn @ SV35 @ alive )
        = $false )
      | ( ( ~ ( setIn @ ( host @ SV81 ) @ ( index @ down @ ( host @ SV35 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV81 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV81 ) ) @ ( host @ SV35 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[723]) ).

thf(737,plain,
    ( ( ~ ~ ( leq @ ( index @ pendack @ ( host @ sK7_SY397 ) ) @ ( host @ sK6_SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[724]) ).

thf(738,plain,
    ( ( ~ ( setIn @ sK7_SY397 @ alive ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[724]) ).

thf(739,plain,
    ! [SV91: $i,SV46: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( setIn @ SV46 @ alive )
                    | ( ( index @ ldr @ ( host @ SV46 ) )
                     != ( host @ SV46 ) ) )
              | ( ( index @ status @ ( host @ SV46 ) )
               != norm ) ) )
        = $false )
      | ( ( setIn @ SV91 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV91 ) ) @ ( host @ SV46 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV91 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[725]) ).

thf(740,plain,
    ! [SV95: $i,SV50: $i] :
      ( ( ( ~ ~ ( leq @ ( host @ SV50 ) @ ( host @ SV95 ) )
          | ~ ( setIn @ SV50 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV95 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV50 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV50 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[726]) ).

thf(741,plain,
    ! [SV97: $i,SV52: $i,SV117: $i] :
      ( ( ( ~ ( ~ ~ ( leq @ ( host @ SV117 ) @ ( host @ SV52 ) )
              | ~ ( setIn @ SV52 @ alive ) ) )
        = $false )
      | ( ( ~ ( setIn @ SV117 @ alive ) )
        = $true )
      | ( ( ( host @ SV117 )
         != ( host @ SV97 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV117 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV97 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[727]) ).

thf(742,plain,
    ! [SV59: $i,SV12: $i] :
      ( ( ( ~ ~ ( leq @ ( host @ SV12 ) @ ( host @ SV59 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV12 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV59 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV12 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV59 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV12 ) ) @ ( index @ pendack @ ( host @ SV59 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[728]) ).

thf(743,plain,
    ! [SV65: $i,SV19: $i,SV105: $i] :
      ( ( ( ~ ~ ( ~ ~ ( leq @ ( host @ SV105 ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
                | ~ ( leq @ ( s @ zero ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) ) )
          | ( setIn @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) @ ( index @ down @ ( host @ SV105 ) ) )
          | ( ( sK8_SY395 @ SV19 @ SV65 @ SV105 )
            = ( host @ SV65 ) ) )
        = $false )
      | ( ( ~ ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[729]) ).

thf(744,plain,
    ! [SV68: $i,SV106: $i,SV22: $i] :
      ( ( ( ~ ( setIn @ SV22 @ alive )
          | ~ ( setIn @ SV106 @ alive ) )
        = $true )
      | ( ( ( host @ SV106 )
         != ( host @ SV68 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV22 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV106 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV22 @ SV68 ) @ ( queue @ ( host @ SV22 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[730]) ).

thf(745,plain,
    ! [SV24: $i,SV108: $i,SV70: $i] :
      ( ( ( elem @ ( m_Down @ SV70 ) @ ( queue @ ( host @ SV108 ) ) )
        = $false )
      | ( ( setIn @ SV108 @ alive )
        = $false )
      | ( ( ( host @ SV70 )
         != ( host @ SV24 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV108 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV24 @ alive )
                      | ( ( index @ ldr @ ( host @ SV24 ) )
                       != ( host @ SV24 ) ) )
                | ( ( index @ status @ ( host @ SV24 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[731]) ).

thf(746,plain,
    ! [SV72: $i,SV109: $i,SV26: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                | ( ( index @ ldr @ ( host @ SV26 ) )
                 != ( host @ SV26 ) ) )
          | ( ( index @ status @ ( host @ SV26 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Ack @ SV109 @ SV72 ) @ ( queue @ ( host @ SV109 ) ) )
        = $false )
      | ( ( setIn @ SV109 @ alive )
        = $false )
      | ( ( ( host @ SV72 )
          = ( host @ SV26 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[732]) ).

thf(747,plain,
    ! [SV73: $i,SV110: $i,SV27: $i] :
      ( ( ( ~ ( setIn @ SV27 @ alive )
          | ~ ( setIn @ SV110 @ alive ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV73 ) @ ( queue @ ( host @ SV27 ) ) ) )
        = $true )
      | ( ( ( host @ SV110 )
         != ( host @ SV73 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV110 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV110 ) ) @ ( host @ SV27 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[733]) ).

thf(748,plain,
    ! [SV76: $i,SV30: $i] :
      ( ( ( ~ ( setIn @ SV30 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ ( host @ SV76 ) @ ( index @ down @ ( host @ SV30 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV76 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV76 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV76 ) )
          = ( host @ SV76 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[734]) ).

thf(749,plain,
    ! [SV32: $i,SV112: $i,SV78: $i] :
      ( ( ( ( host @ SV78 )
          = ( host @ SV112 ) )
        = $false )
      | ( ( setIn @ SV112 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV112 ) )
         != norm )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV112 ) )
         != ( host @ SV112 ) )
        = $true )
      | ( ( ~ ~ ( ~ ( setIn @ SV32 @ alive )
                | ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV32 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[735]) ).

thf(750,plain,
    ! [SV35: $i,SV81: $i] :
      ( ( ( setIn @ ( host @ SV81 ) @ ( index @ down @ ( host @ SV35 ) ) )
        = $false )
      | ( ( setIn @ SV35 @ alive )
        = $false )
      | ( ( setIn @ SV81 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV81 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV81 ) ) @ ( host @ SV35 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[736]) ).

thf(751,plain,
    ( ( ~ ( leq @ ( index @ pendack @ ( host @ sK7_SY397 ) ) @ ( host @ sK6_SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[737]) ).

thf(752,plain,
    ( ( setIn @ sK7_SY397 @ alive )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[738]) ).

thf(753,plain,
    ! [SV91: $i,SV46: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV46 @ alive )
                | ( ( index @ ldr @ ( host @ SV46 ) )
                 != ( host @ SV46 ) ) )
          | ( ( index @ status @ ( host @ SV46 ) )
           != norm ) )
        = $true )
      | ( ( setIn @ SV91 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV91 ) ) @ ( host @ SV46 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV91 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[739]) ).

thf(754,plain,
    ! [SV95: $i,SV50: $i] :
      ( ( ( ~ ~ ( leq @ ( host @ SV50 ) @ ( host @ SV95 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV50 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV95 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV50 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV50 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[740]) ).

