TSTP Solution File: SWV457+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV457+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 10:34:40 EDT 2024

% Result   : Theorem 0.95s 0.85s
% Output   : Refutation 0.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  167 (  46 unt;   0 def)
%            Number of atoms       : 1080 ( 424 equ)
%            Maximal formula atoms :  144 (   6 avg)
%            Number of connectives : 1535 ( 622   ~; 460   |; 366   &)
%                                         (  15 <=>;  72  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;  10 prp; 0-2 aty)
%            Number of functors    :   41 (  41 usr;  32 con; 0-2 aty)
%            Number of variables   :  500 ( 466   !;  34   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4253,plain,
    $false,
    inference(avatar_sat_refutation,[],[f260,f871,f2206,f2236,f3689,f3694,f3708,f3760,f4179,f4228]) ).

fof(f4228,plain,
    ( ~ spl22_112
    | ~ spl22_135 ),
    inference(avatar_contradiction_clause,[],[f4227]) ).

fof(f4227,plain,
    ( $false
    | ~ spl22_112
    | ~ spl22_135 ),
    inference(subsumption_resolution,[],[f4198,f2176]) ).

fof(f2176,plain,
    ( nbr_proc = sF6
    | ~ spl22_135 ),
    inference(avatar_component_clause,[],[f2175]) ).

fof(f2175,plain,
    ( spl22_135
  <=> nbr_proc = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_135])]) ).

fof(f4198,plain,
    ( nbr_proc != sF6
    | ~ spl22_112 ),
    inference(superposition,[],[f248,f1666]) ).

fof(f1666,plain,
    ( nbr_proc = sF17
    | ~ spl22_112 ),
    inference(avatar_component_clause,[],[f1665]) ).

fof(f1665,plain,
    ( spl22_112
  <=> nbr_proc = sF17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_112])]) ).

fof(f248,plain,
    sF6 != sF17,
    inference(definition_folding,[],[f151,f227,f244]) ).

fof(f244,plain,
    host(sK1) = sF17,
    introduced(function_definition,[new_symbols(definition,[sF17])]) ).

fof(f227,plain,
    host(sK3) = sF6,
    introduced(function_definition,[new_symbols(definition,[sF6])]) ).

fof(f151,plain,
    host(sK1) != host(sK3),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ( norm = index(status,host(sK3))
    & host(sK3) = index(ldr,host(sK3))
    & setIn(sK3,alive)
    & host(sK4) = index(pendack,host(sK5))
    & elec_2 = index(status,host(sK5))
    & elem(m_Ack(sK5,sK4),snoc(queue(host(sK5)),m_Ack(sK2,sK1)))
    & leq(nbr_proc,index(pendack,host(sK5)))
    & setIn(sK5,alive)
    & host(sK1) != host(sK5)
    & host(sK2) = host(sK5)
    & host(sK1) != host(sK3)
    & setIn(sK1,alive)
    & queue(host(sK1)) = cons(m_Halt(sK2),sK0)
    & ! [X6,X7,X8] :
        ( norm != index(status,host(X6))
        | host(X6) != index(ldr,host(X6))
        | ~ setIn(X6,alive)
        | host(X7) != index(pendack,host(X8))
        | elec_2 != index(status,host(X8))
        | ~ leq(nbr_proc,index(pendack,host(X8)))
        | ~ elem(m_Ack(X8,X7),queue(host(X8)))
        | ~ setIn(X8,alive) )
    & ! [X9,X10,X11] :
        ( norm != index(status,host(X9))
        | host(X9) != index(ldr,host(X9))
        | ~ setIn(X9,alive)
        | elec_2 != index(status,host(X11))
        | ~ elem(m_Halt(X11),queue(host(X10)))
        | ~ setIn(X11,alive)
        | leq(index(pendack,host(X11)),host(X9)) )
    & ! [X12,X13] :
        ( ~ leq(index(pendack,host(X12)),index(pendack,host(X13)))
        | elec_2 != index(status,host(X13))
        | elec_2 != index(status,host(X12))
        | ~ setIn(X13,alive)
        | ~ setIn(X12,alive)
        | leq(host(X12),host(X13)) )
    & ! [X14,X15,X16] :
        ( ~ setIn(host(X16),index(down,host(X15)))
        | host(X14) != host(X15)
        | ~ elem(m_Ack(X16,X14),queue(host(X16)))
        | ~ setIn(X16,alive)
        | ~ setIn(X15,alive) )
    & ! [X17,X18,X19] :
        ( ~ setIn(X19,alive)
        | host(X17) != host(X19)
        | ~ elem(m_Ack(X19,X18),queue(host(X19)))
        | ~ elem(m_Down(X17),queue(host(X18))) )
    & ! [X20] :
        ( index(elid,host(X20)) = X20
        | ~ setIn(X20,alive)
        | ( elec_2 != index(status,host(X20))
          & elec_1 != index(status,host(X20)) ) )
    & ! [X21,X22] :
        ( ~ elem(m_Ack(X22,X21),queue(host(X22)))
        | elec_1 != index(status,host(X22))
        | ~ setIn(X22,alive) )
    & ! [X23,X24] :
        ( ~ elem(m_Ack(X23,X24),queue(host(X23)))
        | elec_1 != index(status,host(X24))
        | ~ setIn(X24,alive) )
    & ! [X25,X26] :
        ( leq(host(X25),index(pendack,host(X26)))
        | ~ elem(m_Ack(X26,X25),queue(host(X26)))
        | ~ setIn(X26,alive) )
    & ! [X27,X28] :
        ( ~ setIn(X28,alive)
        | ~ setIn(X27,alive)
        | host(X27) != host(X28)
        | X27 = X28 )
    & ! [X29,X30] :
        ( ~ setIn(X30,alive)
        | host(X29) != host(X30)
        | ~ leq(X30,X29)
        | setIn(X29,alive) )
    & ! [X31,X32,X33] :
        ( ~ leq(host(X31),host(X33))
        | ~ elem(m_Ack(X33,X31),queue(host(X32))) )
    & ! [X34,X35] :
        ( ~ leq(host(X34),host(X35))
        | ~ elem(m_Ldr(X35),queue(host(X34))) )
    & ! [X36,X37] :
        ( ~ setIn(X37,alive)
        | ~ elem(m_Down(X37),queue(host(X36))) )
    & ! [X38,X39] :
        ( setIn(X39,pids)
        | ~ elem(m_Ack(X39,X38),queue(host(X39))) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f119,f122,f121,f120]) ).

