TSTP Solution File: SWV467+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV467+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n007.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 10:59:10 EDT 2024

% Result   : Theorem 3.69s 0.91s
% Output   : Refutation 3.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   43
% Syntax   : Number of formulae    :  212 (  35 unt;   0 def)
%            Number of atoms       : 1534 ( 583 equ)
%            Maximal formula atoms :  196 (   7 avg)
%            Number of connectives : 2177 ( 855   ~; 666   |; 523   &)
%                                         (  40 <=>;  93  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   39 (   6 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   34 (  32 usr;  27 prp; 0-2 aty)
%            Number of functors    :   33 (  33 usr;  22 con; 0-2 aty)
%            Number of variables   :  661 ( 599   !;  62   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f19720,plain,
    $false,
    inference(avatar_sat_refutation,[],[f368,f592,f1304,f1317,f1755,f1760,f2044,f2067,f2108,f2121,f4978,f5679,f6344,f7163,f8225,f8436,f8824,f19712,f19717,f19719]) ).

fof(f19719,plain,
    ~ spl14_10,
    inference(avatar_contradiction_clause,[],[f19718]) ).

fof(f19718,plain,
    ( $false
    | ~ spl14_10 ),
    inference(trivial_inequality_removal,[],[f19714]) ).

fof(f19714,plain,
    ( nbr_proc != nbr_proc
    | ~ spl14_10 ),
    inference(superposition,[],[f1754,f796]) ).

fof(f796,plain,
    nbr_proc = host(sK3),
    inference(subsumption_resolution,[],[f790,f235]) ).

fof(f235,plain,
    ! [X0] : leq(host(X0),nbr_proc),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0] : leq(host(X0),nbr_proc),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X2] : leq(host(X2),nbr_proc),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_04) ).

fof(f790,plain,
    ( nbr_proc = host(sK3)
    | ~ leq(host(sK3),nbr_proc) ),
    inference(resolution,[],[f302,f209]) ).

fof(f209,plain,
    leq(nbr_proc,host(sK3)),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ( host(sK3) = host(sK6)
    & setIn(sK6,alive)
    & host(sK8) = s(index(pendack,host(sK9)))
    & index(pendack,host(sK9)) = host(sK7)
    & elec_2 = index(status,host(sK9))
    & leq(nbr_proc,s(index(pendack,host(sK9))))
    & elem(m_Ack(sK9,sK7),queue(host(sK9)))
    & elem(m_Down(sK8),queue(host(sK9)))
    & setIn(sK9,alive)
    & host(sK3) != host(sK9)
    & host(sK3) = host(sK6)
    & ~ setIn(host(sK5),setEmpty)
    & leq(nbr_proc,host(sK3))
    & elec_1 = index(status,host(sK3))
    & ! [X8] :
        ( host(sK4) = X8
        | setIn(X8,index(down,host(sK3)))
        | ~ leq(s(zero),X8)
        | leq(host(sK3),X8) )
    & ( host(sK4) != host(index(elid,host(sK3)))
      | wait != index(status,host(sK3)) )
    & ( norm != index(status,host(sK3))
      | host(sK4) != index(ldr,host(sK3)) )
    & ~ leq(host(sK3),host(sK4))
    & setIn(sK3,alive)
    & queue(host(sK3)) = cons(m_Down(sK4),sK2)
    & ! [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) != sK10(X15,X16)
          & ~ setIn(sK10(X15,X16),index(down,host(X16)))
          & leq(s(zero),sK10(X15,X16))
          & ~ leq(host(X16),sK10(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,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f146,f151,f150,f149,f148,f147]) ).

fof(f147,plain,
    ( ? [X0,X1,X2] :
        ( ? [X3] :
            ( ? [X4] :
                ( ? [X5,X6,X7] :
                    ( host(X1) = 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)
                    & host(X1) != host(X7) )
                & host(X1) = host(X4) )
            & ~ setIn(host(X3),setEmpty) )
        & leq(nbr_proc,host(X1))
        & elec_1 = index(status,host(X1))
        & ! [X8] :
            ( host(X2) = X8
            | setIn(X8,index(down,host(X1)))
            | ~ leq(s(zero),X8)
            | leq(host(X1),X8) )
        & ( host(X2) != host(index(elid,host(X1)))
          | wait != index(status,host(X1)) )
        & ( norm != index(status,host(X1))
          | host(X2) != index(ldr,host(X1)) )
        & ~ leq(host(X1),host(X2))
        & setIn(X1,alive)
        & queue(host(X1)) = cons(m_Down(X2),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))) ) )
   => ( ? [X3] :
          ( ? [X4] :
              ( ? [X7,X6,X5] :
                  ( host(X4) = host(sK3)
                  & 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)
                  & host(X7) != host(sK3) )
              & host(X4) = host(sK3) )
          & ~ setIn(host(X3),setEmpty) )
      & leq(nbr_proc,host(sK3))
      & elec_1 = index(status,host(sK3))
      & ! [X8] :
          ( host(sK4) = X8
          | setIn(X8,index(down,host(sK3)))
          | ~ leq(s(zero),X8)
          | leq(host(sK3),X8) )
      & ( host(sK4) != host(index(elid,host(sK3)))
        | wait != index(status,host(sK3)) )
      & ( norm != index(status,host(sK3))
        | host(sK4) != index(ldr,host(sK3)) )
      & ~ leq(host(sK3),host(sK4))
      & setIn(sK3,alive)
      & queue(host(sK3)) = cons(m_Down(sK4),sK2)
      & ! [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,[]) ).

fof(f148,plain,
    ( ? [X3] :
        ( ? [X4] :
            ( ? [X7,X6,X5] :
                ( host(X4) = host(sK3)
                & 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)
                & host(X7) != host(sK3) )
            & host(X4) = host(sK3) )
        & ~ setIn(host(X3),setEmpty) )
   => ( ? [X4] :
          ( ? [X7,X6,X5] :
              ( host(X4) = host(sK3)
              & 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)
              & host(X7) != host(sK3) )
          & host(X4) = host(sK3) )
      & ~ setIn(host(sK5),setEmpty) ) ),
    introduced(choice_axiom,[]) ).

