TSTP Solution File: SWV463+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV463+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n011.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  : 300s
% DateTime : Sun May  5 10:34:42 EDT 2024

% Result   : Theorem 0.60s 0.78s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   69 (  29 unt;   1 typ;   0 def)
%            Number of atoms       : 4260 ( 452 equ)
%            Maximal formula atoms :  188 (  62 avg)
%            Number of connectives : 1587 ( 578   ~; 422   |; 502   &)
%                                         (   5 <=>;  80  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   39 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       : 3183 (3183 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   40 (  38 usr;  24 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :  497 ( 430   !;  66   ?;  40   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_6,type,
    sQ12_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f736,plain,
    $false,
    inference(avatar_sat_refutation,[],[f379,f731,f735]) ).

tff(f735,plain,
    ~ spl13_4,
    inference(avatar_contradiction_clause,[],[f734]) ).

tff(f734,plain,
    ( $false
    | ~ spl13_4 ),
    inference(subsumption_resolution,[],[f733,f290]) ).

tff(f290,plain,
    sQ12_eqProxy($i,host(sK5),index(ldr,host(sK5))),
    inference(equality_proxy_replacement,[],[f197,f288]) ).

tff(f288,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ12_eqProxy(X0,X1,X2)
    <=> ( X1 = X2 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ12_eqProxy])]) ).

tff(f197,plain,
    host(sK5) = index(ldr,host(sK5)),
    inference(cnf_transformation,[],[f137]) ).

tff(f137,plain,
    ( ( norm = index(status,host(sK5)) )
    & ( host(sK5) = index(ldr,host(sK5)) )
    & setIn(sK5,alive)
    & ( host(sK7) = s(index(pendack,host(sK8))) )
    & ( index(pendack,host(sK8)) = host(sK6) )
    & ( elec_2 = index(status,host(sK8)) )
    & elem(m_Ack(sK8,sK6),snoc(queue(host(sK8)),m_Ldr(sK2)))
    & elem(m_Down(sK7),snoc(queue(host(sK8)),m_Ldr(sK2)))
    & leq(nbr_proc,s(index(pendack,host(sK8))))
    & setIn(sK8,alive)
    & ( host(sK2) != host(sK8) )
    & ( host(sK4) = host(sK8) )
    & ( host(sK2) != host(sK5) )
    & ( ( host(sK3) = host(sK4) )
      | setIn(host(sK4),index(acks,host(sK2))) )
    & leq(nbr_proc,index(pendack,host(sK2)))
    & ( host(sK3) = index(pendack,host(sK2)) )
    & ( elec_2 = index(status,host(sK2)) )
    & ( sK1 = index(elid,host(sK2)) )
    & setIn(sK2,alive)
    & ( queue(host(sK2)) = cons(m_Ack(sK1,sK3),sK0) )
    & ! [X9,X10,X11,X12] :
        ( ( norm != index(status,host(X9)) )
        | ( host(X9) != index(ldr,host(X9)) )
        | ~ setIn(X9,alive)
        | ( host(X11) != s(index(pendack,host(X12))) )
        | ( host(X10) != index(pendack,host(X12)) )
        | ( elec_2 != index(status,host(X12)) )
        | ~ leq(nbr_proc,s(index(pendack,host(X12))))
        | ~ elem(m_Ack(X12,X10),queue(host(X12)))
        | ~ elem(m_Down(X11),queue(host(X12)))
        | ~ setIn(X12,alive) )
    & ! [X13,X14,X15,X16] :
        ( ~ elem(m_Down(X14),queue(host(X13)))
        | ~ setIn(X13,alive)
        | ( elec_1 != index(status,host(X16)) )
        | ( host(X14) != host(X16) )
        | ( nbr_proc != host(X16) )
        | ~ elem(m_Down(X15),queue(host(X16)))
        | ( ( host(X15) != sK9(X15,X16) )
          & ~ setIn(sK9(X15,X16),index(down,host(X16)))
          & leq(s(zero),sK9(X15,X16))
          & ~ leq(host(X16),sK9(X15,X16)) ) )
    & ! [X18,X19,X20] :
        ( ( norm != index(status,host(X18)) )
        | ( host(X18) != index(ldr,host(X18)) )
        | ~ setIn(X18,alive)
        | ( elec_2 != index(status,host(X20)) )
        | ~ elem(m_Halt(X20),queue(host(X19)))
        | ~ setIn(X20,alive)
        | leq(index(pendack,host(X20)),host(X18)) )
    & ! [X21,X22] :
        ( ~ leq(index(pendack,host(X21)),index(pendack,host(X22)))
        | ( elec_2 != index(status,host(X22)) )
        | ( elec_2 != index(status,host(X21)) )
        | ~ setIn(X22,alive)
        | ~ setIn(X21,alive)
        | leq(host(X21),host(X22)) )
    & ! [X23,X24,X25] :
        ( ~ elem(m_Ack(X23,X24),queue(host(X23)))
        | ( elec_2 != index(status,host(X25)) )
        | ( elec_2 != index(status,host(X23)) )
        | ( host(X24) != host(X25) )
        | ~ setIn(X25,alive)
        | ~ setIn(X23,alive) )
    & ! [X26,X27] :
        ( leq(index(pendack,host(X27)),host(X26))
        | ( elec_2 != index(status,host(X27)) )
        | ( elec_2 != index(status,host(X26)) )
        | ~ setIn(X27,alive)
        | ~ setIn(X26,alive)
        | leq(host(X26),host(X27)) )
    & ! [X28,X29,X30] :
        ( ( norm != index(status,host(X28)) )
        | ( host(X28) != index(ldr,host(X28)) )
        | ~ setIn(X28,alive)
        | ( host(X28) != host(X29) )
        | ~ elem(m_Down(X29),queue(host(X30)))
        | ~ setIn(X30,alive) )
    & ! [X31] :
        ( ( index(elid,host(X31)) = X31 )
        | ~ setIn(X31,alive)
        | ( ( elec_2 != index(status,host(X31)) )
          & ( elec_1 != index(status,host(X31)) ) ) )
    & ! [X32,X33] :
        ( ~ elem(m_Ack(X33,X32),queue(host(X33)))
        | ( elec_1 != index(status,host(X33)) )
        | ~ setIn(X33,alive) )
    & ! [X34,X35] :
        ( leq(host(X34),index(pendack,host(X35)))
        | ~ elem(m_Ack(X35,X34),queue(host(X35)))
        | ~ setIn(X35,alive) )
    & ! [X36,X37] :
        ( ~ setIn(X37,alive)
        | ~ setIn(X36,alive)
        | ( host(X36) != host(X37) )
        | ( X36 = X37 ) )
    & ! [X38,X39,X40] :
        ( ~ leq(host(X38),host(X40))
        | ~ elem(m_Ack(X40,X38),queue(host(X39))) )
    & ! [X41,X42] :
        ( ~ leq(host(X41),host(X42))
        | ~ elem(m_Halt(X42),queue(host(X41))) )
    & ! [X43,X44] :
        ( ( host(X43) != host(X44) )
        | ~ elem(m_Down(X44),queue(host(X43))) )
    & ! [X45,X46] :
        ( ~ leq(host(X45),host(X46))
        | ~ elem(m_Ldr(X46),queue(host(X45))) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f131,f136,f135,f134,f133,f132]) ).