fof(f120,plain,
    ( ? [X0,X1,X2] :
        ( ? [X3] :
            ( ? [X4,X5] :
                ( norm = index(status,host(X3))
                & host(X3) = index(ldr,host(X3))
                & setIn(X3,alive)
                & host(X4) = index(pendack,host(X5))
                & elec_2 = index(status,host(X5))
                & elem(m_Ack(X5,X4),snoc(queue(host(X5)),m_Ack(X2,X1)))
                & leq(nbr_proc,index(pendack,host(X5)))
                & setIn(X5,alive)
                & host(X1) != host(X5)
                & host(X2) = host(X5) )
            & host(X3) != host(X1) )
        & setIn(X1,alive)
        & queue(host(X1)) = cons(m_Halt(X2),X0)
        & ! [X6,X7,X8] :
            ( norm != index(status,host(X6))
            | host(X6) != index(ldr,host(X6))
            | ~ setIn(X6,alive)
            | host(X7) != index(pendack,host(X8))
            | elec_2 != index(status,host(X8))
            | ~ leq(nbr_proc,index(pendack,host(X8)))
            | ~ elem(m_Ack(X8,X7),queue(host(X8)))
            | ~ setIn(X8,alive) )
        & ! [X9,X10,X11] :
            ( norm != index(status,host(X9))
            | host(X9) != index(ldr,host(X9))
            | ~ setIn(X9,alive)
            | elec_2 != index(status,host(X11))
            | ~ elem(m_Halt(X11),queue(host(X10)))
            | ~ setIn(X11,alive)
            | leq(index(pendack,host(X11)),host(X9)) )
        & ! [X12,X13] :
            ( ~ leq(index(pendack,host(X12)),index(pendack,host(X13)))
            | elec_2 != index(status,host(X13))
            | elec_2 != index(status,host(X12))
            | ~ setIn(X13,alive)
            | ~ setIn(X12,alive)
            | leq(host(X12),host(X13)) )
        & ! [X14,X15,X16] :
            ( ~ setIn(host(X16),index(down,host(X15)))
            | host(X14) != host(X15)
            | ~ elem(m_Ack(X16,X14),queue(host(X16)))
            | ~ setIn(X16,alive)
            | ~ setIn(X15,alive) )
        & ! [X17,X18,X19] :
            ( ~ setIn(X19,alive)
            | host(X17) != host(X19)
            | ~ elem(m_Ack(X19,X18),queue(host(X19)))
            | ~ elem(m_Down(X17),queue(host(X18))) )
        & ! [X20] :
            ( index(elid,host(X20)) = X20
            | ~ setIn(X20,alive)
            | ( elec_2 != index(status,host(X20))
              & elec_1 != index(status,host(X20)) ) )
        & ! [X21,X22] :
            ( ~ elem(m_Ack(X22,X21),queue(host(X22)))
            | elec_1 != index(status,host(X22))
            | ~ setIn(X22,alive) )
        & ! [X23,X24] :
            ( ~ elem(m_Ack(X23,X24),queue(host(X23)))
            | elec_1 != index(status,host(X24))
            | ~ setIn(X24,alive) )
        & ! [X25,X26] :
            ( leq(host(X25),index(pendack,host(X26)))
            | ~ elem(m_Ack(X26,X25),queue(host(X26)))
            | ~ setIn(X26,alive) )
        & ! [X27,X28] :
            ( ~ setIn(X28,alive)
            | ~ setIn(X27,alive)
            | host(X27) != host(X28)
            | X27 = X28 )
        & ! [X29,X30] :
            ( ~ setIn(X30,alive)
            | host(X29) != host(X30)
            | ~ leq(X30,X29)
            | setIn(X29,alive) )
        & ! [X31,X32,X33] :
            ( ~ leq(host(X31),host(X33))
            | ~ elem(m_Ack(X33,X31),queue(host(X32))) )
        & ! [X34,X35] :
            ( ~ leq(host(X34),host(X35))
            | ~ elem(m_Ldr(X35),queue(host(X34))) )
        & ! [X36,X37] :
            ( ~ setIn(X37,alive)
            | ~ elem(m_Down(X37),queue(host(X36))) )
        & ! [X38,X39] :
            ( setIn(X39,pids)
            | ~ elem(m_Ack(X39,X38),queue(host(X39))) ) )
   => ( ? [X3] :
          ( ? [X5,X4] :
              ( norm = index(status,host(X3))
              & host(X3) = index(ldr,host(X3))
              & setIn(X3,alive)
              & host(X4) = index(pendack,host(X5))
              & elec_2 = index(status,host(X5))
              & elem(m_Ack(X5,X4),snoc(queue(host(X5)),m_Ack(sK2,sK1)))
              & leq(nbr_proc,index(pendack,host(X5)))
              & setIn(X5,alive)
              & host(X5) != host(sK1)
              & host(X5) = host(sK2) )
          & host(X3) != host(sK1) )
      & setIn(sK1,alive)
      & queue(host(sK1)) = cons(m_Halt(sK2),sK0)
      & ! [X6,X7,X8] :
          ( norm != index(status,host(X6))
          | host(X6) != index(ldr,host(X6))
          | ~ setIn(X6,alive)
          | host(X7) != index(pendack,host(X8))
          | elec_2 != index(status,host(X8))
          | ~ leq(nbr_proc,index(pendack,host(X8)))
          | ~ elem(m_Ack(X8,X7),queue(host(X8)))
          | ~ setIn(X8,alive) )
      & ! [X9,X10,X11] :
          ( norm != index(status,host(X9))
          | host(X9) != index(ldr,host(X9))
          | ~ setIn(X9,alive)
          | elec_2 != index(status,host(X11))
          | ~ elem(m_Halt(X11),queue(host(X10)))
          | ~ setIn(X11,alive)
          | leq(index(pendack,host(X11)),host(X9)) )
      & ! [X12,X13] :
          ( ~ leq(index(pendack,host(X12)),index(pendack,host(X13)))
          | elec_2 != index(status,host(X13))
          | elec_2 != index(status,host(X12))
          | ~ setIn(X13,alive)
          | ~ setIn(X12,alive)
          | leq(host(X12),host(X13)) )
      & ! [X14,X15,X16] :
          ( ~ setIn(host(X16),index(down,host(X15)))
          | host(X14) != host(X15)
          | ~ elem(m_Ack(X16,X14),queue(host(X16)))
          | ~ setIn(X16,alive)
          | ~ setIn(X15,alive) )
      & ! [X17,X18,X19] :
          ( ~ setIn(X19,alive)
          | host(X17) != host(X19)
          | ~ elem(m_Ack(X19,X18),queue(host(X19)))
          | ~ elem(m_Down(X17),queue(host(X18))) )
      & ! [X20] :
          ( index(elid,host(X20)) = X20
          | ~ setIn(X20,alive)
          | ( elec_2 != index(status,host(X20))
            & elec_1 != index(status,host(X20)) ) )
      & ! [X21,X22] :
          ( ~ elem(m_Ack(X22,X21),queue(host(X22)))
          | elec_1 != index(status,host(X22))
          | ~ setIn(X22,alive) )
      & ! [X23,X24] :
          ( ~ elem(m_Ack(X23,X24),queue(host(X23)))
          | elec_1 != index(status,host(X24))
          | ~ setIn(X24,alive) )
      & ! [X25,X26] :
          ( leq(host(X25),index(pendack,host(X26)))
          | ~ elem(m_Ack(X26,X25),queue(host(X26)))
          | ~ setIn(X26,alive) )
      & ! [X27,X28] :
          ( ~ setIn(X28,alive)
          | ~ setIn(X27,alive)
          | host(X27) != host(X28)
          | X27 = X28 )
      & ! [X29,X30] :
          ( ~ setIn(X30,alive)
          | host(X29) != host(X30)
          | ~ leq(X30,X29)
          | setIn(X29,alive) )
      & ! [X31,X32,X33] :
          ( ~ leq(host(X31),host(X33))
          | ~ elem(m_Ack(X33,X31),queue(host(X32))) )
      & ! [X34,X35] :
          ( ~ leq(host(X34),host(X35))
          | ~ elem(m_Ldr(X35),queue(host(X34))) )
      & ! [X36,X37] :
          ( ~ setIn(X37,alive)
          | ~ elem(m_Down(X37),queue(host(X36))) )
      & ! [X38,X39] :
          ( setIn(X39,pids)
          | ~ elem(m_Ack(X39,X38),queue(host(X39))) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f121,plain,
    ( ? [X3] :
        ( ? [X5,X4] :
            ( norm = index(status,host(X3))
            & host(X3) = index(ldr,host(X3))
            & setIn(X3,alive)
            & host(X4) = index(pendack,host(X5))
            & elec_2 = index(status,host(X5))
            & elem(m_Ack(X5,X4),snoc(queue(host(X5)),m_Ack(sK2,sK1)))
            & leq(nbr_proc,index(pendack,host(X5)))
            & setIn(X5,alive)
            & host(X5) != host(sK1)
            & host(X5) = host(sK2) )
        & host(X3) != host(sK1) )
   => ( ? [X5,X4] :
          ( norm = index(status,host(sK3))
          & host(sK3) = index(ldr,host(sK3))
          & setIn(sK3,alive)
          & host(X4) = index(pendack,host(X5))
          & elec_2 = index(status,host(X5))
          & elem(m_Ack(X5,X4),snoc(queue(host(X5)),m_Ack(sK2,sK1)))
          & leq(nbr_proc,index(pendack,host(X5)))
          & setIn(X5,alive)
          & host(X5) != host(sK1)
          & host(X5) = host(sK2) )
      & host(sK1) != host(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f122,plain,
    ( ? [X5,X4] :
        ( norm = index(status,host(sK3))
        & host(sK3) = index(ldr,host(sK3))
        & setIn(sK3,alive)
        & host(X4) = index(pendack,host(X5))
        & elec_2 = index(status,host(X5))
        & elem(m_Ack(X5,X4),snoc(queue(host(X5)),m_Ack(sK2,sK1)))
        & leq(nbr_proc,index(pendack,host(X5)))
        & setIn(X5,alive)
        & host(X5) != host(sK1)
        & host(X5) = host(sK2) )
   => ( norm = index(status,host(sK3))
      & host(sK3) = index(ldr,host(sK3))
      & setIn(sK3,alive)
      & host(sK4) = index(pendack,host(sK5))
      & elec_2 = index(status,host(sK5))
      & elem(m_Ack(sK5,sK4),snoc(queue(host(sK5)),m_Ack(sK2,sK1)))
      & leq(nbr_proc,index(pendack,host(sK5)))
      & setIn(sK5,alive)
      & host(sK1) != host(sK5)
      & host(sK2) = host(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f119,plain,
    ? [X0,X1,X2] :
      ( ? [X3] :
          ( ? [X4,X5] :
              ( norm = index(status,host(X3))
              & host(X3) = index(ldr,host(X3))
              & setIn(X3,alive)
              & host(X4) = index(pendack,host(X5))
              & elec_2 = index(status,host(X5))
              & elem(m_Ack(X5,X4),snoc(queue(host(X5)),m_Ack(X2,X1)))
              & leq(nbr_proc,index(pendack,host(X5)))
              & setIn(X5,alive)
              & host(X1) != host(X5)
              & host(X2) = host(X5) )
          & host(X3) != host(X1) )
      & setIn(X1,alive)
      & queue(host(X1)) = cons(m_Halt(X2),X0)
      & ! [X6,X7,X8] :
          ( norm != index(status,host(X6))
          | host(X6) != index(ldr,host(X6))
          | ~ setIn(X6,alive)
          | host(X7) != index(pendack,host(X8))
          | elec_2 != index(status,host(X8))
          | ~ leq(nbr_proc,index(pendack,host(X8)))
          | ~ elem(m_Ack(X8,X7),queue(host(X8)))
          | ~ setIn(X8,alive) )
      & ! [X9,X10,X11] :
          ( norm != index(status,host(X9))
          | host(X9) != index(ldr,host(X9))
          | ~ setIn(X9,alive)
          | elec_2 != index(status,host(X11))
          | ~ elem(m_Halt(X11),queue(host(X10)))
          | ~ setIn(X11,alive)
          | leq(index(pendack,host(X11)),host(X9)) )
      & ! [X12,X13] :
          ( ~ leq(index(pendack,host(X12)),index(pendack,host(X13)))
          | elec_2 != index(status,host(X13))
          | elec_2 != index(status,host(X12))
          | ~ setIn(X13,alive)
          | ~ setIn(X12,alive)
          | leq(host(X12),host(X13)) )
      & ! [X14,X15,X16] :
          ( ~ setIn(host(X16),index(down,host(X15)))
          | host(X14) != host(X15)
          | ~ elem(m_Ack(X16,X14),queue(host(X16)))
          | ~ setIn(X16,alive)
          | ~ setIn(X15,alive) )
      & ! [X17,X18,X19] :
          ( ~ setIn(X19,alive)
          | host(X17) != host(X19)
          | ~ elem(m_Ack(X19,X18),queue(host(X19)))
          | ~ elem(m_Down(X17),queue(host(X18))) )
      & ! [X20] :
          ( index(elid,host(X20)) = X20
          | ~ setIn(X20,alive)
          | ( elec_2 != index(status,host(X20))
            & elec_1 != index(status,host(X20)) ) )
      & ! [X21,X22] :
          ( ~ elem(m_Ack(X22,X21),queue(host(X22)))
          | elec_1 != index(status,host(X22))
          | ~ setIn(X22,alive) )
      & ! [X23,X24] :
          ( ~ elem(m_Ack(X23,X24),queue(host(X23)))
          | elec_1 != index(status,host(X24))
          | ~ setIn(X24,alive) )
      & ! [X25,X26] :
          ( leq(host(X25),index(pendack,host(X26)))
          | ~ elem(m_Ack(X26,X25),queue(host(X26)))
          | ~ setIn(X26,alive) )
      & ! [X27,X28] :
          ( ~ setIn(X28,alive)
          | ~ setIn(X27,alive)
          | host(X27) != host(X28)
          | X27 = X28 )
      & ! [X29,X30] :
          ( ~ setIn(X30,alive)
          | host(X29) != host(X30)
          | ~ leq(X30,X29)
          | setIn(X29,alive) )
      & ! [X31,X32,X33] :
          ( ~ leq(host(X31),host(X33))
          | ~ elem(m_Ack(X33,X31),queue(host(X32))) )
      & ! [X34,X35] :
          ( ~ leq(host(X34),host(X35))
          | ~ elem(m_Ldr(X35),queue(host(X34))) )
      & ! [X36,X37] :
          ( ~ setIn(X37,alive)
          | ~ elem(m_Down(X37),queue(host(X36))) )
      & ! [X38,X39] :
          ( setIn(X39,pids)
          | ~ elem(m_Ack(X39,X38),queue(host(X39))) ) ),
    inference(rectify,[],[f107]) ).