fof(f149,plain,
    ( ? [X4] :
        ( ? [X7,X6,X5] :
            ( host(X4) = host(sK3)
            & 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)
            & host(X7) != host(sK3) )
        & host(X4) = host(sK3) )
   => ( ? [X7,X6,X5] :
          ( host(sK3) = host(sK6)
          & setIn(sK6,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)
          & host(X7) != host(sK3) )
      & host(sK3) = host(sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f150,plain,
    ( ? [X7,X6,X5] :
        ( host(sK3) = host(sK6)
        & setIn(sK6,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)
        & host(X7) != host(sK3) )
   => ( host(sK3) = host(sK6)
      & setIn(sK6,alive)
      & host(sK8) = s(index(pendack,host(sK9)))
      & index(pendack,host(sK9)) = host(sK7)
      & elec_2 = index(status,host(sK9))
      & leq(nbr_proc,s(index(pendack,host(sK9))))
      & elem(m_Ack(sK9,sK7),queue(host(sK9)))
      & elem(m_Down(sK8),queue(host(sK9)))
      & setIn(sK9,alive)
      & host(sK3) != host(sK9) ) ),
    introduced(choice_axiom,[]) ).

fof(f151,plain,
    ! [X15,X16] :
      ( ? [X17] :
          ( host(X15) != X17
          & ~ setIn(X17,index(down,host(X16)))
          & leq(s(zero),X17)
          & ~ leq(host(X16),X17) )
     => ( host(X15) != sK10(X15,X16)
        & ~ setIn(sK10(X15,X16),index(down,host(X16)))
        & leq(s(zero),sK10(X15,X16))
        & ~ leq(host(X16),sK10(X15,X16)) ) ),
    introduced(choice_axiom,[]) ).

fof(f146,plain,
    ? [X0,X1,X2] :
      ( ? [X3] :
          ( ? [X4] :
              ( ? [X5,X6,X7] :
                  ( host(X1) = 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)
                  & host(X1) != host(X7) )
              & host(X1) = host(X4) )
          & ~ setIn(host(X3),setEmpty) )
      & leq(nbr_proc,host(X1))
      & elec_1 = index(status,host(X1))
      & ! [X8] :
          ( host(X2) = X8
          | setIn(X8,index(down,host(X1)))
          | ~ leq(s(zero),X8)
          | leq(host(X1),X8) )
      & ( host(X2) != host(index(elid,host(X1)))
        | wait != index(status,host(X1)) )
      & ( norm != index(status,host(X1))
        | host(X2) != index(ldr,host(X1)) )
      & ~ leq(host(X1),host(X2))
      & setIn(X1,alive)
      & queue(host(X1)) = cons(m_Down(X2),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,[],[f126]) ).

fof(f126,plain,
    ? [X0,X2,X3] :
      ( ? [X43] :
          ( ? [X44] :
              ( ? [X45,X46,X47] :
                  ( host(X2) = host(X44)
                  & setIn(X44,alive)
                  & s(index(pendack,host(X47))) = host(X46)
                  & index(pendack,host(X47)) = host(X45)
                  & elec_2 = index(status,host(X47))
                  & leq(nbr_proc,s(index(pendack,host(X47))))
                  & elem(m_Ack(X47,X45),queue(host(X47)))
                  & elem(m_Down(X46),queue(host(X47)))
                  & setIn(X47,alive)
                  & host(X2) != host(X47) )
              & host(X2) = host(X44) )
          & ~ setIn(host(X43),setEmpty) )
      & leq(nbr_proc,host(X2))
      & elec_1 = index(status,host(X2))
      & ! [X42] :
          ( host(X3) = X42
          | setIn(X42,index(down,host(X2)))
          | ~ leq(s(zero),X42)
          | leq(host(X2),X42) )
      & ( host(X3) != host(index(elid,host(X2)))
        | wait != index(status,host(X2)) )
      & ( norm != index(status,host(X2))
        | host(X3) != index(ldr,host(X2)) )
      & ~ leq(host(X2),host(X3))
      & setIn(X2,alive)
      & queue(host(X2)) = cons(m_Down(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,[],[f125]) ).

fof(f125,plain,
    ? [X0,X2,X3] :
      ( ? [X43] :
          ( ? [X44] :
              ( ? [X45,X46,X47] :
                  ( host(X2) = host(X44)
                  & setIn(X44,alive)
                  & s(index(pendack,host(X47))) = host(X46)
                  & index(pendack,host(X47)) = host(X45)
                  & elec_2 = index(status,host(X47))
                  & leq(nbr_proc,s(index(pendack,host(X47))))
                  & elem(m_Ack(X47,X45),queue(host(X47)))
                  & elem(m_Down(X46),queue(host(X47)))
                  & setIn(X47,alive)
                  & host(X2) != host(X47) )
              & host(X2) = host(X44) )
          & ~ setIn(host(X43),setEmpty) )
      & leq(nbr_proc,host(X2))
      & elec_1 = index(status,host(X2))
      & ! [X42] :
          ( host(X3) = X42
          | setIn(X42,index(down,host(X2)))
          | ~ leq(s(zero),X42)
          | leq(host(X2),X42) )
      & ( host(X3) != host(index(elid,host(X2)))
        | wait != index(status,host(X2)) )
      & ( norm != index(status,host(X2))
        | host(X3) != index(ldr,host(X2)) )
      & ~ leq(host(X2),host(X3))
      & setIn(X2,alive)
      & queue(host(X2)) = cons(m_Down(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]) ).

fof(f69,plain,
    ~ ! [X0,X2,X3] :
        ( ( queue(host(X2)) = cons(m_Down(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)
         => ( ~ leq(host(X2),host(X3))
           => ( ~ ( ( host(X3) = host(index(elid,host(X2)))
                    & wait = index(status,host(X2)) )
                  | ( norm = index(status,host(X2))
                    & host(X3) = index(ldr,host(X2)) ) )
             => ( ( elec_1 = index(status,host(X2))
                  & ! [X42] :
                      ( ( leq(s(zero),X42)
                        & ~ leq(host(X2),X42) )
                     => ( host(X3) = X42
                        | setIn(X42,index(down,host(X2))) ) ) )
               => ( leq(nbr_proc,host(X2))
                 => ! [X43] :
                      ( ~ setIn(host(X43),setEmpty)
                     => ! [X44] :
                          ( host(X2) = host(X44)
                         => ! [X45,X46,X47] :
                              ( host(X2) != host(X47)
                             => ( ( s(index(pendack,host(X47))) = host(X46)
                                  & index(pendack,host(X47)) = host(X45)
                                  & elec_2 = index(status,host(X47))
                                  & leq(nbr_proc,s(index(pendack,host(X47))))
                                  & elem(m_Ack(X47,X45),queue(host(X47)))
                                  & elem(m_Down(X46),queue(host(X47)))
                                  & setIn(X47,alive) )
                               => ~ ( host(X2) = host(X44)
                                    & setIn(X44,alive) ) ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f68]) ).

