TSTP Solution File: SWV469+1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SWV469+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Wed Jul 20 20:12:54 EDT 2022

% Result   : Theorem 18.64s 18.84s
% Output   : CNFRefutation 19.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :  116
% Syntax   : Number of formulae    : 1133 ( 667 unt;  49 typ;   0 def)
%            Number of atoms       : 8603 (3976 equ;   0 cnn)
%            Maximal formula atoms :  108 (   7 avg)
%            Number of connectives : 19316 (2981   ~;2470   |; 696   &;12908   @)
%                                         (  26 <=>; 235  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   34 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   38 (  38   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   52 (  49 usr;  24 con; 0-3 aty)
%            Number of variables   : 2766 (   0   ^2764   !;   2   ?;2766   :)

% 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_sK10_Y,type,
    sK10_Y: $i > $i ).

thf(tp_sK11_Y,type,
    sK11_Y: $i > $i ).

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

thf(tp_sK2_SY165,type,
    sK2_SY165: $i ).

thf(tp_sK3_SY166,type,
    sK3_SY166: $i ).

thf(tp_sK4_SY254,type,
    sK4_SY254: $i ).

thf(tp_sK5_SY295,type,
    sK5_SY295: $i ).

thf(tp_sK6_SY339,type,
    sK6_SY339: $i ).

thf(tp_sK7_V0,type,
    sK7_V0: $i > $i > $i > $i ).

thf(tp_sK8_Y,type,
    sK8_Y: $i > $i > $i ).

thf(tp_sK9_Y,type,
    sK9_Y: $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(9,axiom,
    ! [Q: $i,X: $i,Y: $i] :
      ( ( ( ordered @ ( cons @ ( m_Halt @ X ) @ Q ) )
        & ( ( host @ X )
          = ( host @ Y ) )
        & ( elem @ ( m_Down @ Y ) @ Q ) )
     => ( leq @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).

thf(10,axiom,
    ! [Q: $i,X: $i] :
      ( ( ordered @ Q )
     => ( ordered @ ( snoc @ Q @ ( m_Ldr @ X ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_56) ).

thf(11,axiom,
    ! [Q: $i,X: $i,Y: $i] :
      ( ( ordered @ Q )
     => ( ordered @ ( snoc @ Q @ ( m_Ack @ X @ Y ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_55) ).

thf(12,axiom,
    ! [X: $i,Q: $i] :
      ( ( ordered @ ( snoc @ Q @ X ) )
    <=> ( ( ordered @ Q )
        & ! [Y: $i] :
            ( ( ( elem @ Y @ Q )
              & ( pidElem @ X )
              & ( pidElem @ Y )
              & ( ( host @ ( pidMsg @ Y ) )
                = ( host @ ( pidMsg @ X ) ) ) )
           => ( leq @ ( pidMsg @ Y ) @ ( pidMsg @ X ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_54) ).

thf(13,axiom,
    ! [X: $i,Q: $i] :
      ( ( ordered @ ( cons @ X @ Q ) )
    <=> ( ( ordered @ Q )
        & ! [Y: $i] :
            ( ( ( elem @ Y @ Q )
              & ( pidElem @ X )
              & ( pidElem @ Y )
              & ( ( host @ ( pidMsg @ Y ) )
                = ( host @ ( pidMsg @ X ) ) ) )
           => ( leq @ ( pidMsg @ X ) @ ( pidMsg @ Y ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_53) ).

thf(14,axiom,
    ! [X: $i] :
      ( ( ordered @ ( cons @ X @ q_nil ) )
      & ( ordered @ ( snoc @ q_nil @ X ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_52) ).

thf(15,axiom,
    ordered @ q_nil,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).

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

thf(17,axiom,
    ! [X: $i] :
      ( ( pidMsg @ ( m_Halt @ X ) )
      = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_49) ).

thf(18,axiom,
    ! [X: $i] :
      ( ( pidElem @ X )
    <=> ? [Y: $i] :
          ( ( X
            = ( m_Halt @ Y ) )
          | ( X
            = ( m_Down @ Y ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_48) ).

thf(19,axiom,
    ! [X: $i,Y: $i,Q: $i] :
      ( ( elem @ X @ ( snoc @ Q @ Y ) )
    <=> ( ( X = Y )
        | ( elem @ X @ Q ) ) ),
    file('/export/starexec/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(23,axiom,
    ! [X: $i] :
      ( ( cons @ X @ q_nil )
      = ( snoc @ q_nil @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_43) ).

thf(24,axiom,
    ! [Y: $i,Q: $i] :
      ( q_nil
     != ( snoc @ Q @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_42) ).

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

thf(26,axiom,
    ! [Q: $i] :
      ( ( Q = q_nil )
      | ( Q
        = ( snoc @ ( init @ Q ) @ ( last @ Q ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_40) ).

thf(27,axiom,
    ! [Q: $i] :
      ( ( Q = q_nil )
      | ( Q
        = ( cons @ ( head @ Q ) @ ( tail @ Q ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_39) ).

thf(28,axiom,
    ! [Y: $i,Q: $i] :
      ( ( init @ ( snoc @ Q @ Y ) )
      = Q ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_38) ).

thf(29,axiom,
    ! [Y: $i,Q: $i] :
      ( ( last @ ( snoc @ Q @ Y ) )
      = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).

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(38,axiom,
    ! [X: $i,Y: $i] :
      ( ( X != Y )
    <=> ( ( m_NotNorm @ X )
       != ( m_NotNorm @ Y ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).

thf(39,axiom,
    ! [X: $i,Y: $i] :
      ( ( X != Y )
    <=> ( ( m_NormQ @ X )
       != ( m_NormQ @ Y ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).

thf(40,axiom,
    ! [X: $i,Y: $i] :
      ( ( X != Y )
    <=> ( ( m_Halt @ X )
       != ( m_Halt @ Y ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).

thf(41,axiom,
    ! [X: $i,Y: $i] :
      ( ( m_NormQ @ X )
     != ( m_NotNorm @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).

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(45,axiom,
    ! [X: $i,Y: $i] :
      ( ( m_NormQ @ X )
     != ( m_Halt @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).

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(50,axiom,
    ! [X: $i,Y: $i] :
      ( ( m_NotNorm @ X )
     != ( m_Halt @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).

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] :
                    ( ( ( host @ X )
                     != ( host @ Z ) )
                   => ! [W0: $i] :
                        ( ( ( host @ X )
                          = ( host @ W0 ) )
                       => ( ( ~ ( leq @ ( s @ ( host @ X ) ) @ ( host @ Z ) )
                            & ( setIn @ W0 @ alive ) )
                         => ~ ( ( setIn @ Z @ alive )
                              & ( ( index @ ldr @ ( host @ Z ) )
                                = ( host @ Z ) )
                              & ( ( index @ status @ ( host @ Z ) )
                                = norm ) ) ) ) ) ) ) ) ) ) ),
    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] :
                        ( ( ( host @ X )
                         != ( host @ Z ) )
                       => ! [W0: $i] :
                            ( ( ( host @ X )
                              = ( host @ W0 ) )
                           => ( ( ~ ( leq @ ( s @ ( host @ X ) ) @ ( host @ Z ) )
                                & ( setIn @ W0 @ alive ) )
                             => ~ ( ( setIn @ Z @ alive )
                                  & ( ( index @ ldr @ ( host @ Z ) )
                                    = ( host @ Z ) )
                                  & ( ( index @ status @ ( host @ Z ) )
                                    = norm ) ) ) ) ) ) ) ) ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[67]) ).

thf(69,plain,
    ( ( ! [V: $i,W: $i,X: $i,Y: $i] :
          ( ( ! [Z: $i,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] :
                        ( ( ( host @ X )
                         != ( host @ Z ) )
                       => ! [W0: $i] :
                            ( ( ( host @ X )
                              = ( host @ W0 ) )
                           => ( ( ~ ( leq @ ( s @ ( host @ X ) ) @ ( host @ Z ) )
                                & ( setIn @ W0 @ alive ) )
                             => ~ ( ( setIn @ Z @ alive )
                                  & ( ( index @ ldr @ ( host @ Z ) )
                                    = ( host @ Z ) )
                                  & ( ( index @ status @ ( host @ Z ) )
                                    = norm ) ) ) ) ) ) ) ) ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[68]) ).

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

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

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

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

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

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

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

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

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

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

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

thf(81,plain,
    ( ( ! [X: $i,Q: $i] :
          ( ( ordered @ ( snoc @ Q @ X ) )
        <=> ( ( ordered @ Q )
            & ! [Y: $i] :
                ( ( ( elem @ Y @ Q )
                  & ( pidElem @ X )
                  & ( pidElem @ Y )
                  & ( ( host @ ( pidMsg @ Y ) )
                    = ( host @ ( pidMsg @ X ) ) ) )
               => ( leq @ ( pidMsg @ Y ) @ ( pidMsg @ X ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(82,plain,
    ( ( ! [X: $i,Q: $i] :
          ( ( ordered @ ( cons @ X @ Q ) )
        <=> ( ( ordered @ Q )
            & ! [Y: $i] :
                ( ( ( elem @ Y @ Q )
                  & ( pidElem @ X )
                  & ( pidElem @ Y )
                  & ( ( host @ ( pidMsg @ Y ) )
                    = ( host @ ( pidMsg @ X ) ) ) )
               => ( leq @ ( pidMsg @ X ) @ ( pidMsg @ Y ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(83,plain,
    ( ( ! [X: $i] :
          ( ( ordered @ ( cons @ X @ q_nil ) )
          & ( ordered @ ( snoc @ q_nil @ X ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(84,plain,
    ( ( ordered @ q_nil )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(85,plain,
    ( ( ! [X: $i] :
          ( ( pidMsg @ ( m_Down @ X ) )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(86,plain,
    ( ( ! [X: $i] :
          ( ( pidMsg @ ( m_Halt @ X ) )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(87,plain,
    ( ( ! [X: $i] :
          ( ( pidElem @ X )
        <=> ? [Y: $i] :
              ( ( X
                = ( m_Halt @ Y ) )
              | ( X
                = ( m_Down @ Y ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(88,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(89,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(90,plain,
    ( ( ! [X: $i] :
          ~ ( elem @ X @ q_nil ) )
    = $true ),
    inference(unfold_def,[status(thm)],[21]) ).

thf(91,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(92,plain,
    ( ( ! [X: $i] :
          ( ( cons @ X @ q_nil )
          = ( snoc @ q_nil @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[23]) ).

thf(93,plain,
    ( ( ! [Y: $i,Q: $i] :
          ( q_nil
         != ( snoc @ Q @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[24]) ).

thf(94,plain,
    ( ( ! [X: $i,Q: $i] :
          ( q_nil
         != ( cons @ X @ Q ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(95,plain,
    ( ( ! [Q: $i] :
          ( ( Q = q_nil )
          | ( Q
            = ( snoc @ ( init @ Q ) @ ( last @ Q ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[26]) ).

thf(96,plain,
    ( ( ! [Q: $i] :
          ( ( Q = q_nil )
          | ( Q
            = ( cons @ ( head @ Q ) @ ( tail @ Q ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[27]) ).

thf(97,plain,
    ( ( ! [Y: $i,Q: $i] :
          ( ( init @ ( snoc @ Q @ Y ) )
          = Q ) )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(98,plain,
    ( ( ! [Y: $i,Q: $i] :
          ( ( last @ ( snoc @ Q @ Y ) )
          = Y ) )
    = $true ),
    inference(unfold_def,[status(thm)],[29]) ).

thf(99,plain,
    ( ( ! [X: $i,Q: $i] :
          ( ( tail @ ( cons @ X @ Q ) )
          = Q ) )
    = $true ),
    inference(unfold_def,[status(thm)],[30]) ).

thf(100,plain,
    ( ( ! [X: $i,Q: $i] :
          ( ( head @ ( cons @ X @ Q ) )
          = X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(101,plain,
    ( ( ~ ( setIn @ nil @ alive ) )
    = $true ),
    inference(unfold_def,[status(thm)],[32]) ).

thf(102,plain,
    ( ( ! [Pid: $i,Pid2: $i] :
          ( ( ( host @ Pid )
           != ( host @ Pid2 ) )
         => ( Pid != Pid2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[33]) ).

thf(103,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(104,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(105,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
        <=> ( ( m_Down @ X )
           != ( m_Down @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[36]) ).

thf(106,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
        <=> ( ( m_Ldr @ X )
           != ( m_Ldr @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[37]) ).

thf(107,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
        <=> ( ( m_NotNorm @ X )
           != ( m_NotNorm @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[38]) ).

thf(108,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
        <=> ( ( m_NormQ @ X )
           != ( m_NormQ @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[39]) ).

thf(109,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X != Y )
        <=> ( ( m_Halt @ X )
           != ( m_Halt @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[40]) ).

thf(110,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_NormQ @ X )
         != ( m_NotNorm @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[41]) ).

thf(111,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Ldr @ X )
         != ( m_NotNorm @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[42]) ).

thf(112,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Ldr @ X )
         != ( m_NormQ @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[43]) ).

thf(113,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Ldr @ X )
         != ( m_Halt @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[44]) ).

thf(114,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_NormQ @ X )
         != ( m_Halt @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[45]) ).

thf(115,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_NormQ @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[46]) ).

thf(116,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_NotNorm @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[47]) ).

thf(117,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_Ldr @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[48]) ).

thf(118,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_Halt @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[49]) ).

thf(119,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_NotNorm @ X )
         != ( m_Halt @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[50]) ).

thf(120,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_NormQ @ Z ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[51]) ).

thf(121,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_Ldr @ Z ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[52]) ).

thf(122,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_NotNorm @ Z ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[53]) ).

thf(123,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_Down @ Z ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[54]) ).

thf(124,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_Halt @ Z ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[55]) ).

thf(125,plain,
    ( ( ( norm != wait ) )
    = $true ),
    inference(unfold_def,[status(thm)],[56]) ).

thf(126,plain,
    ( ( ( elec_2 != norm ) )
    = $true ),
    inference(unfold_def,[status(thm)],[57]) ).

thf(127,plain,
    ( ( ( elec_2 != wait ) )
    = $true ),
    inference(unfold_def,[status(thm)],[58]) ).

thf(128,plain,
    ( ( ( elec_1 != norm ) )
    = $true ),
    inference(unfold_def,[status(thm)],[59]) ).

thf(129,plain,
    ( ( ( elec_1 != wait ) )
    = $true ),
    inference(unfold_def,[status(thm)],[60]) ).

thf(130,plain,
    ( ( ( elec_1 != elec_2 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[61]) ).

thf(131,plain,
    ( ( ! [P: $i] : ( leq @ ( host @ P ) @ nbr_proc ) )
    = $true ),
    inference(unfold_def,[status(thm)],[62]) ).

thf(132,plain,
    ( ( leq @ ( s @ zero ) @ nbr_proc )
    = $true ),
    inference(unfold_def,[status(thm)],[63]) ).

thf(133,plain,
    ( ( ! [P: $i] : ( leq @ ( s @ zero ) @ ( host @ P ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[64]) ).

thf(134,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( ( s @ ( host @ P ) )
            = ( host @ Q ) )
         => ( ( host @ P )
           != ( host @ Q ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[65]) ).

thf(135,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(136,plain,
    ( ( ! [SY165: $i,SY166: $i,SY167: $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 @ SY166 ) )
              = ( cons @ ( m_Down @ SY167 ) @ sK1_V ) ) )
         => ( ( setIn @ SY166 @ alive )
           => ( ~ ( leq @ ( host @ SY166 ) @ ( host @ SY167 ) )
             => ( ~ ( ( ( ( index @ ldr @ ( host @ SY166 ) )
                        = ( host @ SY167 ) )
                      & ( ( index @ status @ ( host @ SY166 ) )
                        = norm ) )
                    | ( ( ( index @ status @ ( host @ SY166 ) )
                        = wait )
                      & ( ( host @ SY167 )
                        = ( host @ ( index @ elid @ ( host @ SY166 ) ) ) ) ) )
               => ( ( ! [Z: $i] :
                        ( ( ~ ( leq @ ( host @ SY166 ) @ Z )
                          & ( leq @ ( s @ zero ) @ Z ) )
                       => ( ( setIn @ Z @ ( index @ down @ ( host @ SY166 ) ) )
                          | ( Z
                            = ( host @ SY167 ) ) ) )
                    & ( ( index @ status @ ( host @ SY166 ) )
                      = elec_1 ) )
                 => ( ~ ( leq @ nbr_proc @ ( host @ SY166 ) )
                   => ! [Z: $i] :
                        ( ( ( host @ SY166 )
                         != ( host @ Z ) )
                       => ! [W0: $i] :
                            ( ( ( host @ SY166 )
                              = ( host @ W0 ) )
                           => ( ( ~ ( leq @ ( s @ ( host @ SY166 ) ) @ ( host @ Z ) )
                                & ( setIn @ W0 @ alive ) )
                             => ~ ( ( setIn @ Z @ alive )
                                  & ( ( index @ ldr @ ( host @ Z ) )
                                    = ( host @ Z ) )
                                  & ( ( index @ status @ ( host @ Z ) )
                                    = norm ) ) ) ) ) ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[69]) ).

thf(137,plain,
    ( ( ! [SY166: $i,SY167: $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 @ SY166 ) )
              = ( cons @ ( m_Down @ SY167 ) @ sK1_V ) ) )
         => ( ( setIn @ SY166 @ alive )
           => ( ~ ( leq @ ( host @ SY166 ) @ ( host @ SY167 ) )
             => ( ~ ( ( ( ( index @ ldr @ ( host @ SY166 ) )
                        = ( host @ SY167 ) )
                      & ( ( index @ status @ ( host @ SY166 ) )
                        = norm ) )
                    | ( ( ( index @ status @ ( host @ SY166 ) )
                        = wait )
                      & ( ( host @ SY167 )
                        = ( host @ ( index @ elid @ ( host @ SY166 ) ) ) ) ) )
               => ( ( ! [Z: $i] :
                        ( ( ~ ( leq @ ( host @ SY166 ) @ Z )
                          & ( leq @ ( s @ zero ) @ Z ) )
                       => ( ( setIn @ Z @ ( index @ down @ ( host @ SY166 ) ) )
                          | ( Z
                            = ( host @ SY167 ) ) ) )
                    & ( ( index @ status @ ( host @ SY166 ) )
                      = elec_1 ) )
                 => ( ~ ( leq @ nbr_proc @ ( host @ SY166 ) )
                   => ! [Z: $i] :
                        ( ( ( host @ SY166 )
                         != ( host @ Z ) )
                       => ! [W0: $i] :
                            ( ( ( host @ SY166 )
                              = ( host @ W0 ) )
                           => ( ( ~ ( leq @ ( s @ ( host @ SY166 ) ) @ ( host @ Z ) )
                                & ( setIn @ W0 @ alive ) )
                             => ~ ( ( setIn @ Z @ alive )
                                  & ( ( index @ ldr @ ( host @ Z ) )
                                    = ( host @ Z ) )
                                  & ( ( index @ status @ ( host @ Z ) )
                                    = norm ) ) ) ) ) ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[136]) ).

thf(138,plain,
    ( ( ! [SY254: $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_SY166 ) )
              = ( cons @ ( m_Down @ SY254 ) @ sK1_V ) ) )
         => ( ( setIn @ sK3_SY166 @ alive )
           => ( ~ ( leq @ ( host @ sK3_SY166 ) @ ( host @ SY254 ) )
             => ( ~ ( ( ( ( index @ ldr @ ( host @ sK3_SY166 ) )
                        = ( host @ SY254 ) )
                      & ( ( index @ status @ ( host @ sK3_SY166 ) )
                        = norm ) )
                    | ( ( ( index @ status @ ( host @ sK3_SY166 ) )
                        = wait )
                      & ( ( host @ SY254 )
                        = ( host @ ( index @ elid @ ( host @ sK3_SY166 ) ) ) ) ) )
               => ( ( ! [SY294: $i] :
                        ( ( ~ ( leq @ ( host @ sK3_SY166 ) @ SY294 )
                          & ( leq @ ( s @ zero ) @ SY294 ) )
                       => ( ( setIn @ SY294 @ ( index @ down @ ( host @ sK3_SY166 ) ) )
                          | ( SY294
                            = ( host @ SY254 ) ) ) )
                    & ( ( index @ status @ ( host @ sK3_SY166 ) )
                      = elec_1 ) )
                 => ( ~ ( leq @ nbr_proc @ ( host @ sK3_SY166 ) )
                   => ! [SY295: $i] :
                        ( ( ( host @ sK3_SY166 )
                         != ( host @ SY295 ) )
                       => ! [SY296: $i] :
                            ( ( ( host @ sK3_SY166 )
                              = ( host @ SY296 ) )
                           => ( ( ~ ( leq @ ( s @ ( host @ sK3_SY166 ) ) @ ( host @ SY295 ) )
                                & ( setIn @ SY296 @ alive ) )
                             => ~ ( ( setIn @ SY295 @ alive )
                                  & ( ( index @ ldr @ ( host @ SY295 ) )
                                    = ( host @ SY295 ) )
                                  & ( ( index @ status @ ( host @ SY295 ) )
                                    = norm ) ) ) ) ) ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[137]) ).

thf(139,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_SY166 ) )
          = ( cons @ ( m_Down @ sK4_SY254 ) @ sK1_V ) ) )
     => ( ( setIn @ sK3_SY166 @ alive )
       => ( ~ ( leq @ ( host @ sK3_SY166 ) @ ( host @ sK4_SY254 ) )
         => ( ~ ( ( ( ( index @ ldr @ ( host @ sK3_SY166 ) )
                    = ( host @ sK4_SY254 ) )
                  & ( ( index @ status @ ( host @ sK3_SY166 ) )
                    = norm ) )
                | ( ( ( index @ status @ ( host @ sK3_SY166 ) )
                    = wait )
                  & ( ( host @ sK4_SY254 )
                    = ( host @ ( index @ elid @ ( host @ sK3_SY166 ) ) ) ) ) )
           => ( ( ! [SY336: $i] :
                    ( ( ~ ( leq @ ( host @ sK3_SY166 ) @ SY336 )
                      & ( leq @ ( s @ zero ) @ SY336 ) )
                   => ( ( setIn @ SY336 @ ( index @ down @ ( host @ sK3_SY166 ) ) )
                      | ( SY336
                        = ( host @ sK4_SY254 ) ) ) )
                & ( ( index @ status @ ( host @ sK3_SY166 ) )
                  = elec_1 ) )
             => ( ~ ( leq @ nbr_proc @ ( host @ sK3_SY166 ) )
               => ! [SY295: $i] :
                    ( ( ( host @ sK3_SY166 )
                     != ( host @ SY295 ) )
                   => ! [SY296: $i] :
                        ( ( ( host @ sK3_SY166 )
                          = ( host @ SY296 ) )
                       => ( ( ~ ( leq @ ( s @ ( host @ sK3_SY166 ) ) @ ( host @ SY295 ) )
                            & ( setIn @ SY296 @ alive ) )
                         => ~ ( ( setIn @ SY295 @ alive )
                              & ( ( index @ ldr @ ( host @ SY295 ) )
                                = ( host @ SY295 ) )
                              & ( ( index @ status @ ( host @ SY295 ) )
                                = norm ) ) ) ) ) ) ) ) ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[138]) ).

thf(140,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( elem @ ( m_Ldr @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
         => ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[139]) ).

thf(141,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( ( Pid0 != Z )
            & ( ( host @ Pid0 )
              = ( host @ Z ) ) )
         => ( ~ ( setIn @ Z @ alive )
            | ~ ( setIn @ Pid0 @ alive ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[139]) ).

thf(142,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)],[139]) ).

thf(143,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)],[139]) ).

thf(144,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)],[139]) ).

thf(145,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)],[139]) ).

thf(146,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)],[139]) ).

thf(147,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)],[139]) ).

thf(148,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)],[139]) ).

thf(149,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)],[139]) ).

thf(150,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)],[139]) ).

thf(151,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)],[139]) ).

thf(152,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)],[139]) ).

thf(153,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)],[139]) ).

thf(154,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)],[139]) ).

thf(155,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)],[139]) ).

thf(156,plain,
    ( ( ( queue @ ( host @ sK3_SY166 ) )
      = ( cons @ ( m_Down @ sK4_SY254 ) @ sK1_V ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[139]) ).

thf(157,plain,
    ( ( setIn @ sK3_SY166 @ alive )
    = $true ),
    inference(standard_cnf,[status(thm)],[139]) ).

thf(158,plain,
    ( ( ~ ( leq @ ( host @ sK3_SY166 ) @ ( host @ sK4_SY254 ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[139]) ).

thf(159,plain,
    ( ( ~ ( ( ( ( index @ ldr @ ( host @ sK3_SY166 ) )
              = ( host @ sK4_SY254 ) )
            & ( ( index @ status @ ( host @ sK3_SY166 ) )
              = norm ) )
          | ( ( ( index @ status @ ( host @ sK3_SY166 ) )
              = wait )
            & ( ( host @ sK4_SY254 )
              = ( host @ ( index @ elid @ ( host @ sK3_SY166 ) ) ) ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[139]) ).

thf(160,plain,
    ( ( ! [SY336: $i] :
          ( ( ~ ( leq @ ( host @ sK3_SY166 ) @ SY336 )
            & ( leq @ ( s @ zero ) @ SY336 ) )
         => ( ( setIn @ SY336 @ ( index @ down @ ( host @ sK3_SY166 ) ) )
            | ( SY336
              = ( host @ sK4_SY254 ) ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[139]) ).

thf(161,plain,
    ( ( ( index @ status @ ( host @ sK3_SY166 ) )
      = elec_1 )
    = $true ),
    inference(standard_cnf,[status(thm)],[139]) ).

thf(162,plain,
    ( ( ~ ( leq @ nbr_proc @ ( host @ sK3_SY166 ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[139]) ).

thf(163,plain,
    ( ( ! [SY295: $i] :
          ( ( ( host @ sK3_SY166 )
           != ( host @ SY295 ) )
         => ! [SY296: $i] :
              ( ( ( host @ sK3_SY166 )
                = ( host @ SY296 ) )
             => ( ( ~ ( leq @ ( s @ ( host @ sK3_SY166 ) ) @ ( host @ SY295 ) )
                  & ( setIn @ SY296 @ alive ) )
               => ~ ( ( setIn @ SY295 @ alive )
                    & ( ( index @ ldr @ ( host @ SY295 ) )
                      = ( host @ SY295 ) )
                    & ( ( index @ status @ ( host @ SY295 ) )
                      = norm ) ) ) ) ) )
    = $false ),
    inference(standard_cnf,[status(thm)],[139]) ).

thf(164,plain,
    ( ( ~ ! [SY295: $i] :
            ( ( ( host @ sK3_SY166 )
             != ( host @ SY295 ) )
           => ! [SY296: $i] :
                ( ( ( host @ sK3_SY166 )
                  = ( host @ SY296 ) )
               => ( ( ~ ( leq @ ( s @ ( host @ sK3_SY166 ) ) @ ( host @ SY295 ) )
                    & ( setIn @ SY296 @ alive ) )
                 => ~ ( ( setIn @ SY295 @ alive )
                      & ( ( index @ ldr @ ( host @ SY295 ) )
                        = ( host @ SY295 ) )
                      & ( ( index @ status @ ( host @ SY295 ) )
                        = norm ) ) ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[163]) ).

thf(165,plain,
    ( ( ( ( host @ sK3_SY166 )
       != ( host @ sK5_SY295 ) )
      & ( ( host @ sK3_SY166 )
        = ( host @ sK6_SY339 ) )
      & ~ ( leq @ ( s @ ( host @ sK3_SY166 ) ) @ ( host @ sK5_SY295 ) )
      & ( setIn @ sK6_SY339 @ alive )
      & ( ( index @ ldr @ ( host @ sK5_SY295 ) )
        = ( host @ sK5_SY295 ) )
      & ( setIn @ sK5_SY295 @ alive )
      & ( ( index @ status @ ( host @ sK5_SY295 ) )
        = norm ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[164]) ).

thf(166,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ~ ( elem @ ( m_Ldr @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
          | ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[140]) ).

thf(167,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( Pid0 = Z )
          | ( ( host @ Pid0 )
           != ( host @ Z ) )
          | ~ ( setIn @ Z @ alive )
          | ~ ( setIn @ Pid0 @ alive ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[141]) ).

thf(168,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( ( index @ status @ ( host @ Pid0 ) )
           != elec_2 )
          | ~ ( setIn @ Pid0 @ alive )
          | ~ ( elem @ ( m_Ack @ Z @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[142]) ).

thf(169,plain,
    ( ( ! [Z: $i] :
          ( ~ ( setIn @ Z @ alive )
          | ( ( index @ status @ ( host @ Z ) )
           != elec_1 )
          | ( ( index @ elid @ ( host @ Z ) )
            = Z ) )
      & ! [Z: $i] :
          ( ~ ( setIn @ Z @ alive )
          | ( ( index @ status @ ( host @ Z ) )
           != elec_2 )
          | ( ( index @ elid @ ( host @ Z ) )
            = Z ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[143]) ).

thf(170,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(extcnf_combined,[status(esa)],[144]) ).

thf(171,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( ( index @ status @ ( host @ Pid0 ) )
           != norm )
          | ~ ( setIn @ Pid0 @ alive )
          | ( ( index @ ldr @ ( host @ Pid0 ) )
           != ( host @ Pid0 ) )
          | ~ ( setIn @ Z @ alive )
          | ~ ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[145]) ).

thf(172,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(extcnf_combined,[status(esa)],[146]) ).

thf(173,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(extcnf_combined,[status(esa)],[147]) ).

thf(174,plain,
    ( ( ! [Z: $i] :
          ( ! [Pid20: $i] :
              ( ! [Pid0: $i] :
                  ( ~ ( elem @ ( m_Ack @ Pid0 @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                  | ~ ( setIn @ Pid0 @ alive ) )
              | ( ( host @ Pid20 )
               != ( host @ Z ) ) )
          | ( ( index @ ldr @ ( host @ Z ) )
           != ( host @ Z ) )
          | ~ ( setIn @ Z @ alive )
          | ( ( index @ status @ ( host @ Z ) )
           != norm ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[148]) ).

thf(175,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(extcnf_combined,[status(esa)],[149]) ).

thf(176,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(extcnf_combined,[status(esa)],[150]) ).

thf(177,plain,
    ( ( ! [Z: $i,Pid20: $i] :
          ( ! [Pid0: $i] :
              ( ( ( host @ Pid20 )
               != ( host @ Pid0 ) )
              | ~ ( setIn @ Pid0 @ alive )
              | ( ( index @ status @ ( host @ Pid0 ) )
               != norm )
              | ( ( index @ ldr @ ( host @ Pid0 ) )
               != ( host @ Pid0 ) ) )
          | ~ ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) )
          | ~ ( setIn @ Z @ alive ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[151]) ).

thf(178,plain,
    ( ( ! [Z: $i] :
          ( ! [Pid0: $i] :
              ( ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) )
              | ~ ( setIn @ Pid0 @ alive )
              | ( ( index @ status @ ( host @ Pid0 ) )
               != elec_2 ) )
          | ( ( index @ ldr @ ( host @ Z ) )
           != ( host @ Z ) )
          | ~ ( setIn @ Z @ alive )
          | ( ( index @ status @ ( host @ Z ) )
           != norm ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[152]) ).

thf(179,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(extcnf_combined,[status(esa)],[153]) ).

thf(180,plain,
    ( ( ! [Z: $i] :
          ( ! [Pid20: $i,Pid0: $i] :
              ( ~ ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
              | ~ ( setIn @ Pid0 @ alive )
              | ( ( host @ Pid20 )
               != ( host @ Z ) )
              | ( ( index @ status @ ( host @ Pid0 ) )
               != elec_2 ) )
          | ( ( index @ ldr @ ( host @ Z ) )
           != ( host @ Z ) )
          | ~ ( setIn @ Z @ alive )
          | ( ( index @ status @ ( host @ Z ) )
           != norm ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[154]) ).

thf(181,plain,
    ( ( ! [Z: $i] :
          ( ! [Pid20: $i,Pid0: $i] :
              ( ( ~ ( leq @ ( host @ Pid0 ) @ ( sK7_V0 @ Pid0 @ Pid20 @ Z ) )
                & ( leq @ ( s @ zero ) @ ( sK7_V0 @ Pid0 @ Pid20 @ Z ) )
                & ( ( sK7_V0 @ Pid0 @ Pid20 @ Z )
                 != ( host @ Pid20 ) )
                & ~ ( setIn @ ( sK7_V0 @ Pid0 @ Pid20 @ Z ) @ ( index @ down @ ( host @ Pid0 ) ) ) )
              | ( leq @ ( host @ Pid0 ) @ ( host @ Z ) )
              | ~ ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
              | ( ( index @ status @ ( host @ Pid0 ) )
               != elec_1 ) )
          | ( ( index @ ldr @ ( host @ Z ) )
           != ( host @ Z ) )
          | ~ ( setIn @ Z @ alive )
          | ( ( index @ status @ ( host @ Z ) )
           != norm ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[155]) ).

thf(182,plain,
    ( ( ( ( ( index @ ldr @ ( host @ sK3_SY166 ) )
         != ( host @ sK4_SY254 ) )
        | ( ( index @ status @ ( host @ sK3_SY166 ) )
         != norm ) )
      & ( ( ( index @ status @ ( host @ sK3_SY166 ) )
         != wait )
        | ( ( host @ sK4_SY254 )
         != ( host @ ( index @ elid @ ( host @ sK3_SY166 ) ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[159]) ).

thf(183,plain,
    ( ( ! [SY336: $i] :
          ( ( leq @ ( host @ sK3_SY166 ) @ SY336 )
          | ~ ( leq @ ( s @ zero ) @ SY336 )
          | ( SY336
            = ( host @ sK4_SY254 ) )
          | ( setIn @ SY336 @ ( index @ down @ ( host @ sK3_SY166 ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[160]) ).

thf(184,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( leq @ X @ ( s @ Y ) )
          | ( X
            = ( s @ Y ) )
          | ( leq @ X @ Y ) )
      & ! [X: $i,Y: $i] :
          ( ( X
           != ( s @ Y ) )
          | ( leq @ X @ ( s @ Y ) ) )
      & ! [X: $i,Y: $i] :
          ( ~ ( leq @ X @ Y )
          | ( leq @ X @ ( s @ Y ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[71]) ).

thf(185,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( leq @ X @ Y )
          | ( leq @ ( s @ X ) @ ( s @ Y ) ) )
      & ! [X: $i,Y: $i] :
          ( ~ ( leq @ ( s @ X ) @ ( s @ Y ) )
          | ( leq @ X @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[72]) ).

thf(186,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ~ ( leq @ X @ Y )
          | ~ ( leq @ Y @ Z )
          | ( leq @ X @ Z ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[73]) ).

thf(187,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( leq @ X @ Y )
          | ~ ( leq @ Y @ X )
          | ( X = Y ) )
      & ! [X: $i,Y: $i] :
          ( ( X != Y )
          | ( leq @ X @ Y ) )
      & ! [X: $i,Y: $i] :
          ( ( X != Y )
          | ( leq @ Y @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[74]) ).

thf(188,plain,
    ( ( ! [Q: $i,X: $i,Y: $i] :
          ( ( ( host @ X )
           != ( host @ Y ) )
          | ~ ( ordered @ ( cons @ ( m_Halt @ X ) @ Q ) )
          | ~ ( elem @ ( m_Down @ Y ) @ Q )
          | ( leq @ X @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[78]) ).

thf(189,plain,
    ( ( ! [Q: $i] :
          ( ~ ( ordered @ Q )
          | ! [X: $i] : ( ordered @ ( snoc @ Q @ ( m_Ldr @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[79]) ).

thf(190,plain,
    ( ( ! [Q: $i] :
          ( ~ ( ordered @ Q )
          | ! [X: $i,Y: $i] : ( ordered @ ( snoc @ Q @ ( m_Ack @ X @ Y ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[80]) ).

thf(191,plain,
    ( ( ! [X: $i,Q: $i] :
          ( ( ( elem @ ( sK8_Y @ Q @ X ) @ Q )
            & ( pidElem @ X )
            & ( pidElem @ ( sK8_Y @ Q @ X ) )
            & ( ( host @ ( pidMsg @ ( sK8_Y @ Q @ X ) ) )
              = ( host @ ( pidMsg @ X ) ) )
            & ~ ( leq @ ( pidMsg @ ( sK8_Y @ Q @ X ) ) @ ( pidMsg @ X ) ) )
          | ~ ( ordered @ Q )
          | ( ordered @ ( snoc @ Q @ X ) ) )
      & ! [X: $i,Q: $i] :
          ( ~ ( ordered @ ( snoc @ Q @ X ) )
          | ! [Y: $i] :
              ( ~ ( elem @ Y @ Q )
              | ~ ( pidElem @ X )
              | ~ ( pidElem @ Y )
              | ( ( host @ ( pidMsg @ Y ) )
               != ( host @ ( pidMsg @ X ) ) )
              | ( leq @ ( pidMsg @ Y ) @ ( pidMsg @ X ) ) ) )
      & ! [X: $i,Q: $i] :
          ( ~ ( ordered @ ( snoc @ Q @ X ) )
          | ( ordered @ Q ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[81]) ).

thf(192,plain,
    ( ( ! [X: $i,Q: $i] :
          ( ( ( elem @ ( sK9_Y @ Q @ X ) @ Q )
            & ( pidElem @ X )
            & ( pidElem @ ( sK9_Y @ Q @ X ) )
            & ( ( host @ ( pidMsg @ ( sK9_Y @ Q @ X ) ) )
              = ( host @ ( pidMsg @ X ) ) )
            & ~ ( leq @ ( pidMsg @ X ) @ ( pidMsg @ ( sK9_Y @ Q @ X ) ) ) )
          | ~ ( ordered @ Q )
          | ( ordered @ ( cons @ X @ Q ) ) )
      & ! [X: $i,Q: $i] :
          ( ~ ( ordered @ ( cons @ X @ Q ) )
          | ! [Y: $i] :
              ( ~ ( elem @ Y @ Q )
              | ~ ( pidElem @ X )
              | ~ ( pidElem @ Y )
              | ( ( host @ ( pidMsg @ Y ) )
               != ( host @ ( pidMsg @ X ) ) )
              | ( leq @ ( pidMsg @ X ) @ ( pidMsg @ Y ) ) ) )
      & ! [X: $i,Q: $i] :
          ( ~ ( ordered @ ( cons @ X @ Q ) )
          | ( ordered @ Q ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[82]) ).

thf(193,plain,
    ( ( ! [X: $i] : ( ordered @ ( cons @ X @ q_nil ) )
      & ! [X: $i] : ( ordered @ ( snoc @ q_nil @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[83]) ).

thf(194,plain,
    ( ( ! [X: $i] :
          ( ( ! [Y: $i] :
                ( X
               != ( m_Halt @ Y ) )
            & ! [Y: $i] :
                ( X
               != ( m_Down @ Y ) ) )
          | ( pidElem @ X ) )
      & ! [X: $i] :
          ( ~ ( pidElem @ X )
          | ( X
            = ( m_Halt @ ( sK11_Y @ X ) ) )
          | ( X
            = ( m_Down @ ( sK10_Y @ X ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[87]) ).

thf(195,plain,
    ( ( ! [X: $i] :
          ( ! [Y: $i,Q: $i] :
              ( ~ ( elem @ X @ ( snoc @ Q @ Y ) )
              | ( X = Y )
              | ( elem @ X @ Q ) )
          & ! [Y: $i] :
              ( ( X != Y )
              | ! [Q: $i] : ( elem @ X @ ( snoc @ Q @ Y ) ) )
          & ! [Y: $i,Q: $i] :
              ( ~ ( elem @ X @ Q )
              | ( elem @ X @ ( snoc @ Q @ Y ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[88]) ).

thf(196,plain,
    ( ( ! [X: $i] :
          ( ! [Y: $i,Q: $i] :
              ( ~ ( elem @ X @ ( cons @ Y @ Q ) )
              | ( X = Y )
              | ( elem @ X @ Q ) )
          & ! [Y: $i] :
              ( ( X != Y )
              | ! [Q: $i] : ( elem @ X @ ( cons @ Y @ Q ) ) )
          & ! [Y: $i,Q: $i] :
              ( ~ ( elem @ X @ Q )
              | ( elem @ X @ ( cons @ Y @ Q ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[89]) ).

