TSTP Solution File: SWV473+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV473+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:59:11 EDT 2022

% Result   : Theorem 1.97s 0.60s
% Output   : Refutation 1.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   81 (  28 unt;   0 def)
%            Number of atoms       :  909 ( 461 equ)
%            Maximal formula atoms :  134 (  11 avg)
%            Number of connectives : 1371 ( 543   ~; 444   |; 324   &)
%                                         (   2 <=>;  58  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   36 (   9 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   32 (  32 usr;  20 con; 0-2 aty)
%            Number of variables   :  455 ( 403   !;  52   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f752,plain,
    $false,
    inference(subsumption_resolution,[],[f749,f748]) ).

fof(f748,plain,
    sK6(sK10,sK8) != host(sK8),
    inference(resolution,[],[f744,f535]) ).

fof(f535,plain,
    ! [X0] :
      ( ~ elem(m_Down(X0),queue(nbr_proc))
      | host(X0) != sK6(sK10,X0) ),
    inference(subsumption_resolution,[],[f534,f339]) ).

fof(f339,plain,
    nbr_proc = host(sK10),
    inference(forward_demodulation,[],[f246,f250]) ).

fof(f250,plain,
    nbr_proc = host(sK9),
    inference(cnf_transformation,[],[f169]) ).

fof(f169,plain,
    ( ! [X4,X5,X6,X7] :
        ( ~ setIn(host(X6),index(down,host(X7)))
        | ~ setIn(X7,alive)
        | ~ setIn(X4,alive)
        | host(X5) != host(X7)
        | host(X4) != host(X6)
        | host(X4) = host(X7)
        | ~ elem(m_Down(X5),queue(host(X4))) )
    & ! [X8] :
        ( ( elec_1 != index(status,host(X8))
          & elec_2 != index(status,host(X8)) )
        | ~ setIn(X8,alive)
        | index(elid,host(X8)) = X8 )
    & ! [X9,X10,X11] :
        ( wait != index(status,host(X9))
        | host(X9) = host(X10)
        | ~ setIn(X9,alive)
        | ~ elem(m_Down(X11),queue(host(X10)))
        | host(X10) != host(index(elid,host(X9)))
        | host(X9) != host(X11) )
    & ! [X12,X13,X14] :
        ( host(X14) != index(ldr,host(X13))
        | host(X13) != host(X12)
        | norm != index(status,host(X13))
        | host(X13) = host(X14)
        | ~ setIn(X13,alive)
        | ~ elem(m_Down(X12),queue(host(X14))) )
    & ! [X15,X16] :
        ( ~ setIn(X15,alive)
        | X15 = X16
        | ~ setIn(X16,alive)
        | host(X15) != host(X16) )
    & ! [X17,X18,X19,X20] :
        ( host(X17) != host(X20)
        | ~ elem(m_Down(X17),queue(host(X18)))
        | host(X18) = host(X20)
        | host(X19) != host(X18)
        | ~ setIn(X18,alive)
        | ~ elem(m_Down(X19),queue(host(X20)))
        | ~ setIn(X20,alive) )
    & ( index(pendack,host(sK2)) != host(sK3)
      | sK4 != index(elid,host(sK2))
      | elec_2 != index(status,host(sK2)) )
    & setIn(sK2,alive)
    & ! [X21,X22] :
        ( ~ elem(m_Down(X21),queue(host(X22)))
        | host(X21) != host(X22) )
    & cons(m_Ack(sK4,sK3),sK5) = queue(host(sK2))
    & ! [X23,X24] :
        ( nbr_proc != host(X23)
        | ~ elem(m_NotNorm(X24),queue(host(X23))) )
    & ! [X25,X26] :
        ( ~ leq(host(X26),host(X25))
        | ~ elem(m_Ldr(X25),queue(host(X26))) )
    & ! [X27,X28,X29,X30] :
        ( ~ elem(m_Down(X28),queue(host(X27)))
        | ~ setIn(X29,alive)
        | nbr_proc != host(X27)
        | ( leq(s(zero),sK6(X27,X28))
          & ~ leq(host(X27),sK6(X27,X28))
          & sK6(X27,X28) != host(X28)
          & ~ setIn(sK6(X27,X28),index(down,host(X27))) )
        | ~ elem(m_Down(X30),queue(host(X29)))
        | elec_1 != index(status,host(X27))
        | host(X27) != host(X30) )
    & host(sK9) = host(sK2)
    & nbr_proc = host(sK9)
    & elem(m_Down(sK10),queue(host(sK7)))
    & elec_1 = index(status,host(sK9))
    & setIn(sK7,alive)
    & host(sK9) = host(sK10)
    & elem(m_Down(sK8),sK5)
    & ! [X36] :
        ( setIn(X36,index(down,host(sK9)))
        | leq(host(sK9),X36)
        | host(sK8) = X36
        | ~ leq(s(zero),X36) )
    & host(sK7) != host(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f164,f168,f167,f166,f165]) ).