fof(f107,plain,
    ? [X0,X1,X2] :
      ( ? [X37] :
          ( ? [X38,X39] :
              ( norm = index(status,host(X37))
              & host(X37) = index(ldr,host(X37))
              & setIn(X37,alive)
              & host(X38) = index(pendack,host(X39))
              & elec_2 = index(status,host(X39))
              & elem(m_Ack(X39,X38),snoc(queue(host(X39)),m_Ack(X2,X1)))
              & leq(nbr_proc,index(pendack,host(X39)))
              & setIn(X39,alive)
              & host(X1) != host(X39)
              & host(X2) = host(X39) )
          & host(X1) != host(X37) )
      & setIn(X1,alive)
      & queue(host(X1)) = cons(m_Halt(X2),X0)
      & ! [X3,X4,X5] :
          ( norm != index(status,host(X3))
          | host(X3) != index(ldr,host(X3))
          | ~ setIn(X3,alive)
          | host(X4) != index(pendack,host(X5))
          | elec_2 != index(status,host(X5))
          | ~ leq(nbr_proc,index(pendack,host(X5)))
          | ~ elem(m_Ack(X5,X4),queue(host(X5)))
          | ~ setIn(X5,alive) )
      & ! [X6,X7,X8] :
          ( norm != index(status,host(X6))
          | host(X6) != index(ldr,host(X6))
          | ~ setIn(X6,alive)
          | elec_2 != index(status,host(X8))
          | ~ elem(m_Halt(X8),queue(host(X7)))
          | ~ setIn(X8,alive)
          | leq(index(pendack,host(X8)),host(X6)) )
      & ! [X9,X10] :
          ( ~ leq(index(pendack,host(X9)),index(pendack,host(X10)))
          | elec_2 != index(status,host(X10))
          | elec_2 != index(status,host(X9))
          | ~ setIn(X10,alive)
          | ~ setIn(X9,alive)
          | leq(host(X9),host(X10)) )
      & ! [X11,X12,X13] :
          ( ~ setIn(host(X13),index(down,host(X12)))
          | host(X12) != host(X11)
          | ~ elem(m_Ack(X13,X11),queue(host(X13)))
          | ~ setIn(X13,alive)
          | ~ setIn(X12,alive) )
      & ! [X14,X15,X16] :
          ( ~ setIn(X16,alive)
          | host(X14) != host(X16)
          | ~ elem(m_Ack(X16,X15),queue(host(X16)))
          | ~ elem(m_Down(X14),queue(host(X15))) )
      & ! [X17] :
          ( index(elid,host(X17)) = X17
          | ~ setIn(X17,alive)
          | ( elec_2 != index(status,host(X17))
            & elec_1 != index(status,host(X17)) ) )
      & ! [X18,X19] :
          ( ~ elem(m_Ack(X19,X18),queue(host(X19)))
          | elec_1 != index(status,host(X19))
          | ~ setIn(X19,alive) )
      & ! [X20,X21] :
          ( ~ elem(m_Ack(X20,X21),queue(host(X20)))
          | elec_1 != index(status,host(X21))
          | ~ setIn(X21,alive) )
      & ! [X22,X23] :
          ( leq(host(X22),index(pendack,host(X23)))
          | ~ elem(m_Ack(X23,X22),queue(host(X23)))
          | ~ setIn(X23,alive) )
      & ! [X24,X25] :
          ( ~ setIn(X25,alive)
          | ~ setIn(X24,alive)
          | host(X24) != host(X25)
          | X24 = X25 )
      & ! [X26,X27] :
          ( ~ setIn(X27,alive)
          | host(X26) != host(X27)
          | ~ leq(X27,X26)
          | setIn(X26,alive) )
      & ! [X28,X29,X30] :
          ( ~ leq(host(X28),host(X30))
          | ~ elem(m_Ack(X30,X28),queue(host(X29))) )
      & ! [X31,X32] :
          ( ~ leq(host(X31),host(X32))
          | ~ elem(m_Ldr(X32),queue(host(X31))) )
      & ! [X33,X34] :
          ( ~ setIn(X34,alive)
          | ~ elem(m_Down(X34),queue(host(X33))) )
      & ! [X35,X36] :
          ( setIn(X36,pids)
          | ~ elem(m_Ack(X36,X35),queue(host(X36))) ) ),
    inference(flattening,[],[f106]) ).

