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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV475+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:22:15 PM UTC 2026

% Result   : Theorem 6.00s 12.28s
% Output   : CNFRefutation 6.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :    9
% Syntax   : Number of formulae    :  120 (  46 unt;   0 def)
%            Number of atoms       : 1190 ( 533 equ)
%            Maximal formula atoms :  127 (   9 avg)
%            Number of connectives : 1689 ( 619   ~; 529   |; 453   &)
%                                         (   3 <=>;  85  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   6 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   33 (  33 usr;  22 con; 0-2 aty)
%            Number of variables   :  500 (   0 sgn 467   !;  33   ?;  63   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1] :
      ( s(host(X0)) = host(X1)
     => host(X0) != host(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_01) ).

fof(f3,axiom,
    ! [X0] : leq(s(zero),host(X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_02) ).

fof(f5,axiom,
    ! [X0] : leq(host(X0),nbr_proc),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_04) ).

fof(f19,axiom,
    ! [X0,X1] : m_Down(X0) != m_Ldr(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_18) ).

fof(f48,axiom,
    ! [X0,X1,X2] :
      ( elem(X0,snoc(X2,X1))
    <=> ( elem(X0,X2)
        | X0 = X1 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_47) ).

fof(f59,axiom,
    ! [X0] : ~ leq(s(X0),X0),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_58) ).

fof(f62,axiom,
    ! [X0,X1] :
      ( ( leq(X1,X0)
        & leq(X0,X1) )
    <=> X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_61) ).

fof(f65,axiom,
    ! [X0,X1] :
      ( leq(X0,s(X1))
    <=> ( leq(X0,X1)
        | X0 = s(X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_64) ).

fof(f67,conjecture,
    ! [X0,X1,X2,X3] :
      ( ( queue(host(X2)) = cons(m_Ack(X1,X3),X0)
        & ! [X4,X7,X6,X5] :
            ( ( index(status,host(X5)) = elec_1
              & host(X7) = s(host(X5))
              & elem(m_Down(X7),queue(host(X5)))
              & elem(m_Down(X6),queue(host(X5)))
              & leq(nbr_proc,s(host(X5)))
              & setIn(X5,alive)
              & ! [X8] :
                  ( ( leq(s(zero),X8)
                    & ~ leq(host(X5),X8) )
                 => ( X8 = host(X6)
                    | setIn(X8,index(down,host(X5))) ) ) )
           => ~ ( index(status,host(X4)) = norm
                & index(ldr,host(X4)) = host(X4)
                & setIn(X4,alive) ) )
        & ! [X4,X7,X6,X5] :
            ( ( index(status,host(X5)) = elec_1
              & index(status,host(X4)) = elec_2
              & host(X7) = host(X5)
              & elem(m_Down(X6),queue(host(X5)))
              & leq(host(X4),host(X5))
              & setIn(X4,alive)
              & ! [X8] :
                  ( ( leq(s(zero),X8)
                    & ~ leq(host(X5),X8) )
                 => ( X8 = host(X6)
                    | setIn(X8,index(down,host(X5))) ) ) )
           => ~ elem(m_Ack(X4,X7),queue(host(X4))) )
        & ! [X4,X6,X5] :
            ( ( host(index(elid,host(X5))) = host(X6)
              & index(status,host(X5)) = wait
              & host(X6) = host(X4)
              & elem(m_Down(X4),queue(host(X5)))
              & setIn(X5,alive)
              & host(X5) != host(X6) )
           => ~ ( index(ldr,host(X6)) = host(X6)
                & index(status,host(X6)) = norm
                & setIn(X6,alive) ) )
        & ! [X4,X6,X5] :
            ( ( index(ldr,host(X5)) = host(X6)
              & index(status,host(X5)) = norm
              & host(X6) = host(X4)
              & elem(m_Down(X4),queue(host(X5)))
              & setIn(X5,alive)
              & host(X5) != host(X6) )
           => ~ ( index(ldr,host(X6)) = host(X6)
                & index(status,host(X6)) = norm
                & setIn(X6,alive) ) )
        & ! [X4,X7,X6,X5] :
            ( ( host(X5) = host(X6)
              & host(X7) = host(X4)
              & setIn(X6,alive)
              & setIn(X4,alive)
              & host(X6) != host(X4) )
           => ~ ( setIn(host(X7),index(down,host(X6)))
                & elem(m_Down(X5),queue(host(X4))) ) )
        & ! [X4,X7,X6,X5] :
            ( ( host(X5) = host(X6)
              & host(X7) = host(X4)
              & setIn(X6,alive)
              & setIn(X4,alive)
              & host(X6) != host(X4) )
           => ~ ( elem(m_Down(X7),queue(host(X6)))
                & elem(m_Down(X5),queue(host(X4))) ) )
        & ! [X4,X6,X5] :
            ( ( host(X6) = host(X4)
              & elem(m_Down(X6),queue(host(X5)))
              & setIn(X5,alive)
              & ~ leq(host(X6),host(X5)) )
           => ~ ( index(status,host(X4)) = norm
                & index(ldr,host(X4)) = host(X4)
                & setIn(X4,alive) ) )
        & ! [X4,X5] :
