TSTP Solution File: SWV481+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV481+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 : n008.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 10:59:49 EDT 2024

% Result   : Theorem 11.40s 1.99s
% Output   : Refutation 11.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   60
% Syntax   : Number of formulae    :  365 (  56 unt;   0 def)
%            Number of atoms       : 2452 ( 935 equ)
%            Maximal formula atoms :  262 (   6 avg)
%            Number of connectives : 3597 (1510   ~;1331   |; 609   &)
%                                         (  54 <=>;  93  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   38 (   6 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   48 (  46 usr;  41 prp; 0-2 aty)
%            Number of functors    :   32 (  32 usr;  21 con; 0-2 aty)
%            Number of variables   :  877 ( 823   !;  54   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f57531,plain,
    $false,
    inference(avatar_sat_refutation,[],[f369,f818,f953,f1447,f1828,f1836,f2792,f3490,f3498,f5211,f5374,f5390,f6362,f6447,f11070,f11114,f11116,f11118,f11120,f11122,f36911,f37456,f37489,f37498,f37626,f38270,f41345,f52152,f52678,f53335,f56373,f56422,f56425,f57384]) ).

fof(f57384,plain,
    ~ spl15_40,
    inference(avatar_contradiction_clause,[],[f57383]) ).

fof(f57383,plain,
    ( $false
    | ~ spl15_40 ),
    inference(subsumption_resolution,[],[f57382,f232]) ).

fof(f232,plain,
    elec_1 != norm,
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    elec_1 != norm,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_07) ).

fof(f57382,plain,
    ( elec_1 = norm
    | ~ spl15_40 ),
    inference(forward_demodulation,[],[f57215,f342]) ).

fof(f342,plain,
    elec_1 = index(status,host(sK3)),
    inference(forward_demodulation,[],[f222,f215]) ).

fof(f215,plain,
    host(sK3) = host(sK8),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ( norm = index(status,host(sK5))
    & host(sK5) = index(ldr,host(sK5))
    & setIn(sK5,alive)
    & elec_1 = index(status,host(sK8))
    & host(sK6) = s(host(sK8))
    & leq(nbr_proc,s(host(sK8)))
    & elem(m_Down(sK7),sK2)
    & elem(m_Down(sK6),sK2)
    & setIn(sK8,alive)
    & ! [X7] :
        ( host(sK7) = X7
        | host(sK4) = X7
        | setIn(X7,index(down,host(sK3)))
        | ~ leq(s(zero),X7)
        | leq(host(sK8),X7) )
    & host(sK3) = host(sK8)
    & ( elec_1 != index(status,host(sK3))
      | ( host(sK4) != sK9
        & ~ setIn(sK9,index(down,host(sK3)))
        & leq(s(zero),sK9)
        & ~ leq(host(sK3),sK9) ) )
    & ( 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)
        | elec_1 != index(status,host(X12))
        | host(X10) != s(host(X12))
        | ~ elem(m_Down(X10),queue(host(X12)))
        | ~ elem(m_Down(X11),queue(host(X12)))
        | ~ leq(nbr_proc,s(host(X12)))
        | ~ setIn(X12,alive)
        | ( host(X11) != sK10(X11,X12)
          & ~ setIn(sK10(X11,X12),index(down,host(X12)))
          & leq(s(zero),sK10(X11,X12))
          & ~ leq(host(X12),sK10(X11,X12)) ) )
    & ! [X14,X15,X16,X17] :
        ( ~ elem(m_Ack(X14,X15),queue(host(X14)))
        | elec_1 != index(status,host(X17))
        | elec_2 != index(status,host(X14))
        | host(X15) != host(X17)
        | ~ elem(m_Down(X16),queue(host(X17)))
        | ~ leq(host(X14),host(X17))
        | ~ setIn(X14,alive)
        | ( host(X16) != sK11(X16,X17)
          & ~ setIn(sK11(X16,X17),index(down,host(X17)))
          & leq(s(zero),sK11(X16,X17))
          & ~ leq(host(X17),sK11(X16,X17)) ) )
    & ! [X19,X20,X21] :
        ( host(X20) != index(ldr,host(X20))
        | norm != index(status,host(X20))
        | ~ setIn(X20,alive)
        | host(X20) != host(index(elid,host(X21)))
        | wait != index(status,host(X21))
        | host(X19) != host(X20)
        | ~ elem(m_Down(X19),queue(host(X21)))
        | ~ setIn(X21,alive)
        | host(X20) = host(X21) )
    & ! [X22,X23,X24] :
        ( host(X23) != index(ldr,host(X23))
        | norm != index(status,host(X23))
        | ~ setIn(X23,alive)
        | host(X23) != index(ldr,host(X24))
        | norm != index(status,host(X24))
        | host(X23) != host(X22)
        | ~ elem(m_Down(X22),queue(host(X24)))
        | ~ setIn(X24,alive)
        | host(X23) = host(X24) )
    & ! [X25,X26,X27,X28] :
        ( ~ setIn(host(X26),index(down,host(X27)))
        | ~ elem(m_Down(X28),queue(host(X25)))
        | host(X27) != host(X28)
        | host(X26) != host(X25)
        | ~ setIn(X27,alive)
        | ~ setIn(X25,alive)
        | host(X27) = host(X25) )
    & ! [X29,X30,X31,X32] :
        ( ~ elem(m_Down(X30),queue(host(X31)))
        | ~ elem(m_Down(X32),queue(host(X29)))
        | host(X32) != host(X31)
        | host(X29) != host(X30)
        | ~ setIn(X31,alive)
        | ~ setIn(X29,alive)
        | host(X29) = host(X31) )
    & ! [X33,X34,X35] :
        ( norm != index(status,host(X33))
        | host(X33) != index(ldr,host(X33))
        | ~ setIn(X33,alive)
        | host(X34) != host(X33)
        | ~ elem(m_Down(X34),queue(host(X35)))
        | ~ setIn(X35,alive)
        | leq(host(X34),host(X35)) )
    & ! [X36,X37] :
        ( X36 = X37
        | host(X37) != index(ldr,host(X37))
        | norm != index(status,host(X37))
        | norm != index(status,host(X36))
        | host(X36) != index(ldr,host(X36))
        | ~ setIn(X37,alive)
        | ~ setIn(X36,alive) )
    & ! [X38,X39,X40] :
        ( ~ elem(m_Down(X39),queue(host(X38)))
        | ~ setIn(X38,alive)
        | host(X40) != index(ldr,host(X40))
        | norm != index(status,host(X40))
        | host(X40) != host(X39)
        | ~ setIn(X40,alive) )
    & ! [X41,X42,X43] :
        ( leq(index(pendack,host(X43)),host(X41))
        | elec_2 != index(status,host(X43))
        | host(X42) != host(X43)
        | ~ elem(m_Down(X42),queue(host(X41)))
        | ~ setIn(X43,alive)
        | ~ setIn(X41,alive) )
    & ! [X44,X45] :
        ( ~ setIn(host(X45),index(down,host(X44)))
        | ~ setIn(X44,alive)
        | host(X45) != index(ldr,host(X45))
        | norm != index(status,host(X45))
        | ~ setIn(X45,alive) )
    & ! [X46,X47] :
        ( leq(index(pendack,host(X47)),host(X46))
        | elec_2 != index(status,host(X47))
        | ~ setIn(host(X47),index(down,host(X46)))
        | ~ setIn(X47,alive)
        | ~ setIn(X46,alive) )
    & ! [X48] :
        ( index(elid,host(X48)) = X48
        | ~ setIn(X48,alive)
        | ( elec_2 != index(status,host(X48))
          & elec_1 != index(status,host(X48)) ) )
    & ! [X49,X50] :
        ( ~ setIn(X50,alive)
        | ~ setIn(X49,alive)
        | host(X49) != host(X50)
        | X49 = X50 )
    & ! [X51,X52] :
        ( host(X52) != host(X51)
        | ~ elem(m_Down(X52),queue(host(X51))) )
    & ! [X53,X54] :
        ( ~ leq(host(X53),host(X54))
        | ~ elem(m_Ldr(X54),queue(host(X53))) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f146,f151,f150,f149,f148,f147]) ).

fof(f147,plain,
    ( ? [X0,X1,X2] :
        ( ? [X3,X4,X5,X6] :
            ( norm = index(status,host(X3))
            & host(X3) = index(ldr,host(X3))
            & setIn(X3,alive)
            & elec_1 = index(status,host(X6))
            & host(X4) = s(host(X6))
            & leq(nbr_proc,s(host(X6)))
            & elem(m_Down(X5),X0)
            & elem(m_Down(X4),X0)
            & setIn(X6,alive)
            & ! [X7] :
                ( host(X5) = X7
                | host(X2) = X7
                | setIn(X7,index(down,host(X1)))
                | ~ leq(s(zero),X7)
                | leq(host(X6),X7) )
            & host(X1) = host(X6) )
        & ( 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)
            | elec_1 != index(status,host(X12))
            | host(X10) != s(host(X12))
            | ~ elem(m_Down(X10),queue(host(X12)))
            | ~ elem(m_Down(X11),queue(host(X12)))
            | ~ leq(nbr_proc,s(host(X12)))
            | ~ setIn(X12,alive)
            | ? [X13] :
                ( host(X11) != X13
                & ~ setIn(X13,index(down,host(X12)))
                & leq(s(zero),X13)
                & ~ leq(host(X12),X13) ) )
        & ! [X14,X15,X16,X17] :
            ( ~ elem(m_Ack(X14,X15),queue(host(X14)))
            | elec_1 != index(status,host(X17))
            | elec_2 != index(status,host(X14))
            | host(X15) != host(X17)
            | ~ elem(m_Down(X16),queue(host(X17)))
            | ~ leq(host(X14),host(X17))
            | ~ setIn(X14,alive)
            | ? [X18] :
                ( host(X16) != X18
                & ~ setIn(X18,index(down,host(X17)))
                & leq(s(zero),X18)
                & ~ leq(host(X17),X18) ) )
        & ! [X19,X20,X21] :
            ( host(X20) != index(ldr,host(X20))
            | norm != index(status,host(X20))
            | ~ setIn(X20,alive)
            | host(X20) != host(index(elid,host(X21)))
            | wait != index(status,host(X21))
            | host(X19) != host(X20)
            | ~ elem(m_Down(X19),queue(host(X21)))
            | ~ setIn(X21,alive)
            | host(X20) = host(X21) )
        & ! [X22,X23,X24] :
            ( host(X23) != index(ldr,host(X23))
            | norm != index(status,host(X23))
            | ~ setIn(X23,alive)
            | host(X23) != index(ldr,host(X24))
            | norm != index(status,host(X24))
            | host(X23) != host(X22)
            | ~ elem(m_Down(X22),queue(host(X24)))
            | ~ setIn(X24,alive)
            | host(X23) = host(X24) )
        & ! [X25,X26,X27,X28] :
            ( ~ setIn(host(X26),index(down,host(X27)))
            | ~ elem(m_Down(X28),queue(host(X25)))
            | host(X27) != host(X28)
            | host(X26) != host(X25)
            | ~ setIn(X27,alive)
            | ~ setIn(X25,alive)
            | host(X27) = host(X25) )
        & ! [X29,X30,X31,X32] :
            ( ~ elem(m_Down(X30),queue(host(X31)))
            | ~ elem(m_Down(X32),queue(host(X29)))
            | host(X32) != host(X31)
            | host(X29) != host(X30)
            | ~ setIn(X31,alive)
            | ~ setIn(X29,alive)
            | host(X29) = host(X31) )
        & ! [X33,X34,X35] :
            ( norm != index(status,host(X33))
            | host(X33) != index(ldr,host(X33))
            | ~ setIn(X33,alive)
            | host(X34) != host(X33)
            | ~ elem(m_Down(X34),queue(host(X35)))
            | ~ setIn(X35,alive)
            | leq(host(X34),host(X35)) )
        & ! [X36,X37] :
            ( X36 = X37
            | host(X37) != index(ldr,host(X37))
            | norm != index(status,host(X37))
            | norm != index(status,host(X36))
            | host(X36) != index(ldr,host(X36))
            | ~ setIn(X37,alive)
            | ~ setIn(X36,alive) )
        & ! [X38,X39,X40] :
            ( ~ elem(m_Down(X39),queue(host(X38)))
            | ~ setIn(X38,alive)
            | host(X40) != index(ldr,host(X40))
            | norm != index(status,host(X40))
            | host(X40) != host(X39)
            | ~ setIn(X40,alive) )
        & ! [X41,X42,X43] :
            ( leq(index(pendack,host(X43)),host(X41))
            | elec_2 != index(status,host(X43))
            | host(X42) != host(X43)
            | ~ elem(m_Down(X42),queue(host(X41)))
            | ~ setIn(X43,alive)
            | ~ setIn(X41,alive) )
        & ! [X44,X45] :
            ( ~ setIn(host(X45),index(down,host(X44)))
            | ~ setIn(X44,alive)
            | host(X45) != index(ldr,host(X45))
            | norm != index(status,host(X45))
            | ~ setIn(X45,alive) )
        & ! [X46,X47] :
            ( leq(index(pendack,host(X47)),host(X46))
            | elec_2 != index(status,host(X47))
            | ~ setIn(host(X47),index(down,host(X46)))
            | ~ setIn(X47,alive)
            | ~ setIn(X46,alive) )
        & ! [X48] :
            ( index(elid,host(X48)) = X48
            | ~ setIn(X48,alive)
            | ( elec_2 != index(status,host(X48))
              & elec_1 != index(status,host(X48)) ) )
        & ! [X49,X50] :
            ( ~ setIn(X50,alive)
            | ~ setIn(X49,alive)
            | host(X49) != host(X50)
            | X49 = X50 )
        & ! [X51,X52] :
            ( host(X52) != host(X51)
            | ~ elem(m_Down(X52),queue(host(X51))) )
        & ! [X53,X54] :
            ( ~ leq(host(X53),host(X54))
            | ~ elem(m_Ldr(X54),queue(host(X53))) ) )
   => ( ? [X6,X5,X4,X3] :
          ( norm = index(status,host(X3))
          & host(X3) = index(ldr,host(X3))
          & setIn(X3,alive)
          & elec_1 = index(status,host(X6))
          & host(X4) = s(host(X6))
          & leq(nbr_proc,s(host(X6)))
          & elem(m_Down(X5),sK2)
          & elem(m_Down(X4),sK2)
          & setIn(X6,alive)
          & ! [X7] :
              ( host(X5) = X7
              | host(sK4) = X7
              | setIn(X7,index(down,host(sK3)))
              | ~ leq(s(zero),X7)
              | leq(host(X6),X7) )
          & host(X6) = 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)
          | elec_1 != index(status,host(X12))
          | host(X10) != s(host(X12))
          | ~ elem(m_Down(X10),queue(host(X12)))
          | ~ elem(m_Down(X11),queue(host(X12)))
          | ~ leq(nbr_proc,s(host(X12)))
          | ~ setIn(X12,alive)
          | ? [X13] :
              ( host(X11) != X13
              & ~ setIn(X13,index(down,host(X12)))
              & leq(s(zero),X13)
              & ~ leq(host(X12),X13) ) )
      & ! [X14,X15,X16,X17] :
          ( ~ elem(m_Ack(X14,X15),queue(host(X14)))
          | elec_1 != index(status,host(X17))
          | elec_2 != index(status,host(X14))
          | host(X15) != host(X17)
          | ~ elem(m_Down(X16),queue(host(X17)))
          | ~ leq(host(X14),host(X17))
          | ~ setIn(X14,alive)
          | ? [X18] :
              ( host(X16) != X18
              & ~ setIn(X18,index(down,host(X17)))
              & leq(s(zero),X18)
              & ~ leq(host(X17),X18) ) )
      & ! [X19,X20,X21] :
          ( host(X20) != index(ldr,host(X20))
          | norm != index(status,host(X20))
          | ~ setIn(X20,alive)
          | host(X20) != host(index(elid,host(X21)))
          | wait != index(status,host(X21))
          | host(X19) != host(X20)
          | ~ elem(m_Down(X19),queue(host(X21)))
          | ~ setIn(X21,alive)
          | host(X20) = host(X21) )
      & ! [X22,X23,X24] :
          ( host(X23) != index(ldr,host(X23))
          | norm != index(status,host(X23))
          | ~ setIn(X23,alive)
          | host(X23) != index(ldr,host(X24))
          | norm != index(status,host(X24))
          | host(X23) != host(X22)
          | ~ elem(m_Down(X22),queue(host(X24)))
          | ~ setIn(X24,alive)
          | host(X23) = host(X24) )
      & ! [X25,X26,X27,X28] :
          ( ~ setIn(host(X26),index(down,host(X27)))
          | ~ elem(m_Down(X28),queue(host(X25)))
          | host(X27) != host(X28)
          | host(X26) != host(X25)
          | ~ setIn(X27,alive)
          | ~ setIn(X25,alive)
          | host(X27) = host(X25) )
      & ! [X29,X30,X31,X32] :
          ( ~ elem(m_Down(X30),queue(host(X31)))
          | ~ elem(m_Down(X32),queue(host(X29)))
          | host(X32) != host(X31)
          | host(X29) != host(X30)
          | ~ setIn(X31,alive)
          | ~ setIn(X29,alive)
          | host(X29) = host(X31) )
      & ! [X33,X34,X35] :
          ( norm != index(status,host(X33))
          | host(X33) != index(ldr,host(X33))
          | ~ setIn(X33,alive)
          | host(X34) != host(X33)
          | ~ elem(m_Down(X34),queue(host(X35)))
          | ~ setIn(X35,alive)
          | leq(host(X34),host(X35)) )
      & ! [X36,X37] :
          ( X36 = X37
          | host(X37) != index(ldr,host(X37))
          | norm != index(status,host(X37))
          | norm != index(status,host(X36))
          | host(X36) != index(ldr,host(X36))
          | ~ setIn(X37,alive)
          | ~ setIn(X36,alive) )
      & ! [X38,X39,X40] :
          ( ~ elem(m_Down(X39),queue(host(X38)))
          | ~ setIn(X38,alive)
          | host(X40) != index(ldr,host(X40))
          | norm != index(status,host(X40))
          | host(X40) != host(X39)
          | ~ setIn(X40,alive) )
      & ! [X41,X42,X43] :
          ( leq(index(pendack,host(X43)),host(X41))
          | elec_2 != index(status,host(X43))
          | host(X42) != host(X43)
          | ~ elem(m_Down(X42),queue(host(X41)))
          | ~ setIn(X43,alive)
          | ~ setIn(X41,alive) )
      & ! [X44,X45] :
          ( ~ setIn(host(X45),index(down,host(X44)))
          | ~ setIn(X44,alive)
          | host(X45) != index(ldr,host(X45))
          | norm != index(status,host(X45))
          | ~ setIn(X45,alive) )
      & ! [X46,X47] :
          ( leq(index(pendack,host(X47)),host(X46))
          | elec_2 != index(status,host(X47))
          | ~ setIn(host(X47),index(down,host(X46)))
          | ~ setIn(X47,alive)
          | ~ setIn(X46,alive) )
      & ! [X48] :
          ( index(elid,host(X48)) = X48
          | ~ setIn(X48,alive)
          | ( elec_2 != index(status,host(X48))
            & elec_1 != index(status,host(X48)) ) )
      & ! [X49,X50] :
          ( ~ setIn(X50,alive)
          | ~ setIn(X49,alive)
          | host(X49) != host(X50)
          | X49 = X50 )
      & ! [X51,X52] :
          ( host(X52) != host(X51)
          | ~ elem(m_Down(X52),queue(host(X51))) )
      & ! [X53,X54] :
          ( ~ leq(host(X53),host(X54))
          | ~ elem(m_Ldr(X54),queue(host(X53))) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f148,plain,
    ( ? [X6,X5,X4,X3] :
        ( norm = index(status,host(X3))
        & host(X3) = index(ldr,host(X3))
        & setIn(X3,alive)
        & elec_1 = index(status,host(X6))
        & host(X4) = s(host(X6))
        & leq(nbr_proc,s(host(X6)))
        & elem(m_Down(X5),sK2)
        & elem(m_Down(X4),sK2)
        & setIn(X6,alive)
        & ! [X7] :
            ( host(X5) = X7
            | host(sK4) = X7
            | setIn(X7,index(down,host(sK3)))
            | ~ leq(s(zero),X7)
            | leq(host(X6),X7) )
        & host(X6) = host(sK3) )
   => ( norm = index(status,host(sK5))
      & host(sK5) = index(ldr,host(sK5))
      & setIn(sK5,alive)
      & elec_1 = index(status,host(sK8))
      & host(sK6) = s(host(sK8))
      & leq(nbr_proc,s(host(sK8)))
      & elem(m_Down(sK7),sK2)
      & elem(m_Down(sK6),sK2)
      & setIn(sK8,alive)
      & ! [X7] :
          ( host(sK7) = X7
          | host(sK4) = X7
          | setIn(X7,index(down,host(sK3)))
          | ~ leq(s(zero),X7)
          | leq(host(sK8),X7) )
      & host(sK3) = host(sK8) ) ),
    introduced(choice_axiom,[]) ).