fof(f165,plain,
    ( ? [X0,X1,X2,X3] :
        ( ! [X4,X5,X6,X7] :
            ( ~ setIn(host(X6),index(down,host(X7)))
            | ~ setIn(X7,alive)
            | ~ setIn(X4,alive)
            | host(X5) != host(X7)
            | host(X4) != host(X6)
            | host(X4) = host(X7)
            | ~ elem(m_Down(X5),queue(host(X4))) )
        & ! [X8] :
            ( ( elec_1 != index(status,host(X8))
              & elec_2 != index(status,host(X8)) )
            | ~ setIn(X8,alive)
            | index(elid,host(X8)) = X8 )
        & ! [X9,X10,X11] :
            ( wait != index(status,host(X9))
            | host(X9) = host(X10)
            | ~ setIn(X9,alive)
            | ~ elem(m_Down(X11),queue(host(X10)))
            | host(X10) != host(index(elid,host(X9)))
            | host(X9) != host(X11) )
        & ! [X12,X13,X14] :
            ( host(X14) != index(ldr,host(X13))
            | host(X13) != host(X12)
            | norm != index(status,host(X13))
            | host(X13) = host(X14)
            | ~ setIn(X13,alive)
            | ~ elem(m_Down(X12),queue(host(X14))) )
        & ! [X15,X16] :
            ( ~ setIn(X15,alive)
            | X15 = X16
            | ~ setIn(X16,alive)
            | host(X15) != host(X16) )
        & ! [X17,X18,X19,X20] :
            ( host(X17) != host(X20)
            | ~ elem(m_Down(X17),queue(host(X18)))
            | host(X18) = host(X20)
            | host(X19) != host(X18)
            | ~ setIn(X18,alive)
            | ~ elem(m_Down(X19),queue(host(X20)))
            | ~ setIn(X20,alive) )
        & ( host(X1) != index(pendack,host(X0))
          | index(elid,host(X0)) != X2
          | elec_2 != index(status,host(X0)) )
        & setIn(X0,alive)
        & ! [X21,X22] :
            ( ~ elem(m_Down(X21),queue(host(X22)))
            | host(X21) != host(X22) )
        & queue(host(X0)) = cons(m_Ack(X2,X1),X3)
        & ! [X23,X24] :
            ( nbr_proc != host(X23)
            | ~ elem(m_NotNorm(X24),queue(host(X23))) )
        & ! [X25,X26] :
            ( ~ leq(host(X26),host(X25))
            | ~ elem(m_Ldr(X25),queue(host(X26))) )
        & ! [X27,X28,X29,X30] :
            ( ~ elem(m_Down(X28),queue(host(X27)))
            | ~ setIn(X29,alive)
            | nbr_proc != host(X27)
            | ? [X31] :
                ( leq(s(zero),X31)
                & ~ leq(host(X27),X31)
                & host(X28) != X31
                & ~ setIn(X31,index(down,host(X27))) )
            | ~ elem(m_Down(X30),queue(host(X29)))
            | elec_1 != index(status,host(X27))
            | host(X27) != host(X30) )
        & ? [X32] :
            ( ? [X33,X34,X35] :
                ( host(X0) = host(X34)
                & nbr_proc = host(X34)
                & elem(m_Down(X35),queue(host(X32)))
                & elec_1 = index(status,host(X34))
                & setIn(X32,alive)
                & host(X34) = host(X35)
                & elem(m_Down(X33),X3)
                & ! [X36] :
                    ( setIn(X36,index(down,host(X34)))
                    | leq(host(X34),X36)
                    | host(X33) = X36
                    | ~ leq(s(zero),X36) ) )
            & host(X0) != host(X32) ) )
   => ( ! [X4,X5,X6,X7] :
          ( ~ setIn(host(X6),index(down,host(X7)))
          | ~ setIn(X7,alive)
          | ~ setIn(X4,alive)
          | host(X5) != host(X7)
          | host(X4) != host(X6)
          | host(X4) = host(X7)
          | ~ elem(m_Down(X5),queue(host(X4))) )
      & ! [X8] :
          ( ( elec_1 != index(status,host(X8))
            & elec_2 != index(status,host(X8)) )
          | ~ setIn(X8,alive)
          | index(elid,host(X8)) = X8 )
      & ! [X9,X10,X11] :
          ( wait != index(status,host(X9))
          | host(X9) = host(X10)
          | ~ setIn(X9,alive)
          | ~ elem(m_Down(X11),queue(host(X10)))
          | host(X10) != host(index(elid,host(X9)))
          | host(X9) != host(X11) )
      & ! [X12,X13,X14] :
          ( host(X14) != index(ldr,host(X13))
          | host(X13) != host(X12)
          | norm != index(status,host(X13))
          | host(X13) = host(X14)
          | ~ setIn(X13,alive)
          | ~ elem(m_Down(X12),queue(host(X14))) )
      & ! [X15,X16] :
          ( ~ setIn(X15,alive)
          | X15 = X16
          | ~ setIn(X16,alive)
          | host(X15) != host(X16) )
      & ! [X17,X18,X19,X20] :
          ( host(X17) != host(X20)
          | ~ elem(m_Down(X17),queue(host(X18)))
          | host(X18) = host(X20)
          | host(X19) != host(X18)
          | ~ setIn(X18,alive)
          | ~ elem(m_Down(X19),queue(host(X20)))
          | ~ setIn(X20,alive) )
      & ( index(pendack,host(sK2)) != host(sK3)
        | sK4 != index(elid,host(sK2))
        | elec_2 != index(status,host(sK2)) )
      & setIn(sK2,alive)
      & ! [X21,X22] :
          ( ~ elem(m_Down(X21),queue(host(X22)))
          | host(X21) != host(X22) )
      & cons(m_Ack(sK4,sK3),sK5) = queue(host(sK2))
      & ! [X23,X24] :
          ( nbr_proc != host(X23)
          | ~ elem(m_NotNorm(X24),queue(host(X23))) )
      & ! [X25,X26] :
          ( ~ leq(host(X26),host(X25))
          | ~ elem(m_Ldr(X25),queue(host(X26))) )
      & ! [X27,X28,X29,X30] :
          ( ~ elem(m_Down(X28),queue(host(X27)))
          | ~ setIn(X29,alive)
          | nbr_proc != host(X27)
          | ? [X31] :
              ( leq(s(zero),X31)
              & ~ leq(host(X27),X31)
              & host(X28) != X31
              & ~ setIn(X31,index(down,host(X27))) )
          | ~ elem(m_Down(X30),queue(host(X29)))
          | elec_1 != index(status,host(X27))
          | host(X27) != host(X30) )
      & ? [X32] :
          ( ? [X35,X34,X33] :
              ( host(X34) = host(sK2)
              & nbr_proc = host(X34)
              & elem(m_Down(X35),queue(host(X32)))
              & elec_1 = index(status,host(X34))
              & setIn(X32,alive)
              & host(X34) = host(X35)
              & elem(m_Down(X33),sK5)
              & ! [X36] :
                  ( setIn(X36,index(down,host(X34)))
                  | leq(host(X34),X36)
                  | host(X33) = X36
                  | ~ leq(s(zero),X36) ) )
          & host(X32) != host(sK2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f166,plain,
    ! [X27,X28] :
      ( ? [X31] :
          ( leq(s(zero),X31)
          & ~ leq(host(X27),X31)
          & host(X28) != X31
          & ~ setIn(X31,index(down,host(X27))) )
     => ( leq(s(zero),sK6(X27,X28))
        & ~ leq(host(X27),sK6(X27,X28))
        & sK6(X27,X28) != host(X28)
        & ~ setIn(sK6(X27,X28),index(down,host(X27))) ) ),
    introduced(choice_axiom,[]) ).