            ( ( index(ldr,host(X5)) = host(X5)
              & index(status,host(X5)) = norm
              & index(status,host(X4)) = norm
              & index(ldr,host(X4)) = host(X4)
              & setIn(X5,alive)
              & setIn(X4,alive) )
           => X5 = X4 )
        & ! [X4,X6,X5] :
            ( ( index(ldr,host(X5)) = host(X5)
              & index(status,host(X5)) = norm
              & host(X6) = host(X5)
              & setIn(X5,alive) )
           => ~ ( elem(m_Down(X6),queue(host(X4)))
                & setIn(X4,alive) ) )
        & ! [X4,X6,X5] :
            ( ( index(status,host(X5)) = elec_2
              & host(X5) = host(X6)
              & elem(m_Down(X6),queue(host(X4)))
              & setIn(X5,alive)
              & setIn(X4,alive) )
           => leq(index(pendack,host(X5)),host(X4)) )
        & ! [X4,X5] :
            ( ( index(ldr,host(X5)) = host(X5)
              & index(status,host(X5)) = norm
              & setIn(X5,alive) )
           => ~ ( setIn(host(X5),index(down,host(X4)))
                & setIn(X4,alive) ) )
        & ! [X4,X5] :
            ( ( index(status,host(X5)) = elec_2
              & setIn(host(X5),index(down,host(X4)))
              & setIn(X5,alive)
              & setIn(X4,alive) )
           => leq(index(pendack,host(X5)),host(X4)) )
        & ! [X4] :
            ( ( setIn(X4,alive)
              & ( index(status,host(X4)) = elec_2
                | index(status,host(X4)) = elec_1 ) )
           => index(elid,host(X4)) = X4 )
        & ! [X4,X5] :
            ( ( host(X5) = host(X4)
              & X5 != X4 )
           => ( ~ setIn(X5,alive)
              | ~ setIn(X4,alive) ) )
        & ! [X4,X5] :
            ( elem(m_Down(X5),queue(host(X4)))
           => host(X5) != host(X4) )
        & ! [X4,X5] :
            ( elem(m_Ldr(X5),queue(host(X4)))
           => ~ leq(host(X4),host(X5)) ) )
     => ( setIn(X2,alive)
       => ( ( host(X3) = index(pendack,host(X2))
            & index(status,host(X2)) = elec_2
            & index(elid,host(X2)) = X1 )
         => ( leq(nbr_proc,index(pendack,host(X2)))
           => ! [X4] :
                ( ( host(X4) = host(X3)
                  | setIn(host(X4),index(acks,host(X2))) )
               => ! [X8] :
                    ( host(X2) = host(X8)
                   => ! [X9,X10,X11] :
                        ( host(X4) = host(X11)
                       => ( host(X2) != host(X11)
                         => ( ( index(status,host(X11)) = elec_1
                              & host(X9) = s(host(X11))
                              & elem(m_Down(X10),snoc(queue(host(X11)),m_Ldr(X2)))
                              & elem(m_Down(X9),snoc(queue(host(X11)),m_Ldr(X2)))
                              & leq(nbr_proc,s(host(X11)))
                              & setIn(X11,alive)
                              & ! [X12] :
                                  ( ( leq(s(zero),X12)
                                    & ~ leq(host(X11),X12) )
                                 => ( X12 = host(X10)
                                    | setIn(X12,index(down,host(X11))) ) ) )
                           => ~ ( host(X2) = host(X8)
                                & setIn(X8,alive) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

fof(f68,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ( queue(host(X2)) = cons(m_Ack(X1,X3),X0)
          & ! [X4,X7,X6,X5] :
              ( ( index(status,host(X5)) = elec_1
                & host(X7) = s(host(X5))
                & elem(m_Down(X7),queue(host(X5)))
                & elem(m_Down(X6),queue(host(X5)))
                & leq(nbr_proc,s(host(X5)))
                & setIn(X5,alive)
                & ! [X8] :
                    ( ( leq(s(zero),X8)
                      & ~ leq(host(X5),X8) )
                   => ( X8 = host(X6)
                      | setIn(X8,index(down,host(X5))) ) ) )
             => ~ ( index(status,host(X4)) = norm
                  & index(ldr,host(X4)) = host(X4)
                  & setIn(X4,alive) ) )
          & ! [X4,X7,X6,X5] :
              ( ( index(status,host(X5)) = elec_1
                & index(status,host(X4)) = elec_2
                & host(X7) = host(X5)
                & elem(m_Down(X6),queue(host(X5)))
                & leq(host(X4),host(X5))
                & setIn(X4,alive)
                & ! [X8] :
                    ( ( leq(s(zero),X8)
                      & ~ leq(host(X5),X8) )
                   => ( X8 = host(X6)
                      | setIn(X8,index(down,host(X5))) ) ) )
             => ~ elem(m_Ack(X4,X7),queue(host(X4))) )
          & ! [X4,X6,X5] :
              ( ( host(index(elid,host(X5))) = host(X6)
                & index(status,host(X5)) = wait
                & host(X6) = host(X4)
                & elem(m_Down(X4),queue(host(X5)))
                & setIn(X5,alive)
                & host(X5) != host(X6) )
             => ~ ( index(ldr,host(X6)) = host(X6)