fof(f149,plain,
    ( ? [X8] :
        ( host(sK4) != X8
        & ~ setIn(X8,index(down,host(sK3)))
        & leq(s(zero),X8)
        & ~ leq(host(sK3),X8) )
   => ( host(sK4) != sK9
      & ~ setIn(sK9,index(down,host(sK3)))
      & leq(s(zero),sK9)
      & ~ leq(host(sK3),sK9) ) ),
    introduced(choice_axiom,[]) ).

fof(f150,plain,
    ! [X11,X12] :
      ( ? [X13] :
          ( host(X11) != X13
          & ~ setIn(X13,index(down,host(X12)))
          & leq(s(zero),X13)
          & ~ leq(host(X12),X13) )
     => ( host(X11) != sK10(X11,X12)
        & ~ setIn(sK10(X11,X12),index(down,host(X12)))
        & leq(s(zero),sK10(X11,X12))
        & ~ leq(host(X12),sK10(X11,X12)) ) ),
    introduced(choice_axiom,[]) ).

fof(f151,plain,
    ! [X16,X17] :
      ( ? [X18] :
          ( host(X16) != X18
          & ~ setIn(X18,index(down,host(X17)))
          & leq(s(zero),X18)
          & ~ leq(host(X17),X18) )
     => ( host(X16) != sK11(X16,X17)
        & ~ setIn(sK11(X16,X17),index(down,host(X17)))
        & leq(s(zero),sK11(X16,X17))
        & ~ leq(host(X17),sK11(X16,X17)) ) ),
    introduced(choice_axiom,[]) ).

fof(f146,plain,
    ? [X0,X1,X2] :
      ( ? [X3,X4,X5,X6] :
          ( norm = index(status,host(X3))
          & host(X3) = index(ldr,host(X3))
          & setIn(X3,alive)
          & elec_1 = index(status,host(X6))
          & host(X4) = s(host(X6))
          & leq(nbr_proc,s(host(X6)))
          & elem(m_Down(X5),X0)
          & elem(m_Down(X4),X0)
          & setIn(X6,alive)
          & ! [X7] :
              ( host(X5) = X7
              | host(X2) = X7
              | setIn(X7,index(down,host(X1)))
              | ~ leq(s(zero),X7)
              | leq(host(X6),X7) )
          & host(X1) = host(X6) )
      & ( 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)
          | elec_1 != index(status,host(X12))
          | host(X10) != s(host(X12))
          | ~ elem(m_Down(X10),queue(host(X12)))
          | ~ elem(m_Down(X11),queue(host(X12)))
          | ~ leq(nbr_proc,s(host(X12)))
          | ~ setIn(X12,alive)
          | ? [X13] :
              ( host(X11) != X13
              & ~ setIn(X13,index(down,host(X12)))
              & leq(s(zero),X13)
              & ~ leq(host(X12),X13) ) )
      & ! [X14,X15,X16,X17] :
          ( ~ elem(m_Ack(X14,X15),queue(host(X14)))
          | elec_1 != index(status,host(X17))
          | elec_2 != index(status,host(X14))
          | host(X15) != host(X17)
          | ~ elem(m_Down(X16),queue(host(X17)))
          | ~ leq(host(X14),host(X17))
          | ~ setIn(X14,alive)
          | ? [X18] :
              ( host(X16) != X18
              & ~ setIn(X18,index(down,host(X17)))
              & leq(s(zero),X18)
              & ~ leq(host(X17),X18) ) )
      & ! [X19,X20,X21] :
          ( host(X20) != index(ldr,host(X20))
          | norm != index(status,host(X20))
          | ~ setIn(X20,alive)
          | host(X20) != host(index(elid,host(X21)))
          | wait != index(status,host(X21))
          | host(X19) != host(X20)
          | ~ elem(m_Down(X19),queue(host(X21)))
          | ~ setIn(X21,alive)
          | host(X20) = host(X21) )
      & ! [X22,X23,X24] :
          ( host(X23) != index(ldr,host(X23))
          | norm != index(status,host(X23))
          | ~ setIn(X23,alive)
          | host(X23) != index(ldr,host(X24))
          | norm != index(status,host(X24))
          | host(X23) != host(X22)
          | ~ elem(m_Down(X22),queue(host(X24)))
          | ~ setIn(X24,alive)
          | host(X23) = host(X24) )
      & ! [X25,X26,X27,X28] :
          ( ~ setIn(host(X26),index(down,host(X27)))
          | ~ elem(m_Down(X28),queue(host(X25)))
          | host(X27) != host(X28)
          | host(X26) != host(X25)
          | ~ setIn(X27,alive)
          | ~ setIn(X25,alive)
          | host(X27) = host(X25) )
      & ! [X29,X30,X31,X32] :
          ( ~ elem(m_Down(X30),queue(host(X31)))
          | ~ elem(m_Down(X32),queue(host(X29)))
          | host(X32) != host(X31)
          | host(X29) != host(X30)
          | ~ setIn(X31,alive)
          | ~ setIn(X29,alive)
          | host(X29) = host(X31) )
      & ! [X33,X34,X35] :
          ( norm != index(status,host(X33))
          | host(X33) != index(ldr,host(X33))
          | ~ setIn(X33,alive)
          | host(X34) != host(X33)
          | ~ elem(m_Down(X34),queue(host(X35)))
          | ~ setIn(X35,alive)
          | leq(host(X34),host(X35)) )
      & ! [X36,X37] :
          ( X36 = X37
          | host(X37) != index(ldr,host(X37))
          | norm != index(status,host(X37))
          | norm != index(status,host(X36))
          | host(X36) != index(ldr,host(X36))
          | ~ setIn(X37,alive)
          | ~ setIn(X36,alive) )
      & ! [X38,X39,X40] :
          ( ~ elem(m_Down(X39),queue(host(X38)))
          | ~ setIn(X38,alive)
          | host(X40) != index(ldr,host(X40))
          | norm != index(status,host(X40))
          | host(X40) != host(X39)
          | ~ setIn(X40,alive) )
      & ! [X41,X42,X43] :
          ( leq(index(pendack,host(X43)),host(X41))
          | elec_2 != index(status,host(X43))
          | host(X42) != host(X43)
          | ~ elem(m_Down(X42),queue(host(X41)))
          | ~ setIn(X43,alive)
          | ~ setIn(X41,alive) )
      & ! [X44,X45] :
          ( ~ setIn(host(X45),index(down,host(X44)))
          | ~ setIn(X44,alive)
          | host(X45) != index(ldr,host(X45))
          | norm != index(status,host(X45))
          | ~ setIn(X45,alive) )
      & ! [X46,X47] :
          ( leq(index(pendack,host(X47)),host(X46))
          | elec_2 != index(status,host(X47))
          | ~ setIn(host(X47),index(down,host(X46)))
          | ~ setIn(X47,alive)
          | ~ setIn(X46,alive) )
      & ! [X48] :
          ( index(elid,host(X48)) = X48
          | ~ setIn(X48,alive)
          | ( elec_2 != index(status,host(X48))
            & elec_1 != index(status,host(X48)) ) )
      & ! [X49,X50] :
          ( ~ setIn(X50,alive)
          | ~ setIn(X49,alive)
          | host(X49) != host(X50)
          | X49 = X50 )
      & ! [X51,X52] :
          ( host(X52) != host(X51)
          | ~ elem(m_Down(X52),queue(host(X51))) )
      & ! [X53,X54] :
          ( ~ leq(host(X53),host(X54))
          | ~ elem(m_Ldr(X54),queue(host(X53))) ) ),
    inference(rectify,[],[f126]) ).