thf(197,plain,
    ( ( ! [Y: $i,Q: $i] :
          ( q_nil
         != ( snoc @ Q @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[93]) ).

thf(198,plain,
    ( ( ! [X: $i,Q: $i] :
          ( q_nil
         != ( cons @ X @ Q ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[94]) ).

thf(199,plain,
    ( ( ! [Pid: $i,Pid2: $i] :
          ( ( ( host @ Pid )
            = ( host @ Pid2 ) )
          | ( Pid != Pid2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[102]) ).

thf(200,plain,
    ( ( ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
          ( ( Y1 = Y2 )
          | ( ( m_Ack @ X1 @ Y1 )
           != ( m_Ack @ X2 @ Y2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[103]) ).

thf(201,plain,
    ( ( ! [X1: $i,X2: $i] :
          ( ( X1 = X2 )
          | ! [Y1: $i,Y2: $i] :
              ( ( m_Ack @ X1 @ Y1 )
             != ( m_Ack @ X2 @ Y2 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[104]) ).

thf(202,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X = Y )
          | ( ( m_Down @ X )
           != ( m_Down @ Y ) ) )
      & ! [X: $i,Y: $i] :
          ( ( ( m_Down @ X )
            = ( m_Down @ Y ) )
          | ( X != Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[105]) ).

thf(203,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X = Y )
          | ( ( m_Ldr @ X )
           != ( m_Ldr @ Y ) ) )
      & ! [X: $i,Y: $i] :
          ( ( ( m_Ldr @ X )
            = ( m_Ldr @ Y ) )
          | ( X != Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[106]) ).

thf(204,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X = Y )
          | ( ( m_NotNorm @ X )
           != ( m_NotNorm @ Y ) ) )
      & ! [X: $i,Y: $i] :
          ( ( ( m_NotNorm @ X )
            = ( m_NotNorm @ Y ) )
          | ( X != Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[107]) ).

thf(205,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X = Y )
          | ( ( m_NormQ @ X )
           != ( m_NormQ @ Y ) ) )
      & ! [X: $i,Y: $i] :
          ( ( ( m_NormQ @ X )
            = ( m_NormQ @ Y ) )
          | ( X != Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[108]) ).

thf(206,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X = Y )
          | ( ( m_Halt @ X )
           != ( m_Halt @ Y ) ) )
      & ! [X: $i,Y: $i] :
          ( ( ( m_Halt @ X )
            = ( m_Halt @ Y ) )
          | ( X != Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[109]) ).

thf(207,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_NormQ @ X )
         != ( m_NotNorm @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[110]) ).

thf(208,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Ldr @ X )
         != ( m_NotNorm @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[111]) ).

thf(209,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Ldr @ X )
         != ( m_NormQ @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[112]) ).

thf(210,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Ldr @ X )
         != ( m_Halt @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[113]) ).

thf(211,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_NormQ @ X )
         != ( m_Halt @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[114]) ).

thf(212,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_NormQ @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[115]) ).

thf(213,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_NotNorm @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[116]) ).

thf(214,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_Ldr @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[117]) ).

thf(215,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_Halt @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[118]) ).

thf(216,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_NotNorm @ X )
         != ( m_Halt @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[119]) ).

thf(217,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_NormQ @ Z ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[120]) ).

thf(218,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_Ldr @ Z ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[121]) ).

thf(219,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_NotNorm @ Z ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[122]) ).

thf(220,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_Down @ Z ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[123]) ).

thf(221,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_Halt @ Z ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[124]) ).

thf(222,plain,
    ( ( ( norm != wait ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[125]) ).

thf(223,plain,
    ( ( ( elec_2 != norm ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[126]) ).

thf(224,plain,
    ( ( ( elec_2 != wait ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[127]) ).

thf(225,plain,
    ( ( ( elec_1 != norm ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[128]) ).

thf(226,plain,
    ( ( ( elec_1 != wait ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[129]) ).

thf(227,plain,
    ( ( ( elec_1 != elec_2 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[130]) ).

thf(228,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( ( s @ ( host @ P ) )
           != ( host @ Q ) )
          | ( ( host @ P )
           != ( host @ Q ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[134]) ).

thf(229,plain,
    ( ( ! [Pid: $i] :
          ( ! [Pid2: $i] :
              ~ ( elem @ ( m_Ack @ Pid @ Pid2 ) @ ( queue @ ( host @ Pid ) ) )
          | ( setIn @ Pid @ pids ) )
      & ! [Pid: $i,Pid2: $i] :
          ( ~ ( elem @ ( m_Ack @ Pid @ Pid2 ) @ ( queue @ ( host @ Pid ) ) )
          | ( setIn @ Pid2 @ pids ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[135]) ).

thf(230,plain,
    ( ( ! [Pid: $i] :
          ( ! [Pid2: $i] :
              ~ ( elem @ ( m_Ack @ Pid @ Pid2 ) @ ( queue @ ( host @ Pid ) ) )
          | ( setIn @ Pid @ pids ) )
      & ! [Pid: $i,Pid2: $i] :
          ( ~ ( elem @ ( m_Ack @ Pid @ Pid2 ) @ ( queue @ ( host @ Pid ) ) )
          | ( setIn @ Pid2 @ pids ) ) )
    = $true ),
    inference(copy,[status(thm)],[229]) ).

thf(231,plain,
    ( ( ! [P: $i,Q: $i] :
          ( ( ( s @ ( host @ P ) )
           != ( host @ Q ) )
          | ( ( host @ P )
           != ( host @ Q ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[228]) ).

thf(232,plain,
    ( ( ! [P: $i] : ( leq @ ( s @ zero ) @ ( host @ P ) ) )
    = $true ),
    inference(copy,[status(thm)],[133]) ).

thf(233,plain,
    ( ( leq @ ( s @ zero ) @ nbr_proc )
    = $true ),
    inference(copy,[status(thm)],[132]) ).

thf(234,plain,
    ( ( ! [P: $i] : ( leq @ ( host @ P ) @ nbr_proc ) )
    = $true ),
    inference(copy,[status(thm)],[131]) ).

thf(235,plain,
    ( ( ( elec_1 != elec_2 ) )
    = $true ),
    inference(copy,[status(thm)],[227]) ).

thf(236,plain,
    ( ( ( elec_1 != wait ) )
    = $true ),
    inference(copy,[status(thm)],[226]) ).

thf(237,plain,
    ( ( ( elec_1 != norm ) )
    = $true ),
    inference(copy,[status(thm)],[225]) ).

thf(238,plain,
    ( ( ( elec_2 != wait ) )
    = $true ),
    inference(copy,[status(thm)],[224]) ).

thf(239,plain,
    ( ( ( elec_2 != norm ) )
    = $true ),
    inference(copy,[status(thm)],[223]) ).

thf(240,plain,
    ( ( ( norm != wait ) )
    = $true ),
    inference(copy,[status(thm)],[222]) ).

thf(241,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_Halt @ Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[221]) ).

thf(242,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_Down @ Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[220]) ).

thf(243,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_NotNorm @ Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[219]) ).

thf(244,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_Ldr @ Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[218]) ).

thf(245,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( m_Ack @ X @ Y )
         != ( m_NormQ @ Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[217]) ).

thf(246,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_NotNorm @ X )
         != ( m_Halt @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[216]) ).

thf(247,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_Halt @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[215]) ).

thf(248,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_Ldr @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[214]) ).

thf(249,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_NotNorm @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[213]) ).

thf(250,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Down @ X )
         != ( m_NormQ @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[212]) ).

thf(251,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_NormQ @ X )
         != ( m_Halt @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[211]) ).

thf(252,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Ldr @ X )
         != ( m_Halt @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[210]) ).

thf(253,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Ldr @ X )
         != ( m_NormQ @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[209]) ).

thf(254,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_Ldr @ X )
         != ( m_NotNorm @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[208]) ).

thf(255,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( m_NormQ @ X )
         != ( m_NotNorm @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[207]) ).

thf(256,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X = Y )
          | ( ( m_Halt @ X )
           != ( m_Halt @ Y ) ) )
      & ! [X: $i,Y: $i] :
          ( ( ( m_Halt @ X )
            = ( m_Halt @ Y ) )
          | ( X != Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[206]) ).

thf(257,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X = Y )
          | ( ( m_NormQ @ X )
           != ( m_NormQ @ Y ) ) )
      & ! [X: $i,Y: $i] :
          ( ( ( m_NormQ @ X )
            = ( m_NormQ @ Y ) )
          | ( X != Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[205]) ).

thf(258,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X = Y )
          | ( ( m_NotNorm @ X )
           != ( m_NotNorm @ Y ) ) )
      & ! [X: $i,Y: $i] :
          ( ( ( m_NotNorm @ X )
            = ( m_NotNorm @ Y ) )
          | ( X != Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[204]) ).

thf(259,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X = Y )
          | ( ( m_Ldr @ X )
           != ( m_Ldr @ Y ) ) )
      & ! [X: $i,Y: $i] :
          ( ( ( m_Ldr @ X )
            = ( m_Ldr @ Y ) )
          | ( X != Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[203]) ).

thf(260,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( X = Y )
          | ( ( m_Down @ X )
           != ( m_Down @ Y ) ) )
      & ! [X: $i,Y: $i] :
          ( ( ( m_Down @ X )
            = ( m_Down @ Y ) )
          | ( X != Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[202]) ).

thf(261,plain,
    ( ( ! [X1: $i,X2: $i] :
          ( ( X1 = X2 )
          | ! [Y1: $i,Y2: $i] :
              ( ( m_Ack @ X1 @ Y1 )
             != ( m_Ack @ X2 @ Y2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[201]) ).

thf(262,plain,
    ( ( ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
          ( ( Y1 = Y2 )
          | ( ( m_Ack @ X1 @ Y1 )
           != ( m_Ack @ X2 @ Y2 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[200]) ).

thf(263,plain,
    ( ( ! [Pid: $i,Pid2: $i] :
          ( ( ( host @ Pid )
            = ( host @ Pid2 ) )
          | ( Pid != Pid2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[199]) ).

thf(264,plain,
    ( ( ~ ( setIn @ nil @ alive ) )
    = $true ),
    inference(copy,[status(thm)],[101]) ).

thf(265,plain,
    ( ( ! [X: $i,Q: $i] :
          ( ( head @ ( cons @ X @ Q ) )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[100]) ).

thf(266,plain,
    ( ( ! [X: $i,Q: $i] :
          ( ( tail @ ( cons @ X @ Q ) )
          = Q ) )
    = $true ),
    inference(copy,[status(thm)],[99]) ).

thf(267,plain,
    ( ( ! [Y: $i,Q: $i] :
          ( ( last @ ( snoc @ Q @ Y ) )
          = Y ) )
    = $true ),
    inference(copy,[status(thm)],[98]) ).

thf(268,plain,
    ( ( ! [Y: $i,Q: $i] :
          ( ( init @ ( snoc @ Q @ Y ) )
          = Q ) )
    = $true ),
    inference(copy,[status(thm)],[97]) ).

thf(269,plain,
    ( ( ! [Q: $i] :
          ( ( Q = q_nil )
          | ( Q
            = ( cons @ ( head @ Q ) @ ( tail @ Q ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[96]) ).

thf(270,plain,
    ( ( ! [Q: $i] :
          ( ( Q = q_nil )
          | ( Q
            = ( snoc @ ( init @ Q ) @ ( last @ Q ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[95]) ).

thf(271,plain,
    ( ( ! [X: $i,Q: $i] :
          ( q_nil
         != ( cons @ X @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[198]) ).

thf(272,plain,
    ( ( ! [Y: $i,Q: $i] :
          ( q_nil
         != ( snoc @ Q @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[197]) ).

thf(273,plain,
    ( ( ! [X: $i] :
          ( ( cons @ X @ q_nil )
          = ( snoc @ q_nil @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[92]) ).

thf(274,plain,
    ( ( ! [X: $i,Y: $i,Q: $i] :
          ( ( snoc @ ( cons @ X @ Q ) @ Y )
          = ( cons @ X @ ( snoc @ Q @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[91]) ).

thf(275,plain,
    ( ( ! [X: $i] :
          ~ ( elem @ X @ q_nil ) )
    = $true ),
    inference(copy,[status(thm)],[90]) ).

thf(276,plain,
    ( ( ! [X: $i] :
          ( ! [Y: $i,Q: $i] :
              ( ~ ( elem @ X @ ( cons @ Y @ Q ) )
              | ( X = Y )
              | ( elem @ X @ Q ) )
          & ! [Y: $i] :
              ( ( X != Y )
              | ! [Q: $i] : ( elem @ X @ ( cons @ Y @ Q ) ) )
          & ! [Y: $i,Q: $i] :
              ( ~ ( elem @ X @ Q )
              | ( elem @ X @ ( cons @ Y @ Q ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[196]) ).

thf(277,plain,
    ( ( ! [X: $i] :
          ( ! [Y: $i,Q: $i] :
              ( ~ ( elem @ X @ ( snoc @ Q @ Y ) )
              | ( X = Y )
              | ( elem @ X @ Q ) )
          & ! [Y: $i] :
              ( ( X != Y )
              | ! [Q: $i] : ( elem @ X @ ( snoc @ Q @ Y ) ) )
          & ! [Y: $i,Q: $i] :
              ( ~ ( elem @ X @ Q )
              | ( elem @ X @ ( snoc @ Q @ Y ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[195]) ).

thf(278,plain,
    ( ( ! [X: $i] :
          ( ( ! [Y: $i] :
                ( X
               != ( m_Halt @ Y ) )
            & ! [Y: $i] :
                ( X
               != ( m_Down @ Y ) ) )
          | ( pidElem @ X ) )
      & ! [X: $i] :
          ( ~ ( pidElem @ X )
          | ( X
            = ( m_Halt @ ( sK11_Y @ X ) ) )
          | ( X
            = ( m_Down @ ( sK10_Y @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[194]) ).

thf(279,plain,
    ( ( ! [X: $i] :
          ( ( pidMsg @ ( m_Halt @ X ) )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[86]) ).

thf(280,plain,
    ( ( ! [X: $i] :
          ( ( pidMsg @ ( m_Down @ X ) )
          = X ) )
    = $true ),
    inference(copy,[status(thm)],[85]) ).

thf(281,plain,
    ( ( ordered @ q_nil )
    = $true ),
    inference(copy,[status(thm)],[84]) ).

thf(282,plain,
    ( ( ! [X: $i] : ( ordered @ ( cons @ X @ q_nil ) )
      & ! [X: $i] : ( ordered @ ( snoc @ q_nil @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[193]) ).

thf(283,plain,
    ( ( ! [X: $i,Q: $i] :
          ( ( ( elem @ ( sK9_Y @ Q @ X ) @ Q )
            & ( pidElem @ X )
            & ( pidElem @ ( sK9_Y @ Q @ X ) )
            & ( ( host @ ( pidMsg @ ( sK9_Y @ Q @ X ) ) )
              = ( host @ ( pidMsg @ X ) ) )
            & ~ ( leq @ ( pidMsg @ X ) @ ( pidMsg @ ( sK9_Y @ Q @ X ) ) ) )
          | ~ ( ordered @ Q )
          | ( ordered @ ( cons @ X @ Q ) ) )
      & ! [X: $i,Q: $i] :
          ( ~ ( ordered @ ( cons @ X @ Q ) )
          | ! [Y: $i] :
              ( ~ ( elem @ Y @ Q )
              | ~ ( pidElem @ X )
              | ~ ( pidElem @ Y )
              | ( ( host @ ( pidMsg @ Y ) )
               != ( host @ ( pidMsg @ X ) ) )
              | ( leq @ ( pidMsg @ X ) @ ( pidMsg @ Y ) ) ) )
      & ! [X: $i,Q: $i] :
          ( ~ ( ordered @ ( cons @ X @ Q ) )
          | ( ordered @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[192]) ).

thf(284,plain,
    ( ( ! [X: $i,Q: $i] :
          ( ( ( elem @ ( sK8_Y @ Q @ X ) @ Q )
            & ( pidElem @ X )
            & ( pidElem @ ( sK8_Y @ Q @ X ) )
            & ( ( host @ ( pidMsg @ ( sK8_Y @ Q @ X ) ) )
              = ( host @ ( pidMsg @ X ) ) )
            & ~ ( leq @ ( pidMsg @ ( sK8_Y @ Q @ X ) ) @ ( pidMsg @ X ) ) )
          | ~ ( ordered @ Q )
          | ( ordered @ ( snoc @ Q @ X ) ) )
      & ! [X: $i,Q: $i] :
          ( ~ ( ordered @ ( snoc @ Q @ X ) )
          | ! [Y: $i] :
              ( ~ ( elem @ Y @ Q )
              | ~ ( pidElem @ X )
              | ~ ( pidElem @ Y )
              | ( ( host @ ( pidMsg @ Y ) )
               != ( host @ ( pidMsg @ X ) ) )
              | ( leq @ ( pidMsg @ Y ) @ ( pidMsg @ X ) ) ) )
      & ! [X: $i,Q: $i] :
          ( ~ ( ordered @ ( snoc @ Q @ X ) )
          | ( ordered @ Q ) ) )
    = $true ),
    inference(copy,[status(thm)],[191]) ).

thf(285,plain,
    ( ( ! [Q: $i] :
          ( ~ ( ordered @ Q )
          | ! [X: $i,Y: $i] : ( ordered @ ( snoc @ Q @ ( m_Ack @ X @ Y ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[190]) ).

thf(286,plain,
    ( ( ! [Q: $i] :
          ( ~ ( ordered @ Q )
          | ! [X: $i] : ( ordered @ ( snoc @ Q @ ( m_Ldr @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[189]) ).

thf(287,plain,
    ( ( ! [Q: $i,X: $i,Y: $i] :
          ( ( ( host @ X )
           != ( host @ Y ) )
          | ~ ( ordered @ ( cons @ ( m_Halt @ X ) @ Q ) )
          | ~ ( elem @ ( m_Down @ Y ) @ Q )
          | ( leq @ X @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[188]) ).

thf(288,plain,
    ( ( ! [X: $i] :
          ~ ( leq @ ( s @ X ) @ X ) )
    = $true ),
    inference(copy,[status(thm)],[77]) ).

thf(289,plain,
    ( ( ! [X: $i] : ( leq @ X @ X ) )
    = $true ),
    inference(copy,[status(thm)],[76]) ).

thf(290,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( leq @ X @ Y )
          | ( leq @ Y @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[75]) ).

thf(291,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( leq @ X @ Y )
          | ~ ( leq @ Y @ X )
          | ( X = Y ) )
      & ! [X: $i,Y: $i] :
          ( ( X != Y )
          | ( leq @ X @ Y ) )
      & ! [X: $i,Y: $i] :
          ( ( X != Y )
          | ( leq @ Y @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[187]) ).

thf(292,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ~ ( leq @ X @ Y )
          | ~ ( leq @ Y @ Z )
          | ( leq @ X @ Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[186]) ).

thf(293,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( leq @ X @ Y )
          | ( leq @ ( s @ X ) @ ( s @ Y ) ) )
      & ! [X: $i,Y: $i] :
          ( ~ ( leq @ ( s @ X ) @ ( s @ Y ) )
          | ( leq @ X @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[185]) ).

thf(294,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( leq @ X @ ( s @ Y ) )
          | ( X
            = ( s @ Y ) )
          | ( leq @ X @ Y ) )
      & ! [X: $i,Y: $i] :
          ( ( X
           != ( s @ Y ) )
          | ( leq @ X @ ( s @ Y ) ) )
      & ! [X: $i,Y: $i] :
          ( ~ ( leq @ X @ Y )
          | ( leq @ X @ ( s @ Y ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[184]) ).

thf(295,plain,
    ( ( ! [X: $i] :
          ~ ( setIn @ X @ setEmpty ) )
    = $true ),
    inference(copy,[status(thm)],[70]) ).

thf(296,plain,
    ( ( ~ ( leq @ nbr_proc @ ( host @ sK3_SY166 ) ) )
    = $true ),
    inference(copy,[status(thm)],[162]) ).

thf(297,plain,
    ( ( ( index @ status @ ( host @ sK3_SY166 ) )
      = elec_1 )
    = $true ),
    inference(copy,[status(thm)],[161]) ).

thf(298,plain,
    ( ( ! [SY336: $i] :
          ( ( leq @ ( host @ sK3_SY166 ) @ SY336 )
          | ~ ( leq @ ( s @ zero ) @ SY336 )
          | ( SY336
            = ( host @ sK4_SY254 ) )
          | ( setIn @ SY336 @ ( index @ down @ ( host @ sK3_SY166 ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[183]) ).

thf(299,plain,
    ( ( ( ( ( index @ ldr @ ( host @ sK3_SY166 ) )
         != ( host @ sK4_SY254 ) )
        | ( ( index @ status @ ( host @ sK3_SY166 ) )
         != norm ) )
      & ( ( ( index @ status @ ( host @ sK3_SY166 ) )
         != wait )
        | ( ( host @ sK4_SY254 )
         != ( host @ ( index @ elid @ ( host @ sK3_SY166 ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[182]) ).

thf(300,plain,
    ( ( ~ ( leq @ ( host @ sK3_SY166 ) @ ( host @ sK4_SY254 ) ) )
    = $true ),
    inference(copy,[status(thm)],[158]) ).

thf(301,plain,
    ( ( setIn @ sK3_SY166 @ alive )
    = $true ),
    inference(copy,[status(thm)],[157]) ).

thf(302,plain,
    ( ( ( queue @ ( host @ sK3_SY166 ) )
      = ( cons @ ( m_Down @ sK4_SY254 ) @ sK1_V ) )
    = $true ),
    inference(copy,[status(thm)],[156]) ).

thf(303,plain,
    ( ( ! [Z: $i] :
          ( ! [Pid20: $i,Pid0: $i] :
              ( ( ~ ( leq @ ( host @ Pid0 ) @ ( sK7_V0 @ Pid0 @ Pid20 @ Z ) )
                & ( leq @ ( s @ zero ) @ ( sK7_V0 @ Pid0 @ Pid20 @ Z ) )
                & ( ( sK7_V0 @ Pid0 @ Pid20 @ Z )
                 != ( host @ Pid20 ) )
                & ~ ( setIn @ ( sK7_V0 @ Pid0 @ Pid20 @ Z ) @ ( index @ down @ ( host @ Pid0 ) ) ) )
              | ( leq @ ( host @ Pid0 ) @ ( host @ Z ) )
              | ~ ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
              | ( ( index @ status @ ( host @ Pid0 ) )
               != elec_1 ) )
          | ( ( index @ ldr @ ( host @ Z ) )
           != ( host @ Z ) )
          | ~ ( setIn @ Z @ alive )
          | ( ( index @ status @ ( host @ Z ) )
           != norm ) ) )
    = $true ),
    inference(copy,[status(thm)],[181]) ).

thf(304,plain,
    ( ( ! [Z: $i] :
          ( ! [Pid20: $i,Pid0: $i] :
              ( ~ ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
              | ~ ( setIn @ Pid0 @ alive )
              | ( ( host @ Pid20 )
               != ( host @ Z ) )
              | ( ( index @ status @ ( host @ Pid0 ) )
               != elec_2 ) )
          | ( ( index @ ldr @ ( host @ Z ) )
           != ( host @ Z ) )
          | ~ ( setIn @ Z @ alive )
          | ( ( index @ status @ ( host @ Z ) )
           != norm ) ) )
    = $true ),
    inference(copy,[status(thm)],[180]) ).

thf(305,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)],[179]) ).

thf(306,plain,
    ( ( ! [Z: $i] :
          ( ! [Pid0: $i] :
              ( ( leq @ ( index @ pendack @ ( host @ Pid0 ) ) @ ( host @ Z ) )
              | ~ ( setIn @ Pid0 @ alive )
              | ( ( index @ status @ ( host @ Pid0 ) )
               != elec_2 ) )
          | ( ( index @ ldr @ ( host @ Z ) )
           != ( host @ Z ) )
          | ~ ( setIn @ Z @ alive )
          | ( ( index @ status @ ( host @ Z ) )
           != norm ) ) )
    = $true ),
    inference(copy,[status(thm)],[178]) ).

thf(307,plain,
    ( ( ! [Z: $i,Pid20: $i] :
          ( ! [Pid0: $i] :
              ( ( ( host @ Pid20 )
               != ( host @ Pid0 ) )
              | ~ ( setIn @ Pid0 @ alive )
              | ( ( index @ status @ ( host @ Pid0 ) )
               != norm )
              | ( ( index @ ldr @ ( host @ Pid0 ) )
               != ( host @ Pid0 ) ) )
          | ~ ( elem @ ( m_Down @ Pid20 ) @ ( queue @ ( host @ Z ) ) )
          | ~ ( setIn @ Z @ alive ) ) )
    = $true ),
    inference(copy,[status(thm)],[177]) ).

thf(308,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)],[176]) ).

thf(309,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)],[175]) ).

thf(310,plain,
    ( ( ! [Z: $i] :
          ( ! [Pid20: $i] :
              ( ! [Pid0: $i] :
                  ( ~ ( elem @ ( m_Ack @ Pid0 @ Pid20 ) @ ( queue @ ( host @ Pid0 ) ) )
                  | ~ ( setIn @ Pid0 @ alive ) )
              | ( ( host @ Pid20 )
               != ( host @ Z ) ) )
          | ( ( index @ ldr @ ( host @ Z ) )
           != ( host @ Z ) )
          | ~ ( setIn @ Z @ alive )
          | ( ( index @ status @ ( host @ Z ) )
           != norm ) ) )
    = $true ),
    inference(copy,[status(thm)],[174]) ).

thf(311,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)],[173]) ).

thf(312,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)],[172]) ).

thf(313,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( ( index @ status @ ( host @ Pid0 ) )
           != norm )
          | ~ ( setIn @ Pid0 @ alive )
          | ( ( index @ ldr @ ( host @ Pid0 ) )
           != ( host @ Pid0 ) )
          | ~ ( setIn @ Z @ alive )
          | ~ ( setIn @ ( host @ Pid0 ) @ ( index @ down @ ( host @ Z ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[171]) ).

thf(314,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)],[170]) ).

thf(315,plain,
    ( ( ! [Z: $i] :
          ( ~ ( setIn @ Z @ alive )
          | ( ( index @ status @ ( host @ Z ) )
           != elec_1 )
          | ( ( index @ elid @ ( host @ Z ) )
            = Z ) )
      & ! [Z: $i] :
          ( ~ ( setIn @ Z @ alive )
          | ( ( index @ status @ ( host @ Z ) )
           != elec_2 )
          | ( ( index @ elid @ ( host @ Z ) )
            = Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[169]) ).

thf(316,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( ( index @ status @ ( host @ Pid0 ) )
           != elec_2 )
          | ~ ( setIn @ Pid0 @ alive )
          | ~ ( elem @ ( m_Ack @ Z @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[168]) ).

thf(317,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ( Pid0 = Z )
          | ( ( host @ Pid0 )
           != ( host @ Z ) )
          | ~ ( setIn @ Z @ alive )
          | ~ ( setIn @ Pid0 @ alive ) ) )
    = $true ),
    inference(copy,[status(thm)],[167]) ).

thf(318,plain,
    ( ( ! [Z: $i,Pid0: $i] :
          ( ~ ( elem @ ( m_Ldr @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
          | ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[166]) ).

thf(319,plain,
    ( ( ( ( host @ sK3_SY166 )
       != ( host @ sK5_SY295 ) )
      & ( ( host @ sK3_SY166 )
        = ( host @ sK6_SY339 ) )
      & ~ ( leq @ ( s @ ( host @ sK3_SY166 ) ) @ ( host @ sK5_SY295 ) )
      & ( setIn @ sK6_SY339 @ alive )
      & ( ( index @ ldr @ ( host @ sK5_SY295 ) )
        = ( host @ sK5_SY295 ) )
      & ( setIn @ sK5_SY295 @ alive )
      & ( ( index @ status @ ( host @ sK5_SY295 ) )
        = norm ) )
    = $true ),
    inference(copy,[status(thm)],[165]) ).

thf(320,plain,
    ( ( ~ ( ~ ! [SX0: $i] : ( ordered @ ( cons @ SX0 @ q_nil ) )
          | ~ ! [SX0: $i] : ( ordered @ ( snoc @ q_nil @ SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[282]) ).

thf(321,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0 = SX1 )
                | ( ( m_Down @ SX0 )
                 != ( m_Down @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( ( m_Down @ SX0 )
                  = ( m_Down @ SX1 ) )
                | ( SX0 != SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[260]) ).

thf(322,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( ~ ! [SX1: $i] :
                          ( SX0
                         != ( m_Halt @ SX1 ) )
                    | ~ ! [SX1: $i] :
                          ( SX0
                         != ( m_Down @ SX1 ) ) )
                | ( pidElem @ SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( pidElem @ SX0 )
                | ( SX0
                  = ( m_Halt @ ( sK11_Y @ SX0 ) ) )
                | ( SX0
                  = ( m_Down @ ( sK10_Y @ SX0 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[278]) ).

thf(323,plain,
    ( ( ~ ( ~ ( ( ( index @ ldr @ ( host @ sK3_SY166 ) )
               != ( host @ sK4_SY254 ) )
              | ( ( index @ status @ ( host @ sK3_SY166 ) )
               != norm ) )
          | ~ ( ( ( index @ status @ ( host @ sK3_SY166 ) )
               != wait )
              | ( ( host @ sK4_SY254 )
               != ( host @ ( index @ elid @ ( host @ sK3_SY166 ) ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[299]) ).

thf(324,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK8_Y @ SX1 @ SX0 ) @ SX1 )
                                      | ~ ( pidElem @ SX0 ) )
                                | ~ ( pidElem @ ( sK8_Y @ SX1 @ SX0 ) ) )
                          | ( ( host @ ( pidMsg @ ( sK8_Y @ SX1 @ SX0 ) ) )
                           != ( host @ ( pidMsg @ SX0 ) ) ) )
                    | ~ ~ ( leq @ ( pidMsg @ ( sK8_Y @ SX1 @ SX0 ) ) @ ( pidMsg @ SX0 ) ) )
                | ~ ( ordered @ SX1 )
                | ( ordered @ ( snoc @ SX1 @ SX0 ) ) )
          | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
                      | ! [SX2: $i] :
                          ( ~ ( elem @ SX2 @ SX1 )
                          | ~ ( pidElem @ SX0 )
                          | ~ ( pidElem @ SX2 )
                          | ( ( host @ ( pidMsg @ SX2 ) )
                           != ( host @ ( pidMsg @ SX0 ) ) )
                          | ( leq @ ( pidMsg @ SX2 ) @ ( pidMsg @ SX0 ) ) ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
                      | ( ordered @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[284]) ).

thf(325,plain,
    ( ( ~ ( ~ ( ( ( host @ sK3_SY166 )
               != ( host @ sK5_SY295 ) ) )
          | ~ ~ ( ( ( host @ sK3_SY166 )
                 != ( host @ sK6_SY339 ) )
                | ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY166 ) ) @ ( host @ sK5_SY295 ) )
                            | ~ ( setIn @ sK6_SY339 @ alive ) )
                      | ~ ~ ( ~ ~ ( ( ( index @ ldr @ ( host @ sK5_SY295 ) )
                                   != ( host @ sK5_SY295 ) )
                                  | ~ ( setIn @ sK5_SY295 @ alive ) )
                            | ( ( index @ status @ ( host @ sK5_SY295 ) )
                             != norm ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[319]) ).

thf(326,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0 = SX1 )
                | ( ( m_Ldr @ SX0 )
                 != ( m_Ldr @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( ( m_Ldr @ SX0 )
                  = ( m_Ldr @ SX1 ) )
                | ( SX0 != SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[259]) ).

thf(327,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0 = SX1 )
                | ( ( m_NotNorm @ SX0 )
                 != ( m_NotNorm @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( ( m_NotNorm @ SX0 )
                  = ( m_NotNorm @ SX1 ) )
                | ( SX0 != SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[258]) ).

thf(328,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK9_Y @ SX1 @ SX0 ) @ SX1 )
                                      | ~ ( pidElem @ SX0 ) )
                                | ~ ( pidElem @ ( sK9_Y @ SX1 @ SX0 ) ) )
                          | ( ( host @ ( pidMsg @ ( sK9_Y @ SX1 @ SX0 ) ) )
                           != ( host @ ( pidMsg @ SX0 ) ) ) )
                    | ~ ~ ( leq @ ( pidMsg @ SX0 ) @ ( pidMsg @ ( sK9_Y @ SX1 @ SX0 ) ) ) )
                | ~ ( ordered @ SX1 )
                | ( ordered @ ( cons @ SX0 @ SX1 ) ) )
          | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
                      | ! [SX2: $i] :
                          ( ~ ( elem @ SX2 @ SX1 )
                          | ~ ( pidElem @ SX0 )
                          | ~ ( pidElem @ SX2 )
                          | ( ( host @ ( pidMsg @ SX2 ) )
                           != ( host @ ( pidMsg @ SX0 ) ) )
                          | ( leq @ ( pidMsg @ SX0 ) @ ( pidMsg @ SX2 ) ) ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
                      | ( ordered @ SX1 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[283]) ).

thf(329,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ! [SX1: $i] :
                    ~ ( elem @ ( m_Ack @ SX0 @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
                | ( setIn @ SX0 @ pids ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( elem @ ( m_Ack @ SX0 @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
                | ( setIn @ SX1 @ pids ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[230]) ).

thf(330,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( leq @ SX0 @ SX1 )
                | ( leq @ ( s @ SX0 ) @ ( s @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( leq @ ( s @ SX0 ) @ ( s @ SX1 ) )
                | ( leq @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[293]) ).

thf(331,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0 = SX1 )
                | ( ( m_Halt @ SX0 )
                 != ( m_Halt @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( ( m_Halt @ SX0 )
                  = ( m_Halt @ SX1 ) )
                | ( SX0 != SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[256]) ).

thf(332,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0 = SX1 )
                | ( ( m_NormQ @ SX0 )
                 != ( m_NormQ @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( ( m_NormQ @ SX0 )
                  = ( m_NormQ @ SX1 ) )
                | ( SX0 != SX1 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[257]) ).

thf(333,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i,SX2: $i] :
              ( ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SX2 ) @ ( sK7_V0 @ SX2 @ SX1 @ SX0 ) )
                        | ~ ( leq @ ( s @ zero ) @ ( sK7_V0 @ SX2 @ SX1 @ SX0 ) ) )
                  | ~ ~ ( ~ ( ( ( sK7_V0 @ SX2 @ SX1 @ SX0 )
                             != ( host @ SX1 ) ) )
                        | ~ ~ ( setIn @ ( sK7_V0 @ SX2 @ SX1 @ SX0 ) @ ( index @ down @ ( host @ SX2 ) ) ) ) )
              | ( leq @ ( host @ SX2 ) @ ( host @ SX0 ) )
              | ~ ( elem @ ( m_Down @ SX1 ) @ ( queue @ ( host @ SX2 ) ) )
              | ( ( index @ status @ ( host @ SX2 ) )
               != elec_1 ) )
          | ( ( index @ ldr @ ( host @ SX0 ) )
           != ( host @ SX0 ) )
          | ~ ( setIn @ SX0 @ alive )
          | ( ( index @ status @ ( host @ SX0 ) )
           != norm ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[303]) ).

thf(334,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( leq @ SX0 @ SX1 )
                | ~ ( leq @ SX1 @ SX0 )
                | ( SX0 = SX1 ) )
          | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ( SX0 != SX1 )
                      | ( leq @ SX0 @ SX1 ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ( SX0 != SX1 )
                      | ( leq @ SX1 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[291]) ).

thf(335,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( elem @ SX0 @ ( snoc @ SX2 @ SX1 ) )
                  | ( SX0 = SX1 )
                  | ( elem @ SX0 @ SX2 ) )
            | ~ ~ ( ~ ! [SX1: $i] :
                        ( ( SX0 != SX1 )
                        | ! [SX2: $i] : ( elem @ SX0 @ ( snoc @ SX2 @ SX1 ) ) )
                  | ~ ! [SX1: $i,SX2: $i] :
                        ( ~ ( elem @ SX0 @ SX2 )
                        | ( elem @ SX0 @ ( snoc @ SX2 @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[277]) ).

thf(336,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( leq @ SX0 @ ( s @ SX1 ) )
                | ( SX0
                  = ( s @ SX1 ) )
                | ( leq @ SX0 @ SX1 ) )
          | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                      ( ( SX0
                       != ( s @ SX1 ) )
                      | ( leq @ SX0 @ ( s @ SX1 ) ) )
                | ~ ! [SX0: $i,SX1: $i] :
                      ( ~ ( leq @ SX0 @ SX1 )
                      | ( leq @ SX0 @ ( s @ SX1 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[294]) ).

thf(337,plain,
    ( ( ~ ( ~ ! [SX0: $i] :
                ( ~ ( setIn @ SX0 @ alive )
                | ( ( index @ status @ ( host @ SX0 ) )
                 != elec_1 )
                | ( ( index @ elid @ ( host @ SX0 ) )
                  = SX0 ) )
          | ~ ! [SX0: $i] :
                ( ~ ( setIn @ SX0 @ alive )
                | ( ( index @ status @ ( host @ SX0 ) )
                 != elec_2 )
                | ( ( index @ elid @ ( host @ SX0 ) )
                  = SX0 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[315]) ).

thf(338,plain,
    ( ( ! [SX0: $i] :
          ~ ( ~ ! [SX1: $i,SX2: $i] :
                  ( ~ ( elem @ SX0 @ ( cons @ SX1 @ SX2 ) )
                  | ( SX0 = SX1 )
                  | ( elem @ SX0 @ SX2 ) )
            | ~ ~ ( ~ ! [SX1: $i] :
                        ( ( SX0 != SX1 )
                        | ! [SX2: $i] : ( elem @ SX0 @ ( cons @ SX1 @ SX2 ) ) )
                  | ~ ! [SX1: $i,SX2: $i] :
                        ( ~ ( elem @ SX0 @ SX2 )
                        | ( elem @ SX0 @ ( cons @ SX1 @ SX2 ) ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[276]) ).

thf(339,plain,
    ! [SV1: $i] :
      ( ( ! [SY340: $i] :
            ( ( ( s @ ( host @ SV1 ) )
             != ( host @ SY340 ) )
            | ( ( host @ SV1 )
             != ( host @ SY340 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[231]) ).

thf(340,plain,
    ! [SV2: $i] :
      ( ( leq @ ( s @ zero ) @ ( host @ SV2 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[232]) ).

thf(341,plain,
    ! [SV3: $i] :
      ( ( leq @ ( host @ SV3 ) @ nbr_proc )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[234]) ).

thf(342,plain,
    ( ( elec_1 = elec_2 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[235]) ).

thf(343,plain,
    ( ( elec_1 = wait )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[236]) ).

thf(344,plain,
    ( ( elec_1 = norm )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[237]) ).

thf(345,plain,
    ( ( elec_2 = wait )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[238]) ).

thf(346,plain,
    ( ( elec_2 = norm )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[239]) ).

thf(347,plain,
    ( ( norm = wait )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[240]) ).

thf(348,plain,
    ! [SV4: $i] :
      ( ( ! [SY341: $i,SY342: $i] :
            ( ( m_Ack @ SV4 @ SY341 )
           != ( m_Halt @ SY342 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[241]) ).

thf(349,plain,
    ! [SV5: $i] :
      ( ( ! [SY343: $i,SY344: $i] :
            ( ( m_Ack @ SV5 @ SY343 )
           != ( m_Down @ SY344 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[242]) ).

thf(350,plain,
    ! [SV6: $i] :
      ( ( ! [SY345: $i,SY346: $i] :
            ( ( m_Ack @ SV6 @ SY345 )
           != ( m_NotNorm @ SY346 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[243]) ).

thf(351,plain,
    ! [SV7: $i] :
      ( ( ! [SY347: $i,SY348: $i] :
            ( ( m_Ack @ SV7 @ SY347 )
           != ( m_Ldr @ SY348 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[244]) ).

thf(352,plain,
    ! [SV8: $i] :
      ( ( ! [SY349: $i,SY350: $i] :
            ( ( m_Ack @ SV8 @ SY349 )
           != ( m_NormQ @ SY350 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[245]) ).