tff(f132,plain,
    ( ? [X0,X1,X2,X3] :
        ( ? [X4] :
            ( ? [X5] :
                ( ? [X6,X7,X8] :
                    ( ( norm = index(status,host(X5)) )
                    & ( host(X5) = index(ldr,host(X5)) )
                    & setIn(X5,alive)
                    & ( host(X7) = s(index(pendack,host(X8))) )
                    & ( host(X6) = index(pendack,host(X8)) )
                    & ( elec_2 = index(status,host(X8)) )
                    & elem(m_Ack(X8,X6),snoc(queue(host(X8)),m_Ldr(X2)))
                    & elem(m_Down(X7),snoc(queue(host(X8)),m_Ldr(X2)))
                    & leq(nbr_proc,s(index(pendack,host(X8))))
                    & setIn(X8,alive)
                    & ( host(X2) != host(X8) )
                    & ( host(X4) = host(X8) ) )
                & ( host(X2) != host(X5) ) )
            & ( ( host(X3) = host(X4) )
              | setIn(host(X4),index(acks,host(X2))) ) )
        & leq(nbr_proc,index(pendack,host(X2)))
        & ( host(X3) = index(pendack,host(X2)) )
        & ( elec_2 = index(status,host(X2)) )
        & ( index(elid,host(X2)) = X1 )
        & setIn(X2,alive)
        & ( queue(host(X2)) = cons(m_Ack(X1,X3),X0) )
        & ! [X9,X10,X11,X12] :
            ( ( norm != index(status,host(X9)) )
            | ( host(X9) != index(ldr,host(X9)) )
            | ~ setIn(X9,alive)
            | ( host(X11) != s(index(pendack,host(X12))) )
            | ( host(X10) != index(pendack,host(X12)) )
            | ( elec_2 != index(status,host(X12)) )
            | ~ leq(nbr_proc,s(index(pendack,host(X12))))
            | ~ elem(m_Ack(X12,X10),queue(host(X12)))
            | ~ elem(m_Down(X11),queue(host(X12)))
            | ~ setIn(X12,alive) )
        & ! [X13,X14,X15,X16] :
            ( ~ elem(m_Down(X14),queue(host(X13)))
            | ~ setIn(X13,alive)
            | ( elec_1 != index(status,host(X16)) )
            | ( host(X14) != host(X16) )
            | ( nbr_proc != host(X16) )
            | ~ elem(m_Down(X15),queue(host(X16)))
            | ? [X17] :
                ( ( host(X15) != X17 )
                & ~ setIn(X17,index(down,host(X16)))
                & leq(s(zero),X17)
                & ~ leq(host(X16),X17) ) )
        & ! [X18,X19,X20] :
            ( ( norm != index(status,host(X18)) )
            | ( host(X18) != index(ldr,host(X18)) )
            | ~ setIn(X18,alive)
            | ( elec_2 != index(status,host(X20)) )
            | ~ elem(m_Halt(X20),queue(host(X19)))
            | ~ setIn(X20,alive)
            | leq(index(pendack,host(X20)),host(X18)) )
        & ! [X21,X22] :
            ( ~ leq(index(pendack,host(X21)),index(pendack,host(X22)))
            | ( elec_2 != index(status,host(X22)) )
            | ( elec_2 != index(status,host(X21)) )
            | ~ setIn(X22,alive)
            | ~ setIn(X21,alive)
            | leq(host(X21),host(X22)) )
        & ! [X23,X24,X25] :
            ( ~ elem(m_Ack(X23,X24),queue(host(X23)))
            | ( elec_2 != index(status,host(X25)) )
            | ( elec_2 != index(status,host(X23)) )
            | ( host(X24) != host(X25) )
            | ~ setIn(X25,alive)
            | ~ setIn(X23,alive) )
        & ! [X26,X27] :
            ( leq(index(pendack,host(X27)),host(X26))
            | ( elec_2 != index(status,host(X27)) )
            | ( elec_2 != index(status,host(X26)) )
            | ~ setIn(X27,alive)
            | ~ setIn(X26,alive)
            | leq(host(X26),host(X27)) )
        & ! [X28,X29,X30] :
            ( ( norm != index(status,host(X28)) )
            | ( host(X28) != index(ldr,host(X28)) )
            | ~ setIn(X28,alive)
            | ( host(X28) != host(X29) )
            | ~ elem(m_Down(X29),queue(host(X30)))
            | ~ setIn(X30,alive) )
        & ! [X31] :
            ( ( index(elid,host(X31)) = X31 )
            | ~ setIn(X31,alive)
            | ( ( elec_2 != index(status,host(X31)) )
              & ( elec_1 != index(status,host(X31)) ) ) )
        & ! [X32,X33] :
            ( ~ elem(m_Ack(X33,X32),queue(host(X33)))
            | ( elec_1 != index(status,host(X33)) )
            | ~ setIn(X33,alive) )
        & ! [X34,X35] :
            ( leq(host(X34),index(pendack,host(X35)))
            | ~ elem(m_Ack(X35,X34),queue(host(X35)))
            | ~ setIn(X35,alive) )
        & ! [X36,X37] :
            ( ~ setIn(X37,alive)
            | ~ setIn(X36,alive)
            | ( host(X36) != host(X37) )
            | ( X36 = X37 ) )
        & ! [X38,X39,X40] :
            ( ~ leq(host(X38),host(X40))
            | ~ elem(m_Ack(X40,X38),queue(host(X39))) )
        & ! [X41,X42] :
            ( ~ leq(host(X41),host(X42))
            | ~ elem(m_Halt(X42),queue(host(X41))) )
        & ! [X43,X44] :
            ( ( host(X43) != host(X44) )
            | ~ elem(m_Down(X44),queue(host(X43))) )
        & ! [X45,X46] :
            ( ~ leq(host(X45),host(X46))
            | ~ elem(m_Ldr(X46),queue(host(X45))) ) )
   => ( ? [X4] :
          ( ? [X5] :
              ( ? [X8,X7,X6] :
                  ( ( norm = index(status,host(X5)) )
                  & ( host(X5) = index(ldr,host(X5)) )
                  & setIn(X5,alive)
                  & ( host(X7) = s(index(pendack,host(X8))) )
                  & ( host(X6) = index(pendack,host(X8)) )
                  & ( elec_2 = index(status,host(X8)) )
                  & elem(m_Ack(X8,X6),snoc(queue(host(X8)),m_Ldr(sK2)))
                  & elem(m_Down(X7),snoc(queue(host(X8)),m_Ldr(sK2)))
                  & leq(nbr_proc,s(index(pendack,host(X8))))
                  & setIn(X8,alive)
                  & ( host(X8) != host(sK2) )
                  & ( host(X4) = host(X8) ) )
              & ( host(X5) != host(sK2) ) )
          & ( ( host(X4) = host(sK3) )
            | setIn(host(X4),index(acks,host(sK2))) ) )
      & leq(nbr_proc,index(pendack,host(sK2)))
      & ( host(sK3) = index(pendack,host(sK2)) )
      & ( elec_2 = index(status,host(sK2)) )
      & ( sK1 = index(elid,host(sK2)) )
      & setIn(sK2,alive)
      & ( queue(host(sK2)) = cons(m_Ack(sK1,sK3),sK0) )
      & ! [X9,X10,X11,X12] :
          ( ( norm != index(status,host(X9)) )
          | ( host(X9) != index(ldr,host(X9)) )
          | ~ setIn(X9,alive)
          | ( host(X11) != s(index(pendack,host(X12))) )
          | ( host(X10) != index(pendack,host(X12)) )
          | ( elec_2 != index(status,host(X12)) )
          | ~ leq(nbr_proc,s(index(pendack,host(X12))))
          | ~ elem(m_Ack(X12,X10),queue(host(X12)))
          | ~ elem(m_Down(X11),queue(host(X12)))
          | ~ setIn(X12,alive) )
      & ! [X13,X14,X15,X16] :
          ( ~ elem(m_Down(X14),queue(host(X13)))
          | ~ setIn(X13,alive)
          | ( elec_1 != index(status,host(X16)) )
          | ( host(X14) != host(X16) )
          | ( nbr_proc != host(X16) )
          | ~ elem(m_Down(X15),queue(host(X16)))
          | ? [X17] :
              ( ( host(X15) != X17 )
              & ~ setIn(X17,index(down,host(X16)))
              & leq(s(zero),X17)
              & ~ leq(host(X16),X17) ) )
      & ! [X18,X19,X20] :
          ( ( norm != index(status,host(X18)) )
          | ( host(X18) != index(ldr,host(X18)) )
          | ~ setIn(X18,alive)
          | ( elec_2 != index(status,host(X20)) )
          | ~ elem(m_Halt(X20),queue(host(X19)))
          | ~ setIn(X20,alive)
          | leq(index(pendack,host(X20)),host(X18)) )
      & ! [X21,X22] :
          ( ~ leq(index(pendack,host(X21)),index(pendack,host(X22)))
          | ( elec_2 != index(status,host(X22)) )
          | ( elec_2 != index(status,host(X21)) )
          | ~ setIn(X22,alive)
          | ~ setIn(X21,alive)
          | leq(host(X21),host(X22)) )
      & ! [X23,X24,X25] :
          ( ~ elem(m_Ack(X23,X24),queue(host(X23)))
          | ( elec_2 != index(status,host(X25)) )
          | ( elec_2 != index(status,host(X23)) )
          | ( host(X24) != host(X25) )
          | ~ setIn(X25,alive)
          | ~ setIn(X23,alive) )
      & ! [X26,X27] :
          ( leq(index(pendack,host(X27)),host(X26))
          | ( elec_2 != index(status,host(X27)) )
          | ( elec_2 != index(status,host(X26)) )
          | ~ setIn(X27,alive)
          | ~ setIn(X26,alive)
          | leq(host(X26),host(X27)) )
      & ! [X28,X29,X30] :
          ( ( norm != index(status,host(X28)) )
          | ( host(X28) != index(ldr,host(X28)) )
          | ~ setIn(X28,alive)
          | ( host(X28) != host(X29) )
          | ~ elem(m_Down(X29),queue(host(X30)))
          | ~ setIn(X30,alive) )
      & ! [X31] :
          ( ( index(elid,host(X31)) = X31 )
          | ~ setIn(X31,alive)
          | ( ( elec_2 != index(status,host(X31)) )
            & ( elec_1 != index(status,host(X31)) ) ) )
      & ! [X32,X33] :
          ( ~ elem(m_Ack(X33,X32),queue(host(X33)))
          | ( elec_1 != index(status,host(X33)) )
          | ~ setIn(X33,alive) )
      & ! [X34,X35] :
          ( leq(host(X34),index(pendack,host(X35)))
          | ~ elem(m_Ack(X35,X34),queue(host(X35)))
          | ~ setIn(X35,alive) )
      & ! [X36,X37] :
          ( ~ setIn(X37,alive)
          | ~ setIn(X36,alive)
          | ( host(X36) != host(X37) )
          | ( X36 = X37 ) )
      & ! [X38,X39,X40] :
          ( ~ leq(host(X38),host(X40))
          | ~ elem(m_Ack(X40,X38),queue(host(X39))) )
      & ! [X41,X42] :
          ( ~ leq(host(X41),host(X42))
          | ~ elem(m_Halt(X42),queue(host(X41))) )
      & ! [X43,X44] :
          ( ( host(X43) != host(X44) )
          | ~ elem(m_Down(X44),queue(host(X43))) )
      & ! [X45,X46] :
          ( ~ leq(host(X45),host(X46))
          | ~ elem(m_Ldr(X46),queue(host(X45))) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f133,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( ? [X8,X7,X6] :
                ( ( norm = index(status,host(X5)) )
                & ( host(X5) = index(ldr,host(X5)) )
                & setIn(X5,alive)
                & ( host(X7) = s(index(pendack,host(X8))) )
                & ( host(X6) = index(pendack,host(X8)) )
                & ( elec_2 = index(status,host(X8)) )
                & elem(m_Ack(X8,X6),snoc(queue(host(X8)),m_Ldr(sK2)))
                & elem(m_Down(X7),snoc(queue(host(X8)),m_Ldr(sK2)))
                & leq(nbr_proc,s(index(pendack,host(X8))))
                & setIn(X8,alive)
                & ( host(X8) != host(sK2) )
                & ( host(X4) = host(X8) ) )
            & ( host(X5) != host(sK2) ) )
        & ( ( host(X4) = host(sK3) )
          | setIn(host(X4),index(acks,host(sK2))) ) )
   => ( ? [X5] :
          ( ? [X8,X7,X6] :
              ( ( norm = index(status,host(X5)) )
              & ( host(X5) = index(ldr,host(X5)) )
              & setIn(X5,alive)
              & ( host(X7) = s(index(pendack,host(X8))) )
              & ( host(X6) = index(pendack,host(X8)) )
              & ( elec_2 = index(status,host(X8)) )
              & elem(m_Ack(X8,X6),snoc(queue(host(X8)),m_Ldr(sK2)))
              & elem(m_Down(X7),snoc(queue(host(X8)),m_Ldr(sK2)))
              & leq(nbr_proc,s(index(pendack,host(X8))))
              & setIn(X8,alive)
              & ( host(X8) != host(sK2) )
              & ( host(X8) = host(sK4) ) )
          & ( host(X5) != host(sK2) ) )
      & ( ( host(sK3) = host(sK4) )
        | setIn(host(sK4),index(acks,host(sK2))) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f134,plain,
    ( ? [X5] :
        ( ? [X8,X7,X6] :
            ( ( norm = index(status,host(X5)) )
            & ( host(X5) = index(ldr,host(X5)) )
            & setIn(X5,alive)
            & ( host(X7) = s(index(pendack,host(X8))) )
            & ( host(X6) = index(pendack,host(X8)) )
            & ( elec_2 = index(status,host(X8)) )
            & elem(m_Ack(X8,X6),snoc(queue(host(X8)),m_Ldr(sK2)))
            & elem(m_Down(X7),snoc(queue(host(X8)),m_Ldr(sK2)))
            & leq(nbr_proc,s(index(pendack,host(X8))))
            & setIn(X8,alive)
            & ( host(X8) != host(sK2) )
            & ( host(X8) = host(sK4) ) )
        & ( host(X5) != host(sK2) ) )
   => ( ? [X8,X7,X6] :
          ( ( norm = index(status,host(sK5)) )
          & ( host(sK5) = index(ldr,host(sK5)) )
          & setIn(sK5,alive)
          & ( host(X7) = s(index(pendack,host(X8))) )
          & ( host(X6) = index(pendack,host(X8)) )
          & ( elec_2 = index(status,host(X8)) )
          & elem(m_Ack(X8,X6),snoc(queue(host(X8)),m_Ldr(sK2)))
          & elem(m_Down(X7),snoc(queue(host(X8)),m_Ldr(sK2)))
          & leq(nbr_proc,s(index(pendack,host(X8))))
          & setIn(X8,alive)
          & ( host(X8) != host(sK2) )
          & ( host(X8) = host(sK4) ) )
      & ( host(sK2) != host(sK5) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f135,plain,
    ( ? [X8,X7,X6] :
        ( ( norm = index(status,host(sK5)) )
        & ( host(sK5) = index(ldr,host(sK5)) )
        & setIn(sK5,alive)
        & ( host(X7) = s(index(pendack,host(X8))) )
        & ( host(X6) = index(pendack,host(X8)) )
        & ( elec_2 = index(status,host(X8)) )
        & elem(m_Ack(X8,X6),snoc(queue(host(X8)),m_Ldr(sK2)))
        & elem(m_Down(X7),snoc(queue(host(X8)),m_Ldr(sK2)))
        & leq(nbr_proc,s(index(pendack,host(X8))))
        & setIn(X8,alive)
        & ( host(X8) != host(sK2) )
        & ( host(X8) = host(sK4) ) )
   => ( ( norm = index(status,host(sK5)) )
      & ( host(sK5) = index(ldr,host(sK5)) )
      & setIn(sK5,alive)
      & ( host(sK7) = s(index(pendack,host(sK8))) )
      & ( index(pendack,host(sK8)) = host(sK6) )
      & ( elec_2 = index(status,host(sK8)) )
      & elem(m_Ack(sK8,sK6),snoc(queue(host(sK8)),m_Ldr(sK2)))
      & elem(m_Down(sK7),snoc(queue(host(sK8)),m_Ldr(sK2)))
      & leq(nbr_proc,s(index(pendack,host(sK8))))
      & setIn(sK8,alive)
      & ( host(sK2) != host(sK8) )
      & ( host(sK4) = host(sK8) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f136,plain,
    ! [X15,X16] :
      ( ? [X17] :
          ( ( host(X15) != X17 )
          & ~ setIn(X17,index(down,host(X16)))
          & leq(s(zero),X17)
          & ~ leq(host(X16),X17) )
     => ( ( host(X15) != sK9(X15,X16) )
        & ~ setIn(sK9(X15,X16),index(down,host(X16)))
        & leq(s(zero),sK9(X15,X16))
        & ~ leq(host(X16),sK9(X15,X16)) ) ),
    introduced(choice_axiom,[]) ).