fof(f126,plain,
    ? [X0,X2,X3] :
      ( ? [X51,X52,X53,X54] :
          ( norm = index(status,host(X51))
          & host(X51) = index(ldr,host(X51))
          & setIn(X51,alive)
          & elec_1 = index(status,host(X54))
          & s(host(X54)) = host(X52)
          & leq(nbr_proc,s(host(X54)))
          & elem(m_Down(X53),X0)
          & elem(m_Down(X52),X0)
          & setIn(X54,alive)
          & ! [X55] :
              ( host(X53) = X55
              | host(X3) = X55
              | setIn(X55,index(down,host(X2)))
              | ~ leq(s(zero),X55)
              | leq(host(X54),X55) )
          & host(X2) = host(X54) )
      & ( elec_1 != index(status,host(X2))
        | ? [X50] :
            ( host(X3) != X50
            & ~ setIn(X50,index(down,host(X2)))
            & leq(s(zero),X50)
            & ~ leq(host(X2),X50) ) )
      & ( 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)
          | elec_1 != index(status,host(X7))
          | host(X5) != s(host(X7))
          | ~ elem(m_Down(X5),queue(host(X7)))
          | ~ elem(m_Down(X6),queue(host(X7)))
          | ~ leq(nbr_proc,s(host(X7)))
          | ~ setIn(X7,alive)
          | ? [X8] :
              ( host(X6) != X8
              & ~ setIn(X8,index(down,host(X7)))
              & leq(s(zero),X8)
              & ~ leq(host(X7),X8) ) )
      & ! [X9,X10,X11,X12] :
          ( ~ elem(m_Ack(X9,X10),queue(host(X9)))
          | elec_1 != index(status,host(X12))
          | elec_2 != index(status,host(X9))
          | host(X12) != host(X10)
          | ~ elem(m_Down(X11),queue(host(X12)))
          | ~ leq(host(X9),host(X12))
          | ~ setIn(X9,alive)
          | ? [X13] :
              ( host(X11) != X13
              & ~ setIn(X13,index(down,host(X12)))
              & leq(s(zero),X13)
              & ~ leq(host(X12),X13) ) )
      & ! [X14,X15,X16] :
          ( host(X15) != index(ldr,host(X15))
          | norm != index(status,host(X15))
          | ~ setIn(X15,alive)
          | host(X15) != host(index(elid,host(X16)))
          | wait != index(status,host(X16))
          | host(X14) != host(X15)
          | ~ elem(m_Down(X14),queue(host(X16)))
          | ~ setIn(X16,alive)
          | host(X15) = host(X16) )
      & ! [X17,X18,X19] :
          ( host(X18) != index(ldr,host(X18))
          | norm != index(status,host(X18))
          | ~ setIn(X18,alive)
          | host(X18) != index(ldr,host(X19))
          | norm != index(status,host(X19))
          | host(X18) != host(X17)
          | ~ elem(m_Down(X17),queue(host(X19)))
          | ~ setIn(X19,alive)
          | host(X19) = host(X18) )
      & ! [X20,X21,X22,X23] :
          ( ~ setIn(host(X21),index(down,host(X22)))
          | ~ elem(m_Down(X23),queue(host(X20)))
          | host(X23) != host(X22)
          | host(X20) != host(X21)
          | ~ setIn(X22,alive)
          | ~ setIn(X20,alive)
          | host(X22) = host(X20) )
      & ! [X24,X25,X26,X27] :
          ( ~ elem(m_Down(X25),queue(host(X26)))
          | ~ elem(m_Down(X27),queue(host(X24)))
          | host(X27) != host(X26)
          | host(X24) != host(X25)
          | ~ setIn(X26,alive)
          | ~ setIn(X24,alive)
          | host(X26) = host(X24) )
      & ! [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)
          | leq(host(X29),host(X30)) )
      & ! [X31,X32] :
          ( X31 = X32
          | host(X32) != index(ldr,host(X32))
          | norm != index(status,host(X32))
          | norm != index(status,host(X31))
          | host(X31) != index(ldr,host(X31))
          | ~ setIn(X32,alive)
          | ~ setIn(X31,alive) )
      & ! [X33,X34,X35] :
          ( ~ elem(m_Down(X34),queue(host(X33)))
          | ~ setIn(X33,alive)
          | host(X35) != index(ldr,host(X35))
          | norm != index(status,host(X35))
          | host(X35) != host(X34)
          | ~ setIn(X35,alive) )
      & ! [X36,X37,X38] :
          ( leq(index(pendack,host(X38)),host(X36))
          | elec_2 != index(status,host(X38))
          | host(X38) != host(X37)
          | ~ elem(m_Down(X37),queue(host(X36)))
          | ~ setIn(X38,alive)
          | ~ setIn(X36,alive) )
      & ! [X39,X40] :
          ( ~ setIn(host(X40),index(down,host(X39)))
          | ~ setIn(X39,alive)
          | host(X40) != index(ldr,host(X40))
          | norm != index(status,host(X40))
          | ~ setIn(X40,alive) )
      & ! [X41,X42] :
          ( leq(index(pendack,host(X42)),host(X41))
          | elec_2 != index(status,host(X42))
          | ~ setIn(host(X42),index(down,host(X41)))
          | ~ setIn(X42,alive)
          | ~ setIn(X41,alive) )
      & ! [X43] :
          ( index(elid,host(X43)) = X43
          | ~ setIn(X43,alive)
          | ( elec_2 != index(status,host(X43))
            & elec_1 != index(status,host(X43)) ) )
      & ! [X44,X45] :
          ( ~ setIn(X45,alive)
          | ~ setIn(X44,alive)
          | host(X44) != host(X45)
          | X44 = X45 )
      & ! [X46,X47] :
          ( host(X46) != host(X47)
          | ~ elem(m_Down(X47),queue(host(X46))) )
      & ! [X48,X49] :
          ( ~ leq(host(X48),host(X49))
          | ~ elem(m_Ldr(X49),queue(host(X48))) ) ),
    inference(flattening,[],[f125]) ).

fof(f125,plain,
    ? [X0,X2,X3] :
      ( ? [X51,X52,X53,X54] :
          ( norm = index(status,host(X51))
          & host(X51) = index(ldr,host(X51))
          & setIn(X51,alive)
          & elec_1 = index(status,host(X54))
          & s(host(X54)) = host(X52)
          & leq(nbr_proc,s(host(X54)))
          & elem(m_Down(X53),X0)
          & elem(m_Down(X52),X0)
          & setIn(X54,alive)
          & ! [X55] :
              ( host(X53) = X55
              | host(X3) = X55
              | setIn(X55,index(down,host(X2)))
              | ~ leq(s(zero),X55)
              | leq(host(X54),X55) )
          & host(X2) = host(X54) )
      & ( elec_1 != index(status,host(X2))
        | ? [X50] :
            ( host(X3) != X50
            & ~ setIn(X50,index(down,host(X2)))
            & leq(s(zero),X50)
            & ~ leq(host(X2),X50) ) )
      & ( 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)
          | elec_1 != index(status,host(X7))
          | host(X5) != s(host(X7))
          | ~ elem(m_Down(X5),queue(host(X7)))
          | ~ elem(m_Down(X6),queue(host(X7)))
          | ~ leq(nbr_proc,s(host(X7)))
          | ~ setIn(X7,alive)
          | ? [X8] :
              ( host(X6) != X8
              & ~ setIn(X8,index(down,host(X7)))
              & leq(s(zero),X8)
              & ~ leq(host(X7),X8) ) )
      & ! [X9,X10,X11,X12] :
          ( ~ elem(m_Ack(X9,X10),queue(host(X9)))
          | elec_1 != index(status,host(X12))
          | elec_2 != index(status,host(X9))
          | host(X12) != host(X10)
          | ~ elem(m_Down(X11),queue(host(X12)))
          | ~ leq(host(X9),host(X12))
          | ~ setIn(X9,alive)
          | ? [X13] :
              ( host(X11) != X13
              & ~ setIn(X13,index(down,host(X12)))
              & leq(s(zero),X13)
              & ~ leq(host(X12),X13) ) )
      & ! [X14,X15,X16] :
          ( host(X15) != index(ldr,host(X15))
          | norm != index(status,host(X15))
          | ~ setIn(X15,alive)
          | host(X15) != host(index(elid,host(X16)))
          | wait != index(status,host(X16))
          | host(X14) != host(X15)
          | ~ elem(m_Down(X14),queue(host(X16)))
          | ~ setIn(X16,alive)
          | host(X15) = host(X16) )
      & ! [X17,X18,X19] :
          ( host(X18) != index(ldr,host(X18))
          | norm != index(status,host(X18))
          | ~ setIn(X18,alive)
          | host(X18) != index(ldr,host(X19))
          | norm != index(status,host(X19))
          | host(X18) != host(X17)
          | ~ elem(m_Down(X17),queue(host(X19)))
          | ~ setIn(X19,alive)
          | host(X19) = host(X18) )
      & ! [X20,X21,X22,X23] :
          ( ~ setIn(host(X21),index(down,host(X22)))
          | ~ elem(m_Down(X23),queue(host(X20)))
          | host(X23) != host(X22)
          | host(X20) != host(X21)
          | ~ setIn(X22,alive)
          | ~ setIn(X20,alive)
          | host(X22) = host(X20) )
      & ! [X24,X25,X26,X27] :
          ( ~ elem(m_Down(X25),queue(host(X26)))
          | ~ elem(m_Down(X27),queue(host(X24)))
          | host(X27) != host(X26)
          | host(X24) != host(X25)
          | ~ setIn(X26,alive)
          | ~ setIn(X24,alive)
          | host(X26) = host(X24) )
      & ! [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)
          | leq(host(X29),host(X30)) )
      & ! [X31,X32] :
          ( X31 = X32
          | host(X32) != index(ldr,host(X32))
          | norm != index(status,host(X32))
          | norm != index(status,host(X31))
          | host(X31) != index(ldr,host(X31))
          | ~ setIn(X32,alive)
          | ~ setIn(X31,alive) )
      & ! [X33,X34,X35] :
          ( ~ elem(m_Down(X34),queue(host(X33)))
          | ~ setIn(X33,alive)
          | host(X35) != index(ldr,host(X35))
          | norm != index(status,host(X35))
          | host(X35) != host(X34)
          | ~ setIn(X35,alive) )
      & ! [X36,X37,X38] :
          ( leq(index(pendack,host(X38)),host(X36))
          | elec_2 != index(status,host(X38))
          | host(X38) != host(X37)
          | ~ elem(m_Down(X37),queue(host(X36)))
          | ~ setIn(X38,alive)
          | ~ setIn(X36,alive) )
      & ! [X39,X40] :
          ( ~ setIn(host(X40),index(down,host(X39)))
          | ~ setIn(X39,alive)
          | host(X40) != index(ldr,host(X40))
          | norm != index(status,host(X40))
          | ~ setIn(X40,alive) )
      & ! [X41,X42] :
          ( leq(index(pendack,host(X42)),host(X41))
          | elec_2 != index(status,host(X42))
          | ~ setIn(host(X42),index(down,host(X41)))
          | ~ setIn(X42,alive)
          | ~ setIn(X41,alive) )
      & ! [X43] :
          ( index(elid,host(X43)) = X43
          | ~ setIn(X43,alive)
          | ( elec_2 != index(status,host(X43))
            & elec_1 != index(status,host(X43)) ) )
      & ! [X44,X45] :
          ( ~ setIn(X45,alive)
          | ~ setIn(X44,alive)
          | host(X44) != host(X45)
          | X44 = X45 )
      & ! [X46,X47] :
          ( host(X46) != host(X47)
          | ~ elem(m_Down(X47),queue(host(X46))) )
      & ! [X48,X49] :
          ( ~ leq(host(X48),host(X49))
          | ~ elem(m_Ldr(X49),queue(host(X48))) ) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,plain,
    ~ ! [X0,X2,X3] :
        ( ( queue(host(X2)) = cons(m_Down(X3),X0)
          & ! [X4,X5,X6,X7] :
              ( ( elec_1 = index(status,host(X7))
                & host(X5) = s(host(X7))
                & elem(m_Down(X5),queue(host(X7)))
                & elem(m_Down(X6),queue(host(X7)))
                & leq(nbr_proc,s(host(X7)))
                & setIn(X7,alive)
                & ! [X8] :
                    ( ( leq(s(zero),X8)
                      & ~ leq(host(X7),X8) )
                   => ( host(X6) = X8
                      | setIn(X8,index(down,host(X7))) ) ) )
             => ~ ( norm = index(status,host(X4))
                  & host(X4) = index(ldr,host(X4))
                  & setIn(X4,alive) ) )
          & ! [X9,X10,X11,X12] :
              ( ( elec_1 = index(status,host(X12))
                & elec_2 = index(status,host(X9))
                & host(X12) = host(X10)
                & elem(m_Down(X11),queue(host(X12)))
                & leq(host(X9),host(X12))
                & setIn(X9,alive)
                & ! [X13] :
                    ( ( leq(s(zero),X13)
                      & ~ leq(host(X12),X13) )
                   => ( host(X11) = X13
                      | setIn(X13,index(down,host(X12))) ) ) )
             => ~ elem(m_Ack(X9,X10),queue(host(X9))) )
          & ! [X14,X15,X16] :
              ( ( host(X15) = host(index(elid,host(X16)))
                & wait = index(status,host(X16))
                & host(X14) = host(X15)
                & elem(m_Down(X14),queue(host(X16)))
                & setIn(X16,alive)
                & host(X15) != host(X16) )
             => ~ ( host(X15) = index(ldr,host(X15))
                  & norm = index(status,host(X15))
                  & setIn(X15,alive) ) )
          & ! [X17,X18,X19] :
              ( ( host(X18) = index(ldr,host(X19))
                & norm = index(status,host(X19))
                & host(X18) = host(X17)
                & elem(m_Down(X17),queue(host(X19)))
                & setIn(X19,alive)
                & host(X19) != host(X18) )
             => ~ ( host(X18) = index(ldr,host(X18))
                  & norm = index(status,host(X18))
                  & setIn(X18,alive) ) )
          & ! [X20,X21,X22,X23] :
              ( ( host(X23) = host(X22)
                & host(X20) = host(X21)
                & setIn(X22,alive)
                & setIn(X20,alive)
                & host(X22) != host(X20) )
             => ~ ( setIn(host(X21),index(down,host(X22)))
                  & elem(m_Down(X23),queue(host(X20))) ) )
          & ! [X24,X25,X26,X27] :
              ( ( host(X27) = host(X26)
                & host(X24) = host(X25)
                & setIn(X26,alive)
                & setIn(X24,alive)
                & host(X26) != host(X24) )
             => ~ ( elem(m_Down(X25),queue(host(X26)))
                  & elem(m_Down(X27),queue(host(X24))) ) )
          & ! [X28,X29,X30] :
              ( ( host(X28) = host(X29)
                & elem(m_Down(X29),queue(host(X30)))
                & setIn(X30,alive)
                & ~ leq(host(X29),host(X30)) )
             => ~ ( norm = index(status,host(X28))
                  & host(X28) = index(ldr,host(X28))
                  & setIn(X28,alive) ) )
          & ! [X31,X32] :
              ( ( host(X32) = index(ldr,host(X32))
                & norm = index(status,host(X32))
                & norm = index(status,host(X31))
                & host(X31) = index(ldr,host(X31))
                & setIn(X32,alive)
                & setIn(X31,alive) )
             => X31 = X32 )
          & ! [X33,X34,X35] :
              ( ( host(X35) = index(ldr,host(X35))
                & norm = index(status,host(X35))
                & host(X35) = host(X34)
                & setIn(X35,alive) )
             => ~ ( elem(m_Down(X34),queue(host(X33)))
                  & setIn(X33,alive) ) )
          & ! [X36,X37,X38] :
              ( ( elec_2 = index(status,host(X38))
                & host(X38) = host(X37)
                & elem(m_Down(X37),queue(host(X36)))
                & setIn(X38,alive)
                & setIn(X36,alive) )
             => leq(index(pendack,host(X38)),host(X36)) )
          & ! [X39,X40] :
              ( ( host(X40) = index(ldr,host(X40))
                & norm = index(status,host(X40))
                & setIn(X40,alive) )
             => ~ ( setIn(host(X40),index(down,host(X39)))
                  & setIn(X39,alive) ) )
          & ! [X41,X42] :
              ( ( elec_2 = index(status,host(X42))
                & setIn(host(X42),index(down,host(X41)))
                & setIn(X42,alive)
                & setIn(X41,alive) )
             => leq(index(pendack,host(X42)),host(X41)) )
          & ! [X43] :
              ( ( setIn(X43,alive)
                & ( elec_2 = index(status,host(X43))
                  | elec_1 = index(status,host(X43)) ) )
             => index(elid,host(X43)) = X43 )
          & ! [X44,X45] :
              ( ( host(X44) = host(X45)
                & X44 != X45 )
             => ( ~ setIn(X45,alive)
                | ~ setIn(X44,alive) ) )
          & ! [X46,X47] :
              ( elem(m_Down(X47),queue(host(X46)))
             => host(X46) != host(X47) )
          & ! [X48,X49] :
              ( elem(m_Ldr(X49),queue(host(X48)))
             => ~ leq(host(X48),host(X49)) ) )
       => ( 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))
                    & ! [X50] :
                        ( ( leq(s(zero),X50)
                          & ~ leq(host(X2),X50) )
                       => ( host(X3) = X50
                          | setIn(X50,index(down,host(X2))) ) ) )
               => ! [X51,X52,X53,X54] :
                    ( host(X2) = host(X54)
                   => ( ( elec_1 = index(status,host(X54))
                        & s(host(X54)) = host(X52)
                        & leq(nbr_proc,s(host(X54)))
                        & elem(m_Down(X53),X0)
                        & elem(m_Down(X52),X0)
                        & setIn(X54,alive)
                        & ! [X55] :
                            ( ( leq(s(zero),X55)
                              & ~ leq(host(X54),X55) )
                           => ( host(X53) = X55
                              | host(X3) = X55
                              | setIn(X55,index(down,host(X2))) ) ) )
                     => ~ ( norm = index(status,host(X51))
                          & host(X51) = index(ldr,host(X51))
                          & setIn(X51,alive) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f68]) ).