thf(755,plain,
    ! [SV97: $i,SV52: $i,SV117: $i] :
      ( ( ( ~ ~ ( leq @ ( host @ SV117 ) @ ( host @ SV52 ) )
          | ~ ( setIn @ SV52 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV117 @ alive ) )
        = $true )
      | ( ( ( host @ SV117 )
         != ( host @ SV97 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV117 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV97 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[741]) ).

thf(756,plain,
    ! [SV59: $i,SV12: $i] :
      ( ( ( ~ ( leq @ ( host @ SV12 ) @ ( host @ SV59 ) ) )
        = $false )
      | ( ( ~ ( setIn @ SV12 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV59 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV12 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV59 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV12 ) ) @ ( index @ pendack @ ( host @ SV59 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[742]) ).

thf(757,plain,
    ! [SV65: $i,SV19: $i,SV105: $i] :
      ( ( ( ~ ~ ( ~ ~ ( leq @ ( host @ SV105 ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
                | ~ ( leq @ ( s @ zero ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) ) ) )
        = $false )
      | ( ( ~ ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[743]) ).

thf(758,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ( setIn @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) @ ( index @ down @ ( host @ SV105 ) ) )
          | ( ( sK8_SY395 @ SV19 @ SV65 @ SV105 )
            = ( host @ SV65 ) ) )
        = $false )
      | ( ( ~ ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[743]) ).

thf(759,plain,
    ! [SV68: $i,SV106: $i,SV22: $i] :
      ( ( ( ~ ( setIn @ SV22 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV106 @ alive ) )
        = $true )
      | ( ( ( host @ SV106 )
         != ( host @ SV68 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV22 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV106 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV22 @ SV68 ) @ ( queue @ ( host @ SV22 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[744]) ).

thf(760,plain,
    ! [SV108: $i,SV24: $i,SV70: $i] :
      ( ( ( ( host @ SV70 )
          = ( host @ SV24 ) )
        = $false )
      | ( ( setIn @ SV108 @ alive )
        = $false )
      | ( ( elem @ ( m_Down @ SV70 ) @ ( queue @ ( host @ SV108 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV108 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV24 @ alive )
                      | ( ( index @ ldr @ ( host @ SV24 ) )
                       != ( host @ SV24 ) ) )
                | ( ( index @ status @ ( host @ SV24 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[745]) ).

thf(761,plain,
    ! [SV72: $i,SV109: $i,SV26: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV26 @ alive )
                | ( ( index @ ldr @ ( host @ SV26 ) )
                 != ( host @ SV26 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV26 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Ack @ SV109 @ SV72 ) @ ( queue @ ( host @ SV109 ) ) )
        = $false )
      | ( ( setIn @ SV109 @ alive )
        = $false )
      | ( ( ( host @ SV72 )
          = ( host @ SV26 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[746]) ).

thf(762,plain,
    ! [SV73: $i,SV110: $i,SV27: $i] :
      ( ( ( ~ ( setIn @ SV27 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV110 @ alive ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV73 ) @ ( queue @ ( host @ SV27 ) ) ) )
        = $true )
      | ( ( ( host @ SV110 )
         != ( host @ SV73 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV110 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV110 ) ) @ ( host @ SV27 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[747]) ).

thf(763,plain,
    ! [SV76: $i,SV30: $i] :
      ( ( ( setIn @ SV30 @ alive )
        = $false )
      | ( ( ~ ( setIn @ ( host @ SV76 ) @ ( index @ down @ ( host @ SV30 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV76 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV76 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV76 ) )
          = ( host @ SV76 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[748]) ).

thf(764,plain,
    ! [SV32: $i,SV78: $i,SV112: $i] :
      ( ( ( ( index @ status @ ( host @ SV112 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV112 @ alive )
        = $false )
      | ( ( ( host @ SV78 )
          = ( host @ SV112 ) )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV112 ) )
         != ( host @ SV112 ) )
        = $true )
      | ( ( ~ ~ ( ~ ( setIn @ SV32 @ alive )
                | ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV32 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[749]) ).

thf(765,plain,
    ! [SV35: $i,SV81: $i] :
      ( ( ( ( index @ status @ ( host @ SV81 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV81 @ alive )
        = $false )
      | ( ( setIn @ SV35 @ alive )
        = $false )
      | ( ( setIn @ ( host @ SV81 ) @ ( index @ down @ ( host @ SV35 ) ) )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV81 ) ) @ ( host @ SV35 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[750]) ).

thf(766,plain,
    ( ( leq @ ( index @ pendack @ ( host @ sK7_SY397 ) ) @ ( host @ sK6_SX1 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[751]) ).

thf(767,plain,
    ! [SV91: $i,SV46: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV46 @ alive )
                | ( ( index @ ldr @ ( host @ SV46 ) )
                 != ( host @ SV46 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV46 ) )
         != norm )
        = $true )
      | ( ( setIn @ SV91 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV91 ) ) @ ( host @ SV46 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV91 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[753]) ).

thf(768,plain,
    ! [SV95: $i,SV50: $i] :
      ( ( ( ~ ( leq @ ( host @ SV50 ) @ ( host @ SV95 ) ) )
        = $false )
      | ( ( ~ ( setIn @ SV50 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV95 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV50 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV50 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[754]) ).

thf(769,plain,
    ! [SV97: $i,SV52: $i,SV117: $i] :
      ( ( ( ~ ~ ( leq @ ( host @ SV117 ) @ ( host @ SV52 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV52 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV117 @ alive ) )
        = $true )
      | ( ( ( host @ SV117 )
         != ( host @ SV97 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV117 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV97 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[755]) ).

thf(770,plain,
    ! [SV59: $i,SV12: $i] :
      ( ( ( leq @ ( host @ SV12 ) @ ( host @ SV59 ) )
        = $true )
      | ( ( ~ ( setIn @ SV12 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV59 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV12 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV59 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV12 ) ) @ ( index @ pendack @ ( host @ SV59 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[756]) ).

thf(771,plain,
    ! [SV65: $i,SV19: $i,SV105: $i] :
      ( ( ( ~ ( ~ ~ ( leq @ ( host @ SV105 ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
              | ~ ( leq @ ( s @ zero ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) ) ) )
        = $true )
      | ( ( ~ ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[757]) ).

thf(772,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( setIn @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) @ ( index @ down @ ( host @ SV105 ) ) )
        = $false )
      | ( ( ~ ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[758]) ).

thf(773,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ( sK8_SY395 @ SV19 @ SV65 @ SV105 )
          = ( host @ SV65 ) )
        = $false )
      | ( ( ~ ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[758]) ).