thf(353,plain,
    ! [SV9: $i] :
      ( ( ! [SY351: $i] :
            ( ( m_NotNorm @ SV9 )
           != ( m_Halt @ SY351 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[246]) ).

thf(354,plain,
    ! [SV10: $i] :
      ( ( ! [SY352: $i] :
            ( ( m_Down @ SV10 )
           != ( m_Halt @ SY352 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[247]) ).

thf(355,plain,
    ! [SV11: $i] :
      ( ( ! [SY353: $i] :
            ( ( m_Down @ SV11 )
           != ( m_Ldr @ SY353 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[248]) ).

thf(356,plain,
    ! [SV12: $i] :
      ( ( ! [SY354: $i] :
            ( ( m_Down @ SV12 )
           != ( m_NotNorm @ SY354 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[249]) ).

thf(357,plain,
    ! [SV13: $i] :
      ( ( ! [SY355: $i] :
            ( ( m_Down @ SV13 )
           != ( m_NormQ @ SY355 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[250]) ).

thf(358,plain,
    ! [SV14: $i] :
      ( ( ! [SY356: $i] :
            ( ( m_NormQ @ SV14 )
           != ( m_Halt @ SY356 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[251]) ).

thf(359,plain,
    ! [SV15: $i] :
      ( ( ! [SY357: $i] :
            ( ( m_Ldr @ SV15 )
           != ( m_Halt @ SY357 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[252]) ).

thf(360,plain,
    ! [SV16: $i] :
      ( ( ! [SY358: $i] :
            ( ( m_Ldr @ SV16 )
           != ( m_NormQ @ SY358 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[253]) ).

thf(361,plain,
    ! [SV17: $i] :
      ( ( ! [SY359: $i] :
            ( ( m_Ldr @ SV17 )
           != ( m_NotNorm @ SY359 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[254]) ).

thf(362,plain,
    ! [SV18: $i] :
      ( ( ! [SY360: $i] :
            ( ( m_NormQ @ SV18 )
           != ( m_NotNorm @ SY360 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[255]) ).

thf(363,plain,
    ! [SV19: $i] :
      ( ( ! [SY361: $i] :
            ( ( SV19 = SY361 )
            | ! [SY362: $i,SY363: $i] :
                ( ( m_Ack @ SV19 @ SY362 )
               != ( m_Ack @ SY361 @ SY363 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[261]) ).

thf(364,plain,
    ! [SV20: $i] :
      ( ( ! [SY364: $i,SY365: $i,SY366: $i] :
            ( ( SY365 = SY366 )
            | ( ( m_Ack @ SV20 @ SY365 )
             != ( m_Ack @ SY364 @ SY366 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[262]) ).

thf(365,plain,
    ! [SV21: $i] :
      ( ( ! [SY367: $i] :
            ( ( ( host @ SV21 )
              = ( host @ SY367 ) )
            | ( SV21 != SY367 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[263]) ).

thf(366,plain,
    ( ( setIn @ nil @ alive )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[264]) ).

thf(367,plain,
    ! [SV22: $i] :
      ( ( ! [SY368: $i] :
            ( ( head @ ( cons @ SV22 @ SY368 ) )
            = SV22 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[265]) ).

thf(368,plain,
    ! [SV23: $i] :
      ( ( ! [SY369: $i] :
            ( ( tail @ ( cons @ SV23 @ SY369 ) )
            = SY369 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[266]) ).

thf(369,plain,
    ! [SV24: $i] :
      ( ( ! [SY370: $i] :
            ( ( last @ ( snoc @ SY370 @ SV24 ) )
            = SV24 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[267]) ).

thf(370,plain,
    ! [SV25: $i] :
      ( ( ! [SY371: $i] :
            ( ( init @ ( snoc @ SY371 @ SV25 ) )
            = SY371 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[268]) ).

thf(371,plain,
    ! [SV26: $i] :
      ( ( ( SV26 = q_nil )
        | ( SV26
          = ( cons @ ( head @ SV26 ) @ ( tail @ SV26 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[269]) ).

thf(372,plain,
    ! [SV27: $i] :
      ( ( ( SV27 = q_nil )
        | ( SV27
          = ( snoc @ ( init @ SV27 ) @ ( last @ SV27 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[270]) ).

thf(373,plain,
    ! [SV28: $i] :
      ( ( ! [SY372: $i] :
            ( q_nil
           != ( cons @ SV28 @ SY372 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[271]) ).

thf(374,plain,
    ! [SV29: $i] :
      ( ( ! [SY373: $i] :
            ( q_nil
           != ( snoc @ SY373 @ SV29 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[272]) ).

thf(375,plain,
    ! [SV30: $i] :
      ( ( ( cons @ SV30 @ q_nil )
        = ( snoc @ q_nil @ SV30 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[273]) ).

thf(376,plain,
    ! [SV31: $i] :
      ( ( ! [SY374: $i,SY375: $i] :
            ( ( snoc @ ( cons @ SV31 @ SY375 ) @ SY374 )
            = ( cons @ SV31 @ ( snoc @ SY375 @ SY374 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[274]) ).

thf(377,plain,
    ! [SV32: $i] :
      ( ( ~ ( elem @ SV32 @ q_nil ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[275]) ).

thf(378,plain,
    ! [SV33: $i] :
      ( ( ( pidMsg @ ( m_Halt @ SV33 ) )
        = SV33 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[279]) ).

thf(379,plain,
    ! [SV34: $i] :
      ( ( ( pidMsg @ ( m_Down @ SV34 ) )
        = SV34 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[280]) ).

thf(380,plain,
    ! [SV35: $i] :
      ( ( ~ ( ordered @ SV35 )
        | ! [SY376: $i,SY377: $i] : ( ordered @ ( snoc @ SV35 @ ( m_Ack @ SY376 @ SY377 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[285]) ).

thf(381,plain,
    ! [SV36: $i] :
      ( ( ~ ( ordered @ SV36 )
        | ! [SY378: $i] : ( ordered @ ( snoc @ SV36 @ ( m_Ldr @ SY378 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[286]) ).

thf(382,plain,
    ! [SV37: $i] :
      ( ( ! [SY379: $i,SY380: $i] :
            ( ( ( host @ SY379 )
             != ( host @ SY380 ) )
            | ~ ( ordered @ ( cons @ ( m_Halt @ SY379 ) @ SV37 ) )
            | ~ ( elem @ ( m_Down @ SY380 ) @ SV37 )
            | ( leq @ SY379 @ SY380 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[287]) ).

thf(383,plain,
    ! [SV38: $i] :
      ( ( ~ ( leq @ ( s @ SV38 ) @ SV38 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[288]) ).

thf(384,plain,
    ! [SV39: $i] :
      ( ( leq @ SV39 @ SV39 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[289]) ).

thf(385,plain,
    ! [SV40: $i] :
      ( ( ! [SY381: $i] :
            ( ( leq @ SV40 @ SY381 )
            | ( leq @ SY381 @ SV40 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[290]) ).

thf(386,plain,
    ! [SV41: $i] :
      ( ( ! [SY382: $i,SY383: $i] :
            ( ~ ( leq @ SV41 @ SY382 )
            | ~ ( leq @ SY382 @ SY383 )
            | ( leq @ SV41 @ SY383 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[292]) ).

thf(387,plain,
    ! [SV42: $i] :
      ( ( ~ ( setIn @ SV42 @ setEmpty ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[295]) ).

thf(388,plain,
    ( ( leq @ nbr_proc @ ( host @ sK3_SY166 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[296]) ).

thf(389,plain,
    ! [SV43: $i] :
      ( ( ( leq @ ( host @ sK3_SY166 ) @ SV43 )
        | ~ ( leq @ ( s @ zero ) @ SV43 )
        | ( SV43
          = ( host @ sK4_SY254 ) )
        | ( setIn @ SV43 @ ( index @ down @ ( host @ sK3_SY166 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[298]) ).

thf(390,plain,
    ( ( leq @ ( host @ sK3_SY166 ) @ ( host @ sK4_SY254 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[300]) ).

thf(391,plain,
    ! [SV44: $i] :
      ( ( ! [SY384: $i,SY385: $i] :
            ( ~ ( elem @ ( m_Down @ SY384 ) @ ( queue @ ( host @ SY385 ) ) )
            | ~ ( setIn @ SY385 @ alive )
            | ( ( host @ SY384 )
             != ( host @ SV44 ) )
            | ( ( index @ status @ ( host @ SY385 ) )
             != elec_2 ) )
        | ( ( index @ ldr @ ( host @ SV44 ) )
         != ( host @ SV44 ) )
        | ~ ( setIn @ SV44 @ alive )
        | ( ( index @ status @ ( host @ SV44 ) )
         != norm ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[304]) ).

thf(392,plain,
    ! [SV45: $i] :
      ( ( ! [SY386: $i] :
            ( ( leq @ ( host @ SV45 ) @ ( host @ SY386 ) )
            | ~ ( setIn @ SV45 @ alive )
            | ~ ( setIn @ SY386 @ alive )
            | ( ( index @ status @ ( host @ SV45 ) )
             != elec_2 )
            | ( ( index @ status @ ( host @ SY386 ) )
             != elec_2 )
            | ~ ( leq @ ( index @ pendack @ ( host @ SV45 ) ) @ ( index @ pendack @ ( host @ SY386 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[305]) ).

thf(393,plain,
    ! [SV46: $i] :
      ( ( ! [SY387: $i] :
            ( ( leq @ ( index @ pendack @ ( host @ SY387 ) ) @ ( host @ SV46 ) )
            | ~ ( setIn @ SY387 @ alive )
            | ( ( index @ status @ ( host @ SY387 ) )
             != elec_2 ) )
        | ( ( index @ ldr @ ( host @ SV46 ) )
         != ( host @ SV46 ) )
        | ~ ( setIn @ SV46 @ alive )
        | ( ( index @ status @ ( host @ SV46 ) )
         != norm ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[306]) ).

thf(394,plain,
    ! [SV47: $i] :
      ( ( ! [SY388: $i] :
            ( ! [Pid0: $i] :
                ( ( ( host @ SY388 )
                 != ( host @ Pid0 ) )
                | ~ ( setIn @ Pid0 @ alive )
                | ( ( index @ status @ ( host @ Pid0 ) )
                 != norm )
                | ( ( index @ ldr @ ( host @ Pid0 ) )
                 != ( host @ Pid0 ) ) )
            | ~ ( elem @ ( m_Down @ SY388 ) @ ( queue @ ( host @ SV47 ) ) )
            | ~ ( setIn @ SV47 @ alive ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[307]) ).

thf(395,plain,
    ! [SV48: $i] :
      ( ( ! [SY390: $i,SY391: $i] :
            ( ~ ( setIn @ SV48 @ alive )
            | ~ ( setIn @ SY391 @ alive )
            | ~ ( elem @ ( m_Down @ SY390 ) @ ( queue @ ( host @ SV48 ) ) )
            | ( ( host @ SY391 )
             != ( host @ SY390 ) )
            | ( ( index @ status @ ( host @ SY391 ) )
             != elec_2 )
            | ( leq @ ( index @ pendack @ ( host @ SY391 ) ) @ ( host @ SV48 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[308]) ).

thf(396,plain,
    ! [SV49: $i] :
      ( ( ! [SY392: $i] :
            ( ! [SY393: $i] :
                ( ~ ( setIn @ SV49 @ alive )
                | ~ ( setIn @ SY393 @ alive )
                | ( ( host @ SY393 )
                 != ( host @ SY392 ) )
                | ( ( index @ status @ ( host @ SV49 ) )
                 != elec_2 )
                | ( ( index @ status @ ( host @ SY393 ) )
                 != elec_2 ) )
            | ~ ( elem @ ( m_Ack @ SV49 @ SY392 ) @ ( queue @ ( host @ SV49 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[309]) ).

thf(397,plain,
    ! [SV50: $i] :
      ( ( ! [SY394: $i] :
            ( ! [Pid0: $i] :
                ( ~ ( elem @ ( m_Ack @ Pid0 @ SY394 ) @ ( queue @ ( host @ Pid0 ) ) )
                | ~ ( setIn @ Pid0 @ alive ) )
            | ( ( host @ SY394 )
             != ( host @ SV50 ) ) )
        | ( ( index @ ldr @ ( host @ SV50 ) )
         != ( host @ SV50 ) )
        | ~ ( setIn @ SV50 @ alive )
        | ( ( index @ status @ ( host @ SV50 ) )
         != norm ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[310]) ).

thf(398,plain,
    ! [SV51: $i] :
      ( ( ! [SY396: $i] :
            ( ( leq @ ( host @ SV51 ) @ ( host @ SY396 ) )
            | ~ ( setIn @ SV51 @ alive )
            | ~ ( setIn @ SY396 @ alive )
            | ( ( index @ status @ ( host @ SV51 ) )
             != elec_2 )
            | ( ( index @ status @ ( host @ SY396 ) )
             != elec_2 )
            | ( leq @ ( index @ pendack @ ( host @ SY396 ) ) @ ( host @ SV51 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[311]) ).

thf(399,plain,
    ! [SV52: $i] :
      ( ( ! [SY397: $i] :
            ( ! [SY398: $i] :
                ( ( leq @ ( host @ SY398 ) @ ( host @ SV52 ) )
                | ~ ( setIn @ SV52 @ alive )
                | ~ ( setIn @ SY398 @ alive )
                | ( ( host @ SY398 )
                 != ( host @ SY397 ) )
                | ( ( index @ status @ ( host @ SY398 ) )
                 != elec_2 ) )
            | ~ ( elem @ ( m_Down @ SY397 ) @ ( queue @ ( host @ SV52 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[312]) ).

thf(400,plain,
    ! [SV53: $i] :
      ( ( ! [SY399: $i] :
            ( ( ( index @ status @ ( host @ SY399 ) )
             != norm )
            | ~ ( setIn @ SY399 @ alive )
            | ( ( index @ ldr @ ( host @ SY399 ) )
             != ( host @ SY399 ) )
            | ~ ( setIn @ SV53 @ alive )
            | ~ ( setIn @ ( host @ SY399 ) @ ( index @ down @ ( host @ SV53 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[313]) ).

thf(401,plain,
    ! [SV54: $i] :
      ( ( ! [SY400: $i] :
            ( ~ ( setIn @ SV54 @ alive )
            | ~ ( setIn @ SY400 @ alive )
            | ~ ( setIn @ ( host @ SY400 ) @ ( index @ down @ ( host @ SV54 ) ) )
            | ( ( index @ status @ ( host @ SY400 ) )
             != elec_2 )
            | ( leq @ ( index @ pendack @ ( host @ SY400 ) ) @ ( host @ SV54 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[314]) ).

thf(402,plain,
    ! [SV55: $i] :
      ( ( ! [SY401: $i] :
            ( ( ( index @ status @ ( host @ SY401 ) )
             != elec_2 )
            | ~ ( setIn @ SY401 @ alive )
            | ~ ( elem @ ( m_Ack @ SV55 @ SY401 ) @ ( queue @ ( host @ SV55 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[316]) ).

thf(403,plain,
    ! [SV56: $i] :
      ( ( ! [SY402: $i] :
            ( ( SY402 = SV56 )
            | ( ( host @ SY402 )
             != ( host @ SV56 ) )
            | ~ ( setIn @ SV56 @ alive )
            | ~ ( setIn @ SY402 @ alive ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[317]) ).

thf(404,plain,
    ! [SV57: $i] :
      ( ( ! [SY403: $i] :
            ( ~ ( elem @ ( m_Ldr @ SY403 ) @ ( queue @ ( host @ SV57 ) ) )
            | ~ ( leq @ ( host @ SV57 ) @ ( host @ SY403 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[318]) ).

thf(405,plain,
    ( ( ~ ! [SX0: $i] : ( ordered @ ( cons @ SX0 @ q_nil ) )
      | ~ ! [SX0: $i] : ( ordered @ ( snoc @ q_nil @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[320]) ).

thf(406,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 = SX1 )
            | ( ( m_Down @ SX0 )
             != ( m_Down @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( ( m_Down @ SX0 )
              = ( m_Down @ SX1 ) )
            | ( SX0 != SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[321]) ).

thf(407,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ! [SX1: $i] :
                      ( SX0
                     != ( m_Halt @ SX1 ) )
                | ~ ! [SX1: $i] :
                      ( SX0
                     != ( m_Down @ SX1 ) ) )
            | ( pidElem @ SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( pidElem @ SX0 )
            | ( SX0
              = ( m_Halt @ ( sK11_Y @ SX0 ) ) )
            | ( SX0
              = ( m_Down @ ( sK10_Y @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[322]) ).

thf(408,plain,
    ( ( ~ ( ( ( index @ ldr @ ( host @ sK3_SY166 ) )
           != ( host @ sK4_SY254 ) )
          | ( ( index @ status @ ( host @ sK3_SY166 ) )
           != norm ) )
      | ~ ( ( ( index @ status @ ( host @ sK3_SY166 ) )
           != wait )
          | ( ( host @ sK4_SY254 )
           != ( host @ ( index @ elid @ ( host @ sK3_SY166 ) ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[323]) ).

thf(409,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK8_Y @ SX1 @ SX0 ) @ SX1 )
                                  | ~ ( pidElem @ SX0 ) )
                            | ~ ( pidElem @ ( sK8_Y @ SX1 @ SX0 ) ) )
                      | ( ( host @ ( pidMsg @ ( sK8_Y @ SX1 @ SX0 ) ) )
                       != ( host @ ( pidMsg @ SX0 ) ) ) )
                | ~ ~ ( leq @ ( pidMsg @ ( sK8_Y @ SX1 @ SX0 ) ) @ ( pidMsg @ SX0 ) ) )
            | ~ ( ordered @ SX1 )
            | ( ordered @ ( snoc @ SX1 @ SX0 ) ) )
      | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
                  | ! [SX2: $i] :
                      ( ~ ( elem @ SX2 @ SX1 )
                      | ~ ( pidElem @ SX0 )
                      | ~ ( pidElem @ SX2 )
                      | ( ( host @ ( pidMsg @ SX2 ) )
                       != ( host @ ( pidMsg @ SX0 ) ) )
                      | ( leq @ ( pidMsg @ SX2 ) @ ( pidMsg @ SX0 ) ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
                  | ( ordered @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[324]) ).

thf(410,plain,
    ( ( ~ ( ( ( host @ sK3_SY166 )
           != ( host @ sK5_SY295 ) ) )
      | ~ ~ ( ( ( host @ sK3_SY166 )
             != ( host @ sK6_SY339 ) )
            | ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY166 ) ) @ ( host @ sK5_SY295 ) )
                        | ~ ( setIn @ sK6_SY339 @ alive ) )
                  | ~ ~ ( ~ ~ ( ( ( index @ ldr @ ( host @ sK5_SY295 ) )
                               != ( host @ sK5_SY295 ) )
                              | ~ ( setIn @ sK5_SY295 @ alive ) )
                        | ( ( index @ status @ ( host @ sK5_SY295 ) )
                         != norm ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[325]) ).

thf(411,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 = SX1 )
            | ( ( m_Ldr @ SX0 )
             != ( m_Ldr @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( ( m_Ldr @ SX0 )
              = ( m_Ldr @ SX1 ) )
            | ( SX0 != SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[326]) ).

thf(412,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 = SX1 )
            | ( ( m_NotNorm @ SX0 )
             != ( m_NotNorm @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( ( m_NotNorm @ SX0 )
              = ( m_NotNorm @ SX1 ) )
            | ( SX0 != SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[327]) ).

thf(413,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK9_Y @ SX1 @ SX0 ) @ SX1 )
                                  | ~ ( pidElem @ SX0 ) )
                            | ~ ( pidElem @ ( sK9_Y @ SX1 @ SX0 ) ) )
                      | ( ( host @ ( pidMsg @ ( sK9_Y @ SX1 @ SX0 ) ) )
                       != ( host @ ( pidMsg @ SX0 ) ) ) )
                | ~ ~ ( leq @ ( pidMsg @ SX0 ) @ ( pidMsg @ ( sK9_Y @ SX1 @ SX0 ) ) ) )
            | ~ ( ordered @ SX1 )
            | ( ordered @ ( cons @ SX0 @ SX1 ) ) )
      | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
                  | ! [SX2: $i] :
                      ( ~ ( elem @ SX2 @ SX1 )
                      | ~ ( pidElem @ SX0 )
                      | ~ ( pidElem @ SX2 )
                      | ( ( host @ ( pidMsg @ SX2 ) )
                       != ( host @ ( pidMsg @ SX0 ) ) )
                      | ( leq @ ( pidMsg @ SX0 ) @ ( pidMsg @ SX2 ) ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
                  | ( ordered @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[328]) ).

thf(414,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( elem @ ( m_Ack @ SX0 @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
            | ( setIn @ SX0 @ pids ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( elem @ ( m_Ack @ SX0 @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
            | ( setIn @ SX1 @ pids ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[329]) ).

thf(415,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( leq @ SX0 @ SX1 )
            | ( leq @ ( s @ SX0 ) @ ( s @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( leq @ ( s @ SX0 ) @ ( s @ SX1 ) )
            | ( leq @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[330]) ).

thf(416,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 = SX1 )
            | ( ( m_Halt @ SX0 )
             != ( m_Halt @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( ( m_Halt @ SX0 )
              = ( m_Halt @ SX1 ) )
            | ( SX0 != SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[331]) ).

thf(417,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 = SX1 )
            | ( ( m_NormQ @ SX0 )
             != ( m_NormQ @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( ( m_NormQ @ SX0 )
              = ( m_NormQ @ SX1 ) )
            | ( SX0 != SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[332]) ).

thf(418,plain,
    ! [SV58: $i] :
      ( ( ! [SY404: $i,SY405: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SY405 ) @ ( sK7_V0 @ SY405 @ SY404 @ SV58 ) )
                      | ~ ( leq @ ( s @ zero ) @ ( sK7_V0 @ SY405 @ SY404 @ SV58 ) ) )
                | ~ ~ ( ~ ( ( ( sK7_V0 @ SY405 @ SY404 @ SV58 )
                           != ( host @ SY404 ) ) )
                      | ~ ~ ( setIn @ ( sK7_V0 @ SY405 @ SY404 @ SV58 ) @ ( index @ down @ ( host @ SY405 ) ) ) ) )
            | ( leq @ ( host @ SY405 ) @ ( host @ SV58 ) )
            | ~ ( elem @ ( m_Down @ SY404 ) @ ( queue @ ( host @ SY405 ) ) )
            | ( ( index @ status @ ( host @ SY405 ) )
             != elec_1 ) )
        | ( ( index @ ldr @ ( host @ SV58 ) )
         != ( host @ SV58 ) )
        | ~ ( setIn @ SV58 @ alive )
        | ( ( index @ status @ ( host @ SV58 ) )
         != norm ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[333]) ).

thf(419,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( leq @ SX0 @ SX1 )
            | ~ ( leq @ SX1 @ SX0 )
            | ( SX0 = SX1 ) )
      | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ( SX0 != SX1 )
                  | ( leq @ SX0 @ SX1 ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ( SX0 != SX1 )
                  | ( leq @ SX1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[334]) ).

thf(420,plain,
    ! [SV59: $i] :
      ( ( ~ ( ~ ! [SY406: $i,SY407: $i] :
                  ( ~ ( elem @ SV59 @ ( snoc @ SY407 @ SY406 ) )
                  | ( SV59 = SY406 )
                  | ( elem @ SV59 @ SY407 ) )
            | ~ ~ ( ~ ! [SY408: $i] :
                        ( ( SV59 != SY408 )
                        | ! [SY409: $i] : ( elem @ SV59 @ ( snoc @ SY409 @ SY408 ) ) )
                  | ~ ! [SY410: $i,SY411: $i] :
                        ( ~ ( elem @ SV59 @ SY411 )
                        | ( elem @ SV59 @ ( snoc @ SY411 @ SY410 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[335]) ).

thf(421,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( leq @ SX0 @ ( s @ SX1 ) )
            | ( SX0
              = ( s @ SX1 ) )
            | ( leq @ SX0 @ SX1 ) )
      | ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ( SX0
                   != ( s @ SX1 ) )
                  | ( leq @ SX0 @ ( s @ SX1 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( leq @ SX0 @ SX1 )
                  | ( leq @ SX0 @ ( s @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[336]) ).

thf(422,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( setIn @ SX0 @ alive )
            | ( ( index @ status @ ( host @ SX0 ) )
             != elec_1 )
            | ( ( index @ elid @ ( host @ SX0 ) )
              = SX0 ) )
      | ~ ! [SX0: $i] :
            ( ~ ( setIn @ SX0 @ alive )
            | ( ( index @ status @ ( host @ SX0 ) )
             != elec_2 )
            | ( ( index @ elid @ ( host @ SX0 ) )
              = SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[337]) ).

thf(423,plain,
    ! [SV60: $i] :
      ( ( ~ ( ~ ! [SY412: $i,SY413: $i] :
                  ( ~ ( elem @ SV60 @ ( cons @ SY412 @ SY413 ) )
                  | ( SV60 = SY412 )
                  | ( elem @ SV60 @ SY413 ) )
            | ~ ~ ( ~ ! [SY414: $i] :
                        ( ( SV60 != SY414 )
                        | ! [SY415: $i] : ( elem @ SV60 @ ( cons @ SY414 @ SY415 ) ) )
                  | ~ ! [SY416: $i,SY417: $i] :
                        ( ~ ( elem @ SV60 @ SY417 )
                        | ( elem @ SV60 @ ( cons @ SY416 @ SY417 ) ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[338]) ).

thf(424,plain,
    ! [SV61: $i,SV1: $i] :
      ( ( ( ( s @ ( host @ SV1 ) )
         != ( host @ SV61 ) )
        | ( ( host @ SV1 )
         != ( host @ SV61 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[339]) ).

thf(425,plain,
    ! [SV62: $i,SV4: $i] :
      ( ( ! [SY418: $i] :
            ( ( m_Ack @ SV4 @ SV62 )
           != ( m_Halt @ SY418 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[348]) ).

thf(426,plain,
    ! [SV63: $i,SV5: $i] :
      ( ( ! [SY419: $i] :
            ( ( m_Ack @ SV5 @ SV63 )
           != ( m_Down @ SY419 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[349]) ).

thf(427,plain,
    ! [SV64: $i,SV6: $i] :
      ( ( ! [SY420: $i] :
            ( ( m_Ack @ SV6 @ SV64 )
           != ( m_NotNorm @ SY420 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[350]) ).

thf(428,plain,
    ! [SV65: $i,SV7: $i] :
      ( ( ! [SY421: $i] :
            ( ( m_Ack @ SV7 @ SV65 )
           != ( m_Ldr @ SY421 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[351]) ).

thf(429,plain,
    ! [SV66: $i,SV8: $i] :
      ( ( ! [SY422: $i] :
            ( ( m_Ack @ SV8 @ SV66 )
           != ( m_NormQ @ SY422 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[352]) ).

thf(430,plain,
    ! [SV67: $i,SV9: $i] :
      ( ( ( ( m_NotNorm @ SV9 )
         != ( m_Halt @ SV67 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[353]) ).

thf(431,plain,
    ! [SV68: $i,SV10: $i] :
      ( ( ( ( m_Down @ SV10 )
         != ( m_Halt @ SV68 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[354]) ).

thf(432,plain,
    ! [SV69: $i,SV11: $i] :
      ( ( ( ( m_Down @ SV11 )
         != ( m_Ldr @ SV69 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[355]) ).

thf(433,plain,
    ! [SV70: $i,SV12: $i] :
      ( ( ( ( m_Down @ SV12 )
         != ( m_NotNorm @ SV70 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[356]) ).

thf(434,plain,
    ! [SV71: $i,SV13: $i] :
      ( ( ( ( m_Down @ SV13 )
         != ( m_NormQ @ SV71 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[357]) ).

thf(435,plain,
    ! [SV72: $i,SV14: $i] :
      ( ( ( ( m_NormQ @ SV14 )
         != ( m_Halt @ SV72 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[358]) ).

thf(436,plain,
    ! [SV73: $i,SV15: $i] :
      ( ( ( ( m_Ldr @ SV15 )
         != ( m_Halt @ SV73 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[359]) ).

thf(437,plain,
    ! [SV74: $i,SV16: $i] :
      ( ( ( ( m_Ldr @ SV16 )
         != ( m_NormQ @ SV74 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[360]) ).

thf(438,plain,
    ! [SV75: $i,SV17: $i] :
      ( ( ( ( m_Ldr @ SV17 )
         != ( m_NotNorm @ SV75 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[361]) ).

thf(439,plain,
    ! [SV76: $i,SV18: $i] :
      ( ( ( ( m_NormQ @ SV18 )
         != ( m_NotNorm @ SV76 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[362]) ).

thf(440,plain,
    ! [SV77: $i,SV19: $i] :
      ( ( ( SV19 = SV77 )
        | ! [SY423: $i,SY424: $i] :
            ( ( m_Ack @ SV19 @ SY423 )
           != ( m_Ack @ SV77 @ SY424 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[363]) ).

thf(441,plain,
    ! [SV78: $i,SV20: $i] :
      ( ( ! [SY425: $i,SY426: $i] :
            ( ( SY425 = SY426 )
            | ( ( m_Ack @ SV20 @ SY425 )
             != ( m_Ack @ SV78 @ SY426 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[364]) ).

thf(442,plain,
    ! [SV79: $i,SV21: $i] :
      ( ( ( ( host @ SV21 )
          = ( host @ SV79 ) )
        | ( SV21 != SV79 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[365]) ).

thf(443,plain,
    ! [SV80: $i,SV22: $i] :
      ( ( ( head @ ( cons @ SV22 @ SV80 ) )
        = SV22 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[367]) ).

thf(444,plain,
    ! [SV81: $i,SV23: $i] :
      ( ( ( tail @ ( cons @ SV23 @ SV81 ) )
        = SV81 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[368]) ).

thf(445,plain,
    ! [SV24: $i,SV82: $i] :
      ( ( ( last @ ( snoc @ SV82 @ SV24 ) )
        = SV24 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[369]) ).

thf(446,plain,
    ! [SV25: $i,SV83: $i] :
      ( ( ( init @ ( snoc @ SV83 @ SV25 ) )
        = SV83 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[370]) ).

thf(447,plain,
    ! [SV26: $i] :
      ( ( ( SV26 = q_nil )
        = $true )
      | ( ( SV26
          = ( cons @ ( head @ SV26 ) @ ( tail @ SV26 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[371]) ).

thf(448,plain,
    ! [SV27: $i] :
      ( ( ( SV27 = q_nil )
        = $true )
      | ( ( SV27
          = ( snoc @ ( init @ SV27 ) @ ( last @ SV27 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[372]) ).

thf(449,plain,
    ! [SV84: $i,SV28: $i] :
      ( ( ( q_nil
         != ( cons @ SV28 @ SV84 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[373]) ).

thf(450,plain,
    ! [SV29: $i,SV85: $i] :
      ( ( ( q_nil
         != ( snoc @ SV85 @ SV29 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[374]) ).

thf(451,plain,
    ! [SV86: $i,SV31: $i] :
      ( ( ! [SY427: $i] :
            ( ( snoc @ ( cons @ SV31 @ SY427 ) @ SV86 )
            = ( cons @ SV31 @ ( snoc @ SY427 @ SV86 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[376]) ).

thf(452,plain,
    ! [SV32: $i] :
      ( ( elem @ SV32 @ q_nil )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[377]) ).

thf(453,plain,
    ! [SV35: $i] :
      ( ( ( ~ ( ordered @ SV35 ) )
        = $true )
      | ( ( ! [SY376: $i,SY377: $i] : ( ordered @ ( snoc @ SV35 @ ( m_Ack @ SY376 @ SY377 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[380]) ).

thf(454,plain,
    ! [SV36: $i] :
      ( ( ( ~ ( ordered @ SV36 ) )
        = $true )
      | ( ( ! [SY378: $i] : ( ordered @ ( snoc @ SV36 @ ( m_Ldr @ SY378 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[381]) ).

thf(455,plain,
    ! [SV37: $i,SV87: $i] :
      ( ( ! [SY428: $i] :
            ( ( ( host @ SV87 )
             != ( host @ SY428 ) )
            | ~ ( ordered @ ( cons @ ( m_Halt @ SV87 ) @ SV37 ) )
            | ~ ( elem @ ( m_Down @ SY428 ) @ SV37 )
            | ( leq @ SV87 @ SY428 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[382]) ).

thf(456,plain,
    ! [SV38: $i] :
      ( ( leq @ ( s @ SV38 ) @ SV38 )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[383]) ).

thf(457,plain,
    ! [SV88: $i,SV40: $i] :
      ( ( ( leq @ SV40 @ SV88 )
        | ( leq @ SV88 @ SV40 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[385]) ).

thf(458,plain,
    ! [SV89: $i,SV41: $i] :
      ( ( ! [SY429: $i] :
            ( ~ ( leq @ SV41 @ SV89 )
            | ~ ( leq @ SV89 @ SY429 )
            | ( leq @ SV41 @ SY429 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[386]) ).

thf(459,plain,
    ! [SV42: $i] :
      ( ( setIn @ SV42 @ setEmpty )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[387]) ).

thf(460,plain,
    ! [SV43: $i] :
      ( ( ( ( leq @ ( host @ sK3_SY166 ) @ SV43 )
          | ~ ( leq @ ( s @ zero ) @ SV43 ) )
        = $true )
      | ( ( ( SV43
            = ( host @ sK4_SY254 ) )
          | ( setIn @ SV43 @ ( index @ down @ ( host @ sK3_SY166 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[389]) ).

thf(461,plain,
    ! [SV44: $i] :
      ( ( ( ! [SY384: $i,SY385: $i] :
              ( ~ ( elem @ ( m_Down @ SY384 ) @ ( queue @ ( host @ SY385 ) ) )
              | ~ ( setIn @ SY385 @ alive )
              | ( ( host @ SY384 )
               != ( host @ SV44 ) )
              | ( ( index @ status @ ( host @ SY385 ) )
               != elec_2 ) ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV44 ) )
           != ( host @ SV44 ) )
          | ~ ( setIn @ SV44 @ alive )
          | ( ( index @ status @ ( host @ SV44 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[391]) ).

thf(462,plain,
    ! [SV90: $i,SV45: $i] :
      ( ( ( leq @ ( host @ SV45 ) @ ( host @ SV90 ) )
        | ~ ( setIn @ SV45 @ alive )
        | ~ ( setIn @ SV90 @ alive )
        | ( ( index @ status @ ( host @ SV45 ) )
         != elec_2 )
        | ( ( index @ status @ ( host @ SV90 ) )
         != elec_2 )
        | ~ ( leq @ ( index @ pendack @ ( host @ SV45 ) ) @ ( index @ pendack @ ( host @ SV90 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[392]) ).

thf(463,plain,
    ! [SV46: $i] :
      ( ( ( ! [SY387: $i] :
              ( ( leq @ ( index @ pendack @ ( host @ SY387 ) ) @ ( host @ SV46 ) )
              | ~ ( setIn @ SY387 @ alive )
              | ( ( index @ status @ ( host @ SY387 ) )
               != elec_2 ) ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV46 ) )
           != ( host @ SV46 ) )
          | ~ ( setIn @ SV46 @ alive )
          | ( ( index @ status @ ( host @ SV46 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[393]) ).

thf(464,plain,
    ! [SV47: $i,SV91: $i] :
      ( ( ! [SY430: $i] :
            ( ( ( host @ SV91 )
             != ( host @ SY430 ) )
            | ~ ( setIn @ SY430 @ alive )
            | ( ( index @ status @ ( host @ SY430 ) )
             != norm )
            | ( ( index @ ldr @ ( host @ SY430 ) )
             != ( host @ SY430 ) ) )
        | ~ ( elem @ ( m_Down @ SV91 ) @ ( queue @ ( host @ SV47 ) ) )
        | ~ ( setIn @ SV47 @ alive ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[394]) ).

thf(465,plain,
    ! [SV92: $i,SV48: $i] :
      ( ( ! [SY431: $i] :
            ( ~ ( setIn @ SV48 @ alive )
            | ~ ( setIn @ SY431 @ alive )
            | ~ ( elem @ ( m_Down @ SV92 ) @ ( queue @ ( host @ SV48 ) ) )
            | ( ( host @ SY431 )
             != ( host @ SV92 ) )
            | ( ( index @ status @ ( host @ SY431 ) )
             != elec_2 )
            | ( leq @ ( index @ pendack @ ( host @ SY431 ) ) @ ( host @ SV48 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[395]) ).

thf(466,plain,
    ! [SV93: $i,SV49: $i] :
      ( ( ! [SY432: $i] :
            ( ~ ( setIn @ SV49 @ alive )
            | ~ ( setIn @ SY432 @ alive )
            | ( ( host @ SY432 )
             != ( host @ SV93 ) )
            | ( ( index @ status @ ( host @ SV49 ) )
             != elec_2 )
            | ( ( index @ status @ ( host @ SY432 ) )
             != elec_2 ) )
        | ~ ( elem @ ( m_Ack @ SV49 @ SV93 ) @ ( queue @ ( host @ SV49 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[396]) ).

thf(467,plain,
    ! [SV50: $i] :
      ( ( ( ! [SY394: $i] :
              ( ! [Pid0: $i] :
                  ( ~ ( elem @ ( m_Ack @ Pid0 @ SY394 ) @ ( queue @ ( host @ Pid0 ) ) )
                  | ~ ( setIn @ Pid0 @ alive ) )
              | ( ( host @ SY394 )
               != ( host @ SV50 ) ) ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV50 ) )
           != ( host @ SV50 ) )
          | ~ ( setIn @ SV50 @ alive )
          | ( ( index @ status @ ( host @ SV50 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[397]) ).

thf(468,plain,
    ! [SV94: $i,SV51: $i] :
      ( ( ( leq @ ( host @ SV51 ) @ ( host @ SV94 ) )
        | ~ ( setIn @ SV51 @ alive )
        | ~ ( setIn @ SV94 @ alive )
        | ( ( index @ status @ ( host @ SV51 ) )
         != elec_2 )
        | ( ( index @ status @ ( host @ SV94 ) )
         != elec_2 )
        | ( leq @ ( index @ pendack @ ( host @ SV94 ) ) @ ( host @ SV51 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[398]) ).

thf(469,plain,
    ! [SV95: $i,SV52: $i] :
      ( ( ! [SY433: $i] :
            ( ( leq @ ( host @ SY433 ) @ ( host @ SV52 ) )
            | ~ ( setIn @ SV52 @ alive )
            | ~ ( setIn @ SY433 @ alive )
            | ( ( host @ SY433 )
             != ( host @ SV95 ) )
            | ( ( index @ status @ ( host @ SY433 ) )
             != elec_2 ) )
        | ~ ( elem @ ( m_Down @ SV95 ) @ ( queue @ ( host @ SV52 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[399]) ).

thf(470,plain,
    ! [SV53: $i,SV96: $i] :
      ( ( ( ( index @ status @ ( host @ SV96 ) )
         != norm )
        | ~ ( setIn @ SV96 @ alive )
        | ( ( index @ ldr @ ( host @ SV96 ) )
         != ( host @ SV96 ) )
        | ~ ( setIn @ SV53 @ alive )
        | ~ ( setIn @ ( host @ SV96 ) @ ( index @ down @ ( host @ SV53 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[400]) ).

thf(471,plain,
    ! [SV97: $i,SV54: $i] :
      ( ( ~ ( setIn @ SV54 @ alive )
        | ~ ( setIn @ SV97 @ alive )
        | ~ ( setIn @ ( host @ SV97 ) @ ( index @ down @ ( host @ SV54 ) ) )
        | ( ( index @ status @ ( host @ SV97 ) )
         != elec_2 )
        | ( leq @ ( index @ pendack @ ( host @ SV97 ) ) @ ( host @ SV54 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[401]) ).

thf(472,plain,
    ! [SV55: $i,SV98: $i] :
      ( ( ( ( index @ status @ ( host @ SV98 ) )
         != elec_2 )
        | ~ ( setIn @ SV98 @ alive )
        | ~ ( elem @ ( m_Ack @ SV55 @ SV98 ) @ ( queue @ ( host @ SV55 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[402]) ).