fof(f106,plain,
    ? [X0,X1,X2] :
      ( ? [X37] :
          ( ? [X38,X39] :
              ( norm = index(status,host(X37))
              & host(X37) = index(ldr,host(X37))
              & setIn(X37,alive)
              & host(X38) = index(pendack,host(X39))
              & elec_2 = index(status,host(X39))
              & elem(m_Ack(X39,X38),snoc(queue(host(X39)),m_Ack(X2,X1)))
              & leq(nbr_proc,index(pendack,host(X39)))
              & setIn(X39,alive)
              & host(X1) != host(X39)
              & host(X2) = host(X39) )
          & host(X1) != host(X37) )
      & setIn(X1,alive)
      & queue(host(X1)) = cons(m_Halt(X2),X0)
      & ! [X3,X4,X5] :
          ( norm != index(status,host(X3))
          | host(X3) != index(ldr,host(X3))
          | ~ setIn(X3,alive)
          | host(X4) != index(pendack,host(X5))
          | elec_2 != index(status,host(X5))
          | ~ leq(nbr_proc,index(pendack,host(X5)))
          | ~ elem(m_Ack(X5,X4),queue(host(X5)))
          | ~ setIn(X5,alive) )
      & ! [X6,X7,X8] :
          ( norm != index(status,host(X6))
          | host(X6) != index(ldr,host(X6))
          | ~ setIn(X6,alive)
          | elec_2 != index(status,host(X8))
          | ~ elem(m_Halt(X8),queue(host(X7)))
          | ~ setIn(X8,alive)
          | leq(index(pendack,host(X8)),host(X6)) )
      & ! [X9,X10] :
          ( ~ leq(index(pendack,host(X9)),index(pendack,host(X10)))
          | elec_2 != index(status,host(X10))
          | elec_2 != index(status,host(X9))
          | ~ setIn(X10,alive)
          | ~ setIn(X9,alive)
          | leq(host(X9),host(X10)) )
      & ! [X11,X12,X13] :
          ( ~ setIn(host(X13),index(down,host(X12)))
          | host(X12) != host(X11)
          | ~ elem(m_Ack(X13,X11),queue(host(X13)))
          | ~ setIn(X13,alive)
          | ~ setIn(X12,alive) )
      & ! [X14,X15,X16] :
          ( ~ setIn(X16,alive)
          | host(X14) != host(X16)
          | ~ elem(m_Ack(X16,X15),queue(host(X16)))
          | ~ elem(m_Down(X14),queue(host(X15))) )
      & ! [X17] :
          ( index(elid,host(X17)) = X17
          | ~ setIn(X17,alive)
          | ( elec_2 != index(status,host(X17))
            & elec_1 != index(status,host(X17)) ) )
      & ! [X18,X19] :
          ( ~ elem(m_Ack(X19,X18),queue(host(X19)))
          | elec_1 != index(status,host(X19))
          | ~ setIn(X19,alive) )
      & ! [X20,X21] :
          ( ~ elem(m_Ack(X20,X21),queue(host(X20)))
          | elec_1 != index(status,host(X21))
          | ~ setIn(X21,alive) )
      & ! [X22,X23] :
          ( leq(host(X22),index(pendack,host(X23)))
          | ~ elem(m_Ack(X23,X22),queue(host(X23)))
          | ~ setIn(X23,alive) )
      & ! [X24,X25] :
          ( ~ setIn(X25,alive)
          | ~ setIn(X24,alive)
          | host(X24) != host(X25)
          | X24 = X25 )
      & ! [X26,X27] :
          ( ~ setIn(X27,alive)
          | host(X26) != host(X27)
          | ~ leq(X27,X26)
          | setIn(X26,alive) )
      & ! [X28,X29,X30] :
          ( ~ leq(host(X28),host(X30))
          | ~ elem(m_Ack(X30,X28),queue(host(X29))) )
      & ! [X31,X32] :
          ( ~ leq(host(X31),host(X32))
          | ~ elem(m_Ldr(X32),queue(host(X31))) )
      & ! [X33,X34] :
          ( ~ setIn(X34,alive)
          | ~ elem(m_Down(X34),queue(host(X33))) )
      & ! [X35,X36] :
          ( setIn(X36,pids)
          | ~ elem(m_Ack(X36,X35),queue(host(X36))) ) ),
    inference(ennf_transformation,[],[f69]) ).

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

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

fof(f67,conjecture,
    ! [X11,X12,X4] :
      ( ( queue(host(X12)) = cons(m_Halt(X4),X11)
        & ! [X5,X6,X13] :
            ( ( host(X6) = index(pendack,host(X13))
              & elec_2 = index(status,host(X13))
              & leq(nbr_proc,index(pendack,host(X13)))
              & elem(m_Ack(X13,X6),queue(host(X13)))
              & setIn(X13,alive) )
           => ~ ( norm = index(status,host(X5))
                & host(X5) = index(ldr,host(X5))
                & setIn(X5,alive) ) )
        & ! [X5,X6,X13] :
            ( ( elec_2 = index(status,host(X13))
              & elem(m_Halt(X13),queue(host(X6)))
              & setIn(X13,alive)
              & ~ leq(index(pendack,host(X13)),host(X5)) )
           => ~ ( norm = index(status,host(X5))
                & host(X5) = index(ldr,host(X5))
                & setIn(X5,alive) ) )
        & ! [X5,X6] :
            ( ( elec_2 = index(status,host(X6))
              & elec_2 = index(status,host(X5))
              & setIn(X6,alive)
              & setIn(X5,alive)
              & ~ leq(host(X5),host(X6)) )
           => ~ leq(index(pendack,host(X5)),index(pendack,host(X6))) )
        & ! [X5,X6,X13] :
            ( ( host(X5) = host(X6)
              & elem(m_Ack(X13,X5),queue(host(X13)))
              & setIn(X13,alive)
              & setIn(X6,alive) )
           => ~ setIn(host(X13),index(down,host(X6))) )
        & ! [X5,X6,X13] :
            ( ( host(X5) = host(X13)
              & elem(m_Ack(X13,X6),queue(host(X13)))
              & elem(m_Down(X5),queue(host(X6))) )
           => ~ setIn(X13,alive) )
        & ! [X5] :
            ( ( setIn(X5,alive)
              & ( elec_2 = index(status,host(X5))
                | elec_1 = index(status,host(X5)) ) )
           => index(elid,host(X5)) = X5 )
        & ! [X5,X6] :
            ( ( elec_1 = index(status,host(X6))
              & setIn(X6,alive) )
           => ~ elem(m_Ack(X6,X5),queue(host(X6))) )
        & ! [X5,X6] :
            ( ( elec_1 = index(status,host(X6))
              & setIn(X6,alive) )
           => ~ elem(m_Ack(X5,X6),queue(host(X5))) )
        & ! [X5,X6] :
            ( ( elem(m_Ack(X6,X5),queue(host(X6)))
              & setIn(X6,alive) )
           => leq(host(X5),index(pendack,host(X6))) )
        & ! [X5,X6] :
            ( ( host(X5) = host(X6)
              & X5 != X6 )
           => ( ~ setIn(X6,alive)
              | ~ setIn(X5,alive) ) )
        & ! [X5,X6] :
            ( ( host(X5) = host(X6)
              & leq(X6,X5)
              & ~ setIn(X5,alive) )
           => ~ setIn(X6,alive) )
        & ! [X5,X6,X13] :
            ( elem(m_Ack(X13,X5),queue(host(X6)))
           => ~ leq(host(X5),host(X13)) )
        & ! [X5,X6] :
            ( elem(m_Ldr(X6),queue(host(X5)))
           => ~ leq(host(X5),host(X6)) )
        & ! [X5,X6] :
            ( elem(m_Down(X6),queue(host(X5)))
           => ~ setIn(X6,alive) )
        & ! [X5,X6] :
            ( elem(m_Ack(X6,X5),queue(host(X6)))
           => setIn(X6,pids) ) )
     => ( setIn(X12,alive)
       => ! [X5] :
            ( host(X5) != host(X12)
           => ! [X6,X14] :
                ( host(X4) = host(X14)
               => ( host(X12) != host(X14)
                 => ( ( host(X6) = index(pendack,host(X14))
                      & elec_2 = index(status,host(X14))
                      & elem(m_Ack(X14,X6),snoc(queue(host(X14)),m_Ack(X4,X12)))
                      & leq(nbr_proc,index(pendack,host(X14)))
                      & setIn(X14,alive) )
                   => ~ ( norm = index(status,host(X5))
                        & host(X5) = index(ldr,host(X5))
                        & setIn(X5,alive) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.Dx6YHoUnUd/Vampire---4.8_17748',conj) ).

fof(f4179,plain,
    ( spl22_112
    | ~ spl22_87 ),
    inference(avatar_split_clause,[],[f4073,f1373,f1665]) ).

fof(f1373,plain,
    ( spl22_87
  <=> sK1 = sK4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_87])]) ).

fof(f4073,plain,
    ( nbr_proc = sF17
    | ~ spl22_87 ),
    inference(superposition,[],[f3830,f244]) ).

fof(f3830,plain,
    ( nbr_proc = host(sK1)
    | ~ spl22_87 ),
    inference(forward_demodulation,[],[f3796,f1105]) ).

fof(f1105,plain,
    nbr_proc = sF9,
    inference(subsumption_resolution,[],[f1088,f346]) ).

fof(f346,plain,
    leq(sF9,nbr_proc),
    inference(superposition,[],[f188,f232]) ).

fof(f232,plain,
    host(sK4) = sF9,
    introduced(function_definition,[new_symbols(definition,[sF9])]) ).

fof(f188,plain,
    ! [X0] : leq(host(X0),nbr_proc),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0] : leq(host(X0),nbr_proc),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X2] : leq(host(X2),nbr_proc),
    file('/export/starexec/sandbox/tmp/tmp.Dx6YHoUnUd/Vampire---4.8_17748',axiom_04) ).