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

fof(f67,conjecture,
    ! [X11,X12,X4,X5] :
      ( ( queue(host(X4)) = cons(m_Down(X5),X11)
        & ! [X6,X15,X14,X13] :
            ( ( elec_1 = index(status,host(X13))
              & host(X15) = s(host(X13))
              & elem(m_Down(X15),queue(host(X13)))
              & elem(m_Down(X14),queue(host(X13)))
              & leq(nbr_proc,s(host(X13)))
              & setIn(X13,alive)
              & ! [X16] :
                  ( ( leq(s(zero),X16)
                    & ~ leq(host(X13),X16) )
                 => ( host(X14) = X16
                    | setIn(X16,index(down,host(X13))) ) ) )
           => ~ ( norm = index(status,host(X6))
                & host(X6) = index(ldr,host(X6))
                & setIn(X6,alive) ) )
        & ! [X6,X15,X14,X13] :
            ( ( elec_1 = index(status,host(X13))
              & elec_2 = index(status,host(X6))
              & host(X13) = host(X15)
              & elem(m_Down(X14),queue(host(X13)))
              & leq(host(X6),host(X13))
              & setIn(X6,alive)
              & ! [X16] :
                  ( ( leq(s(zero),X16)
                    & ~ leq(host(X13),X16) )
                 => ( host(X14) = X16
                    | setIn(X16,index(down,host(X13))) ) ) )
           => ~ elem(m_Ack(X6,X15),queue(host(X6))) )
        & ! [X6,X14,X13] :
            ( ( host(X14) = host(index(elid,host(X13)))
              & wait = index(status,host(X13))
              & host(X6) = host(X14)
              & elem(m_Down(X6),queue(host(X13)))
              & setIn(X13,alive)
              & host(X13) != host(X14) )
           => ~ ( host(X14) = index(ldr,host(X14))
                & norm = index(status,host(X14))
                & setIn(X14,alive) ) )
        & ! [X6,X14,X13] :
            ( ( index(ldr,host(X13)) = host(X14)
              & norm = index(status,host(X13))
              & host(X6) = host(X14)
              & elem(m_Down(X6),queue(host(X13)))
              & setIn(X13,alive)
              & host(X13) != host(X14) )
           => ~ ( host(X14) = index(ldr,host(X14))
                & norm = index(status,host(X14))
                & setIn(X14,alive) ) )
        & ! [X6,X15,X14,X13] :
            ( ( host(X13) = host(X14)
              & host(X6) = host(X15)
              & setIn(X14,alive)
              & setIn(X6,alive)
              & host(X6) != host(X14) )
           => ~ ( setIn(host(X15),index(down,host(X14)))
                & elem(m_Down(X13),queue(host(X6))) ) )
        & ! [X6,X15,X14,X13] :
            ( ( host(X13) = host(X14)
              & host(X6) = host(X15)
              & setIn(X14,alive)
              & setIn(X6,alive)
              & host(X6) != host(X14) )
           => ~ ( elem(m_Down(X15),queue(host(X14)))
                & elem(m_Down(X13),queue(host(X6))) ) )
        & ! [X6,X14,X13] :
            ( ( host(X6) = host(X14)
              & elem(m_Down(X14),queue(host(X13)))
              & setIn(X13,alive)
              & ~ leq(host(X14),host(X13)) )
           => ~ ( norm = index(status,host(X6))
                & host(X6) = index(ldr,host(X6))
                & setIn(X6,alive) ) )
        & ! [X6,X13] :
            ( ( host(X13) = index(ldr,host(X13))
              & norm = index(status,host(X13))
              & norm = index(status,host(X6))
              & host(X6) = index(ldr,host(X6))
              & setIn(X13,alive)
              & setIn(X6,alive) )
           => X6 = X13 )
        & ! [X6,X14,X13] :
            ( ( host(X13) = index(ldr,host(X13))
              & norm = index(status,host(X13))
              & host(X13) = host(X14)
              & setIn(X13,alive) )
           => ~ ( elem(m_Down(X14),queue(host(X6)))
                & setIn(X6,alive) ) )
        & ! [X6,X14,X13] :
            ( ( elec_2 = index(status,host(X13))
              & host(X13) = host(X14)
              & elem(m_Down(X14),queue(host(X6)))
              & setIn(X13,alive)
              & setIn(X6,alive) )
           => leq(index(pendack,host(X13)),host(X6)) )
        & ! [X6,X13] :
            ( ( host(X13) = index(ldr,host(X13))
              & norm = index(status,host(X13))
              & setIn(X13,alive) )
           => ~ ( setIn(host(X13),index(down,host(X6)))
                & setIn(X6,alive) ) )
        & ! [X6,X13] :
            ( ( elec_2 = index(status,host(X13))
              & setIn(host(X13),index(down,host(X6)))
              & setIn(X13,alive)
              & setIn(X6,alive) )
           => leq(index(pendack,host(X13)),host(X6)) )
        & ! [X6] :
            ( ( setIn(X6,alive)
              & ( elec_2 = index(status,host(X6))
                | elec_1 = index(status,host(X6)) ) )
           => index(elid,host(X6)) = X6 )
        & ! [X6,X13] :
            ( ( host(X6) = host(X13)
              & X6 != X13 )
           => ( ~ setIn(X13,alive)
              | ~ setIn(X6,alive) ) )
        & ! [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))) ) ) )
             => ! [X6,X17,X18,X19] :
                  ( host(X4) = host(X19)
                 => ( ( elec_1 = index(status,host(X19))
                      & s(host(X19)) = host(X17)
                      & leq(nbr_proc,s(host(X19)))
                      & elem(m_Down(X18),X11)
                      & elem(m_Down(X17),X11)
                      & setIn(X19,alive)
                      & ! [X16] :
                          ( ( leq(s(zero),X16)
                            & ~ leq(host(X19),X16) )
                         => ( host(X18) = X16
                            | host(X5) = X16
                            | setIn(X16,index(down,host(X4))) ) ) )
                   => ~ ( norm = index(status,host(X6))
                        & host(X6) = index(ldr,host(X6))
                        & setIn(X6,alive) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

fof(f222,plain,
    elec_1 = index(status,host(sK8)),
    inference(cnf_transformation,[],[f152]) ).

fof(f57215,plain,
    ( norm = index(status,host(sK3))
    | ~ spl15_40 ),
    inference(superposition,[],[f225,f57211]) ).

fof(f57211,plain,
    ( host(sK3) = host(sK5)
    | ~ spl15_40 ),
    inference(subsumption_resolution,[],[f57183,f47442]) ).

fof(f47442,plain,
    leq(host(sK3),host(sK5)),
    inference(subsumption_resolution,[],[f47441,f23894]) ).

fof(f23894,plain,
    host(sK4) != host(sK5),
    inference(subsumption_resolution,[],[f23888,f207]) ).

fof(f207,plain,
    setIn(sK3,alive),
    inference(cnf_transformation,[],[f152]) ).

fof(f23888,plain,
    ( ~ setIn(sK3,alive)
    | host(sK4) != host(sK5) ),
    inference(resolution,[],[f3348,f359]) ).

fof(f359,plain,
    elem(m_Down(sK4),queue(host(sK3))),
    inference(superposition,[],[f338,f206]) ).

fof(f206,plain,
    queue(host(sK3)) = cons(m_Down(sK4),sK2),
    inference(cnf_transformation,[],[f152]) ).

fof(f338,plain,
    ! [X2,X1] : elem(X1,cons(X1,X2)),
    inference(equality_resolution,[],[f322]) ).

fof(f322,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/sandbox/benchmark/theBenchmark.p',axiom_46) ).

fof(f3348,plain,
    ! [X0,X1] :
      ( ~ elem(m_Down(X1),queue(host(X0)))
      | ~ setIn(X0,alive)
      | host(X1) != host(sK5) ),
    inference(subsumption_resolution,[],[f3347,f223]) ).

fof(f223,plain,
    setIn(sK5,alive),
    inference(cnf_transformation,[],[f152]) ).

fof(f3347,plain,
    ! [X0,X1] :
      ( ~ setIn(X0,alive)
      | ~ elem(m_Down(X1),queue(host(X0)))
      | host(X1) != host(sK5)
      | ~ setIn(sK5,alive) ),
    inference(subsumption_resolution,[],[f3339,f225]) ).

fof(f3339,plain,
    ! [X0,X1] :
      ( ~ setIn(X0,alive)
      | ~ elem(m_Down(X1),queue(host(X0)))
      | norm != index(status,host(sK5))
      | host(X1) != host(sK5)
      | ~ setIn(sK5,alive) ),
    inference(trivial_inequality_removal,[],[f3338]) ).

fof(f3338,plain,
    ! [X0,X1] :
      ( host(sK5) != host(sK5)
      | ~ setIn(X0,alive)
      | ~ elem(m_Down(X1),queue(host(X0)))
      | norm != index(status,host(sK5))
      | host(X1) != host(sK5)
      | ~ setIn(sK5,alive) ),
    inference(superposition,[],[f191,f224]) ).

fof(f224,plain,
    host(sK5) = index(ldr,host(sK5)),
    inference(cnf_transformation,[],[f152]) ).

fof(f191,plain,
    ! [X40,X38,X39] :
      ( host(X40) != index(ldr,host(X40))
      | ~ setIn(X38,alive)
      | ~ elem(m_Down(X39),queue(host(X38)))
      | norm != index(status,host(X40))
      | host(X40) != host(X39)
      | ~ setIn(X40,alive) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f47441,plain,
    ( host(sK4) = host(sK5)
    | leq(host(sK3),host(sK5)) ),
    inference(subsumption_resolution,[],[f47440,f223]) ).

fof(f47440,plain,
    ( ~ setIn(sK5,alive)
    | host(sK4) = host(sK5)
    | leq(host(sK3),host(sK5)) ),
    inference(subsumption_resolution,[],[f47439,f225]) ).

fof(f47439,plain,
    ( norm != index(status,host(sK5))
    | ~ setIn(sK5,alive)
    | host(sK4) = host(sK5)
    | leq(host(sK3),host(sK5)) ),
    inference(subsumption_resolution,[],[f47433,f23903]) ).

fof(f23903,plain,
    host(sK5) != sK9,
    inference(subsumption_resolution,[],[f23900,f219]) ).

fof(f219,plain,
    elem(m_Down(sK7),sK2),
    inference(cnf_transformation,[],[f152]) ).

fof(f23900,plain,
    ( host(sK5) != sK9
    | ~ elem(m_Down(sK7),sK2) ),
    inference(superposition,[],[f23895,f2759]) ).

fof(f2759,plain,
    host(sK7) = sK9,
    inference(subsumption_resolution,[],[f2758,f402]) ).

fof(f402,plain,
    leq(s(zero),sK9),
    inference(subsumption_resolution,[],[f212,f342]) ).

fof(f212,plain,
    ( elec_1 != index(status,host(sK3))
    | leq(s(zero),sK9) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f2758,plain,
    ( host(sK7) = sK9
    | ~ leq(s(zero),sK9) ),
    inference(subsumption_resolution,[],[f2757,f390]) ).

fof(f390,plain,
    ~ leq(host(sK3),sK9),
    inference(subsumption_resolution,[],[f211,f342]) ).

fof(f211,plain,
    ( elec_1 != index(status,host(sK3))
    | ~ leq(host(sK3),sK9) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f2757,plain,
    ( host(sK7) = sK9
    | leq(host(sK3),sK9)
    | ~ leq(s(zero),sK9) ),
    inference(subsumption_resolution,[],[f2756,f416]) ).

fof(f416,plain,
    host(sK4) != sK9,
    inference(subsumption_resolution,[],[f214,f342]) ).

fof(f214,plain,
    ( elec_1 != index(status,host(sK3))
    | host(sK4) != sK9 ),
    inference(cnf_transformation,[],[f152]) ).

fof(f2756,plain,
    ( host(sK7) = sK9
    | host(sK4) = sK9
    | leq(host(sK3),sK9)
    | ~ leq(s(zero),sK9) ),
    inference(resolution,[],[f2743,f935]) ).

fof(f935,plain,
    ~ setIn(sK9,index(down,host(sK3))),
    inference(subsumption_resolution,[],[f213,f342]) ).

fof(f213,plain,
    ( elec_1 != index(status,host(sK3))
    | ~ setIn(sK9,index(down,host(sK3))) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f2743,plain,
    ! [X7] :
      ( setIn(X7,index(down,host(sK3)))
      | host(sK7) = X7
      | host(sK4) = X7
      | leq(host(sK3),X7)
      | ~ leq(s(zero),X7) ),
    inference(forward_demodulation,[],[f216,f215]) ).

fof(f216,plain,
    ! [X7] :
      ( host(sK7) = X7
      | host(sK4) = X7
      | setIn(X7,index(down,host(sK3)))
      | ~ leq(s(zero),X7)
      | leq(host(sK8),X7) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f23895,plain,
    ! [X0] :
      ( host(X0) != host(sK5)
      | ~ elem(m_Down(X0),sK2) ),
    inference(subsumption_resolution,[],[f23889,f207]) ).

fof(f23889,plain,
    ! [X0] :
      ( ~ setIn(sK3,alive)
      | host(X0) != host(sK5)
      | ~ elem(m_Down(X0),sK2) ),
    inference(resolution,[],[f3348,f535]) ).

fof(f535,plain,
    ! [X0] :
      ( elem(X0,queue(host(sK3)))
      | ~ elem(X0,sK2) ),
    inference(superposition,[],[f323,f206]) ).

fof(f323,plain,
    ! [X2,X0,X1] :
      ( elem(X0,cons(X1,X2))
      | ~ elem(X0,X2) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f47433,plain,
    ( host(sK5) = sK9
    | norm != index(status,host(sK5))
    | ~ setIn(sK5,alive)
    | host(sK4) = host(sK5)
    | leq(host(sK3),host(sK5)) ),
    inference(trivial_inequality_removal,[],[f47432]) ).

fof(f47432,plain,
    ( host(sK5) != host(sK5)
    | host(sK5) = sK9
    | norm != index(status,host(sK5))
    | ~ setIn(sK5,alive)
    | host(sK4) = host(sK5)
    | leq(host(sK3),host(sK5)) ),
    inference(superposition,[],[f3051,f224]) ).

fof(f3051,plain,
    ! [X0] :
      ( host(X0) != index(ldr,host(X0))
      | host(X0) = sK9
      | norm != index(status,host(X0))
      | ~ setIn(X0,alive)
      | host(X0) = host(sK4)
      | leq(host(sK3),host(X0)) ),
    inference(forward_demodulation,[],[f3050,f2759]) ).

fof(f3050,plain,
    ! [X0] :
      ( host(X0) != index(ldr,host(X0))
      | norm != index(status,host(X0))
      | ~ setIn(X0,alive)
      | host(X0) = host(sK7)
      | host(X0) = host(sK4)
      | leq(host(sK3),host(X0)) ),
    inference(subsumption_resolution,[],[f3049,f242]) ).

fof(f242,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/sandbox/benchmark/theBenchmark.p',axiom_02) ).

fof(f3049,plain,
    ! [X0] :
      ( host(X0) != index(ldr,host(X0))
      | norm != index(status,host(X0))
      | ~ setIn(X0,alive)
      | host(X0) = host(sK7)
      | host(X0) = host(sK4)
      | leq(host(sK3),host(X0))
      | ~ leq(s(zero),host(X0)) ),
    inference(subsumption_resolution,[],[f3042,f207]) ).