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

fof(f67,conjecture,
    ! [X11,X12,X4,X5] :
      ( ( queue(host(X4)) = cons(m_Down(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)
       => ( ~ leq(host(X4),host(X5))
         => ( ~ ( ( host(X5) = host(index(elid,host(X4)))
                  & wait = index(status,host(X4)) )
                | ( norm = index(status,host(X4))
                  & host(X5) = index(ldr,host(X4)) ) )
           => ( ( elec_1 = index(status,host(X4))
                & ! [X6] :
                    ( ( leq(s(zero),X6)
                      & ~ leq(host(X4),X6) )
                   => ( host(X5) = X6
                      | setIn(X6,index(down,host(X4))) ) ) )
             => ( leq(nbr_proc,host(X4))
               => ! [X6] :
                    ( ~ setIn(host(X6),setEmpty)
                   => ! [X16] :
                        ( host(X4) = host(X16)
                       => ! [X17,X18,X19] :
                            ( host(X4) != host(X19)
                           => ( ( s(index(pendack,host(X19))) = host(X18)
                                & index(pendack,host(X19)) = host(X17)
                                & elec_2 = index(status,host(X19))
                                & leq(nbr_proc,s(index(pendack,host(X19))))
                                & elem(m_Ack(X19,X17),queue(host(X19)))
                                & elem(m_Down(X18),queue(host(X19)))
                                & setIn(X19,alive) )
                             => ~ ( host(X4) = host(X16)
                                  & setIn(X16,alive) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

fof(f302,plain,
    ! [X0,X1] :
      ( ~ leq(X1,X0)
      | X0 = X1
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f178,plain,
    ! [X0,X1] :
      ( ( ( leq(X1,X0)
          & leq(X0,X1) )
        | X0 != X1 )
      & ( X0 = X1
        | ~ leq(X1,X0)
        | ~ leq(X0,X1) ) ),
    inference(flattening,[],[f177]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( ( ( leq(X1,X0)
          & leq(X0,X1) )
        | X0 != X1 )
      & ( X0 = X1
        | ~ leq(X1,X0)
        | ~ leq(X0,X1) ) ),
    inference(nnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ( leq(X1,X0)
        & leq(X0,X1) )
    <=> X0 = X1 ),
    inference(rectify,[],[f62]) ).

fof(f62,axiom,
    ! [X4,X5] :
      ( ( leq(X5,X4)
        & leq(X4,X5) )
    <=> X4 = X5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).

fof(f1754,plain,
    ( ! [X0] : host(X0) != nbr_proc
    | ~ spl14_10 ),
    inference(avatar_component_clause,[],[f1753]) ).

fof(f1753,plain,
    ( spl14_10
  <=> ! [X0] : host(X0) != nbr_proc ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).

fof(f19717,plain,
    ~ spl14_10,
    inference(avatar_contradiction_clause,[],[f19716]) ).

fof(f19716,plain,
    ( $false
    | ~ spl14_10 ),
    inference(trivial_inequality_removal,[],[f19715]) ).

fof(f19715,plain,
    ( nbr_proc != nbr_proc
    | ~ spl14_10 ),
    inference(superposition,[],[f1754,f802]) ).

fof(f802,plain,
    nbr_proc = host(sK8),
    inference(subsumption_resolution,[],[f801,f235]) ).

fof(f801,plain,
    ( ~ leq(host(sK8),nbr_proc)
    | nbr_proc = host(sK8) ),
    inference(forward_demodulation,[],[f800,f354]) ).

fof(f354,plain,
    host(sK8) = s(host(sK7)),
    inference(forward_demodulation,[],[f219,f218]) ).

fof(f218,plain,
    index(pendack,host(sK9)) = host(sK7),
    inference(cnf_transformation,[],[f152]) ).

fof(f219,plain,
    host(sK8) = s(index(pendack,host(sK9))),
    inference(cnf_transformation,[],[f152]) ).

fof(f800,plain,
    ( ~ leq(s(host(sK7)),nbr_proc)
    | nbr_proc = host(sK8) ),
    inference(forward_demodulation,[],[f799,f218]) ).

fof(f799,plain,
    ( nbr_proc = host(sK8)
    | ~ leq(s(index(pendack,host(sK9))),nbr_proc) ),
    inference(forward_demodulation,[],[f798,f354]) ).

fof(f798,plain,
    ( nbr_proc = s(host(sK7))
    | ~ leq(s(index(pendack,host(sK9))),nbr_proc) ),
    inference(forward_demodulation,[],[f792,f218]) ).

fof(f792,plain,
    ( nbr_proc = s(index(pendack,host(sK9)))
    | ~ leq(s(index(pendack,host(sK9))),nbr_proc) ),
    inference(resolution,[],[f302,f216]) ).

fof(f216,plain,
    leq(nbr_proc,s(index(pendack,host(sK9)))),
    inference(cnf_transformation,[],[f152]) ).

fof(f19712,plain,
    ( spl14_10
    | ~ spl14_18
    | ~ spl14_20
    | ~ spl14_21
    | ~ spl14_22 ),
    inference(avatar_split_clause,[],[f19711,f8223,f7161,f5677,f4973,f1753]) ).

fof(f4973,plain,
    ( spl14_18
  <=> ! [X16,X15] :
        ( nbr_proc != host(X16)
        | ~ elem(m_Down(X15),queue(nbr_proc))
        | ~ leq(nbr_proc,sK10(X15,X16)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_18])]) ).

fof(f5677,plain,
    ( spl14_20
  <=> ! [X16,X15] :
        ( nbr_proc != host(X16)
        | ~ elem(m_Down(X15),queue(nbr_proc))
        | host(X15) != sK10(X15,X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_20])]) ).

fof(f7161,plain,
    ( spl14_21
  <=> ! [X16,X15] :
        ( nbr_proc != host(X16)
        | ~ elem(m_Down(X15),queue(nbr_proc))
        | leq(s(zero),sK10(X15,X16)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_21])]) ).

fof(f8223,plain,
    ( spl14_22
  <=> ! [X16,X15] :
        ( nbr_proc != host(X16)
        | ~ elem(m_Down(X15),queue(nbr_proc))
        | ~ setIn(sK10(X15,X16),index(down,nbr_proc)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_22])]) ).

fof(f19711,plain,
    ( ! [X0] : host(X0) != nbr_proc
    | ~ spl14_18
    | ~ spl14_20
    | ~ spl14_21
    | ~ spl14_22 ),
    inference(subsumption_resolution,[],[f19706,f812]) ).

fof(f812,plain,
    elem(m_Down(sK4),queue(nbr_proc)),
    inference(superposition,[],[f352,f796]) ).

fof(f352,plain,
    elem(m_Down(sK4),queue(host(sK3))),
    inference(superposition,[],[f334,f202]) ).

fof(f202,plain,
    queue(host(sK3)) = cons(m_Down(sK4),sK2),
    inference(cnf_transformation,[],[f152]) ).