tff(f131,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X4] :
          ( ? [X5] :
              ( ? [X6,X7,X8] :
                  ( ( norm = index(status,host(X5)) )
                  & ( host(X5) = index(ldr,host(X5)) )
                  & setIn(X5,alive)
                  & ( host(X7) = s(index(pendack,host(X8))) )
                  & ( host(X6) = index(pendack,host(X8)) )
                  & ( elec_2 = index(status,host(X8)) )
                  & elem(m_Ack(X8,X6),snoc(queue(host(X8)),m_Ldr(X2)))
                  & elem(m_Down(X7),snoc(queue(host(X8)),m_Ldr(X2)))
                  & leq(nbr_proc,s(index(pendack,host(X8))))
                  & setIn(X8,alive)
                  & ( host(X2) != host(X8) )
                  & ( host(X4) = host(X8) ) )
              & ( host(X2) != host(X5) ) )
          & ( ( host(X3) = host(X4) )
            | setIn(host(X4),index(acks,host(X2))) ) )
      & leq(nbr_proc,index(pendack,host(X2)))
      & ( host(X3) = index(pendack,host(X2)) )
      & ( elec_2 = index(status,host(X2)) )
      & ( index(elid,host(X2)) = X1 )
      & setIn(X2,alive)
      & ( queue(host(X2)) = cons(m_Ack(X1,X3),X0) )
      & ! [X9,X10,X11,X12] :
          ( ( norm != index(status,host(X9)) )
          | ( host(X9) != index(ldr,host(X9)) )
          | ~ setIn(X9,alive)
          | ( host(X11) != s(index(pendack,host(X12))) )
          | ( host(X10) != index(pendack,host(X12)) )
          | ( elec_2 != index(status,host(X12)) )
          | ~ leq(nbr_proc,s(index(pendack,host(X12))))
          | ~ elem(m_Ack(X12,X10),queue(host(X12)))
          | ~ elem(m_Down(X11),queue(host(X12)))
          | ~ setIn(X12,alive) )
      & ! [X13,X14,X15,X16] :
          ( ~ elem(m_Down(X14),queue(host(X13)))
          | ~ setIn(X13,alive)
          | ( elec_1 != index(status,host(X16)) )
          | ( host(X14) != host(X16) )
          | ( nbr_proc != host(X16) )
          | ~ elem(m_Down(X15),queue(host(X16)))
          | ? [X17] :
              ( ( host(X15) != X17 )
              & ~ setIn(X17,index(down,host(X16)))
              & leq(s(zero),X17)
              & ~ leq(host(X16),X17) ) )
      & ! [X18,X19,X20] :
          ( ( norm != index(status,host(X18)) )
          | ( host(X18) != index(ldr,host(X18)) )
          | ~ setIn(X18,alive)
          | ( elec_2 != index(status,host(X20)) )
          | ~ elem(m_Halt(X20),queue(host(X19)))
          | ~ setIn(X20,alive)
          | leq(index(pendack,host(X20)),host(X18)) )
      & ! [X21,X22] :
          ( ~ leq(index(pendack,host(X21)),index(pendack,host(X22)))
          | ( elec_2 != index(status,host(X22)) )
          | ( elec_2 != index(status,host(X21)) )
          | ~ setIn(X22,alive)
          | ~ setIn(X21,alive)
          | leq(host(X21),host(X22)) )
      & ! [X23,X24,X25] :
          ( ~ elem(m_Ack(X23,X24),queue(host(X23)))
          | ( elec_2 != index(status,host(X25)) )
          | ( elec_2 != index(status,host(X23)) )
          | ( host(X24) != host(X25) )
          | ~ setIn(X25,alive)
          | ~ setIn(X23,alive) )
      & ! [X26,X27] :
          ( leq(index(pendack,host(X27)),host(X26))
          | ( elec_2 != index(status,host(X27)) )
          | ( elec_2 != index(status,host(X26)) )
          | ~ setIn(X27,alive)
          | ~ setIn(X26,alive)
          | leq(host(X26),host(X27)) )
      & ! [X28,X29,X30] :
          ( ( norm != index(status,host(X28)) )
          | ( host(X28) != index(ldr,host(X28)) )
          | ~ setIn(X28,alive)
          | ( host(X28) != host(X29) )
          | ~ elem(m_Down(X29),queue(host(X30)))
          | ~ setIn(X30,alive) )
      & ! [X31] :
          ( ( index(elid,host(X31)) = X31 )
          | ~ setIn(X31,alive)
          | ( ( elec_2 != index(status,host(X31)) )
            & ( elec_1 != index(status,host(X31)) ) ) )
      & ! [X32,X33] :
          ( ~ elem(m_Ack(X33,X32),queue(host(X33)))
          | ( elec_1 != index(status,host(X33)) )
          | ~ setIn(X33,alive) )
      & ! [X34,X35] :
          ( leq(host(X34),index(pendack,host(X35)))
          | ~ elem(m_Ack(X35,X34),queue(host(X35)))
          | ~ setIn(X35,alive) )
      & ! [X36,X37] :
          ( ~ setIn(X37,alive)
          | ~ setIn(X36,alive)
          | ( host(X36) != host(X37) )
          | ( X36 = X37 ) )
      & ! [X38,X39,X40] :
          ( ~ leq(host(X38),host(X40))
          | ~ elem(m_Ack(X40,X38),queue(host(X39))) )
      & ! [X41,X42] :
          ( ~ leq(host(X41),host(X42))
          | ~ elem(m_Halt(X42),queue(host(X41))) )
      & ! [X43,X44] :
          ( ( host(X43) != host(X44) )
          | ~ elem(m_Down(X44),queue(host(X43))) )
      & ! [X45,X46] :
          ( ~ leq(host(X45),host(X46))
          | ~ elem(m_Ldr(X46),queue(host(X45))) ) ),
    inference(rectify,[],[f115]) ).