thf(473,plain,
    ! [SV56: $i,SV99: $i] :
      ( ( ( SV99 = SV56 )
        | ( ( host @ SV99 )
         != ( host @ SV56 ) )
        | ~ ( setIn @ SV56 @ alive )
        | ~ ( setIn @ SV99 @ alive ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[403]) ).

thf(474,plain,
    ! [SV57: $i,SV100: $i] :
      ( ( ~ ( elem @ ( m_Ldr @ SV100 ) @ ( queue @ ( host @ SV57 ) ) )
        | ~ ( leq @ ( host @ SV57 ) @ ( host @ SV100 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[404]) ).

thf(475,plain,
    ( ( ~ ! [SX0: $i] : ( ordered @ ( cons @ SX0 @ q_nil ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[405]) ).

thf(476,plain,
    ( ( ~ ! [SX0: $i] : ( ordered @ ( snoc @ q_nil @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[405]) ).

thf(477,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 = SX1 )
            | ( ( m_Down @ SX0 )
             != ( m_Down @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[406]) ).

thf(478,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( ( m_Down @ SX0 )
              = ( m_Down @ SX1 ) )
            | ( SX0 != SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[406]) ).

thf(479,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( ~ ! [SX1: $i] :
                      ( SX0
                     != ( m_Halt @ SX1 ) )
                | ~ ! [SX1: $i] :
                      ( SX0
                     != ( m_Down @ SX1 ) ) )
            | ( pidElem @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[407]) ).

thf(480,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( pidElem @ SX0 )
            | ( SX0
              = ( m_Halt @ ( sK11_Y @ SX0 ) ) )
            | ( SX0
              = ( m_Down @ ( sK10_Y @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[407]) ).

thf(481,plain,
    ( ( ~ ( ( ( index @ ldr @ ( host @ sK3_SY166 ) )
           != ( host @ sK4_SY254 ) )
          | ( ( index @ status @ ( host @ sK3_SY166 ) )
           != norm ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[408]) ).

thf(482,plain,
    ( ( ~ ( ( ( index @ status @ ( host @ sK3_SY166 ) )
           != wait )
          | ( ( host @ sK4_SY254 )
           != ( host @ ( index @ elid @ ( host @ sK3_SY166 ) ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[408]) ).

thf(483,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK8_Y @ SX1 @ SX0 ) @ SX1 )
                                  | ~ ( pidElem @ SX0 ) )
                            | ~ ( pidElem @ ( sK8_Y @ SX1 @ SX0 ) ) )
                      | ( ( host @ ( pidMsg @ ( sK8_Y @ SX1 @ SX0 ) ) )
                       != ( host @ ( pidMsg @ SX0 ) ) ) )
                | ~ ~ ( leq @ ( pidMsg @ ( sK8_Y @ SX1 @ SX0 ) ) @ ( pidMsg @ SX0 ) ) )
            | ~ ( ordered @ SX1 )
            | ( ordered @ ( snoc @ SX1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[409]) ).

thf(484,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
                  | ! [SX2: $i] :
                      ( ~ ( elem @ SX2 @ SX1 )
                      | ~ ( pidElem @ SX0 )
                      | ~ ( pidElem @ SX2 )
                      | ( ( host @ ( pidMsg @ SX2 ) )
                       != ( host @ ( pidMsg @ SX0 ) ) )
                      | ( leq @ ( pidMsg @ SX2 ) @ ( pidMsg @ SX0 ) ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
                  | ( ordered @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[409]) ).

thf(485,plain,
    ( ( ~ ( ( ( host @ sK3_SY166 )
           != ( host @ sK5_SY295 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[410]) ).

thf(486,plain,
    ( ( ~ ~ ( ( ( host @ sK3_SY166 )
             != ( host @ sK6_SY339 ) )
            | ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY166 ) ) @ ( host @ sK5_SY295 ) )
                        | ~ ( setIn @ sK6_SY339 @ alive ) )
                  | ~ ~ ( ~ ~ ( ( ( index @ ldr @ ( host @ sK5_SY295 ) )
                               != ( host @ sK5_SY295 ) )
                              | ~ ( setIn @ sK5_SY295 @ alive ) )
                        | ( ( index @ status @ ( host @ sK5_SY295 ) )
                         != norm ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[410]) ).

thf(487,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 = SX1 )
            | ( ( m_Ldr @ SX0 )
             != ( m_Ldr @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[411]) ).

thf(488,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( ( m_Ldr @ SX0 )
              = ( m_Ldr @ SX1 ) )
            | ( SX0 != SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[411]) ).

thf(489,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 = SX1 )
            | ( ( m_NotNorm @ SX0 )
             != ( m_NotNorm @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[412]) ).

thf(490,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( ( m_NotNorm @ SX0 )
              = ( m_NotNorm @ SX1 ) )
            | ( SX0 != SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[412]) ).

thf(491,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK9_Y @ SX1 @ SX0 ) @ SX1 )
                                  | ~ ( pidElem @ SX0 ) )
                            | ~ ( pidElem @ ( sK9_Y @ SX1 @ SX0 ) ) )
                      | ( ( host @ ( pidMsg @ ( sK9_Y @ SX1 @ SX0 ) ) )
                       != ( host @ ( pidMsg @ SX0 ) ) ) )
                | ~ ~ ( leq @ ( pidMsg @ SX0 ) @ ( pidMsg @ ( sK9_Y @ SX1 @ SX0 ) ) ) )
            | ~ ( ordered @ SX1 )
            | ( ordered @ ( cons @ SX0 @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[413]) ).

thf(492,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
                  | ! [SX2: $i] :
                      ( ~ ( elem @ SX2 @ SX1 )
                      | ~ ( pidElem @ SX0 )
                      | ~ ( pidElem @ SX2 )
                      | ( ( host @ ( pidMsg @ SX2 ) )
                       != ( host @ ( pidMsg @ SX0 ) ) )
                      | ( leq @ ( pidMsg @ SX0 ) @ ( pidMsg @ SX2 ) ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
                  | ( ordered @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[413]) ).

thf(493,plain,
    ( ( ~ ! [SX0: $i] :
            ( ! [SX1: $i] :
                ~ ( elem @ ( m_Ack @ SX0 @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
            | ( setIn @ SX0 @ pids ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[414]) ).

thf(494,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( elem @ ( m_Ack @ SX0 @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
            | ( setIn @ SX1 @ pids ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[414]) ).

thf(495,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( leq @ SX0 @ SX1 )
            | ( leq @ ( s @ SX0 ) @ ( s @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[415]) ).

thf(496,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( leq @ ( s @ SX0 ) @ ( s @ SX1 ) )
            | ( leq @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[415]) ).

thf(497,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 = SX1 )
            | ( ( m_Halt @ SX0 )
             != ( m_Halt @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[416]) ).

thf(498,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( ( m_Halt @ SX0 )
              = ( m_Halt @ SX1 ) )
            | ( SX0 != SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[416]) ).

thf(499,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 = SX1 )
            | ( ( m_NormQ @ SX0 )
             != ( m_NormQ @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[417]) ).

thf(500,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( ( m_NormQ @ SX0 )
              = ( m_NormQ @ SX1 ) )
            | ( SX0 != SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[417]) ).

thf(501,plain,
    ! [SV58: $i] :
      ( ( ( ! [SY404: $i,SY405: $i] :
              ( ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SY405 ) @ ( sK7_V0 @ SY405 @ SY404 @ SV58 ) )
                        | ~ ( leq @ ( s @ zero ) @ ( sK7_V0 @ SY405 @ SY404 @ SV58 ) ) )
                  | ~ ~ ( ~ ( ( ( sK7_V0 @ SY405 @ SY404 @ SV58 )
                             != ( host @ SY404 ) ) )
                        | ~ ~ ( setIn @ ( sK7_V0 @ SY405 @ SY404 @ SV58 ) @ ( index @ down @ ( host @ SY405 ) ) ) ) )
              | ( leq @ ( host @ SY405 ) @ ( host @ SV58 ) )
              | ~ ( elem @ ( m_Down @ SY404 ) @ ( queue @ ( host @ SY405 ) ) )
              | ( ( index @ status @ ( host @ SY405 ) )
               != elec_1 ) ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[418]) ).

thf(502,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( leq @ SX0 @ SX1 )
            | ~ ( leq @ SX1 @ SX0 )
            | ( SX0 = SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[419]) ).

thf(503,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ( SX0 != SX1 )
                  | ( leq @ SX0 @ SX1 ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ( SX0 != SX1 )
                  | ( leq @ SX1 @ SX0 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[419]) ).

thf(504,plain,
    ! [SV59: $i] :
      ( ( ~ ! [SY406: $i,SY407: $i] :
              ( ~ ( elem @ SV59 @ ( snoc @ SY407 @ SY406 ) )
              | ( SV59 = SY406 )
              | ( elem @ SV59 @ SY407 ) )
        | ~ ~ ( ~ ! [SY408: $i] :
                    ( ( SV59 != SY408 )
                    | ! [SY409: $i] : ( elem @ SV59 @ ( snoc @ SY409 @ SY408 ) ) )
              | ~ ! [SY410: $i,SY411: $i] :
                    ( ~ ( elem @ SV59 @ SY411 )
                    | ( elem @ SV59 @ ( snoc @ SY411 @ SY410 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[420]) ).

thf(505,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( leq @ SX0 @ ( s @ SX1 ) )
            | ( SX0
              = ( s @ SX1 ) )
            | ( leq @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[421]) ).

thf(506,plain,
    ( ( ~ ~ ( ~ ! [SX0: $i,SX1: $i] :
                  ( ( SX0
                   != ( s @ SX1 ) )
                  | ( leq @ SX0 @ ( s @ SX1 ) ) )
            | ~ ! [SX0: $i,SX1: $i] :
                  ( ~ ( leq @ SX0 @ SX1 )
                  | ( leq @ SX0 @ ( s @ SX1 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[421]) ).

thf(507,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( setIn @ SX0 @ alive )
            | ( ( index @ status @ ( host @ SX0 ) )
             != elec_1 )
            | ( ( index @ elid @ ( host @ SX0 ) )
              = SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[422]) ).

thf(508,plain,
    ( ( ~ ! [SX0: $i] :
            ( ~ ( setIn @ SX0 @ alive )
            | ( ( index @ status @ ( host @ SX0 ) )
             != elec_2 )
            | ( ( index @ elid @ ( host @ SX0 ) )
              = SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[422]) ).

thf(509,plain,
    ! [SV60: $i] :
      ( ( ~ ! [SY412: $i,SY413: $i] :
              ( ~ ( elem @ SV60 @ ( cons @ SY412 @ SY413 ) )
              | ( SV60 = SY412 )
              | ( elem @ SV60 @ SY413 ) )
        | ~ ~ ( ~ ! [SY414: $i] :
                    ( ( SV60 != SY414 )
                    | ! [SY415: $i] : ( elem @ SV60 @ ( cons @ SY414 @ SY415 ) ) )
              | ~ ! [SY416: $i,SY417: $i] :
                    ( ~ ( elem @ SV60 @ SY417 )
                    | ( elem @ SV60 @ ( cons @ SY416 @ SY417 ) ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[423]) ).

thf(510,plain,
    ! [SV61: $i,SV1: $i] :
      ( ( ( ( ( s @ ( host @ SV1 ) )
           != ( host @ SV61 ) ) )
        = $true )
      | ( ( ( ( host @ SV1 )
           != ( host @ SV61 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[424]) ).

thf(511,plain,
    ! [SV101: $i,SV62: $i,SV4: $i] :
      ( ( ( ( m_Ack @ SV4 @ SV62 )
         != ( m_Halt @ SV101 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[425]) ).

thf(512,plain,
    ! [SV102: $i,SV63: $i,SV5: $i] :
      ( ( ( ( m_Ack @ SV5 @ SV63 )
         != ( m_Down @ SV102 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[426]) ).

thf(513,plain,
    ! [SV103: $i,SV64: $i,SV6: $i] :
      ( ( ( ( m_Ack @ SV6 @ SV64 )
         != ( m_NotNorm @ SV103 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[427]) ).

thf(514,plain,
    ! [SV104: $i,SV65: $i,SV7: $i] :
      ( ( ( ( m_Ack @ SV7 @ SV65 )
         != ( m_Ldr @ SV104 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[428]) ).

thf(515,plain,
    ! [SV105: $i,SV66: $i,SV8: $i] :
      ( ( ( ( m_Ack @ SV8 @ SV66 )
         != ( m_NormQ @ SV105 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[429]) ).

thf(516,plain,
    ! [SV67: $i,SV9: $i] :
      ( ( ( m_NotNorm @ SV9 )
        = ( m_Halt @ SV67 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[430]) ).

thf(517,plain,
    ! [SV68: $i,SV10: $i] :
      ( ( ( m_Down @ SV10 )
        = ( m_Halt @ SV68 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[431]) ).

thf(518,plain,
    ! [SV69: $i,SV11: $i] :
      ( ( ( m_Down @ SV11 )
        = ( m_Ldr @ SV69 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[432]) ).

thf(519,plain,
    ! [SV70: $i,SV12: $i] :
      ( ( ( m_Down @ SV12 )
        = ( m_NotNorm @ SV70 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[433]) ).

thf(520,plain,
    ! [SV71: $i,SV13: $i] :
      ( ( ( m_Down @ SV13 )
        = ( m_NormQ @ SV71 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[434]) ).

thf(521,plain,
    ! [SV72: $i,SV14: $i] :
      ( ( ( m_NormQ @ SV14 )
        = ( m_Halt @ SV72 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[435]) ).

thf(522,plain,
    ! [SV73: $i,SV15: $i] :
      ( ( ( m_Ldr @ SV15 )
        = ( m_Halt @ SV73 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[436]) ).

thf(523,plain,
    ! [SV74: $i,SV16: $i] :
      ( ( ( m_Ldr @ SV16 )
        = ( m_NormQ @ SV74 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[437]) ).

thf(524,plain,
    ! [SV75: $i,SV17: $i] :
      ( ( ( m_Ldr @ SV17 )
        = ( m_NotNorm @ SV75 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[438]) ).

thf(525,plain,
    ! [SV76: $i,SV18: $i] :
      ( ( ( m_NormQ @ SV18 )
        = ( m_NotNorm @ SV76 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[439]) ).

thf(526,plain,
    ! [SV77: $i,SV19: $i] :
      ( ( ( SV19 = SV77 )
        = $true )
      | ( ( ! [SY423: $i,SY424: $i] :
              ( ( m_Ack @ SV19 @ SY423 )
             != ( m_Ack @ SV77 @ SY424 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[440]) ).

thf(527,plain,
    ! [SV78: $i,SV20: $i,SV106: $i] :
      ( ( ! [SY434: $i] :
            ( ( SV106 = SY434 )
            | ( ( m_Ack @ SV20 @ SV106 )
             != ( m_Ack @ SV78 @ SY434 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[441]) ).

thf(528,plain,
    ! [SV79: $i,SV21: $i] :
      ( ( ( ( host @ SV21 )
          = ( host @ SV79 ) )
        = $true )
      | ( ( ( SV21 != SV79 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[442]) ).

thf(529,plain,
    ! [SV84: $i,SV28: $i] :
      ( ( q_nil
        = ( cons @ SV28 @ SV84 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[449]) ).

thf(530,plain,
    ! [SV29: $i,SV85: $i] :
      ( ( q_nil
        = ( snoc @ SV85 @ SV29 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[450]) ).

thf(531,plain,
    ! [SV86: $i,SV107: $i,SV31: $i] :
      ( ( ( snoc @ ( cons @ SV31 @ SV107 ) @ SV86 )
        = ( cons @ SV31 @ ( snoc @ SV107 @ SV86 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[451]) ).

thf(532,plain,
    ! [SV35: $i] :
      ( ( ( ordered @ SV35 )
        = $false )
      | ( ( ! [SY376: $i,SY377: $i] : ( ordered @ ( snoc @ SV35 @ ( m_Ack @ SY376 @ SY377 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[453]) ).

thf(533,plain,
    ! [SV36: $i] :
      ( ( ( ordered @ SV36 )
        = $false )
      | ( ( ! [SY378: $i] : ( ordered @ ( snoc @ SV36 @ ( m_Ldr @ SY378 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[454]) ).

thf(534,plain,
    ! [SV37: $i,SV108: $i,SV87: $i] :
      ( ( ( ( host @ SV87 )
         != ( host @ SV108 ) )
        | ~ ( ordered @ ( cons @ ( m_Halt @ SV87 ) @ SV37 ) )
        | ~ ( elem @ ( m_Down @ SV108 ) @ SV37 )
        | ( leq @ SV87 @ SV108 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[455]) ).

thf(535,plain,
    ! [SV88: $i,SV40: $i] :
      ( ( ( leq @ SV40 @ SV88 )
        = $true )
      | ( ( leq @ SV88 @ SV40 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[457]) ).

thf(536,plain,
    ! [SV109: $i,SV89: $i,SV41: $i] :
      ( ( ~ ( leq @ SV41 @ SV89 )
        | ~ ( leq @ SV89 @ SV109 )
        | ( leq @ SV41 @ SV109 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[458]) ).

thf(537,plain,
    ! [SV43: $i] :
      ( ( ( leq @ ( host @ sK3_SY166 ) @ SV43 )
        = $true )
      | ( ( ~ ( leq @ ( s @ zero ) @ SV43 ) )
        = $true )
      | ( ( ( SV43
            = ( host @ sK4_SY254 ) )
          | ( setIn @ SV43 @ ( index @ down @ ( host @ sK3_SY166 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[460]) ).

thf(538,plain,
    ! [SV44: $i,SV110: $i] :
      ( ( ( ! [SY435: $i] :
              ( ~ ( elem @ ( m_Down @ SV110 ) @ ( queue @ ( host @ SY435 ) ) )
              | ~ ( setIn @ SY435 @ alive )
              | ( ( host @ SV110 )
               != ( host @ SV44 ) )
              | ( ( index @ status @ ( host @ SY435 ) )
               != elec_2 ) ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV44 ) )
           != ( host @ SV44 ) )
          | ~ ( setIn @ SV44 @ alive )
          | ( ( index @ status @ ( host @ SV44 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[461]) ).

thf(539,plain,
    ! [SV90: $i,SV45: $i] :
      ( ( ( ( leq @ ( host @ SV45 ) @ ( host @ SV90 ) )
          | ~ ( setIn @ SV45 @ alive )
          | ~ ( setIn @ SV90 @ alive )
          | ( ( index @ status @ ( host @ SV45 ) )
           != elec_2 )
          | ( ( index @ status @ ( host @ SV90 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV45 ) ) @ ( index @ pendack @ ( host @ SV90 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[462]) ).

thf(540,plain,
    ! [SV46: $i,SV111: $i] :
      ( ( ( ( leq @ ( index @ pendack @ ( host @ SV111 ) ) @ ( host @ SV46 ) )
          | ~ ( setIn @ SV111 @ alive )
          | ( ( index @ status @ ( host @ SV111 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV46 ) )
           != ( host @ SV46 ) )
          | ~ ( setIn @ SV46 @ alive )
          | ( ( index @ status @ ( host @ SV46 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[463]) ).

thf(541,plain,
    ! [SV47: $i,SV91: $i] :
      ( ( ( ! [SY430: $i] :
              ( ( ( host @ SV91 )
               != ( host @ SY430 ) )
              | ~ ( setIn @ SY430 @ alive )
              | ( ( index @ status @ ( host @ SY430 ) )
               != norm )
              | ( ( index @ ldr @ ( host @ SY430 ) )
               != ( host @ SY430 ) ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV91 ) @ ( queue @ ( host @ SV47 ) ) )
          | ~ ( setIn @ SV47 @ alive ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[464]) ).

thf(542,plain,
    ! [SV92: $i,SV112: $i,SV48: $i] :
      ( ( ~ ( setIn @ SV48 @ alive )
        | ~ ( setIn @ SV112 @ alive )
        | ~ ( elem @ ( m_Down @ SV92 ) @ ( queue @ ( host @ SV48 ) ) )
        | ( ( host @ SV112 )
         != ( host @ SV92 ) )
        | ( ( index @ status @ ( host @ SV112 ) )
         != elec_2 )
        | ( leq @ ( index @ pendack @ ( host @ SV112 ) ) @ ( host @ SV48 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[465]) ).

thf(543,plain,
    ! [SV93: $i,SV49: $i] :
      ( ( ( ! [SY432: $i] :
              ( ~ ( setIn @ SV49 @ alive )
              | ~ ( setIn @ SY432 @ alive )
              | ( ( host @ SY432 )
               != ( host @ SV93 ) )
              | ( ( index @ status @ ( host @ SV49 ) )
               != elec_2 )
              | ( ( index @ status @ ( host @ SY432 ) )
               != elec_2 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV49 @ SV93 ) @ ( queue @ ( host @ SV49 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[466]) ).

thf(544,plain,
    ! [SV50: $i,SV113: $i] :
      ( ( ( ! [SY436: $i] :
              ( ~ ( elem @ ( m_Ack @ SY436 @ SV113 ) @ ( queue @ ( host @ SY436 ) ) )
              | ~ ( setIn @ SY436 @ alive ) )
          | ( ( host @ SV113 )
           != ( host @ SV50 ) ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV50 ) )
           != ( host @ SV50 ) )
          | ~ ( setIn @ SV50 @ alive )
          | ( ( index @ status @ ( host @ SV50 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[467]) ).

thf(545,plain,
    ! [SV94: $i,SV51: $i] :
      ( ( ( ( leq @ ( host @ SV51 ) @ ( host @ SV94 ) )
          | ~ ( setIn @ SV51 @ alive )
          | ~ ( setIn @ SV94 @ alive )
          | ( ( index @ status @ ( host @ SV51 ) )
           != elec_2 )
          | ( ( index @ status @ ( host @ SV94 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV94 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[468]) ).

thf(546,plain,
    ! [SV95: $i,SV52: $i] :
      ( ( ( ! [SY433: $i] :
              ( ( leq @ ( host @ SY433 ) @ ( host @ SV52 ) )
              | ~ ( setIn @ SV52 @ alive )
              | ~ ( setIn @ SY433 @ alive )
              | ( ( host @ SY433 )
               != ( host @ SV95 ) )
              | ( ( index @ status @ ( host @ SY433 ) )
               != elec_2 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV95 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[469]) ).

thf(547,plain,
    ! [SV53: $i,SV96: $i] :
      ( ( ( ( ( index @ status @ ( host @ SV96 ) )
           != norm )
          | ~ ( setIn @ SV96 @ alive )
          | ( ( index @ ldr @ ( host @ SV96 ) )
           != ( host @ SV96 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV53 @ alive )
          | ~ ( setIn @ ( host @ SV96 ) @ ( index @ down @ ( host @ SV53 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[470]) ).

thf(548,plain,
    ! [SV97: $i,SV54: $i] :
      ( ( ( ~ ( setIn @ SV54 @ alive )
          | ~ ( setIn @ SV97 @ alive )
          | ~ ( setIn @ ( host @ SV97 ) @ ( index @ down @ ( host @ SV54 ) ) )
          | ( ( index @ status @ ( host @ SV97 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV97 ) ) @ ( host @ SV54 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[471]) ).

thf(549,plain,
    ! [SV55: $i,SV98: $i] :
      ( ( ( ( ( index @ status @ ( host @ SV98 ) )
           != elec_2 )
          | ~ ( setIn @ SV98 @ alive ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV55 @ SV98 ) @ ( queue @ ( host @ SV55 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[472]) ).

thf(550,plain,
    ! [SV56: $i,SV99: $i] :
      ( ( ( ( SV99 = SV56 )
          | ( ( host @ SV99 )
           != ( host @ SV56 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV56 @ alive )
          | ~ ( setIn @ SV99 @ alive ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[473]) ).

thf(551,plain,
    ! [SV57: $i,SV100: $i] :
      ( ( ( ~ ( elem @ ( m_Ldr @ SV100 ) @ ( queue @ ( host @ SV57 ) ) ) )
        = $true )
      | ( ( ~ ( leq @ ( host @ SV57 ) @ ( host @ SV100 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[474]) ).

thf(552,plain,
    ( ( ! [SX0: $i] : ( ordered @ ( cons @ SX0 @ q_nil ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[475]) ).

thf(553,plain,
    ( ( ! [SX0: $i] : ( ordered @ ( snoc @ q_nil @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[476]) ).

thf(554,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 = SX1 )
          | ( ( m_Down @ SX0 )
           != ( m_Down @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[477]) ).

thf(555,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( ( m_Down @ SX0 )
            = ( m_Down @ SX1 ) )
          | ( SX0 != SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[478]) ).

thf(556,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( ~ ! [SX1: $i] :
                    ( SX0
                   != ( m_Halt @ SX1 ) )
              | ~ ! [SX1: $i] :
                    ( SX0
                   != ( m_Down @ SX1 ) ) )
          | ( pidElem @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[479]) ).

thf(557,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( pidElem @ SX0 )
          | ( SX0
            = ( m_Halt @ ( sK11_Y @ SX0 ) ) )
          | ( SX0
            = ( m_Down @ ( sK10_Y @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[480]) ).

thf(558,plain,
    ( ( ( ( index @ ldr @ ( host @ sK3_SY166 ) )
       != ( host @ sK4_SY254 ) )
      | ( ( index @ status @ ( host @ sK3_SY166 ) )
       != norm ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[481]) ).

thf(559,plain,
    ( ( ( ( index @ status @ ( host @ sK3_SY166 ) )
       != wait )
      | ( ( host @ sK4_SY254 )
       != ( host @ ( index @ elid @ ( host @ sK3_SY166 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[482]) ).

thf(560,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK8_Y @ SX1 @ SX0 ) @ SX1 )
                                | ~ ( pidElem @ SX0 ) )
                          | ~ ( pidElem @ ( sK8_Y @ SX1 @ SX0 ) ) )
                    | ( ( host @ ( pidMsg @ ( sK8_Y @ SX1 @ SX0 ) ) )
                     != ( host @ ( pidMsg @ SX0 ) ) ) )
              | ~ ~ ( leq @ ( pidMsg @ ( sK8_Y @ SX1 @ SX0 ) ) @ ( pidMsg @ SX0 ) ) )
          | ~ ( ordered @ SX1 )
          | ( ordered @ ( snoc @ SX1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[483]) ).

thf(561,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
                | ! [SX2: $i] :
                    ( ~ ( elem @ SX2 @ SX1 )
                    | ~ ( pidElem @ SX0 )
                    | ~ ( pidElem @ SX2 )
                    | ( ( host @ ( pidMsg @ SX2 ) )
                     != ( host @ ( pidMsg @ SX0 ) ) )
                    | ( leq @ ( pidMsg @ SX2 ) @ ( pidMsg @ SX0 ) ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
                | ( ordered @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[484]) ).

thf(562,plain,
    ( ( ( ( host @ sK3_SY166 )
       != ( host @ sK5_SY295 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[485]) ).

thf(563,plain,
    ( ( ~ ( ( ( host @ sK3_SY166 )
           != ( host @ sK6_SY339 ) )
          | ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY166 ) ) @ ( host @ sK5_SY295 ) )
                      | ~ ( setIn @ sK6_SY339 @ alive ) )
                | ~ ~ ( ~ ~ ( ( ( index @ ldr @ ( host @ sK5_SY295 ) )
                             != ( host @ sK5_SY295 ) )
                            | ~ ( setIn @ sK5_SY295 @ alive ) )
                      | ( ( index @ status @ ( host @ sK5_SY295 ) )
                       != norm ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[486]) ).

thf(564,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 = SX1 )
          | ( ( m_Ldr @ SX0 )
           != ( m_Ldr @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[487]) ).

thf(565,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( ( m_Ldr @ SX0 )
            = ( m_Ldr @ SX1 ) )
          | ( SX0 != SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[488]) ).

thf(566,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 = SX1 )
          | ( ( m_NotNorm @ SX0 )
           != ( m_NotNorm @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[489]) ).

thf(567,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( ( m_NotNorm @ SX0 )
            = ( m_NotNorm @ SX1 ) )
          | ( SX0 != SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[490]) ).

thf(568,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK9_Y @ SX1 @ SX0 ) @ SX1 )
                                | ~ ( pidElem @ SX0 ) )
                          | ~ ( pidElem @ ( sK9_Y @ SX1 @ SX0 ) ) )
                    | ( ( host @ ( pidMsg @ ( sK9_Y @ SX1 @ SX0 ) ) )
                     != ( host @ ( pidMsg @ SX0 ) ) ) )
              | ~ ~ ( leq @ ( pidMsg @ SX0 ) @ ( pidMsg @ ( sK9_Y @ SX1 @ SX0 ) ) ) )
          | ~ ( ordered @ SX1 )
          | ( ordered @ ( cons @ SX0 @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[491]) ).

thf(569,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
                | ! [SX2: $i] :
                    ( ~ ( elem @ SX2 @ SX1 )
                    | ~ ( pidElem @ SX0 )
                    | ~ ( pidElem @ SX2 )
                    | ( ( host @ ( pidMsg @ SX2 ) )
                     != ( host @ ( pidMsg @ SX0 ) ) )
                    | ( leq @ ( pidMsg @ SX0 ) @ ( pidMsg @ SX2 ) ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
                | ( ordered @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[492]) ).

thf(570,plain,
    ( ( ! [SX0: $i] :
          ( ! [SX1: $i] :
              ~ ( elem @ ( m_Ack @ SX0 @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
          | ( setIn @ SX0 @ pids ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[493]) ).

thf(571,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( elem @ ( m_Ack @ SX0 @ SX1 ) @ ( queue @ ( host @ SX0 ) ) )
          | ( setIn @ SX1 @ pids ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[494]) ).

thf(572,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( leq @ SX0 @ SX1 )
          | ( leq @ ( s @ SX0 ) @ ( s @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[495]) ).

thf(573,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( leq @ ( s @ SX0 ) @ ( s @ SX1 ) )
          | ( leq @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[496]) ).

thf(574,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 = SX1 )
          | ( ( m_Halt @ SX0 )
           != ( m_Halt @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[497]) ).

thf(575,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( ( m_Halt @ SX0 )
            = ( m_Halt @ SX1 ) )
          | ( SX0 != SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[498]) ).

thf(576,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 = SX1 )
          | ( ( m_NormQ @ SX0 )
           != ( m_NormQ @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[499]) ).

thf(577,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( ( m_NormQ @ SX0 )
            = ( m_NormQ @ SX1 ) )
          | ( SX0 != SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[500]) ).

thf(578,plain,
    ! [SV58: $i,SV114: $i] :
      ( ( ( ! [SY437: $i] :
              ( ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SY437 ) @ ( sK7_V0 @ SY437 @ SV114 @ SV58 ) )
                        | ~ ( leq @ ( s @ zero ) @ ( sK7_V0 @ SY437 @ SV114 @ SV58 ) ) )
                  | ~ ~ ( ~ ( ( ( sK7_V0 @ SY437 @ SV114 @ SV58 )
                             != ( host @ SV114 ) ) )
                        | ~ ~ ( setIn @ ( sK7_V0 @ SY437 @ SV114 @ SV58 ) @ ( index @ down @ ( host @ SY437 ) ) ) ) )
              | ( leq @ ( host @ SY437 ) @ ( host @ SV58 ) )
              | ~ ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SY437 ) ) )
              | ( ( index @ status @ ( host @ SY437 ) )
               != elec_1 ) ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[501]) ).

thf(579,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( leq @ SX0 @ SX1 )
          | ~ ( leq @ SX1 @ SX0 )
          | ( SX0 = SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[502]) ).

thf(580,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0 != SX1 )
                | ( leq @ SX0 @ SX1 ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0 != SX1 )
                | ( leq @ SX1 @ SX0 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[503]) ).

thf(581,plain,
    ! [SV59: $i] :
      ( ( ~ ! [SY406: $i,SY407: $i] :
              ( ~ ( elem @ SV59 @ ( snoc @ SY407 @ SY406 ) )
              | ( SV59 = SY406 )
              | ( elem @ SV59 @ SY407 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[504]) ).

thf(582,plain,
    ! [SV59: $i] :
      ( ( ~ ~ ( ~ ! [SY408: $i] :
                    ( ( SV59 != SY408 )
                    | ! [SY409: $i] : ( elem @ SV59 @ ( snoc @ SY409 @ SY408 ) ) )
              | ~ ! [SY410: $i,SY411: $i] :
                    ( ~ ( elem @ SV59 @ SY411 )
                    | ( elem @ SV59 @ ( snoc @ SY411 @ SY410 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[504]) ).

thf(583,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( leq @ SX0 @ ( s @ SX1 ) )
          | ( SX0
            = ( s @ SX1 ) )
          | ( leq @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[505]) ).

thf(584,plain,
    ( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
                ( ( SX0
                 != ( s @ SX1 ) )
                | ( leq @ SX0 @ ( s @ SX1 ) ) )
          | ~ ! [SX0: $i,SX1: $i] :
                ( ~ ( leq @ SX0 @ SX1 )
                | ( leq @ SX0 @ ( s @ SX1 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[506]) ).

thf(585,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( setIn @ SX0 @ alive )
          | ( ( index @ status @ ( host @ SX0 ) )
           != elec_1 )
          | ( ( index @ elid @ ( host @ SX0 ) )
            = SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[507]) ).

thf(586,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( setIn @ SX0 @ alive )
          | ( ( index @ status @ ( host @ SX0 ) )
           != elec_2 )
          | ( ( index @ elid @ ( host @ SX0 ) )
            = SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[508]) ).

thf(587,plain,
    ! [SV60: $i] :
      ( ( ~ ! [SY412: $i,SY413: $i] :
              ( ~ ( elem @ SV60 @ ( cons @ SY412 @ SY413 ) )
              | ( SV60 = SY412 )
              | ( elem @ SV60 @ SY413 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[509]) ).

thf(588,plain,
    ! [SV60: $i] :
      ( ( ~ ~ ( ~ ! [SY414: $i] :
                    ( ( SV60 != SY414 )
                    | ! [SY415: $i] : ( elem @ SV60 @ ( cons @ SY414 @ SY415 ) ) )
              | ~ ! [SY416: $i,SY417: $i] :
                    ( ~ ( elem @ SV60 @ SY417 )
                    | ( elem @ SV60 @ ( cons @ SY416 @ SY417 ) ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[509]) ).

thf(589,plain,
    ! [SV61: $i,SV1: $i] :
      ( ( ( ( s @ ( host @ SV1 ) )
          = ( host @ SV61 ) )
        = $false )
      | ( ( ( ( host @ SV1 )
           != ( host @ SV61 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[510]) ).

thf(590,plain,
    ! [SV101: $i,SV62: $i,SV4: $i] :
      ( ( ( m_Ack @ SV4 @ SV62 )
        = ( m_Halt @ SV101 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[511]) ).

thf(591,plain,
    ! [SV102: $i,SV63: $i,SV5: $i] :
      ( ( ( m_Ack @ SV5 @ SV63 )
        = ( m_Down @ SV102 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[512]) ).

thf(592,plain,
    ! [SV103: $i,SV64: $i,SV6: $i] :
      ( ( ( m_Ack @ SV6 @ SV64 )
        = ( m_NotNorm @ SV103 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[513]) ).

thf(593,plain,
    ! [SV104: $i,SV65: $i,SV7: $i] :
      ( ( ( m_Ack @ SV7 @ SV65 )
        = ( m_Ldr @ SV104 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[514]) ).

thf(594,plain,
    ! [SV105: $i,SV66: $i,SV8: $i] :
      ( ( ( m_Ack @ SV8 @ SV66 )
        = ( m_NormQ @ SV105 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[515]) ).

thf(595,plain,
    ! [SV77: $i,SV115: $i,SV19: $i] :
      ( ( ( ! [SY438: $i] :
              ( ( m_Ack @ SV19 @ SV115 )
             != ( m_Ack @ SV77 @ SY438 ) ) )
        = $true )
      | ( ( SV19 = SV77 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[526]) ).

thf(596,plain,
    ! [SV78: $i,SV20: $i,SV116: $i,SV106: $i] :
      ( ( ( SV106 = SV116 )
        | ( ( m_Ack @ SV20 @ SV106 )
         != ( m_Ack @ SV78 @ SV116 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[527]) ).

thf(597,plain,
    ! [SV79: $i,SV21: $i] :
      ( ( ( SV21 = SV79 )
        = $false )
      | ( ( ( host @ SV21 )
          = ( host @ SV79 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[528]) ).

thf(598,plain,
    ! [SV117: $i,SV35: $i] :
      ( ( ( ! [SY439: $i] : ( ordered @ ( snoc @ SV35 @ ( m_Ack @ SV117 @ SY439 ) ) ) )
        = $true )
      | ( ( ordered @ SV35 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[532]) ).

thf(599,plain,
    ! [SV118: $i,SV36: $i] :
      ( ( ( ordered @ ( snoc @ SV36 @ ( m_Ldr @ SV118 ) ) )
        = $true )
      | ( ( ordered @ SV36 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[533]) ).

thf(600,plain,
    ! [SV37: $i,SV108: $i,SV87: $i] :
      ( ( ( ( ( host @ SV87 )
           != ( host @ SV108 ) )
          | ~ ( ordered @ ( cons @ ( m_Halt @ SV87 ) @ SV37 ) )
          | ~ ( elem @ ( m_Down @ SV108 ) @ SV37 ) )
        = $true )
      | ( ( leq @ SV87 @ SV108 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[534]) ).

thf(601,plain,
    ! [SV109: $i,SV89: $i,SV41: $i] :
      ( ( ( ~ ( leq @ SV41 @ SV89 )
          | ~ ( leq @ SV89 @ SV109 ) )
        = $true )
      | ( ( leq @ SV41 @ SV109 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[536]) ).

thf(602,plain,
    ! [SV43: $i] :
      ( ( ( leq @ ( s @ zero ) @ SV43 )
        = $false )
      | ( ( leq @ ( host @ sK3_SY166 ) @ SV43 )
        = $true )
      | ( ( ( SV43
            = ( host @ sK4_SY254 ) )
          | ( setIn @ SV43 @ ( index @ down @ ( host @ sK3_SY166 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[537]) ).

thf(603,plain,
    ! [SV44: $i,SV119: $i,SV110: $i] :
      ( ( ( ~ ( elem @ ( m_Down @ SV110 ) @ ( queue @ ( host @ SV119 ) ) )
          | ~ ( setIn @ SV119 @ alive )
          | ( ( host @ SV110 )
           != ( host @ SV44 ) )
          | ( ( index @ status @ ( host @ SV119 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV44 ) )
           != ( host @ SV44 ) )
          | ~ ( setIn @ SV44 @ alive )
          | ( ( index @ status @ ( host @ SV44 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[538]) ).

thf(604,plain,
    ! [SV90: $i,SV45: $i] :
      ( ( ( ( leq @ ( host @ SV45 ) @ ( host @ SV90 ) )
          | ~ ( setIn @ SV45 @ alive )
          | ~ ( setIn @ SV90 @ alive )
          | ( ( index @ status @ ( host @ SV45 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV90 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV45 ) ) @ ( index @ pendack @ ( host @ SV90 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[539]) ).

thf(605,plain,
    ! [SV46: $i,SV111: $i] :
      ( ( ( ( leq @ ( index @ pendack @ ( host @ SV111 ) ) @ ( host @ SV46 ) )
          | ~ ( setIn @ SV111 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV111 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV46 ) )
           != ( host @ SV46 ) )
          | ~ ( setIn @ SV46 @ alive )
          | ( ( index @ status @ ( host @ SV46 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[540]) ).

thf(606,plain,
    ! [SV47: $i,SV120: $i,SV91: $i] :
      ( ( ( ( ( host @ SV91 )
           != ( host @ SV120 ) )
          | ~ ( setIn @ SV120 @ alive )
          | ( ( index @ status @ ( host @ SV120 ) )
           != norm )
          | ( ( index @ ldr @ ( host @ SV120 ) )
           != ( host @ SV120 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV91 ) @ ( queue @ ( host @ SV47 ) ) )
          | ~ ( setIn @ SV47 @ alive ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[541]) ).