thf(774,plain,
    ! [SV68: $i,SV106: $i,SV22: $i] :
      ( ( ( setIn @ SV22 @ alive )
        = $false )
      | ( ( ~ ( setIn @ SV106 @ alive ) )
        = $true )
      | ( ( ( host @ SV106 )
         != ( host @ SV68 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV22 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV106 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV22 @ SV68 ) @ ( queue @ ( host @ SV22 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[759]) ).

thf(775,plain,
    ! [SV24: $i,SV70: $i,SV108: $i] :
      ( ( ( ( index @ status @ ( host @ SV108 ) )
          = elec_2 )
        = $false )
      | ( ( elem @ ( m_Down @ SV70 ) @ ( queue @ ( host @ SV108 ) ) )
        = $false )
      | ( ( setIn @ SV108 @ alive )
        = $false )
      | ( ( ( host @ SV70 )
          = ( host @ SV24 ) )
        = $false )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV24 @ alive )
                      | ( ( index @ ldr @ ( host @ SV24 ) )
                       != ( host @ SV24 ) ) )
                | ( ( index @ status @ ( host @ SV24 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[760]) ).

thf(776,plain,
    ! [SV72: $i,SV109: $i,SV26: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV26 @ alive )
              | ( ( index @ ldr @ ( host @ SV26 ) )
               != ( host @ SV26 ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV26 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Ack @ SV109 @ SV72 ) @ ( queue @ ( host @ SV109 ) ) )
        = $false )
      | ( ( setIn @ SV109 @ alive )
        = $false )
      | ( ( ( host @ SV72 )
          = ( host @ SV26 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[761]) ).

thf(777,plain,
    ! [SV73: $i,SV110: $i,SV27: $i] :
      ( ( ( setIn @ SV27 @ alive )
        = $false )
      | ( ( ~ ( setIn @ SV110 @ alive ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV73 ) @ ( queue @ ( host @ SV27 ) ) ) )
        = $true )
      | ( ( ( host @ SV110 )
         != ( host @ SV73 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV110 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV110 ) ) @ ( host @ SV27 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[762]) ).

thf(778,plain,
    ! [SV30: $i,SV76: $i] :
      ( ( ( setIn @ ( host @ SV76 ) @ ( index @ down @ ( host @ SV30 ) ) )
        = $false )
      | ( ( setIn @ SV30 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV76 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV76 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV76 ) )
          = ( host @ SV76 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[763]) ).

thf(779,plain,
    ! [SV32: $i,SV78: $i,SV112: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV112 ) )
          = ( host @ SV112 ) )
        = $false )
      | ( ( ( host @ SV78 )
          = ( host @ SV112 ) )
        = $false )
      | ( ( setIn @ SV112 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV112 ) )
          = norm )
        = $false )
      | ( ( ~ ~ ( ~ ( setIn @ SV32 @ alive )
                | ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV32 ) ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[764]) ).

thf(780,plain,
    ! [SV91: $i,SV46: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV46 @ alive )
              | ( ( index @ ldr @ ( host @ SV46 ) )
               != ( host @ SV46 ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV46 ) )
         != norm )
        = $true )
      | ( ( setIn @ SV91 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV91 ) ) @ ( host @ SV46 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV91 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[767]) ).

thf(781,plain,
    ! [SV95: $i,SV50: $i] :
      ( ( ( leq @ ( host @ SV50 ) @ ( host @ SV95 ) )
        = $true )
      | ( ( ~ ( setIn @ SV50 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV95 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV50 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV50 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[768]) ).

thf(782,plain,
    ! [SV97: $i,SV52: $i,SV117: $i] :
      ( ( ( ~ ( leq @ ( host @ SV117 ) @ ( host @ SV52 ) ) )
        = $false )
      | ( ( ~ ( setIn @ SV52 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV117 @ alive ) )
        = $true )
      | ( ( ( host @ SV117 )
         != ( host @ SV97 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV117 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV97 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[769]) ).

thf(783,plain,
    ! [SV59: $i,SV12: $i] :
      ( ( ( setIn @ SV12 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV12 ) @ ( host @ SV59 ) )
        = $true )
      | ( ( ~ ( setIn @ SV59 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV12 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV59 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV12 ) ) @ ( index @ pendack @ ( host @ SV59 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[770]) ).

thf(784,plain,
    ! [SV65: $i,SV19: $i,SV105: $i] :
      ( ( ( ~ ~ ( leq @ ( host @ SV105 ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
          | ~ ( leq @ ( s @ zero ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) ) )
        = $false )
      | ( ( ~ ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[771]) ).

thf(785,plain,
    ! [SV65: $i,SV19: $i,SV105: $i] :
      ( ( ( ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
        = $false )
      | ( ( setIn @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) @ ( index @ down @ ( host @ SV105 ) ) )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[772]) ).

thf(786,plain,
    ! [SV65: $i,SV19: $i,SV105: $i] :
      ( ( ( ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
        = $false )
      | ( ( ( sK8_SY395 @ SV19 @ SV65 @ SV105 )
          = ( host @ SV65 ) )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[773]) ).

thf(787,plain,
    ! [SV68: $i,SV22: $i,SV106: $i] :
      ( ( ( setIn @ SV106 @ alive )
        = $false )
      | ( ( setIn @ SV22 @ alive )
        = $false )
      | ( ( ( host @ SV106 )
         != ( host @ SV68 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV22 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV106 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV22 @ SV68 ) @ ( queue @ ( host @ SV22 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[774]) ).

thf(788,plain,
    ! [SV108: $i,SV70: $i,SV24: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( setIn @ SV24 @ alive )
                    | ( ( index @ ldr @ ( host @ SV24 ) )
                     != ( host @ SV24 ) ) )
              | ( ( index @ status @ ( host @ SV24 ) )
               != norm ) ) )
        = $false )
      | ( ( ( host @ SV70 )
          = ( host @ SV24 ) )
        = $false )
      | ( ( setIn @ SV108 @ alive )
        = $false )
      | ( ( elem @ ( m_Down @ SV70 ) @ ( queue @ ( host @ SV108 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV108 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[775]) ).

thf(789,plain,
    ! [SV72: $i,SV109: $i,SV26: $i] :
      ( ( ( ~ ( setIn @ SV26 @ alive )
          | ( ( index @ ldr @ ( host @ SV26 ) )
           != ( host @ SV26 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV26 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Ack @ SV109 @ SV72 ) @ ( queue @ ( host @ SV109 ) ) )
        = $false )
      | ( ( setIn @ SV109 @ alive )
        = $false )
      | ( ( ( host @ SV72 )
          = ( host @ SV26 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[776]) ).