fof(f167,plain,
    ( ? [X32] :
        ( ? [X35,X34,X33] :
            ( host(X34) = host(sK2)
            & nbr_proc = host(X34)
            & elem(m_Down(X35),queue(host(X32)))
            & elec_1 = index(status,host(X34))
            & setIn(X32,alive)
            & host(X34) = host(X35)
            & elem(m_Down(X33),sK5)
            & ! [X36] :
                ( setIn(X36,index(down,host(X34)))
                | leq(host(X34),X36)
                | host(X33) = X36
                | ~ leq(s(zero),X36) ) )
        & host(X32) != host(sK2) )
   => ( ? [X35,X34,X33] :
          ( host(X34) = host(sK2)
          & nbr_proc = host(X34)
          & elem(m_Down(X35),queue(host(sK7)))
          & elec_1 = index(status,host(X34))
          & setIn(sK7,alive)
          & host(X34) = host(X35)
          & elem(m_Down(X33),sK5)
          & ! [X36] :
              ( setIn(X36,index(down,host(X34)))
              | leq(host(X34),X36)
              | host(X33) = X36
              | ~ leq(s(zero),X36) ) )
      & host(sK7) != host(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f168,plain,
    ( ? [X35,X34,X33] :
        ( host(X34) = host(sK2)
        & nbr_proc = host(X34)
        & elem(m_Down(X35),queue(host(sK7)))
        & elec_1 = index(status,host(X34))
        & setIn(sK7,alive)
        & host(X34) = host(X35)
        & elem(m_Down(X33),sK5)
        & ! [X36] :
            ( setIn(X36,index(down,host(X34)))
            | leq(host(X34),X36)
            | host(X33) = X36
            | ~ leq(s(zero),X36) ) )
   => ( host(sK9) = host(sK2)
      & nbr_proc = host(sK9)
      & elem(m_Down(sK10),queue(host(sK7)))
      & elec_1 = index(status,host(sK9))
      & setIn(sK7,alive)
      & host(sK9) = host(sK10)
      & elem(m_Down(sK8),sK5)
      & ! [X36] :
          ( setIn(X36,index(down,host(sK9)))
          | leq(host(sK9),X36)
          | host(sK8) = X36
          | ~ leq(s(zero),X36) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f164,plain,
    ? [X0,X1,X2,X3] :
      ( ! [X4,X5,X6,X7] :
          ( ~ setIn(host(X6),index(down,host(X7)))
          | ~ setIn(X7,alive)
          | ~ setIn(X4,alive)
          | host(X5) != host(X7)
          | host(X4) != host(X6)
          | host(X4) = host(X7)
          | ~ elem(m_Down(X5),queue(host(X4))) )
      & ! [X8] :
          ( ( elec_1 != index(status,host(X8))
            & elec_2 != index(status,host(X8)) )
          | ~ setIn(X8,alive)
          | index(elid,host(X8)) = X8 )
      & ! [X9,X10,X11] :
          ( wait != index(status,host(X9))
          | host(X9) = host(X10)
          | ~ setIn(X9,alive)
          | ~ elem(m_Down(X11),queue(host(X10)))
          | host(X10) != host(index(elid,host(X9)))
          | host(X9) != host(X11) )
      & ! [X12,X13,X14] :
          ( host(X14) != index(ldr,host(X13))
          | host(X13) != host(X12)
          | norm != index(status,host(X13))
          | host(X13) = host(X14)
          | ~ setIn(X13,alive)
          | ~ elem(m_Down(X12),queue(host(X14))) )
      & ! [X15,X16] :
          ( ~ setIn(X15,alive)
          | X15 = X16
          | ~ setIn(X16,alive)
          | host(X15) != host(X16) )
      & ! [X17,X18,X19,X20] :
          ( host(X17) != host(X20)
          | ~ elem(m_Down(X17),queue(host(X18)))
          | host(X18) = host(X20)
          | host(X19) != host(X18)
          | ~ setIn(X18,alive)
          | ~ elem(m_Down(X19),queue(host(X20)))
          | ~ setIn(X20,alive) )
      & ( host(X1) != index(pendack,host(X0))
        | index(elid,host(X0)) != X2
        | elec_2 != index(status,host(X0)) )
      & setIn(X0,alive)
      & ! [X21,X22] :
          ( ~ elem(m_Down(X21),queue(host(X22)))
          | host(X21) != host(X22) )
      & queue(host(X0)) = cons(m_Ack(X2,X1),X3)
      & ! [X23,X24] :
          ( nbr_proc != host(X23)
          | ~ elem(m_NotNorm(X24),queue(host(X23))) )
      & ! [X25,X26] :
          ( ~ leq(host(X26),host(X25))
          | ~ elem(m_Ldr(X25),queue(host(X26))) )
      & ! [X27,X28,X29,X30] :
          ( ~ elem(m_Down(X28),queue(host(X27)))
          | ~ setIn(X29,alive)
          | nbr_proc != host(X27)
          | ? [X31] :
              ( leq(s(zero),X31)
              & ~ leq(host(X27),X31)
              & host(X28) != X31
              & ~ setIn(X31,index(down,host(X27))) )
          | ~ elem(m_Down(X30),queue(host(X29)))
          | elec_1 != index(status,host(X27))
          | host(X27) != host(X30) )
      & ? [X32] :
          ( ? [X33,X34,X35] :
              ( host(X0) = host(X34)
              & nbr_proc = host(X34)
              & elem(m_Down(X35),queue(host(X32)))
              & elec_1 = index(status,host(X34))
              & setIn(X32,alive)
              & host(X34) = host(X35)
              & elem(m_Down(X33),X3)
              & ! [X36] :
                  ( setIn(X36,index(down,host(X34)))
                  | leq(host(X34),X36)
                  | host(X33) = X36
                  | ~ leq(s(zero),X36) ) )
          & host(X0) != host(X32) ) ),
    inference(rectify,[],[f129]) ).

fof(f129,plain,
    ? [X2,X3,X0,X1] :
      ( ! [X13,X12,X10,X11] :
          ( ~ setIn(host(X10),index(down,host(X11)))
          | ~ setIn(X11,alive)
          | ~ setIn(X13,alive)
          | host(X12) != host(X11)
          | host(X13) != host(X10)
          | host(X13) = host(X11)
          | ~ elem(m_Down(X12),queue(host(X13))) )
      & ! [X23] :
          ( ( elec_1 != index(status,host(X23))
            & elec_2 != index(status,host(X23)) )
          | ~ setIn(X23,alive)
          | index(elid,host(X23)) = X23 )
      & ! [X15,X16,X14] :
          ( wait != index(status,host(X15))
          | host(X15) = host(X16)
          | ~ setIn(X15,alive)
          | ~ elem(m_Down(X14),queue(host(X16)))
          | host(X16) != host(index(elid,host(X15)))
          | host(X14) != host(X15) )
      & ! [X31,X29,X30] :
          ( index(ldr,host(X29)) != host(X30)
          | host(X29) != host(X31)
          | norm != index(status,host(X29))
          | host(X29) = host(X30)
          | ~ setIn(X29,alive)
          | ~ elem(m_Down(X31),queue(host(X30))) )
      & ! [X6,X7] :
          ( ~ setIn(X6,alive)
          | X6 = X7
          | ~ setIn(X7,alive)
          | host(X6) != host(X7) )
      & ! [X19,X17,X18,X20] :
          ( host(X19) != host(X20)
          | ~ elem(m_Down(X19),queue(host(X17)))
          | host(X17) = host(X20)
          | host(X18) != host(X17)
          | ~ setIn(X17,alive)
          | ~ elem(m_Down(X18),queue(host(X20)))
          | ~ setIn(X20,alive) )
      & ( host(X3) != index(pendack,host(X2))
        | index(elid,host(X2)) != X0
        | elec_2 != index(status,host(X2)) )
      & setIn(X2,alive)
      & ! [X8,X9] :
          ( ~ elem(m_Down(X8),queue(host(X9)))
          | host(X9) != host(X8) )
      & cons(m_Ack(X0,X3),X1) = queue(host(X2))
      & ! [X21,X22] :
          ( nbr_proc != host(X21)
          | ~ elem(m_NotNorm(X22),queue(host(X21))) )
      & ! [X5,X4] :
          ( ~ leq(host(X4),host(X5))
          | ~ elem(m_Ldr(X5),queue(host(X4))) )
      & ! [X24,X26,X27,X25] :
          ( ~ elem(m_Down(X26),queue(host(X24)))
          | ~ setIn(X27,alive)
          | nbr_proc != host(X24)
          | ? [X28] :
              ( leq(s(zero),X28)
              & ~ leq(host(X24),X28)
              & host(X26) != X28
              & ~ setIn(X28,index(down,host(X24))) )
          | ~ elem(m_Down(X25),queue(host(X27)))
          | elec_1 != index(status,host(X24))
          | host(X25) != host(X24) )
      & ? [X32] :
          ( ? [X34,X33,X35] :
              ( host(X2) = host(X33)
              & nbr_proc = host(X33)
              & elem(m_Down(X35),queue(host(X32)))
              & elec_1 = index(status,host(X33))
              & setIn(X32,alive)
              & host(X33) = host(X35)
              & elem(m_Down(X34),X1)
              & ! [X36] :
                  ( setIn(X36,index(down,host(X33)))
                  | leq(host(X33),X36)
                  | host(X34) = X36
                  | ~ leq(s(zero),X36) ) )
          & host(X2) != host(X32) ) ),
    inference(flattening,[],[f128]) ).