fof(f3042,plain,
    ! [X0] :
      ( ~ setIn(sK3,alive)
      | host(X0) != index(ldr,host(X0))
      | norm != index(status,host(X0))
      | ~ setIn(X0,alive)
      | host(X0) = host(sK7)
      | host(X0) = host(sK4)
      | leq(host(sK3),host(X0))
      | ~ leq(s(zero),host(X0)) ),
    inference(resolution,[],[f189,f2743]) ).

fof(f189,plain,
    ! [X44,X45] :
      ( ~ setIn(host(X45),index(down,host(X44)))
      | ~ setIn(X44,alive)
      | host(X45) != index(ldr,host(X45))
      | norm != index(status,host(X45))
      | ~ setIn(X45,alive) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f57183,plain,
    ( host(sK3) = host(sK5)
    | ~ leq(host(sK3),host(sK5))
    | ~ spl15_40 ),
    inference(resolution,[],[f56844,f306]) ).

fof(f306,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/sandbox/benchmark/theBenchmark.p',axiom_61) ).

fof(f56844,plain,
    ( leq(host(sK5),host(sK3))
    | ~ spl15_40 ),
    inference(subsumption_resolution,[],[f56544,f343]) ).

fof(f343,plain,
    leq(nbr_proc,host(sK6)),
    inference(superposition,[],[f339,f341]) ).

fof(f341,plain,
    host(sK6) = s(host(sK3)),
    inference(forward_demodulation,[],[f221,f215]) ).

fof(f221,plain,
    host(sK6) = s(host(sK8)),
    inference(cnf_transformation,[],[f152]) ).

fof(f339,plain,
    leq(nbr_proc,s(host(sK3))),
    inference(forward_demodulation,[],[f220,f215]) ).

fof(f220,plain,
    leq(nbr_proc,s(host(sK8))),
    inference(cnf_transformation,[],[f152]) ).

fof(f56544,plain,
    ( ~ leq(nbr_proc,host(sK6))
    | leq(host(sK5),host(sK3))
    | ~ spl15_40 ),
    inference(superposition,[],[f440,f56372]) ).

fof(f56372,plain,
    ( nbr_proc = s(host(sK5))
    | ~ spl15_40 ),
    inference(avatar_component_clause,[],[f56370]) ).

fof(f56370,plain,
    ( spl15_40
  <=> nbr_proc = s(host(sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_40])]) ).

fof(f440,plain,
    ! [X0] :
      ( ~ leq(s(X0),host(sK6))
      | leq(X0,host(sK3)) ),
    inference(superposition,[],[f284,f341]) ).

fof(f284,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/sandbox/benchmark/theBenchmark.p',axiom_63) ).

fof(f225,plain,
    norm = index(status,host(sK5)),
    inference(cnf_transformation,[],[f152]) ).

fof(f56425,plain,
    ~ spl15_39,
    inference(avatar_contradiction_clause,[],[f56424]) ).

fof(f56424,plain,
    ( $false
    | ~ spl15_39 ),
    inference(subsumption_resolution,[],[f56423,f239]) ).

fof(f239,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/sandbox/benchmark/theBenchmark.p',axiom_04) ).

fof(f56423,plain,
    ( ~ leq(host(sK5),nbr_proc)
    | ~ spl15_39 ),
    inference(subsumption_resolution,[],[f56395,f23902]) ).

fof(f23902,plain,
    nbr_proc != host(sK5),
    inference(subsumption_resolution,[],[f23899,f218]) ).

fof(f218,plain,
    elem(m_Down(sK6),sK2),
    inference(cnf_transformation,[],[f152]) ).

fof(f23899,plain,
    ( nbr_proc != host(sK5)
    | ~ elem(m_Down(sK6),sK2) ),
    inference(superposition,[],[f23895,f761]) ).

fof(f761,plain,
    nbr_proc = host(sK6),
    inference(subsumption_resolution,[],[f760,f239]) ).

fof(f760,plain,
    ( ~ leq(host(sK6),nbr_proc)
    | nbr_proc = host(sK6) ),
    inference(forward_demodulation,[],[f759,f341]) ).

fof(f759,plain,
    ( nbr_proc = host(sK6)
    | ~ leq(s(host(sK3)),nbr_proc) ),
    inference(forward_demodulation,[],[f755,f341]) ).

fof(f755,plain,
    ( nbr_proc = s(host(sK3))
    | ~ leq(s(host(sK3)),nbr_proc) ),
    inference(resolution,[],[f306,f339]) ).

fof(f56395,plain,
    ( nbr_proc = host(sK5)
    | ~ leq(host(sK5),nbr_proc)
    | ~ spl15_39 ),
    inference(resolution,[],[f56368,f306]) ).

fof(f56368,plain,
    ( leq(nbr_proc,host(sK5))
    | ~ spl15_39 ),
    inference(avatar_component_clause,[],[f56366]) ).

fof(f56366,plain,
    ( spl15_39
  <=> leq(nbr_proc,host(sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_39])]) ).

fof(f56422,plain,
    ~ spl15_39,
    inference(avatar_contradiction_clause,[],[f56421]) ).

fof(f56421,plain,
    ( $false
    | ~ spl15_39 ),
    inference(subsumption_resolution,[],[f56374,f23902]) ).

fof(f56374,plain,
    ( nbr_proc = host(sK5)
    | ~ spl15_39 ),
    inference(resolution,[],[f56368,f740]) ).

fof(f740,plain,
    ! [X0] :
      ( ~ leq(nbr_proc,host(X0))
      | host(X0) = nbr_proc ),
    inference(resolution,[],[f306,f239]) ).

fof(f56373,plain,
    ( spl15_39
    | spl15_40 ),
    inference(avatar_split_clause,[],[f47567,f56370,f56366]) ).

fof(f47567,plain,
    ( nbr_proc = s(host(sK5))
    | leq(nbr_proc,host(sK5)) ),
    inference(resolution,[],[f47444,f303]) ).

fof(f303,plain,
    ! [X0,X1] :
      ( ~ leq(X0,s(X1))
      | s(X1) = X0
      | 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/sandbox/benchmark/theBenchmark.p',axiom_64) ).

fof(f47444,plain,
    leq(nbr_proc,s(host(sK5))),
    inference(resolution,[],[f47442,f775]) ).

fof(f775,plain,
    ! [X0] :
      ( ~ leq(host(sK3),X0)
      | leq(nbr_proc,s(X0)) ),
    inference(superposition,[],[f427,f761]) ).

fof(f427,plain,
    ! [X0] :
      ( leq(host(sK6),s(X0))
      | ~ leq(host(sK3),X0) ),
    inference(superposition,[],[f283,f341]) ).

fof(f283,plain,
    ! [X0,X1] :
      ( leq(s(X0),s(X1))
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f53335,plain,
    ( spl15_37
    | spl15_38 ),
    inference(avatar_split_clause,[],[f4921,f53333,f52676]) ).

fof(f52676,plain,
    ( spl15_37
  <=> ! [X2,X1] :
        ( ~ leq(host(X1),host(sK3))
        | ~ elem(m_Ack(X1,X2),queue(host(X1)))
        | ~ setIn(X1,alive)
        | elec_2 != index(status,host(X1))
        | host(X2) != host(sK3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_37])]) ).

fof(f53333,plain,
    ( spl15_38
  <=> ! [X2] :
        ( sK9 = sK11(X2,sK3)
        | ~ leq(s(zero),sK11(X2,sK3))
        | leq(host(sK3),sK11(X2,sK3))
        | host(sK4) = sK11(X2,sK3)
        | ~ elem(m_Down(X2),queue(host(sK3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_38])]) ).

fof(f4921,plain,
    ! [X2,X0,X1] :
      ( sK9 = sK11(X2,sK3)
      | elec_2 != index(status,host(X0))
      | host(X1) != host(sK3)
      | ~ elem(m_Down(X2),queue(host(sK3)))
      | ~ leq(host(X0),host(sK3))
      | ~ setIn(X0,alive)
      | ~ elem(m_Ack(X0,X1),queue(host(X0)))
      | host(sK4) = sK11(X2,sK3)
      | leq(host(sK3),sK11(X2,sK3))
      | ~ leq(s(zero),sK11(X2,sK3)) ),
    inference(forward_demodulation,[],[f4920,f2759]) ).

fof(f4920,plain,
    ! [X2,X0,X1] :
      ( elec_2 != index(status,host(X0))
      | host(X1) != host(sK3)
      | ~ elem(m_Down(X2),queue(host(sK3)))
      | ~ leq(host(X0),host(sK3))
      | ~ setIn(X0,alive)
      | ~ elem(m_Ack(X0,X1),queue(host(X0)))
      | host(sK7) = sK11(X2,sK3)
      | host(sK4) = sK11(X2,sK3)
      | leq(host(sK3),sK11(X2,sK3))
      | ~ leq(s(zero),sK11(X2,sK3)) ),
    inference(subsumption_resolution,[],[f4916,f342]) ).

fof(f4916,plain,
    ! [X2,X0,X1] :
      ( elec_1 != index(status,host(sK3))
      | elec_2 != index(status,host(X0))
      | host(X1) != host(sK3)
      | ~ elem(m_Down(X2),queue(host(sK3)))
      | ~ leq(host(X0),host(sK3))
      | ~ setIn(X0,alive)
      | ~ elem(m_Ack(X0,X1),queue(host(X0)))
      | host(sK7) = sK11(X2,sK3)
      | host(sK4) = sK11(X2,sK3)
      | leq(host(sK3),sK11(X2,sK3))
      | ~ leq(s(zero),sK11(X2,sK3)) ),
    inference(resolution,[],[f200,f2743]) ).

fof(f200,plain,
    ! [X16,X14,X17,X15] :
      ( ~ setIn(sK11(X16,X17),index(down,host(X17)))
      | elec_1 != index(status,host(X17))
      | elec_2 != index(status,host(X14))
      | host(X15) != host(X17)
      | ~ elem(m_Down(X16),queue(host(X17)))
      | ~ leq(host(X14),host(X17))
      | ~ setIn(X14,alive)
      | ~ elem(m_Ack(X14,X15),queue(host(X14))) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f52678,plain,
    ( spl15_36
    | spl15_37 ),
    inference(avatar_split_clause,[],[f4927,f52676,f52673]) ).

fof(f52673,plain,
    ( spl15_36
  <=> ! [X0] :
        ( ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ setIn(sK11(X0,sK3),index(down,host(sK3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_36])]) ).

fof(f4927,plain,
    ! [X2,X0,X1] :
      ( ~ leq(host(X1),host(sK3))
      | ~ elem(m_Down(X0),queue(host(sK3)))
      | host(X2) != host(sK3)
      | ~ setIn(sK11(X0,sK3),index(down,host(sK3)))
      | elec_2 != index(status,host(X1))
      | ~ setIn(X1,alive)
      | ~ elem(m_Ack(X1,X2),queue(host(X1))) ),
    inference(forward_demodulation,[],[f4926,f215]) ).

fof(f4926,plain,
    ! [X2,X0,X1] :
      ( ~ elem(m_Down(X0),queue(host(sK3)))
      | host(X2) != host(sK3)
      | ~ setIn(sK11(X0,sK3),index(down,host(sK3)))
      | elec_2 != index(status,host(X1))
      | ~ leq(host(X1),host(sK8))
      | ~ setIn(X1,alive)
      | ~ elem(m_Ack(X1,X2),queue(host(X1))) ),
    inference(forward_demodulation,[],[f4925,f215]) ).

fof(f4925,plain,
    ! [X2,X0,X1] :
      ( host(X2) != host(sK3)
      | ~ setIn(sK11(X0,sK3),index(down,host(sK3)))
      | elec_2 != index(status,host(X1))
      | ~ elem(m_Down(X0),queue(host(sK8)))
      | ~ leq(host(X1),host(sK8))
      | ~ setIn(X1,alive)
      | ~ elem(m_Ack(X1,X2),queue(host(X1))) ),
    inference(forward_demodulation,[],[f4924,f215]) ).

fof(f4924,plain,
    ! [X2,X0,X1] :
      ( ~ setIn(sK11(X0,sK3),index(down,host(sK3)))
      | elec_2 != index(status,host(X1))
      | host(X2) != host(sK8)
      | ~ elem(m_Down(X0),queue(host(sK8)))
      | ~ leq(host(X1),host(sK8))
      | ~ setIn(X1,alive)
      | ~ elem(m_Ack(X1,X2),queue(host(X1))) ),
    inference(subsumption_resolution,[],[f4923,f342]) ).

fof(f4923,plain,
    ! [X2,X0,X1] :
      ( elec_1 != index(status,host(sK3))
      | ~ setIn(sK11(X0,sK3),index(down,host(sK3)))
      | elec_2 != index(status,host(X1))
      | host(X2) != host(sK8)
      | ~ elem(m_Down(X0),queue(host(sK8)))
      | ~ leq(host(X1),host(sK8))
      | ~ setIn(X1,alive)
      | ~ elem(m_Ack(X1,X2),queue(host(X1))) ),
    inference(forward_demodulation,[],[f4922,f215]) ).

fof(f4922,plain,
    ! [X2,X0,X1] :
      ( ~ setIn(sK11(X0,sK3),index(down,host(sK3)))
      | elec_1 != index(status,host(sK8))
      | elec_2 != index(status,host(X1))
      | host(X2) != host(sK8)
      | ~ elem(m_Down(X0),queue(host(sK8)))
      | ~ leq(host(X1),host(sK8))
      | ~ setIn(X1,alive)
      | ~ elem(m_Ack(X1,X2),queue(host(X1))) ),
    inference(forward_demodulation,[],[f4917,f2341]) ).

fof(f2341,plain,
    sK3 = sK8,
    inference(superposition,[],[f2340,f2338]) ).

fof(f2338,plain,
    index(elid,host(sK3)) = sK8,
    inference(forward_demodulation,[],[f2337,f215]) ).

fof(f2337,plain,
    sK8 = index(elid,host(sK8)),
    inference(subsumption_resolution,[],[f2336,f217]) ).

fof(f217,plain,
    setIn(sK8,alive),
    inference(cnf_transformation,[],[f152]) ).

fof(f2336,plain,
    ( ~ setIn(sK8,alive)
    | sK8 = index(elid,host(sK8)) ),
    inference(subsumption_resolution,[],[f2331,f342]) ).

fof(f2331,plain,
    ( elec_1 != index(status,host(sK3))
    | ~ setIn(sK8,alive)
    | sK8 = index(elid,host(sK8)) ),
    inference(superposition,[],[f186,f215]) ).

fof(f186,plain,
    ! [X48] :
      ( elec_1 != index(status,host(X48))
      | ~ setIn(X48,alive)
      | index(elid,host(X48)) = X48 ),
    inference(cnf_transformation,[],[f152]) ).

fof(f2340,plain,
    sK3 = index(elid,host(sK3)),
    inference(subsumption_resolution,[],[f2335,f207]) ).

fof(f2335,plain,
    ( ~ setIn(sK3,alive)
    | sK3 = index(elid,host(sK3)) ),
    inference(trivial_inequality_removal,[],[f2334]) ).

fof(f2334,plain,
    ( elec_1 != elec_1
    | ~ setIn(sK3,alive)
    | sK3 = index(elid,host(sK3)) ),
    inference(superposition,[],[f186,f342]) ).

fof(f4917,plain,
    ! [X2,X0,X1] :
      ( ~ setIn(sK11(X0,sK8),index(down,host(sK3)))
      | elec_1 != index(status,host(sK8))
      | elec_2 != index(status,host(X1))
      | host(X2) != host(sK8)
      | ~ elem(m_Down(X0),queue(host(sK8)))
      | ~ leq(host(X1),host(sK8))
      | ~ setIn(X1,alive)
      | ~ elem(m_Ack(X1,X2),queue(host(X1))) ),
    inference(superposition,[],[f200,f215]) ).