                  & index(status,host(X6)) = norm
                  & setIn(X6,alive) ) )
          & ! [X4,X6,X5] :
              ( ( index(ldr,host(X5)) = host(X6)
                & index(status,host(X5)) = norm
                & host(X6) = host(X4)
                & elem(m_Down(X4),queue(host(X5)))
                & setIn(X5,alive)
                & host(X5) != host(X6) )
             => ~ ( index(ldr,host(X6)) = host(X6)
                  & index(status,host(X6)) = norm
                  & setIn(X6,alive) ) )
          & ! [X4,X7,X6,X5] :
              ( ( host(X5) = host(X6)
                & host(X7) = host(X4)
                & setIn(X6,alive)
                & setIn(X4,alive)
                & host(X6) != host(X4) )
             => ~ ( setIn(host(X7),index(down,host(X6)))
                  & elem(m_Down(X5),queue(host(X4))) ) )
          & ! [X4,X7,X6,X5] :
              ( ( host(X5) = host(X6)
                & host(X7) = host(X4)
                & setIn(X6,alive)
                & setIn(X4,alive)
                & host(X6) != host(X4) )
             => ~ ( elem(m_Down(X7),queue(host(X6)))
                  & elem(m_Down(X5),queue(host(X4))) ) )
          & ! [X4,X6,X5] :
              ( ( host(X6) = host(X4)
                & elem(m_Down(X6),queue(host(X5)))
                & setIn(X5,alive)
                & ~ leq(host(X6),host(X5)) )
             => ~ ( index(status,host(X4)) = norm
                  & index(ldr,host(X4)) = host(X4)
                  & setIn(X4,alive) ) )
          & ! [X4,X5] :
              ( ( index(ldr,host(X5)) = host(X5)
                & index(status,host(X5)) = norm
                & index(status,host(X4)) = norm
                & index(ldr,host(X4)) = host(X4)
                & setIn(X5,alive)
                & setIn(X4,alive) )
             => X5 = X4 )
          & ! [X4,X6,X5] :
              ( ( index(ldr,host(X5)) = host(X5)
                & index(status,host(X5)) = norm
                & host(X6) = host(X5)
                & setIn(X5,alive) )
             => ~ ( elem(m_Down(X6),queue(host(X4)))
                  & setIn(X4,alive) ) )
          & ! [X4,X6,X5] :
              ( ( index(status,host(X5)) = elec_2
                & host(X5) = host(X6)
                & elem(m_Down(X6),queue(host(X4)))
                & setIn(X5,alive)
                & setIn(X4,alive) )
             => leq(index(pendack,host(X5)),host(X4)) )
          & ! [X4,X5] :
              ( ( index(ldr,host(X5)) = host(X5)
                & index(status,host(X5)) = norm
                & setIn(X5,alive) )
             => ~ ( setIn(host(X5),index(down,host(X4)))
                  & setIn(X4,alive) ) )
          & ! [X4,X5] :
              ( ( index(status,host(X5)) = elec_2
                & setIn(host(X5),index(down,host(X4)))
                & setIn(X5,alive)
                & setIn(X4,alive) )
             => leq(index(pendack,host(X5)),host(X4)) )
          & ! [X4] :
              ( ( setIn(X4,alive)
                & ( index(status,host(X4)) = elec_2
                  | index(status,host(X4)) = elec_1 ) )
             => index(elid,host(X4)) = X4 )
          & ! [X4,X5] :
              ( ( host(X5) = host(X4)
                & X5 != X4 )
             => ( ~ setIn(X5,alive)
                | ~ setIn(X4,alive) ) )
          & ! [X4,X5] :
              ( elem(m_Down(X5),queue(host(X4)))
             => host(X5) != host(X4) )
          & ! [X4,X5] :
              ( elem(m_Ldr(X5),queue(host(X4)))
             => ~ leq(host(X4),host(X5)) ) )
       => ( setIn(X2,alive)
         => ( ( host(X3) = index(pendack,host(X2))
              & index(status,host(X2)) = elec_2
              & index(elid,host(X2)) = X1 )
           => ( leq(nbr_proc,index(pendack,host(X2)))
             => ! [X4] :
                  ( ( host(X4) = host(X3)
                    | setIn(host(X4),index(acks,host(X2))) )
                 => ! [X8] :
                      ( host(X2) = host(X8)
                     => ! [X9,X10,X11] :
                          ( host(X4) = host(X11)
                         => ( host(X2) != host(X11)
                           => ( ( index(status,host(X11)) = elec_1
                                & host(X9) = s(host(X11))
                                & elem(m_Down(X10),snoc(queue(host(X11)),m_Ldr(X2)))
                                & elem(m_Down(X9),snoc(queue(host(X11)),m_Ldr(X2)))
                                & leq(nbr_proc,s(host(X11)))
                                & setIn(X11,alive)
                                & ! [X12] :
                                    ( ( leq(s(zero),X12)
                                      & ~ leq(host(X11),X12) )
                                   => ( X12 = host(X10)
                                      | setIn(X12,index(down,host(X11))) ) ) )
                             => ~ ( host(X2) = host(X8)
                                  & setIn(X8,alive) ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f67]) ).