thf(607,plain,
    ! [SV92: $i,SV112: $i,SV48: $i] :
      ( ( ( ~ ( setIn @ SV48 @ alive )
          | ~ ( setIn @ SV112 @ alive )
          | ~ ( elem @ ( m_Down @ SV92 ) @ ( queue @ ( host @ SV48 ) ) )
          | ( ( host @ SV112 )
           != ( host @ SV92 ) )
          | ( ( index @ status @ ( host @ SV112 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV112 ) ) @ ( host @ SV48 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[542]) ).

thf(608,plain,
    ! [SV93: $i,SV121: $i,SV49: $i] :
      ( ( ( ~ ( setIn @ SV49 @ alive )
          | ~ ( setIn @ SV121 @ alive )
          | ( ( host @ SV121 )
           != ( host @ SV93 ) )
          | ( ( index @ status @ ( host @ SV49 ) )
           != elec_2 )
          | ( ( index @ status @ ( host @ SV121 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV49 @ SV93 ) @ ( queue @ ( host @ SV49 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[543]) ).

thf(609,plain,
    ! [SV50: $i,SV113: $i] :
      ( ( ( ! [SY436: $i] :
              ( ~ ( elem @ ( m_Ack @ SY436 @ SV113 ) @ ( queue @ ( host @ SY436 ) ) )
              | ~ ( setIn @ SY436 @ alive ) ) )
        = $true )
      | ( ( ( ( host @ SV113 )
           != ( host @ SV50 ) ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV50 ) )
           != ( host @ SV50 ) )
          | ~ ( setIn @ SV50 @ alive )
          | ( ( index @ status @ ( host @ SV50 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[544]) ).

thf(610,plain,
    ! [SV94: $i,SV51: $i] :
      ( ( ( ( leq @ ( host @ SV51 ) @ ( host @ SV94 ) )
          | ~ ( setIn @ SV51 @ alive )
          | ~ ( setIn @ SV94 @ alive )
          | ( ( index @ status @ ( host @ SV51 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV94 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV94 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[545]) ).

thf(611,plain,
    ! [SV95: $i,SV52: $i,SV122: $i] :
      ( ( ( ( leq @ ( host @ SV122 ) @ ( host @ SV52 ) )
          | ~ ( setIn @ SV52 @ alive )
          | ~ ( setIn @ SV122 @ alive )
          | ( ( host @ SV122 )
           != ( host @ SV95 ) )
          | ( ( index @ status @ ( host @ SV122 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV95 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[546]) ).

thf(612,plain,
    ! [SV53: $i,SV96: $i] :
      ( ( ( ( ( index @ status @ ( host @ SV96 ) )
           != norm )
          | ~ ( setIn @ SV96 @ alive ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV96 ) )
           != ( host @ SV96 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV53 @ alive )
          | ~ ( setIn @ ( host @ SV96 ) @ ( index @ down @ ( host @ SV53 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[547]) ).

thf(613,plain,
    ! [SV97: $i,SV54: $i] :
      ( ( ( ~ ( setIn @ SV54 @ alive )
          | ~ ( setIn @ SV97 @ alive )
          | ~ ( setIn @ ( host @ SV97 ) @ ( index @ down @ ( host @ SV54 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV97 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV97 ) ) @ ( host @ SV54 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[548]) ).

thf(614,plain,
    ! [SV55: $i,SV98: $i] :
      ( ( ( ( ( index @ status @ ( host @ SV98 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( setIn @ SV98 @ alive ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV55 @ SV98 ) @ ( queue @ ( host @ SV55 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[549]) ).

thf(615,plain,
    ! [SV56: $i,SV99: $i] :
      ( ( ( SV99 = SV56 )
        = $true )
      | ( ( ( ( host @ SV99 )
           != ( host @ SV56 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV56 @ alive )
          | ~ ( setIn @ SV99 @ alive ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[550]) ).

thf(616,plain,
    ! [SV57: $i,SV100: $i] :
      ( ( ( elem @ ( m_Ldr @ SV100 ) @ ( queue @ ( host @ SV57 ) ) )
        = $false )
      | ( ( ~ ( leq @ ( host @ SV57 ) @ ( host @ SV100 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[551]) ).

thf(617,plain,
    ! [SV123: $i] :
      ( ( ordered @ ( cons @ SV123 @ q_nil ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[552]) ).

thf(618,plain,
    ! [SV124: $i] :
      ( ( ordered @ ( snoc @ q_nil @ SV124 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[553]) ).

thf(619,plain,
    ! [SV125: $i] :
      ( ( ! [SY440: $i] :
            ( ( SV125 = SY440 )
            | ( ( m_Down @ SV125 )
             != ( m_Down @ SY440 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[554]) ).

thf(620,plain,
    ! [SV126: $i] :
      ( ( ! [SY441: $i] :
            ( ( ( m_Down @ SV126 )
              = ( m_Down @ SY441 ) )
            | ( SV126 != SY441 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[555]) ).

thf(621,plain,
    ! [SV127: $i] :
      ( ( ~ ( ~ ! [SY442: $i] :
                  ( SV127
                 != ( m_Halt @ SY442 ) )
            | ~ ! [SY443: $i] :
                  ( SV127
                 != ( m_Down @ SY443 ) ) )
        | ( pidElem @ SV127 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[556]) ).

thf(622,plain,
    ! [SV128: $i] :
      ( ( ~ ( pidElem @ SV128 )
        | ( SV128
          = ( m_Halt @ ( sK11_Y @ SV128 ) ) )
        | ( SV128
          = ( m_Down @ ( sK10_Y @ SV128 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[557]) ).

thf(623,plain,
    ( ( ( ( ( index @ ldr @ ( host @ sK3_SY166 ) )
         != ( host @ sK4_SY254 ) ) )
      = $true )
    | ( ( ( ( index @ status @ ( host @ sK3_SY166 ) )
         != norm ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[558]) ).

thf(624,plain,
    ( ( ( ( ( index @ status @ ( host @ sK3_SY166 ) )
         != wait ) )
      = $true )
    | ( ( ( ( host @ sK4_SY254 )
         != ( host @ ( index @ elid @ ( host @ sK3_SY166 ) ) ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[559]) ).

thf(625,plain,
    ! [SV129: $i] :
      ( ( ! [SY444: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK8_Y @ SY444 @ SV129 ) @ SY444 )
                                  | ~ ( pidElem @ SV129 ) )
                            | ~ ( pidElem @ ( sK8_Y @ SY444 @ SV129 ) ) )
                      | ( ( host @ ( pidMsg @ ( sK8_Y @ SY444 @ SV129 ) ) )
                       != ( host @ ( pidMsg @ SV129 ) ) ) )
                | ~ ~ ( leq @ ( pidMsg @ ( sK8_Y @ SY444 @ SV129 ) ) @ ( pidMsg @ SV129 ) ) )
            | ~ ( ordered @ SY444 )
            | ( ordered @ ( snoc @ SY444 @ SV129 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[560]) ).

thf(626,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
            | ! [SX2: $i] :
                ( ~ ( elem @ SX2 @ SX1 )
                | ~ ( pidElem @ SX0 )
                | ~ ( pidElem @ SX2 )
                | ( ( host @ ( pidMsg @ SX2 ) )
                 != ( host @ ( pidMsg @ SX0 ) ) )
                | ( leq @ ( pidMsg @ SX2 ) @ ( pidMsg @ SX0 ) ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
            | ( ordered @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[561]) ).

thf(627,plain,
    ( ( ( host @ sK3_SY166 )
      = ( host @ sK5_SY295 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[562]) ).

thf(628,plain,
    ( ( ( ( host @ sK3_SY166 )
       != ( host @ sK6_SY339 ) )
      | ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY166 ) ) @ ( host @ sK5_SY295 ) )
                  | ~ ( setIn @ sK6_SY339 @ alive ) )
            | ~ ~ ( ~ ~ ( ( ( index @ ldr @ ( host @ sK5_SY295 ) )
                         != ( host @ sK5_SY295 ) )
                        | ~ ( setIn @ sK5_SY295 @ alive ) )
                  | ( ( index @ status @ ( host @ sK5_SY295 ) )
                   != norm ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[563]) ).

thf(629,plain,
    ! [SV130: $i] :
      ( ( ! [SY445: $i] :
            ( ( SV130 = SY445 )
            | ( ( m_Ldr @ SV130 )
             != ( m_Ldr @ SY445 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[564]) ).

thf(630,plain,
    ! [SV131: $i] :
      ( ( ! [SY446: $i] :
            ( ( ( m_Ldr @ SV131 )
              = ( m_Ldr @ SY446 ) )
            | ( SV131 != SY446 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[565]) ).

thf(631,plain,
    ! [SV132: $i] :
      ( ( ! [SY447: $i] :
            ( ( SV132 = SY447 )
            | ( ( m_NotNorm @ SV132 )
             != ( m_NotNorm @ SY447 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[566]) ).

thf(632,plain,
    ! [SV133: $i] :
      ( ( ! [SY448: $i] :
            ( ( ( m_NotNorm @ SV133 )
              = ( m_NotNorm @ SY448 ) )
            | ( SV133 != SY448 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[567]) ).

thf(633,plain,
    ! [SV134: $i] :
      ( ( ! [SY449: $i] :
            ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK9_Y @ SY449 @ SV134 ) @ SY449 )
                                  | ~ ( pidElem @ SV134 ) )
                            | ~ ( pidElem @ ( sK9_Y @ SY449 @ SV134 ) ) )
                      | ( ( host @ ( pidMsg @ ( sK9_Y @ SY449 @ SV134 ) ) )
                       != ( host @ ( pidMsg @ SV134 ) ) ) )
                | ~ ~ ( leq @ ( pidMsg @ SV134 ) @ ( pidMsg @ ( sK9_Y @ SY449 @ SV134 ) ) ) )
            | ~ ( ordered @ SY449 )
            | ( ordered @ ( cons @ SV134 @ SY449 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[568]) ).

thf(634,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
            | ! [SX2: $i] :
                ( ~ ( elem @ SX2 @ SX1 )
                | ~ ( pidElem @ SX0 )
                | ~ ( pidElem @ SX2 )
                | ( ( host @ ( pidMsg @ SX2 ) )
                 != ( host @ ( pidMsg @ SX0 ) ) )
                | ( leq @ ( pidMsg @ SX0 ) @ ( pidMsg @ SX2 ) ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
            | ( ordered @ SX1 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[569]) ).

thf(635,plain,
    ! [SV135: $i] :
      ( ( ! [SY450: $i] :
            ~ ( elem @ ( m_Ack @ SV135 @ SY450 ) @ ( queue @ ( host @ SV135 ) ) )
        | ( setIn @ SV135 @ pids ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[570]) ).

thf(636,plain,
    ! [SV136: $i] :
      ( ( ! [SY451: $i] :
            ( ~ ( elem @ ( m_Ack @ SV136 @ SY451 ) @ ( queue @ ( host @ SV136 ) ) )
            | ( setIn @ SY451 @ pids ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[571]) ).

thf(637,plain,
    ! [SV137: $i] :
      ( ( ! [SY452: $i] :
            ( ~ ( leq @ SV137 @ SY452 )
            | ( leq @ ( s @ SV137 ) @ ( s @ SY452 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[572]) ).

thf(638,plain,
    ! [SV138: $i] :
      ( ( ! [SY453: $i] :
            ( ~ ( leq @ ( s @ SV138 ) @ ( s @ SY453 ) )
            | ( leq @ SV138 @ SY453 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[573]) ).

thf(639,plain,
    ! [SV139: $i] :
      ( ( ! [SY454: $i] :
            ( ( SV139 = SY454 )
            | ( ( m_Halt @ SV139 )
             != ( m_Halt @ SY454 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[574]) ).

thf(640,plain,
    ! [SV140: $i] :
      ( ( ! [SY455: $i] :
            ( ( ( m_Halt @ SV140 )
              = ( m_Halt @ SY455 ) )
            | ( SV140 != SY455 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[575]) ).

thf(641,plain,
    ! [SV141: $i] :
      ( ( ! [SY456: $i] :
            ( ( SV141 = SY456 )
            | ( ( m_NormQ @ SV141 )
             != ( m_NormQ @ SY456 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[576]) ).

thf(642,plain,
    ! [SV142: $i] :
      ( ( ! [SY457: $i] :
            ( ( ( m_NormQ @ SV142 )
              = ( m_NormQ @ SY457 ) )
            | ( SV142 != SY457 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[577]) ).

thf(643,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV143 ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) )
                    | ~ ( leq @ ( s @ zero ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) ) )
              | ~ ~ ( ~ ( ( ( sK7_V0 @ SV143 @ SV114 @ SV58 )
                         != ( host @ SV114 ) ) )
                    | ~ ~ ( setIn @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) @ ( index @ down @ ( host @ SV143 ) ) ) ) )
          | ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
          | ~ ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
          | ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[578]) ).

thf(644,plain,
    ! [SV144: $i] :
      ( ( ! [SY458: $i] :
            ( ~ ( leq @ SV144 @ SY458 )
            | ~ ( leq @ SY458 @ SV144 )
            | ( SV144 = SY458 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[579]) ).

thf(645,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( leq @ SX0 @ SX1 ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( leq @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[580]) ).

thf(646,plain,
    ! [SV59: $i] :
      ( ( ! [SY406: $i,SY407: $i] :
            ( ~ ( elem @ SV59 @ ( snoc @ SY407 @ SY406 ) )
            | ( SV59 = SY406 )
            | ( elem @ SV59 @ SY407 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[581]) ).

thf(647,plain,
    ! [SV59: $i] :
      ( ( ~ ( ~ ! [SY408: $i] :
                  ( ( SV59 != SY408 )
                  | ! [SY409: $i] : ( elem @ SV59 @ ( snoc @ SY409 @ SY408 ) ) )
            | ~ ! [SY410: $i,SY411: $i] :
                  ( ~ ( elem @ SV59 @ SY411 )
                  | ( elem @ SV59 @ ( snoc @ SY411 @ SY410 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[582]) ).

thf(648,plain,
    ! [SV145: $i] :
      ( ( ! [SY459: $i] :
            ( ~ ( leq @ SV145 @ ( s @ SY459 ) )
            | ( SV145
              = ( s @ SY459 ) )
            | ( leq @ SV145 @ SY459 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[583]) ).

thf(649,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0
             != ( s @ SX1 ) )
            | ( leq @ SX0 @ ( s @ SX1 ) ) )
      | ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( leq @ SX0 @ SX1 )
            | ( leq @ SX0 @ ( s @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[584]) ).

thf(650,plain,
    ! [SV146: $i] :
      ( ( ~ ( setIn @ SV146 @ alive )
        | ( ( index @ status @ ( host @ SV146 ) )
         != elec_1 )
        | ( ( index @ elid @ ( host @ SV146 ) )
          = SV146 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[585]) ).

thf(651,plain,
    ! [SV147: $i] :
      ( ( ~ ( setIn @ SV147 @ alive )
        | ( ( index @ status @ ( host @ SV147 ) )
         != elec_2 )
        | ( ( index @ elid @ ( host @ SV147 ) )
          = SV147 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[586]) ).

thf(652,plain,
    ! [SV60: $i] :
      ( ( ! [SY412: $i,SY413: $i] :
            ( ~ ( elem @ SV60 @ ( cons @ SY412 @ SY413 ) )
            | ( SV60 = SY412 )
            | ( elem @ SV60 @ SY413 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[587]) ).

thf(653,plain,
    ! [SV60: $i] :
      ( ( ~ ( ~ ! [SY414: $i] :
                  ( ( SV60 != SY414 )
                  | ! [SY415: $i] : ( elem @ SV60 @ ( cons @ SY414 @ SY415 ) ) )
            | ~ ! [SY416: $i,SY417: $i] :
                  ( ~ ( elem @ SV60 @ SY417 )
                  | ( elem @ SV60 @ ( cons @ SY416 @ SY417 ) ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[588]) ).

thf(654,plain,
    ! [SV61: $i,SV1: $i] :
      ( ( ( ( host @ SV1 )
          = ( host @ SV61 ) )
        = $false )
      | ( ( ( s @ ( host @ SV1 ) )
          = ( host @ SV61 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[589]) ).

thf(655,plain,
    ! [SV148: $i,SV77: $i,SV115: $i,SV19: $i] :
      ( ( ( ( ( m_Ack @ SV19 @ SV115 )
           != ( m_Ack @ SV77 @ SV148 ) ) )
        = $true )
      | ( ( SV19 = SV77 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[595]) ).

thf(656,plain,
    ! [SV78: $i,SV20: $i,SV116: $i,SV106: $i] :
      ( ( ( SV106 = SV116 )
        = $true )
      | ( ( ( ( m_Ack @ SV20 @ SV106 )
           != ( m_Ack @ SV78 @ SV116 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[596]) ).

thf(657,plain,
    ! [SV149: $i,SV117: $i,SV35: $i] :
      ( ( ( ordered @ ( snoc @ SV35 @ ( m_Ack @ SV117 @ SV149 ) ) )
        = $true )
      | ( ( ordered @ SV35 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[598]) ).

thf(658,plain,
    ! [SV37: $i,SV108: $i,SV87: $i] :
      ( ( ( ( ( host @ SV87 )
           != ( host @ SV108 ) )
          | ~ ( ordered @ ( cons @ ( m_Halt @ SV87 ) @ SV37 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV108 ) @ SV37 ) )
        = $true )
      | ( ( leq @ SV87 @ SV108 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[600]) ).

thf(659,plain,
    ! [SV109: $i,SV89: $i,SV41: $i] :
      ( ( ( ~ ( leq @ SV41 @ SV89 ) )
        = $true )
      | ( ( ~ ( leq @ SV89 @ SV109 ) )
        = $true )
      | ( ( leq @ SV41 @ SV109 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[601]) ).

thf(660,plain,
    ! [SV43: $i] :
      ( ( ( SV43
          = ( host @ sK4_SY254 ) )
        = $true )
      | ( ( setIn @ SV43 @ ( index @ down @ ( host @ sK3_SY166 ) ) )
        = $true )
      | ( ( leq @ ( host @ sK3_SY166 ) @ SV43 )
        = $true )
      | ( ( leq @ ( s @ zero ) @ SV43 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[602]) ).

thf(661,plain,
    ! [SV44: $i,SV119: $i,SV110: $i] :
      ( ( ( ~ ( elem @ ( m_Down @ SV110 ) @ ( queue @ ( host @ SV119 ) ) )
          | ~ ( setIn @ SV119 @ alive )
          | ( ( host @ SV110 )
           != ( host @ SV44 ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV119 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV44 ) )
           != ( host @ SV44 ) )
          | ~ ( setIn @ SV44 @ alive )
          | ( ( index @ status @ ( host @ SV44 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[603]) ).

thf(662,plain,
    ! [SV90: $i,SV45: $i] :
      ( ( ( ( leq @ ( host @ SV45 ) @ ( host @ SV90 ) )
          | ~ ( setIn @ SV45 @ alive )
          | ~ ( setIn @ SV90 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV45 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV90 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV45 ) ) @ ( index @ pendack @ ( host @ SV90 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[604]) ).

thf(663,plain,
    ! [SV46: $i,SV111: $i] :
      ( ( ( leq @ ( index @ pendack @ ( host @ SV111 ) ) @ ( host @ SV46 ) )
        = $true )
      | ( ( ~ ( setIn @ SV111 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV111 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV46 ) )
           != ( host @ SV46 ) )
          | ~ ( setIn @ SV46 @ alive )
          | ( ( index @ status @ ( host @ SV46 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[605]) ).

thf(664,plain,
    ! [SV47: $i,SV120: $i,SV91: $i] :
      ( ( ( ( ( host @ SV91 )
           != ( host @ SV120 ) )
          | ~ ( setIn @ SV120 @ alive )
          | ( ( index @ status @ ( host @ SV120 ) )
           != norm ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV120 ) )
           != ( host @ SV120 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV91 ) @ ( queue @ ( host @ SV47 ) ) )
          | ~ ( setIn @ SV47 @ alive ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[606]) ).

thf(665,plain,
    ! [SV92: $i,SV112: $i,SV48: $i] :
      ( ( ( ~ ( setIn @ SV48 @ alive )
          | ~ ( setIn @ SV112 @ alive )
          | ~ ( elem @ ( m_Down @ SV92 ) @ ( queue @ ( host @ SV48 ) ) )
          | ( ( host @ SV112 )
           != ( host @ SV92 ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV112 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV112 ) ) @ ( host @ SV48 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[607]) ).

thf(666,plain,
    ! [SV93: $i,SV121: $i,SV49: $i] :
      ( ( ( ~ ( setIn @ SV49 @ alive )
          | ~ ( setIn @ SV121 @ alive )
          | ( ( host @ SV121 )
           != ( host @ SV93 ) )
          | ( ( index @ status @ ( host @ SV49 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV121 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV49 @ SV93 ) @ ( queue @ ( host @ SV49 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[608]) ).

thf(667,plain,
    ! [SV50: $i,SV113: $i,SV150: $i] :
      ( ( ( ~ ( elem @ ( m_Ack @ SV150 @ SV113 ) @ ( queue @ ( host @ SV150 ) ) )
          | ~ ( setIn @ SV150 @ alive ) )
        = $true )
      | ( ( ( ( host @ SV113 )
           != ( host @ SV50 ) ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV50 ) )
           != ( host @ SV50 ) )
          | ~ ( setIn @ SV50 @ alive )
          | ( ( index @ status @ ( host @ SV50 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[609]) ).

thf(668,plain,
    ! [SV94: $i,SV51: $i] :
      ( ( ( ( leq @ ( host @ SV51 ) @ ( host @ SV94 ) )
          | ~ ( setIn @ SV51 @ alive )
          | ~ ( setIn @ SV94 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV51 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV94 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV94 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[610]) ).

thf(669,plain,
    ! [SV95: $i,SV52: $i,SV122: $i] :
      ( ( ( ( leq @ ( host @ SV122 ) @ ( host @ SV52 ) )
          | ~ ( setIn @ SV52 @ alive )
          | ~ ( setIn @ SV122 @ alive )
          | ( ( host @ SV122 )
           != ( host @ SV95 ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV122 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV95 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[611]) ).

thf(670,plain,
    ! [SV53: $i,SV96: $i] :
      ( ( ( ( ( index @ status @ ( host @ SV96 ) )
           != norm ) )
        = $true )
      | ( ( ~ ( setIn @ SV96 @ alive ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV96 ) )
           != ( host @ SV96 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV53 @ alive )
          | ~ ( setIn @ ( host @ SV96 ) @ ( index @ down @ ( host @ SV53 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[612]) ).

thf(671,plain,
    ! [SV97: $i,SV54: $i] :
      ( ( ( ~ ( setIn @ SV54 @ alive )
          | ~ ( setIn @ SV97 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ ( host @ SV97 ) @ ( index @ down @ ( host @ SV54 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV97 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV97 ) ) @ ( host @ SV54 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[613]) ).

thf(672,plain,
    ! [SV55: $i,SV98: $i] :
      ( ( ( ( index @ status @ ( host @ SV98 ) )
          = elec_2 )
        = $false )
      | ( ( ~ ( setIn @ SV98 @ alive ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV55 @ SV98 ) @ ( queue @ ( host @ SV55 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[614]) ).

thf(673,plain,
    ! [SV56: $i,SV99: $i] :
      ( ( ( ( host @ SV99 )
          = ( host @ SV56 ) )
        = $false )
      | ( ( SV99 = SV56 )
        = $true )
      | ( ( ~ ( setIn @ SV56 @ alive )
          | ~ ( setIn @ SV99 @ alive ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[615]) ).

thf(674,plain,
    ! [SV100: $i,SV57: $i] :
      ( ( ( leq @ ( host @ SV57 ) @ ( host @ SV100 ) )
        = $false )
      | ( ( elem @ ( m_Ldr @ SV100 ) @ ( queue @ ( host @ SV57 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[616]) ).

thf(675,plain,
    ! [SV151: $i,SV125: $i] :
      ( ( ( SV125 = SV151 )
        | ( ( m_Down @ SV125 )
         != ( m_Down @ SV151 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[619]) ).

thf(676,plain,
    ! [SV152: $i,SV126: $i] :
      ( ( ( ( m_Down @ SV126 )
          = ( m_Down @ SV152 ) )
        | ( SV126 != SV152 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[620]) ).

thf(677,plain,
    ! [SV127: $i] :
      ( ( ( ~ ( ~ ! [SY442: $i] :
                    ( SV127
                   != ( m_Halt @ SY442 ) )
              | ~ ! [SY443: $i] :
                    ( SV127
                   != ( m_Down @ SY443 ) ) ) )
        = $true )
      | ( ( pidElem @ SV127 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[621]) ).

thf(678,plain,
    ! [SV128: $i] :
      ( ( ( ~ ( pidElem @ SV128 ) )
        = $true )
      | ( ( ( SV128
            = ( m_Halt @ ( sK11_Y @ SV128 ) ) )
          | ( SV128
            = ( m_Down @ ( sK10_Y @ SV128 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[622]) ).

thf(679,plain,
    ( ( ( ( index @ ldr @ ( host @ sK3_SY166 ) )
        = ( host @ sK4_SY254 ) )
      = $false )
    | ( ( ( ( index @ status @ ( host @ sK3_SY166 ) )
         != norm ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[623]) ).

thf(680,plain,
    ( ( ( ( index @ status @ ( host @ sK3_SY166 ) )
        = wait )
      = $false )
    | ( ( ( ( host @ sK4_SY254 )
         != ( host @ ( index @ elid @ ( host @ sK3_SY166 ) ) ) ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[624]) ).

thf(681,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK8_Y @ SV153 @ SV129 ) @ SV153 )
                              | ~ ( pidElem @ SV129 ) )
                        | ~ ( pidElem @ ( sK8_Y @ SV153 @ SV129 ) ) )
                  | ( ( host @ ( pidMsg @ ( sK8_Y @ SV153 @ SV129 ) ) )
                   != ( host @ ( pidMsg @ SV129 ) ) ) )
            | ~ ~ ( leq @ ( pidMsg @ ( sK8_Y @ SV153 @ SV129 ) ) @ ( pidMsg @ SV129 ) ) )
        | ~ ( ordered @ SV153 )
        | ( ordered @ ( snoc @ SV153 @ SV129 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[625]) ).

thf(682,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
            | ! [SX2: $i] :
                ( ~ ( elem @ SX2 @ SX1 )
                | ~ ( pidElem @ SX0 )
                | ~ ( pidElem @ SX2 )
                | ( ( host @ ( pidMsg @ SX2 ) )
                 != ( host @ ( pidMsg @ SX0 ) ) )
                | ( leq @ ( pidMsg @ SX2 ) @ ( pidMsg @ SX0 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[626]) ).

thf(683,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
            | ( ordered @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[626]) ).

thf(684,plain,
    ( ( ( ( host @ sK3_SY166 )
       != ( host @ sK6_SY339 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[628]) ).

thf(685,plain,
    ( ( ~ ~ ( ~ ~ ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY166 ) ) @ ( host @ sK5_SY295 ) )
                  | ~ ( setIn @ sK6_SY339 @ alive ) )
            | ~ ~ ( ~ ~ ( ( ( index @ ldr @ ( host @ sK5_SY295 ) )
                         != ( host @ sK5_SY295 ) )
                        | ~ ( setIn @ sK5_SY295 @ alive ) )
                  | ( ( index @ status @ ( host @ sK5_SY295 ) )
                   != norm ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[628]) ).

thf(686,plain,
    ! [SV154: $i,SV130: $i] :
      ( ( ( SV130 = SV154 )
        | ( ( m_Ldr @ SV130 )
         != ( m_Ldr @ SV154 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[629]) ).

thf(687,plain,
    ! [SV155: $i,SV131: $i] :
      ( ( ( ( m_Ldr @ SV131 )
          = ( m_Ldr @ SV155 ) )
        | ( SV131 != SV155 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[630]) ).

thf(688,plain,
    ! [SV156: $i,SV132: $i] :
      ( ( ( SV132 = SV156 )
        | ( ( m_NotNorm @ SV132 )
         != ( m_NotNorm @ SV156 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[631]) ).

thf(689,plain,
    ! [SV157: $i,SV133: $i] :
      ( ( ( ( m_NotNorm @ SV133 )
          = ( m_NotNorm @ SV157 ) )
        | ( SV133 != SV157 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[632]) ).

thf(690,plain,
    ! [SV134: $i,SV158: $i] :
      ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK9_Y @ SV158 @ SV134 ) @ SV158 )
                              | ~ ( pidElem @ SV134 ) )
                        | ~ ( pidElem @ ( sK9_Y @ SV158 @ SV134 ) ) )
                  | ( ( host @ ( pidMsg @ ( sK9_Y @ SV158 @ SV134 ) ) )
                   != ( host @ ( pidMsg @ SV134 ) ) ) )
            | ~ ~ ( leq @ ( pidMsg @ SV134 ) @ ( pidMsg @ ( sK9_Y @ SV158 @ SV134 ) ) ) )
        | ~ ( ordered @ SV158 )
        | ( ordered @ ( cons @ SV134 @ SV158 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[633]) ).

thf(691,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
            | ! [SX2: $i] :
                ( ~ ( elem @ SX2 @ SX1 )
                | ~ ( pidElem @ SX0 )
                | ~ ( pidElem @ SX2 )
                | ( ( host @ ( pidMsg @ SX2 ) )
                 != ( host @ ( pidMsg @ SX0 ) ) )
                | ( leq @ ( pidMsg @ SX0 ) @ ( pidMsg @ SX2 ) ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[634]) ).

thf(692,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
            | ( ordered @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[634]) ).

thf(693,plain,
    ! [SV135: $i] :
      ( ( ( ! [SY450: $i] :
              ~ ( elem @ ( m_Ack @ SV135 @ SY450 ) @ ( queue @ ( host @ SV135 ) ) ) )
        = $true )
      | ( ( setIn @ SV135 @ pids )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[635]) ).

thf(694,plain,
    ! [SV159: $i,SV136: $i] :
      ( ( ~ ( elem @ ( m_Ack @ SV136 @ SV159 ) @ ( queue @ ( host @ SV136 ) ) )
        | ( setIn @ SV159 @ pids ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[636]) ).

thf(695,plain,
    ! [SV160: $i,SV137: $i] :
      ( ( ~ ( leq @ SV137 @ SV160 )
        | ( leq @ ( s @ SV137 ) @ ( s @ SV160 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[637]) ).

thf(696,plain,
    ! [SV161: $i,SV138: $i] :
      ( ( ~ ( leq @ ( s @ SV138 ) @ ( s @ SV161 ) )
        | ( leq @ SV138 @ SV161 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[638]) ).

thf(697,plain,
    ! [SV162: $i,SV139: $i] :
      ( ( ( SV139 = SV162 )
        | ( ( m_Halt @ SV139 )
         != ( m_Halt @ SV162 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[639]) ).

thf(698,plain,
    ! [SV163: $i,SV140: $i] :
      ( ( ( ( m_Halt @ SV140 )
          = ( m_Halt @ SV163 ) )
        | ( SV140 != SV163 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[640]) ).

thf(699,plain,
    ! [SV164: $i,SV141: $i] :
      ( ( ( SV141 = SV164 )
        | ( ( m_NormQ @ SV141 )
         != ( m_NormQ @ SV164 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[641]) ).

thf(700,plain,
    ! [SV165: $i,SV142: $i] :
      ( ( ( ( m_NormQ @ SV142 )
          = ( m_NormQ @ SV165 ) )
        | ( SV142 != SV165 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[642]) ).

thf(701,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV143 ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) )
                    | ~ ( leq @ ( s @ zero ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) ) )
              | ~ ~ ( ~ ( ( ( sK7_V0 @ SV143 @ SV114 @ SV58 )
                         != ( host @ SV114 ) ) )
                    | ~ ~ ( setIn @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) @ ( index @ down @ ( host @ SV143 ) ) ) ) )
          | ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
          | ~ ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[643]) ).

thf(702,plain,
    ! [SV166: $i,SV144: $i] :
      ( ( ~ ( leq @ SV144 @ SV166 )
        | ~ ( leq @ SV166 @ SV144 )
        | ( SV144 = SV166 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[644]) ).

thf(703,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( leq @ SX0 @ SX1 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[645]) ).

thf(704,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0 != SX1 )
            | ( leq @ SX1 @ SX0 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[645]) ).

thf(705,plain,
    ! [SV167: $i,SV59: $i] :
      ( ( ! [SY460: $i] :
            ( ~ ( elem @ SV59 @ ( snoc @ SY460 @ SV167 ) )
            | ( SV59 = SV167 )
            | ( elem @ SV59 @ SY460 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[646]) ).

thf(706,plain,
    ! [SV59: $i] :
      ( ( ~ ! [SY408: $i] :
              ( ( SV59 != SY408 )
              | ! [SY409: $i] : ( elem @ SV59 @ ( snoc @ SY409 @ SY408 ) ) )
        | ~ ! [SY410: $i,SY411: $i] :
              ( ~ ( elem @ SV59 @ SY411 )
              | ( elem @ SV59 @ ( snoc @ SY411 @ SY410 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[647]) ).

thf(707,plain,
    ! [SV168: $i,SV145: $i] :
      ( ( ~ ( leq @ SV145 @ ( s @ SV168 ) )
        | ( SV145
          = ( s @ SV168 ) )
        | ( leq @ SV145 @ SV168 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[648]) ).

thf(708,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ( SX0
             != ( s @ SX1 ) )
            | ( leq @ SX0 @ ( s @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[649]) ).

thf(709,plain,
    ( ( ~ ! [SX0: $i,SX1: $i] :
            ( ~ ( leq @ SX0 @ SX1 )
            | ( leq @ SX0 @ ( s @ SX1 ) ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[649]) ).

thf(710,plain,
    ! [SV146: $i] :
      ( ( ( ~ ( setIn @ SV146 @ alive )
          | ( ( index @ status @ ( host @ SV146 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( index @ elid @ ( host @ SV146 ) )
          = SV146 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[650]) ).

thf(711,plain,
    ! [SV147: $i] :
      ( ( ( ~ ( setIn @ SV147 @ alive )
          | ( ( index @ status @ ( host @ SV147 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( index @ elid @ ( host @ SV147 ) )
          = SV147 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[651]) ).

thf(712,plain,
    ! [SV169: $i,SV60: $i] :
      ( ( ! [SY461: $i] :
            ( ~ ( elem @ SV60 @ ( cons @ SV169 @ SY461 ) )
            | ( SV60 = SV169 )
            | ( elem @ SV60 @ SY461 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[652]) ).

thf(713,plain,
    ! [SV60: $i] :
      ( ( ~ ! [SY414: $i] :
              ( ( SV60 != SY414 )
              | ! [SY415: $i] : ( elem @ SV60 @ ( cons @ SY414 @ SY415 ) ) )
        | ~ ! [SY416: $i,SY417: $i] :
              ( ~ ( elem @ SV60 @ SY417 )
              | ( elem @ SV60 @ ( cons @ SY416 @ SY417 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[653]) ).

thf(714,plain,
    ! [SV148: $i,SV77: $i,SV115: $i,SV19: $i] :
      ( ( ( ( m_Ack @ SV19 @ SV115 )
          = ( m_Ack @ SV77 @ SV148 ) )
        = $false )
      | ( ( SV19 = SV77 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[655]) ).

thf(715,plain,
    ! [SV116: $i,SV78: $i,SV106: $i,SV20: $i] :
      ( ( ( ( m_Ack @ SV20 @ SV106 )
          = ( m_Ack @ SV78 @ SV116 ) )
        = $false )
      | ( ( SV106 = SV116 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[656]) ).

thf(716,plain,
    ! [SV37: $i,SV108: $i,SV87: $i] :
      ( ( ( ( ( host @ SV87 )
           != ( host @ SV108 ) ) )
        = $true )
      | ( ( ~ ( ordered @ ( cons @ ( m_Halt @ SV87 ) @ SV37 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV108 ) @ SV37 ) )
        = $true )
      | ( ( leq @ SV87 @ SV108 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[658]) ).

thf(717,plain,
    ! [SV109: $i,SV89: $i,SV41: $i] :
      ( ( ( leq @ SV41 @ SV89 )
        = $false )
      | ( ( ~ ( leq @ SV89 @ SV109 ) )
        = $true )
      | ( ( leq @ SV41 @ SV109 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[659]) ).

thf(718,plain,
    ! [SV44: $i,SV119: $i,SV110: $i] :
      ( ( ( ~ ( elem @ ( m_Down @ SV110 ) @ ( queue @ ( host @ SV119 ) ) )
          | ~ ( setIn @ SV119 @ alive ) )
        = $true )
      | ( ( ( ( host @ SV110 )
           != ( host @ SV44 ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV119 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV44 ) )
           != ( host @ SV44 ) )
          | ~ ( setIn @ SV44 @ alive )
          | ( ( index @ status @ ( host @ SV44 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[661]) ).

thf(719,plain,
    ! [SV90: $i,SV45: $i] :
      ( ( ( ( leq @ ( host @ SV45 ) @ ( host @ SV90 ) )
          | ~ ( setIn @ SV45 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV90 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV45 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV90 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV45 ) ) @ ( index @ pendack @ ( host @ SV90 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[662]) ).

thf(720,plain,
    ! [SV46: $i,SV111: $i] :
      ( ( ( setIn @ SV111 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV111 ) ) @ ( host @ SV46 ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV111 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV46 ) )
           != ( host @ SV46 ) )
          | ~ ( setIn @ SV46 @ alive )
          | ( ( index @ status @ ( host @ SV46 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[663]) ).

thf(721,plain,
    ! [SV47: $i,SV120: $i,SV91: $i] :
      ( ( ( ( ( host @ SV91 )
           != ( host @ SV120 ) )
          | ~ ( setIn @ SV120 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV120 ) )
           != norm ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV120 ) )
           != ( host @ SV120 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV91 ) @ ( queue @ ( host @ SV47 ) ) )
          | ~ ( setIn @ SV47 @ alive ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[664]) ).

thf(722,plain,
    ! [SV92: $i,SV112: $i,SV48: $i] :
      ( ( ( ~ ( setIn @ SV48 @ alive )
          | ~ ( setIn @ SV112 @ alive )
          | ~ ( elem @ ( m_Down @ SV92 ) @ ( queue @ ( host @ SV48 ) ) ) )
        = $true )
      | ( ( ( ( host @ SV112 )
           != ( host @ SV92 ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV112 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV112 ) ) @ ( host @ SV48 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[665]) ).

thf(723,plain,
    ! [SV93: $i,SV121: $i,SV49: $i] :
      ( ( ( ~ ( setIn @ SV49 @ alive )
          | ~ ( setIn @ SV121 @ alive )
          | ( ( host @ SV121 )
           != ( host @ SV93 ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV49 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV121 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV49 @ SV93 ) @ ( queue @ ( host @ SV49 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[666]) ).

thf(724,plain,
    ! [SV50: $i,SV113: $i,SV150: $i] :
      ( ( ( ~ ( elem @ ( m_Ack @ SV150 @ SV113 ) @ ( queue @ ( host @ SV150 ) ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV150 @ alive ) )
        = $true )
      | ( ( ( ( host @ SV113 )
           != ( host @ SV50 ) ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV50 ) )
           != ( host @ SV50 ) )
          | ~ ( setIn @ SV50 @ alive )
          | ( ( index @ status @ ( host @ SV50 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[667]) ).

thf(725,plain,
    ! [SV94: $i,SV51: $i] :
      ( ( ( ( leq @ ( host @ SV51 ) @ ( host @ SV94 ) )
          | ~ ( setIn @ SV51 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV94 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV51 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV94 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV94 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[668]) ).

thf(726,plain,
    ! [SV95: $i,SV52: $i,SV122: $i] :
      ( ( ( ( leq @ ( host @ SV122 ) @ ( host @ SV52 ) )
          | ~ ( setIn @ SV52 @ alive )
          | ~ ( setIn @ SV122 @ alive ) )
        = $true )
      | ( ( ( ( host @ SV122 )
           != ( host @ SV95 ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV122 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV95 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[669]) ).

thf(727,plain,
    ! [SV53: $i,SV96: $i] :
      ( ( ( ( index @ status @ ( host @ SV96 ) )
          = norm )
        = $false )
      | ( ( ~ ( setIn @ SV96 @ alive ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV96 ) )
           != ( host @ SV96 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV53 @ alive )
          | ~ ( setIn @ ( host @ SV96 ) @ ( index @ down @ ( host @ SV53 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[670]) ).