thf(790,plain,
    ! [SV73: $i,SV27: $i,SV110: $i] :
      ( ( ( setIn @ SV110 @ alive )
        = $false )
      | ( ( setIn @ SV27 @ alive )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV73 ) @ ( queue @ ( host @ SV27 ) ) ) )
        = $true )
      | ( ( ( host @ SV110 )
         != ( host @ SV73 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV110 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV110 ) ) @ ( host @ SV27 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[777]) ).

thf(791,plain,
    ! [SV112: $i,SV78: $i,SV32: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV32 @ alive )
              | ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV32 ) ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV112 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV112 @ alive )
        = $false )
      | ( ( ( host @ SV78 )
          = ( host @ SV112 ) )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV112 ) )
          = ( host @ SV112 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[779]) ).

thf(792,plain,
    ! [SV91: $i,SV46: $i] :
      ( ( ( ~ ( setIn @ SV46 @ alive )
          | ( ( index @ ldr @ ( host @ SV46 ) )
           != ( host @ SV46 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV46 ) )
         != norm )
        = $true )
      | ( ( setIn @ SV91 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV91 ) ) @ ( host @ SV46 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV91 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[780]) ).

thf(793,plain,
    ! [SV95: $i,SV50: $i] :
      ( ( ( setIn @ SV50 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV50 ) @ ( host @ SV95 ) )
        = $true )
      | ( ( ~ ( setIn @ SV95 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV50 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV50 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[781]) ).

thf(794,plain,
    ! [SV97: $i,SV52: $i,SV117: $i] :
      ( ( ( leq @ ( host @ SV117 ) @ ( host @ SV52 ) )
        = $true )
      | ( ( ~ ( setIn @ SV52 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV117 @ alive ) )
        = $true )
      | ( ( ( host @ SV117 )
         != ( host @ SV97 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV117 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV97 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[782]) ).

thf(795,plain,
    ! [SV12: $i,SV59: $i] :
      ( ( ( setIn @ SV59 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV12 ) @ ( host @ SV59 ) )
        = $true )
      | ( ( setIn @ SV12 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV12 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV59 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV12 ) ) @ ( index @ pendack @ ( host @ SV59 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[783]) ).

thf(796,plain,
    ! [SV65: $i,SV19: $i,SV105: $i] :
      ( ( ( ~ ~ ( leq @ ( host @ SV105 ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) ) )
        = $false )
      | ( ( ~ ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[784]) ).

thf(797,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ~ ( leq @ ( s @ zero ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) ) )
        = $false )
      | ( ( ~ ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[784]) ).

thf(798,plain,
    ! [SV65: $i,SV19: $i,SV105: $i] :
      ( ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( setIn @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) @ ( index @ down @ ( host @ SV105 ) ) )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[785]) ).

thf(799,plain,
    ! [SV65: $i,SV19: $i,SV105: $i] :
      ( ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( sK8_SY395 @ SV19 @ SV65 @ SV105 )
          = ( host @ SV65 ) )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[786]) ).

thf(800,plain,
    ! [SV22: $i,SV68: $i,SV106: $i] :
      ( ( ( ( host @ SV106 )
          = ( host @ SV68 ) )
        = $false )
      | ( ( setIn @ SV22 @ alive )
        = $false )
      | ( ( setIn @ SV106 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV22 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV106 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV22 @ SV68 ) @ ( queue @ ( host @ SV22 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[787]) ).

thf(801,plain,
    ! [SV108: $i,SV70: $i,SV24: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV24 @ alive )
                | ( ( index @ ldr @ ( host @ SV24 ) )
                 != ( host @ SV24 ) ) )
          | ( ( index @ status @ ( host @ SV24 ) )
           != norm ) )
        = $true )
      | ( ( ( host @ SV70 )
          = ( host @ SV24 ) )
        = $false )
      | ( ( setIn @ SV108 @ alive )
        = $false )
      | ( ( elem @ ( m_Down @ SV70 ) @ ( queue @ ( host @ SV108 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV108 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[788]) ).

thf(802,plain,
    ! [SV72: $i,SV109: $i,SV26: $i] :
      ( ( ( ~ ( setIn @ SV26 @ alive ) )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV26 ) )
         != ( host @ SV26 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV26 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Ack @ SV109 @ SV72 ) @ ( queue @ ( host @ SV109 ) ) )
        = $false )
      | ( ( setIn @ SV109 @ alive )
        = $false )
      | ( ( ( host @ SV72 )
          = ( host @ SV26 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[789]) ).

thf(803,plain,
    ! [SV110: $i,SV27: $i,SV73: $i] :
      ( ( ( elem @ ( m_Down @ SV73 ) @ ( queue @ ( host @ SV27 ) ) )
        = $false )
      | ( ( setIn @ SV27 @ alive )
        = $false )
      | ( ( setIn @ SV110 @ alive )
        = $false )
      | ( ( ( host @ SV110 )
         != ( host @ SV73 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV110 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV110 ) ) @ ( host @ SV27 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[790]) ).

thf(804,plain,
    ! [SV112: $i,SV78: $i,SV32: $i] :
      ( ( ( ~ ( setIn @ SV32 @ alive )
          | ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV32 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV112 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV112 @ alive )
        = $false )
      | ( ( ( host @ SV78 )
          = ( host @ SV112 ) )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV112 ) )
          = ( host @ SV112 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[791]) ).

thf(805,plain,
    ! [SV91: $i,SV46: $i] :
      ( ( ( ~ ( setIn @ SV46 @ alive ) )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV46 ) )
         != ( host @ SV46 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV46 ) )
         != norm )
        = $true )
      | ( ( setIn @ SV91 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV91 ) ) @ ( host @ SV46 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV91 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[792]) ).

thf(806,plain,
    ! [SV50: $i,SV95: $i] :
      ( ( ( setIn @ SV95 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV50 ) @ ( host @ SV95 ) )
        = $true )
      | ( ( setIn @ SV50 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV50 ) )
         != elec_2 )
        = $true )
      | ( ( ( index @ status @ ( host @ SV95 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV50 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[793]) ).

thf(807,plain,
    ! [SV97: $i,SV117: $i,SV52: $i] :
      ( ( ( setIn @ SV52 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV117 ) @ ( host @ SV52 ) )
        = $true )
      | ( ( ~ ( setIn @ SV117 @ alive ) )
        = $true )
      | ( ( ( host @ SV117 )
         != ( host @ SV97 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV117 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV97 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[794]) ).