fof(f334,plain,
    ! [X2,X1] : elem(X1,cons(X1,X2)),
    inference(equality_resolution,[],[f318]) ).

fof(f318,plain,
    ! [X2,X0,X1] :
      ( elem(X0,cons(X1,X2))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f182]) ).

fof(f182,plain,
    ! [X0,X1,X2] :
      ( ( elem(X0,cons(X1,X2))
        | ( ~ elem(X0,X2)
          & X0 != X1 ) )
      & ( elem(X0,X2)
        | X0 = X1
        | ~ elem(X0,cons(X1,X2)) ) ),
    inference(flattening,[],[f181]) ).

fof(f181,plain,
    ! [X0,X1,X2] :
      ( ( elem(X0,cons(X1,X2))
        | ( ~ elem(X0,X2)
          & X0 != X1 ) )
      & ( elem(X0,X2)
        | X0 = X1
        | ~ elem(X0,cons(X1,X2)) ) ),
    inference(nnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0,X1,X2] :
      ( elem(X0,cons(X1,X2))
    <=> ( elem(X0,X2)
        | X0 = X1 ) ),
    inference(rectify,[],[f47]) ).

fof(f47,axiom,
    ! [X4,X5,X3] :
      ( elem(X4,cons(X5,X3))
    <=> ( elem(X4,X3)
        | X4 = X5 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).

fof(f19706,plain,
    ( ! [X0] :
        ( ~ elem(m_Down(sK4),queue(nbr_proc))
        | host(X0) != nbr_proc )
    | ~ spl14_18
    | ~ spl14_20
    | ~ spl14_21
    | ~ spl14_22 ),
    inference(trivial_inequality_removal,[],[f19705]) ).

fof(f19705,plain,
    ( ! [X0] :
        ( host(sK4) != host(sK4)
        | ~ elem(m_Down(sK4),queue(nbr_proc))
        | host(X0) != nbr_proc )
    | ~ spl14_18
    | ~ spl14_20
    | ~ spl14_21
    | ~ spl14_22 ),
    inference(duplicate_literal_removal,[],[f19702]) ).

fof(f19702,plain,
    ( ! [X0] :
        ( host(sK4) != host(sK4)
        | ~ elem(m_Down(sK4),queue(nbr_proc))
        | host(X0) != nbr_proc
        | host(X0) != nbr_proc )
    | ~ spl14_18
    | ~ spl14_20
    | ~ spl14_21
    | ~ spl14_22 ),
    inference(superposition,[],[f5678,f19695]) ).

fof(f19695,plain,
    ( ! [X0] :
        ( host(sK4) = sK10(sK4,X0)
        | host(X0) != nbr_proc )
    | ~ spl14_18
    | ~ spl14_21
    | ~ spl14_22 ),
    inference(resolution,[],[f8330,f812]) ).

fof(f8330,plain,
    ( ! [X0,X1] :
        ( ~ elem(m_Down(X0),queue(nbr_proc))
        | nbr_proc != host(X1)
        | host(sK4) = sK10(X0,X1) )
    | ~ spl14_18
    | ~ spl14_21
    | ~ spl14_22 ),
    inference(subsumption_resolution,[],[f8329,f7162]) ).

fof(f7162,plain,
    ( ! [X16,X15] :
        ( leq(s(zero),sK10(X15,X16))
        | ~ elem(m_Down(X15),queue(nbr_proc))
        | nbr_proc != host(X16) )
    | ~ spl14_21 ),
    inference(avatar_component_clause,[],[f7161]) ).

fof(f8329,plain,
    ( ! [X0,X1] :
        ( ~ elem(m_Down(X0),queue(nbr_proc))
        | nbr_proc != host(X1)
        | host(sK4) = sK10(X0,X1)
        | ~ leq(s(zero),sK10(X0,X1)) )
    | ~ spl14_18
    | ~ spl14_22 ),
    inference(subsumption_resolution,[],[f8328,f4974]) ).

fof(f4974,plain,
    ( ! [X16,X15] :
        ( ~ leq(nbr_proc,sK10(X15,X16))
        | ~ elem(m_Down(X15),queue(nbr_proc))
        | nbr_proc != host(X16) )
    | ~ spl14_18 ),
    inference(avatar_component_clause,[],[f4973]) ).

fof(f8328,plain,
    ( ! [X0,X1] :
        ( ~ elem(m_Down(X0),queue(nbr_proc))
        | nbr_proc != host(X1)
        | leq(nbr_proc,sK10(X0,X1))
        | host(sK4) = sK10(X0,X1)
        | ~ leq(s(zero),sK10(X0,X1)) )
    | ~ spl14_22 ),
    inference(resolution,[],[f8224,f2663]) ).

fof(f2663,plain,
    ! [X8] :
      ( setIn(X8,index(down,nbr_proc))
      | leq(nbr_proc,X8)
      | host(sK4) = X8
      | ~ leq(s(zero),X8) ),
    inference(forward_demodulation,[],[f2662,f796]) ).

fof(f2662,plain,
    ! [X8] :
      ( setIn(X8,index(down,nbr_proc))
      | host(sK4) = X8
      | ~ leq(s(zero),X8)
      | leq(host(sK3),X8) ),
    inference(forward_demodulation,[],[f207,f796]) ).

fof(f207,plain,
    ! [X8] :
      ( host(sK4) = X8
      | setIn(X8,index(down,host(sK3)))
      | ~ leq(s(zero),X8)
      | leq(host(sK3),X8) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f8224,plain,
    ( ! [X16,X15] :
        ( ~ setIn(sK10(X15,X16),index(down,nbr_proc))
        | ~ elem(m_Down(X15),queue(nbr_proc))
        | nbr_proc != host(X16) )
    | ~ spl14_22 ),
    inference(avatar_component_clause,[],[f8223]) ).

fof(f5678,plain,
    ( ! [X16,X15] :
        ( host(X15) != sK10(X15,X16)
        | ~ elem(m_Down(X15),queue(nbr_proc))
        | nbr_proc != host(X16) )
    | ~ spl14_20 ),
    inference(avatar_component_clause,[],[f5677]) ).

fof(f8824,plain,
    ( ~ spl14_25
    | spl14_26 ),
    inference(avatar_split_clause,[],[f8699,f8822,f8818]) ).

fof(f8818,plain,
    ( spl14_25
  <=> leq(nbr_proc,s(s(zero))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_25])]) ).

fof(f8822,plain,
    ( spl14_26
  <=> ! [X0] : leq(host(sK7),host(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_26])]) ).

fof(f8699,plain,
    ! [X0] :
      ( leq(host(sK7),host(X0))
      | ~ leq(nbr_proc,s(s(zero))) ),
    inference(resolution,[],[f932,f853]) ).