thf(728,plain,
    ! [SV97: $i,SV54: $i] :
      ( ( ( ~ ( setIn @ SV54 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV97 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ ( host @ SV97 ) @ ( index @ down @ ( host @ SV54 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV97 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV97 ) ) @ ( host @ SV54 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[671]) ).

thf(729,plain,
    ! [SV55: $i,SV98: $i] :
      ( ( ( setIn @ SV98 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV98 ) )
          = elec_2 )
        = $false )
      | ( ( ~ ( elem @ ( m_Ack @ SV55 @ SV98 ) @ ( queue @ ( host @ SV55 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[672]) ).

thf(730,plain,
    ! [SV99: $i,SV56: $i] :
      ( ( ( ~ ( setIn @ SV56 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV99 @ alive ) )
        = $true )
      | ( ( SV99 = SV56 )
        = $true )
      | ( ( ( host @ SV99 )
          = ( host @ SV56 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[673]) ).

thf(731,plain,
    ! [SV151: $i,SV125: $i] :
      ( ( ( SV125 = SV151 )
        = $true )
      | ( ( ( ( m_Down @ SV125 )
           != ( m_Down @ SV151 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[675]) ).

thf(732,plain,
    ! [SV152: $i,SV126: $i] :
      ( ( ( ( m_Down @ SV126 )
          = ( m_Down @ SV152 ) )
        = $true )
      | ( ( ( SV126 != SV152 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[676]) ).

thf(733,plain,
    ! [SV127: $i] :
      ( ( ( ~ ! [SY442: $i] :
                ( SV127
               != ( m_Halt @ SY442 ) )
          | ~ ! [SY443: $i] :
                ( SV127
               != ( m_Down @ SY443 ) ) )
        = $false )
      | ( ( pidElem @ SV127 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[677]) ).

thf(734,plain,
    ! [SV128: $i] :
      ( ( ( pidElem @ SV128 )
        = $false )
      | ( ( ( SV128
            = ( m_Halt @ ( sK11_Y @ SV128 ) ) )
          | ( SV128
            = ( m_Down @ ( sK10_Y @ SV128 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[678]) ).

thf(735,plain,
    ( ( ( ( index @ status @ ( host @ sK3_SY166 ) )
        = norm )
      = $false )
    | ( ( ( index @ ldr @ ( host @ sK3_SY166 ) )
        = ( host @ sK4_SY254 ) )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[679]) ).

thf(736,plain,
    ( ( ( ( host @ sK4_SY254 )
        = ( host @ ( index @ elid @ ( host @ sK3_SY166 ) ) ) )
      = $false )
    | ( ( ( index @ status @ ( host @ sK3_SY166 ) )
        = wait )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[680]) ).

thf(737,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK8_Y @ SV153 @ SV129 ) @ SV153 )
                                | ~ ( pidElem @ SV129 ) )
                          | ~ ( pidElem @ ( sK8_Y @ SV153 @ SV129 ) ) )
                    | ( ( host @ ( pidMsg @ ( sK8_Y @ SV153 @ SV129 ) ) )
                     != ( host @ ( pidMsg @ SV129 ) ) ) )
              | ~ ~ ( leq @ ( pidMsg @ ( sK8_Y @ SV153 @ SV129 ) ) @ ( pidMsg @ SV129 ) ) )
          | ~ ( ordered @ SV153 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[681]) ).

thf(738,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
          | ! [SX2: $i] :
              ( ~ ( elem @ SX2 @ SX1 )
              | ~ ( pidElem @ SX0 )
              | ~ ( pidElem @ SX2 )
              | ( ( host @ ( pidMsg @ SX2 ) )
               != ( host @ ( pidMsg @ SX0 ) ) )
              | ( leq @ ( pidMsg @ SX2 ) @ ( pidMsg @ SX0 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[682]) ).

thf(739,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ordered @ ( snoc @ SX1 @ SX0 ) )
          | ( ordered @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[683]) ).

thf(740,plain,
    ( ( ( host @ sK3_SY166 )
      = ( host @ sK6_SY339 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[684]) ).

thf(741,plain,
    ( ( ~ ( ~ ~ ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY166 ) ) @ ( host @ sK5_SY295 ) )
                | ~ ( setIn @ sK6_SY339 @ alive ) )
          | ~ ~ ( ~ ~ ( ( ( index @ ldr @ ( host @ sK5_SY295 ) )
                       != ( host @ sK5_SY295 ) )
                      | ~ ( setIn @ sK5_SY295 @ alive ) )
                | ( ( index @ status @ ( host @ sK5_SY295 ) )
                 != norm ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[685]) ).

thf(742,plain,
    ! [SV154: $i,SV130: $i] :
      ( ( ( SV130 = SV154 )
        = $true )
      | ( ( ( ( m_Ldr @ SV130 )
           != ( m_Ldr @ SV154 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[686]) ).

thf(743,plain,
    ! [SV155: $i,SV131: $i] :
      ( ( ( ( m_Ldr @ SV131 )
          = ( m_Ldr @ SV155 ) )
        = $true )
      | ( ( ( SV131 != SV155 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[687]) ).

thf(744,plain,
    ! [SV156: $i,SV132: $i] :
      ( ( ( SV132 = SV156 )
        = $true )
      | ( ( ( ( m_NotNorm @ SV132 )
           != ( m_NotNorm @ SV156 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[688]) ).

thf(745,plain,
    ! [SV157: $i,SV133: $i] :
      ( ( ( ( m_NotNorm @ SV133 )
          = ( m_NotNorm @ SV157 ) )
        = $true )
      | ( ( ( SV133 != SV157 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[689]) ).

thf(746,plain,
    ! [SV134: $i,SV158: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK9_Y @ SV158 @ SV134 ) @ SV158 )
                                | ~ ( pidElem @ SV134 ) )
                          | ~ ( pidElem @ ( sK9_Y @ SV158 @ SV134 ) ) )
                    | ( ( host @ ( pidMsg @ ( sK9_Y @ SV158 @ SV134 ) ) )
                     != ( host @ ( pidMsg @ SV134 ) ) ) )
              | ~ ~ ( leq @ ( pidMsg @ SV134 ) @ ( pidMsg @ ( sK9_Y @ SV158 @ SV134 ) ) ) )
          | ~ ( ordered @ SV158 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[690]) ).

thf(747,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
          | ! [SX2: $i] :
              ( ~ ( elem @ SX2 @ SX1 )
              | ~ ( pidElem @ SX0 )
              | ~ ( pidElem @ SX2 )
              | ( ( host @ ( pidMsg @ SX2 ) )
               != ( host @ ( pidMsg @ SX0 ) ) )
              | ( leq @ ( pidMsg @ SX0 ) @ ( pidMsg @ SX2 ) ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[691]) ).

thf(748,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( ordered @ ( cons @ SX0 @ SX1 ) )
          | ( ordered @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[692]) ).

thf(749,plain,
    ! [SV170: $i,SV135: $i] :
      ( ( ( ~ ( elem @ ( m_Ack @ SV135 @ SV170 ) @ ( queue @ ( host @ SV135 ) ) ) )
        = $true )
      | ( ( setIn @ SV135 @ pids )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[693]) ).

thf(750,plain,
    ! [SV159: $i,SV136: $i] :
      ( ( ( ~ ( elem @ ( m_Ack @ SV136 @ SV159 ) @ ( queue @ ( host @ SV136 ) ) ) )
        = $true )
      | ( ( setIn @ SV159 @ pids )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[694]) ).

thf(751,plain,
    ! [SV160: $i,SV137: $i] :
      ( ( ( ~ ( leq @ SV137 @ SV160 ) )
        = $true )
      | ( ( leq @ ( s @ SV137 ) @ ( s @ SV160 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[695]) ).

thf(752,plain,
    ! [SV161: $i,SV138: $i] :
      ( ( ( ~ ( leq @ ( s @ SV138 ) @ ( s @ SV161 ) ) )
        = $true )
      | ( ( leq @ SV138 @ SV161 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[696]) ).

thf(753,plain,
    ! [SV162: $i,SV139: $i] :
      ( ( ( SV139 = SV162 )
        = $true )
      | ( ( ( ( m_Halt @ SV139 )
           != ( m_Halt @ SV162 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[697]) ).

thf(754,plain,
    ! [SV163: $i,SV140: $i] :
      ( ( ( ( m_Halt @ SV140 )
          = ( m_Halt @ SV163 ) )
        = $true )
      | ( ( ( SV140 != SV163 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[698]) ).

thf(755,plain,
    ! [SV164: $i,SV141: $i] :
      ( ( ( SV141 = SV164 )
        = $true )
      | ( ( ( ( m_NormQ @ SV141 )
           != ( m_NormQ @ SV164 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[699]) ).

thf(756,plain,
    ! [SV165: $i,SV142: $i] :
      ( ( ( ( m_NormQ @ SV142 )
          = ( m_NormQ @ SV165 ) )
        = $true )
      | ( ( ( SV142 != SV165 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[700]) ).

thf(757,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV143 ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) )
                    | ~ ( leq @ ( s @ zero ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) ) )
              | ~ ~ ( ~ ( ( ( sK7_V0 @ SV143 @ SV114 @ SV58 )
                         != ( host @ SV114 ) ) )
                    | ~ ~ ( setIn @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) @ ( index @ down @ ( host @ SV143 ) ) ) ) )
          | ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[701]) ).

thf(758,plain,
    ! [SV166: $i,SV144: $i] :
      ( ( ( ~ ( leq @ SV144 @ SV166 )
          | ~ ( leq @ SV166 @ SV144 ) )
        = $true )
      | ( ( SV144 = SV166 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[702]) ).

thf(759,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 != SX1 )
          | ( leq @ SX0 @ SX1 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[703]) ).

thf(760,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0 != SX1 )
          | ( leq @ SX1 @ SX0 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[704]) ).

thf(761,plain,
    ! [SV167: $i,SV171: $i,SV59: $i] :
      ( ( ~ ( elem @ SV59 @ ( snoc @ SV171 @ SV167 ) )
        | ( SV59 = SV167 )
        | ( elem @ SV59 @ SV171 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[705]) ).

thf(762,plain,
    ! [SV59: $i] :
      ( ( ~ ! [SY408: $i] :
              ( ( SV59 != SY408 )
              | ! [SY409: $i] : ( elem @ SV59 @ ( snoc @ SY409 @ SY408 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[706]) ).

thf(763,plain,
    ! [SV59: $i] :
      ( ( ~ ! [SY410: $i,SY411: $i] :
              ( ~ ( elem @ SV59 @ SY411 )
              | ( elem @ SV59 @ ( snoc @ SY411 @ SY410 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[706]) ).

thf(764,plain,
    ! [SV168: $i,SV145: $i] :
      ( ( ( ~ ( leq @ SV145 @ ( s @ SV168 ) ) )
        = $true )
      | ( ( ( SV145
            = ( s @ SV168 ) )
          | ( leq @ SV145 @ SV168 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[707]) ).

thf(765,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ( SX0
           != ( s @ SX1 ) )
          | ( leq @ SX0 @ ( s @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[708]) ).

thf(766,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( leq @ SX0 @ SX1 )
          | ( leq @ SX0 @ ( s @ SX1 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[709]) ).

thf(767,plain,
    ! [SV146: $i] :
      ( ( ( ~ ( setIn @ SV146 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV146 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( index @ elid @ ( host @ SV146 ) )
          = SV146 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[710]) ).

thf(768,plain,
    ! [SV147: $i] :
      ( ( ( ~ ( setIn @ SV147 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV147 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( index @ elid @ ( host @ SV147 ) )
          = SV147 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[711]) ).

thf(769,plain,
    ! [SV172: $i,SV169: $i,SV60: $i] :
      ( ( ~ ( elem @ SV60 @ ( cons @ SV169 @ SV172 ) )
        | ( SV60 = SV169 )
        | ( elem @ SV60 @ SV172 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[712]) ).

thf(770,plain,
    ! [SV60: $i] :
      ( ( ~ ! [SY414: $i] :
              ( ( SV60 != SY414 )
              | ! [SY415: $i] : ( elem @ SV60 @ ( cons @ SY414 @ SY415 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[713]) ).

thf(771,plain,
    ! [SV60: $i] :
      ( ( ~ ! [SY416: $i,SY417: $i] :
              ( ~ ( elem @ SV60 @ SY417 )
              | ( elem @ SV60 @ ( cons @ SY416 @ SY417 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[713]) ).

thf(772,plain,
    ! [SV37: $i,SV108: $i,SV87: $i] :
      ( ( ( ( host @ SV87 )
          = ( host @ SV108 ) )
        = $false )
      | ( ( ~ ( ordered @ ( cons @ ( m_Halt @ SV87 ) @ SV37 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV108 ) @ SV37 ) )
        = $true )
      | ( ( leq @ SV87 @ SV108 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[716]) ).

thf(773,plain,
    ! [SV41: $i,SV109: $i,SV89: $i] :
      ( ( ( leq @ SV89 @ SV109 )
        = $false )
      | ( ( leq @ SV41 @ SV89 )
        = $false )
      | ( ( leq @ SV41 @ SV109 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[717]) ).

thf(774,plain,
    ! [SV44: $i,SV119: $i,SV110: $i] :
      ( ( ( ~ ( elem @ ( m_Down @ SV110 ) @ ( queue @ ( host @ SV119 ) ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV119 @ alive ) )
        = $true )
      | ( ( ( ( host @ SV110 )
           != ( host @ SV44 ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV119 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV44 ) )
           != ( host @ SV44 ) )
          | ~ ( setIn @ SV44 @ alive )
          | ( ( index @ status @ ( host @ SV44 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[718]) ).

thf(775,plain,
    ! [SV90: $i,SV45: $i] :
      ( ( ( leq @ ( host @ SV45 ) @ ( host @ SV90 ) )
        = $true )
      | ( ( ~ ( setIn @ SV45 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV90 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV45 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV90 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV45 ) ) @ ( index @ pendack @ ( host @ SV90 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[719]) ).

thf(776,plain,
    ! [SV46: $i,SV111: $i] :
      ( ( ( ( index @ status @ ( host @ SV111 ) )
          = elec_2 )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV111 ) ) @ ( host @ SV46 ) )
        = $true )
      | ( ( setIn @ SV111 @ alive )
        = $false )
      | ( ( ( ( index @ ldr @ ( host @ SV46 ) )
           != ( host @ SV46 ) )
          | ~ ( setIn @ SV46 @ alive )
          | ( ( index @ status @ ( host @ SV46 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[720]) ).

thf(777,plain,
    ! [SV47: $i,SV120: $i,SV91: $i] :
      ( ( ( ( ( host @ SV91 )
           != ( host @ SV120 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV120 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV120 ) )
           != norm ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV120 ) )
           != ( host @ SV120 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV91 ) @ ( queue @ ( host @ SV47 ) ) )
          | ~ ( setIn @ SV47 @ alive ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[721]) ).

thf(778,plain,
    ! [SV92: $i,SV112: $i,SV48: $i] :
      ( ( ( ~ ( setIn @ SV48 @ alive )
          | ~ ( setIn @ SV112 @ alive ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV92 ) @ ( queue @ ( host @ SV48 ) ) ) )
        = $true )
      | ( ( ( ( host @ SV112 )
           != ( host @ SV92 ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV112 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV112 ) ) @ ( host @ SV48 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[722]) ).

thf(779,plain,
    ! [SV93: $i,SV121: $i,SV49: $i] :
      ( ( ( ~ ( setIn @ SV49 @ alive )
          | ~ ( setIn @ SV121 @ alive ) )
        = $true )
      | ( ( ( ( host @ SV121 )
           != ( host @ SV93 ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV49 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV121 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV49 @ SV93 ) @ ( queue @ ( host @ SV49 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[723]) ).

thf(780,plain,
    ! [SV50: $i,SV113: $i,SV150: $i] :
      ( ( ( elem @ ( m_Ack @ SV150 @ SV113 ) @ ( queue @ ( host @ SV150 ) ) )
        = $false )
      | ( ( ~ ( setIn @ SV150 @ alive ) )
        = $true )
      | ( ( ( ( host @ SV113 )
           != ( host @ SV50 ) ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV50 ) )
           != ( host @ SV50 ) )
          | ~ ( setIn @ SV50 @ alive )
          | ( ( index @ status @ ( host @ SV50 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[724]) ).

thf(781,plain,
    ! [SV94: $i,SV51: $i] :
      ( ( ( leq @ ( host @ SV51 ) @ ( host @ SV94 ) )
        = $true )
      | ( ( ~ ( setIn @ SV51 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV94 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV51 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV94 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV94 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[725]) ).

thf(782,plain,
    ! [SV95: $i,SV52: $i,SV122: $i] :
      ( ( ( ( leq @ ( host @ SV122 ) @ ( host @ SV52 ) )
          | ~ ( setIn @ SV52 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV122 @ alive ) )
        = $true )
      | ( ( ( ( host @ SV122 )
           != ( host @ SV95 ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV122 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV95 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[726]) ).

thf(783,plain,
    ! [SV53: $i,SV96: $i] :
      ( ( ( setIn @ SV96 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV96 ) )
          = norm )
        = $false )
      | ( ( ( ( index @ ldr @ ( host @ SV96 ) )
           != ( host @ SV96 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV53 @ alive )
          | ~ ( setIn @ ( host @ SV96 ) @ ( index @ down @ ( host @ SV53 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[727]) ).

thf(784,plain,
    ! [SV97: $i,SV54: $i] :
      ( ( ( setIn @ SV54 @ alive )
        = $false )
      | ( ( ~ ( setIn @ SV97 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ ( host @ SV97 ) @ ( index @ down @ ( host @ SV54 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV97 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV97 ) ) @ ( host @ SV54 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[728]) ).

thf(785,plain,
    ! [SV98: $i,SV55: $i] :
      ( ( ( elem @ ( m_Ack @ SV55 @ SV98 ) @ ( queue @ ( host @ SV55 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV98 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV98 @ alive )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[729]) ).

thf(786,plain,
    ! [SV99: $i,SV56: $i] :
      ( ( ( setIn @ SV56 @ alive )
        = $false )
      | ( ( ~ ( setIn @ SV99 @ alive ) )
        = $true )
      | ( ( SV99 = SV56 )
        = $true )
      | ( ( ( host @ SV99 )
          = ( host @ SV56 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[730]) ).

thf(787,plain,
    ! [SV151: $i,SV125: $i] :
      ( ( ( ( m_Down @ SV125 )
          = ( m_Down @ SV151 ) )
        = $false )
      | ( ( SV125 = SV151 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[731]) ).

thf(788,plain,
    ! [SV152: $i,SV126: $i] :
      ( ( ( SV126 = SV152 )
        = $false )
      | ( ( ( m_Down @ SV126 )
          = ( m_Down @ SV152 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[732]) ).

thf(789,plain,
    ! [SV127: $i] :
      ( ( ( ~ ! [SY442: $i] :
                ( SV127
               != ( m_Halt @ SY442 ) ) )
        = $false )
      | ( ( pidElem @ SV127 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[733]) ).

thf(790,plain,
    ! [SV127: $i] :
      ( ( ( ~ ! [SY443: $i] :
                ( SV127
               != ( m_Down @ SY443 ) ) )
        = $false )
      | ( ( pidElem @ SV127 )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[733]) ).

thf(791,plain,
    ! [SV128: $i] :
      ( ( ( SV128
          = ( m_Halt @ ( sK11_Y @ SV128 ) ) )
        = $true )
      | ( ( SV128
          = ( m_Down @ ( sK10_Y @ SV128 ) ) )
        = $true )
      | ( ( pidElem @ SV128 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[734]) ).

thf(792,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK8_Y @ SV153 @ SV129 ) @ SV153 )
                                | ~ ( pidElem @ SV129 ) )
                          | ~ ( pidElem @ ( sK8_Y @ SV153 @ SV129 ) ) )
                    | ( ( host @ ( pidMsg @ ( sK8_Y @ SV153 @ SV129 ) ) )
                     != ( host @ ( pidMsg @ SV129 ) ) ) )
              | ~ ~ ( leq @ ( pidMsg @ ( sK8_Y @ SV153 @ SV129 ) ) @ ( pidMsg @ SV129 ) ) ) )
        = $true )
      | ( ( ~ ( ordered @ SV153 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[737]) ).

thf(793,plain,
    ! [SV173: $i] :
      ( ( ! [SY462: $i] :
            ( ~ ( ordered @ ( snoc @ SY462 @ SV173 ) )
            | ! [SY463: $i] :
                ( ~ ( elem @ SY463 @ SY462 )
                | ~ ( pidElem @ SV173 )
                | ~ ( pidElem @ SY463 )
                | ( ( host @ ( pidMsg @ SY463 ) )
                 != ( host @ ( pidMsg @ SV173 ) ) )
                | ( leq @ ( pidMsg @ SY463 ) @ ( pidMsg @ SV173 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[738]) ).

thf(794,plain,
    ! [SV174: $i] :
      ( ( ! [SY464: $i] :
            ( ~ ( ordered @ ( snoc @ SY464 @ SV174 ) )
            | ( ordered @ SY464 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[739]) ).

thf(795,plain,
    ( ( ~ ~ ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY166 ) ) @ ( host @ sK5_SY295 ) )
            | ~ ( setIn @ sK6_SY339 @ alive ) )
      | ~ ~ ( ~ ~ ( ( ( index @ ldr @ ( host @ sK5_SY295 ) )
                   != ( host @ sK5_SY295 ) )
                  | ~ ( setIn @ sK5_SY295 @ alive ) )
            | ( ( index @ status @ ( host @ sK5_SY295 ) )
             != norm ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[741]) ).

thf(796,plain,
    ! [SV154: $i,SV130: $i] :
      ( ( ( ( m_Ldr @ SV130 )
          = ( m_Ldr @ SV154 ) )
        = $false )
      | ( ( SV130 = SV154 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[742]) ).

thf(797,plain,
    ! [SV155: $i,SV131: $i] :
      ( ( ( SV131 = SV155 )
        = $false )
      | ( ( ( m_Ldr @ SV131 )
          = ( m_Ldr @ SV155 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[743]) ).

thf(798,plain,
    ! [SV156: $i,SV132: $i] :
      ( ( ( ( m_NotNorm @ SV132 )
          = ( m_NotNorm @ SV156 ) )
        = $false )
      | ( ( SV132 = SV156 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[744]) ).

thf(799,plain,
    ! [SV157: $i,SV133: $i] :
      ( ( ( SV133 = SV157 )
        = $false )
      | ( ( ( m_NotNorm @ SV133 )
          = ( m_NotNorm @ SV157 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[745]) ).

thf(800,plain,
    ! [SV134: $i,SV158: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK9_Y @ SV158 @ SV134 ) @ SV158 )
                                | ~ ( pidElem @ SV134 ) )
                          | ~ ( pidElem @ ( sK9_Y @ SV158 @ SV134 ) ) )
                    | ( ( host @ ( pidMsg @ ( sK9_Y @ SV158 @ SV134 ) ) )
                     != ( host @ ( pidMsg @ SV134 ) ) ) )
              | ~ ~ ( leq @ ( pidMsg @ SV134 ) @ ( pidMsg @ ( sK9_Y @ SV158 @ SV134 ) ) ) ) )
        = $true )
      | ( ( ~ ( ordered @ SV158 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[746]) ).

thf(801,plain,
    ! [SV175: $i] :
      ( ( ! [SY465: $i] :
            ( ~ ( ordered @ ( cons @ SV175 @ SY465 ) )
            | ! [SY466: $i] :
                ( ~ ( elem @ SY466 @ SY465 )
                | ~ ( pidElem @ SV175 )
                | ~ ( pidElem @ SY466 )
                | ( ( host @ ( pidMsg @ SY466 ) )
                 != ( host @ ( pidMsg @ SV175 ) ) )
                | ( leq @ ( pidMsg @ SV175 ) @ ( pidMsg @ SY466 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[747]) ).

thf(802,plain,
    ! [SV176: $i] :
      ( ( ! [SY467: $i] :
            ( ~ ( ordered @ ( cons @ SV176 @ SY467 ) )
            | ( ordered @ SY467 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[748]) ).

thf(803,plain,
    ! [SV170: $i,SV135: $i] :
      ( ( ( elem @ ( m_Ack @ SV135 @ SV170 ) @ ( queue @ ( host @ SV135 ) ) )
        = $false )
      | ( ( setIn @ SV135 @ pids )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[749]) ).

thf(804,plain,
    ! [SV159: $i,SV136: $i] :
      ( ( ( elem @ ( m_Ack @ SV136 @ SV159 ) @ ( queue @ ( host @ SV136 ) ) )
        = $false )
      | ( ( setIn @ SV159 @ pids )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[750]) ).

thf(805,plain,
    ! [SV160: $i,SV137: $i] :
      ( ( ( leq @ SV137 @ SV160 )
        = $false )
      | ( ( leq @ ( s @ SV137 ) @ ( s @ SV160 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[751]) ).

thf(806,plain,
    ! [SV161: $i,SV138: $i] :
      ( ( ( leq @ ( s @ SV138 ) @ ( s @ SV161 ) )
        = $false )
      | ( ( leq @ SV138 @ SV161 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[752]) ).

thf(807,plain,
    ! [SV162: $i,SV139: $i] :
      ( ( ( ( m_Halt @ SV139 )
          = ( m_Halt @ SV162 ) )
        = $false )
      | ( ( SV139 = SV162 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[753]) ).

thf(808,plain,
    ! [SV163: $i,SV140: $i] :
      ( ( ( SV140 = SV163 )
        = $false )
      | ( ( ( m_Halt @ SV140 )
          = ( m_Halt @ SV163 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[754]) ).

thf(809,plain,
    ! [SV164: $i,SV141: $i] :
      ( ( ( ( m_NormQ @ SV141 )
          = ( m_NormQ @ SV164 ) )
        = $false )
      | ( ( SV141 = SV164 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[755]) ).

thf(810,plain,
    ! [SV165: $i,SV142: $i] :
      ( ( ( SV142 = SV165 )
        = $false )
      | ( ( ( m_NormQ @ SV142 )
          = ( m_NormQ @ SV165 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[756]) ).

thf(811,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( leq @ ( host @ SV143 ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) )
                    | ~ ( leq @ ( s @ zero ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) ) )
              | ~ ~ ( ~ ( ( ( sK7_V0 @ SV143 @ SV114 @ SV58 )
                         != ( host @ SV114 ) ) )
                    | ~ ~ ( setIn @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) @ ( index @ down @ ( host @ SV143 ) ) ) ) ) )
        = $true )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[757]) ).

thf(812,plain,
    ! [SV166: $i,SV144: $i] :
      ( ( ( ~ ( leq @ SV144 @ SV166 ) )
        = $true )
      | ( ( ~ ( leq @ SV166 @ SV144 ) )
        = $true )
      | ( ( SV144 = SV166 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[758]) ).

thf(813,plain,
    ! [SV177: $i] :
      ( ( ! [SY468: $i] :
            ( ( SV177 != SY468 )
            | ( leq @ SV177 @ SY468 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[759]) ).

thf(814,plain,
    ! [SV178: $i] :
      ( ( ! [SY469: $i] :
            ( ( SV178 != SY469 )
            | ( leq @ SY469 @ SV178 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[760]) ).

thf(815,plain,
    ! [SV167: $i,SV171: $i,SV59: $i] :
      ( ( ( ~ ( elem @ SV59 @ ( snoc @ SV171 @ SV167 ) ) )
        = $true )
      | ( ( ( SV59 = SV167 )
          | ( elem @ SV59 @ SV171 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[761]) ).

thf(816,plain,
    ! [SV59: $i] :
      ( ( ! [SY408: $i] :
            ( ( SV59 != SY408 )
            | ! [SY409: $i] : ( elem @ SV59 @ ( snoc @ SY409 @ SY408 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[762]) ).

thf(817,plain,
    ! [SV59: $i] :
      ( ( ! [SY410: $i,SY411: $i] :
            ( ~ ( elem @ SV59 @ SY411 )
            | ( elem @ SV59 @ ( snoc @ SY411 @ SY410 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[763]) ).

thf(818,plain,
    ! [SV168: $i,SV145: $i] :
      ( ( ( leq @ SV145 @ ( s @ SV168 ) )
        = $false )
      | ( ( ( SV145
            = ( s @ SV168 ) )
          | ( leq @ SV145 @ SV168 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[764]) ).

thf(819,plain,
    ! [SV179: $i] :
      ( ( ! [SY470: $i] :
            ( ( SV179
             != ( s @ SY470 ) )
            | ( leq @ SV179 @ ( s @ SY470 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[765]) ).

thf(820,plain,
    ! [SV180: $i] :
      ( ( ! [SY471: $i] :
            ( ~ ( leq @ SV180 @ SY471 )
            | ( leq @ SV180 @ ( s @ SY471 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[766]) ).

thf(821,plain,
    ! [SV146: $i] :
      ( ( ( setIn @ SV146 @ alive )
        = $false )
      | ( ( ( ( index @ status @ ( host @ SV146 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( index @ elid @ ( host @ SV146 ) )
          = SV146 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[767]) ).

thf(822,plain,
    ! [SV147: $i] :
      ( ( ( setIn @ SV147 @ alive )
        = $false )
      | ( ( ( ( index @ status @ ( host @ SV147 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( index @ elid @ ( host @ SV147 ) )
          = SV147 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[768]) ).

thf(823,plain,
    ! [SV172: $i,SV169: $i,SV60: $i] :
      ( ( ( ~ ( elem @ SV60 @ ( cons @ SV169 @ SV172 ) ) )
        = $true )
      | ( ( ( SV60 = SV169 )
          | ( elem @ SV60 @ SV172 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[769]) ).

thf(824,plain,
    ! [SV60: $i] :
      ( ( ! [SY414: $i] :
            ( ( SV60 != SY414 )
            | ! [SY415: $i] : ( elem @ SV60 @ ( cons @ SY414 @ SY415 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[770]) ).

thf(825,plain,
    ! [SV60: $i] :
      ( ( ! [SY416: $i,SY417: $i] :
            ( ~ ( elem @ SV60 @ SY417 )
            | ( elem @ SV60 @ ( cons @ SY416 @ SY417 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[771]) ).

thf(826,plain,
    ! [SV108: $i,SV37: $i,SV87: $i] :
      ( ( ( ordered @ ( cons @ ( m_Halt @ SV87 ) @ SV37 ) )
        = $false )
      | ( ( ( host @ SV87 )
          = ( host @ SV108 ) )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV108 ) @ SV37 ) )
        = $true )
      | ( ( leq @ SV87 @ SV108 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[772]) ).

thf(827,plain,
    ! [SV44: $i,SV119: $i,SV110: $i] :
      ( ( ( elem @ ( m_Down @ SV110 ) @ ( queue @ ( host @ SV119 ) ) )
        = $false )
      | ( ( ~ ( setIn @ SV119 @ alive ) )
        = $true )
      | ( ( ( ( host @ SV110 )
           != ( host @ SV44 ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV119 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV44 ) )
           != ( host @ SV44 ) )
          | ~ ( setIn @ SV44 @ alive )
          | ( ( index @ status @ ( host @ SV44 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[774]) ).

thf(828,plain,
    ! [SV90: $i,SV45: $i] :
      ( ( ( setIn @ SV45 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV45 ) @ ( host @ SV90 ) )
        = $true )
      | ( ( ~ ( setIn @ SV90 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV45 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV90 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV45 ) ) @ ( index @ pendack @ ( host @ SV90 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[775]) ).

thf(829,plain,
    ! [SV111: $i,SV46: $i] :
      ( ( ( ( ( index @ ldr @ ( host @ SV46 ) )
           != ( host @ SV46 ) )
          | ~ ( setIn @ SV46 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV46 ) )
           != norm ) )
        = $true )
      | ( ( setIn @ SV111 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV111 ) ) @ ( host @ SV46 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV111 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[776]) ).

thf(830,plain,
    ! [SV47: $i,SV120: $i,SV91: $i] :
      ( ( ( ( host @ SV91 )
          = ( host @ SV120 ) )
        = $false )
      | ( ( ~ ( setIn @ SV120 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV120 ) )
           != norm ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV120 ) )
           != ( host @ SV120 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV91 ) @ ( queue @ ( host @ SV47 ) ) )
          | ~ ( setIn @ SV47 @ alive ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[777]) ).

thf(831,plain,
    ! [SV92: $i,SV112: $i,SV48: $i] :
      ( ( ( ~ ( setIn @ SV48 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV112 @ alive ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV92 ) @ ( queue @ ( host @ SV48 ) ) ) )
        = $true )
      | ( ( ( ( host @ SV112 )
           != ( host @ SV92 ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV112 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV112 ) ) @ ( host @ SV48 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[778]) ).

thf(832,plain,
    ! [SV93: $i,SV121: $i,SV49: $i] :
      ( ( ( ~ ( setIn @ SV49 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV121 @ alive ) )
        = $true )
      | ( ( ( ( host @ SV121 )
           != ( host @ SV93 ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV49 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV121 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV49 @ SV93 ) @ ( queue @ ( host @ SV49 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[779]) ).

thf(833,plain,
    ! [SV50: $i,SV113: $i,SV150: $i] :
      ( ( ( setIn @ SV150 @ alive )
        = $false )
      | ( ( elem @ ( m_Ack @ SV150 @ SV113 ) @ ( queue @ ( host @ SV150 ) ) )
        = $false )
      | ( ( ( ( host @ SV113 )
           != ( host @ SV50 ) ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV50 ) )
           != ( host @ SV50 ) )
          | ~ ( setIn @ SV50 @ alive )
          | ( ( index @ status @ ( host @ SV50 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[780]) ).

thf(834,plain,
    ! [SV94: $i,SV51: $i] :
      ( ( ( setIn @ SV51 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV51 ) @ ( host @ SV94 ) )
        = $true )
      | ( ( ~ ( setIn @ SV94 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV51 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV94 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV94 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[781]) ).

thf(835,plain,
    ! [SV95: $i,SV52: $i,SV122: $i] :
      ( ( ( leq @ ( host @ SV122 ) @ ( host @ SV52 ) )
        = $true )
      | ( ( ~ ( setIn @ SV52 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ SV122 @ alive ) )
        = $true )
      | ( ( ( ( host @ SV122 )
           != ( host @ SV95 ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV122 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV95 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[782]) ).

thf(836,plain,
    ! [SV53: $i,SV96: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV96 ) )
          = ( host @ SV96 ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV96 ) )
          = norm )
        = $false )
      | ( ( setIn @ SV96 @ alive )
        = $false )
      | ( ( ~ ( setIn @ SV53 @ alive )
          | ~ ( setIn @ ( host @ SV96 ) @ ( index @ down @ ( host @ SV53 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[783]) ).

thf(837,plain,
    ! [SV54: $i,SV97: $i] :
      ( ( ( setIn @ SV97 @ alive )
        = $false )
      | ( ( setIn @ SV54 @ alive )
        = $false )
      | ( ( ~ ( setIn @ ( host @ SV97 ) @ ( index @ down @ ( host @ SV54 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV97 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV97 ) ) @ ( host @ SV54 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[784]) ).

thf(838,plain,
    ! [SV56: $i,SV99: $i] :
      ( ( ( setIn @ SV99 @ alive )
        = $false )
      | ( ( setIn @ SV56 @ alive )
        = $false )
      | ( ( SV99 = SV56 )
        = $true )
      | ( ( ( host @ SV99 )
          = ( host @ SV56 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[786]) ).

thf(839,plain,
    ! [SV127: $i] :
      ( ( ( ! [SY442: $i] :
              ( SV127
             != ( m_Halt @ SY442 ) ) )
        = $true )
      | ( ( pidElem @ SV127 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[789]) ).

thf(840,plain,
    ! [SV127: $i] :
      ( ( ( ! [SY443: $i] :
              ( SV127
             != ( m_Down @ SY443 ) ) )
        = $true )
      | ( ( pidElem @ SV127 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[790]) ).

thf(841,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK8_Y @ SV153 @ SV129 ) @ SV153 )
                            | ~ ( pidElem @ SV129 ) )
                      | ~ ( pidElem @ ( sK8_Y @ SV153 @ SV129 ) ) )
                | ( ( host @ ( pidMsg @ ( sK8_Y @ SV153 @ SV129 ) ) )
                 != ( host @ ( pidMsg @ SV129 ) ) ) )
          | ~ ~ ( leq @ ( pidMsg @ ( sK8_Y @ SV153 @ SV129 ) ) @ ( pidMsg @ SV129 ) ) )
        = $false )
      | ( ( ~ ( ordered @ SV153 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[792]) ).

thf(842,plain,
    ! [SV173: $i,SV181: $i] :
      ( ( ~ ( ordered @ ( snoc @ SV181 @ SV173 ) )
        | ! [SY472: $i] :
            ( ~ ( elem @ SY472 @ SV181 )
            | ~ ( pidElem @ SV173 )
            | ~ ( pidElem @ SY472 )
            | ( ( host @ ( pidMsg @ SY472 ) )
             != ( host @ ( pidMsg @ SV173 ) ) )
            | ( leq @ ( pidMsg @ SY472 ) @ ( pidMsg @ SV173 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[793]) ).

thf(843,plain,
    ! [SV174: $i,SV182: $i] :
      ( ( ~ ( ordered @ ( snoc @ SV182 @ SV174 ) )
        | ( ordered @ SV182 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[794]) ).

thf(844,plain,
    ( ( ~ ~ ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY166 ) ) @ ( host @ sK5_SY295 ) )
            | ~ ( setIn @ sK6_SY339 @ alive ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[795]) ).

thf(845,plain,
    ( ( ~ ~ ( ~ ~ ( ( ( index @ ldr @ ( host @ sK5_SY295 ) )
                   != ( host @ sK5_SY295 ) )
                  | ~ ( setIn @ sK5_SY295 @ alive ) )
            | ( ( index @ status @ ( host @ sK5_SY295 ) )
             != norm ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[795]) ).

thf(846,plain,
    ! [SV134: $i,SV158: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK9_Y @ SV158 @ SV134 ) @ SV158 )
                            | ~ ( pidElem @ SV134 ) )
                      | ~ ( pidElem @ ( sK9_Y @ SV158 @ SV134 ) ) )
                | ( ( host @ ( pidMsg @ ( sK9_Y @ SV158 @ SV134 ) ) )
                 != ( host @ ( pidMsg @ SV134 ) ) ) )
          | ~ ~ ( leq @ ( pidMsg @ SV134 ) @ ( pidMsg @ ( sK9_Y @ SV158 @ SV134 ) ) ) )
        = $false )
      | ( ( ~ ( ordered @ SV158 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[800]) ).

thf(847,plain,
    ! [SV183: $i,SV175: $i] :
      ( ( ~ ( ordered @ ( cons @ SV175 @ SV183 ) )
        | ! [SY473: $i] :
            ( ~ ( elem @ SY473 @ SV183 )
            | ~ ( pidElem @ SV175 )
            | ~ ( pidElem @ SY473 )
            | ( ( host @ ( pidMsg @ SY473 ) )
             != ( host @ ( pidMsg @ SV175 ) ) )
            | ( leq @ ( pidMsg @ SV175 ) @ ( pidMsg @ SY473 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[801]) ).

thf(848,plain,
    ! [SV184: $i,SV176: $i] :
      ( ( ~ ( ordered @ ( cons @ SV176 @ SV184 ) )
        | ( ordered @ SV184 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[802]) ).

thf(849,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( ~ ~ ( ~ ~ ( leq @ ( host @ SV143 ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) )
                | ~ ( leq @ ( s @ zero ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) ) )
          | ~ ~ ( ~ ( ( ( sK7_V0 @ SV143 @ SV114 @ SV58 )
                     != ( host @ SV114 ) ) )
                | ~ ~ ( setIn @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) @ ( index @ down @ ( host @ SV143 ) ) ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[811]) ).

thf(850,plain,
    ! [SV166: $i,SV144: $i] :
      ( ( ( leq @ SV144 @ SV166 )
        = $false )
      | ( ( ~ ( leq @ SV166 @ SV144 ) )
        = $true )
      | ( ( SV144 = SV166 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[812]) ).

thf(851,plain,
    ! [SV185: $i,SV177: $i] :
      ( ( ( SV177 != SV185 )
        | ( leq @ SV177 @ SV185 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[813]) ).