fof(f1088,plain,
    ( nbr_proc = sF9
    | ~ leq(sF9,nbr_proc) ),
    inference(resolution,[],[f183,f253]) ).

fof(f253,plain,
    leq(nbr_proc,sF9),
    inference(forward_demodulation,[],[f243,f235]) ).

fof(f235,plain,
    sF9 = sF11,
    inference(definition_folding,[],[f158,f234,f233,f232]) ).

fof(f233,plain,
    host(sK5) = sF10,
    introduced(function_definition,[new_symbols(definition,[sF10])]) ).

fof(f234,plain,
    index(pendack,sF10) = sF11,
    introduced(function_definition,[new_symbols(definition,[sF11])]) ).

fof(f158,plain,
    host(sK4) = index(pendack,host(sK5)),
    inference(cnf_transformation,[],[f123]) ).

fof(f243,plain,
    leq(nbr_proc,sF11),
    inference(definition_folding,[],[f155,f234,f233]) ).

fof(f155,plain,
    leq(nbr_proc,index(pendack,host(sK5))),
    inference(cnf_transformation,[],[f123]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( ~ leq(X1,X0)
      | X0 = X1
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( ( ( leq(X1,X0)
          & leq(X0,X1) )
        | X0 != X1 )
      & ( X0 = X1
        | ~ leq(X1,X0)
        | ~ leq(X0,X1) ) ),
    inference(flattening,[],[f128]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( ( ( leq(X1,X0)
          & leq(X0,X1) )
        | X0 != X1 )
      & ( X0 = X1
        | ~ leq(X1,X0)
        | ~ leq(X0,X1) ) ),
    inference(nnf_transformation,[],[f84]) ).

fof(f84,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/tmp/tmp.Dx6YHoUnUd/Vampire---4.8_17748',axiom_61) ).

fof(f3796,plain,
    ( host(sK1) = sF9
    | ~ spl22_87 ),
    inference(superposition,[],[f232,f1375]) ).

fof(f1375,plain,
    ( sK1 = sK4
    | ~ spl22_87 ),
    inference(avatar_component_clause,[],[f1373]) ).

fof(f3760,plain,
    ( ~ spl22_43
    | ~ spl22_142 ),
    inference(avatar_contradiction_clause,[],[f3759]) ).

fof(f3759,plain,
    ( $false
    | ~ spl22_43
    | ~ spl22_142 ),
    inference(subsumption_resolution,[],[f3758,f962]) ).

fof(f962,plain,
    elem(sF20,sF19),
    inference(forward_demodulation,[],[f960,f252]) ).

fof(f252,plain,
    sF19 = sF21,
    inference(definition_folding,[],[f149,f251,f250,f249,f244]) ).

fof(f249,plain,
    queue(sF17) = sF19,
    introduced(function_definition,[new_symbols(definition,[sF19])]) ).

fof(f250,plain,
    m_Halt(sK2) = sF20,
    introduced(function_definition,[new_symbols(definition,[sF20])]) ).

fof(f251,plain,
    cons(sF20,sK0) = sF21,
    introduced(function_definition,[new_symbols(definition,[sF21])]) ).

fof(f149,plain,
    queue(host(sK1)) = cons(m_Halt(sK2),sK0),
    inference(cnf_transformation,[],[f123]) ).

fof(f960,plain,
    elem(sF20,sF21),
    inference(superposition,[],[f220,f251]) ).

fof(f220,plain,
    ! [X2,X1] : elem(X1,cons(X1,X2)),
    inference(equality_resolution,[],[f175]) ).

fof(f175,plain,
    ! [X2,X0,X1] :
      ( elem(X0,cons(X1,X2))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,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,[],[f126]) ).

fof(f126,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,[],[f80]) ).

fof(f80,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/tmp/tmp.Dx6YHoUnUd/Vampire---4.8_17748',axiom_46) ).

fof(f3758,plain,
    ( ~ elem(sF20,sF19)
    | ~ spl22_43
    | ~ spl22_142 ),
    inference(forward_demodulation,[],[f3748,f250]) ).

fof(f3748,plain,
    ( ~ elem(m_Halt(sK2),sF19)
    | ~ spl22_43
    | ~ spl22_142 ),
    inference(superposition,[],[f2385,f677]) ).

fof(f677,plain,
    ( sK2 = sK5
    | ~ spl22_43 ),
    inference(avatar_component_clause,[],[f675]) ).

fof(f675,plain,
    ( spl22_43
  <=> sK2 = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_43])]) ).

fof(f2385,plain,
    ( ~ elem(m_Halt(sK5),sF19)
    | ~ spl22_142 ),
    inference(forward_demodulation,[],[f2380,f249]) ).

fof(f2380,plain,
    ( ~ elem(m_Halt(sK5),queue(sF17))
    | ~ spl22_142 ),
    inference(superposition,[],[f2235,f244]) ).

fof(f2235,plain,
    ( ! [X0] : ~ elem(m_Halt(sK5),queue(host(X0)))
    | ~ spl22_142 ),
    inference(avatar_component_clause,[],[f2234]) ).

fof(f2234,plain,
    ( spl22_142
  <=> ! [X0] : ~ elem(m_Halt(sK5),queue(host(X0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_142])]) ).

fof(f3708,plain,
    ( spl22_43
    | ~ spl22_171 ),
    inference(avatar_split_clause,[],[f3707,f3495,f675]) ).

fof(f3495,plain,
    ( spl22_171
  <=> sF13 = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_171])]) ).

fof(f3707,plain,
    ( sK2 = sK5
    | ~ spl22_171 ),
    inference(subsumption_resolution,[],[f3503,f3496]) ).

fof(f3496,plain,
    ( sF13 = sF15
    | ~ spl22_171 ),
    inference(avatar_component_clause,[],[f3495]) ).

fof(f3503,plain,
    ( sF13 != sF15
    | sK2 = sK5 ),
    inference(superposition,[],[f1132,f238]) ).

fof(f238,plain,
    m_Ack(sK5,sK4) = sF13,
    introduced(function_definition,[new_symbols(definition,[sF13])]) ).

fof(f1132,plain,
    ! [X0,X1] :
      ( m_Ack(X0,X1) != sF15
      | sK2 = X0 ),
    inference(superposition,[],[f164,f240]) ).

fof(f240,plain,
    m_Ack(sK2,sK1) = sF15,
    introduced(function_definition,[new_symbols(definition,[sF15])]) ).

fof(f164,plain,
    ! [X2,X3,X0,X1] :
      ( m_Ack(X0,X2) != m_Ack(X1,X3)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0,X1,X2,X3] :
      ( m_Ack(X0,X2) != m_Ack(X1,X3)
      | X0 = X1 ),
    inference(ennf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1,X2,X3] :
      ( X0 != X1
     => m_Ack(X0,X2) != m_Ack(X1,X3) ),
    inference(rectify,[],[f32]) ).

fof(f32,axiom,
    ! [X7,X8,X9,X10] :
      ( X7 != X8
     => m_Ack(X7,X9) != m_Ack(X8,X10) ),
    file('/export/starexec/sandbox/tmp/tmp.Dx6YHoUnUd/Vampire---4.8_17748',axiom_31) ).

fof(f3694,plain,
    ( spl22_87
    | ~ spl22_171 ),
    inference(avatar_split_clause,[],[f3499,f3495,f1373]) ).

fof(f3499,plain,
    ( sF13 != sF15
    | sK1 = sK4 ),
    inference(superposition,[],[f1120,f238]) ).

fof(f1120,plain,
    ! [X0,X1] :
      ( m_Ack(X0,X1) != sF15
      | sK1 = X1 ),
    inference(superposition,[],[f163,f240]) ).

fof(f163,plain,
    ! [X2,X3,X0,X1] :
      ( m_Ack(X0,X2) != m_Ack(X1,X3)
      | X2 = X3 ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0,X1,X2,X3] :
      ( m_Ack(X0,X2) != m_Ack(X1,X3)
      | X2 = X3 ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1,X2,X3] :
      ( X2 != X3
     => m_Ack(X0,X2) != m_Ack(X1,X3) ),
    inference(rectify,[],[f33]) ).

fof(f33,axiom,
    ! [X7,X8,X9,X10] :
      ( X9 != X10
     => m_Ack(X7,X9) != m_Ack(X8,X10) ),
    file('/export/starexec/sandbox/tmp/tmp.Dx6YHoUnUd/Vampire---4.8_17748',axiom_32) ).

fof(f3689,plain,
    ( spl22_171
    | ~ spl22_1 ),
    inference(avatar_split_clause,[],[f3688,f255,f3495]) ).

fof(f255,plain,
    ( spl22_1
  <=> ! [X8,X7] :
        ( host(X7) != index(pendack,host(X8))
        | ~ setIn(X8,alive)
        | ~ elem(m_Ack(X8,X7),queue(host(X8)))
        | ~ leq(nbr_proc,index(pendack,host(X8)))
        | elec_2 != index(status,host(X8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_1])]) ).