fof(f853,plain,
    ! [X0] :
      ( leq(host(sK7),X0)
      | ~ leq(nbr_proc,s(X0)) ),
    inference(superposition,[],[f438,f802]) ).

fof(f438,plain,
    ! [X0] :
      ( ~ leq(host(sK8),s(X0))
      | leq(host(sK7),X0) ),
    inference(superposition,[],[f280,f354]) ).

fof(f280,plain,
    ! [X0,X1] :
      ( ~ leq(s(X0),s(X1))
      | leq(X0,X1) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( ( leq(X0,X1)
        | ~ leq(s(X0),s(X1)) )
      & ( leq(s(X0),s(X1))
        | ~ leq(X0,X1) ) ),
    inference(nnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
    <=> leq(s(X0),s(X1)) ),
    inference(rectify,[],[f64]) ).

fof(f64,axiom,
    ! [X4,X5] :
      ( leq(X4,X5)
    <=> leq(s(X4),s(X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_63) ).

fof(f932,plain,
    ! [X0,X1] :
      ( ~ leq(X0,s(zero))
      | leq(X0,host(X1)) ),
    inference(resolution,[],[f312,f238]) ).

fof(f238,plain,
    ! [X0] : leq(s(zero),host(X0)),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0] : leq(s(zero),host(X0)),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X2] : leq(s(zero),host(X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_02) ).

fof(f312,plain,
    ! [X2,X0,X1] :
      ( ~ leq(X1,X2)
      | leq(X0,X2)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(flattening,[],[f136]) ).

fof(f136,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(ennf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0,X1,X2] :
      ( ( leq(X1,X2)
        & leq(X0,X1) )
     => leq(X0,X2) ),
    inference(rectify,[],[f63]) ).

fof(f63,axiom,
    ! [X4,X5,X6] :
      ( ( leq(X5,X6)
        & leq(X4,X5) )
     => leq(X4,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).

fof(f8436,plain,
    ( spl14_23
    | spl14_24 ),
    inference(avatar_split_clause,[],[f201,f8434,f8431]) ).

fof(f8431,plain,
    ( spl14_23
  <=> ! [X11,X12,X10] :
        ( 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))))
        | elec_2 != index(status,host(X12))
        | host(X10) != index(pendack,host(X12)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_23])]) ).

fof(f8434,plain,
    ( spl14_24
  <=> ! [X9] :
        ( norm != index(status,host(X9))
        | ~ setIn(X9,alive)
        | host(X9) != index(ldr,host(X9)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_24])]) ).

fof(f201,plain,
    ! [X10,X11,X9,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) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f8225,plain,
    ( spl14_22
    | spl14_19 ),
    inference(avatar_split_clause,[],[f7473,f4976,f8223]) ).

fof(f4976,plain,
    ( spl14_19
  <=> ! [X13,X14] :
        ( ~ elem(m_Down(X14),queue(host(X13)))
        | nbr_proc != host(X14)
        | ~ setIn(X13,alive) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_19])]) ).

fof(f7473,plain,
    ! [X16,X14,X15,X13] :
      ( ~ elem(m_Down(X14),queue(host(X13)))
      | ~ setIn(X13,alive)
      | nbr_proc != host(X14)
      | nbr_proc != host(X16)
      | ~ elem(m_Down(X15),queue(nbr_proc))
      | ~ setIn(sK10(X15,X16),index(down,nbr_proc)) ),
    inference(subsumption_resolution,[],[f336,f807]) ).

fof(f807,plain,
    elec_1 = index(status,nbr_proc),
    inference(superposition,[],[f208,f796]) ).

fof(f208,plain,
    elec_1 = index(status,host(sK3)),
    inference(cnf_transformation,[],[f152]) ).

fof(f336,plain,
    ! [X16,X14,X15,X13] :
      ( ~ elem(m_Down(X14),queue(host(X13)))
      | ~ setIn(X13,alive)
      | elec_1 != index(status,nbr_proc)
      | nbr_proc != host(X14)
      | nbr_proc != host(X16)
      | ~ elem(m_Down(X15),queue(nbr_proc))
      | ~ setIn(sK10(X15,X16),index(down,nbr_proc)) ),
    inference(inner_rewriting,[],[f199]) ).

fof(f199,plain,
    ! [X16,X14,X15,X13] :
      ( ~ 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)))
      | ~ setIn(sK10(X15,X16),index(down,host(X16))) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f7163,plain,
    ( spl14_21
    | spl14_19 ),
    inference(avatar_split_clause,[],[f6805,f4976,f7161]) ).

fof(f6805,plain,
    ! [X16,X14,X15,X13] :
      ( ~ elem(m_Down(X14),queue(host(X13)))
      | ~ setIn(X13,alive)
      | nbr_proc != host(X14)
      | nbr_proc != host(X16)
      | ~ elem(m_Down(X15),queue(nbr_proc))
      | leq(s(zero),sK10(X15,X16)) ),
    inference(subsumption_resolution,[],[f337,f807]) ).

fof(f337,plain,
    ! [X16,X14,X15,X13] :
      ( ~ elem(m_Down(X14),queue(host(X13)))
      | ~ setIn(X13,alive)
      | elec_1 != index(status,nbr_proc)
      | nbr_proc != host(X14)
      | nbr_proc != host(X16)
      | ~ elem(m_Down(X15),queue(nbr_proc))
      | leq(s(zero),sK10(X15,X16)) ),
    inference(inner_rewriting,[],[f198]) ).

fof(f198,plain,
    ! [X16,X14,X15,X13] :
      ( ~ 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)))
      | leq(s(zero),sK10(X15,X16)) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f6344,plain,
    ~ spl14_19,
    inference(avatar_contradiction_clause,[],[f6343]) ).

fof(f6343,plain,
    ( $false
    | ~ spl14_19 ),
    inference(subsumption_resolution,[],[f6342,f213]) ).

fof(f213,plain,
    setIn(sK9,alive),
    inference(cnf_transformation,[],[f152]) ).

fof(f6342,plain,
    ( ~ setIn(sK9,alive)
    | ~ spl14_19 ),
    inference(subsumption_resolution,[],[f6335,f802]) ).

fof(f6335,plain,
    ( nbr_proc != host(sK8)
    | ~ setIn(sK9,alive)
    | ~ spl14_19 ),
    inference(resolution,[],[f4977,f214]) ).

fof(f214,plain,
    elem(m_Down(sK8),queue(host(sK9))),
    inference(cnf_transformation,[],[f152]) ).