tff(f115,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X42] :
          ( ? [X43] :
              ( ? [X44,X45,X46] :
                  ( ( norm = index(status,host(X43)) )
                  & ( host(X43) = index(ldr,host(X43)) )
                  & setIn(X43,alive)
                  & ( s(index(pendack,host(X46))) = host(X45) )
                  & ( index(pendack,host(X46)) = host(X44) )
                  & ( elec_2 = index(status,host(X46)) )
                  & elem(m_Ack(X46,X44),snoc(queue(host(X46)),m_Ldr(X2)))
                  & elem(m_Down(X45),snoc(queue(host(X46)),m_Ldr(X2)))
                  & leq(nbr_proc,s(index(pendack,host(X46))))
                  & setIn(X46,alive)
                  & ( host(X2) != host(X46) )
                  & ( host(X42) = host(X46) ) )
              & ( host(X2) != host(X43) ) )
          & ( ( host(X3) = host(X42) )
            | setIn(host(X42),index(acks,host(X2))) ) )
      & leq(nbr_proc,index(pendack,host(X2)))
      & ( host(X3) = index(pendack,host(X2)) )
      & ( elec_2 = index(status,host(X2)) )
      & ( index(elid,host(X2)) = X1 )
      & setIn(X2,alive)
      & ( queue(host(X2)) = cons(m_Ack(X1,X3),X0) )
      & ! [X4,X5,X6,X7] :
          ( ( norm != index(status,host(X4)) )
          | ( host(X4) != index(ldr,host(X4)) )
          | ~ setIn(X4,alive)
          | ( host(X6) != s(index(pendack,host(X7))) )
          | ( host(X5) != index(pendack,host(X7)) )
          | ( elec_2 != index(status,host(X7)) )
          | ~ leq(nbr_proc,s(index(pendack,host(X7))))
          | ~ elem(m_Ack(X7,X5),queue(host(X7)))
          | ~ elem(m_Down(X6),queue(host(X7)))
          | ~ setIn(X7,alive) )
      & ! [X8,X9,X10,X11] :
          ( ~ elem(m_Down(X9),queue(host(X8)))
          | ~ setIn(X8,alive)
          | ( elec_1 != index(status,host(X11)) )
          | ( host(X11) != host(X9) )
          | ( nbr_proc != host(X11) )
          | ~ elem(m_Down(X10),queue(host(X11)))
          | ? [X12] :
              ( ( host(X10) != X12 )
              & ~ setIn(X12,index(down,host(X11)))
              & leq(s(zero),X12)
              & ~ leq(host(X11),X12) ) )
      & ! [X13,X14,X15] :
          ( ( norm != index(status,host(X13)) )
          | ( host(X13) != index(ldr,host(X13)) )
          | ~ setIn(X13,alive)
          | ( elec_2 != index(status,host(X15)) )
          | ~ elem(m_Halt(X15),queue(host(X14)))
          | ~ setIn(X15,alive)
          | leq(index(pendack,host(X15)),host(X13)) )
      & ! [X16,X17] :
          ( ~ leq(index(pendack,host(X16)),index(pendack,host(X17)))
          | ( elec_2 != index(status,host(X17)) )
          | ( elec_2 != index(status,host(X16)) )
          | ~ setIn(X17,alive)
          | ~ setIn(X16,alive)
          | leq(host(X16),host(X17)) )
      & ! [X18,X19,X20] :
          ( ~ elem(m_Ack(X18,X19),queue(host(X18)))
          | ( elec_2 != index(status,host(X20)) )
          | ( elec_2 != index(status,host(X18)) )
          | ( host(X19) != host(X20) )
          | ~ setIn(X20,alive)
          | ~ setIn(X18,alive) )
      & ! [X21,X22] :
          ( leq(index(pendack,host(X22)),host(X21))
          | ( elec_2 != index(status,host(X22)) )
          | ( elec_2 != index(status,host(X21)) )
          | ~ setIn(X22,alive)
          | ~ setIn(X21,alive)
          | leq(host(X21),host(X22)) )
      & ! [X23,X24,X25] :
          ( ( norm != index(status,host(X23)) )
          | ( host(X23) != index(ldr,host(X23)) )
          | ~ setIn(X23,alive)
          | ( host(X23) != host(X24) )
          | ~ elem(m_Down(X24),queue(host(X25)))
          | ~ setIn(X25,alive) )
      & ! [X26] :
          ( ( index(elid,host(X26)) = X26 )
          | ~ setIn(X26,alive)
          | ( ( elec_2 != index(status,host(X26)) )
            & ( elec_1 != index(status,host(X26)) ) ) )
      & ! [X27,X28] :
          ( ~ elem(m_Ack(X28,X27),queue(host(X28)))
          | ( elec_1 != index(status,host(X28)) )
          | ~ setIn(X28,alive) )
      & ! [X29,X30] :
          ( leq(host(X29),index(pendack,host(X30)))
          | ~ elem(m_Ack(X30,X29),queue(host(X30)))
          | ~ setIn(X30,alive) )
      & ! [X31,X32] :
          ( ~ setIn(X32,alive)
          | ~ setIn(X31,alive)
          | ( host(X31) != host(X32) )
          | ( X31 = X32 ) )
      & ! [X33,X34,X35] :
          ( ~ leq(host(X33),host(X35))
          | ~ elem(m_Ack(X35,X33),queue(host(X34))) )
      & ! [X36,X37] :
          ( ~ leq(host(X36),host(X37))
          | ~ elem(m_Halt(X37),queue(host(X36))) )
      & ! [X38,X39] :
          ( ( host(X38) != host(X39) )
          | ~ elem(m_Down(X39),queue(host(X38))) )
      & ! [X40,X41] :
          ( ~ leq(host(X40),host(X41))
          | ~ elem(m_Ldr(X41),queue(host(X40))) ) ),
    inference(flattening,[],[f114]) ).