fof(f69,plain,
    ~ ! [X0,X1,X2,X3] :
        ( ( queue(host(X2)) = cons(m_Ack(X1,X3),X0)
          & ! [X45,X46,X47,X48] :
              ( ( elec_1 = index(status,host(X48))
                & s(host(X48)) = host(X46)
                & elem(m_Down(X46),queue(host(X48)))
                & elem(m_Down(X47),queue(host(X48)))
                & leq(nbr_proc,s(host(X48)))
                & setIn(X48,alive)
                & ! [X49] :
                    ( ( leq(s(zero),X49)
                      & ~ leq(host(X48),X49) )
                   => ( host(X47) = X49
                      | setIn(X49,index(down,host(X48))) ) ) )
             => ~ ( norm = index(status,host(X45))
                  & host(X45) = index(ldr,host(X45))
                  & setIn(X45,alive) ) )
          & ! [X40,X41,X42,X43] :
              ( ( elec_1 = index(status,host(X43))
                & elec_2 = index(status,host(X40))
                & host(X43) = host(X41)
                & elem(m_Down(X42),queue(host(X43)))
                & leq(host(X40),host(X43))
                & setIn(X40,alive)
                & ! [X44] :
                    ( ( leq(s(zero),X44)
                      & ~ leq(host(X43),X44) )
                   => ( host(X42) = X44
                      | setIn(X44,index(down,host(X43))) ) ) )
             => ~ elem(m_Ack(X40,X41),queue(host(X40))) )
          & ! [X37,X38,X39] :
              ( ( host(X38) = host(index(elid,host(X39)))
                & wait = index(status,host(X39))
                & host(X38) = host(X37)
                & elem(m_Down(X37),queue(host(X39)))
                & setIn(X39,alive)
                & host(X39) != host(X38) )
             => ~ ( host(X38) = index(ldr,host(X38))
                  & norm = index(status,host(X38))
                  & setIn(X38,alive) ) )
          & ! [X34,X35,X36] :
              ( ( host(X35) = index(ldr,host(X36))
                & norm = index(status,host(X36))
                & host(X35) = host(X34)
                & elem(m_Down(X34),queue(host(X36)))
                & setIn(X36,alive)
                & host(X36) != host(X35) )
             => ~ ( host(X35) = index(ldr,host(X35))
                  & norm = index(status,host(X35))
                  & setIn(X35,alive) ) )
          & ! [X30,X31,X32,X33] :
              ( ( host(X32) = host(X33)
                & host(X30) = host(X31)
                & setIn(X32,alive)
                & setIn(X30,alive)
                & host(X30) != host(X32) )
             => ~ ( setIn(host(X31),index(down,host(X32)))
                  & elem(m_Down(X33),queue(host(X30))) ) )
          & ! [X26,X27,X28,X29] :
              ( ( host(X28) = host(X29)
                & host(X26) = host(X27)
                & setIn(X28,alive)
                & setIn(X26,alive)
                & host(X26) != host(X28) )
             => ~ ( elem(m_Down(X27),queue(host(X28)))
                  & elem(m_Down(X29),queue(host(X26))) ) )
          & ! [X23,X24,X25] :
              ( ( host(X24) = host(X23)
                & elem(m_Down(X24),queue(host(X25)))
                & setIn(X25,alive)
                & ~ leq(host(X24),host(X25)) )
             => ~ ( norm = index(status,host(X23))
                  & host(X23) = index(ldr,host(X23))
                  & setIn(X23,alive) ) )
          & ! [X21,X22] :
              ( ( host(X22) = index(ldr,host(X22))
                & norm = index(status,host(X22))
                & norm = index(status,host(X21))
                & host(X21) = index(ldr,host(X21))
                & setIn(X22,alive)
                & setIn(X21,alive) )
             => X21 = X22 )
          & ! [X18,X19,X20] :
              ( ( host(X20) = index(ldr,host(X20))
                & norm = index(status,host(X20))
                & host(X20) = host(X19)
                & setIn(X20,alive) )
             => ~ ( elem(m_Down(X19),queue(host(X18)))
                  & setIn(X18,alive) ) )
          & ! [X15,X16,X17] :
              ( ( elec_2 = index(status,host(X17))
                & host(X17) = host(X16)
                & elem(m_Down(X16),queue(host(X15)))
                & setIn(X17,alive)
                & setIn(X15,alive) )
             => leq(index(pendack,host(X17)),host(X15)) )
          & ! [X13,X14] :
              ( ( host(X14) = index(ldr,host(X14))
                & norm = index(status,host(X14))
                & setIn(X14,alive) )
             => ~ ( setIn(host(X14),index(down,host(X13)))
                  & setIn(X13,alive) ) )
          & ! [X11,X12] :
              ( ( elec_2 = index(status,host(X12))
                & setIn(host(X12),index(down,host(X11)))
                & setIn(X12,alive)
                & setIn(X11,alive) )
             => leq(index(pendack,host(X12)),host(X11)) )
          & ! [X10] :
              ( ( setIn(X10,alive)
                & ( elec_2 = index(status,host(X10))
                  | elec_1 = index(status,host(X10)) ) )
             => index(elid,host(X10)) = X10 )
          & ! [X8,X9] :
              ( ( host(X8) = host(X9)
                & X8 != X9 )
             => ( ~ setIn(X9,alive)
                | ~ setIn(X8,alive) ) )
          & ! [X6,X7] :
              ( elem(m_Down(X7),queue(host(X6)))
             => host(X6) != host(X7) )
          & ! [X4,X5] :
              ( elem(m_Ldr(X5),queue(host(X4)))
             => ~ leq(host(X4),host(X5)) ) )
       => ( setIn(X2,alive)
         => ( ( host(X3) = index(pendack,host(X2))
              & index(status,host(X2)) = elec_2
              & index(elid,host(X2)) = X1 )
           => ( leq(nbr_proc,index(pendack,host(X2)))
             => ! [X50] :
                  ( ( host(X3) = host(X50)
                    | setIn(host(X50),index(acks,host(X2))) )
                 => ! [X51] :
                      ( host(X2) = host(X51)
                     => ! [X52,X53,X54] :
                          ( host(X50) = host(X54)
                         => ( host(X2) != host(X54)
                           => ( ( elec_1 = index(status,host(X54))
                                & s(host(X54)) = host(X52)
                                & elem(m_Down(X53),snoc(queue(host(X54)),m_Ldr(X2)))
                                & elem(m_Down(X52),snoc(queue(host(X54)),m_Ldr(X2)))
                                & leq(nbr_proc,s(host(X54)))
                                & setIn(X54,alive)
                                & ! [X55] :
                                    ( ( leq(s(zero),X55)
                                      & ~ leq(host(X54),X55) )
                                   => ( host(X53) = X55
                                      | setIn(X55,index(down,host(X54))) ) ) )
                             => ~ ( host(X2) = host(X51)
                                  & setIn(X51,alive) ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f68]) ).