fof(f4977,plain,
    ( ! [X14,X13] :
        ( ~ elem(m_Down(X14),queue(host(X13)))
        | nbr_proc != host(X14)
        | ~ setIn(X13,alive) )
    | ~ spl14_19 ),
    inference(avatar_component_clause,[],[f4976]) ).

fof(f5679,plain,
    ( spl14_20
    | spl14_19 ),
    inference(avatar_split_clause,[],[f5395,f4976,f5677]) ).

fof(f5395,plain,
    ! [X16,X14,X15,X13] :
      ( ~ elem(m_Down(X14),queue(host(X13)))
      | ~ setIn(X13,alive)
      | nbr_proc != host(X14)
      | nbr_proc != host(X16)
      | ~ elem(m_Down(X15),queue(nbr_proc))
      | host(X15) != sK10(X15,X16) ),
    inference(subsumption_resolution,[],[f335,f807]) ).

fof(f335,plain,
    ! [X16,X14,X15,X13] :
      ( ~ elem(m_Down(X14),queue(host(X13)))
      | ~ setIn(X13,alive)
      | elec_1 != index(status,nbr_proc)
      | nbr_proc != host(X14)
      | nbr_proc != host(X16)
      | ~ elem(m_Down(X15),queue(nbr_proc))
      | host(X15) != sK10(X15,X16) ),
    inference(inner_rewriting,[],[f200]) ).

fof(f200,plain,
    ! [X16,X14,X15,X13] :
      ( ~ 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) != sK10(X15,X16) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f4978,plain,
    ( spl14_18
    | spl14_19 ),
    inference(avatar_split_clause,[],[f4477,f4976,f4973]) ).

fof(f4477,plain,
    ! [X16,X14,X15,X13] :
      ( ~ elem(m_Down(X14),queue(host(X13)))
      | ~ setIn(X13,alive)
      | nbr_proc != host(X14)
      | nbr_proc != host(X16)
      | ~ elem(m_Down(X15),queue(nbr_proc))
      | ~ leq(nbr_proc,sK10(X15,X16)) ),
    inference(subsumption_resolution,[],[f338,f807]) ).

fof(f338,plain,
    ! [X16,X14,X15,X13] :
      ( ~ elem(m_Down(X14),queue(host(X13)))
      | ~ setIn(X13,alive)
      | elec_1 != index(status,nbr_proc)
      | nbr_proc != host(X14)
      | nbr_proc != host(X16)
      | ~ elem(m_Down(X15),queue(nbr_proc))
      | ~ leq(nbr_proc,sK10(X15,X16)) ),
    inference(inner_rewriting,[],[f197]) ).

fof(f197,plain,
    ! [X16,X14,X15,X13] :
      ( ~ 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)))
      | ~ leq(host(X16),sK10(X15,X16)) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f2121,plain,
    ( ~ spl14_16
    | spl14_17 ),
    inference(avatar_split_clause,[],[f2112,f2118,f2114]) ).

fof(f2114,plain,
    ( spl14_16
  <=> setIn(sK8,alive) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_16])]) ).

fof(f2118,plain,
    ( spl14_17
  <=> sK3 = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_17])]) ).

fof(f2112,plain,
    ( sK3 = sK8
    | ~ setIn(sK8,alive) ),
    inference(forward_demodulation,[],[f2111,f2098]) ).

fof(f2098,plain,
    sK3 = sK6,
    inference(superposition,[],[f2097,f2090]) ).

fof(f2090,plain,
    sK6 = index(elid,nbr_proc),
    inference(forward_demodulation,[],[f2089,f796]) ).

fof(f2089,plain,
    index(elid,host(sK3)) = sK6,
    inference(forward_demodulation,[],[f2088,f211]) ).

fof(f211,plain,
    host(sK3) = host(sK6),
    inference(cnf_transformation,[],[f152]) ).

fof(f2088,plain,
    sK6 = index(elid,host(sK6)),
    inference(subsumption_resolution,[],[f2087,f220]) ).

fof(f220,plain,
    setIn(sK6,alive),
    inference(cnf_transformation,[],[f152]) ).

fof(f2087,plain,
    ( ~ setIn(sK6,alive)
    | sK6 = index(elid,host(sK6)) ),
    inference(subsumption_resolution,[],[f2081,f208]) ).

fof(f2081,plain,
    ( elec_1 != index(status,host(sK3))
    | ~ setIn(sK6,alive)
    | sK6 = index(elid,host(sK6)) ),
    inference(superposition,[],[f190,f211]) ).

fof(f190,plain,
    ! [X31] :
      ( elec_1 != index(status,host(X31))
      | ~ setIn(X31,alive)
      | index(elid,host(X31)) = X31 ),
    inference(cnf_transformation,[],[f152]) ).

fof(f2097,plain,
    sK3 = index(elid,nbr_proc),
    inference(forward_demodulation,[],[f2096,f796]) ).

fof(f2096,plain,
    sK3 = index(elid,host(sK3)),
    inference(subsumption_resolution,[],[f2086,f203]) ).

fof(f203,plain,
    setIn(sK3,alive),
    inference(cnf_transformation,[],[f152]) ).

fof(f2086,plain,
    ( ~ setIn(sK3,alive)
    | sK3 = index(elid,host(sK3)) ),
    inference(trivial_inequality_removal,[],[f2084]) ).

fof(f2084,plain,
    ( elec_1 != elec_1
    | ~ setIn(sK3,alive)
    | sK3 = index(elid,host(sK3)) ),
    inference(superposition,[],[f190,f208]) ).

fof(f2111,plain,
    ( sK6 = sK8
    | ~ setIn(sK8,alive) ),
    inference(forward_demodulation,[],[f2095,f2090]) ).

fof(f2095,plain,
    ( sK8 = index(elid,nbr_proc)
    | ~ setIn(sK8,alive) ),
    inference(forward_demodulation,[],[f2094,f802]) ).

fof(f2094,plain,
    ( ~ setIn(sK8,alive)
    | sK8 = index(elid,host(sK8)) ),
    inference(subsumption_resolution,[],[f2083,f807]) ).

fof(f2083,plain,
    ( elec_1 != index(status,nbr_proc)
    | ~ setIn(sK8,alive)
    | sK8 = index(elid,host(sK8)) ),
    inference(superposition,[],[f190,f802]) ).

fof(f2108,plain,
    ( spl14_6
    | ~ spl14_12 ),
    inference(avatar_contradiction_clause,[],[f2107]) ).

fof(f2107,plain,
    ( $false
    | spl14_6
    | ~ spl14_12 ),
    inference(subsumption_resolution,[],[f2105,f1302]) ).

fof(f1302,plain,
    ( ~ setIn(sK3,pids)
    | spl14_6 ),
    inference(avatar_component_clause,[],[f1301]) ).