thf(852,plain,
    ! [SV186: $i,SV178: $i] :
      ( ( ( SV178 != SV186 )
        | ( leq @ SV186 @ SV178 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[814]) ).

thf(853,plain,
    ! [SV167: $i,SV171: $i,SV59: $i] :
      ( ( ( elem @ SV59 @ ( snoc @ SV171 @ SV167 ) )
        = $false )
      | ( ( ( SV59 = SV167 )
          | ( elem @ SV59 @ SV171 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[815]) ).

thf(854,plain,
    ! [SV187: $i,SV59: $i] :
      ( ( ( SV59 != SV187 )
        | ! [SY474: $i] : ( elem @ SV59 @ ( snoc @ SY474 @ SV187 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[816]) ).

thf(855,plain,
    ! [SV188: $i,SV59: $i] :
      ( ( ! [SY475: $i] :
            ( ~ ( elem @ SV59 @ SY475 )
            | ( elem @ SV59 @ ( snoc @ SY475 @ SV188 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[817]) ).

thf(856,plain,
    ! [SV168: $i,SV145: $i] :
      ( ( ( SV145
          = ( s @ SV168 ) )
        = $true )
      | ( ( leq @ SV145 @ SV168 )
        = $true )
      | ( ( leq @ SV145 @ ( s @ SV168 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[818]) ).

thf(857,plain,
    ! [SV189: $i,SV179: $i] :
      ( ( ( SV179
         != ( s @ SV189 ) )
        | ( leq @ SV179 @ ( s @ SV189 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[819]) ).

thf(858,plain,
    ! [SV190: $i,SV180: $i] :
      ( ( ~ ( leq @ SV180 @ SV190 )
        | ( leq @ SV180 @ ( s @ SV190 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[820]) ).

thf(859,plain,
    ! [SV146: $i] :
      ( ( ( ( index @ status @ ( host @ SV146 ) )
          = elec_1 )
        = $false )
      | ( ( setIn @ SV146 @ alive )
        = $false )
      | ( ( ( index @ elid @ ( host @ SV146 ) )
          = SV146 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[821]) ).

thf(860,plain,
    ! [SV147: $i] :
      ( ( ( ( index @ status @ ( host @ SV147 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV147 @ alive )
        = $false )
      | ( ( ( index @ elid @ ( host @ SV147 ) )
          = SV147 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[822]) ).

thf(861,plain,
    ! [SV172: $i,SV169: $i,SV60: $i] :
      ( ( ( elem @ SV60 @ ( cons @ SV169 @ SV172 ) )
        = $false )
      | ( ( ( SV60 = SV169 )
          | ( elem @ SV60 @ SV172 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[823]) ).

thf(862,plain,
    ! [SV191: $i,SV60: $i] :
      ( ( ( SV60 != SV191 )
        | ! [SY476: $i] : ( elem @ SV60 @ ( cons @ SV191 @ SY476 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[824]) ).

thf(863,plain,
    ! [SV192: $i,SV60: $i] :
      ( ( ! [SY477: $i] :
            ( ~ ( elem @ SV60 @ SY477 )
            | ( elem @ SV60 @ ( cons @ SV192 @ SY477 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[825]) ).

thf(864,plain,
    ! [SV87: $i,SV37: $i,SV108: $i] :
      ( ( ( elem @ ( m_Down @ SV108 ) @ SV37 )
        = $false )
      | ( ( ( host @ SV87 )
          = ( host @ SV108 ) )
        = $false )
      | ( ( ordered @ ( cons @ ( m_Halt @ SV87 ) @ SV37 ) )
        = $false )
      | ( ( leq @ SV87 @ SV108 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[826]) ).

thf(865,plain,
    ! [SV44: $i,SV110: $i,SV119: $i] :
      ( ( ( setIn @ SV119 @ alive )
        = $false )
      | ( ( elem @ ( m_Down @ SV110 ) @ ( queue @ ( host @ SV119 ) ) )
        = $false )
      | ( ( ( ( host @ SV110 )
           != ( host @ SV44 ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV119 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV44 ) )
           != ( host @ SV44 ) )
          | ~ ( setIn @ SV44 @ alive )
          | ( ( index @ status @ ( host @ SV44 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[827]) ).

thf(866,plain,
    ! [SV45: $i,SV90: $i] :
      ( ( ( setIn @ SV90 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV45 ) @ ( host @ SV90 ) )
        = $true )
      | ( ( setIn @ SV45 @ alive )
        = $false )
      | ( ( ( ( index @ status @ ( host @ SV45 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV90 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV45 ) ) @ ( index @ pendack @ ( host @ SV90 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[828]) ).

thf(867,plain,
    ! [SV111: $i,SV46: $i] :
      ( ( ( ( ( index @ ldr @ ( host @ SV46 ) )
           != ( host @ SV46 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV46 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV46 ) )
           != norm ) )
        = $true )
      | ( ( setIn @ SV111 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV111 ) ) @ ( host @ SV46 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV111 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[829]) ).

thf(868,plain,
    ! [SV47: $i,SV91: $i,SV120: $i] :
      ( ( ( setIn @ SV120 @ alive )
        = $false )
      | ( ( ( host @ SV91 )
          = ( host @ SV120 ) )
        = $false )
      | ( ( ( ( index @ status @ ( host @ SV120 ) )
           != norm ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV120 ) )
           != ( host @ SV120 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV91 ) @ ( queue @ ( host @ SV47 ) ) )
          | ~ ( setIn @ SV47 @ alive ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[830]) ).

thf(869,plain,
    ! [SV92: $i,SV112: $i,SV48: $i] :
      ( ( ( setIn @ SV48 @ alive )
        = $false )
      | ( ( ~ ( setIn @ SV112 @ alive ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV92 ) @ ( queue @ ( host @ SV48 ) ) ) )
        = $true )
      | ( ( ( ( host @ SV112 )
           != ( host @ SV92 ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV112 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV112 ) ) @ ( host @ SV48 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[831]) ).

thf(870,plain,
    ! [SV93: $i,SV121: $i,SV49: $i] :
      ( ( ( setIn @ SV49 @ alive )
        = $false )
      | ( ( ~ ( setIn @ SV121 @ alive ) )
        = $true )
      | ( ( ( ( host @ SV121 )
           != ( host @ SV93 ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV49 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV121 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV49 @ SV93 ) @ ( queue @ ( host @ SV49 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[832]) ).

thf(871,plain,
    ! [SV150: $i,SV50: $i,SV113: $i] :
      ( ( ( ( host @ SV113 )
          = ( host @ SV50 ) )
        = $false )
      | ( ( elem @ ( m_Ack @ SV150 @ SV113 ) @ ( queue @ ( host @ SV150 ) ) )
        = $false )
      | ( ( setIn @ SV150 @ alive )
        = $false )
      | ( ( ( ( index @ ldr @ ( host @ SV50 ) )
           != ( host @ SV50 ) )
          | ~ ( setIn @ SV50 @ alive )
          | ( ( index @ status @ ( host @ SV50 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[833]) ).

thf(872,plain,
    ! [SV51: $i,SV94: $i] :
      ( ( ( setIn @ SV94 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV51 ) @ ( host @ SV94 ) )
        = $true )
      | ( ( setIn @ SV51 @ alive )
        = $false )
      | ( ( ( ( index @ status @ ( host @ SV51 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV94 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV94 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[834]) ).

thf(873,plain,
    ! [SV95: $i,SV122: $i,SV52: $i] :
      ( ( ( setIn @ SV52 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV122 ) @ ( host @ SV52 ) )
        = $true )
      | ( ( ~ ( setIn @ SV122 @ alive ) )
        = $true )
      | ( ( ( ( host @ SV122 )
           != ( host @ SV95 ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV122 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV95 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[835]) ).

thf(874,plain,
    ! [SV96: $i,SV53: $i] :
      ( ( ( ~ ( setIn @ SV53 @ alive ) )
        = $true )
      | ( ( ~ ( setIn @ ( host @ SV96 ) @ ( index @ down @ ( host @ SV53 ) ) ) )
        = $true )
      | ( ( setIn @ SV96 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV96 ) )
          = norm )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV96 ) )
          = ( host @ SV96 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[836]) ).

thf(875,plain,
    ! [SV54: $i,SV97: $i] :
      ( ( ( setIn @ ( host @ SV97 ) @ ( index @ down @ ( host @ SV54 ) ) )
        = $false )
      | ( ( setIn @ SV54 @ alive )
        = $false )
      | ( ( setIn @ SV97 @ alive )
        = $false )
      | ( ( ( ( index @ status @ ( host @ SV97 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV97 ) ) @ ( host @ SV54 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[837]) ).

thf(876,plain,
    ! [SV193: $i,SV127: $i] :
      ( ( ( ( SV127
           != ( m_Halt @ SV193 ) ) )
        = $true )
      | ( ( pidElem @ SV127 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[839]) ).

thf(877,plain,
    ! [SV194: $i,SV127: $i] :
      ( ( ( ( SV127
           != ( m_Down @ SV194 ) ) )
        = $true )
      | ( ( pidElem @ SV127 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[840]) ).

thf(878,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK8_Y @ SV153 @ SV129 ) @ SV153 )
                            | ~ ( pidElem @ SV129 ) )
                      | ~ ( pidElem @ ( sK8_Y @ SV153 @ SV129 ) ) )
                | ( ( host @ ( pidMsg @ ( sK8_Y @ SV153 @ SV129 ) ) )
                 != ( host @ ( pidMsg @ SV129 ) ) ) ) )
        = $false )
      | ( ( ~ ( ordered @ SV153 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[841]) ).

thf(879,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( ~ ~ ( leq @ ( pidMsg @ ( sK8_Y @ SV153 @ SV129 ) ) @ ( pidMsg @ SV129 ) ) )
        = $false )
      | ( ( ~ ( ordered @ SV153 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[841]) ).

thf(880,plain,
    ! [SV173: $i,SV181: $i] :
      ( ( ( ~ ( ordered @ ( snoc @ SV181 @ SV173 ) ) )
        = $true )
      | ( ( ! [SY472: $i] :
              ( ~ ( elem @ SY472 @ SV181 )
              | ~ ( pidElem @ SV173 )
              | ~ ( pidElem @ SY472 )
              | ( ( host @ ( pidMsg @ SY472 ) )
               != ( host @ ( pidMsg @ SV173 ) ) )
              | ( leq @ ( pidMsg @ SY472 ) @ ( pidMsg @ SV173 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[842]) ).

thf(881,plain,
    ! [SV174: $i,SV182: $i] :
      ( ( ( ~ ( ordered @ ( snoc @ SV182 @ SV174 ) ) )
        = $true )
      | ( ( ordered @ SV182 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[843]) ).

thf(882,plain,
    ( ( ~ ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY166 ) ) @ ( host @ sK5_SY295 ) )
          | ~ ( setIn @ sK6_SY339 @ alive ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[844]) ).

thf(883,plain,
    ( ( ~ ( ~ ~ ( ( ( index @ ldr @ ( host @ sK5_SY295 ) )
                 != ( host @ sK5_SY295 ) )
                | ~ ( setIn @ sK5_SY295 @ alive ) )
          | ( ( index @ status @ ( host @ sK5_SY295 ) )
           != norm ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[845]) ).

thf(884,plain,
    ! [SV134: $i,SV158: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK9_Y @ SV158 @ SV134 ) @ SV158 )
                            | ~ ( pidElem @ SV134 ) )
                      | ~ ( pidElem @ ( sK9_Y @ SV158 @ SV134 ) ) )
                | ( ( host @ ( pidMsg @ ( sK9_Y @ SV158 @ SV134 ) ) )
                 != ( host @ ( pidMsg @ SV134 ) ) ) ) )
        = $false )
      | ( ( ~ ( ordered @ SV158 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[846]) ).

thf(885,plain,
    ! [SV158: $i,SV134: $i] :
      ( ( ( ~ ~ ( leq @ ( pidMsg @ SV134 ) @ ( pidMsg @ ( sK9_Y @ SV158 @ SV134 ) ) ) )
        = $false )
      | ( ( ~ ( ordered @ SV158 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[846]) ).

thf(886,plain,
    ! [SV183: $i,SV175: $i] :
      ( ( ( ~ ( ordered @ ( cons @ SV175 @ SV183 ) ) )
        = $true )
      | ( ( ! [SY473: $i] :
              ( ~ ( elem @ SY473 @ SV183 )
              | ~ ( pidElem @ SV175 )
              | ~ ( pidElem @ SY473 )
              | ( ( host @ ( pidMsg @ SY473 ) )
               != ( host @ ( pidMsg @ SV175 ) ) )
              | ( leq @ ( pidMsg @ SV175 ) @ ( pidMsg @ SY473 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[847]) ).

thf(887,plain,
    ! [SV184: $i,SV176: $i] :
      ( ( ( ~ ( ordered @ ( cons @ SV176 @ SV184 ) ) )
        = $true )
      | ( ( ordered @ SV184 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[848]) ).

thf(888,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( ~ ~ ( ~ ~ ( leq @ ( host @ SV143 ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) )
                | ~ ( leq @ ( s @ zero ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[849]) ).

thf(889,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( ~ ~ ( ~ ( ( ( sK7_V0 @ SV143 @ SV114 @ SV58 )
                     != ( host @ SV114 ) ) )
                | ~ ~ ( setIn @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) @ ( index @ down @ ( host @ SV143 ) ) ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[849]) ).

thf(890,plain,
    ! [SV144: $i,SV166: $i] :
      ( ( ( leq @ SV166 @ SV144 )
        = $false )
      | ( ( leq @ SV144 @ SV166 )
        = $false )
      | ( ( SV144 = SV166 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[850]) ).

thf(891,plain,
    ! [SV185: $i,SV177: $i] :
      ( ( ( ( SV177 != SV185 ) )
        = $true )
      | ( ( leq @ SV177 @ SV185 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[851]) ).

thf(892,plain,
    ! [SV186: $i,SV178: $i] :
      ( ( ( ( SV178 != SV186 ) )
        = $true )
      | ( ( leq @ SV186 @ SV178 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[852]) ).

thf(893,plain,
    ! [SV171: $i,SV167: $i,SV59: $i] :
      ( ( ( SV59 = SV167 )
        = $true )
      | ( ( elem @ SV59 @ SV171 )
        = $true )
      | ( ( elem @ SV59 @ ( snoc @ SV171 @ SV167 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[853]) ).

thf(894,plain,
    ! [SV187: $i,SV59: $i] :
      ( ( ( ( SV59 != SV187 ) )
        = $true )
      | ( ( ! [SY474: $i] : ( elem @ SV59 @ ( snoc @ SY474 @ SV187 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[854]) ).

thf(895,plain,
    ! [SV188: $i,SV195: $i,SV59: $i] :
      ( ( ~ ( elem @ SV59 @ SV195 )
        | ( elem @ SV59 @ ( snoc @ SV195 @ SV188 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[855]) ).

thf(896,plain,
    ! [SV189: $i,SV179: $i] :
      ( ( ( ( SV179
           != ( s @ SV189 ) ) )
        = $true )
      | ( ( leq @ SV179 @ ( s @ SV189 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[857]) ).

thf(897,plain,
    ! [SV190: $i,SV180: $i] :
      ( ( ( ~ ( leq @ SV180 @ SV190 ) )
        = $true )
      | ( ( leq @ SV180 @ ( s @ SV190 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[858]) ).

thf(898,plain,
    ! [SV172: $i,SV169: $i,SV60: $i] :
      ( ( ( SV60 = SV169 )
        = $true )
      | ( ( elem @ SV60 @ SV172 )
        = $true )
      | ( ( elem @ SV60 @ ( cons @ SV169 @ SV172 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[861]) ).

thf(899,plain,
    ! [SV191: $i,SV60: $i] :
      ( ( ( ( SV60 != SV191 ) )
        = $true )
      | ( ( ! [SY476: $i] : ( elem @ SV60 @ ( cons @ SV191 @ SY476 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[862]) ).

thf(900,plain,
    ! [SV192: $i,SV196: $i,SV60: $i] :
      ( ( ~ ( elem @ SV60 @ SV196 )
        | ( elem @ SV60 @ ( cons @ SV192 @ SV196 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[863]) ).

thf(901,plain,
    ! [SV119: $i,SV44: $i,SV110: $i] :
      ( ( ( ( host @ SV110 )
          = ( host @ SV44 ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV110 ) @ ( queue @ ( host @ SV119 ) ) )
        = $false )
      | ( ( setIn @ SV119 @ alive )
        = $false )
      | ( ( ( ( index @ status @ ( host @ SV119 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV44 ) )
           != ( host @ SV44 ) )
          | ~ ( setIn @ SV44 @ alive )
          | ( ( index @ status @ ( host @ SV44 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[865]) ).

thf(902,plain,
    ! [SV90: $i,SV45: $i] :
      ( ( ( ( index @ status @ ( host @ SV45 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV45 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV45 ) @ ( host @ SV90 ) )
        = $true )
      | ( ( setIn @ SV90 @ alive )
        = $false )
      | ( ( ( ( index @ status @ ( host @ SV90 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV45 ) ) @ ( index @ pendack @ ( host @ SV90 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[866]) ).

thf(903,plain,
    ! [SV111: $i,SV46: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV46 ) )
          = ( host @ SV46 ) )
        = $false )
      | ( ( ~ ( setIn @ SV46 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV46 ) )
           != norm ) )
        = $true )
      | ( ( setIn @ SV111 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV111 ) ) @ ( host @ SV46 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV111 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[867]) ).

thf(904,plain,
    ! [SV47: $i,SV91: $i,SV120: $i] :
      ( ( ( ( index @ status @ ( host @ SV120 ) )
          = norm )
        = $false )
      | ( ( ( host @ SV91 )
          = ( host @ SV120 ) )
        = $false )
      | ( ( setIn @ SV120 @ alive )
        = $false )
      | ( ( ( ( index @ ldr @ ( host @ SV120 ) )
           != ( host @ SV120 ) ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV91 ) @ ( queue @ ( host @ SV47 ) ) )
          | ~ ( setIn @ SV47 @ alive ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[868]) ).

thf(905,plain,
    ! [SV92: $i,SV48: $i,SV112: $i] :
      ( ( ( setIn @ SV112 @ alive )
        = $false )
      | ( ( setIn @ SV48 @ alive )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV92 ) @ ( queue @ ( host @ SV48 ) ) ) )
        = $true )
      | ( ( ( ( host @ SV112 )
           != ( host @ SV92 ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV112 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV112 ) ) @ ( host @ SV48 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[869]) ).

thf(906,plain,
    ! [SV93: $i,SV49: $i,SV121: $i] :
      ( ( ( setIn @ SV121 @ alive )
        = $false )
      | ( ( setIn @ SV49 @ alive )
        = $false )
      | ( ( ( ( host @ SV121 )
           != ( host @ SV93 ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV49 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV121 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV49 @ SV93 ) @ ( queue @ ( host @ SV49 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[870]) ).

thf(907,plain,
    ! [SV113: $i,SV150: $i,SV50: $i] :
      ( ( ( ( ( index @ ldr @ ( host @ SV50 ) )
           != ( host @ SV50 ) )
          | ~ ( setIn @ SV50 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV50 ) )
           != norm ) )
        = $true )
      | ( ( setIn @ SV150 @ alive )
        = $false )
      | ( ( elem @ ( m_Ack @ SV150 @ SV113 ) @ ( queue @ ( host @ SV150 ) ) )
        = $false )
      | ( ( ( host @ SV113 )
          = ( host @ SV50 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[871]) ).

thf(908,plain,
    ! [SV94: $i,SV51: $i] :
      ( ( ( ( index @ status @ ( host @ SV51 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV51 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV51 ) @ ( host @ SV94 ) )
        = $true )
      | ( ( setIn @ SV94 @ alive )
        = $false )
      | ( ( ( ( index @ status @ ( host @ SV94 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV94 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[872]) ).

thf(909,plain,
    ! [SV95: $i,SV52: $i,SV122: $i] :
      ( ( ( setIn @ SV122 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV122 ) @ ( host @ SV52 ) )
        = $true )
      | ( ( setIn @ SV52 @ alive )
        = $false )
      | ( ( ( ( host @ SV122 )
           != ( host @ SV95 ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV122 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV95 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[873]) ).

thf(910,plain,
    ! [SV96: $i,SV53: $i] :
      ( ( ( setIn @ SV53 @ alive )
        = $false )
      | ( ( ~ ( setIn @ ( host @ SV96 ) @ ( index @ down @ ( host @ SV53 ) ) ) )
        = $true )
      | ( ( setIn @ SV96 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV96 ) )
          = norm )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV96 ) )
          = ( host @ SV96 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[874]) ).

thf(911,plain,
    ! [SV54: $i,SV97: $i] :
      ( ( ( ( index @ status @ ( host @ SV97 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV97 @ alive )
        = $false )
      | ( ( setIn @ SV54 @ alive )
        = $false )
      | ( ( setIn @ ( host @ SV97 ) @ ( index @ down @ ( host @ SV54 ) ) )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV97 ) ) @ ( host @ SV54 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[875]) ).

thf(912,plain,
    ! [SV193: $i,SV127: $i] :
      ( ( ( SV127
          = ( m_Halt @ SV193 ) )
        = $false )
      | ( ( pidElem @ SV127 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[876]) ).

thf(913,plain,
    ! [SV194: $i,SV127: $i] :
      ( ( ( SV127
          = ( m_Down @ SV194 ) )
        = $false )
      | ( ( pidElem @ SV127 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[877]) ).

thf(914,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK8_Y @ SV153 @ SV129 ) @ SV153 )
                          | ~ ( pidElem @ SV129 ) )
                    | ~ ( pidElem @ ( sK8_Y @ SV153 @ SV129 ) ) )
              | ( ( host @ ( pidMsg @ ( sK8_Y @ SV153 @ SV129 ) ) )
               != ( host @ ( pidMsg @ SV129 ) ) ) ) )
        = $true )
      | ( ( ~ ( ordered @ SV153 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[878]) ).

thf(915,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( ~ ( leq @ ( pidMsg @ ( sK8_Y @ SV153 @ SV129 ) ) @ ( pidMsg @ SV129 ) ) )
        = $true )
      | ( ( ~ ( ordered @ SV153 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[879]) ).

thf(916,plain,
    ! [SV173: $i,SV181: $i] :
      ( ( ( ordered @ ( snoc @ SV181 @ SV173 ) )
        = $false )
      | ( ( ! [SY472: $i] :
              ( ~ ( elem @ SY472 @ SV181 )
              | ~ ( pidElem @ SV173 )
              | ~ ( pidElem @ SY472 )
              | ( ( host @ ( pidMsg @ SY472 ) )
               != ( host @ ( pidMsg @ SV173 ) ) )
              | ( leq @ ( pidMsg @ SY472 ) @ ( pidMsg @ SV173 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[880]) ).

thf(917,plain,
    ! [SV174: $i,SV182: $i] :
      ( ( ( ordered @ ( snoc @ SV182 @ SV174 ) )
        = $false )
      | ( ( ordered @ SV182 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[881]) ).

thf(918,plain,
    ( ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY166 ) ) @ ( host @ sK5_SY295 ) )
      | ~ ( setIn @ sK6_SY339 @ alive ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[882]) ).

thf(919,plain,
    ( ( ~ ~ ( ( ( index @ ldr @ ( host @ sK5_SY295 ) )
             != ( host @ sK5_SY295 ) )
            | ~ ( setIn @ sK5_SY295 @ alive ) )
      | ( ( index @ status @ ( host @ sK5_SY295 ) )
       != norm ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[883]) ).

thf(920,plain,
    ! [SV134: $i,SV158: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK9_Y @ SV158 @ SV134 ) @ SV158 )
                          | ~ ( pidElem @ SV134 ) )
                    | ~ ( pidElem @ ( sK9_Y @ SV158 @ SV134 ) ) )
              | ( ( host @ ( pidMsg @ ( sK9_Y @ SV158 @ SV134 ) ) )
               != ( host @ ( pidMsg @ SV134 ) ) ) ) )
        = $true )
      | ( ( ~ ( ordered @ SV158 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[884]) ).

thf(921,plain,
    ! [SV158: $i,SV134: $i] :
      ( ( ( ~ ( leq @ ( pidMsg @ SV134 ) @ ( pidMsg @ ( sK9_Y @ SV158 @ SV134 ) ) ) )
        = $true )
      | ( ( ~ ( ordered @ SV158 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[885]) ).

thf(922,plain,
    ! [SV183: $i,SV175: $i] :
      ( ( ( ordered @ ( cons @ SV175 @ SV183 ) )
        = $false )
      | ( ( ! [SY473: $i] :
              ( ~ ( elem @ SY473 @ SV183 )
              | ~ ( pidElem @ SV175 )
              | ~ ( pidElem @ SY473 )
              | ( ( host @ ( pidMsg @ SY473 ) )
               != ( host @ ( pidMsg @ SV175 ) ) )
              | ( leq @ ( pidMsg @ SV175 ) @ ( pidMsg @ SY473 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[886]) ).

thf(923,plain,
    ! [SV184: $i,SV176: $i] :
      ( ( ( ordered @ ( cons @ SV176 @ SV184 ) )
        = $false )
      | ( ( ordered @ SV184 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[887]) ).

thf(924,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( ~ ( ~ ~ ( leq @ ( host @ SV143 ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) )
              | ~ ( leq @ ( s @ zero ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) ) ) )
        = $true )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[888]) ).

thf(925,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( ~ ( ~ ( ( ( sK7_V0 @ SV143 @ SV114 @ SV58 )
                   != ( host @ SV114 ) ) )
              | ~ ~ ( setIn @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) @ ( index @ down @ ( host @ SV143 ) ) ) ) )
        = $true )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[889]) ).

thf(926,plain,
    ! [SV185: $i,SV177: $i] :
      ( ( ( SV177 = SV185 )
        = $false )
      | ( ( leq @ SV177 @ SV185 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[891]) ).

thf(927,plain,
    ! [SV186: $i,SV178: $i] :
      ( ( ( SV178 = SV186 )
        = $false )
      | ( ( leq @ SV186 @ SV178 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[892]) ).

thf(928,plain,
    ! [SV187: $i,SV59: $i] :
      ( ( ( SV59 = SV187 )
        = $false )
      | ( ( ! [SY474: $i] : ( elem @ SV59 @ ( snoc @ SY474 @ SV187 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[894]) ).

thf(929,plain,
    ! [SV188: $i,SV195: $i,SV59: $i] :
      ( ( ( ~ ( elem @ SV59 @ SV195 ) )
        = $true )
      | ( ( elem @ SV59 @ ( snoc @ SV195 @ SV188 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[895]) ).

thf(930,plain,
    ! [SV189: $i,SV179: $i] :
      ( ( ( SV179
          = ( s @ SV189 ) )
        = $false )
      | ( ( leq @ SV179 @ ( s @ SV189 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[896]) ).

thf(931,plain,
    ! [SV190: $i,SV180: $i] :
      ( ( ( leq @ SV180 @ SV190 )
        = $false )
      | ( ( leq @ SV180 @ ( s @ SV190 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[897]) ).

thf(932,plain,
    ! [SV191: $i,SV60: $i] :
      ( ( ( SV60 = SV191 )
        = $false )
      | ( ( ! [SY476: $i] : ( elem @ SV60 @ ( cons @ SV191 @ SY476 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[899]) ).

thf(933,plain,
    ! [SV192: $i,SV196: $i,SV60: $i] :
      ( ( ( ~ ( elem @ SV60 @ SV196 ) )
        = $true )
      | ( ( elem @ SV60 @ ( cons @ SV192 @ SV196 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[900]) ).

thf(934,plain,
    ! [SV44: $i,SV110: $i,SV119: $i] :
      ( ( ( ( index @ status @ ( host @ SV119 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV119 @ alive )
        = $false )
      | ( ( elem @ ( m_Down @ SV110 ) @ ( queue @ ( host @ SV119 ) ) )
        = $false )
      | ( ( ( host @ SV110 )
          = ( host @ SV44 ) )
        = $false )
      | ( ( ( ( index @ ldr @ ( host @ SV44 ) )
           != ( host @ SV44 ) )
          | ~ ( setIn @ SV44 @ alive )
          | ( ( index @ status @ ( host @ SV44 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[901]) ).

thf(935,plain,
    ! [SV45: $i,SV90: $i] :
      ( ( ( ( index @ status @ ( host @ SV90 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV90 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV45 ) @ ( host @ SV90 ) )
        = $true )
      | ( ( setIn @ SV45 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV45 ) )
          = elec_2 )
        = $false )
      | ( ( ~ ( leq @ ( index @ pendack @ ( host @ SV45 ) ) @ ( index @ pendack @ ( host @ SV90 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[902]) ).

thf(936,plain,
    ! [SV111: $i,SV46: $i] :
      ( ( ( setIn @ SV46 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV46 ) )
          = ( host @ SV46 ) )
        = $false )
      | ( ( ( ( index @ status @ ( host @ SV46 ) )
           != norm ) )
        = $true )
      | ( ( setIn @ SV111 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV111 ) ) @ ( host @ SV46 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV111 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[903]) ).

thf(937,plain,
    ! [SV47: $i,SV91: $i,SV120: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV120 ) )
          = ( host @ SV120 ) )
        = $false )
      | ( ( setIn @ SV120 @ alive )
        = $false )
      | ( ( ( host @ SV91 )
          = ( host @ SV120 ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV120 ) )
          = norm )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV91 ) @ ( queue @ ( host @ SV47 ) ) )
          | ~ ( setIn @ SV47 @ alive ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[904]) ).

thf(938,plain,
    ! [SV112: $i,SV48: $i,SV92: $i] :
      ( ( ( elem @ ( m_Down @ SV92 ) @ ( queue @ ( host @ SV48 ) ) )
        = $false )
      | ( ( setIn @ SV48 @ alive )
        = $false )
      | ( ( setIn @ SV112 @ alive )
        = $false )
      | ( ( ( ( host @ SV112 )
           != ( host @ SV92 ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV112 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV112 ) ) @ ( host @ SV48 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[905]) ).

thf(939,plain,
    ! [SV49: $i,SV93: $i,SV121: $i] :
      ( ( ( ( host @ SV121 )
          = ( host @ SV93 ) )
        = $false )
      | ( ( setIn @ SV49 @ alive )
        = $false )
      | ( ( setIn @ SV121 @ alive )
        = $false )
      | ( ( ( ( index @ status @ ( host @ SV49 ) )
           != elec_2 ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV121 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV49 @ SV93 ) @ ( queue @ ( host @ SV49 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[906]) ).

thf(940,plain,
    ! [SV113: $i,SV150: $i,SV50: $i] :
      ( ( ( ( ( index @ ldr @ ( host @ SV50 ) )
           != ( host @ SV50 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV50 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV50 ) )
           != norm ) )
        = $true )
      | ( ( setIn @ SV150 @ alive )
        = $false )
      | ( ( elem @ ( m_Ack @ SV150 @ SV113 ) @ ( queue @ ( host @ SV150 ) ) )
        = $false )
      | ( ( ( host @ SV113 )
          = ( host @ SV50 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[907]) ).

thf(941,plain,
    ! [SV51: $i,SV94: $i] :
      ( ( ( ( index @ status @ ( host @ SV94 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV94 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV51 ) @ ( host @ SV94 ) )
        = $true )
      | ( ( setIn @ SV51 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV51 ) )
          = elec_2 )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV94 ) ) @ ( host @ SV51 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[908]) ).

thf(942,plain,
    ! [SV52: $i,SV95: $i,SV122: $i] :
      ( ( ( ( host @ SV122 )
          = ( host @ SV95 ) )
        = $false )
      | ( ( setIn @ SV52 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV122 ) @ ( host @ SV52 ) )
        = $true )
      | ( ( setIn @ SV122 @ alive )
        = $false )
      | ( ( ( ( index @ status @ ( host @ SV122 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV95 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[909]) ).

thf(943,plain,
    ! [SV53: $i,SV96: $i] :
      ( ( ( setIn @ ( host @ SV96 ) @ ( index @ down @ ( host @ SV53 ) ) )
        = $false )
      | ( ( setIn @ SV53 @ alive )
        = $false )
      | ( ( setIn @ SV96 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV96 ) )
          = norm )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV96 ) )
          = ( host @ SV96 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[910]) ).

thf(944,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK8_Y @ SV153 @ SV129 ) @ SV153 )
                      | ~ ( pidElem @ SV129 ) )
                | ~ ( pidElem @ ( sK8_Y @ SV153 @ SV129 ) ) )
          | ( ( host @ ( pidMsg @ ( sK8_Y @ SV153 @ SV129 ) ) )
           != ( host @ ( pidMsg @ SV129 ) ) ) )
        = $false )
      | ( ( ~ ( ordered @ SV153 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[914]) ).

thf(945,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( leq @ ( pidMsg @ ( sK8_Y @ SV153 @ SV129 ) ) @ ( pidMsg @ SV129 ) )
        = $false )
      | ( ( ~ ( ordered @ SV153 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[915]) ).

thf(946,plain,
    ! [SV173: $i,SV181: $i,SV197: $i] :
      ( ( ( ~ ( elem @ SV197 @ SV181 )
          | ~ ( pidElem @ SV173 )
          | ~ ( pidElem @ SV197 )
          | ( ( host @ ( pidMsg @ SV197 ) )
           != ( host @ ( pidMsg @ SV173 ) ) )
          | ( leq @ ( pidMsg @ SV197 ) @ ( pidMsg @ SV173 ) ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV181 @ SV173 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[916]) ).

thf(947,plain,
    ( ( ~ ~ ( leq @ ( s @ ( host @ sK3_SY166 ) ) @ ( host @ sK5_SY295 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[918]) ).

thf(948,plain,
    ( ( ~ ( setIn @ sK6_SY339 @ alive ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[918]) ).

thf(949,plain,
    ( ( ~ ~ ( ( ( index @ ldr @ ( host @ sK5_SY295 ) )
             != ( host @ sK5_SY295 ) )
            | ~ ( setIn @ sK5_SY295 @ alive ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[919]) ).

thf(950,plain,
    ( ( ( ( index @ status @ ( host @ sK5_SY295 ) )
       != norm ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[919]) ).

thf(951,plain,
    ! [SV134: $i,SV158: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK9_Y @ SV158 @ SV134 ) @ SV158 )
                      | ~ ( pidElem @ SV134 ) )
                | ~ ( pidElem @ ( sK9_Y @ SV158 @ SV134 ) ) )
          | ( ( host @ ( pidMsg @ ( sK9_Y @ SV158 @ SV134 ) ) )
           != ( host @ ( pidMsg @ SV134 ) ) ) )
        = $false )
      | ( ( ~ ( ordered @ SV158 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[920]) ).

thf(952,plain,
    ! [SV158: $i,SV134: $i] :
      ( ( ( leq @ ( pidMsg @ SV134 ) @ ( pidMsg @ ( sK9_Y @ SV158 @ SV134 ) ) )
        = $false )
      | ( ( ~ ( ordered @ SV158 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[921]) ).

thf(953,plain,
    ! [SV175: $i,SV183: $i,SV198: $i] :
      ( ( ( ~ ( elem @ SV198 @ SV183 )
          | ~ ( pidElem @ SV175 )
          | ~ ( pidElem @ SV198 )
          | ( ( host @ ( pidMsg @ SV198 ) )
           != ( host @ ( pidMsg @ SV175 ) ) )
          | ( leq @ ( pidMsg @ SV175 ) @ ( pidMsg @ SV198 ) ) )
        = $true )
      | ( ( ordered @ ( cons @ SV175 @ SV183 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[922]) ).

thf(954,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( ~ ~ ( leq @ ( host @ SV143 ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) )
          | ~ ( leq @ ( s @ zero ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[924]) ).

thf(955,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( ~ ( ( ( sK7_V0 @ SV143 @ SV114 @ SV58 )
               != ( host @ SV114 ) ) )
          | ~ ~ ( setIn @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) @ ( index @ down @ ( host @ SV143 ) ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[925]) ).

thf(956,plain,
    ! [SV187: $i,SV199: $i,SV59: $i] :
      ( ( ( elem @ SV59 @ ( snoc @ SV199 @ SV187 ) )
        = $true )
      | ( ( SV59 = SV187 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[928]) ).

thf(957,plain,
    ! [SV188: $i,SV195: $i,SV59: $i] :
      ( ( ( elem @ SV59 @ SV195 )
        = $false )
      | ( ( elem @ SV59 @ ( snoc @ SV195 @ SV188 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[929]) ).

thf(958,plain,
    ! [SV200: $i,SV191: $i,SV60: $i] :
      ( ( ( elem @ SV60 @ ( cons @ SV191 @ SV200 ) )
        = $true )
      | ( ( SV60 = SV191 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[932]) ).

thf(959,plain,
    ! [SV192: $i,SV196: $i,SV60: $i] :
      ( ( ( elem @ SV60 @ SV196 )
        = $false )
      | ( ( elem @ SV60 @ ( cons @ SV192 @ SV196 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[933]) ).

thf(960,plain,
    ! [SV119: $i,SV110: $i,SV44: $i] :
      ( ( ( ( ( index @ ldr @ ( host @ SV44 ) )
           != ( host @ SV44 ) )
          | ~ ( setIn @ SV44 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV44 ) )
           != norm ) )
        = $true )
      | ( ( ( host @ SV110 )
          = ( host @ SV44 ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV110 ) @ ( queue @ ( host @ SV119 ) ) )
        = $false )
      | ( ( setIn @ SV119 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV119 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[934]) ).

thf(961,plain,
    ! [SV90: $i,SV45: $i] :
      ( ( ( leq @ ( index @ pendack @ ( host @ SV45 ) ) @ ( index @ pendack @ ( host @ SV90 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV45 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV45 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV45 ) @ ( host @ SV90 ) )
        = $true )
      | ( ( setIn @ SV90 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV90 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[935]) ).

thf(962,plain,
    ! [SV111: $i,SV46: $i] :
      ( ( ( ( index @ status @ ( host @ SV46 ) )
          = norm )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV46 ) )
          = ( host @ SV46 ) )
        = $false )
      | ( ( setIn @ SV46 @ alive )
        = $false )
      | ( ( setIn @ SV111 @ alive )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV111 ) ) @ ( host @ SV46 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV111 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[936]) ).

thf(963,plain,
    ! [SV120: $i,SV47: $i,SV91: $i] :
      ( ( ( ~ ( elem @ ( m_Down @ SV91 ) @ ( queue @ ( host @ SV47 ) ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV47 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV120 ) )
          = norm )
        = $false )
      | ( ( ( host @ SV91 )
          = ( host @ SV120 ) )
        = $false )
      | ( ( setIn @ SV120 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV120 ) )
          = ( host @ SV120 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[937]) ).

thf(964,plain,
    ! [SV48: $i,SV92: $i,SV112: $i] :
      ( ( ( ( host @ SV112 )
          = ( host @ SV92 ) )
        = $false )
      | ( ( setIn @ SV112 @ alive )
        = $false )
      | ( ( setIn @ SV48 @ alive )
        = $false )
      | ( ( elem @ ( m_Down @ SV92 ) @ ( queue @ ( host @ SV48 ) ) )
        = $false )
      | ( ( ( ( index @ status @ ( host @ SV112 ) )
           != elec_2 ) )
        = $true )
      | ( ( leq @ ( index @ pendack @ ( host @ SV112 ) ) @ ( host @ SV48 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[938]) ).

thf(965,plain,
    ! [SV93: $i,SV121: $i,SV49: $i] :
      ( ( ( ( index @ status @ ( host @ SV49 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV121 @ alive )
        = $false )
      | ( ( setIn @ SV49 @ alive )
        = $false )
      | ( ( ( host @ SV121 )
          = ( host @ SV93 ) )
        = $false )
      | ( ( ( ( index @ status @ ( host @ SV121 ) )
           != elec_2 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Ack @ SV49 @ SV93 ) @ ( queue @ ( host @ SV49 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[939]) ).

thf(966,plain,
    ! [SV113: $i,SV150: $i,SV50: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV50 ) )
          = ( host @ SV50 ) )
        = $false )
      | ( ( ~ ( setIn @ SV50 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV50 ) )
           != norm ) )
        = $true )
      | ( ( setIn @ SV150 @ alive )
        = $false )
      | ( ( elem @ ( m_Ack @ SV150 @ SV113 ) @ ( queue @ ( host @ SV150 ) ) )
        = $false )
      | ( ( ( host @ SV113 )
          = ( host @ SV50 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[940]) ).