fof(f128,plain,
    ? [X2,X3,X1,X0] :
      ( ? [X32] :
          ( ? [X33,X35,X34] :
              ( setIn(X32,alive)
              & elem(m_Down(X35),queue(host(X32)))
              & nbr_proc = host(X33)
              & elem(m_Down(X34),X1)
              & host(X33) = host(X35)
              & elec_1 = index(status,host(X33))
              & ! [X36] :
                  ( setIn(X36,index(down,host(X33)))
                  | host(X34) = X36
                  | leq(host(X33),X36)
                  | ~ leq(s(zero),X36) )
              & host(X2) = host(X33) )
          & host(X2) != host(X32) )
      & ( host(X3) != index(pendack,host(X2))
        | index(elid,host(X2)) != X0
        | elec_2 != index(status,host(X2)) )
      & setIn(X2,alive)
      & ! [X5,X4] :
          ( ~ leq(host(X4),host(X5))
          | ~ elem(m_Ldr(X5),queue(host(X4))) )
      & ! [X25,X24,X26,X27] :
          ( ~ elem(m_Down(X25),queue(host(X27)))
          | ~ setIn(X27,alive)
          | ~ elem(m_Down(X26),queue(host(X24)))
          | host(X25) != host(X24)
          | ? [X28] :
              ( host(X26) != X28
              & ~ setIn(X28,index(down,host(X24)))
              & ~ leq(host(X24),X28)
              & leq(s(zero),X28) )
          | nbr_proc != host(X24)
          | elec_1 != index(status,host(X24)) )
      & ! [X8,X9] :
          ( ~ elem(m_Down(X8),queue(host(X9)))
          | host(X9) != host(X8) )
      & ! [X23] :
          ( index(elid,host(X23)) = X23
          | ~ setIn(X23,alive)
          | ( elec_1 != index(status,host(X23))
            & elec_2 != index(status,host(X23)) ) )
      & ! [X10,X12,X11,X13] :
          ( ~ elem(m_Down(X12),queue(host(X13)))
          | ~ setIn(host(X10),index(down,host(X11)))
          | host(X12) != host(X11)
          | host(X13) != host(X10)
          | ~ setIn(X13,alive)
          | ~ setIn(X11,alive)
          | host(X13) = host(X11) )
      & ! [X31,X29,X30] :
          ( ~ elem(m_Down(X31),queue(host(X30)))
          | host(X29) = host(X30)
          | host(X29) != host(X31)
          | norm != index(status,host(X29))
          | index(ldr,host(X29)) != host(X30)
          | ~ setIn(X29,alive) )
      & cons(m_Ack(X0,X3),X1) = queue(host(X2))
      & ! [X6,X7] :
          ( ~ setIn(X6,alive)
          | ~ setIn(X7,alive)
          | host(X6) != host(X7)
          | X6 = X7 )
      & ! [X14,X16,X15] :
          ( ~ elem(m_Down(X14),queue(host(X16)))
          | host(X15) = host(X16)
          | wait != index(status,host(X15))
          | ~ setIn(X15,alive)
          | host(X14) != host(X15)
          | host(X16) != host(index(elid,host(X15))) )
      & ! [X19,X18,X20,X17] :
          ( ~ elem(m_Down(X19),queue(host(X17)))
          | ~ elem(m_Down(X18),queue(host(X20)))
          | host(X19) != host(X20)
          | host(X18) != host(X17)
          | ~ setIn(X20,alive)
          | host(X17) = host(X20)
          | ~ setIn(X17,alive) )
      & ! [X21,X22] :
          ( nbr_proc != host(X21)
          | ~ elem(m_NotNorm(X22),queue(host(X21))) ) ),
    inference(ennf_transformation,[],[f89]) ).

fof(f89,plain,
    ~ ! [X2,X3,X1,X0] :
        ( ( ! [X4,X5] :
              ( elem(m_Ldr(X5),queue(host(X4)))
             => ~ leq(host(X4),host(X5)) )
          & ! [X25,X24,X26,X27] :
              ( ( elem(m_Down(X26),queue(host(X24)))
                & host(X25) = host(X24)
                & ! [X28] :
                    ( ( ~ leq(host(X24),X28)
                      & leq(s(zero),X28) )
                   => ( host(X26) = X28
                      | setIn(X28,index(down,host(X24))) ) )
                & nbr_proc = host(X24)
                & elec_1 = index(status,host(X24)) )
             => ~ ( elem(m_Down(X25),queue(host(X27)))
                  & setIn(X27,alive) ) )
          & ! [X9,X8] :
              ( elem(m_Down(X8),queue(host(X9)))
             => host(X9) != host(X8) )
          & ! [X23] :
              ( ( setIn(X23,alive)
                & ( elec_1 = index(status,host(X23))
                  | elec_2 = index(status,host(X23)) ) )
             => index(elid,host(X23)) = X23 )
          & ! [X10,X12,X11,X13] :
              ( ( host(X12) = host(X11)
                & host(X13) = host(X10)
                & setIn(X13,alive)
                & setIn(X11,alive)
                & host(X13) != host(X11) )
             => ~ ( elem(m_Down(X12),queue(host(X13)))
                  & setIn(host(X10),index(down,host(X11))) ) )
          & ! [X31,X29,X30] :
              ( ( host(X29) != host(X30)
                & host(X29) = host(X31)
                & norm = index(status,host(X29))
                & index(ldr,host(X29)) = host(X30)
                & setIn(X29,alive) )
             => ~ elem(m_Down(X31),queue(host(X30))) )
          & cons(m_Ack(X0,X3),X1) = queue(host(X2))
          & ! [X6,X7] :
              ( ( host(X6) = host(X7)
                & X6 != X7 )
             => ( ~ setIn(X6,alive)
                | ~ setIn(X7,alive) ) )
          & ! [X14,X16,X15] :
              ( ( host(X15) != host(X16)
                & wait = index(status,host(X15))
                & setIn(X15,alive)
                & host(X14) = host(X15)
                & host(X16) = host(index(elid,host(X15))) )
             => ~ elem(m_Down(X14),queue(host(X16))) )
          & ! [X19,X18,X20,X17] :
              ( ( host(X19) = host(X20)
                & host(X18) = host(X17)
                & setIn(X20,alive)
                & host(X17) != host(X20)
                & setIn(X17,alive) )
             => ~ ( elem(m_Down(X19),queue(host(X17)))
                  & elem(m_Down(X18),queue(host(X20))) ) )
          & ! [X22,X21] :
              ( nbr_proc = host(X21)
             => ~ elem(m_NotNorm(X22),queue(host(X21))) ) )
       => ( setIn(X2,alive)
         => ( ~ ( host(X3) = index(pendack,host(X2))
                & elec_2 = index(status,host(X2))
                & index(elid,host(X2)) = X0 )
           => ! [X32] :
                ( host(X2) != host(X32)
               => ! [X33,X35,X34] :
                    ( host(X2) = host(X33)
                   => ( ( nbr_proc = host(X33)
                        & elem(m_Down(X34),X1)
                        & host(X33) = host(X35)
                        & elec_1 = index(status,host(X33))
                        & ! [X36] :
                            ( ( ~ leq(host(X33),X36)
                              & leq(s(zero),X36) )
                           => ( setIn(X36,index(down,host(X33)))
                              | host(X34) = X36 ) ) )
                     => ~ ( setIn(X32,alive)
                          & elem(m_Down(X35),queue(host(X32))) ) ) ) ) ) ) ),
    inference(rectify,[],[f68]) ).