fof(f52152,plain,
    ( spl15_29
    | spl15_35
    | ~ spl15_23
    | ~ spl15_28
    | ~ spl15_30 ),
    inference(avatar_split_clause,[],[f51991,f37487,f37451,f6445,f52150,f37454]) ).

fof(f37454,plain,
    ( spl15_29
  <=> ! [X1] :
        ( nbr_proc != host(X1)
        | ~ elem(m_Down(X1),queue(host(sK3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_29])]) ).

fof(f52150,plain,
    ( spl15_35
  <=> ! [X0] :
        ( sK9 = sK10(X0,sK3)
        | host(sK4) = sK10(X0,sK3)
        | ~ elem(m_Down(X0),queue(host(sK3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_35])]) ).

fof(f6445,plain,
    ( spl15_23
  <=> ! [X11,X12,X10] :
        ( elec_1 != index(status,host(X12))
        | ~ setIn(sK10(X11,X12),index(down,host(X12)))
        | ~ setIn(X12,alive)
        | ~ leq(nbr_proc,s(host(X12)))
        | ~ elem(m_Down(X11),queue(host(X12)))
        | ~ elem(m_Down(X10),queue(host(X12)))
        | host(X10) != s(host(X12)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).

fof(f37451,plain,
    ( spl15_28
  <=> ! [X0] :
        ( ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ leq(host(sK3),sK10(X0,sK3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_28])]) ).

fof(f37487,plain,
    ( spl15_30
  <=> ! [X0] :
        ( leq(s(zero),sK10(X0,sK3))
        | ~ elem(m_Down(X0),queue(host(sK3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_30])]) ).

fof(f51991,plain,
    ( ! [X0,X1] :
        ( sK9 = sK10(X0,sK3)
        | nbr_proc != host(X1)
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ elem(m_Down(X1),queue(host(sK3)))
        | host(sK4) = sK10(X0,sK3) )
    | ~ spl15_23
    | ~ spl15_28
    | ~ spl15_30 ),
    inference(subsumption_resolution,[],[f51990,f37488]) ).

fof(f37488,plain,
    ( ! [X0] :
        ( leq(s(zero),sK10(X0,sK3))
        | ~ elem(m_Down(X0),queue(host(sK3))) )
    | ~ spl15_30 ),
    inference(avatar_component_clause,[],[f37487]) ).

fof(f51990,plain,
    ( ! [X0,X1] :
        ( sK9 = sK10(X0,sK3)
        | nbr_proc != host(X1)
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ elem(m_Down(X1),queue(host(sK3)))
        | host(sK4) = sK10(X0,sK3)
        | ~ leq(s(zero),sK10(X0,sK3)) )
    | ~ spl15_23
    | ~ spl15_28 ),
    inference(subsumption_resolution,[],[f6594,f37452]) ).

fof(f37452,plain,
    ( ! [X0] :
        ( ~ leq(host(sK3),sK10(X0,sK3))
        | ~ elem(m_Down(X0),queue(host(sK3))) )
    | ~ spl15_28 ),
    inference(avatar_component_clause,[],[f37451]) ).

fof(f6594,plain,
    ( ! [X0,X1] :
        ( sK9 = sK10(X0,sK3)
        | nbr_proc != host(X1)
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ elem(m_Down(X1),queue(host(sK3)))
        | host(sK4) = sK10(X0,sK3)
        | leq(host(sK3),sK10(X0,sK3))
        | ~ leq(s(zero),sK10(X0,sK3)) )
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f6593,f2759]) ).

fof(f6593,plain,
    ( ! [X0,X1] :
        ( nbr_proc != host(X1)
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ elem(m_Down(X1),queue(host(sK3)))
        | host(sK7) = sK10(X0,sK3)
        | host(sK4) = sK10(X0,sK3)
        | leq(host(sK3),sK10(X0,sK3))
        | ~ leq(s(zero),sK10(X0,sK3)) )
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f6592,f761]) ).

fof(f6592,plain,
    ( ! [X0,X1] :
        ( host(X1) != host(sK6)
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ elem(m_Down(X1),queue(host(sK3)))
        | host(sK7) = sK10(X0,sK3)
        | host(sK4) = sK10(X0,sK3)
        | leq(host(sK3),sK10(X0,sK3))
        | ~ leq(s(zero),sK10(X0,sK3)) )
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f6591,f341]) ).

fof(f6591,plain,
    ( ! [X0,X1] :
        ( ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ elem(m_Down(X1),queue(host(sK3)))
        | host(X1) != s(host(sK3))
        | host(sK7) = sK10(X0,sK3)
        | host(sK4) = sK10(X0,sK3)
        | leq(host(sK3),sK10(X0,sK3))
        | ~ leq(s(zero),sK10(X0,sK3)) )
    | ~ spl15_23 ),
    inference(subsumption_resolution,[],[f6590,f339]) ).

fof(f6590,plain,
    ( ! [X0,X1] :
        ( ~ leq(nbr_proc,s(host(sK3)))
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ elem(m_Down(X1),queue(host(sK3)))
        | host(X1) != s(host(sK3))
        | host(sK7) = sK10(X0,sK3)
        | host(sK4) = sK10(X0,sK3)
        | leq(host(sK3),sK10(X0,sK3))
        | ~ leq(s(zero),sK10(X0,sK3)) )
    | ~ spl15_23 ),
    inference(subsumption_resolution,[],[f6589,f207]) ).

fof(f6589,plain,
    ( ! [X0,X1] :
        ( ~ setIn(sK3,alive)
        | ~ leq(nbr_proc,s(host(sK3)))
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ elem(m_Down(X1),queue(host(sK3)))
        | host(X1) != s(host(sK3))
        | host(sK7) = sK10(X0,sK3)
        | host(sK4) = sK10(X0,sK3)
        | leq(host(sK3),sK10(X0,sK3))
        | ~ leq(s(zero),sK10(X0,sK3)) )
    | ~ spl15_23 ),
    inference(subsumption_resolution,[],[f6585,f342]) ).

fof(f6585,plain,
    ( ! [X0,X1] :
        ( elec_1 != index(status,host(sK3))
        | ~ setIn(sK3,alive)
        | ~ leq(nbr_proc,s(host(sK3)))
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ elem(m_Down(X1),queue(host(sK3)))
        | host(X1) != s(host(sK3))
        | host(sK7) = sK10(X0,sK3)
        | host(sK4) = sK10(X0,sK3)
        | leq(host(sK3),sK10(X0,sK3))
        | ~ leq(s(zero),sK10(X0,sK3)) )
    | ~ spl15_23 ),
    inference(resolution,[],[f6446,f2743]) ).

fof(f6446,plain,
    ( ! [X10,X11,X12] :
        ( ~ setIn(sK10(X11,X12),index(down,host(X12)))
        | elec_1 != index(status,host(X12))
        | ~ setIn(X12,alive)
        | ~ leq(nbr_proc,s(host(X12)))
        | ~ elem(m_Down(X11),queue(host(X12)))
        | ~ elem(m_Down(X10),queue(host(X12)))
        | host(X10) != s(host(X12)) )
    | ~ spl15_23 ),
    inference(avatar_component_clause,[],[f6445]) ).

fof(f41345,plain,
    ( spl15_33
    | ~ spl15_34
    | ~ spl15_25 ),
    inference(avatar_split_clause,[],[f11172,f11067,f41342,f41338]) ).

fof(f41338,plain,
    ( spl15_33
  <=> leq(nbr_proc,s(s(sK9))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_33])]) ).

fof(f41342,plain,
    ( spl15_34
  <=> leq(host(sK3),s(zero)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_34])]) ).

fof(f11067,plain,
    ( spl15_25
  <=> leq(s(zero),s(sK9)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_25])]) ).

fof(f11172,plain,
    ( ~ leq(host(sK3),s(zero))
    | leq(nbr_proc,s(s(sK9)))
    | ~ spl15_25 ),
    inference(resolution,[],[f11131,f775]) ).

fof(f11131,plain,
    ( ! [X0] :
        ( leq(X0,s(sK9))
        | ~ leq(X0,s(zero)) )
    | ~ spl15_25 ),
    inference(resolution,[],[f11069,f316]) ).

fof(f316,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/sandbox/benchmark/theBenchmark.p',axiom_62) ).

fof(f11069,plain,
    ( leq(s(zero),s(sK9))
    | ~ spl15_25 ),
    inference(avatar_component_clause,[],[f11067]) ).

fof(f38270,plain,
    ( spl15_32
    | spl15_29
    | ~ spl15_23 ),
    inference(avatar_split_clause,[],[f6605,f6445,f37454,f38268]) ).

fof(f38268,plain,
    ( spl15_32
  <=> ! [X0] :
        ( ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ setIn(sK10(X0,sK3),index(down,host(sK3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_32])]) ).

fof(f6605,plain,
    ( ! [X0,X1] :
        ( nbr_proc != host(X1)
        | ~ elem(m_Down(X1),queue(host(sK3)))
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ setIn(sK10(X0,sK3),index(down,host(sK3))) )
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f6604,f761]) ).

fof(f6604,plain,
    ( ! [X0,X1] :
        ( host(X1) != host(sK6)
        | ~ elem(m_Down(X1),queue(host(sK3)))
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ setIn(sK10(X0,sK3),index(down,host(sK3))) )
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f6603,f341]) ).

fof(f6603,plain,
    ( ! [X0,X1] :
        ( host(X1) != s(host(sK3))
        | ~ elem(m_Down(X1),queue(host(sK3)))
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ setIn(sK10(X0,sK3),index(down,host(sK3))) )
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f6602,f215]) ).

fof(f6602,plain,
    ( ! [X0,X1] :
        ( ~ elem(m_Down(X1),queue(host(sK3)))
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ setIn(sK10(X0,sK3),index(down,host(sK3)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f6601,f215]) ).

fof(f6601,plain,
    ( ! [X0,X1] :
        ( ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ setIn(sK10(X0,sK3),index(down,host(sK3)))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f6600,f215]) ).

fof(f6600,plain,
    ( ! [X0,X1] :
        ( ~ setIn(sK10(X0,sK3),index(down,host(sK3)))
        | ~ elem(m_Down(X0),queue(host(sK8)))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_23 ),
    inference(subsumption_resolution,[],[f6599,f339]) ).

fof(f6599,plain,
    ( ! [X0,X1] :
        ( ~ leq(nbr_proc,s(host(sK3)))
        | ~ setIn(sK10(X0,sK3),index(down,host(sK3)))
        | ~ elem(m_Down(X0),queue(host(sK8)))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f6598,f215]) ).

fof(f6598,plain,
    ( ! [X0,X1] :
        ( ~ setIn(sK10(X0,sK3),index(down,host(sK3)))
        | ~ leq(nbr_proc,s(host(sK8)))
        | ~ elem(m_Down(X0),queue(host(sK8)))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_23 ),
    inference(subsumption_resolution,[],[f6597,f342]) ).

fof(f6597,plain,
    ( ! [X0,X1] :
        ( elec_1 != index(status,host(sK3))
        | ~ setIn(sK10(X0,sK3),index(down,host(sK3)))
        | ~ leq(nbr_proc,s(host(sK8)))
        | ~ elem(m_Down(X0),queue(host(sK8)))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f6596,f215]) ).

fof(f6596,plain,
    ( ! [X0,X1] :
        ( ~ setIn(sK10(X0,sK3),index(down,host(sK3)))
        | elec_1 != index(status,host(sK8))
        | ~ leq(nbr_proc,s(host(sK8)))
        | ~ elem(m_Down(X0),queue(host(sK8)))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_23 ),
    inference(forward_demodulation,[],[f6595,f2341]) ).

fof(f6595,plain,
    ( ! [X0,X1] :
        ( ~ setIn(sK10(X0,sK8),index(down,host(sK3)))
        | elec_1 != index(status,host(sK8))
        | ~ leq(nbr_proc,s(host(sK8)))
        | ~ elem(m_Down(X0),queue(host(sK8)))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_23 ),
    inference(subsumption_resolution,[],[f6586,f217]) ).

fof(f6586,plain,
    ( ! [X0,X1] :
        ( ~ setIn(sK10(X0,sK8),index(down,host(sK3)))
        | elec_1 != index(status,host(sK8))
        | ~ setIn(sK8,alive)
        | ~ leq(nbr_proc,s(host(sK8)))
        | ~ elem(m_Down(X0),queue(host(sK8)))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_23 ),
    inference(superposition,[],[f6446,f215]) ).

fof(f37626,plain,
    ( spl15_31
    | spl15_29
    | ~ spl15_22 ),
    inference(avatar_split_clause,[],[f6398,f6360,f37454,f37624]) ).

fof(f37624,plain,
    ( spl15_31
  <=> ! [X0] :
        ( host(X0) != sK10(X0,sK3)
        | ~ elem(m_Down(X0),queue(host(sK3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_31])]) ).

fof(f6360,plain,
    ( spl15_22
  <=> ! [X11,X12,X10] :
        ( elec_1 != index(status,host(X12))
        | host(X11) != sK10(X11,X12)
        | ~ setIn(X12,alive)
        | ~ leq(nbr_proc,s(host(X12)))
        | ~ elem(m_Down(X11),queue(host(X12)))
        | ~ elem(m_Down(X10),queue(host(X12)))
        | host(X10) != s(host(X12)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).

fof(f6398,plain,
    ( ! [X0,X1] :
        ( nbr_proc != host(X1)
        | ~ elem(m_Down(X1),queue(host(sK3)))
        | host(X0) != sK10(X0,sK3)
        | ~ elem(m_Down(X0),queue(host(sK3))) )
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f6397,f761]) ).

fof(f6397,plain,
    ( ! [X0,X1] :
        ( host(X1) != host(sK6)
        | ~ elem(m_Down(X1),queue(host(sK3)))
        | host(X0) != sK10(X0,sK3)
        | ~ elem(m_Down(X0),queue(host(sK3))) )
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f6396,f341]) ).

fof(f6396,plain,
    ( ! [X0,X1] :
        ( host(X1) != s(host(sK3))
        | ~ elem(m_Down(X1),queue(host(sK3)))
        | host(X0) != sK10(X0,sK3)
        | ~ elem(m_Down(X0),queue(host(sK3))) )
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f6395,f215]) ).

fof(f6395,plain,
    ( ! [X0,X1] :
        ( ~ elem(m_Down(X1),queue(host(sK3)))
        | host(X0) != sK10(X0,sK3)
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f6394,f215]) ).

fof(f6394,plain,
    ( ! [X0,X1] :
        ( host(X0) != sK10(X0,sK3)
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_22 ),
    inference(subsumption_resolution,[],[f6393,f342]) ).

fof(f6393,plain,
    ( ! [X0,X1] :
        ( elec_1 != index(status,host(sK3))
        | host(X0) != sK10(X0,sK3)
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f6392,f215]) ).

fof(f6392,plain,
    ( ! [X0,X1] :
        ( host(X0) != sK10(X0,sK3)
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | elec_1 != index(status,host(sK8))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_22 ),
    inference(subsumption_resolution,[],[f6391,f339]) ).

fof(f6391,plain,
    ( ! [X0,X1] :
        ( ~ leq(nbr_proc,s(host(sK3)))
        | host(X0) != sK10(X0,sK3)
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | elec_1 != index(status,host(sK8))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f6390,f215]) ).

fof(f6390,plain,
    ( ! [X0,X1] :
        ( host(X0) != sK10(X0,sK3)
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ leq(nbr_proc,s(host(sK8)))
        | elec_1 != index(status,host(sK8))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_22 ),
    inference(forward_demodulation,[],[f6389,f2341]) ).