fof(f3688,plain,
    ( sF13 = sF15
    | ~ spl22_1 ),
    inference(subsumption_resolution,[],[f3683,f901]) ).

fof(f901,plain,
    ( ~ elem(sF13,sF14)
    | ~ spl22_1 ),
    inference(forward_demodulation,[],[f894,f238]) ).

fof(f894,plain,
    ( ~ elem(m_Ack(sK5,sK4),sF14)
    | ~ spl22_1 ),
    inference(trivial_inequality_removal,[],[f892]) ).

fof(f892,plain,
    ( sF9 != sF9
    | ~ elem(m_Ack(sK5,sK4),sF14)
    | ~ spl22_1 ),
    inference(superposition,[],[f888,f232]) ).

fof(f888,plain,
    ( ! [X0] :
        ( host(X0) != sF9
        | ~ elem(m_Ack(sK5,X0),sF14) )
    | ~ spl22_1 ),
    inference(subsumption_resolution,[],[f887,f237]) ).

fof(f237,plain,
    elec_2 = sF12,
    inference(definition_folding,[],[f157,f236,f233]) ).

fof(f236,plain,
    index(status,sF10) = sF12,
    introduced(function_definition,[new_symbols(definition,[sF12])]) ).

fof(f157,plain,
    elec_2 = index(status,host(sK5)),
    inference(cnf_transformation,[],[f123]) ).

fof(f887,plain,
    ( ! [X0] :
        ( elec_2 != sF12
        | ~ elem(m_Ack(sK5,X0),sF14)
        | host(X0) != sF9 )
    | ~ spl22_1 ),
    inference(forward_demodulation,[],[f886,f236]) ).

fof(f886,plain,
    ( ! [X0] :
        ( ~ elem(m_Ack(sK5,X0),sF14)
        | host(X0) != sF9
        | elec_2 != index(status,sF10) )
    | ~ spl22_1 ),
    inference(subsumption_resolution,[],[f885,f253]) ).

fof(f885,plain,
    ( ! [X0] :
        ( ~ leq(nbr_proc,sF9)
        | ~ elem(m_Ack(sK5,X0),sF14)
        | host(X0) != sF9
        | elec_2 != index(status,sF10) )
    | ~ spl22_1 ),
    inference(forward_demodulation,[],[f884,f235]) ).

fof(f884,plain,
    ( ! [X0] :
        ( ~ leq(nbr_proc,sF11)
        | ~ elem(m_Ack(sK5,X0),sF14)
        | host(X0) != sF9
        | elec_2 != index(status,sF10) )
    | ~ spl22_1 ),
    inference(forward_demodulation,[],[f883,f234]) ).

fof(f883,plain,
    ( ! [X0] :
        ( ~ elem(m_Ack(sK5,X0),sF14)
        | host(X0) != sF9
        | ~ leq(nbr_proc,index(pendack,sF10))
        | elec_2 != index(status,sF10) )
    | ~ spl22_1 ),
    inference(forward_demodulation,[],[f882,f239]) ).

fof(f239,plain,
    queue(sF10) = sF14,
    introduced(function_definition,[new_symbols(definition,[sF14])]) ).

fof(f882,plain,
    ( ! [X0] :
        ( host(X0) != sF9
        | ~ elem(m_Ack(sK5,X0),queue(sF10))
        | ~ leq(nbr_proc,index(pendack,sF10))
        | elec_2 != index(status,sF10) )
    | ~ spl22_1 ),
    inference(forward_demodulation,[],[f881,f235]) ).

fof(f881,plain,
    ( ! [X0] :
        ( host(X0) != sF11
        | ~ elem(m_Ack(sK5,X0),queue(sF10))
        | ~ leq(nbr_proc,index(pendack,sF10))
        | elec_2 != index(status,sF10) )
    | ~ spl22_1 ),
    inference(forward_demodulation,[],[f880,f234]) ).

fof(f880,plain,
    ( ! [X0] :
        ( host(X0) != index(pendack,sF10)
        | ~ elem(m_Ack(sK5,X0),queue(sF10))
        | ~ leq(nbr_proc,index(pendack,sF10))
        | elec_2 != index(status,sF10) )
    | ~ spl22_1 ),
    inference(subsumption_resolution,[],[f876,f154]) ).

fof(f154,plain,
    setIn(sK5,alive),
    inference(cnf_transformation,[],[f123]) ).

fof(f876,plain,
    ( ! [X0] :
        ( host(X0) != index(pendack,sF10)
        | ~ setIn(sK5,alive)
        | ~ elem(m_Ack(sK5,X0),queue(sF10))
        | ~ leq(nbr_proc,index(pendack,sF10))
        | elec_2 != index(status,sF10) )
    | ~ spl22_1 ),
    inference(superposition,[],[f256,f233]) ).

fof(f256,plain,
    ( ! [X8,X7] :
        ( host(X7) != index(pendack,host(X8))
        | ~ setIn(X8,alive)
        | ~ elem(m_Ack(X8,X7),queue(host(X8)))
        | ~ leq(nbr_proc,index(pendack,host(X8)))
        | elec_2 != index(status,host(X8)) )
    | ~ spl22_1 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f3683,plain,
    ( sF13 = sF15
    | elem(sF13,sF14) ),
    inference(resolution,[],[f1152,f242]) ).

fof(f242,plain,
    elem(sF13,sF16),
    inference(definition_folding,[],[f156,f241,f240,f239,f233,f238]) ).

fof(f241,plain,
    snoc(sF14,sF15) = sF16,
    introduced(function_definition,[new_symbols(definition,[sF16])]) ).

fof(f156,plain,
    elem(m_Ack(sK5,sK4),snoc(queue(host(sK5)),m_Ack(sK2,sK1))),
    inference(cnf_transformation,[],[f123]) ).

fof(f1152,plain,
    ! [X0] :
      ( ~ elem(X0,sF16)
      | sF15 = X0
      | elem(X0,sF14) ),
    inference(superposition,[],[f171,f241]) ).

fof(f171,plain,
    ! [X2,X0,X1] :
      ( ~ elem(X0,snoc(X2,X1))
      | X0 = X1
      | elem(X0,X2) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ! [X0,X1,X2] :
      ( ( elem(X0,snoc(X2,X1))
        | ( ~ elem(X0,X2)
          & X0 != X1 ) )
      & ( elem(X0,X2)
        | X0 = X1
        | ~ elem(X0,snoc(X2,X1)) ) ),
    inference(flattening,[],[f124]) ).

fof(f124,plain,
    ! [X0,X1,X2] :
      ( ( elem(X0,snoc(X2,X1))
        | ( ~ elem(X0,X2)
          & X0 != X1 ) )
      & ( elem(X0,X2)
        | X0 = X1
        | ~ elem(X0,snoc(X2,X1)) ) ),
    inference(nnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1,X2] :
      ( elem(X0,snoc(X2,X1))
    <=> ( elem(X0,X2)
        | X0 = X1 ) ),
    inference(rectify,[],[f48]) ).

fof(f48,axiom,
    ! [X4,X5,X3] :
      ( elem(X4,snoc(X3,X5))
    <=> ( elem(X4,X3)
        | X4 = X5 ) ),
    file('/export/starexec/sandbox/tmp/tmp.Dx6YHoUnUd/Vampire---4.8_17748',axiom_47) ).

fof(f2236,plain,
    ( spl22_142
    | spl22_133 ),
    inference(avatar_split_clause,[],[f2232,f2160,f2234]) ).

fof(f2160,plain,
    ( spl22_133
  <=> leq(nbr_proc,sF6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_133])]) ).

fof(f2232,plain,
    ! [X0] :
      ( leq(nbr_proc,sF6)
      | ~ elem(m_Halt(sK5),queue(host(X0))) ),
    inference(forward_demodulation,[],[f2231,f1105]) ).

fof(f2231,plain,
    ! [X0] :
      ( leq(sF9,sF6)
      | ~ elem(m_Halt(sK5),queue(host(X0))) ),
    inference(forward_demodulation,[],[f2230,f235]) ).

fof(f2230,plain,
    ! [X0] :
      ( leq(sF11,sF6)
      | ~ elem(m_Halt(sK5),queue(host(X0))) ),
    inference(forward_demodulation,[],[f2136,f234]) ).

fof(f2136,plain,
    ! [X0] :
      ( ~ elem(m_Halt(sK5),queue(host(X0)))
      | leq(index(pendack,sF10),sF6) ),
    inference(subsumption_resolution,[],[f2135,f237]) ).

fof(f2135,plain,
    ! [X0] :
      ( elec_2 != sF12
      | ~ elem(m_Halt(sK5),queue(host(X0)))
      | leq(index(pendack,sF10),sF6) ),
    inference(forward_demodulation,[],[f2134,f236]) ).