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

fof(f67,conjecture,
    ! [X12,X11,X4,X5] :
      ( ( ! [X6,X13] :
            ( elem(m_Ldr(X13),queue(host(X6)))
           => ~ leq(host(X6),host(X13)) )
        & ! [X13,X6] :
            ( ( host(X6) = host(X13)
              & X6 != X13 )
           => ( ~ setIn(X6,alive)
              | ~ setIn(X13,alive) ) )
        & ! [X13,X6] :
            ( elem(m_Down(X13),queue(host(X6)))
           => host(X6) != host(X13) )
        & ! [X15,X14,X13,X6] :
            ( ( setIn(X6,alive)
              & host(X6) = host(X15)
              & setIn(X14,alive)
              & host(X13) = host(X14)
              & host(X6) != host(X14) )
           => ~ ( elem(m_Down(X13),queue(host(X6)))
                & setIn(host(X15),index(down,host(X14))) ) )
        & ! [X6,X13,X14] :
            ( ( host(X13) != host(X14)
              & host(X14) = host(index(elid,host(X13)))
              & host(X6) = host(X13)
              & wait = index(status,host(X13))
              & setIn(X13,alive) )
           => ~ elem(m_Down(X6),queue(host(X14))) )
        & ! [X14,X13,X15,X6] :
            ( ( host(X6) = host(X15)
              & setIn(X14,alive)
              & host(X13) = host(X14)
              & setIn(X6,alive)
              & host(X6) != host(X14) )
           => ~ ( elem(m_Down(X13),queue(host(X6)))
                & elem(m_Down(X15),queue(host(X14))) ) )
        & ! [X13,X6] :
            ( nbr_proc = host(X13)
           => ~ elem(m_NotNorm(X6),queue(host(X13))) )
        & queue(host(X4)) = cons(m_Ack(X12,X5),X11)
        & ! [X6] :
            ( ( setIn(X6,alive)
              & ( elec_2 = index(status,host(X6))
                | elec_1 = index(status,host(X6)) ) )
           => index(elid,host(X6)) = X6 )
        & ! [X13,X15,X14,X6] :
            ( ( host(X13) = host(X15)
              & elem(m_Down(X14),queue(host(X13)))
              & nbr_proc = host(X13)
              & ! [X16] :
                  ( ( ~ leq(host(X13),X16)
                    & leq(s(zero),X16) )
                 => ( host(X14) = X16
                    | setIn(X16,index(down,host(X13))) ) )
              & elec_1 = index(status,host(X13)) )
           => ~ ( setIn(X6,alive)
                & elem(m_Down(X15),queue(host(X6))) ) )
        & ! [X13,X14,X6] :
            ( ( norm = index(status,host(X13))
              & setIn(X13,alive)
              & host(X6) = host(X13)
              & host(X13) != host(X14)
              & host(X14) = index(ldr,host(X13)) )
           => ~ elem(m_Down(X6),queue(host(X14))) ) )
     => ( setIn(X4,alive)
       => ( ~ ( host(X5) = index(pendack,host(X4))
              & index(elid,host(X4)) = X12
              & elec_2 = index(status,host(X4)) )
         => ! [X6] :
              ( host(X4) != host(X6)
             => ! [X19,X18,X17] :
                  ( host(X4) = host(X19)
                 => ( ( nbr_proc = host(X19)
                      & host(X19) = host(X17)
                      & ! [X16] :
                          ( ( ~ leq(host(X19),X16)
                            & leq(s(zero),X16) )
                         => ( host(X18) = X16
                            | setIn(X16,index(down,host(X19))) ) )
                      & elem(m_Down(X18),X11)
                      & elec_1 = index(status,host(X19)) )
                   => ~ ( elem(m_Down(X17),queue(host(X6)))
                        & setIn(X6,alive) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

fof(f246,plain,
    host(sK9) = host(sK10),
    inference(cnf_transformation,[],[f169]) ).

fof(f534,plain,
    ! [X0] :
      ( ~ elem(m_Down(X0),queue(nbr_proc))
      | nbr_proc != host(sK10)
      | host(X0) != sK6(sK10,X0) ),
    inference(resolution,[],[f522,f249]) ).

fof(f249,plain,
    elem(m_Down(sK10),queue(host(sK7))),
    inference(cnf_transformation,[],[f169]) ).

fof(f522,plain,
    ! [X2,X3] :
      ( ~ elem(m_Down(X3),queue(host(sK7)))
      | ~ elem(m_Down(X2),queue(nbr_proc))
      | host(X2) != sK6(sK10,X2)
      | host(X3) != nbr_proc ),
    inference(subsumption_resolution,[],[f517,f342]) ).

fof(f342,plain,
    elec_1 = index(status,nbr_proc),
    inference(forward_demodulation,[],[f248,f250]) ).

fof(f248,plain,
    elec_1 = index(status,host(sK9)),
    inference(cnf_transformation,[],[f169]) ).

fof(f517,plain,
    ! [X2,X3] :
      ( ~ elem(m_Down(X2),queue(nbr_proc))
      | elec_1 != index(status,nbr_proc)
      | ~ elem(m_Down(X3),queue(host(sK7)))
      | host(X2) != sK6(sK10,X2)
      | host(X3) != nbr_proc ),
    inference(trivial_inequality_removal,[],[f515]) ).

fof(f515,plain,
    ! [X2,X3] :
      ( ~ elem(m_Down(X2),queue(nbr_proc))
      | elec_1 != index(status,nbr_proc)
      | host(X2) != sK6(sK10,X2)
      | nbr_proc != nbr_proc
      | host(X3) != nbr_proc
      | ~ elem(m_Down(X3),queue(host(sK7))) ),
    inference(superposition,[],[f417,f339]) ).