fof(f70,plain,
    ? [X0,X1,X2,X3] :
      ( queue(host(X2)) = cons(m_Ack(X1,X3),X0)
      & ! [X45,X46,X47,X48] :
          ( elec_1 != index(status,host(X48))
          | s(host(X48)) != host(X46)
          | ~ elem(m_Down(X46),queue(host(X48)))
          | ~ elem(m_Down(X47),queue(host(X48)))
          | ~ leq(nbr_proc,s(host(X48)))
          | ~ setIn(X48,alive)
          | ? [X49] :
              ( leq(s(zero),X49)
              & ~ leq(host(X48),X49)
              & host(X47) != X49
              & ~ setIn(X49,index(down,host(X48))) )
          | norm != index(status,host(X45))
          | host(X45) != index(ldr,host(X45))
          | ~ setIn(X45,alive) )
      & ! [X40,X41,X42,X43] :
          ( elec_1 != index(status,host(X43))
          | elec_2 != index(status,host(X40))
          | host(X43) != host(X41)
          | ~ elem(m_Down(X42),queue(host(X43)))
          | ~ leq(host(X40),host(X43))
          | ~ setIn(X40,alive)
          | ? [X44] :
              ( leq(s(zero),X44)
              & ~ leq(host(X43),X44)
              & host(X42) != X44
              & ~ setIn(X44,index(down,host(X43))) )
          | ~ elem(m_Ack(X40,X41),queue(host(X40))) )
      & ! [X37,X38,X39] :
          ( host(X38) != host(index(elid,host(X39)))
          | wait != index(status,host(X39))
          | host(X38) != host(X37)
          | ~ elem(m_Down(X37),queue(host(X39)))
          | ~ setIn(X39,alive)
          | host(X39) = host(X38)
          | host(X38) != index(ldr,host(X38))
          | norm != index(status,host(X38))
          | ~ setIn(X38,alive) )
      & ! [X34,X35,X36] :
          ( host(X35) != index(ldr,host(X36))
          | norm != index(status,host(X36))
          | host(X35) != host(X34)
          | ~ elem(m_Down(X34),queue(host(X36)))
          | ~ setIn(X36,alive)
          | host(X36) = host(X35)
          | host(X35) != index(ldr,host(X35))
          | norm != index(status,host(X35))
          | ~ setIn(X35,alive) )
      & ! [X30,X31,X32,X33] :
          ( host(X32) != host(X33)
          | host(X30) != host(X31)
          | ~ setIn(X32,alive)
          | ~ setIn(X30,alive)
          | host(X30) = host(X32)
          | ~ setIn(host(X31),index(down,host(X32)))
          | ~ elem(m_Down(X33),queue(host(X30))) )
      & ! [X26,X27,X28,X29] :
          ( host(X28) != host(X29)
          | host(X26) != host(X27)
          | ~ setIn(X28,alive)
          | ~ setIn(X26,alive)
          | host(X26) = host(X28)
          | ~ elem(m_Down(X27),queue(host(X28)))
          | ~ elem(m_Down(X29),queue(host(X26))) )
      & ! [X23,X24,X25] :
          ( host(X24) != host(X23)
          | ~ elem(m_Down(X24),queue(host(X25)))
          | ~ setIn(X25,alive)
          | leq(host(X24),host(X25))
          | norm != index(status,host(X23))
          | host(X23) != index(ldr,host(X23))
          | ~ setIn(X23,alive) )
      & ! [X21,X22] :
          ( host(X22) != index(ldr,host(X22))
          | norm != index(status,host(X22))
          | norm != index(status,host(X21))
          | host(X21) != index(ldr,host(X21))
          | ~ setIn(X22,alive)
          | ~ setIn(X21,alive)
          | X21 = X22 )
      & ! [X18,X19,X20] :
          ( host(X20) != index(ldr,host(X20))
          | norm != index(status,host(X20))
          | host(X20) != host(X19)
          | ~ setIn(X20,alive)
          | ~ elem(m_Down(X19),queue(host(X18)))
          | ~ setIn(X18,alive) )
      & ! [X15,X16,X17] :
          ( elec_2 != index(status,host(X17))
          | host(X17) != host(X16)
          | ~ elem(m_Down(X16),queue(host(X15)))
          | ~ setIn(X17,alive)
          | ~ setIn(X15,alive)
          | leq(index(pendack,host(X17)),host(X15)) )
      & ! [X13,X14] :
          ( host(X14) != index(ldr,host(X14))
          | norm != index(status,host(X14))
          | ~ setIn(X14,alive)
          | ~ setIn(host(X14),index(down,host(X13)))
          | ~ setIn(X13,alive) )
      & ! [X11,X12] :
          ( elec_2 != index(status,host(X12))
          | ~ setIn(host(X12),index(down,host(X11)))
          | ~ setIn(X12,alive)
          | ~ setIn(X11,alive)
          | leq(index(pendack,host(X12)),host(X11)) )
      & ! [X10] :
          ( ~ setIn(X10,alive)
          | ( elec_2 != index(status,host(X10))
            & elec_1 != index(status,host(X10)) )
          | index(elid,host(X10)) = X10 )