tff(f114,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X42] :
          ( ? [X43] :
              ( ? [X44,X45,X46] :
                  ( ( norm = index(status,host(X43)) )
                  & ( host(X43) = index(ldr,host(X43)) )
                  & setIn(X43,alive)
                  & ( s(index(pendack,host(X46))) = host(X45) )
                  & ( index(pendack,host(X46)) = host(X44) )
                  & ( elec_2 = index(status,host(X46)) )
                  & elem(m_Ack(X46,X44),snoc(queue(host(X46)),m_Ldr(X2)))
                  & elem(m_Down(X45),snoc(queue(host(X46)),m_Ldr(X2)))
                  & leq(nbr_proc,s(index(pendack,host(X46))))
                  & setIn(X46,alive)
                  & ( host(X2) != host(X46) )
                  & ( host(X42) = host(X46) ) )
              & ( host(X2) != host(X43) ) )
          & ( ( host(X3) = host(X42) )
            | setIn(host(X42),index(acks,host(X2))) ) )
      & leq(nbr_proc,index(pendack,host(X2)))
      & ( host(X3) = index(pendack,host(X2)) )
      & ( elec_2 = index(status,host(X2)) )
      & ( index(elid,host(X2)) = X1 )
      & setIn(X2,alive)
      & ( queue(host(X2)) = cons(m_Ack(X1,X3),X0) )
      & ! [X4,X5,X6,X7] :
          ( ( norm != index(status,host(X4)) )
          | ( host(X4) != index(ldr,host(X4)) )
          | ~ setIn(X4,alive)
          | ( host(X6) != s(index(pendack,host(X7))) )
          | ( host(X5) != index(pendack,host(X7)) )
          | ( elec_2 != index(status,host(X7)) )
          | ~ leq(nbr_proc,s(index(pendack,host(X7))))
          | ~ elem(m_Ack(X7,X5),queue(host(X7)))
          | ~ elem(m_Down(X6),queue(host(X7)))
          | ~ setIn(X7,alive) )
      & ! [X8,X9,X10,X11] :
          ( ~ elem(m_Down(X9),queue(host(X8)))
          | ~ setIn(X8,alive)
          | ( elec_1 != index(status,host(X11)) )
          | ( host(X11) != host(X9) )
          | ( nbr_proc != host(X11) )
          | ~ elem(m_Down(X10),queue(host(X11)))
          | ? [X12] :
              ( ( host(X10) != X12 )
              & ~ setIn(X12,index(down,host(X11)))
              & leq(s(zero),X12)
              & ~ leq(host(X11),X12) ) )
      & ! [X13,X14,X15] :
          ( ( norm != index(status,host(X13)) )
          | ( host(X13) != index(ldr,host(X13)) )
          | ~ setIn(X13,alive)
          | ( elec_2 != index(status,host(X15)) )
          | ~ elem(m_Halt(X15),queue(host(X14)))
          | ~ setIn(X15,alive)
          | leq(index(pendack,host(X15)),host(X13)) )
      & ! [X16,X17] :
          ( ~ leq(index(pendack,host(X16)),index(pendack,host(X17)))
          | ( elec_2 != index(status,host(X17)) )
          | ( elec_2 != index(status,host(X16)) )
          | ~ setIn(X17,alive)
          | ~ setIn(X16,alive)
          | leq(host(X16),host(X17)) )
      & ! [X18,X19,X20] :
          ( ~ elem(m_Ack(X18,X19),queue(host(X18)))
          | ( elec_2 != index(status,host(X20)) )
          | ( elec_2 != index(status,host(X18)) )
          | ( host(X19) != host(X20) )
          | ~ setIn(X20,alive)
          | ~ setIn(X18,alive) )
      & ! [X21,X22] :
          ( leq(index(pendack,host(X22)),host(X21))
          | ( elec_2 != index(status,host(X22)) )
          | ( elec_2 != index(status,host(X21)) )
          | ~ setIn(X22,alive)
          | ~ setIn(X21,alive)
          | leq(host(X21),host(X22)) )
      & ! [X23,X24,X25] :
          ( ( norm != index(status,host(X23)) )
          | ( host(X23) != index(ldr,host(X23)) )
          | ~ setIn(X23,alive)
          | ( host(X23) != host(X24) )
          | ~ elem(m_Down(X24),queue(host(X25)))
          | ~ setIn(X25,alive) )
      & ! [X26] :
          ( ( index(elid,host(X26)) = X26 )
          | ~ setIn(X26,alive)
          | ( ( elec_2 != index(status,host(X26)) )
            & ( elec_1 != index(status,host(X26)) ) ) )
      & ! [X27,X28] :
          ( ~ elem(m_Ack(X28,X27),queue(host(X28)))
          | ( elec_1 != index(status,host(X28)) )
          | ~ setIn(X28,alive) )
      & ! [X29,X30] :
          ( leq(host(X29),index(pendack,host(X30)))
          | ~ elem(m_Ack(X30,X29),queue(host(X30)))
          | ~ setIn(X30,alive) )
      & ! [X31,X32] :
          ( ~ setIn(X32,alive)
          | ~ setIn(X31,alive)
          | ( host(X31) != host(X32) )
          | ( X31 = X32 ) )
      & ! [X33,X34,X35] :
          ( ~ leq(host(X33),host(X35))
          | ~ elem(m_Ack(X35,X33),queue(host(X34))) )
      & ! [X36,X37] :
          ( ~ leq(host(X36),host(X37))
          | ~ elem(m_Halt(X37),queue(host(X36))) )
      & ! [X38,X39] :
          ( ( host(X38) != host(X39) )
          | ~ elem(m_Down(X39),queue(host(X38))) )
      & ! [X40,X41] :
          ( ~ leq(host(X40),host(X41))
          | ~ elem(m_Ldr(X41),queue(host(X40))) ) ),
    inference(ennf_transformation,[],[f69]) ).

tff(f69,plain,
    ~ ! [X0,X1,X2,X3] :
        ( ( ( queue(host(X2)) = cons(m_Ack(X1,X3),X0) )
          & ! [X4,X5,X6,X7] :
              ( ( ( host(X6) = s(index(pendack,host(X7))) )
                & ( host(X5) = index(pendack,host(X7)) )
                & ( elec_2 = index(status,host(X7)) )
                & leq(nbr_proc,s(index(pendack,host(X7))))
                & elem(m_Ack(X7,X5),queue(host(X7)))
                & elem(m_Down(X6),queue(host(X7)))
                & setIn(X7,alive) )
             => ~ ( ( norm = index(status,host(X4)) )
                  & ( host(X4) = index(ldr,host(X4)) )
                  & setIn(X4,alive) ) )
          & ! [X8,X9,X10,X11] :
              ( ( ( elec_1 = index(status,host(X11)) )
                & ( host(X11) = host(X9) )
                & ( nbr_proc = host(X11) )
                & elem(m_Down(X10),queue(host(X11)))
                & ! [X12] :
                    ( ( leq(s(zero),X12)
                      & ~ leq(host(X11),X12) )
                   => ( ( host(X10) = X12 )
                      | setIn(X12,index(down,host(X11))) ) ) )
             => ~ ( elem(m_Down(X9),queue(host(X8)))
                  & setIn(X8,alive) ) )
          & ! [X13,X14,X15] :
              ( ( ( elec_2 = index(status,host(X15)) )
                & elem(m_Halt(X15),queue(host(X14)))
                & setIn(X15,alive)
                & ~ leq(index(pendack,host(X15)),host(X13)) )
             => ~ ( ( norm = index(status,host(X13)) )
                  & ( host(X13) = index(ldr,host(X13)) )
                  & setIn(X13,alive) ) )
          & ! [X16,X17] :
              ( ( ( elec_2 = index(status,host(X17)) )
                & ( elec_2 = index(status,host(X16)) )
                & setIn(X17,alive)
                & setIn(X16,alive)
                & ~ leq(host(X16),host(X17)) )
             => ~ leq(index(pendack,host(X16)),index(pendack,host(X17))) )
          & ! [X18,X19,X20] :
              ( ( ( elec_2 = index(status,host(X20)) )
                & ( elec_2 = index(status,host(X18)) )
                & ( host(X19) = host(X20) )
                & setIn(X20,alive)
                & setIn(X18,alive) )
             => ~ elem(m_Ack(X18,X19),queue(host(X18))) )
          & ! [X21,X22] :
              ( ( ( elec_2 = index(status,host(X22)) )
                & ( elec_2 = index(status,host(X21)) )
                & setIn(X22,alive)
                & setIn(X21,alive)
                & ~ leq(host(X21),host(X22)) )
             => leq(index(pendack,host(X22)),host(X21)) )
          & ! [X23,X24,X25] :
              ( ( ( host(X23) = host(X24) )
                & elem(m_Down(X24),queue(host(X25)))
                & setIn(X25,alive) )
             => ~ ( ( norm = index(status,host(X23)) )
                  & ( host(X23) = index(ldr,host(X23)) )
                  & setIn(X23,alive) ) )
          & ! [X26] :
              ( ( setIn(X26,alive)
                & ( ( elec_2 = index(status,host(X26)) )
                  | ( elec_1 = index(status,host(X26)) ) ) )
             => ( index(elid,host(X26)) = X26 ) )
          & ! [X27,X28] :
              ( ( ( elec_1 = index(status,host(X28)) )
                & setIn(X28,alive) )
             => ~ elem(m_Ack(X28,X27),queue(host(X28))) )
          & ! [X29,X30] :
              ( ( elem(m_Ack(X30,X29),queue(host(X30)))
                & setIn(X30,alive) )
             => leq(host(X29),index(pendack,host(X30))) )
          & ! [X31,X32] :
              ( ( ( host(X31) = host(X32) )
                & ( X31 != X32 ) )
             => ( ~ setIn(X32,alive)
                | ~ setIn(X31,alive) ) )
          & ! [X33,X34,X35] :
              ( elem(m_Ack(X35,X33),queue(host(X34)))
             => ~ leq(host(X33),host(X35)) )
          & ! [X36,X37] :
              ( elem(m_Halt(X37),queue(host(X36)))
             => ~ leq(host(X36),host(X37)) )
          & ! [X38,X39] :
              ( elem(m_Down(X39),queue(host(X38)))
             => ( host(X38) != host(X39) ) )
          & ! [X40,X41] :
              ( elem(m_Ldr(X41),queue(host(X40)))
             => ~ leq(host(X40),host(X41)) ) )
       => ( setIn(X2,alive)
         => ( ( ( host(X3) = index(pendack,host(X2)) )
              & ( elec_2 = index(status,host(X2)) )
              & ( index(elid,host(X2)) = X1 ) )
           => ( leq(nbr_proc,index(pendack,host(X2)))
             => ! [X42] :
                  ( ( ( host(X3) = host(X42) )
                    | setIn(host(X42),index(acks,host(X2))) )
                 => ! [X43] :
                      ( ( host(X2) != host(X43) )
                     => ! [X44,X45,X46] :
                          ( ( host(X42) = host(X46) )
                         => ( ( host(X2) != host(X46) )
                           => ( ( ( s(index(pendack,host(X46))) = host(X45) )
                                & ( index(pendack,host(X46)) = host(X44) )
                                & ( elec_2 = index(status,host(X46)) )
                                & elem(m_Ack(X46,X44),snoc(queue(host(X46)),m_Ldr(X2)))
                                & elem(m_Down(X45),snoc(queue(host(X46)),m_Ldr(X2)))
                                & leq(nbr_proc,s(index(pendack,host(X46))))
                                & setIn(X46,alive) )
                             => ~ ( ( norm = index(status,host(X43)) )
                                  & ( host(X43) = index(ldr,host(X43)) )
                                  & setIn(X43,alive) ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f68]) ).