fof(f417,plain,
    ! [X2,X0,X1] :
      ( ~ elem(m_Down(X2),queue(host(X0)))
      | ~ elem(m_Down(X1),queue(host(sK7)))
      | host(X0) != nbr_proc
      | elec_1 != index(status,host(X0))
      | host(X2) != sK6(X0,X2)
      | host(X0) != host(X1) ),
    inference(resolution,[],[f253,f247]) ).

fof(f247,plain,
    setIn(sK7,alive),
    inference(cnf_transformation,[],[f169]) ).

fof(f253,plain,
    ! [X28,X29,X27,X30] :
      ( ~ setIn(X29,alive)
      | host(X27) != host(X30)
      | ~ elem(m_Down(X28),queue(host(X27)))
      | nbr_proc != host(X27)
      | elec_1 != index(status,host(X27))
      | ~ elem(m_Down(X30),queue(host(X29)))
      | sK6(X27,X28) != host(X28) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f744,plain,
    elem(m_Down(sK8),queue(nbr_proc)),
    inference(resolution,[],[f743,f632]) ).

fof(f632,plain,
    elem(m_Down(sK8),tail(queue(nbr_proc))),
    inference(backward_demodulation,[],[f245,f630]) ).

fof(f630,plain,
    sK5 = tail(queue(nbr_proc)),
    inference(superposition,[],[f213,f343]) ).

fof(f343,plain,
    cons(m_Ack(sK4,sK3),sK5) = queue(nbr_proc),
    inference(forward_demodulation,[],[f258,f340]) ).

fof(f340,plain,
    nbr_proc = host(sK2),
    inference(forward_demodulation,[],[f251,f250]) ).

fof(f251,plain,
    host(sK9) = host(sK2),
    inference(cnf_transformation,[],[f169]) ).

fof(f258,plain,
    cons(m_Ack(sK4,sK3),sK5) = queue(host(sK2)),
    inference(cnf_transformation,[],[f169]) ).

fof(f213,plain,
    ! [X0,X1] : tail(cons(X1,X0)) = X0,
    inference(cnf_transformation,[],[f151]) ).

fof(f151,plain,
    ! [X0,X1] : tail(cons(X1,X0)) = X0,
    inference(rectify,[],[f80]) ).

fof(f80,plain,
    ! [X1,X0] : tail(cons(X0,X1)) = X1,
    inference(rectify,[],[f37]) ).

fof(f37,axiom,
    ! [X4,X3] : tail(cons(X4,X3)) = X3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).

fof(f245,plain,
    elem(m_Down(sK8),sK5),
    inference(cnf_transformation,[],[f169]) ).

fof(f743,plain,
    ! [X0] :
      ( ~ elem(X0,tail(queue(nbr_proc)))
      | elem(X0,queue(nbr_proc)) ),
    inference(superposition,[],[f312,f637]) ).

fof(f637,plain,
    cons(head(queue(nbr_proc)),tail(queue(nbr_proc))) = queue(nbr_proc),
    inference(backward_demodulation,[],[f631,f636]) ).

fof(f636,plain,
    m_Ack(sK4,sK3) = head(queue(nbr_proc)),
    inference(superposition,[],[f240,f631]) ).

fof(f240,plain,
    ! [X0,X1] : head(cons(X0,X1)) = X0,
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1] : head(cons(X0,X1)) = X0,
    inference(rectify,[],[f36]) ).

fof(f36,axiom,
    ! [X4,X3] : head(cons(X4,X3)) = X4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).

fof(f631,plain,
    cons(m_Ack(sK4,sK3),tail(queue(nbr_proc))) = queue(nbr_proc),
    inference(backward_demodulation,[],[f343,f630]) ).

fof(f312,plain,
    ! [X2,X0,X1] :
      ( elem(X0,cons(X1,X2))
      | ~ elem(X0,X2) ),
    inference(cnf_transformation,[],[f193]) ).

fof(f193,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(rectify,[],[f192]) ).

fof(f192,plain,
    ! [X2,X1,X0] :
      ( ( elem(X2,cons(X1,X0))
        | ( ~ elem(X2,X0)
          & X1 != X2 ) )
      & ( elem(X2,X0)
        | X1 = X2
        | ~ elem(X2,cons(X1,X0)) ) ),
    inference(flattening,[],[f191]) ).

fof(f191,plain,
    ! [X2,X1,X0] :
      ( ( elem(X2,cons(X1,X0))
        | ( ~ elem(X2,X0)
          & X1 != X2 ) )
      & ( elem(X2,X0)
        | X1 = X2
        | ~ elem(X2,cons(X1,X0)) ) ),
    inference(nnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X2,X1,X0] :
      ( elem(X2,cons(X1,X0))
    <=> ( elem(X2,X0)
        | X1 = X2 ) ),
    inference(rectify,[],[f47]) ).

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

fof(f749,plain,
    sK6(sK10,sK8) = host(sK8),
    inference(resolution,[],[f744,f573]) ).

fof(f573,plain,
    ! [X0] :
      ( ~ elem(m_Down(X0),queue(nbr_proc))
      | sK6(sK10,X0) = host(sK8) ),
    inference(subsumption_resolution,[],[f572,f339]) ).

fof(f572,plain,
    ! [X0] :
      ( ~ elem(m_Down(X0),queue(nbr_proc))
      | nbr_proc != host(sK10)
      | sK6(sK10,X0) = host(sK8) ),
    inference(resolution,[],[f571,f249]) ).

fof(f571,plain,
    ! [X0,X1] :
      ( ~ elem(m_Down(X0),queue(host(sK7)))
      | ~ elem(m_Down(X1),queue(nbr_proc))
      | host(X0) != nbr_proc
      | sK6(sK10,X1) = host(sK8) ),
    inference(subsumption_resolution,[],[f570,f339]) ).

fof(f570,plain,
    ! [X0,X1] :
      ( host(X0) != nbr_proc
      | ~ elem(m_Down(X1),queue(nbr_proc))
      | sK6(sK10,X1) = host(sK8)
      | nbr_proc != host(sK10)
      | ~ elem(m_Down(X0),queue(host(sK7))) ),
    inference(resolution,[],[f555,f249]) ).

fof(f555,plain,
    ! [X2,X0,X1] :
      ( ~ elem(m_Down(X1),queue(host(sK7)))
      | nbr_proc != host(X1)
      | ~ elem(m_Down(X2),queue(host(sK7)))
      | host(X2) != nbr_proc
      | ~ elem(m_Down(X0),queue(nbr_proc))
      | sK6(sK10,X0) = host(sK8) ),
    inference(subsumption_resolution,[],[f554,f342]) ).

fof(f554,plain,
    ! [X2,X0,X1] :
      ( sK6(sK10,X0) = host(sK8)
      | ~ elem(m_Down(X0),queue(nbr_proc))
      | nbr_proc != host(X1)
      | host(X2) != nbr_proc
      | ~ elem(m_Down(X2),queue(host(sK7)))
      | elec_1 != index(status,nbr_proc)
      | ~ elem(m_Down(X1),queue(host(sK7))) ),
    inference(forward_demodulation,[],[f553,f339]) ).