      & ! [X8,X9] :
          ( host(X8) != host(X9)
          | X8 = X9
          | ~ setIn(X9,alive)
          | ~ setIn(X8,alive) )
      & ! [X6,X7] :
          ( ~ elem(m_Down(X7),queue(host(X6)))
          | host(X6) != host(X7) )
      & ! [X4,X5] :
          ( ~ elem(m_Ldr(X5),queue(host(X4)))
          | ~ leq(host(X4),host(X5)) )
      & setIn(X2,alive)
      & host(X3) = index(pendack,host(X2))
      & index(status,host(X2)) = elec_2
      & index(elid,host(X2)) = X1
      & leq(nbr_proc,index(pendack,host(X2)))
      & ? [X50] :
          ( ( host(X3) = host(X50)
            | setIn(host(X50),index(acks,host(X2))) )
          & ? [X51] :
              ( host(X2) = host(X51)
              & ? [X52,X53,X54] :
                  ( host(X50) = host(X54)
                  & host(X2) != host(X54)
                  & elec_1 = index(status,host(X54))
                  & s(host(X54)) = host(X52)
                  & elem(m_Down(X53),snoc(queue(host(X54)),m_Ldr(X2)))
                  & elem(m_Down(X52),snoc(queue(host(X54)),m_Ldr(X2)))
                  & leq(nbr_proc,s(host(X54)))
                  & setIn(X54,alive)
                  & ! [X55] :
                      ( ~ leq(s(zero),X55)
                      | leq(host(X54),X55)
                      | host(X53) = X55
                      | setIn(X55,index(down,host(X54))) )
                  & host(X2) = host(X51)
                  & setIn(X51,alive) ) ) ) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f71,plain,
    ? [X0,X1,X2,X3] :
      ( queue(host(X2)) = cons(m_Ack(X1,X3),X0)
      & ! [X45,X46,X47,X48] :
          ( elec_1 != index(status,host(X48))
          | s(host(X48)) != host(X46)
          | ~ elem(m_Down(X46),queue(host(X48)))
          | ~ elem(m_Down(X47),queue(host(X48)))
          | ~ leq(nbr_proc,s(host(X48)))
          | ~ setIn(X48,alive)
          | ? [X49] :
              ( leq(s(zero),X49)
              & ~ leq(host(X48),X49)
              & host(X47) != X49
              & ~ setIn(X49,index(down,host(X48))) )
          | norm != index(status,host(X45))
          | host(X45) != index(ldr,host(X45))
          | ~ setIn(X45,alive) )
      & ! [X40,X41,X42,X43] :
          ( elec_1 != index(status,host(X43))
          | elec_2 != index(status,host(X40))
          | host(X43) != host(X41)
          | ~ elem(m_Down(X42),queue(host(X43)))
          | ~ leq(host(X40),host(X43))
          | ~ setIn(X40,alive)
          | ? [X44] :
              ( leq(s(zero),X44)
              & ~ leq(host(X43),X44)
              & host(X42) != X44
              & ~ setIn(X44,index(down,host(X43))) )
          | ~ elem(m_Ack(X40,X41),queue(host(X40))) )
      & ! [X37,X38,X39] :
          ( host(X38) != host(index(elid,host(X39)))
          | wait != index(status,host(X39))
          | host(X38) != host(X37)
          | ~ elem(m_Down(X37),queue(host(X39)))
          | ~ setIn(X39,alive)
          | host(X39) = host(X38)
          | host(X38) != index(ldr,host(X38))
          | norm != index(status,host(X38))
          | ~ setIn(X38,alive) )
      & ! [X34,X35,X36] :
          ( host(X35) != index(ldr,host(X36))
          | norm != index(status,host(X36))
          | host(X35) != host(X34)
          | ~ elem(m_Down(X34),queue(host(X36)))
          | ~ setIn(X36,alive)
          | host(X36) = host(X35)
          | host(X35) != index(ldr,host(X35))
          | norm != index(status,host(X35))
          | ~ setIn(X35,alive) )
      & ! [X30,X31,X32,X33] :
          ( host(X32) != host(X33)
          | host(X30) != host(X31)
          | ~ setIn(X32,alive)
          | ~ setIn(X30,alive)
          | host(X30) = host(X32)
          | ~ setIn(host(X31),index(down,host(X32)))
          | ~ elem(m_Down(X33),queue(host(X30))) )
      & ! [X26,X27,X28,X29] :
          ( host(X28) != host(X29)
          | host(X26) != host(X27)
          | ~ setIn(X28,alive)
          | ~ setIn(X26,alive)
          | host(X26) = host(X28)
          | ~ elem(m_Down(X27),queue(host(X28)))
          | ~ elem(m_Down(X29),queue(host(X26))) )
      & ! [X23,X24,X25] :
          ( host(X24) != host(X23)
          | ~ elem(m_Down(X24),queue(host(X25)))
          | ~ setIn(X25,alive)
          | leq(host(X24),host(X25))
          | norm != index(status,host(X23))
          | host(X23) != index(ldr,host(X23))
          | ~ setIn(X23,alive) )