fof(f1301,plain,
    ( spl14_6
  <=> setIn(sK3,pids) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).

fof(f2105,plain,
    ( setIn(sK3,pids)
    | ~ spl14_12 ),
    inference(superposition,[],[f2040,f2098]) ).

fof(f2040,plain,
    ( setIn(sK6,pids)
    | ~ spl14_12 ),
    inference(avatar_component_clause,[],[f2038]) ).

fof(f2038,plain,
    ( spl14_12
  <=> setIn(sK6,pids) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).

fof(f2067,plain,
    ( spl14_14
    | spl14_15 ),
    inference(avatar_split_clause,[],[f1167,f2065,f2061]) ).

fof(f2061,plain,
    ( spl14_14
  <=> setIn(sK8,pids) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_14])]) ).

fof(f2065,plain,
    ( spl14_15
  <=> ! [X0] : ~ elem(m_Ack(sK8,X0),queue(nbr_proc)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_15])]) ).

fof(f1167,plain,
    ! [X0] :
      ( ~ elem(m_Ack(sK8,X0),queue(nbr_proc))
      | setIn(sK8,pids) ),
    inference(superposition,[],[f267,f802]) ).

fof(f267,plain,
    ! [X0,X1] :
      ( ~ elem(m_Ack(X0,X1),queue(host(X0)))
      | setIn(X0,pids) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( ( setIn(X1,pids)
        & setIn(X0,pids) )
      | ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( elem(m_Ack(X0,X1),queue(host(X0)))
     => ( setIn(X1,pids)
        & setIn(X0,pids) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom) ).

fof(f2044,plain,
    ( spl14_12
    | spl14_13 ),
    inference(avatar_split_clause,[],[f1168,f2042,f2038]) ).

fof(f2042,plain,
    ( spl14_13
  <=> ! [X0] : ~ elem(m_Ack(sK6,X0),queue(nbr_proc)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).

fof(f1168,plain,
    ! [X0] :
      ( ~ elem(m_Ack(sK6,X0),queue(nbr_proc))
      | setIn(sK6,pids) ),
    inference(forward_demodulation,[],[f1165,f796]) ).

fof(f1165,plain,
    ! [X0] :
      ( ~ elem(m_Ack(sK6,X0),queue(host(sK3)))
      | setIn(sK6,pids) ),
    inference(superposition,[],[f267,f211]) ).

fof(f1760,plain,
    ( ~ spl14_11
    | spl14_10 ),
    inference(avatar_split_clause,[],[f1747,f1753,f1757]) ).

fof(f1757,plain,
    ( spl14_11
  <=> nbr_proc = host(sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).

fof(f1747,plain,
    ! [X0] :
      ( host(X0) != nbr_proc
      | nbr_proc != host(sK7) ),
    inference(inner_rewriting,[],[f1746]) ).

fof(f1746,plain,
    ! [X0] :
      ( host(X0) != nbr_proc
      | host(X0) != host(sK7) ),
    inference(forward_demodulation,[],[f1737,f802]) ).

fof(f1737,plain,
    ! [X0] :
      ( host(X0) != host(sK8)
      | host(X0) != host(sK7) ),
    inference(superposition,[],[f266,f354]) ).

fof(f266,plain,
    ! [X0,X1] :
      ( host(X1) != s(host(X0))
      | host(X0) != host(X1) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( host(X0) != host(X1)
      | host(X1) != s(host(X0)) ),
    inference(ennf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( host(X1) = s(host(X0))
     => host(X0) != host(X1) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2,X3] :
      ( s(host(X2)) = host(X3)
     => host(X2) != host(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_01) ).

fof(f1755,plain,
    ( ~ spl14_9
    | spl14_10 ),
    inference(avatar_split_clause,[],[f1741,f1753,f1749]) ).

fof(f1749,plain,
    ( spl14_9
  <=> nbr_proc = s(nbr_proc) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).

fof(f1741,plain,
    ! [X0] :
      ( host(X0) != nbr_proc
      | nbr_proc != s(nbr_proc) ),
    inference(inner_rewriting,[],[f1740]) ).

fof(f1740,plain,
    ! [X0] :
      ( host(X0) != nbr_proc
      | host(X0) != s(nbr_proc) ),
    inference(forward_demodulation,[],[f1739,f796]) ).

fof(f1739,plain,
    ! [X0] :
      ( host(X0) != host(sK3)
      | host(X0) != s(nbr_proc) ),
    inference(forward_demodulation,[],[f1738,f211]) ).

fof(f1738,plain,
    ! [X0] :
      ( host(X0) != s(nbr_proc)
      | host(X0) != host(sK6) ),
    inference(forward_demodulation,[],[f1734,f796]) ).

fof(f1734,plain,
    ! [X0] :
      ( host(X0) != s(host(sK3))
      | host(X0) != host(sK6) ),
    inference(superposition,[],[f266,f211]) ).

fof(f1317,plain,
    ( ~ spl14_7
    | spl14_8 ),
    inference(avatar_split_clause,[],[f785,f1314,f1310]) ).

fof(f1310,plain,
    ( spl14_7
  <=> leq(host(sK7),zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).

fof(f1314,plain,
    ( spl14_8
  <=> zero = host(sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).

fof(f785,plain,
    ( zero = host(sK7)
    | ~ leq(host(sK7),zero) ),
    inference(resolution,[],[f302,f467]) ).

fof(f467,plain,
    leq(zero,host(sK7)),
    inference(resolution,[],[f439,f238]) ).

fof(f439,plain,
    ! [X0] :
      ( ~ leq(s(X0),host(sK8))
      | leq(X0,host(sK7)) ),
    inference(superposition,[],[f280,f354]) ).

fof(f1304,plain,
    ( spl14_5
    | spl14_6 ),
    inference(avatar_split_clause,[],[f1164,f1301,f1298]) ).

fof(f1298,plain,
    ( spl14_5
  <=> ! [X0] : ~ elem(m_Ack(sK3,X0),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).

fof(f1164,plain,
    ! [X0] :
      ( setIn(sK3,pids)
      | ~ elem(m_Ack(sK3,X0),sK2) ),
    inference(resolution,[],[f267,f526]) ).

fof(f526,plain,
    ! [X0] :
      ( elem(X0,queue(host(sK3)))
      | ~ elem(X0,sK2) ),
    inference(superposition,[],[f319,f202]) ).

fof(f319,plain,
    ! [X2,X0,X1] :
      ( elem(X0,cons(X1,X2))
      | ~ elem(X0,X2) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f592,plain,
    ( ~ spl14_3
    | ~ spl14_4 ),
    inference(avatar_split_clause,[],[f569,f589,f585]) ).

fof(f585,plain,
    ( spl14_3
  <=> leq(host(sK3),host(sK7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).