fof(f6389,plain,
    ( ! [X0,X1] :
        ( ~ elem(m_Down(X0),queue(host(sK3)))
        | host(X0) != sK10(X0,sK8)
        | ~ leq(nbr_proc,s(host(sK8)))
        | elec_1 != index(status,host(sK8))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_22 ),
    inference(subsumption_resolution,[],[f6376,f217]) ).

fof(f6376,plain,
    ( ! [X0,X1] :
        ( ~ elem(m_Down(X0),queue(host(sK3)))
        | host(X0) != sK10(X0,sK8)
        | ~ setIn(sK8,alive)
        | ~ leq(nbr_proc,s(host(sK8)))
        | elec_1 != index(status,host(sK8))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_22 ),
    inference(superposition,[],[f6361,f215]) ).

fof(f6361,plain,
    ( ! [X10,X11,X12] :
        ( ~ elem(m_Down(X11),queue(host(X12)))
        | host(X11) != sK10(X11,X12)
        | ~ setIn(X12,alive)
        | ~ leq(nbr_proc,s(host(X12)))
        | elec_1 != index(status,host(X12))
        | ~ elem(m_Down(X10),queue(host(X12)))
        | host(X10) != s(host(X12)) )
    | ~ spl15_22 ),
    inference(avatar_component_clause,[],[f6360]) ).

fof(f37498,plain,
    ~ spl15_29,
    inference(avatar_contradiction_clause,[],[f37497]) ).

fof(f37497,plain,
    ( $false
    | ~ spl15_29 ),
    inference(subsumption_resolution,[],[f37494,f761]) ).

fof(f37494,plain,
    ( nbr_proc != host(sK6)
    | ~ spl15_29 ),
    inference(resolution,[],[f37491,f218]) ).

fof(f37491,plain,
    ( ! [X0] :
        ( ~ elem(m_Down(X0),sK2)
        | host(X0) != nbr_proc )
    | ~ spl15_29 ),
    inference(resolution,[],[f37455,f535]) ).

fof(f37455,plain,
    ( ! [X1] :
        ( ~ elem(m_Down(X1),queue(host(sK3)))
        | nbr_proc != host(X1) )
    | ~ spl15_29 ),
    inference(avatar_component_clause,[],[f37454]) ).

fof(f37489,plain,
    ( spl15_30
    | spl15_29
    | ~ spl15_21 ),
    inference(avatar_split_clause,[],[f5587,f5372,f37454,f37487]) ).

fof(f5372,plain,
    ( spl15_21
  <=> ! [X11,X12,X10] :
        ( elec_1 != index(status,host(X12))
        | leq(s(zero),sK10(X11,X12))
        | ~ setIn(X12,alive)
        | ~ leq(nbr_proc,s(host(X12)))
        | ~ elem(m_Down(X11),queue(host(X12)))
        | ~ elem(m_Down(X10),queue(host(X12)))
        | host(X10) != s(host(X12)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).

fof(f5587,plain,
    ( ! [X0,X1] :
        ( nbr_proc != host(X1)
        | ~ elem(m_Down(X1),queue(host(sK3)))
        | leq(s(zero),sK10(X0,sK3))
        | ~ elem(m_Down(X0),queue(host(sK3))) )
    | ~ spl15_21 ),
    inference(forward_demodulation,[],[f5586,f761]) ).

fof(f5586,plain,
    ( ! [X0,X1] :
        ( host(X1) != host(sK6)
        | ~ elem(m_Down(X1),queue(host(sK3)))
        | leq(s(zero),sK10(X0,sK3))
        | ~ elem(m_Down(X0),queue(host(sK3))) )
    | ~ spl15_21 ),
    inference(forward_demodulation,[],[f5585,f341]) ).

fof(f5585,plain,
    ( ! [X0,X1] :
        ( host(X1) != s(host(sK3))
        | ~ elem(m_Down(X1),queue(host(sK3)))
        | leq(s(zero),sK10(X0,sK3))
        | ~ elem(m_Down(X0),queue(host(sK3))) )
    | ~ spl15_21 ),
    inference(forward_demodulation,[],[f5584,f215]) ).

fof(f5584,plain,
    ( ! [X0,X1] :
        ( ~ elem(m_Down(X1),queue(host(sK3)))
        | leq(s(zero),sK10(X0,sK3))
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_21 ),
    inference(forward_demodulation,[],[f5583,f215]) ).

fof(f5583,plain,
    ( ! [X0,X1] :
        ( leq(s(zero),sK10(X0,sK3))
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_21 ),
    inference(subsumption_resolution,[],[f5582,f342]) ).

fof(f5582,plain,
    ( ! [X0,X1] :
        ( elec_1 != index(status,host(sK3))
        | leq(s(zero),sK10(X0,sK3))
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_21 ),
    inference(forward_demodulation,[],[f5581,f215]) ).

fof(f5581,plain,
    ( ! [X0,X1] :
        ( leq(s(zero),sK10(X0,sK3))
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | elec_1 != index(status,host(sK8))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_21 ),
    inference(subsumption_resolution,[],[f5580,f339]) ).

fof(f5580,plain,
    ( ! [X0,X1] :
        ( ~ leq(nbr_proc,s(host(sK3)))
        | leq(s(zero),sK10(X0,sK3))
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | elec_1 != index(status,host(sK8))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_21 ),
    inference(forward_demodulation,[],[f5579,f215]) ).

fof(f5579,plain,
    ( ! [X0,X1] :
        ( leq(s(zero),sK10(X0,sK3))
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ leq(nbr_proc,s(host(sK8)))
        | elec_1 != index(status,host(sK8))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_21 ),
    inference(forward_demodulation,[],[f5578,f2341]) ).

fof(f5578,plain,
    ( ! [X0,X1] :
        ( ~ elem(m_Down(X0),queue(host(sK3)))
        | leq(s(zero),sK10(X0,sK8))
        | ~ leq(nbr_proc,s(host(sK8)))
        | elec_1 != index(status,host(sK8))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_21 ),
    inference(subsumption_resolution,[],[f5565,f217]) ).

fof(f5565,plain,
    ( ! [X0,X1] :
        ( ~ elem(m_Down(X0),queue(host(sK3)))
        | leq(s(zero),sK10(X0,sK8))
        | ~ setIn(sK8,alive)
        | ~ leq(nbr_proc,s(host(sK8)))
        | elec_1 != index(status,host(sK8))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_21 ),
    inference(superposition,[],[f5373,f215]) ).

fof(f5373,plain,
    ( ! [X10,X11,X12] :
        ( ~ elem(m_Down(X11),queue(host(X12)))
        | leq(s(zero),sK10(X11,X12))
        | ~ setIn(X12,alive)
        | ~ leq(nbr_proc,s(host(X12)))
        | elec_1 != index(status,host(X12))
        | ~ elem(m_Down(X10),queue(host(X12)))
        | host(X10) != s(host(X12)) )
    | ~ spl15_21 ),
    inference(avatar_component_clause,[],[f5372]) ).

fof(f37456,plain,
    ( spl15_28
    | spl15_29
    | ~ spl15_19 ),
    inference(avatar_split_clause,[],[f5349,f5206,f37454,f37451]) ).

fof(f5206,plain,
    ( spl15_19
  <=> ! [X11,X12,X10] :
        ( elec_1 != index(status,host(X12))
        | ~ leq(host(X12),sK10(X11,X12))
        | ~ setIn(X12,alive)
        | ~ leq(nbr_proc,s(host(X12)))
        | ~ elem(m_Down(X11),queue(host(X12)))
        | ~ elem(m_Down(X10),queue(host(X12)))
        | host(X10) != s(host(X12)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).

fof(f5349,plain,
    ( ! [X0,X1] :
        ( nbr_proc != host(X1)
        | ~ elem(m_Down(X1),queue(host(sK3)))
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ leq(host(sK3),sK10(X0,sK3)) )
    | ~ spl15_19 ),
    inference(forward_demodulation,[],[f5348,f761]) ).

fof(f5348,plain,
    ( ! [X0,X1] :
        ( host(X1) != host(sK6)
        | ~ elem(m_Down(X1),queue(host(sK3)))
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ leq(host(sK3),sK10(X0,sK3)) )
    | ~ spl15_19 ),
    inference(forward_demodulation,[],[f5347,f341]) ).

fof(f5347,plain,
    ( ! [X0,X1] :
        ( host(X1) != s(host(sK3))
        | ~ elem(m_Down(X1),queue(host(sK3)))
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ leq(host(sK3),sK10(X0,sK3)) )
    | ~ spl15_19 ),
    inference(forward_demodulation,[],[f5346,f215]) ).

fof(f5346,plain,
    ( ! [X0,X1] :
        ( ~ elem(m_Down(X1),queue(host(sK3)))
        | ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ leq(host(sK3),sK10(X0,sK3))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_19 ),
    inference(forward_demodulation,[],[f5345,f215]) ).

fof(f5345,plain,
    ( ! [X0,X1] :
        ( ~ elem(m_Down(X0),queue(host(sK3)))
        | ~ leq(host(sK3),sK10(X0,sK3))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_19 ),
    inference(forward_demodulation,[],[f5344,f215]) ).

fof(f5344,plain,
    ( ! [X0,X1] :
        ( ~ leq(host(sK3),sK10(X0,sK3))
        | ~ elem(m_Down(X0),queue(host(sK8)))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_19 ),
    inference(subsumption_resolution,[],[f5343,f339]) ).

fof(f5343,plain,
    ( ! [X0,X1] :
        ( ~ leq(nbr_proc,s(host(sK3)))
        | ~ leq(host(sK3),sK10(X0,sK3))
        | ~ elem(m_Down(X0),queue(host(sK8)))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_19 ),
    inference(forward_demodulation,[],[f5342,f215]) ).

fof(f5342,plain,
    ( ! [X0,X1] :
        ( ~ leq(host(sK3),sK10(X0,sK3))
        | ~ leq(nbr_proc,s(host(sK8)))
        | ~ elem(m_Down(X0),queue(host(sK8)))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_19 ),
    inference(subsumption_resolution,[],[f5341,f342]) ).

fof(f5341,plain,
    ( ! [X0,X1] :
        ( elec_1 != index(status,host(sK3))
        | ~ leq(host(sK3),sK10(X0,sK3))
        | ~ leq(nbr_proc,s(host(sK8)))
        | ~ elem(m_Down(X0),queue(host(sK8)))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_19 ),
    inference(forward_demodulation,[],[f5340,f215]) ).

fof(f5340,plain,
    ( ! [X0,X1] :
        ( ~ leq(host(sK3),sK10(X0,sK3))
        | elec_1 != index(status,host(sK8))
        | ~ leq(nbr_proc,s(host(sK8)))
        | ~ elem(m_Down(X0),queue(host(sK8)))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_19 ),
    inference(forward_demodulation,[],[f5339,f2341]) ).

fof(f5339,plain,
    ( ! [X0,X1] :
        ( ~ leq(host(sK3),sK10(X0,sK8))
        | elec_1 != index(status,host(sK8))
        | ~ leq(nbr_proc,s(host(sK8)))
        | ~ elem(m_Down(X0),queue(host(sK8)))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_19 ),
    inference(subsumption_resolution,[],[f5310,f217]) ).

fof(f5310,plain,
    ( ! [X0,X1] :
        ( ~ leq(host(sK3),sK10(X0,sK8))
        | elec_1 != index(status,host(sK8))
        | ~ setIn(sK8,alive)
        | ~ leq(nbr_proc,s(host(sK8)))
        | ~ elem(m_Down(X0),queue(host(sK8)))
        | ~ elem(m_Down(X1),queue(host(sK8)))
        | host(X1) != s(host(sK8)) )
    | ~ spl15_19 ),
    inference(superposition,[],[f5207,f215]) ).

fof(f5207,plain,
    ( ! [X10,X11,X12] :
        ( ~ leq(host(X12),sK10(X11,X12))
        | elec_1 != index(status,host(X12))
        | ~ setIn(X12,alive)
        | ~ leq(nbr_proc,s(host(X12)))
        | ~ elem(m_Down(X11),queue(host(X12)))
        | ~ elem(m_Down(X10),queue(host(X12)))
        | host(X10) != s(host(X12)) )
    | ~ spl15_19 ),
    inference(avatar_component_clause,[],[f5206]) ).

fof(f36911,plain,
    ( ~ spl15_26
    | spl15_27
    | ~ spl15_25 ),
    inference(avatar_split_clause,[],[f11130,f11067,f36908,f36904]) ).

fof(f36904,plain,
    ( spl15_26
  <=> leq(s(sK9),s(zero)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).

fof(f36908,plain,
    ( spl15_27
  <=> s(zero) = s(sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_27])]) ).

fof(f11130,plain,
    ( s(zero) = s(sK9)
    | ~ leq(s(sK9),s(zero))
    | ~ spl15_25 ),
    inference(resolution,[],[f11069,f306]) ).

fof(f11122,plain,
    spl15_25,
    inference(avatar_contradiction_clause,[],[f11121]) ).

fof(f11121,plain,
    ( $false
    | spl15_25 ),
    inference(subsumption_resolution,[],[f11107,f402]) ).

fof(f11107,plain,
    ( ~ leq(s(zero),sK9)
    | spl15_25 ),
    inference(resolution,[],[f11068,f305]) ).

fof(f305,plain,
    ! [X0,X1] :
      ( leq(X0,s(X1))
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f11068,plain,
    ( ~ leq(s(zero),s(sK9))
    | spl15_25 ),
    inference(avatar_component_clause,[],[f11067]) ).

fof(f11120,plain,
    ( spl15_7
    | spl15_25 ),
    inference(avatar_contradiction_clause,[],[f11119]) ).

fof(f11119,plain,
    ( $false
    | spl15_7
    | spl15_25 ),
    inference(subsumption_resolution,[],[f11106,f1442]) ).

fof(f1442,plain,
    ( ~ leq(sK9,s(zero))
    | spl15_7 ),
    inference(avatar_component_clause,[],[f1440]) ).

fof(f1440,plain,
    ( spl15_7
  <=> leq(sK9,s(zero)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).

fof(f11106,plain,
    ( leq(sK9,s(zero))
    | spl15_25 ),
    inference(resolution,[],[f11068,f504]) ).

fof(f504,plain,
    ! [X0,X1] :
      ( leq(X1,s(X0))
      | leq(X0,X1) ),
    inference(resolution,[],[f432,f267]) ).

fof(f267,plain,
    ! [X0,X1] :
      ( leq(X1,X0)
      | leq(X0,X1) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( leq(X1,X0)
      | leq(X0,X1) ),
    inference(rectify,[],[f61]) ).

fof(f61,axiom,
    ! [X4,X5] :
      ( leq(X5,X4)
      | leq(X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).

fof(f432,plain,
    ! [X0,X1] :
      ( ~ leq(s(X0),X1)
      | leq(X0,X1) ),
    inference(resolution,[],[f284,f305]) ).

fof(f11118,plain,
    spl15_25,
    inference(avatar_contradiction_clause,[],[f11117]) ).

fof(f11117,plain,
    ( $false
    | spl15_25 ),
    inference(subsumption_resolution,[],[f11099,f499]) ).

fof(f499,plain,
    leq(zero,sK9),
    inference(resolution,[],[f432,f402]) ).

fof(f11099,plain,
    ( ~ leq(zero,sK9)
    | spl15_25 ),
    inference(resolution,[],[f11068,f283]) ).

fof(f11116,plain,
    ( spl15_3
    | spl15_25 ),
    inference(avatar_contradiction_clause,[],[f11115]) ).