tff(f68,negated_conjecture,
    ~ ! [X11,X12,X4,X5] :
        ( ( ( queue(host(X4)) = cons(m_Ack(X12,X5),X11) )
          & ! [X6,X15,X14,X13] :
              ( ( ( host(X14) = s(index(pendack,host(X13))) )
                & ( index(pendack,host(X13)) = host(X15) )
                & ( elec_2 = index(status,host(X13)) )
                & leq(nbr_proc,s(index(pendack,host(X13))))
                & elem(m_Ack(X13,X15),queue(host(X13)))
                & elem(m_Down(X14),queue(host(X13)))
                & setIn(X13,alive) )
             => ~ ( ( norm = index(status,host(X6)) )
                  & ( host(X6) = index(ldr,host(X6)) )
                  & setIn(X6,alive) ) )
          & ! [X6,X15,X14,X13] :
              ( ( ( elec_1 = index(status,host(X13)) )
                & ( host(X13) = host(X15) )
                & ( nbr_proc = host(X13) )
                & elem(m_Down(X14),queue(host(X13)))
                & ! [X16] :
                    ( ( leq(s(zero),X16)
                      & ~ leq(host(X13),X16) )
                   => ( ( host(X14) = X16 )
                      | setIn(X16,index(down,host(X13))) ) ) )
             => ~ ( elem(m_Down(X15),queue(host(X6)))
                  & setIn(X6,alive) ) )
          & ! [X6,X14,X13] :
              ( ( ( elec_2 = index(status,host(X13)) )
                & elem(m_Halt(X13),queue(host(X14)))
                & setIn(X13,alive)
                & ~ leq(index(pendack,host(X13)),host(X6)) )
             => ~ ( ( norm = index(status,host(X6)) )
                  & ( host(X6) = index(ldr,host(X6)) )
                  & setIn(X6,alive) ) )
          & ! [X6,X13] :
              ( ( ( elec_2 = index(status,host(X13)) )
                & ( elec_2 = index(status,host(X6)) )
                & setIn(X13,alive)
                & setIn(X6,alive)
                & ~ leq(host(X6),host(X13)) )
             => ~ leq(index(pendack,host(X6)),index(pendack,host(X13))) )
          & ! [X6,X14,X13] :
              ( ( ( elec_2 = index(status,host(X13)) )
                & ( elec_2 = index(status,host(X6)) )
                & ( host(X13) = host(X14) )
                & setIn(X13,alive)
                & setIn(X6,alive) )
             => ~ elem(m_Ack(X6,X14),queue(host(X6))) )
          & ! [X6,X13] :
              ( ( ( elec_2 = index(status,host(X13)) )
                & ( elec_2 = index(status,host(X6)) )
                & setIn(X13,alive)
                & setIn(X6,alive)
                & ~ leq(host(X6),host(X13)) )
             => leq(index(pendack,host(X13)),host(X6)) )
          & ! [X6,X14,X13] :
              ( ( ( host(X6) = host(X14) )
                & elem(m_Down(X14),queue(host(X13)))
                & setIn(X13,alive) )
             => ~ ( ( norm = index(status,host(X6)) )
                  & ( host(X6) = index(ldr,host(X6)) )
                  & setIn(X6,alive) ) )
          & ! [X6] :
              ( ( setIn(X6,alive)
                & ( ( elec_2 = index(status,host(X6)) )
                  | ( elec_1 = index(status,host(X6)) ) ) )
             => ( index(elid,host(X6)) = X6 ) )
          & ! [X6,X13] :
              ( ( ( elec_1 = index(status,host(X13)) )
                & setIn(X13,alive) )
             => ~ elem(m_Ack(X13,X6),queue(host(X13))) )
          & ! [X6,X13] :
              ( ( elem(m_Ack(X13,X6),queue(host(X13)))
                & setIn(X13,alive) )
             => leq(host(X6),index(pendack,host(X13))) )
          & ! [X6,X13] :
              ( ( ( host(X6) = host(X13) )
                & ( X6 != X13 ) )
             => ( ~ setIn(X13,alive)
                | ~ setIn(X6,alive) ) )
          & ! [X6,X14,X13] :
              ( elem(m_Ack(X13,X6),queue(host(X14)))
             => ~ leq(host(X6),host(X13)) )
          & ! [X6,X13] :
              ( elem(m_Halt(X13),queue(host(X6)))
             => ~ leq(host(X6),host(X13)) )
          & ! [X6,X13] :
              ( elem(m_Down(X13),queue(host(X6)))
             => ( host(X6) != host(X13) ) )
          & ! [X6,X13] :
              ( elem(m_Ldr(X13),queue(host(X6)))
             => ~ leq(host(X6),host(X13)) ) )
       => ( setIn(X4,alive)
         => ( ( ( host(X5) = index(pendack,host(X4)) )
              & ( elec_2 = index(status,host(X4)) )
              & ( index(elid,host(X4)) = X12 ) )
           => ( leq(nbr_proc,index(pendack,host(X4)))
             => ! [X6] :
                  ( ( ( host(X5) = host(X6) )
                    | setIn(host(X6),index(acks,host(X4))) )
                 => ! [X16] :
                      ( ( host(X4) != host(X16) )
                     => ! [X17,X18,X19] :
                          ( ( host(X6) = host(X19) )
                         => ( ( host(X4) != host(X19) )
                           => ( ( ( s(index(pendack,host(X19))) = host(X18) )
                                & ( index(pendack,host(X19)) = host(X17) )
                                & ( elec_2 = index(status,host(X19)) )
                                & elem(m_Ack(X19,X17),snoc(queue(host(X19)),m_Ldr(X4)))
                                & elem(m_Down(X18),snoc(queue(host(X19)),m_Ldr(X4)))
                                & leq(nbr_proc,s(index(pendack,host(X19))))
                                & setIn(X19,alive) )
                             => ~ ( ( norm = index(status,host(X16)) )
                                  & ( host(X16) = index(ldr,host(X16)) )
                                  & setIn(X16,alive) ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[],[f67]) ).