thf(808,plain,
    ! [SV59: $i,SV12: $i] :
      ( ( ( ( index @ status @ ( host @ SV12 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV12 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV12 ) @ ( host @ SV59 ) )
        = $true )
      | ( ( setIn @ SV59 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV59 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV12 ) ) @ ( index @ pendack @ ( host @ SV59 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[795]) ).

thf(809,plain,
    ! [SV65: $i,SV19: $i,SV105: $i] :
      ( ( ( ~ ( leq @ ( host @ SV105 ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) ) )
        = $true )
      | ( ( ~ ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[796]) ).

thf(810,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( leq @ ( s @ zero ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $true )
      | ( ( ~ ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[797]) ).

thf(811,plain,
    ! [SV19: $i,SV105: $i,SV65: $i] :
      ( ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( setIn @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) @ ( index @ down @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[798]) ).

thf(812,plain,
    ! [SV19: $i,SV105: $i,SV65: $i] :
      ( ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( ( sK8_SY395 @ SV19 @ SV65 @ SV105 )
          = ( host @ SV65 ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[799]) ).

thf(813,plain,
    ! [SV68: $i,SV106: $i,SV22: $i] :
      ( ( ( ( index @ status @ ( host @ SV22 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV106 @ alive )
        = $false )
      | ( ( setIn @ SV22 @ alive )
        = $false )
      | ( ( ( host @ SV106 )
          = ( host @ SV68 ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV106 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV22 @ SV68 ) @ ( queue @ ( host @ SV22 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[800]) ).

thf(814,plain,
    ! [SV108: $i,SV70: $i,SV24: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV24 @ alive )
                | ( ( index @ ldr @ ( host @ SV24 ) )
                 != ( host @ SV24 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV24 ) )
         != norm )
        = $true )
      | ( ( ( host @ SV70 )
          = ( host @ SV24 ) )
        = $false )
      | ( ( setIn @ SV108 @ alive )
        = $false )
      | ( ( elem @ ( m_Down @ SV70 ) @ ( queue @ ( host @ SV108 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV108 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[801]) ).

thf(815,plain,
    ! [SV72: $i,SV109: $i,SV26: $i] :
      ( ( ( setIn @ SV26 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV26 ) )
         != ( host @ SV26 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV26 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Ack @ SV109 @ SV72 ) @ ( queue @ ( host @ SV109 ) ) )
        = $false )
      | ( ( setIn @ SV109 @ alive )
        = $false )
      | ( ( ( host @ SV72 )
          = ( host @ SV26 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[802]) ).

thf(816,plain,
    ! [SV27: $i,SV73: $i,SV110: $i] :
      ( ( ( ( host @ SV110 )
          = ( host @ SV73 ) )
        = $false )
      | ( ( setIn @ SV110 @ alive )
        = $false )
      | ( ( setIn @ SV27 @ alive )
        = $false )
      | ( ( elem @ ( m_Down @ SV73 ) @ ( queue @ ( host @ SV27 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV110 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV110 ) ) @ ( host @ SV27 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[803]) ).

thf(817,plain,
    ! [SV112: $i,SV78: $i,SV32: $i] :
      ( ( ( ~ ( setIn @ SV32 @ alive ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV32 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV112 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV112 @ alive )
        = $false )
      | ( ( ( host @ SV78 )
          = ( host @ SV112 ) )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV112 ) )
          = ( host @ SV112 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[804]) ).

thf(818,plain,
    ! [SV91: $i,SV46: $i] :
      ( ( ( setIn @ SV46 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV46 ) )
         != ( host @ SV46 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV46 ) )
         != norm )
        = $true )
      | ( ( setIn @ SV91 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV91 ) ) @ ( host @ SV46 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV91 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[805]) ).

thf(819,plain,
    ! [SV95: $i,SV50: $i] :
      ( ( ( ( index @ status @ ( host @ SV50 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV50 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV50 ) @ ( host @ SV95 ) )
        = $true )
      | ( ( setIn @ SV95 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV95 ) )
         != elec_2 )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV50 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[806]) ).

thf(820,plain,
    ! [SV97: $i,SV52: $i,SV117: $i] :
      ( ( ( setIn @ SV117 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV117 ) @ ( host @ SV52 ) )
        = $true )
      | ( ( setIn @ SV52 @ alive )
        = $false )
      | ( ( ( host @ SV117 )
         != ( host @ SV97 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV117 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV97 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[807]) ).

thf(821,plain,
    ! [SV12: $i,SV59: $i] :
      ( ( ( ( index @ status @ ( host @ SV59 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV59 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV12 ) @ ( host @ SV59 ) )
        = $true )
      | ( ( setIn @ SV12 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV12 ) )
          = elec_2 )
        = $false )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV12 ) ) @ ( index @ pendack @ ( host @ SV59 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[808]) ).

thf(822,plain,
    ! [SV65: $i,SV19: $i,SV105: $i] :
      ( ( ( leq @ ( host @ SV105 ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $false )
      | ( ( ~ ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[809]) ).

thf(823,plain,
    ! [SV65: $i,SV19: $i,SV105: $i] :
      ( ( ( ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
        = $false )
      | ( ( leq @ ( s @ zero ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[810]) ).

thf(824,plain,
    ! [SV65: $i,SV19: $i,SV105: $i] :
      ( ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( setIn @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) @ ( index @ down @ ( host @ SV105 ) ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[811]) ).

thf(825,plain,
    ! [SV65: $i,SV19: $i,SV105: $i] :
      ( ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( sK8_SY395 @ SV19 @ SV65 @ SV105 )
          = ( host @ SV65 ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[812]) ).

thf(826,plain,
    ! [SV22: $i,SV68: $i,SV106: $i] :
      ( ( ( ( index @ status @ ( host @ SV106 ) )
          = elec_2 )
        = $false )
      | ( ( ( host @ SV106 )
          = ( host @ SV68 ) )
        = $false )
      | ( ( setIn @ SV22 @ alive )
        = $false )
      | ( ( setIn @ SV106 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV22 ) )
          = elec_2 )
        = $false )
      | ( ( ~ ( elem @ ( m_Ack @ SV22 @ SV68 ) @ ( queue @ ( host @ SV22 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[813]) ).

thf(827,plain,
    ! [SV108: $i,SV70: $i,SV24: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV24 @ alive )
              | ( ( index @ ldr @ ( host @ SV24 ) )
               != ( host @ SV24 ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV24 ) )
         != norm )
        = $true )
      | ( ( ( host @ SV70 )
          = ( host @ SV24 ) )
        = $false )
      | ( ( setIn @ SV108 @ alive )
        = $false )
      | ( ( elem @ ( m_Down @ SV70 ) @ ( queue @ ( host @ SV108 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV108 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[814]) ).