fof(f11115,plain,
    ( $false
    | spl15_3
    | spl15_25 ),
    inference(subsumption_resolution,[],[f11098,f813]) ).

fof(f813,plain,
    ( ~ leq(sK9,zero)
    | spl15_3 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f811,plain,
    ( spl15_3
  <=> leq(sK9,zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).

fof(f11098,plain,
    ( leq(sK9,zero)
    | spl15_25 ),
    inference(resolution,[],[f11068,f437]) ).

fof(f437,plain,
    ! [X0,X1] :
      ( leq(s(X1),s(X0))
      | leq(X0,X1) ),
    inference(resolution,[],[f284,f267]) ).

fof(f11114,plain,
    spl15_25,
    inference(avatar_contradiction_clause,[],[f11113]) ).

fof(f11113,plain,
    ( $false
    | spl15_25 ),
    inference(subsumption_resolution,[],[f11097,f238]) ).

fof(f238,plain,
    ! [X0] : ~ leq(s(X0),X0),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0] : ~ leq(s(X0),X0),
    inference(rectify,[],[f59]) ).

fof(f59,axiom,
    ! [X4] : ~ leq(s(X4),X4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_58) ).

fof(f11097,plain,
    ( leq(s(sK9),sK9)
    | spl15_25 ),
    inference(resolution,[],[f11068,f1021]) ).

fof(f1021,plain,
    ! [X0] :
      ( leq(s(zero),X0)
      | leq(X0,sK9) ),
    inference(resolution,[],[f863,f267]) ).

fof(f863,plain,
    ! [X0] :
      ( ~ leq(X0,s(zero))
      | leq(X0,sK9) ),
    inference(resolution,[],[f316,f402]) ).

fof(f11070,plain,
    ( spl15_24
    | spl15_25 ),
    inference(avatar_split_clause,[],[f10960,f11067,f11064]) ).

fof(f11064,plain,
    ( spl15_24
  <=> ! [X0] : ~ leq(host(X0),zero) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).

fof(f10960,plain,
    ! [X0] :
      ( leq(s(zero),s(sK9))
      | ~ leq(host(X0),zero) ),
    inference(resolution,[],[f1295,f242]) ).

fof(f1295,plain,
    ! [X0,X1] :
      ( ~ leq(X1,X0)
      | leq(X1,s(sK9))
      | ~ leq(X0,zero) ),
    inference(resolution,[],[f1187,f316]) ).

fof(f1187,plain,
    ! [X0] :
      ( leq(X0,s(sK9))
      | ~ leq(X0,zero) ),
    inference(resolution,[],[f1031,f509]) ).

fof(f509,plain,
    ! [X0,X1] :
      ( ~ leq(s(X0),X1)
      | leq(X0,s(X1)) ),
    inference(resolution,[],[f432,f305]) ).

fof(f1031,plain,
    ! [X0] :
      ( leq(s(X0),sK9)
      | ~ leq(X0,zero) ),
    inference(resolution,[],[f863,f283]) ).

fof(f6447,plain,
    ( spl15_23
    | spl15_20 ),
    inference(avatar_split_clause,[],[f204,f5209,f6445]) ).

fof(f5209,plain,
    ( spl15_20
  <=> ! [X9] :
        ( norm != index(status,host(X9))
        | ~ setIn(X9,alive)
        | host(X9) != index(ldr,host(X9)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).

fof(f204,plain,
    ! [X10,X11,X9,X12] :
      ( norm != index(status,host(X9))
      | host(X9) != index(ldr,host(X9))
      | ~ setIn(X9,alive)
      | elec_1 != index(status,host(X12))
      | host(X10) != s(host(X12))
      | ~ elem(m_Down(X10),queue(host(X12)))
      | ~ elem(m_Down(X11),queue(host(X12)))
      | ~ leq(nbr_proc,s(host(X12)))
      | ~ setIn(X12,alive)
      | ~ setIn(sK10(X11,X12),index(down,host(X12))) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f6362,plain,
    ( spl15_22
    | spl15_20 ),
    inference(avatar_split_clause,[],[f205,f5209,f6360]) ).

fof(f205,plain,
    ! [X10,X11,X9,X12] :
      ( norm != index(status,host(X9))
      | host(X9) != index(ldr,host(X9))
      | ~ setIn(X9,alive)
      | elec_1 != index(status,host(X12))
      | host(X10) != s(host(X12))
      | ~ elem(m_Down(X10),queue(host(X12)))
      | ~ elem(m_Down(X11),queue(host(X12)))
      | ~ leq(nbr_proc,s(host(X12)))
      | ~ setIn(X12,alive)
      | host(X11) != sK10(X11,X12) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f5390,plain,
    ~ spl15_20,
    inference(avatar_contradiction_clause,[],[f5389]) ).

fof(f5389,plain,
    ( $false
    | ~ spl15_20 ),
    inference(subsumption_resolution,[],[f5388,f225]) ).

fof(f5388,plain,
    ( norm != index(status,host(sK5))
    | ~ spl15_20 ),
    inference(subsumption_resolution,[],[f5382,f223]) ).

fof(f5382,plain,
    ( ~ setIn(sK5,alive)
    | norm != index(status,host(sK5))
    | ~ spl15_20 ),
    inference(trivial_inequality_removal,[],[f5381]) ).

fof(f5381,plain,
    ( host(sK5) != host(sK5)
    | ~ setIn(sK5,alive)
    | norm != index(status,host(sK5))
    | ~ spl15_20 ),
    inference(superposition,[],[f5210,f224]) ).

fof(f5210,plain,
    ( ! [X9] :
        ( host(X9) != index(ldr,host(X9))
        | ~ setIn(X9,alive)
        | norm != index(status,host(X9)) )
    | ~ spl15_20 ),
    inference(avatar_component_clause,[],[f5209]) ).

fof(f5374,plain,
    ( spl15_21
    | spl15_20 ),
    inference(avatar_split_clause,[],[f203,f5209,f5372]) ).

fof(f203,plain,
    ! [X10,X11,X9,X12] :
      ( norm != index(status,host(X9))
      | host(X9) != index(ldr,host(X9))
      | ~ setIn(X9,alive)
      | elec_1 != index(status,host(X12))
      | host(X10) != s(host(X12))
      | ~ elem(m_Down(X10),queue(host(X12)))
      | ~ elem(m_Down(X11),queue(host(X12)))
      | ~ leq(nbr_proc,s(host(X12)))
      | ~ setIn(X12,alive)
      | leq(s(zero),sK10(X11,X12)) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f5211,plain,
    ( spl15_19
    | spl15_20 ),
    inference(avatar_split_clause,[],[f202,f5209,f5206]) ).

fof(f202,plain,
    ! [X10,X11,X9,X12] :
      ( norm != index(status,host(X9))
      | host(X9) != index(ldr,host(X9))
      | ~ setIn(X9,alive)
      | elec_1 != index(status,host(X12))
      | host(X10) != s(host(X12))
      | ~ elem(m_Down(X10),queue(host(X12)))
      | ~ elem(m_Down(X11),queue(host(X12)))
      | ~ leq(nbr_proc,s(host(X12)))
      | ~ setIn(X12,alive)
      | ~ leq(host(X12),sK10(X11,X12)) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f3498,plain,
    ( spl15_17
    | spl15_18 ),
    inference(avatar_split_clause,[],[f2769,f3496,f3492]) ).

fof(f3492,plain,
    ( spl15_17
  <=> setIn(sK7,pids) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).

fof(f3496,plain,
    ( spl15_18
  <=> ! [X0] : ~ elem(m_Ack(sK7,X0),queue(sK9)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).

fof(f2769,plain,
    ! [X0] :
      ( ~ elem(m_Ack(sK7,X0),queue(sK9))
      | setIn(sK7,pids) ),
    inference(superposition,[],[f271,f2759]) ).

fof(f271,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/sandbox/benchmark/theBenchmark.p',axiom) ).

fof(f3490,plain,
    ( spl15_15
    | spl15_16 ),
    inference(avatar_split_clause,[],[f1257,f3488,f3484]) ).

fof(f3484,plain,
    ( spl15_15
  <=> setIn(sK6,pids) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).

fof(f3488,plain,
    ( spl15_16
  <=> ! [X0] : ~ elem(m_Ack(sK6,X0),queue(nbr_proc)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).

fof(f1257,plain,
    ! [X0] :
      ( ~ elem(m_Ack(sK6,X0),queue(nbr_proc))
      | setIn(sK6,pids) ),
    inference(superposition,[],[f271,f761]) ).

fof(f2792,plain,
    ( ~ spl15_13
    | spl15_14 ),
    inference(avatar_split_clause,[],[f2783,f2790,f2786]) ).

fof(f2786,plain,
    ( spl15_13
  <=> sK9 = s(sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).

fof(f2790,plain,
    ( spl15_14
  <=> ! [X0] : host(X0) != sK9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).

fof(f2783,plain,
    ! [X0] :
      ( host(X0) != sK9
      | sK9 != s(sK9) ),
    inference(inner_rewriting,[],[f2782]) ).

fof(f2782,plain,
    ! [X0] :
      ( host(X0) != sK9
      | host(X0) != s(sK9) ),
    inference(forward_demodulation,[],[f2768,f2759]) ).

fof(f2768,plain,
    ! [X0] :
      ( host(X0) != s(sK9)
      | host(X0) != host(sK7) ),
    inference(superposition,[],[f270,f2759]) ).

fof(f270,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/sandbox/benchmark/theBenchmark.p',axiom_01) ).

fof(f1836,plain,
    ( ~ spl15_11
    | spl15_12 ),
    inference(avatar_split_clause,[],[f1688,f1834,f1830]) ).

fof(f1830,plain,
    ( spl15_11
  <=> nbr_proc = s(nbr_proc) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).

fof(f1834,plain,
    ( spl15_12
  <=> ! [X0] : host(X0) != nbr_proc ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).

fof(f1688,plain,
    ! [X0] :
      ( host(X0) != nbr_proc
      | nbr_proc != s(nbr_proc) ),
    inference(inner_rewriting,[],[f1687]) ).

fof(f1687,plain,
    ! [X0] :
      ( host(X0) != nbr_proc
      | host(X0) != s(nbr_proc) ),
    inference(forward_demodulation,[],[f1684,f761]) ).

fof(f1684,plain,
    ! [X0] :
      ( host(X0) != s(nbr_proc)
      | host(X0) != host(sK6) ),
    inference(superposition,[],[f270,f761]) ).

fof(f1828,plain,
    ( spl15_9
    | spl15_10 ),
    inference(avatar_split_clause,[],[f1255,f1825,f1822]) ).

fof(f1822,plain,
    ( spl15_9
  <=> ! [X0] : ~ elem(m_Ack(sK3,X0),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).

fof(f1825,plain,
    ( spl15_10
  <=> setIn(sK3,pids) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).

fof(f1255,plain,
    ! [X0] :
      ( setIn(sK3,pids)
      | ~ elem(m_Ack(sK3,X0),sK2) ),
    inference(resolution,[],[f271,f535]) ).

fof(f1447,plain,
    ( ~ spl15_7
    | spl15_8 ),
    inference(avatar_split_clause,[],[f743,f1444,f1440]) ).

fof(f1444,plain,
    ( spl15_8
  <=> s(zero) = sK9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).

fof(f743,plain,
    ( s(zero) = sK9
    | ~ leq(sK9,s(zero)) ),
    inference(resolution,[],[f306,f402]) ).

fof(f953,plain,
    ( ~ spl15_5
    | spl15_6 ),
    inference(avatar_split_clause,[],[f804,f950,f946]) ).

fof(f946,plain,
    ( spl15_5
  <=> leq(nbr_proc,sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).

fof(f950,plain,
    ( spl15_6
  <=> nbr_proc = sK9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).

fof(f804,plain,
    ( nbr_proc = sK9
    | ~ leq(nbr_proc,sK9) ),
    inference(resolution,[],[f783,f306]) ).

fof(f783,plain,
    leq(sK9,nbr_proc),
    inference(superposition,[],[f467,f761]) ).

fof(f467,plain,
    leq(sK9,host(sK6)),
    inference(resolution,[],[f458,f390]) ).

fof(f458,plain,
    ! [X0] :
      ( leq(host(sK3),X0)
      | leq(X0,host(sK6)) ),
    inference(resolution,[],[f448,f267]) ).

fof(f448,plain,
    ! [X0] :
      ( ~ leq(host(sK6),X0)
      | leq(host(sK3),X0) ),
    inference(resolution,[],[f439,f305]) ).

fof(f439,plain,
    ! [X0] :
      ( ~ leq(host(sK6),s(X0))
      | leq(host(sK3),X0) ),
    inference(superposition,[],[f284,f341]) ).

fof(f818,plain,
    ( ~ spl15_3
    | spl15_4 ),
    inference(avatar_split_clause,[],[f754,f815,f811]) ).

fof(f815,plain,
    ( spl15_4
  <=> zero = sK9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).

fof(f754,plain,
    ( zero = sK9
    | ~ leq(sK9,zero) ),
    inference(resolution,[],[f306,f499]) ).

fof(f369,plain,
    ( spl15_1
    | ~ spl15_2 ),
    inference(avatar_split_clause,[],[f356,f366,f362]) ).

fof(f362,plain,
    ( spl15_1
  <=> ordered(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).

fof(f366,plain,
    ( spl15_2
  <=> ordered(queue(host(sK3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).

fof(f356,plain,
    ( ~ ordered(queue(host(sK3)))
    | ordered(sK2) ),
    inference(superposition,[],[f291,f206]) ).

fof(f291,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/sandbox/benchmark/theBenchmark.p',axiom_53) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWV481+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n008.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 21:14:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.37  % (13995)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39  % (13998)WARNING: value z3 for option sas not known
% 0.14/0.39  % (13997)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39  % (14001)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)
% 0.14/0.39  % (14002)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)
% 0.14/0.39  % (13999)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39  % (13998)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)
% 0.14/0.39  % (14000)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)
% 0.14/0.39  % (13996)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.41  Detected minimum model sizes of [4]
% 0.14/0.41  Detected maximum model sizes of [max]
% 0.14/0.41  TRYING [4]
% 0.21/0.46  Detected minimum model sizes of [4]
% 0.21/0.46  Detected maximum model sizes of [max]
% 0.21/0.47  TRYING [4]
% 0.21/0.49  TRYING [5]
% 1.92/0.64  TRYING [6]
% 1.92/0.71  TRYING [5]
% 3.65/0.90  TRYING [7]
% 6.64/1.33  TRYING [8]
% 7.96/1.50  Detected minimum model sizes of [4]
% 7.96/1.50  Detected maximum model sizes of [max]
% 7.96/1.51  TRYING [4]
% 8.24/1.59  TRYING [5]
% 9.32/1.76  TRYING [6]
% 10.90/1.95  TRYING [9]
% 10.90/1.98  % (13998)First to succeed.
% 11.40/1.99  % (13998)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13995"
% 11.40/1.99  % (13998)Refutation found. Thanks to Tanya!
% 11.40/1.99  % SZS status Theorem for theBenchmark
% 11.40/1.99  % SZS output start Proof for theBenchmark
% See solution above
% 11.40/2.00  % (13998)------------------------------
% 11.40/2.00  % (13998)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 11.40/2.00  % (13998)Termination reason: Refutation
% 11.40/2.00  
% 11.40/2.00  % (13998)Memory used [KB]: 27875
% 11.40/2.00  % (13998)Time elapsed: 1.604 s
% 11.40/2.00  % (13998)Instructions burned: 3144 (million)
% 11.40/2.00  % (13995)Success in time 1.596 s
%------------------------------------------------------------------------------