      & ! [X21,X22] :
          ( host(X22) != index(ldr,host(X22))
          | norm != index(status,host(X22))
          | norm != index(status,host(X21))
          | host(X21) != index(ldr,host(X21))
          | ~ setIn(X22,alive)
          | ~ setIn(X21,alive)
          | X21 = X22 )
      & ! [X18,X19,X20] :
          ( host(X20) != index(ldr,host(X20))
          | norm != index(status,host(X20))
          | host(X20) != host(X19)
          | ~ setIn(X20,alive)
          | ~ elem(m_Down(X19),queue(host(X18)))
          | ~ setIn(X18,alive) )
      & ! [X15,X16,X17] :
          ( elec_2 != index(status,host(X17))
          | host(X17) != host(X16)
          | ~ elem(m_Down(X16),queue(host(X15)))
          | ~ setIn(X17,alive)
          | ~ setIn(X15,alive)
          | leq(index(pendack,host(X17)),host(X15)) )
      & ! [X13,X14] :
          ( host(X14) != index(ldr,host(X14))
          | norm != index(status,host(X14))
          | ~ setIn(X14,alive)
          | ~ setIn(host(X14),index(down,host(X13)))
          | ~ setIn(X13,alive) )
      & ! [X11,X12] :
          ( elec_2 != index(status,host(X12))
          | ~ setIn(host(X12),index(down,host(X11)))
          | ~ setIn(X12,alive)
          | ~ setIn(X11,alive)
          | leq(index(pendack,host(X12)),host(X11)) )
      & ! [X10] :
          ( ~ setIn(X10,alive)
          | ( elec_2 != index(status,host(X10))
            & elec_1 != index(status,host(X10)) )
          | index(elid,host(X10)) = X10 )
      & ! [X8,X9] :
          ( host(X8) != host(X9)
          | X8 = X9
          | ~ setIn(X9,alive)
          | ~ setIn(X8,alive) )
      & ! [X6,X7] :
          ( ~ elem(m_Down(X7),queue(host(X6)))
          | host(X6) != host(X7) )
      & ! [X4,X5] :
          ( ~ elem(m_Ldr(X5),queue(host(X4)))
          | ~ leq(host(X4),host(X5)) )
      & setIn(X2,alive)
      & host(X3) = index(pendack,host(X2))
      & index(status,host(X2)) = elec_2
      & index(elid,host(X2)) = X1
      & leq(nbr_proc,index(pendack,host(X2)))
      & ? [X50] :
          ( ( host(X3) = host(X50)
            | setIn(host(X50),index(acks,host(X2))) )
          & ? [X51] :
              ( host(X2) = host(X51)
              & ? [X52,X53,X54] :
                  ( host(X50) = host(X54)
                  & host(X2) != host(X54)
                  & elec_1 = index(status,host(X54))
                  & s(host(X54)) = host(X52)
                  & elem(m_Down(X53),snoc(queue(host(X54)),m_Ldr(X2)))
                  & elem(m_Down(X52),snoc(queue(host(X54)),m_Ldr(X2)))
                  & leq(nbr_proc,s(host(X54)))
                  & setIn(X54,alive)
                  & ! [X55] :
                      ( ~ leq(s(zero),X55)
                      | leq(host(X54),X55)
                      | host(X53) = X55
                      | setIn(X55,index(down,host(X54))) )
                  & host(X2) = host(X51)
                  & setIn(X51,alive) ) ) ) ),
    inference(flattening,[],[f70]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( s(host(X0)) != host(X1)
      | host(X0) != host(X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f82,plain,
    ? [X0,X1,X2,X3] :
      ( queue(host(X2)) = cons(m_Ack(X1,X3),X0)
      & ! [X51,X52,X53,X54] :
          ( elec_1 != index(status,host(X54))
          | s(host(X54)) != host(X52)
          | ~ elem(m_Down(X52),queue(host(X54)))
          | ~ elem(m_Down(X53),queue(host(X54)))
          | ~ leq(nbr_proc,s(host(X54)))
          | ~ setIn(X54,alive)
          | ? [X55] :
              ( leq(s(zero),X55)
              & ~ leq(host(X54),X55)
              & host(X53) != X55
              & ~ setIn(X55,index(down,host(X54))) )
          | norm != index(status,host(X51))
          | host(X51) != index(ldr,host(X51))
          | ~ setIn(X51,alive) )
      & ! [X46,X47,X48,X49] :
          ( elec_1 != index(status,host(X49))
          | elec_2 != index(status,host(X46))
          | host(X47) != host(X49)
          | ~ elem(m_Down(X48),queue(host(X49)))
          | ~ leq(host(X46),host(X49))
          | ~ setIn(X46,alive)
          | ? [X50] :
              ( leq(s(zero),X50)
              & ~ leq(host(X49),X50)
              & host(X48) != X50
              & ~ setIn(X50,index(down,host(X49))) )
          | ~ elem(m_Ack(X46,X47),queue(host(X46))) )
      & ! [X43,X44,X45] :
          ( host(X44) != host(index(elid,host(X45)))