thf(828,plain,
    ! [SV72: $i,SV109: $i,SV26: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV26 ) )
          = ( host @ SV26 ) )
        = $false )
      | ( ( setIn @ SV26 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV26 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Ack @ SV109 @ SV72 ) @ ( queue @ ( host @ SV109 ) ) )
        = $false )
      | ( ( setIn @ SV109 @ alive )
        = $false )
      | ( ( ( host @ SV72 )
          = ( host @ SV26 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[815]) ).

thf(829,plain,
    ! [SV27: $i,SV73: $i,SV110: $i] :
      ( ( ( ( index @ status @ ( host @ SV110 ) )
          = elec_2 )
        = $false )
      | ( ( elem @ ( m_Down @ SV73 ) @ ( queue @ ( host @ SV27 ) ) )
        = $false )
      | ( ( setIn @ SV27 @ alive )
        = $false )
      | ( ( setIn @ SV110 @ alive )
        = $false )
      | ( ( ( host @ SV110 )
          = ( host @ SV73 ) )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV110 ) ) @ ( host @ SV27 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[816]) ).

thf(830,plain,
    ! [SV112: $i,SV78: $i,SV32: $i] :
      ( ( ( setIn @ SV32 @ alive )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV32 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV112 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV112 @ alive )
        = $false )
      | ( ( ( host @ SV78 )
          = ( host @ SV112 ) )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV112 ) )
          = ( host @ SV112 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[817]) ).

thf(831,plain,
    ! [SV91: $i,SV46: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV46 ) )
          = ( host @ SV46 ) )
        = $false )
      | ( ( setIn @ SV46 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV46 ) )
         != norm )
        = $true )
      | ( ( setIn @ SV91 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV91 ) ) @ ( host @ SV46 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV91 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[818]) ).

thf(832,plain,
    ! [SV50: $i,SV95: $i] :
      ( ( ( ( index @ status @ ( host @ SV95 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV95 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV50 ) @ ( host @ SV95 ) )
        = $true )
      | ( ( setIn @ SV50 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV50 ) )
          = elec_2 )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV95 ) ) @ ( host @ SV50 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[819]) ).

thf(833,plain,
    ! [SV52: $i,SV97: $i,SV117: $i] :
      ( ( ( ( host @ SV117 )
          = ( host @ SV97 ) )
        = $false )
      | ( ( setIn @ SV52 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV117 ) @ ( host @ SV52 ) )
        = $true )
      | ( ( setIn @ SV117 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV117 ) )
         != elec_2 )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV97 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[820]) ).

thf(834,plain,
    ! [SV59: $i,SV12: $i] :
      ( ( ( leq @ ( index @ pendack @ ( host @ SV12 ) ) @ ( index @ pendack @ ( host @ SV59 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV12 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV12 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV12 ) @ ( host @ SV59 ) )
        = $true )
      | ( ( setIn @ SV59 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV59 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[821]) ).

thf(835,plain,
    ! [SV65: $i,SV19: $i,SV105: $i] :
      ( ( ( ~ ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[822]) ).

thf(836,plain,
    ! [SV65: $i,SV19: $i,SV105: $i] :
      ( ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( leq @ ( s @ zero ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[823]) ).

thf(837,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                    | ( ( index @ ldr @ ( host @ SV19 ) )
                     != ( host @ SV19 ) ) )
              | ( ( index @ status @ ( host @ SV19 ) )
               != norm ) ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( setIn @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) @ ( index @ down @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[824]) ).

thf(838,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                    | ( ( index @ ldr @ ( host @ SV19 ) )
                     != ( host @ SV19 ) ) )
              | ( ( index @ status @ ( host @ SV19 ) )
               != norm ) ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( ( sK8_SY395 @ SV19 @ SV65 @ SV105 )
          = ( host @ SV65 ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[825]) ).

thf(839,plain,
    ! [SV106: $i,SV68: $i,SV22: $i] :
      ( ( ( elem @ ( m_Ack @ SV22 @ SV68 ) @ ( queue @ ( host @ SV22 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV22 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV106 @ alive )
        = $false )
      | ( ( setIn @ SV22 @ alive )
        = $false )
      | ( ( ( host @ SV106 )
          = ( host @ SV68 ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV106 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[826]) ).

thf(840,plain,
    ! [SV108: $i,SV70: $i,SV24: $i] :
      ( ( ( ~ ( setIn @ SV24 @ alive )
          | ( ( index @ ldr @ ( host @ SV24 ) )
           != ( host @ SV24 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV24 ) )
         != norm )
        = $true )
      | ( ( ( host @ SV70 )
          = ( host @ SV24 ) )
        = $false )
      | ( ( setIn @ SV108 @ alive )
        = $false )
      | ( ( elem @ ( m_Down @ SV70 ) @ ( queue @ ( host @ SV108 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV108 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[827]) ).

thf(841,plain,
    ! [SV72: $i,SV109: $i,SV26: $i] :
      ( ( ( ( index @ status @ ( host @ SV26 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV26 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV26 ) )
          = ( host @ SV26 ) )
        = $false )
      | ( ( elem @ ( m_Ack @ SV109 @ SV72 ) @ ( queue @ ( host @ SV109 ) ) )
        = $false )
      | ( ( setIn @ SV109 @ alive )
        = $false )
      | ( ( ( host @ SV72 )
          = ( host @ SV26 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[828]) ).

thf(842,plain,
    ! [SV112: $i,SV32: $i,SV78: $i] :
      ( ( ( elem @ ( m_Down @ SV78 ) @ ( queue @ ( host @ SV32 ) ) )
        = $false )
      | ( ( setIn @ SV32 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV112 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV112 @ alive )
        = $false )
      | ( ( ( host @ SV78 )
          = ( host @ SV112 ) )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV112 ) )
          = ( host @ SV112 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[830]) ).

thf(843,plain,
    ! [SV91: $i,SV46: $i] :
      ( ( ( ( index @ status @ ( host @ SV46 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV46 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV46 ) )
          = ( host @ SV46 ) )
        = $false )
      | ( ( setIn @ SV91 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV91 ) ) @ ( host @ SV46 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV91 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[831]) ).

thf(844,plain,
    ! [SV97: $i,SV52: $i,SV117: $i] :
      ( ( ( ( index @ status @ ( host @ SV117 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV117 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV117 ) @ ( host @ SV52 ) )
        = $true )
      | ( ( setIn @ SV52 @ alive )
        = $false )
      | ( ( ( host @ SV117 )
          = ( host @ SV97 ) )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV97 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[833]) ).