fof(f2134,plain,
    ! [X0] :
      ( elec_2 != index(status,sF10)
      | ~ elem(m_Halt(sK5),queue(host(X0)))
      | leq(index(pendack,sF10),sF6) ),
    inference(subsumption_resolution,[],[f2117,f154]) ).

fof(f2117,plain,
    ! [X0] :
      ( elec_2 != index(status,sF10)
      | ~ elem(m_Halt(sK5),queue(host(X0)))
      | ~ setIn(sK5,alive)
      | leq(index(pendack,sF10),sF6) ),
    inference(superposition,[],[f321,f233]) ).

fof(f321,plain,
    ! [X0,X1] :
      ( elec_2 != index(status,host(X0))
      | ~ elem(m_Halt(X0),queue(host(X1)))
      | ~ setIn(X0,alive)
      | leq(index(pendack,host(X0)),sF6) ),
    inference(subsumption_resolution,[],[f320,f229]) ).

fof(f229,plain,
    norm = sF7,
    inference(definition_folding,[],[f161,f228,f227]) ).

fof(f228,plain,
    index(status,sF6) = sF7,
    introduced(function_definition,[new_symbols(definition,[sF7])]) ).

fof(f161,plain,
    norm = index(status,host(sK3)),
    inference(cnf_transformation,[],[f123]) ).

fof(f320,plain,
    ! [X0,X1] :
      ( norm != sF7
      | elec_2 != index(status,host(X0))
      | ~ elem(m_Halt(X0),queue(host(X1)))
      | ~ setIn(X0,alive)
      | leq(index(pendack,host(X0)),sF6) ),
    inference(forward_demodulation,[],[f319,f228]) ).

fof(f319,plain,
    ! [X0,X1] :
      ( norm != index(status,sF6)
      | elec_2 != index(status,host(X0))
      | ~ elem(m_Halt(X0),queue(host(X1)))
      | ~ setIn(X0,alive)
      | leq(index(pendack,host(X0)),sF6) ),
    inference(subsumption_resolution,[],[f318,f231]) ).

fof(f231,plain,
    sF6 = sF8,
    inference(definition_folding,[],[f160,f230,f227,f227]) ).

fof(f230,plain,
    index(ldr,sF6) = sF8,
    introduced(function_definition,[new_symbols(definition,[sF8])]) ).

fof(f160,plain,
    host(sK3) = index(ldr,host(sK3)),
    inference(cnf_transformation,[],[f123]) ).

fof(f318,plain,
    ! [X0,X1] :
      ( sF6 != sF8
      | norm != index(status,sF6)
      | elec_2 != index(status,host(X0))
      | ~ elem(m_Halt(X0),queue(host(X1)))
      | ~ setIn(X0,alive)
      | leq(index(pendack,host(X0)),sF6) ),
    inference(forward_demodulation,[],[f317,f230]) ).

fof(f317,plain,
    ! [X0,X1] :
      ( sF6 != index(ldr,sF6)
      | norm != index(status,sF6)
      | elec_2 != index(status,host(X0))
      | ~ elem(m_Halt(X0),queue(host(X1)))
      | ~ setIn(X0,alive)
      | leq(index(pendack,host(X0)),sF6) ),
    inference(subsumption_resolution,[],[f284,f159]) ).

fof(f159,plain,
    setIn(sK3,alive),
    inference(cnf_transformation,[],[f123]) ).

fof(f284,plain,
    ! [X0,X1] :
      ( sF6 != index(ldr,sF6)
      | norm != index(status,sF6)
      | ~ setIn(sK3,alive)
      | elec_2 != index(status,host(X0))
      | ~ elem(m_Halt(X0),queue(host(X1)))
      | ~ setIn(X0,alive)
      | leq(index(pendack,host(X0)),sF6) ),
    inference(superposition,[],[f147,f227]) ).

fof(f147,plain,
    ! [X10,X11,X9] :
      ( host(X9) != index(ldr,host(X9))
      | norm != index(status,host(X9))
      | ~ setIn(X9,alive)
      | elec_2 != index(status,host(X11))
      | ~ elem(m_Halt(X11),queue(host(X10)))
      | ~ setIn(X11,alive)
      | leq(index(pendack,host(X11)),host(X9)) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f2206,plain,
    ( spl22_135
    | ~ spl22_133 ),
    inference(avatar_split_clause,[],[f2205,f2160,f2175]) ).

fof(f2205,plain,
    ( ~ leq(nbr_proc,sF6)
    | nbr_proc = sF6 ),
    inference(forward_demodulation,[],[f2204,f1105]) ).

fof(f2204,plain,
    ( nbr_proc = sF6
    | ~ leq(sF9,sF6) ),
    inference(forward_demodulation,[],[f1125,f1105]) ).

fof(f1125,plain,
    ( sF6 = sF9
    | ~ leq(sF9,sF6) ),
    inference(resolution,[],[f1076,f183]) ).

fof(f1076,plain,
    leq(sF6,sF9),
    inference(superposition,[],[f1071,f227]) ).

fof(f1071,plain,
    ! [X0] : leq(host(X0),sF9),
    inference(resolution,[],[f1060,f188]) ).

fof(f1060,plain,
    ! [X0] :
      ( ~ leq(X0,nbr_proc)
      | leq(X0,sF9) ),
    inference(resolution,[],[f182,f253]) ).

fof(f182,plain,
    ! [X2,X0,X1] :
      ( ~ leq(X1,X2)
      | leq(X0,X2)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(flattening,[],[f116]) ).

fof(f116,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,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/tmp/tmp.Dx6YHoUnUd/Vampire---4.8_17748',axiom_62) ).

fof(f871,plain,
    ~ spl22_2,
    inference(avatar_contradiction_clause,[],[f870]) ).

fof(f870,plain,
    ( $false
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f869,f231]) ).

fof(f869,plain,
    ( sF6 != sF8
    | ~ spl22_2 ),
    inference(superposition,[],[f324,f230]) ).

fof(f324,plain,
    ( sF6 != index(ldr,sF6)
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f323,f229]) ).

fof(f323,plain,
    ( norm != sF7
    | sF6 != index(ldr,sF6)
    | ~ spl22_2 ),
    inference(forward_demodulation,[],[f322,f228]) ).

fof(f322,plain,
    ( sF6 != index(ldr,sF6)
    | norm != index(status,sF6)
    | ~ spl22_2 ),
    inference(subsumption_resolution,[],[f286,f159]) ).

fof(f286,plain,
    ( sF6 != index(ldr,sF6)
    | ~ setIn(sK3,alive)
    | norm != index(status,sF6)
    | ~ spl22_2 ),
    inference(superposition,[],[f259,f227]) ).

fof(f259,plain,
    ( ! [X6] :
        ( host(X6) != index(ldr,host(X6))
        | ~ setIn(X6,alive)
        | norm != index(status,host(X6)) )
    | ~ spl22_2 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f258,plain,
    ( spl22_2
  <=> ! [X6] :
        ( norm != index(status,host(X6))
        | ~ setIn(X6,alive)
        | host(X6) != index(ldr,host(X6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_2])]) ).

fof(f260,plain,
    ( spl22_1
    | spl22_2 ),
    inference(avatar_split_clause,[],[f148,f258,f255]) ).