fof(f553,plain,
    ! [X2,X0,X1] :
      ( ~ elem(m_Down(X1),queue(host(sK7)))
      | elec_1 != index(status,host(sK10))
      | sK6(sK10,X0) = host(sK8)
      | ~ elem(m_Down(X0),queue(nbr_proc))
      | ~ elem(m_Down(X2),queue(host(sK7)))
      | nbr_proc != host(X1)
      | host(X2) != nbr_proc ),
    inference(duplicate_literal_removal,[],[f552]) ).

fof(f552,plain,
    ! [X2,X0,X1] :
      ( ~ elem(m_Down(X1),queue(host(sK7)))
      | elec_1 != index(status,host(sK10))
      | nbr_proc != host(X1)
      | ~ elem(m_Down(X2),queue(host(sK7)))
      | sK6(sK10,X0) = host(sK8)
      | host(X2) != nbr_proc
      | ~ elem(m_Down(X0),queue(nbr_proc))
      | ~ elem(m_Down(X0),queue(nbr_proc)) ),
    inference(forward_demodulation,[],[f551,f339]) ).

fof(f551,plain,
    ! [X2,X0,X1] :
      ( ~ elem(m_Down(X0),queue(host(sK10)))
      | sK6(sK10,X0) = host(sK8)
      | elec_1 != index(status,host(sK10))
      | nbr_proc != host(X1)
      | ~ elem(m_Down(X2),queue(host(sK7)))
      | host(X2) != nbr_proc
      | ~ elem(m_Down(X0),queue(nbr_proc))
      | ~ elem(m_Down(X1),queue(host(sK7))) ),
    inference(forward_demodulation,[],[f550,f339]) ).

fof(f550,plain,
    ! [X2,X0,X1] :
      ( ~ elem(m_Down(X2),queue(host(sK7)))
      | nbr_proc != host(X1)
      | host(X2) != host(sK10)
      | ~ elem(m_Down(X1),queue(host(sK7)))
      | sK6(sK10,X0) = host(sK8)
      | ~ elem(m_Down(X0),queue(nbr_proc))
      | ~ elem(m_Down(X0),queue(host(sK10)))
      | elec_1 != index(status,host(sK10)) ),
    inference(subsumption_resolution,[],[f544,f339]) ).

fof(f544,plain,
    ! [X2,X0,X1] :
      ( ~ elem(m_Down(X2),queue(host(sK7)))
      | nbr_proc != host(X1)
      | ~ elem(m_Down(X0),queue(host(sK10)))
      | elec_1 != index(status,host(sK10))
      | ~ elem(m_Down(X1),queue(host(sK7)))
      | nbr_proc != host(sK10)
      | sK6(sK10,X0) = host(sK8)
      | host(X2) != host(sK10)
      | ~ elem(m_Down(X0),queue(nbr_proc)) ),
    inference(resolution,[],[f539,f423]) ).

fof(f423,plain,
    ! [X2,X0,X1] :
      ( leq(s(zero),sK6(X0,X2))
      | host(X0) != nbr_proc
      | host(X0) != host(X1)
      | ~ elem(m_Down(X2),queue(host(X0)))
      | ~ elem(m_Down(X1),queue(host(sK7)))
      | elec_1 != index(status,host(X0)) ),
    inference(resolution,[],[f255,f247]) ).

fof(f255,plain,
    ! [X28,X29,X27,X30] :
      ( ~ setIn(X29,alive)
      | nbr_proc != host(X27)
      | host(X27) != host(X30)
      | ~ elem(m_Down(X28),queue(host(X27)))
      | elec_1 != index(status,host(X27))
      | leq(s(zero),sK6(X27,X28))
      | ~ elem(m_Down(X30),queue(host(X29))) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f539,plain,
    ! [X0,X1] :
      ( ~ leq(s(zero),sK6(sK10,X0))
      | sK6(sK10,X0) = host(sK8)
      | ~ elem(m_Down(X1),queue(host(sK7)))
      | ~ elem(m_Down(X0),queue(nbr_proc))
      | nbr_proc != host(X1) ),
    inference(subsumption_resolution,[],[f536,f530]) ).

fof(f530,plain,
    ! [X2,X3] :
      ( ~ leq(nbr_proc,sK6(sK10,X2))
      | host(X3) != nbr_proc
      | ~ elem(m_Down(X2),queue(nbr_proc))
      | ~ elem(m_Down(X3),queue(host(sK7))) ),
    inference(subsumption_resolution,[],[f527,f342]) ).

fof(f527,plain,
    ! [X2,X3] :
      ( elec_1 != index(status,nbr_proc)
      | host(X3) != nbr_proc
      | ~ elem(m_Down(X2),queue(nbr_proc))
      | ~ elem(m_Down(X3),queue(host(sK7)))
      | ~ leq(nbr_proc,sK6(sK10,X2)) ),
    inference(trivial_inequality_removal,[],[f524]) ).

fof(f524,plain,
    ! [X2,X3] :
      ( ~ elem(m_Down(X3),queue(host(sK7)))
      | ~ leq(nbr_proc,sK6(sK10,X2))
      | elec_1 != index(status,nbr_proc)
      | host(X3) != nbr_proc
      | nbr_proc != nbr_proc
      | ~ elem(m_Down(X2),queue(nbr_proc)) ),
    inference(superposition,[],[f420,f339]) ).

fof(f420,plain,
    ! [X2,X0,X1] :
      ( ~ leq(host(X0),sK6(X0,X1))
      | elec_1 != index(status,host(X0))
      | host(X0) != nbr_proc
      | ~ elem(m_Down(X1),queue(host(X0)))
      | host(X0) != host(X2)
      | ~ elem(m_Down(X2),queue(host(sK7))) ),
    inference(resolution,[],[f254,f247]) ).

fof(f254,plain,
    ! [X28,X29,X27,X30] :
      ( ~ setIn(X29,alive)
      | elec_1 != index(status,host(X27))
      | nbr_proc != host(X27)
      | ~ leq(host(X27),sK6(X27,X28))
      | host(X27) != host(X30)
      | ~ elem(m_Down(X28),queue(host(X27)))
      | ~ elem(m_Down(X30),queue(host(X29))) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f536,plain,
    ! [X0,X1] :
      ( leq(nbr_proc,sK6(sK10,X0))
      | sK6(sK10,X0) = host(sK8)
      | ~ leq(s(zero),sK6(sK10,X0))
      | ~ elem(m_Down(X1),queue(host(sK7)))
      | ~ elem(m_Down(X0),queue(nbr_proc))
      | nbr_proc != host(X1) ),
    inference(resolution,[],[f470,f247]) ).