thf(967,plain,
    ! [SV95: $i,SV52: $i,SV122: $i] :
      ( ( ( ( index @ status @ ( host @ SV122 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV122 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV122 ) @ ( host @ SV52 ) )
        = $true )
      | ( ( setIn @ SV52 @ alive )
        = $false )
      | ( ( ( host @ SV122 )
          = ( host @ SV95 ) )
        = $false )
      | ( ( ~ ( elem @ ( m_Down @ SV95 ) @ ( queue @ ( host @ SV52 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[942]) ).

thf(968,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK8_Y @ SV153 @ SV129 ) @ SV153 )
                      | ~ ( pidElem @ SV129 ) )
                | ~ ( pidElem @ ( sK8_Y @ SV153 @ SV129 ) ) ) )
        = $false )
      | ( ( ~ ( ordered @ SV153 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[944]) ).

thf(969,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( ( ( host @ ( pidMsg @ ( sK8_Y @ SV153 @ SV129 ) ) )
           != ( host @ ( pidMsg @ SV129 ) ) ) )
        = $false )
      | ( ( ~ ( ordered @ SV153 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[944]) ).

thf(970,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( ordered @ SV153 )
        = $false )
      | ( ( leq @ ( pidMsg @ ( sK8_Y @ SV153 @ SV129 ) ) @ ( pidMsg @ SV129 ) )
        = $false )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[945]) ).

thf(971,plain,
    ! [SV173: $i,SV181: $i,SV197: $i] :
      ( ( ( ~ ( elem @ SV197 @ SV181 )
          | ~ ( pidElem @ SV173 )
          | ~ ( pidElem @ SV197 )
          | ( ( host @ ( pidMsg @ SV197 ) )
           != ( host @ ( pidMsg @ SV173 ) ) ) )
        = $true )
      | ( ( leq @ ( pidMsg @ SV197 ) @ ( pidMsg @ SV173 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV181 @ SV173 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[946]) ).

thf(972,plain,
    ( ( ~ ( leq @ ( s @ ( host @ sK3_SY166 ) ) @ ( host @ sK5_SY295 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[947]) ).

thf(973,plain,
    ( ( setIn @ sK6_SY339 @ alive )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[948]) ).

thf(974,plain,
    ( ( ~ ( ( ( index @ ldr @ ( host @ sK5_SY295 ) )
           != ( host @ sK5_SY295 ) )
          | ~ ( setIn @ sK5_SY295 @ alive ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[949]) ).

thf(975,plain,
    ( ( ( index @ status @ ( host @ sK5_SY295 ) )
      = norm )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[950]) ).

thf(976,plain,
    ! [SV134: $i,SV158: $i] :
      ( ( ( ~ ~ ( ~ ~ ( ~ ( elem @ ( sK9_Y @ SV158 @ SV134 ) @ SV158 )
                      | ~ ( pidElem @ SV134 ) )
                | ~ ( pidElem @ ( sK9_Y @ SV158 @ SV134 ) ) ) )
        = $false )
      | ( ( ~ ( ordered @ SV158 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[951]) ).

thf(977,plain,
    ! [SV134: $i,SV158: $i] :
      ( ( ( ( ( host @ ( pidMsg @ ( sK9_Y @ SV158 @ SV134 ) ) )
           != ( host @ ( pidMsg @ SV134 ) ) ) )
        = $false )
      | ( ( ~ ( ordered @ SV158 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[951]) ).

thf(978,plain,
    ! [SV134: $i,SV158: $i] :
      ( ( ( ordered @ SV158 )
        = $false )
      | ( ( leq @ ( pidMsg @ SV134 ) @ ( pidMsg @ ( sK9_Y @ SV158 @ SV134 ) ) )
        = $false )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[952]) ).

thf(979,plain,
    ! [SV175: $i,SV183: $i,SV198: $i] :
      ( ( ( ~ ( elem @ SV198 @ SV183 )
          | ~ ( pidElem @ SV175 )
          | ~ ( pidElem @ SV198 )
          | ( ( host @ ( pidMsg @ SV198 ) )
           != ( host @ ( pidMsg @ SV175 ) ) ) )
        = $true )
      | ( ( leq @ ( pidMsg @ SV175 ) @ ( pidMsg @ SV198 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV175 @ SV183 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[953]) ).

thf(980,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( ~ ~ ( leq @ ( host @ SV143 ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[954]) ).

thf(981,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( ~ ( leq @ ( s @ zero ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[954]) ).

thf(982,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( ~ ( ( ( sK7_V0 @ SV143 @ SV114 @ SV58 )
               != ( host @ SV114 ) ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[955]) ).

thf(983,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( ~ ~ ( setIn @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) @ ( index @ down @ ( host @ SV143 ) ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[955]) ).

thf(984,plain,
    ! [SV119: $i,SV110: $i,SV44: $i] :
      ( ( ( ( ( index @ ldr @ ( host @ SV44 ) )
           != ( host @ SV44 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV44 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV44 ) )
           != norm ) )
        = $true )
      | ( ( ( host @ SV110 )
          = ( host @ SV44 ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV110 ) @ ( queue @ ( host @ SV119 ) ) )
        = $false )
      | ( ( setIn @ SV119 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV119 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[960]) ).

thf(985,plain,
    ! [SV120: $i,SV47: $i,SV91: $i] :
      ( ( ( elem @ ( m_Down @ SV91 ) @ ( queue @ ( host @ SV47 ) ) )
        = $false )
      | ( ( ~ ( setIn @ SV47 @ alive ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV120 ) )
          = norm )
        = $false )
      | ( ( ( host @ SV91 )
          = ( host @ SV120 ) )
        = $false )
      | ( ( setIn @ SV120 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV120 ) )
          = ( host @ SV120 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[963]) ).

thf(986,plain,
    ! [SV48: $i,SV92: $i,SV112: $i] :
      ( ( ( ( index @ status @ ( host @ SV112 ) )
          = elec_2 )
        = $false )
      | ( ( elem @ ( m_Down @ SV92 ) @ ( queue @ ( host @ SV48 ) ) )
        = $false )
      | ( ( setIn @ SV48 @ alive )
        = $false )
      | ( ( setIn @ SV112 @ alive )
        = $false )
      | ( ( ( host @ SV112 )
          = ( host @ SV92 ) )
        = $false )
      | ( ( leq @ ( index @ pendack @ ( host @ SV112 ) ) @ ( host @ SV48 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[964]) ).

thf(987,plain,
    ! [SV49: $i,SV93: $i,SV121: $i] :
      ( ( ( ( index @ status @ ( host @ SV121 ) )
          = elec_2 )
        = $false )
      | ( ( ( host @ SV121 )
          = ( host @ SV93 ) )
        = $false )
      | ( ( setIn @ SV49 @ alive )
        = $false )
      | ( ( setIn @ SV121 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV49 ) )
          = elec_2 )
        = $false )
      | ( ( ~ ( elem @ ( m_Ack @ SV49 @ SV93 ) @ ( queue @ ( host @ SV49 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[965]) ).

thf(988,plain,
    ! [SV113: $i,SV150: $i,SV50: $i] :
      ( ( ( setIn @ SV50 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV50 ) )
          = ( host @ SV50 ) )
        = $false )
      | ( ( ( ( index @ status @ ( host @ SV50 ) )
           != norm ) )
        = $true )
      | ( ( setIn @ SV150 @ alive )
        = $false )
      | ( ( elem @ ( m_Ack @ SV150 @ SV113 ) @ ( queue @ ( host @ SV150 ) ) )
        = $false )
      | ( ( ( host @ SV113 )
          = ( host @ SV50 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[966]) ).

thf(989,plain,
    ! [SV122: $i,SV52: $i,SV95: $i] :
      ( ( ( elem @ ( m_Down @ SV95 ) @ ( queue @ ( host @ SV52 ) ) )
        = $false )
      | ( ( ( host @ SV122 )
          = ( host @ SV95 ) )
        = $false )
      | ( ( setIn @ SV52 @ alive )
        = $false )
      | ( ( leq @ ( host @ SV122 ) @ ( host @ SV52 ) )
        = $true )
      | ( ( setIn @ SV122 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV122 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[967]) ).

thf(990,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( elem @ ( sK8_Y @ SV153 @ SV129 ) @ SV153 )
                    | ~ ( pidElem @ SV129 ) )
              | ~ ( pidElem @ ( sK8_Y @ SV153 @ SV129 ) ) ) )
        = $true )
      | ( ( ~ ( ordered @ SV153 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[968]) ).

thf(991,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( ( host @ ( pidMsg @ ( sK8_Y @ SV153 @ SV129 ) ) )
          = ( host @ ( pidMsg @ SV129 ) ) )
        = $true )
      | ( ( ~ ( ordered @ SV153 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[969]) ).

thf(992,plain,
    ! [SV173: $i,SV181: $i,SV197: $i] :
      ( ( ( ~ ( elem @ SV197 @ SV181 )
          | ~ ( pidElem @ SV173 )
          | ~ ( pidElem @ SV197 ) )
        = $true )
      | ( ( ( ( host @ ( pidMsg @ SV197 ) )
           != ( host @ ( pidMsg @ SV173 ) ) ) )
        = $true )
      | ( ( leq @ ( pidMsg @ SV197 ) @ ( pidMsg @ SV173 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV181 @ SV173 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[971]) ).

thf(993,plain,
    ( ( leq @ ( s @ ( host @ sK3_SY166 ) ) @ ( host @ sK5_SY295 ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[972]) ).

thf(994,plain,
    ( ( ( ( index @ ldr @ ( host @ sK5_SY295 ) )
       != ( host @ sK5_SY295 ) )
      | ~ ( setIn @ sK5_SY295 @ alive ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[974]) ).

thf(995,plain,
    ! [SV134: $i,SV158: $i] :
      ( ( ( ~ ( ~ ~ ( ~ ( elem @ ( sK9_Y @ SV158 @ SV134 ) @ SV158 )
                    | ~ ( pidElem @ SV134 ) )
              | ~ ( pidElem @ ( sK9_Y @ SV158 @ SV134 ) ) ) )
        = $true )
      | ( ( ~ ( ordered @ SV158 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[976]) ).

thf(996,plain,
    ! [SV134: $i,SV158: $i] :
      ( ( ( ( host @ ( pidMsg @ ( sK9_Y @ SV158 @ SV134 ) ) )
          = ( host @ ( pidMsg @ SV134 ) ) )
        = $true )
      | ( ( ~ ( ordered @ SV158 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[977]) ).

thf(997,plain,
    ! [SV175: $i,SV183: $i,SV198: $i] :
      ( ( ( ~ ( elem @ SV198 @ SV183 )
          | ~ ( pidElem @ SV175 )
          | ~ ( pidElem @ SV198 ) )
        = $true )
      | ( ( ( ( host @ ( pidMsg @ SV198 ) )
           != ( host @ ( pidMsg @ SV175 ) ) ) )
        = $true )
      | ( ( leq @ ( pidMsg @ SV175 ) @ ( pidMsg @ SV198 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV175 @ SV183 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[979]) ).

thf(998,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( ~ ( leq @ ( host @ SV143 ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) ) )
        = $true )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[980]) ).

thf(999,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( leq @ ( s @ zero ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) )
        = $true )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[981]) ).

thf(1000,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( ( ( sK7_V0 @ SV143 @ SV114 @ SV58 )
           != ( host @ SV114 ) ) )
        = $true )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[982]) ).

thf(1001,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( ~ ( setIn @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) @ ( index @ down @ ( host @ SV143 ) ) ) )
        = $true )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[983]) ).

thf(1002,plain,
    ! [SV119: $i,SV110: $i,SV44: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV44 ) )
          = ( host @ SV44 ) )
        = $false )
      | ( ( ~ ( setIn @ SV44 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV44 ) )
           != norm ) )
        = $true )
      | ( ( ( host @ SV110 )
          = ( host @ SV44 ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV110 ) @ ( queue @ ( host @ SV119 ) ) )
        = $false )
      | ( ( setIn @ SV119 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV119 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[984]) ).

thf(1003,plain,
    ! [SV120: $i,SV91: $i,SV47: $i] :
      ( ( ( setIn @ SV47 @ alive )
        = $false )
      | ( ( elem @ ( m_Down @ SV91 ) @ ( queue @ ( host @ SV47 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV120 ) )
          = norm )
        = $false )
      | ( ( ( host @ SV91 )
          = ( host @ SV120 ) )
        = $false )
      | ( ( setIn @ SV120 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV120 ) )
          = ( host @ SV120 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[985]) ).

thf(1004,plain,
    ! [SV121: $i,SV93: $i,SV49: $i] :
      ( ( ( elem @ ( m_Ack @ SV49 @ SV93 ) @ ( queue @ ( host @ SV49 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV49 ) )
          = elec_2 )
        = $false )
      | ( ( setIn @ SV121 @ alive )
        = $false )
      | ( ( setIn @ SV49 @ alive )
        = $false )
      | ( ( ( host @ SV121 )
          = ( host @ SV93 ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV121 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[987]) ).

thf(1005,plain,
    ! [SV113: $i,SV150: $i,SV50: $i] :
      ( ( ( ( index @ status @ ( host @ SV50 ) )
          = norm )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV50 ) )
          = ( host @ SV50 ) )
        = $false )
      | ( ( setIn @ SV50 @ alive )
        = $false )
      | ( ( setIn @ SV150 @ alive )
        = $false )
      | ( ( elem @ ( m_Ack @ SV150 @ SV113 ) @ ( queue @ ( host @ SV150 ) ) )
        = $false )
      | ( ( ( host @ SV113 )
          = ( host @ SV50 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[988]) ).

thf(1006,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( ~ ~ ( ~ ( elem @ ( sK8_Y @ SV153 @ SV129 ) @ SV153 )
                | ~ ( pidElem @ SV129 ) )
          | ~ ( pidElem @ ( sK8_Y @ SV153 @ SV129 ) ) )
        = $false )
      | ( ( ~ ( ordered @ SV153 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[990]) ).

thf(1007,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( ordered @ SV153 )
        = $false )
      | ( ( ( host @ ( pidMsg @ ( sK8_Y @ SV153 @ SV129 ) ) )
          = ( host @ ( pidMsg @ SV129 ) ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[991]) ).

thf(1008,plain,
    ! [SV173: $i,SV181: $i,SV197: $i] :
      ( ( ( ~ ( elem @ SV197 @ SV181 )
          | ~ ( pidElem @ SV173 ) )
        = $true )
      | ( ( ~ ( pidElem @ SV197 ) )
        = $true )
      | ( ( ( ( host @ ( pidMsg @ SV197 ) )
           != ( host @ ( pidMsg @ SV173 ) ) ) )
        = $true )
      | ( ( leq @ ( pidMsg @ SV197 ) @ ( pidMsg @ SV173 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV181 @ SV173 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[992]) ).

thf(1009,plain,
    ( ( ( ( index @ ldr @ ( host @ sK5_SY295 ) )
       != ( host @ sK5_SY295 ) ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[994]) ).

thf(1010,plain,
    ( ( ~ ( setIn @ sK5_SY295 @ alive ) )
    = $false ),
    inference(extcnf_or_neg,[status(thm)],[994]) ).

thf(1011,plain,
    ! [SV134: $i,SV158: $i] :
      ( ( ( ~ ~ ( ~ ( elem @ ( sK9_Y @ SV158 @ SV134 ) @ SV158 )
                | ~ ( pidElem @ SV134 ) )
          | ~ ( pidElem @ ( sK9_Y @ SV158 @ SV134 ) ) )
        = $false )
      | ( ( ~ ( ordered @ SV158 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[995]) ).

thf(1012,plain,
    ! [SV134: $i,SV158: $i] :
      ( ( ( ordered @ SV158 )
        = $false )
      | ( ( ( host @ ( pidMsg @ ( sK9_Y @ SV158 @ SV134 ) ) )
          = ( host @ ( pidMsg @ SV134 ) ) )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[996]) ).

thf(1013,plain,
    ! [SV175: $i,SV183: $i,SV198: $i] :
      ( ( ( ~ ( elem @ SV198 @ SV183 )
          | ~ ( pidElem @ SV175 ) )
        = $true )
      | ( ( ~ ( pidElem @ SV198 ) )
        = $true )
      | ( ( ( ( host @ ( pidMsg @ SV198 ) )
           != ( host @ ( pidMsg @ SV175 ) ) ) )
        = $true )
      | ( ( leq @ ( pidMsg @ SV175 ) @ ( pidMsg @ SV198 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV175 @ SV183 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[997]) ).

thf(1014,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( leq @ ( host @ SV143 ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[998]) ).

thf(1015,plain,
    ! [SV58: $i,SV143: $i,SV114: $i] :
      ( ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( leq @ ( s @ zero ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[999]) ).

thf(1016,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( ( sK7_V0 @ SV143 @ SV114 @ SV58 )
          = ( host @ SV114 ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1000]) ).

thf(1017,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( setIn @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) @ ( index @ down @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( ~ ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1001]) ).

thf(1018,plain,
    ! [SV119: $i,SV110: $i,SV44: $i] :
      ( ( ( setIn @ SV44 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV44 ) )
          = ( host @ SV44 ) )
        = $false )
      | ( ( ( ( index @ status @ ( host @ SV44 ) )
           != norm ) )
        = $true )
      | ( ( ( host @ SV110 )
          = ( host @ SV44 ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV110 ) @ ( queue @ ( host @ SV119 ) ) )
        = $false )
      | ( ( setIn @ SV119 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV119 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1002]) ).

thf(1019,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( ~ ~ ( ~ ( elem @ ( sK8_Y @ SV153 @ SV129 ) @ SV153 )
                | ~ ( pidElem @ SV129 ) ) )
        = $false )
      | ( ( ~ ( ordered @ SV153 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1006]) ).

thf(1020,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( ~ ( pidElem @ ( sK8_Y @ SV153 @ SV129 ) ) )
        = $false )
      | ( ( ~ ( ordered @ SV153 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1006]) ).

thf(1021,plain,
    ! [SV173: $i,SV181: $i,SV197: $i] :
      ( ( ( ~ ( elem @ SV197 @ SV181 ) )
        = $true )
      | ( ( ~ ( pidElem @ SV173 ) )
        = $true )
      | ( ( ~ ( pidElem @ SV197 ) )
        = $true )
      | ( ( ( ( host @ ( pidMsg @ SV197 ) )
           != ( host @ ( pidMsg @ SV173 ) ) ) )
        = $true )
      | ( ( leq @ ( pidMsg @ SV197 ) @ ( pidMsg @ SV173 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV181 @ SV173 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1008]) ).

thf(1022,plain,
    ( ( ( index @ ldr @ ( host @ sK5_SY295 ) )
      = ( host @ sK5_SY295 ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1009]) ).

thf(1023,plain,
    ( ( setIn @ sK5_SY295 @ alive )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[1010]) ).

thf(1024,plain,
    ! [SV134: $i,SV158: $i] :
      ( ( ( ~ ~ ( ~ ( elem @ ( sK9_Y @ SV158 @ SV134 ) @ SV158 )
                | ~ ( pidElem @ SV134 ) ) )
        = $false )
      | ( ( ~ ( ordered @ SV158 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1011]) ).

thf(1025,plain,
    ! [SV134: $i,SV158: $i] :
      ( ( ( ~ ( pidElem @ ( sK9_Y @ SV158 @ SV134 ) ) )
        = $false )
      | ( ( ~ ( ordered @ SV158 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1011]) ).

thf(1026,plain,
    ! [SV175: $i,SV183: $i,SV198: $i] :
      ( ( ( ~ ( elem @ SV198 @ SV183 ) )
        = $true )
      | ( ( ~ ( pidElem @ SV175 ) )
        = $true )
      | ( ( ~ ( pidElem @ SV198 ) )
        = $true )
      | ( ( ( ( host @ ( pidMsg @ SV198 ) )
           != ( host @ ( pidMsg @ SV175 ) ) ) )
        = $true )
      | ( ( leq @ ( pidMsg @ SV175 ) @ ( pidMsg @ SV198 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV175 @ SV183 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1013]) ).

thf(1027,plain,
    ! [SV58: $i,SV143: $i,SV114: $i] :
      ( ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( leq @ ( host @ SV143 ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) )
        = $false )
      | ( ( ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1014]) ).

thf(1028,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( ( index @ status @ ( host @ SV143 ) )
          = elec_1 )
        = $false )
      | ( ( leq @ ( s @ zero ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) )
        = $true )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1015]) ).

thf(1029,plain,
    ! [SV58: $i,SV143: $i,SV114: $i] :
      ( ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( ( sK7_V0 @ SV143 @ SV114 @ SV58 )
          = ( host @ SV114 ) )
        = $false )
      | ( ( ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1016]) ).

thf(1030,plain,
    ! [SV58: $i,SV143: $i,SV114: $i] :
      ( ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( setIn @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) @ ( index @ down @ ( host @ SV143 ) ) )
        = $false )
      | ( ( ( ( index @ status @ ( host @ SV143 ) )
           != elec_1 ) )
        = $true )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1017]) ).

thf(1031,plain,
    ! [SV119: $i,SV110: $i,SV44: $i] :
      ( ( ( ( index @ status @ ( host @ SV44 ) )
          = norm )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV44 ) )
          = ( host @ SV44 ) )
        = $false )
      | ( ( setIn @ SV44 @ alive )
        = $false )
      | ( ( ( host @ SV110 )
          = ( host @ SV44 ) )
        = $false )
      | ( ( elem @ ( m_Down @ SV110 ) @ ( queue @ ( host @ SV119 ) ) )
        = $false )
      | ( ( setIn @ SV119 @ alive )
        = $false )
      | ( ( ( index @ status @ ( host @ SV119 ) )
          = elec_2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1018]) ).

thf(1032,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( ~ ( ~ ( elem @ ( sK8_Y @ SV153 @ SV129 ) @ SV153 )
              | ~ ( pidElem @ SV129 ) ) )
        = $true )
      | ( ( ~ ( ordered @ SV153 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1019]) ).

thf(1033,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( pidElem @ ( sK8_Y @ SV153 @ SV129 ) )
        = $true )
      | ( ( ~ ( ordered @ SV153 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1020]) ).

thf(1034,plain,
    ! [SV173: $i,SV181: $i,SV197: $i] :
      ( ( ( elem @ SV197 @ SV181 )
        = $false )
      | ( ( ~ ( pidElem @ SV173 ) )
        = $true )
      | ( ( ~ ( pidElem @ SV197 ) )
        = $true )
      | ( ( ( ( host @ ( pidMsg @ SV197 ) )
           != ( host @ ( pidMsg @ SV173 ) ) ) )
        = $true )
      | ( ( leq @ ( pidMsg @ SV197 ) @ ( pidMsg @ SV173 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV181 @ SV173 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1021]) ).

thf(1035,plain,
    ! [SV134: $i,SV158: $i] :
      ( ( ( ~ ( ~ ( elem @ ( sK9_Y @ SV158 @ SV134 ) @ SV158 )
              | ~ ( pidElem @ SV134 ) ) )
        = $true )
      | ( ( ~ ( ordered @ SV158 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1024]) ).

thf(1036,plain,
    ! [SV134: $i,SV158: $i] :
      ( ( ( pidElem @ ( sK9_Y @ SV158 @ SV134 ) )
        = $true )
      | ( ( ~ ( ordered @ SV158 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1025]) ).

thf(1037,plain,
    ! [SV175: $i,SV183: $i,SV198: $i] :
      ( ( ( elem @ SV198 @ SV183 )
        = $false )
      | ( ( ~ ( pidElem @ SV175 ) )
        = $true )
      | ( ( ~ ( pidElem @ SV198 ) )
        = $true )
      | ( ( ( ( host @ ( pidMsg @ SV198 ) )
           != ( host @ ( pidMsg @ SV175 ) ) ) )
        = $true )
      | ( ( leq @ ( pidMsg @ SV175 ) @ ( pidMsg @ SV198 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV175 @ SV183 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1026]) ).

thf(1038,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( ( index @ status @ ( host @ SV143 ) )
          = elec_1 )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1027]) ).

thf(1039,plain,
    ! [SV143: $i,SV114: $i,SV58: $i] :
      ( ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( leq @ ( s @ zero ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV143 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1028]) ).

thf(1040,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( ( index @ status @ ( host @ SV143 ) )
          = elec_1 )
        = $false )
      | ( ( ( sK7_V0 @ SV143 @ SV114 @ SV58 )
          = ( host @ SV114 ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1029]) ).

thf(1041,plain,
    ! [SV58: $i,SV114: $i,SV143: $i] :
      ( ( ( ( index @ status @ ( host @ SV143 ) )
          = elec_1 )
        = $false )
      | ( ( setIn @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) @ ( index @ down @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive )
          | ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1030]) ).

thf(1042,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( ~ ( elem @ ( sK8_Y @ SV153 @ SV129 ) @ SV153 )
          | ~ ( pidElem @ SV129 ) )
        = $false )
      | ( ( ~ ( ordered @ SV153 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1032]) ).

thf(1043,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( ordered @ SV153 )
        = $false )
      | ( ( pidElem @ ( sK8_Y @ SV153 @ SV129 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1033]) ).

thf(1044,plain,
    ! [SV181: $i,SV197: $i,SV173: $i] :
      ( ( ( pidElem @ SV173 )
        = $false )
      | ( ( elem @ SV197 @ SV181 )
        = $false )
      | ( ( ~ ( pidElem @ SV197 ) )
        = $true )
      | ( ( ( ( host @ ( pidMsg @ SV197 ) )
           != ( host @ ( pidMsg @ SV173 ) ) ) )
        = $true )
      | ( ( leq @ ( pidMsg @ SV197 ) @ ( pidMsg @ SV173 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV181 @ SV173 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1034]) ).

thf(1045,plain,
    ! [SV134: $i,SV158: $i] :
      ( ( ( ~ ( elem @ ( sK9_Y @ SV158 @ SV134 ) @ SV158 )
          | ~ ( pidElem @ SV134 ) )
        = $false )
      | ( ( ~ ( ordered @ SV158 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1035]) ).

thf(1046,plain,
    ! [SV134: $i,SV158: $i] :
      ( ( ( ordered @ SV158 )
        = $false )
      | ( ( pidElem @ ( sK9_Y @ SV158 @ SV134 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1036]) ).

thf(1047,plain,
    ! [SV183: $i,SV198: $i,SV175: $i] :
      ( ( ( pidElem @ SV175 )
        = $false )
      | ( ( elem @ SV198 @ SV183 )
        = $false )
      | ( ( ~ ( pidElem @ SV198 ) )
        = $true )
      | ( ( ( ( host @ ( pidMsg @ SV198 ) )
           != ( host @ ( pidMsg @ SV175 ) ) ) )
        = $true )
      | ( ( leq @ ( pidMsg @ SV175 ) @ ( pidMsg @ SV198 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV175 @ SV183 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1037]) ).

thf(1048,plain,
    ! [SV143: $i,SV114: $i,SV58: $i] :
      ( ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( leq @ ( host @ SV143 ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV143 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1038]) ).

thf(1049,plain,
    ! [SV143: $i,SV114: $i,SV58: $i] :
      ( ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV58 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( leq @ ( s @ zero ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV143 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1039]) ).

thf(1050,plain,
    ! [SV143: $i,SV114: $i,SV58: $i] :
      ( ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( ( sK7_V0 @ SV143 @ SV114 @ SV58 )
          = ( host @ SV114 ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV143 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1040]) ).

thf(1051,plain,
    ! [SV143: $i,SV114: $i,SV58: $i] :
      ( ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) )
          | ~ ( setIn @ SV58 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( setIn @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) @ ( index @ down @ ( host @ SV143 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV143 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1041]) ).

thf(1052,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( ~ ( elem @ ( sK8_Y @ SV153 @ SV129 ) @ SV153 ) )
        = $false )
      | ( ( ~ ( ordered @ SV153 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1042]) ).

thf(1053,plain,
    ! [SV153: $i,SV129: $i] :
      ( ( ( ~ ( pidElem @ SV129 ) )
        = $false )
      | ( ( ~ ( ordered @ SV153 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1042]) ).

thf(1054,plain,
    ! [SV173: $i,SV181: $i,SV197: $i] :
      ( ( ( pidElem @ SV197 )
        = $false )
      | ( ( elem @ SV197 @ SV181 )
        = $false )
      | ( ( pidElem @ SV173 )
        = $false )
      | ( ( ( ( host @ ( pidMsg @ SV197 ) )
           != ( host @ ( pidMsg @ SV173 ) ) ) )
        = $true )
      | ( ( leq @ ( pidMsg @ SV197 ) @ ( pidMsg @ SV173 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV181 @ SV173 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1044]) ).

thf(1055,plain,
    ! [SV134: $i,SV158: $i] :
      ( ( ( ~ ( elem @ ( sK9_Y @ SV158 @ SV134 ) @ SV158 ) )
        = $false )
      | ( ( ~ ( ordered @ SV158 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1045]) ).

thf(1056,plain,
    ! [SV158: $i,SV134: $i] :
      ( ( ( ~ ( pidElem @ SV134 ) )
        = $false )
      | ( ( ~ ( ordered @ SV158 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[1045]) ).

thf(1057,plain,
    ! [SV175: $i,SV183: $i,SV198: $i] :
      ( ( ( pidElem @ SV198 )
        = $false )
      | ( ( elem @ SV198 @ SV183 )
        = $false )
      | ( ( pidElem @ SV175 )
        = $false )
      | ( ( ( ( host @ ( pidMsg @ SV198 ) )
           != ( host @ ( pidMsg @ SV175 ) ) ) )
        = $true )
      | ( ( leq @ ( pidMsg @ SV175 ) @ ( pidMsg @ SV198 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV175 @ SV183 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1047]) ).

thf(1058,plain,
    ! [SV143: $i,SV114: $i,SV58: $i] :
      ( ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV58 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( leq @ ( host @ SV143 ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV143 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1048]) ).

thf(1059,plain,
    ! [SV143: $i,SV114: $i,SV58: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV58 ) )
          = ( host @ SV58 ) )
        = $false )
      | ( ( ~ ( setIn @ SV58 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( leq @ ( s @ zero ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV143 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1049]) ).

thf(1060,plain,
    ! [SV143: $i,SV114: $i,SV58: $i] :
      ( ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV58 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( ( sK7_V0 @ SV143 @ SV114 @ SV58 )
          = ( host @ SV114 ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV143 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1050]) ).

thf(1061,plain,
    ! [SV143: $i,SV114: $i,SV58: $i] :
      ( ( ( ( ( index @ ldr @ ( host @ SV58 ) )
           != ( host @ SV58 ) ) )
        = $true )
      | ( ( ~ ( setIn @ SV58 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( setIn @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) @ ( index @ down @ ( host @ SV143 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV143 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1051]) ).

thf(1062,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( elem @ ( sK8_Y @ SV153 @ SV129 ) @ SV153 )
        = $true )
      | ( ( ~ ( ordered @ SV153 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1052]) ).

thf(1063,plain,
    ! [SV153: $i,SV129: $i] :
      ( ( ( pidElem @ SV129 )
        = $true )
      | ( ( ~ ( ordered @ SV153 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1053]) ).

thf(1064,plain,
    ! [SV181: $i,SV173: $i,SV197: $i] :
      ( ( ( ( host @ ( pidMsg @ SV197 ) )
          = ( host @ ( pidMsg @ SV173 ) ) )
        = $false )
      | ( ( pidElem @ SV173 )
        = $false )
      | ( ( elem @ SV197 @ SV181 )
        = $false )
      | ( ( pidElem @ SV197 )
        = $false )
      | ( ( leq @ ( pidMsg @ SV197 ) @ ( pidMsg @ SV173 ) )
        = $true )
      | ( ( ordered @ ( snoc @ SV181 @ SV173 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1054]) ).

thf(1065,plain,
    ! [SV134: $i,SV158: $i] :
      ( ( ( elem @ ( sK9_Y @ SV158 @ SV134 ) @ SV158 )
        = $true )
      | ( ( ~ ( ordered @ SV158 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1055]) ).

thf(1066,plain,
    ! [SV158: $i,SV134: $i] :
      ( ( ( pidElem @ SV134 )
        = $true )
      | ( ( ~ ( ordered @ SV158 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1056]) ).

thf(1067,plain,
    ! [SV183: $i,SV175: $i,SV198: $i] :
      ( ( ( ( host @ ( pidMsg @ SV198 ) )
          = ( host @ ( pidMsg @ SV175 ) ) )
        = $false )
      | ( ( pidElem @ SV175 )
        = $false )
      | ( ( elem @ SV198 @ SV183 )
        = $false )
      | ( ( pidElem @ SV198 )
        = $false )
      | ( ( leq @ ( pidMsg @ SV175 ) @ ( pidMsg @ SV198 ) )
        = $true )
      | ( ( ordered @ ( cons @ SV175 @ SV183 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1057]) ).

thf(1068,plain,
    ! [SV143: $i,SV114: $i,SV58: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV58 ) )
          = ( host @ SV58 ) )
        = $false )
      | ( ( ~ ( setIn @ SV58 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( leq @ ( host @ SV143 ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV143 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1058]) ).

thf(1069,plain,
    ! [SV143: $i,SV114: $i,SV58: $i] :
      ( ( ( setIn @ SV58 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV58 ) )
          = ( host @ SV58 ) )
        = $false )
      | ( ( ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( leq @ ( s @ zero ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV143 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1059]) ).

thf(1070,plain,
    ! [SV143: $i,SV114: $i,SV58: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV58 ) )
          = ( host @ SV58 ) )
        = $false )
      | ( ( ~ ( setIn @ SV58 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( ( sK7_V0 @ SV143 @ SV114 @ SV58 )
          = ( host @ SV114 ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV143 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1060]) ).

thf(1071,plain,
    ! [SV143: $i,SV114: $i,SV58: $i] :
      ( ( ( ( index @ ldr @ ( host @ SV58 ) )
          = ( host @ SV58 ) )
        = $false )
      | ( ( ~ ( setIn @ SV58 @ alive ) )
        = $true )
      | ( ( ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( setIn @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) @ ( index @ down @ ( host @ SV143 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV143 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1061]) ).

thf(1072,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( ordered @ SV153 )
        = $false )
      | ( ( elem @ ( sK8_Y @ SV153 @ SV129 ) @ SV153 )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1062]) ).

thf(1073,plain,
    ! [SV129: $i,SV153: $i] :
      ( ( ( ordered @ SV153 )
        = $false )
      | ( ( pidElem @ SV129 )
        = $true )
      | ( ( ordered @ ( snoc @ SV153 @ SV129 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1063]) ).

thf(1074,plain,
    ! [SV134: $i,SV158: $i] :
      ( ( ( ordered @ SV158 )
        = $false )
      | ( ( elem @ ( sK9_Y @ SV158 @ SV134 ) @ SV158 )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1065]) ).

thf(1075,plain,
    ! [SV134: $i,SV158: $i] :
      ( ( ( ordered @ SV158 )
        = $false )
      | ( ( pidElem @ SV134 )
        = $true )
      | ( ( ordered @ ( cons @ SV134 @ SV158 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1066]) ).

thf(1076,plain,
    ! [SV143: $i,SV114: $i,SV58: $i] :
      ( ( ( setIn @ SV58 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV58 ) )
          = ( host @ SV58 ) )
        = $false )
      | ( ( ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( leq @ ( host @ SV143 ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV143 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1068]) ).

thf(1077,plain,
    ! [SV143: $i,SV114: $i,SV58: $i] :
      ( ( ( ( index @ status @ ( host @ SV58 ) )
          = norm )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV58 ) )
          = ( host @ SV58 ) )
        = $false )
      | ( ( setIn @ SV58 @ alive )
        = $false )
      | ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( leq @ ( s @ zero ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) )
        = $true )
      | ( ( ( index @ status @ ( host @ SV143 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1069]) ).

thf(1078,plain,
    ! [SV143: $i,SV114: $i,SV58: $i] :
      ( ( ( setIn @ SV58 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV58 ) )
          = ( host @ SV58 ) )
        = $false )
      | ( ( ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( ( sK7_V0 @ SV143 @ SV114 @ SV58 )
          = ( host @ SV114 ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV143 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1070]) ).

thf(1079,plain,
    ! [SV143: $i,SV114: $i,SV58: $i] :
      ( ( ( setIn @ SV58 @ alive )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV58 ) )
          = ( host @ SV58 ) )
        = $false )
      | ( ( ( ( index @ status @ ( host @ SV58 ) )
           != norm ) )
        = $true )
      | ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( setIn @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) @ ( index @ down @ ( host @ SV143 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV143 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1071]) ).

thf(1080,plain,
    ! [SV143: $i,SV114: $i,SV58: $i] :
      ( ( ( ( index @ status @ ( host @ SV58 ) )
          = norm )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV58 ) )
          = ( host @ SV58 ) )
        = $false )
      | ( ( setIn @ SV58 @ alive )
        = $false )
      | ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( leq @ ( host @ SV143 ) @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV143 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1076]) ).

thf(1081,plain,
    ! [SV143: $i,SV114: $i,SV58: $i] :
      ( ( ( ( index @ status @ ( host @ SV58 ) )
          = norm )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV58 ) )
          = ( host @ SV58 ) )
        = $false )
      | ( ( setIn @ SV58 @ alive )
        = $false )
      | ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( ( sK7_V0 @ SV143 @ SV114 @ SV58 )
          = ( host @ SV114 ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV143 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1078]) ).

thf(1082,plain,
    ! [SV143: $i,SV114: $i,SV58: $i] :
      ( ( ( ( index @ status @ ( host @ SV58 ) )
          = norm )
        = $false )
      | ( ( ( index @ ldr @ ( host @ SV58 ) )
          = ( host @ SV58 ) )
        = $false )
      | ( ( setIn @ SV58 @ alive )
        = $false )
      | ( ( elem @ ( m_Down @ SV114 ) @ ( queue @ ( host @ SV143 ) ) )
        = $false )
      | ( ( leq @ ( host @ SV143 ) @ ( host @ SV58 ) )
        = $true )
      | ( ( setIn @ ( sK7_V0 @ SV143 @ SV114 @ SV58 ) @ ( index @ down @ ( host @ SV143 ) ) )
        = $false )
      | ( ( ( index @ status @ ( host @ SV143 ) )
          = elec_1 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1079]) ).

thf(1083,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[233,1082,1081,1080,1077,1075,1074,1073,1072,1067,1064,1046,1043,1031,1023,1022,1012,1007,1005,1004,1003,993,989,986,978,975,973,970,962,961,959,958,957,956,943,941,931,930,927,926,923,917,913,912,911,898,893,890,864,860,859,856,838,810,809,808,807,806,805,804,803,799,798,797,796,791,788,787,785,773,740,736,735,715,714,674,660,657,654,627,618,617,599,597,594,593,592,591,590,535,531,530,529,525,524,523,522,521,520,519,518,517,516,459,456,452,448,447,446,445,444,443,390,388,384,379,378,375,366,347,346,345,344,343,342,341,340,302,301,297,281]) ).

thf(1084,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[1083]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV469+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun 14 22:03:09 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.39  .
% 0.55/0.73  
% 0.55/0.73   No.of.Axioms: 66
% 0.55/0.73  
% 0.55/0.73   Length.of.Defs: 0
% 0.55/0.73  
% 0.55/0.73   Contains.Choice.Funs: false
% 0.55/0.75  ..
% 0.79/1.00  (rf:0,axioms:66,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:68,loop_count:0,foatp_calls:0,translation:fof_full)..................................................................
% 18.64/18.84  
% 18.64/18.84  ********************************
% 18.64/18.84  *   All subproblems solved!    *
% 18.64/18.84  ********************************
% 18.64/18.84  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:89,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:73,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1083,loop_count:0,foatp_calls:1,translation:fof_full)
% 19.03/19.21  
% 19.03/19.21  %**** Beginning of derivation protocol ****
% 19.03/19.21  % SZS output start CNFRefutation
% See solution above
% 19.03/19.22  
% 19.03/19.22  %**** End of derivation protocol ****
% 19.03/19.22  %**** no. of clauses in derivation: 1084 ****
% 19.03/19.22  %**** clause counter: 1083 ****
% 19.03/19.22  
% 19.03/19.22  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:89,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:73,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1083,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------