fof(f589,plain,
    ( spl14_4
  <=> elem(m_Ldr(sK8),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).

fof(f569,plain,
    ( ~ elem(m_Ldr(sK8),sK2)
    | ~ leq(host(sK3),host(sK7)) ),
    inference(resolution,[],[f565,f384]) ).

fof(f384,plain,
    ! [X0] :
      ( leq(X0,host(sK8))
      | ~ leq(X0,host(sK7)) ),
    inference(superposition,[],[f301,f354]) ).

fof(f301,plain,
    ! [X0,X1] :
      ( leq(X0,s(X1))
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f176,plain,
    ! [X0,X1] :
      ( ( leq(X0,s(X1))
        | ( ~ leq(X0,X1)
          & s(X1) != X0 ) )
      & ( leq(X0,X1)
        | s(X1) = X0
        | ~ leq(X0,s(X1)) ) ),
    inference(flattening,[],[f175]) ).

fof(f175,plain,
    ! [X0,X1] :
      ( ( leq(X0,s(X1))
        | ( ~ leq(X0,X1)
          & s(X1) != X0 ) )
      & ( leq(X0,X1)
        | s(X1) = X0
        | ~ leq(X0,s(X1)) ) ),
    inference(nnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( leq(X0,s(X1))
    <=> ( leq(X0,X1)
        | s(X1) = X0 ) ),
    inference(rectify,[],[f65]) ).

fof(f65,axiom,
    ! [X4,X5] :
      ( leq(X4,s(X5))
    <=> ( leq(X4,X5)
        | s(X5) = X4 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).

fof(f565,plain,
    ! [X0] :
      ( ~ leq(host(sK3),host(X0))
      | ~ elem(m_Ldr(X0),sK2) ),
    inference(resolution,[],[f183,f526]) ).

fof(f183,plain,
    ! [X46,X45] :
      ( ~ elem(m_Ldr(X46),queue(host(X45)))
      | ~ leq(host(X45),host(X46)) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f368,plain,
    ( spl14_1
    | ~ spl14_2 ),
    inference(avatar_split_clause,[],[f349,f365,f361]) ).

fof(f361,plain,
    ( spl14_1
  <=> ordered(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).

fof(f365,plain,
    ( spl14_2
  <=> ordered(queue(host(sK3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).

fof(f349,plain,
    ( ~ ordered(queue(host(sK3)))
    | ordered(sK2) ),
    inference(superposition,[],[f287,f202]) ).

fof(f287,plain,
    ! [X0,X1] :
      ( ~ ordered(cons(X0,X1))
      | ordered(X1) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ( ordered(cons(X0,X1))
        | ~ sP0(X0,X1)
        | ~ ordered(X1) )
      & ( ( sP0(X0,X1)
          & ordered(X1) )
        | ~ ordered(cons(X0,X1)) ) ),
    inference(flattening,[],[f167]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( ( ordered(cons(X0,X1))
        | ~ sP0(X0,X1)
        | ~ ordered(X1) )
      & ( ( sP0(X0,X1)
          & ordered(X1) )
        | ~ ordered(cons(X0,X1)) ) ),
    inference(nnf_transformation,[],[f143]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ordered(cons(X0,X1))
    <=> ( sP0(X0,X1)
        & ordered(X1) ) ),
    inference(definition_folding,[],[f132,f142]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( sP0(X0,X1)
    <=> ! [X2] :
          ( leq(pidMsg(X0),pidMsg(X2))
          | host(pidMsg(X2)) != host(pidMsg(X0))
          | ~ pidElem(X2)
          | ~ pidElem(X0)
          | ~ elem(X2,X1) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( ordered(cons(X0,X1))
    <=> ( ! [X2] :
            ( leq(pidMsg(X0),pidMsg(X2))
            | host(pidMsg(X2)) != host(pidMsg(X0))
            | ~ pidElem(X2)
            | ~ pidElem(X0)
            | ~ elem(X2,X1) )
        & ordered(X1) ) ),
    inference(flattening,[],[f131]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( ordered(cons(X0,X1))
    <=> ( ! [X2] :
            ( leq(pidMsg(X0),pidMsg(X2))
            | host(pidMsg(X2)) != host(pidMsg(X0))
            | ~ pidElem(X2)
            | ~ pidElem(X0)
            | ~ elem(X2,X1) )
        & ordered(X1) ) ),
    inference(ennf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ordered(cons(X0,X1))
    <=> ( ! [X2] :
            ( ( host(pidMsg(X2)) = host(pidMsg(X0))
              & pidElem(X2)
              & pidElem(X0)
              & elem(X2,X1) )
           => leq(pidMsg(X0),pidMsg(X2)) )
        & ordered(X1) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,axiom,
    ! [X4,X3] :
      ( ordered(cons(X4,X3))
    <=> ( ! [X5] :
            ( ( host(pidMsg(X5)) = host(pidMsg(X4))
              & pidElem(X5)
              & pidElem(X4)
              & elem(X5,X3) )
           => leq(pidMsg(X4),pidMsg(X5)) )
        & ordered(X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_53) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWV467+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 21:05:53 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.13/0.36  % (20664)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38  % (20667)WARNING: value z3 for option sas not known
% 0.13/0.38  % (20672)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.38  % (20666)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38  % (20667)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38  % (20670)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.38  % (20668)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38  % (20671)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.38  % (20665)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.40  Detected minimum model sizes of [4]
% 0.13/0.40  Detected maximum model sizes of [max]
% 0.20/0.40  TRYING [4]
% 0.20/0.44  Detected minimum model sizes of [4]
% 0.20/0.44  Detected maximum model sizes of [max]
% 0.20/0.44  TRYING [4]
% 0.20/0.45  TRYING [5]
% 0.20/0.55  TRYING [6]
% 2.00/0.64  TRYING [5]
% 2.00/0.70  TRYING [7]
% 3.69/0.90  % (20667)First to succeed.
% 3.69/0.91  % (20667)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20664"
% 3.69/0.91  % (20667)Refutation found. Thanks to Tanya!
% 3.69/0.91  % SZS status Theorem for theBenchmark
% 3.69/0.91  % SZS output start Proof for theBenchmark
% See solution above
% 3.69/0.91  % (20667)------------------------------
% 3.69/0.91  % (20667)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.69/0.91  % (20667)Termination reason: Refutation
% 3.69/0.91  
% 3.69/0.91  % (20667)Memory used [KB]: 7721
% 3.69/0.91  % (20667)Time elapsed: 0.530 s
% 3.69/0.91  % (20667)Instructions burned: 1059 (million)
% 3.69/0.91  % (20664)Success in time 0.538 s
%------------------------------------------------------------------------------