thf(845,plain,
    ! [SV65: $i,SV19: $i,SV105: $i] :
      ( ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( leq @ ( host @ SV105 ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[835]) ).

thf(846,plain,
    ! [SV19: $i,SV105: $i,SV65: $i] :
      ( ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( s @ zero ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $true )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[836]) ).

thf(847,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                | ( ( index @ ldr @ ( host @ SV19 ) )
                 != ( host @ SV19 ) ) )
          | ( ( index @ status @ ( host @ SV19 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( setIn @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) @ ( index @ down @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[837]) ).

thf(848,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                | ( ( index @ ldr @ ( host @ SV19 ) )
                 != ( host @ SV19 ) ) )
          | ( ( index @ status @ ( host @ SV19 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( ( sK8_SY395 @ SV19 @ SV65 @ SV105 )
          = ( host @ SV65 ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[838]) ).

thf(849,plain,
    ! [SV108: $i,SV70: $i,SV24: $i] :
      ( ( ( ~ ( setIn @ SV24 @ alive ) )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV24 ) )
         != ( host @ SV24 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV24 ) )
         != norm )
        = $true )
      | ( ( ( host @ SV70 )
          = ( host @ SV24 ) )
        = $false )
      | ( ( setIn @ SV108 @ alive )
        = $false )
      | ( ( elem @ ( m_Down @ SV70 ) @ ( queue @ ( host @ SV108 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV108 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[840]) ).

thf(850,plain,
    ! [SV117: $i,SV52: $i,SV97: $i] :
      ( ( ( elem @ ( m_Down @ SV97 ) @ ( queue @ ( host @ SV52 ) ) )
        = $false )
      | ( ( ( host @ SV117 )
          = ( host @ SV97 ) )
        = $false )
      | ( ( setIn @ SV52 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV117 ) @ ( host @ SV52 ) )
        = $true )
      | ( ( setIn @ SV117 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV117 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[844]) ).

thf(851,plain,
    ! [SV19: $i,SV105: $i,SV65: $i] :
      ( ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
         != elec_1 )
        = $true )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[845]) ).

thf(852,plain,
    ! [SV65: $i,SV19: $i,SV105: $i] :
      ( ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( leq @ ( s @ zero ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[846]) ).

thf(853,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                | ( ( index @ ldr @ ( host @ SV19 ) )
                 != ( host @ SV19 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV19 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( setIn @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) @ ( index @ down @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[847]) ).

thf(854,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                | ( ( index @ ldr @ ( host @ SV19 ) )
                 != ( host @ SV19 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV19 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( ( sK8_SY395 @ SV19 @ SV65 @ SV105 )
          = ( host @ SV65 ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[848]) ).

thf(855,plain,
    ! [SV108: $i,SV70: $i,SV24: $i] :
      ( ( ( setIn @ SV24 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV24 ) )
         != ( host @ SV24 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV24 ) )
         != norm )
        = $true )
      | ( ( ( host @ SV70 )
          = ( host @ SV24 ) )
        = $false )
      | ( ( setIn @ SV108 @ alive )
        = $false )
      | ( ( elem @ ( m_Down @ SV70 ) @ ( queue @ ( host @ SV108 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV108 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[849]) ).

thf(856,plain,
    ! [SV65: $i,SV19: $i,SV105: $i] :
      ( ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( leq @ ( host @ SV105 ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( ~ ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                      | ( ( index @ ldr @ ( host @ SV19 ) )
                       != ( host @ SV19 ) ) )
                | ( ( index @ status @ ( host @ SV19 ) )
                 != norm ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[851]) ).

thf(857,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                    | ( ( index @ ldr @ ( host @ SV19 ) )
                     != ( host @ SV19 ) ) )
              | ( ( index @ status @ ( host @ SV19 ) )
               != norm ) ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( s @ zero ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $true )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[852]) ).

thf(858,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV19 @ alive )
              | ( ( index @ ldr @ ( host @ SV19 ) )
               != ( host @ SV19 ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV19 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( setIn @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) @ ( index @ down @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[853]) ).

thf(859,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV19 @ alive )
              | ( ( index @ ldr @ ( host @ SV19 ) )
               != ( host @ SV19 ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV19 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( ( sK8_SY395 @ SV19 @ SV65 @ SV105 )
          = ( host @ SV65 ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[854]) ).

thf(860,plain,
    ! [SV108: $i,SV70: $i,SV24: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV24 ) )
          = ( host @ SV24 ) )
        = $false )
      | ( ( setIn @ SV24 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV24 ) )
         != norm )
        = $true )
      | ( ( ( host @ SV70 )
          = ( host @ SV24 ) )
        = $false )
      | ( ( setIn @ SV108 @ alive )
        = $false )
      | ( ( elem @ ( m_Down @ SV70 ) @ ( queue @ ( host @ SV108 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV108 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[855]) ).

thf(861,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                    | ( ( index @ ldr @ ( host @ SV19 ) )
                     != ( host @ SV19 ) ) )
              | ( ( index @ status @ ( host @ SV19 ) )
               != norm ) ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[856]) ).

thf(862,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                | ( ( index @ ldr @ ( host @ SV19 ) )
                 != ( host @ SV19 ) ) )
          | ( ( index @ status @ ( host @ SV19 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( s @ zero ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $true )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[857]) ).

thf(863,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ~ ( setIn @ SV19 @ alive )
          | ( ( index @ ldr @ ( host @ SV19 ) )
           != ( host @ SV19 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV19 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( setIn @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) @ ( index @ down @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[858]) ).

thf(864,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ~ ( setIn @ SV19 @ alive )
          | ( ( index @ ldr @ ( host @ SV19 ) )
           != ( host @ SV19 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV19 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( ( sK8_SY395 @ SV19 @ SV65 @ SV105 )
          = ( host @ SV65 ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[859]) ).

thf(865,plain,
    ! [SV108: $i,SV70: $i,SV24: $i] :
      ( ( ( ( index @ status @ ( host @ SV24 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV24 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV24 ) )
          = ( host @ SV24 ) )
        = $false )
      | ( ( ( host @ SV70 )
          = ( host @ SV24 ) )
        = $false )
      | ( ( setIn @ SV108 @ alive )
        = $false )
      | ( ( elem @ ( m_Down @ SV70 ) @ ( queue @ ( host @ SV108 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV108 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[860]) ).

thf(866,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                | ( ( index @ ldr @ ( host @ SV19 ) )
                 != ( host @ SV19 ) ) )
          | ( ( index @ status @ ( host @ SV19 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[861]) ).