tff(f67,conjecture,
    ! [X11,X12,X4,X5] :
      ( ( ( queue(host(X4)) = cons(m_Ack(X12,X5),X11) )
        & ! [X6,X15,X14,X13] :
            ( ( ( host(X14) = s(index(pendack,host(X13))) )
              & ( index(pendack,host(X13)) = host(X15) )
              & ( elec_2 = index(status,host(X13)) )
              & leq(nbr_proc,s(index(pendack,host(X13))))
              & elem(m_Ack(X13,X15),queue(host(X13)))
              & elem(m_Down(X14),queue(host(X13)))
              & setIn(X13,alive) )
           => ~ ( ( norm = index(status,host(X6)) )
                & ( host(X6) = index(ldr,host(X6)) )
                & setIn(X6,alive) ) )
        & ! [X6,X15,X14,X13] :
            ( ( ( elec_1 = index(status,host(X13)) )
              & ( host(X13) = host(X15) )
              & ( nbr_proc = host(X13) )
              & elem(m_Down(X14),queue(host(X13)))
              & ! [X16] :
                  ( ( leq(s(zero),X16)
                    & ~ leq(host(X13),X16) )
                 => ( ( host(X14) = X16 )
                    | setIn(X16,index(down,host(X13))) ) ) )
           => ~ ( elem(m_Down(X15),queue(host(X6)))
                & setIn(X6,alive) ) )
        & ! [X6,X14,X13] :
            ( ( ( elec_2 = index(status,host(X13)) )
              & elem(m_Halt(X13),queue(host(X14)))
              & setIn(X13,alive)
              & ~ leq(index(pendack,host(X13)),host(X6)) )
           => ~ ( ( norm = index(status,host(X6)) )
                & ( host(X6) = index(ldr,host(X6)) )
                & setIn(X6,alive) ) )
        & ! [X6,X13] :
            ( ( ( elec_2 = index(status,host(X13)) )
              & ( elec_2 = index(status,host(X6)) )
              & setIn(X13,alive)
              & setIn(X6,alive)
              & ~ leq(host(X6),host(X13)) )
           => ~ leq(index(pendack,host(X6)),index(pendack,host(X13))) )
        & ! [X6,X14,X13] :
            ( ( ( elec_2 = index(status,host(X13)) )
              & ( elec_2 = index(status,host(X6)) )
              & ( host(X13) = host(X14) )
              & setIn(X13,alive)
              & setIn(X6,alive) )
           => ~ elem(m_Ack(X6,X14),queue(host(X6))) )
        & ! [X6,X13] :
            ( ( ( elec_2 = index(status,host(X13)) )
              & ( elec_2 = index(status,host(X6)) )
              & setIn(X13,alive)
              & setIn(X6,alive)
              & ~ leq(host(X6),host(X13)) )
           => leq(index(pendack,host(X13)),host(X6)) )
        & ! [X6,X14,X13] :
            ( ( ( host(X6) = host(X14) )
              & elem(m_Down(X14),queue(host(X13)))
              & setIn(X13,alive) )
           => ~ ( ( norm = index(status,host(X6)) )
                & ( host(X6) = index(ldr,host(X6)) )
                & setIn(X6,alive) ) )
        & ! [X6] :
            ( ( setIn(X6,alive)
              & ( ( elec_2 = index(status,host(X6)) )
                | ( elec_1 = index(status,host(X6)) ) ) )
           => ( index(elid,host(X6)) = X6 ) )
        & ! [X6,X13] :
            ( ( ( elec_1 = index(status,host(X13)) )
              & setIn(X13,alive) )
           => ~ elem(m_Ack(X13,X6),queue(host(X13))) )
        & ! [X6,X13] :
            ( ( elem(m_Ack(X13,X6),queue(host(X13)))
              & setIn(X13,alive) )
           => leq(host(X6),index(pendack,host(X13))) )
        & ! [X6,X13] :
            ( ( ( host(X6) = host(X13) )
              & ( X6 != X13 ) )
           => ( ~ setIn(X13,alive)
              | ~ setIn(X6,alive) ) )
        & ! [X6,X14,X13] :
            ( elem(m_Ack(X13,X6),queue(host(X14)))
           => ~ leq(host(X6),host(X13)) )
        & ! [X6,X13] :
            ( elem(m_Halt(X13),queue(host(X6)))
           => ~ leq(host(X6),host(X13)) )
        & ! [X6,X13] :
            ( elem(m_Down(X13),queue(host(X6)))
           => ( host(X6) != host(X13) ) )
        & ! [X6,X13] :
            ( elem(m_Ldr(X13),queue(host(X6)))
           => ~ leq(host(X6),host(X13)) ) )
     => ( setIn(X4,alive)
       => ( ( ( host(X5) = index(pendack,host(X4)) )
            & ( elec_2 = index(status,host(X4)) )
            & ( index(elid,host(X4)) = X12 ) )
         => ( leq(nbr_proc,index(pendack,host(X4)))
           => ! [X6] :
                ( ( ( host(X5) = host(X6) )
                  | setIn(host(X6),index(acks,host(X4))) )
               => ! [X16] :
                    ( ( host(X4) != host(X16) )
                   => ! [X17,X18,X19] :
                        ( ( host(X6) = host(X19) )
                       => ( ( host(X4) != host(X19) )
                         => ( ( ( s(index(pendack,host(X19))) = host(X18) )
                              & ( index(pendack,host(X19)) = host(X17) )
                              & ( elec_2 = index(status,host(X19)) )
                              & elem(m_Ack(X19,X17),snoc(queue(host(X19)),m_Ldr(X4)))
                              & elem(m_Down(X18),snoc(queue(host(X19)),m_Ldr(X4)))
                              & leq(nbr_proc,s(index(pendack,host(X19))))
                              & setIn(X19,alive) )
                           => ~ ( ( norm = index(status,host(X16)) )
                                & ( host(X16) = index(ldr,host(X16)) )
                                & setIn(X16,alive) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.nsaAZIJsRP/Vampire---4.8_5692',conj) ).

tff(f733,plain,
    ( ~ sQ12_eqProxy($i,host(sK5),index(ldr,host(sK5)))
    | ~ spl13_4 ),
    inference(subsumption_resolution,[],[f732,f196]) ).

tff(f196,plain,
    setIn(sK5,alive),
    inference(cnf_transformation,[],[f137]) ).

tff(f732,plain,
    ( ~ setIn(sK5,alive)
    | ~ sQ12_eqProxy($i,host(sK5),index(ldr,host(sK5)))
    | ~ spl13_4 ),
    inference(resolution,[],[f378,f289]) ).

tff(f289,plain,
    sQ12_eqProxy($i,norm,index(status,host(sK5))),
    inference(equality_proxy_replacement,[],[f198,f288]) ).

tff(f198,plain,
    norm = index(status,host(sK5)),
    inference(cnf_transformation,[],[f137]) ).

tff(f378,plain,
    ( ! [X9: $i] :
        ( ~ sQ12_eqProxy($i,norm,index(status,host(X9)))
        | ~ setIn(X9,alive)
        | ~ sQ12_eqProxy($i,host(X9),index(ldr,host(X9))) )
    | ~ spl13_4 ),
    inference(avatar_component_clause,[],[f377]) ).

tff(f377,plain,
    ( spl13_4
  <=> ! [X9] :
        ( ~ sQ12_eqProxy($i,norm,index(status,host(X9)))
        | ~ setIn(X9,alive)
        | ~ sQ12_eqProxy($i,host(X9),index(ldr,host(X9))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).

tff(f731,plain,
    ~ spl13_3,
    inference(avatar_contradiction_clause,[],[f730]) ).

tff(f730,plain,
    ( $false
    | ~ spl13_3 ),
    inference(subsumption_resolution,[],[f729,f449]) ).

tff(f449,plain,
    sQ12_eqProxy($i,host(sK6),index(pendack,host(sK8))),
    inference(resolution,[],[f363,f292]) ).

tff(f292,plain,
    sQ12_eqProxy($i,index(pendack,host(sK8)),host(sK6)),
    inference(equality_proxy_replacement,[],[f194,f288]) ).

tff(f194,plain,
    index(pendack,host(sK8)) = host(sK6),
    inference(cnf_transformation,[],[f137]) ).

tff(f363,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( ~ sQ12_eqProxy(X0,X1,X2)
      | sQ12_eqProxy(X0,X2,X1) ),
    inference(equality_proxy_axiom,[],[f288]) ).

tff(f729,plain,
    ( ~ sQ12_eqProxy($i,host(sK6),index(pendack,host(sK8)))
    | ~ spl13_3 ),
    inference(resolution,[],[f575,f563]) ).

tff(f563,plain,
    elem(m_Ack(sK8,sK6),queue(host(sK8))),
    inference(subsumption_resolution,[],[f559,f320]) ).

tff(f320,plain,
    ! [X2: $i,X0: $i,X1: $i] : ~ sQ12_eqProxy($i,m_Ack(X0,X1),m_Ldr(X2)),
    inference(equality_proxy_replacement,[],[f203,f288]) ).

tff(f203,plain,
    ! [X2: $i,X0: $i,X1: $i] : ( m_Ack(X0,X1) != m_Ldr(X2) ),
    inference(cnf_transformation,[],[f74]) ).

tff(f74,plain,
    ! [X0,X1,X2] : ( m_Ack(X0,X1) != m_Ldr(X2) ),
    inference(rectify,[],[f15]) ).

tff(f15,axiom,
    ! [X4,X5,X6] : ( m_Ack(X4,X5) != m_Ldr(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.nsaAZIJsRP/Vampire---4.8_5692',axiom_14) ).

tff(f559,plain,
    ( sQ12_eqProxy($i,m_Ack(sK8,sK6),m_Ldr(sK2))
    | elem(m_Ack(sK8,sK6),queue(host(sK8))) ),
    inference(resolution,[],[f329,f192]) ).

tff(f192,plain,
    elem(m_Ack(sK8,sK6),snoc(queue(host(sK8)),m_Ldr(sK2))),
    inference(cnf_transformation,[],[f137]) ).

tff(f329,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ~ elem(X0,snoc(X2,X1))
      | sQ12_eqProxy($i,X0,X1)
      | elem(X0,X2) ),
    inference(equality_proxy_replacement,[],[f222,f288]) ).

tff(f222,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( elem(X0,X2)
      | ( X0 = X1 )
      | ~ elem(X0,snoc(X2,X1)) ),
    inference(cnf_transformation,[],[f149]) ).

tff(f149,plain,
    ! [X0,X1,X2] :
      ( ( elem(X0,snoc(X2,X1))
        | ( ~ elem(X0,X2)
          & ( X0 != X1 ) ) )
      & ( elem(X0,X2)
        | ( X0 = X1 )
        | ~ elem(X0,snoc(X2,X1)) ) ),
    inference(flattening,[],[f148]) ).

tff(f148,plain,
    ! [X0,X1,X2] :
      ( ( elem(X0,snoc(X2,X1))
        | ( ~ elem(X0,X2)
          & ( X0 != X1 ) ) )
      & ( elem(X0,X2)
        | ( X0 = X1 )
        | ~ elem(X0,snoc(X2,X1)) ) ),
    inference(nnf_transformation,[],[f81]) ).

tff(f81,plain,
    ! [X0,X1,X2] :
      ( elem(X0,snoc(X2,X1))
    <=> ( elem(X0,X2)
        | ( X0 = X1 ) ) ),
    inference(rectify,[],[f48]) ).

tff(f48,axiom,
    ! [X4,X5,X3] :
      ( elem(X4,snoc(X3,X5))
    <=> ( elem(X4,X3)
        | ( X4 = X5 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.nsaAZIJsRP/Vampire---4.8_5692',axiom_47) ).

tff(f575,plain,
    ( ! [X0: $i] :
        ( ~ elem(m_Ack(sK8,X0),queue(host(sK8)))
        | ~ sQ12_eqProxy($i,host(X0),index(pendack,host(sK8))) )
    | ~ spl13_3 ),
    inference(subsumption_resolution,[],[f574,f293]) ).

tff(f293,plain,
    sQ12_eqProxy($i,elec_2,index(status,host(sK8))),
    inference(equality_proxy_replacement,[],[f193,f288]) ).