fof(f148,plain,
    ! [X8,X6,X7] :
      ( norm != index(status,host(X6))
      | host(X6) != index(ldr,host(X6))
      | ~ setIn(X6,alive)
      | host(X7) != index(pendack,host(X8))
      | elec_2 != index(status,host(X8))
      | ~ leq(nbr_proc,index(pendack,host(X8)))
      | ~ elem(m_Ack(X8,X7),queue(host(X8)))
      | ~ setIn(X8,alive) ),
    inference(cnf_transformation,[],[f123]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SWV457+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36  % Computer : n012.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 21:06:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.Dx6YHoUnUd/Vampire---4.8_17748
% 0.55/0.74  % (18016)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.74  % (18018)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74  % (18019)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.74  % (18020)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.74  % (18017)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.55/0.74  % (18021)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.74  % (18022)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.55/0.74  % (18023)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.58/0.76  % (18016)Instruction limit reached!
% 0.58/0.76  % (18016)------------------------------
% 0.58/0.76  % (18016)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (18016)Termination reason: Unknown
% 0.58/0.76  % (18016)Termination phase: Saturation
% 0.58/0.76  
% 0.58/0.76  % (18016)Memory used [KB]: 1429
% 0.58/0.76  % (18016)Time elapsed: 0.015 s
% 0.58/0.76  % (18016)Instructions burned: 36 (million)
% 0.58/0.76  % (18016)------------------------------
% 0.58/0.76  % (18016)------------------------------
% 0.58/0.76  % (18019)Instruction limit reached!
% 0.58/0.76  % (18019)------------------------------
% 0.58/0.76  % (18019)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (18019)Termination reason: Unknown
% 0.58/0.76  % (18019)Termination phase: Saturation
% 0.58/0.76  
% 0.58/0.76  % (18019)Memory used [KB]: 1497
% 0.58/0.76  % (18019)Time elapsed: 0.017 s
% 0.58/0.76  % (18019)Instructions burned: 33 (million)
% 0.58/0.76  % (18019)------------------------------
% 0.58/0.76  % (18019)------------------------------
% 0.58/0.76  % (18025)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.58/0.76  % (18020)Instruction limit reached!
% 0.58/0.76  % (18020)------------------------------
% 0.58/0.76  % (18020)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (18020)Termination reason: Unknown
% 0.58/0.76  % (18020)Termination phase: Saturation
% 0.58/0.76  
% 0.58/0.76  % (18020)Memory used [KB]: 1529
% 0.58/0.76  % (18020)Time elapsed: 0.022 s
% 0.58/0.76  % (18020)Instructions burned: 34 (million)
% 0.58/0.76  % (18020)------------------------------
% 0.58/0.76  % (18020)------------------------------
% 0.58/0.77  % (18026)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.58/0.77  % (18021)Instruction limit reached!
% 0.58/0.77  % (18021)------------------------------
% 0.58/0.77  % (18021)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (18021)Termination reason: Unknown
% 0.58/0.77  % (18021)Termination phase: Saturation
% 0.58/0.77  
% 0.58/0.77  % (18021)Memory used [KB]: 1588
% 0.58/0.77  % (18021)Time elapsed: 0.028 s
% 0.58/0.77  % (18021)Instructions burned: 45 (million)
% 0.58/0.77  % (18021)------------------------------
% 0.58/0.77  % (18021)------------------------------
% 0.58/0.77  % (18027)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.58/0.77  % (18017)Instruction limit reached!
% 0.58/0.77  % (18017)------------------------------
% 0.58/0.77  % (18017)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (18017)Termination reason: Unknown
% 0.58/0.77  % (18017)Termination phase: Saturation
% 0.58/0.77  
% 0.58/0.77  % (18017)Memory used [KB]: 1682
% 0.58/0.77  % (18017)Time elapsed: 0.031 s
% 0.58/0.77  % (18017)Instructions burned: 52 (million)
% 0.58/0.77  % (18017)------------------------------
% 0.58/0.77  % (18017)------------------------------
% 0.58/0.77  % (18023)Instruction limit reached!
% 0.58/0.77  % (18023)------------------------------
% 0.58/0.77  % (18023)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (18023)Termination reason: Unknown
% 0.58/0.77  % (18023)Termination phase: Saturation
% 0.58/0.77  
% 0.58/0.77  % (18023)Memory used [KB]: 1755
% 0.58/0.77  % (18023)Time elapsed: 0.034 s
% 0.58/0.77  % (18023)Instructions burned: 57 (million)
% 0.58/0.77  % (18023)------------------------------
% 0.58/0.77  % (18023)------------------------------
% 0.58/0.77  % (18029)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.58/0.78  % (18025)Instruction limit reached!
% 0.58/0.78  % (18025)------------------------------
% 0.58/0.78  % (18025)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (18025)Termination reason: Unknown
% 0.58/0.78  % (18025)Termination phase: Saturation
% 0.58/0.78  
% 0.58/0.78  % (18025)Memory used [KB]: 1798
% 0.58/0.78  % (18025)Time elapsed: 0.019 s
% 0.58/0.78  % (18025)Instructions burned: 57 (million)
% 0.58/0.78  % (18025)------------------------------
% 0.58/0.78  % (18025)------------------------------
% 0.58/0.78  % (18030)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.58/0.78  % (18028)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.58/0.79  % (18018)Instruction limit reached!
% 0.58/0.79  % (18018)------------------------------
% 0.58/0.79  % (18018)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.79  % (18018)Termination reason: Unknown
% 0.58/0.79  % (18018)Termination phase: Saturation
% 0.58/0.79  
% 0.58/0.79  % (18018)Memory used [KB]: 1827
% 0.58/0.79  % (18018)Time elapsed: 0.049 s
% 0.58/0.79  % (18018)Instructions burned: 78 (million)
% 0.58/0.79  % (18018)------------------------------
% 0.58/0.79  % (18018)------------------------------
% 0.58/0.79  % (18022)Instruction limit reached!
% 0.58/0.79  % (18022)------------------------------
% 0.58/0.79  % (18022)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.79  % (18022)Termination reason: Unknown
% 0.58/0.79  % (18022)Termination phase: Saturation
% 0.58/0.79  
% 0.58/0.79  % (18022)Memory used [KB]: 2031
% 0.58/0.79  % (18022)Time elapsed: 0.050 s
% 0.58/0.79  % (18022)Instructions burned: 83 (million)
% 0.58/0.79  % (18022)------------------------------
% 0.58/0.79  % (18022)------------------------------
% 0.58/0.79  % (18031)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.58/0.79  % (18032)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.58/0.79  % (18033)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.58/0.79  % (18026)Instruction limit reached!
% 0.58/0.79  % (18026)------------------------------
% 0.58/0.79  % (18026)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.79  % (18026)Termination reason: Unknown
% 0.58/0.79  % (18026)Termination phase: Saturation
% 0.58/0.79  
% 0.58/0.79  % (18026)Memory used [KB]: 1590
% 0.58/0.79  % (18026)Time elapsed: 0.031 s
% 0.58/0.79  % (18026)Instructions burned: 51 (million)
% 0.58/0.79  % (18026)------------------------------
% 0.58/0.79  % (18026)------------------------------
% 0.58/0.80  % (18034)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.58/0.80  % (18030)Instruction limit reached!
% 0.58/0.80  % (18030)------------------------------
% 0.58/0.80  % (18030)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.80  % (18030)Termination reason: Unknown
% 0.58/0.80  % (18030)Termination phase: Saturation
% 0.58/0.80  
% 0.58/0.80  % (18030)Memory used [KB]: 1491
% 0.58/0.80  % (18030)Time elapsed: 0.025 s
% 0.58/0.80  % (18030)Instructions burned: 42 (million)
% 0.58/0.80  % (18030)------------------------------
% 0.58/0.80  % (18030)------------------------------
% 0.58/0.80  % (18028)Instruction limit reached!
% 0.58/0.80  % (18028)------------------------------
% 0.58/0.80  % (18028)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.80  % (18028)Termination reason: Unknown
% 0.58/0.80  % (18028)Termination phase: Saturation
% 0.58/0.80  
% 0.58/0.80  % (18028)Memory used [KB]: 1613
% 0.58/0.80  % (18028)Time elapsed: 0.043 s
% 0.58/0.80  % (18028)Instructions burned: 53 (million)
% 0.58/0.80  % (18028)------------------------------
% 0.58/0.80  % (18028)------------------------------
% 0.58/0.81  % (18036)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.58/0.81  % (18035)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.58/0.82  % (18036)Instruction limit reached!
% 0.58/0.82  % (18036)------------------------------
% 0.58/0.82  % (18036)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.82  % (18036)Termination reason: Unknown
% 0.58/0.82  % (18036)Termination phase: Saturation
% 0.58/0.82  
% 0.58/0.82  % (18036)Memory used [KB]: 1460
% 0.58/0.82  % (18036)Time elapsed: 0.021 s
% 0.58/0.82  % (18036)Instructions burned: 33 (million)
% 0.58/0.82  % (18036)------------------------------
% 0.58/0.82  % (18036)------------------------------
% 0.58/0.83  % (18037)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.58/0.84  % (18027)First to succeed.
% 0.95/0.84  % (18027)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18003"
% 0.95/0.84  % (18035)Instruction limit reached!
% 0.95/0.84  % (18035)------------------------------
% 0.95/0.84  % (18035)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.95/0.84  % (18035)Termination reason: Unknown
% 0.95/0.84  % (18035)Termination phase: Saturation
% 0.95/0.84  
% 0.95/0.84  % (18035)Memory used [KB]: 2172
% 0.95/0.84  % (18035)Time elapsed: 0.039 s
% 0.95/0.84  % (18035)Instructions burned: 62 (million)
% 0.95/0.84  % (18035)------------------------------
% 0.95/0.84  % (18035)------------------------------
% 0.95/0.85  % (18027)Refutation found. Thanks to Tanya!
% 0.95/0.85  % SZS status Theorem for Vampire---4
% 0.95/0.85  % SZS output start Proof for Vampire---4
% See solution above
% 0.95/0.85  % (18027)------------------------------
% 0.95/0.85  % (18027)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.95/0.85  % (18027)Termination reason: Refutation
% 0.95/0.85  
% 0.95/0.85  % (18027)Memory used [KB]: 2071
% 0.95/0.85  % (18027)Time elapsed: 0.077 s
% 0.95/0.85  % (18027)Instructions burned: 130 (million)
% 0.95/0.85  % (18003)Success in time 0.472 s
% 0.95/0.85  % Vampire---4.8 exiting
%------------------------------------------------------------------------------