thf(867,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                | ( ( index @ ldr @ ( host @ SV19 ) )
                 != ( host @ SV19 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV19 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( s @ zero ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $true )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[862]) ).

thf(868,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ~ ( setIn @ SV19 @ alive ) )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV19 ) )
         != ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV19 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( setIn @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) @ ( index @ down @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[863]) ).

thf(869,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ~ ( setIn @ SV19 @ alive ) )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV19 ) )
         != ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV19 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( ( sK8_SY395 @ SV19 @ SV65 @ SV105 )
          = ( host @ SV65 ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[864]) ).

thf(870,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ~ ~ ( ~ ( setIn @ SV19 @ alive )
                | ( ( index @ ldr @ ( host @ SV19 ) )
                 != ( host @ SV19 ) ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV19 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[866]) ).

thf(871,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV19 @ alive )
              | ( ( index @ ldr @ ( host @ SV19 ) )
               != ( host @ SV19 ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV19 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( s @ zero ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $true )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[867]) ).

thf(872,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( setIn @ SV19 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV19 ) )
         != ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV19 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( setIn @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) @ ( index @ down @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[868]) ).

thf(873,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( setIn @ SV19 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV19 ) )
         != ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV19 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( ( sK8_SY395 @ SV19 @ SV65 @ SV105 )
          = ( host @ SV65 ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[869]) ).

thf(874,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ~ ( ~ ( setIn @ SV19 @ alive )
              | ( ( index @ ldr @ ( host @ SV19 ) )
               != ( host @ SV19 ) ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV19 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[870]) ).

thf(875,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ~ ( setIn @ SV19 @ alive )
          | ( ( index @ ldr @ ( host @ SV19 ) )
           != ( host @ SV19 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV19 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( s @ zero ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $true )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[871]) ).

thf(876,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV19 ) )
          = ( host @ SV19 ) )
        = $false )
      | ( ( setIn @ SV19 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV19 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( setIn @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) @ ( index @ down @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[872]) ).

thf(877,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV19 ) )
          = ( host @ SV19 ) )
        = $false )
      | ( ( setIn @ SV19 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV19 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( ( sK8_SY395 @ SV19 @ SV65 @ SV105 )
          = ( host @ SV65 ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[873]) ).

thf(878,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ~ ( setIn @ SV19 @ alive )
          | ( ( index @ ldr @ ( host @ SV19 ) )
           != ( host @ SV19 ) ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV19 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[874]) ).

thf(879,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ~ ( setIn @ SV19 @ alive ) )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV19 ) )
         != ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV19 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( s @ zero ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $true )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[875]) ).

thf(880,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ( index @ status @ ( host @ SV19 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV19 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV19 ) )
          = ( host @ SV19 ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( setIn @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) @ ( index @ down @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[876]) ).

thf(881,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ( index @ status @ ( host @ SV19 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV19 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV19 ) )
          = ( host @ SV19 ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( ( sK8_SY395 @ SV19 @ SV65 @ SV105 )
          = ( host @ SV65 ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[877]) ).

thf(882,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ~ ( setIn @ SV19 @ alive ) )
        = $true )
      | ( ( ( index @ ldr @ ( host @ SV19 ) )
         != ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV19 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[878]) ).

thf(883,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( setIn @ SV19 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV19 ) )
         != ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV19 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( s @ zero ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $true )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[879]) ).

thf(884,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( setIn @ SV19 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV19 ) )
         != ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV19 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[882]) ).

thf(885,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV19 ) )
          = ( host @ SV19 ) )
        = $false )
      | ( ( setIn @ SV19 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV19 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( s @ zero ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $true )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[883]) ).

thf(886,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV19 ) )
          = ( host @ SV19 ) )
        = $false )
      | ( ( setIn @ SV19 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV19 ) )
         != norm )
        = $true )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[884]) ).

thf(887,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ( index @ status @ ( host @ SV19 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV19 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV19 ) )
          = ( host @ SV19 ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( s @ zero ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $true )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[885]) ).

thf(888,plain,
    ! [SV105: $i,SV65: $i,SV19: $i] :
      ( ( ( ( index @ status @ ( host @ SV19 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV19 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV19 ) )
          = ( host @ SV19 ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV65 ) @ ( queue @ ( host @ SV105 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( sK8_SY395 @ SV19 @ SV65 @ SV105 ) )
        = $false )
      | ( ( leq @ ( host @ SV105 ) @ ( host @ SV19 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV105 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[886]) ).

thf(889,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[147,888,887,881,880,865,850,843,842,841,839,834,832,829,778,766,765,752,711,710,709,700,690,674,673,661,660,654,649,648,647,645,643,640,639,634,633,632,631,624,623,622,621,620,616,598,589,588,582,581,549,548,540,539,515,506,498,468,457,439,435,434,426,416,408,407,404,400,391,384,382,381,334,332,331,329,328,325,315,304,285,284,278,276,273,271,266,265,264,195,194,190,189]) ).

thf(890,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[889]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SWV468+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.00/0.10  % Computer : n012.cluster.edu
% 0.00/0.10  % Model    : x86_64 x86_64
% 0.00/0.10  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10  % Memory   : 8046.5625MB
% 0.00/0.10  % OS       : Linux 6.8.0-71-generic
% 0.00/0.10  % CPULimit : 300
% 0.00/0.10  % WCLimit  : 300
% 0.00/0.10  % DateTime : Tue Oct  6 16:30:46 UTC 2026
% 0.00/0.10  % CPUTime  : 
% 0.00/0.10  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 126.35/21.29  
% 126.35/21.29   No.of.Axioms: 45
% 126.35/21.29  
% 126.35/21.29   Length.of.Defs: 0
% 126.35/21.29  
% 126.35/21.29   Contains.Choice.Funs: false
% 126.35/21.29  ...................................
% 126.35/21.29  
% 126.35/21.29  ********************************
% 126.35/21.29  *   All subproblems solved!    *
% 126.35/21.29  ********************************
% 126.35/21.29  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:68,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:889,loop_count:0,foatp_calls:1,translation:fof_full)
% 126.35/21.29  
% 126.35/21.29  %**** Beginning of derivation protocol ****
% 126.35/21.29  % SZS output start CNFRefutation
% See solution above
% 126.35/21.29  
% 126.35/21.29  %**** End of derivation protocol ****
% 126.35/21.29  %**** no. of clauses in derivation: 869 ****
% 126.35/21.29  %**** clause counter: 889 ****
% 126.35/21.29  
% 126.35/21.29  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:68,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:889,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------