tff(f193,plain,
    elec_2 = index(status,host(sK8)),
    inference(cnf_transformation,[],[f137]) ).

tff(f574,plain,
    ( ! [X0: $i] :
        ( ~ elem(m_Ack(sK8,X0),queue(host(sK8)))
        | ~ sQ12_eqProxy($i,elec_2,index(status,host(sK8)))
        | ~ sQ12_eqProxy($i,host(X0),index(pendack,host(sK8))) )
    | ~ spl13_3 ),
    inference(subsumption_resolution,[],[f573,f190]) ).

tff(f190,plain,
    leq(nbr_proc,s(index(pendack,host(sK8)))),
    inference(cnf_transformation,[],[f137]) ).

tff(f573,plain,
    ( ! [X0: $i] :
        ( ~ elem(m_Ack(sK8,X0),queue(host(sK8)))
        | ~ leq(nbr_proc,s(index(pendack,host(sK8))))
        | ~ sQ12_eqProxy($i,elec_2,index(status,host(sK8)))
        | ~ sQ12_eqProxy($i,host(X0),index(pendack,host(sK8))) )
    | ~ spl13_3 ),
    inference(subsumption_resolution,[],[f572,f291]) ).

tff(f291,plain,
    sQ12_eqProxy($i,host(sK7),s(index(pendack,host(sK8)))),
    inference(equality_proxy_replacement,[],[f195,f288]) ).

tff(f195,plain,
    host(sK7) = s(index(pendack,host(sK8))),
    inference(cnf_transformation,[],[f137]) ).

tff(f572,plain,
    ( ! [X0: $i] :
        ( ~ sQ12_eqProxy($i,host(sK7),s(index(pendack,host(sK8))))
        | ~ elem(m_Ack(sK8,X0),queue(host(sK8)))
        | ~ leq(nbr_proc,s(index(pendack,host(sK8))))
        | ~ sQ12_eqProxy($i,elec_2,index(status,host(sK8)))
        | ~ sQ12_eqProxy($i,host(X0),index(pendack,host(sK8))) )
    | ~ spl13_3 ),
    inference(subsumption_resolution,[],[f571,f189]) ).

tff(f189,plain,
    setIn(sK8,alive),
    inference(cnf_transformation,[],[f137]) ).

tff(f571,plain,
    ( ! [X0: $i] :
        ( ~ setIn(sK8,alive)
        | ~ sQ12_eqProxy($i,host(sK7),s(index(pendack,host(sK8))))
        | ~ elem(m_Ack(sK8,X0),queue(host(sK8)))
        | ~ leq(nbr_proc,s(index(pendack,host(sK8))))
        | ~ sQ12_eqProxy($i,elec_2,index(status,host(sK8)))
        | ~ sQ12_eqProxy($i,host(X0),index(pendack,host(sK8))) )
    | ~ spl13_3 ),
    inference(resolution,[],[f562,f375]) ).

tff(f375,plain,
    ( ! [X10: $i,X11: $i,X12: $i] :
        ( ~ elem(m_Down(X11),queue(host(X12)))
        | ~ setIn(X12,alive)
        | ~ sQ12_eqProxy($i,host(X11),s(index(pendack,host(X12))))
        | ~ elem(m_Ack(X12,X10),queue(host(X12)))
        | ~ leq(nbr_proc,s(index(pendack,host(X12))))
        | ~ sQ12_eqProxy($i,elec_2,index(status,host(X12)))
        | ~ sQ12_eqProxy($i,host(X10),index(pendack,host(X12))) )
    | ~ spl13_3 ),
    inference(avatar_component_clause,[],[f374]) ).

tff(f374,plain,
    ( spl13_3
  <=> ! [X11,X12,X10] :
        ( ~ sQ12_eqProxy($i,host(X11),s(index(pendack,host(X12))))
        | ~ setIn(X12,alive)
        | ~ elem(m_Down(X11),queue(host(X12)))
        | ~ elem(m_Ack(X12,X10),queue(host(X12)))
        | ~ leq(nbr_proc,s(index(pendack,host(X12))))
        | ~ sQ12_eqProxy($i,elec_2,index(status,host(X12)))
        | ~ sQ12_eqProxy($i,host(X10),index(pendack,host(X12))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).

tff(f562,plain,
    elem(m_Down(sK7),queue(host(sK8))),
    inference(subsumption_resolution,[],[f558,f353]) ).

tff(f353,plain,
    ! [X0: $i,X1: $i] : ~ sQ12_eqProxy($i,m_Down(X0),m_Ldr(X1)),
    inference(equality_proxy_replacement,[],[f266,f288]) ).

tff(f266,plain,
    ! [X0: $i,X1: $i] : ( m_Down(X0) != m_Ldr(X1) ),
    inference(cnf_transformation,[],[f104]) ).

tff(f104,plain,
    ! [X0,X1] : ( m_Down(X0) != m_Ldr(X1) ),
    inference(rectify,[],[f19]) ).

tff(f19,axiom,
    ! [X4,X5] : ( m_Down(X4) != m_Ldr(X5) ),
    file('/export/starexec/sandbox/tmp/tmp.nsaAZIJsRP/Vampire---4.8_5692',axiom_18) ).

tff(f558,plain,
    ( sQ12_eqProxy($i,m_Down(sK7),m_Ldr(sK2))
    | elem(m_Down(sK7),queue(host(sK8))) ),
    inference(resolution,[],[f329,f191]) ).

tff(f191,plain,
    elem(m_Down(sK7),snoc(queue(host(sK8)),m_Ldr(sK2))),
    inference(cnf_transformation,[],[f137]) ).

tff(f379,plain,
    ( spl13_3
    | spl13_4 ),
    inference(avatar_split_clause,[],[f302,f377,f374]) ).

tff(f302,plain,
    ! [X10: $i,X11: $i,X9: $i,X12: $i] :
      ( ~ sQ12_eqProxy($i,norm,index(status,host(X9)))
      | ~ sQ12_eqProxy($i,host(X9),index(ldr,host(X9)))
      | ~ setIn(X9,alive)
      | ~ sQ12_eqProxy($i,host(X11),s(index(pendack,host(X12))))
      | ~ sQ12_eqProxy($i,host(X10),index(pendack,host(X12)))
      | ~ sQ12_eqProxy($i,elec_2,index(status,host(X12)))
      | ~ leq(nbr_proc,s(index(pendack,host(X12))))
      | ~ elem(m_Ack(X12,X10),queue(host(X12)))
      | ~ elem(m_Down(X11),queue(host(X12)))
      | ~ setIn(X12,alive) ),
    inference(equality_proxy_replacement,[],[f178,f288]) ).

tff(f178,plain,
    ! [X10: $i,X11: $i,X9: $i,X12: $i] :
      ( ( norm != index(status,host(X9)) )
      | ( host(X9) != index(ldr,host(X9)) )
      | ~ setIn(X9,alive)
      | ( host(X11) != s(index(pendack,host(X12))) )
      | ( host(X10) != index(pendack,host(X12)) )
      | ( elec_2 != index(status,host(X12)) )
      | ~ leq(nbr_proc,s(index(pendack,host(X12))))
      | ~ elem(m_Ack(X12,X10),queue(host(X12)))
      | ~ elem(m_Down(X11),queue(host(X12)))
      | ~ setIn(X12,alive) ),
    inference(cnf_transformation,[],[f137]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWV463+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n011.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 21:16:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.nsaAZIJsRP/Vampire---4.8_5692
% 0.55/0.76  % (5950)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.76  % (5951)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.76  % (5949)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.55/0.76  % (5948)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.76  % (5952)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.76  % (5953)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.76  % (5954)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.55/0.76  % (5955)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.60/0.78  % (5951)Instruction limit reached!
% 0.60/0.78  % (5951)------------------------------
% 0.60/0.78  % (5951)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (5951)Termination reason: Unknown
% 0.60/0.78  % (5951)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (5951)Memory used [KB]: 1539
% 0.60/0.78  % (5951)Time elapsed: 0.019 s
% 0.60/0.78  % (5951)Instructions burned: 33 (million)
% 0.60/0.78  % (5951)------------------------------
% 0.60/0.78  % (5951)------------------------------
% 0.60/0.78  % (5948)First to succeed.
% 0.60/0.78  % (5952)Instruction limit reached!
% 0.60/0.78  % (5952)------------------------------
% 0.60/0.78  % (5952)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (5952)Termination reason: Unknown
% 0.60/0.78  % (5952)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (5952)Memory used [KB]: 1503
% 0.60/0.78  % (5952)Time elapsed: 0.021 s
% 0.60/0.78  % (5952)Instructions burned: 34 (million)
% 0.60/0.78  % (5952)------------------------------
% 0.60/0.78  % (5952)------------------------------
% 0.60/0.78  % (5948)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5938"
% 0.60/0.78  % (5957)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.78  % (5948)Refutation found. Thanks to Tanya!
% 0.60/0.78  % SZS status Theorem for Vampire---4
% 0.60/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.78  % (5948)------------------------------
% 0.60/0.78  % (5948)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (5948)Termination reason: Refutation
% 0.60/0.78  
% 0.60/0.78  % (5948)Memory used [KB]: 1402
% 0.60/0.78  % (5948)Time elapsed: 0.024 s
% 0.60/0.78  % (5948)Instructions burned: 41 (million)
% 0.60/0.78  % (5938)Success in time 0.412 s
% 0.60/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------