fof(f470,plain,
    ! [X2,X0,X1] :
      ( ~ setIn(X1,alive)
      | leq(nbr_proc,sK6(sK10,X0))
      | ~ elem(m_Down(X2),queue(host(X1)))
      | sK6(sK10,X0) = host(sK8)
      | ~ leq(s(zero),sK6(sK10,X0))
      | ~ elem(m_Down(X0),queue(nbr_proc))
      | host(X2) != nbr_proc ),
    inference(resolution,[],[f432,f382]) ).

fof(f382,plain,
    ! [X36] :
      ( setIn(X36,index(down,nbr_proc))
      | ~ leq(s(zero),X36)
      | leq(nbr_proc,X36)
      | host(sK8) = X36 ),
    inference(forward_demodulation,[],[f381,f250]) ).

fof(f381,plain,
    ! [X36] :
      ( host(sK8) = X36
      | ~ leq(s(zero),X36)
      | setIn(X36,index(down,host(sK9)))
      | leq(nbr_proc,X36) ),
    inference(forward_demodulation,[],[f244,f250]) ).

fof(f244,plain,
    ! [X36] :
      ( leq(host(sK9),X36)
      | setIn(X36,index(down,host(sK9)))
      | ~ leq(s(zero),X36)
      | host(sK8) = X36 ),
    inference(cnf_transformation,[],[f169]) ).

fof(f432,plain,
    ! [X3,X4,X5] :
      ( ~ setIn(sK6(sK10,X3),index(down,nbr_proc))
      | ~ elem(m_Down(X3),queue(nbr_proc))
      | ~ setIn(X5,alive)
      | ~ elem(m_Down(X4),queue(host(X5)))
      | nbr_proc != host(X4) ),
    inference(subsumption_resolution,[],[f431,f342]) ).

fof(f431,plain,
    ! [X3,X4,X5] :
      ( nbr_proc != host(X4)
      | ~ elem(m_Down(X3),queue(nbr_proc))
      | ~ setIn(X5,alive)
      | elec_1 != index(status,nbr_proc)
      | ~ elem(m_Down(X4),queue(host(X5)))
      | ~ setIn(sK6(sK10,X3),index(down,nbr_proc)) ),
    inference(trivial_inequality_removal,[],[f427]) ).

fof(f427,plain,
    ! [X3,X4,X5] :
      ( nbr_proc != host(X4)
      | ~ setIn(X5,alive)
      | nbr_proc != nbr_proc
      | ~ elem(m_Down(X4),queue(host(X5)))
      | ~ elem(m_Down(X3),queue(nbr_proc))
      | elec_1 != index(status,nbr_proc)
      | ~ setIn(sK6(sK10,X3),index(down,nbr_proc)) ),
    inference(superposition,[],[f252,f339]) ).

fof(f252,plain,
    ! [X28,X29,X27,X30] :
      ( ~ setIn(sK6(X27,X28),index(down,host(X27)))
      | ~ elem(m_Down(X30),queue(host(X29)))
      | host(X27) != host(X30)
      | elec_1 != index(status,host(X27))
      | nbr_proc != host(X27)
      | ~ elem(m_Down(X28),queue(host(X27)))
      | ~ setIn(X29,alive) ),
    inference(cnf_transformation,[],[f169]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWV473+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 19:30:48 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (20251)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50  % (20264)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.50  % (20256)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.50  % (20266)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.51  % (20250)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51  % (20249)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51  % (20248)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (20247)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  % (20247)Instruction limit reached!
% 0.19/0.51  % (20247)------------------------------
% 0.19/0.51  % (20247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (20247)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (20247)Termination reason: Unknown
% 0.19/0.51  % (20247)Termination phase: Preprocessing 1
% 0.19/0.51  
% 0.19/0.51  % (20247)Memory used [KB]: 1023
% 0.19/0.51  % (20247)Time elapsed: 0.004 s
% 0.19/0.51  % (20247)Instructions burned: 2 (million)
% 0.19/0.51  % (20247)------------------------------
% 0.19/0.51  % (20247)------------------------------
% 0.19/0.52  % (20258)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  % (20261)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.52  % (20242)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (20254)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.52  % (20240)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (20252)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (20241)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53  % (20239)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53  % (20243)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (20268)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53  % (20257)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53  % (20262)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.53  % (20246)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53  % (20260)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54  % (20246)Instruction limit reached!
% 0.19/0.54  % (20246)------------------------------
% 0.19/0.54  % (20246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (20246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (20246)Termination reason: Unknown
% 0.19/0.54  % (20246)Termination phase: Saturation
% 0.19/0.54  
% 0.19/0.54  % (20246)Memory used [KB]: 5628
% 0.19/0.54  % (20246)Time elapsed: 0.005 s
% 0.19/0.54  % (20246)Instructions burned: 7 (million)
% 0.19/0.54  % (20246)------------------------------
% 0.19/0.54  % (20246)------------------------------
% 0.19/0.54  TRYING [4]
% 0.19/0.54  % (20265)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54  % (20244)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.54  % (20253)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54  % (20267)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.55  % (20245)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55  % (20259)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.55  % (20263)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.56  % (20255)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.56  TRYING [4]
% 0.19/0.58  TRYING [4]
% 0.19/0.58  % (20241)Instruction limit reached!
% 0.19/0.58  % (20241)------------------------------
% 0.19/0.58  % (20241)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (20241)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (20241)Termination reason: Unknown
% 0.19/0.58  % (20241)Termination phase: Saturation
% 0.19/0.58  
% 0.19/0.58  % (20241)Memory used [KB]: 1407
% 0.19/0.58  % (20241)Time elapsed: 0.164 s
% 0.19/0.58  % (20241)Instructions burned: 37 (million)
% 0.19/0.58  % (20241)------------------------------
% 0.19/0.58  % (20241)------------------------------
% 1.69/0.59  % (20256)Instruction limit reached!
% 1.69/0.59  % (20256)------------------------------
% 1.69/0.59  % (20256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.59  % (20256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.59  % (20256)Termination reason: Unknown
% 1.69/0.59  % (20256)Termination phase: Finite model building constraint generation
% 1.69/0.59  
% 1.69/0.59  % (20256)Memory used [KB]: 9978
% 1.69/0.59  % (20256)Time elapsed: 0.148 s
% 1.69/0.59  % (20256)Instructions burned: 59 (million)
% 1.69/0.59  % (20256)------------------------------
% 1.69/0.59  % (20256)------------------------------
% 1.69/0.60  % (20261)First to succeed.
% 1.97/0.60  % (20261)Refutation found. Thanks to Tanya!
% 1.97/0.60  % SZS status Theorem for theBenchmark
% 1.97/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.97/0.60  % (20261)------------------------------
% 1.97/0.60  % (20261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.60  % (20261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.60  % (20261)Termination reason: Refutation
% 1.97/0.60  
% 1.97/0.60  % (20261)Memory used [KB]: 1535
% 1.97/0.60  % (20261)Time elapsed: 0.169 s
% 1.97/0.60  % (20261)Instructions burned: 42 (million)
% 1.97/0.60  % (20261)------------------------------
% 1.97/0.60  % (20261)------------------------------
% 1.97/0.60  % (20238)Success in time 0.251 s
%------------------------------------------------------------------------------