          | wait != index(status,host(X45))
          | host(X43) != host(X44)
          | ~ elem(m_Down(X43),queue(host(X45)))
          | ~ setIn(X45,alive)
          | host(X45) = host(X44)
          | host(X44) != index(ldr,host(X44))
          | norm != index(status,host(X44))
          | ~ setIn(X44,alive) )
      & ! [X40,X41,X42] :
          ( host(X41) != index(ldr,host(X42))
          | norm != index(status,host(X42))
          | host(X40) != host(X41)
          | ~ elem(m_Down(X40),queue(host(X42)))
          | ~ setIn(X42,alive)
          | host(X42) = host(X41)
          | host(X41) != index(ldr,host(X41))
          | norm != index(status,host(X41))
          | ~ setIn(X41,alive) )
      & ! [X36,X37,X38,X39] :
          ( host(X39) != host(X38)
          | host(X36) != host(X37)
          | ~ setIn(X38,alive)
          | ~ setIn(X36,alive)
          | host(X36) = host(X38)
          | ~ setIn(host(X37),index(down,host(X38)))
          | ~ elem(m_Down(X39),queue(host(X36))) )
      & ! [X32,X33,X34,X35] :
          ( host(X35) != host(X34)
          | host(X32) != host(X33)
          | ~ setIn(X34,alive)
          | ~ setIn(X32,alive)
          | host(X32) = host(X34)
          | ~ elem(m_Down(X33),queue(host(X34)))
          | ~ elem(m_Down(X35),queue(host(X32))) )
      & ! [X29,X30,X31] :
          ( host(X29) != host(X30)
          | ~ elem(m_Down(X30),queue(host(X31)))
          | ~ setIn(X31,alive)
          | leq(host(X30),host(X31))
          | norm != index(status,host(X29))
          | host(X29) != index(ldr,host(X29))
          | ~ setIn(X29,alive) )
      & ! [X27,X28] :
          ( host(X28) != index(ldr,host(X28))
          | norm != index(status,host(X28))
          | norm != index(status,host(X27))
          | host(X27) != index(ldr,host(X27))
          | ~ setIn(X28,alive)
          | ~ setIn(X27,alive)
          | X27 = X28 )
      & ! [X24,X25,X26] :
          ( host(X26) != index(ldr,host(X26))
          | norm != index(status,host(X26))
          | host(X25) != host(X26)
          | ~ setIn(X26,alive)
          | ~ elem(m_Down(X25),queue(host(X24)))
          | ~ setIn(X24,alive) )
      & ! [X21,X22,X23] :
          ( elec_2 != index(status,host(X23))
          | host(X22) != host(X23)
          | ~ elem(m_Down(X22),queue(host(X21)))
          | ~ setIn(X23,alive)
          | ~ setIn(X21,alive)
          | leq(index(pendack,host(X23)),host(X21)) )
      & ! [X19,X20] :
          ( host(X20) != index(ldr,host(X20))
          | norm != index(status,host(X20))
          | ~ setIn(X20,alive)
          | ~ setIn(host(X20),index(down,host(X19)))
          | ~ setIn(X19,alive) )
      & ! [X17,X18] :
          ( elec_2 != index(status,host(X18))
          | ~ setIn(host(X18),index(down,host(X17)))
          | ~ setIn(X18,alive)
          | ~ setIn(X17,alive)
          | leq(index(pendack,host(X18)),host(X17)) )
      & ! [X16] :
          ( ~ setIn(X16,alive)
          | ( elec_2 != index(status,host(X16))
            & elec_1 != index(status,host(X16)) )
          | index(elid,host(X16)) = X16 )
      & ! [X14,X15] :
          ( host(X14) != host(X15)
          | X14 = X15
          | ~ setIn(X15,alive)
          | ~ setIn(X14,alive) )
      & ! [X12,X13] :
          ( ~ elem(m_Down(X13),queue(host(X12)))
          | host(X12) != host(X13) )
      & ! [X10,X11] :
          ( ~ elem(m_Ldr(X11),queue(host(X10)))
          | ~ leq(host(X10),host(X11)) )
      & setIn(X2,alive)
      & host(X3) = index(pendack,host(X2))
      & index(status,host(X2)) = elec_2
      & index(elid,host(X2)) = X1
      & leq(nbr_proc,index(pendack,host(X2)))
      & ? [X4] :
          ( ( host(X4) = host(X3)
            | setIn(host(X4),index(acks,host(X2))) )
          & ? [X5] :
              ( host(X2) = host(X5)
              & ? [X6,X7,X8] :
                  ( host(X4) = host(X8)
                  & host(X2) != host(X8)
                  & elec_1 = index(status,host(X8))
                  & host(X6) = s(host(X8))
                  & elem(m_Down(X7),snoc(queue(host(X8)),m_Ldr(X2)))
                  & elem(m_Down(X6),snoc(queue(host(X8)),m_Ldr(X2)))
                  & leq(nbr_proc,s(host(X8)))
                  & setIn(X8,alive)
                  & ! [X9] :
                      ( ~ leq(s(zero),X9)
                      | leq(host(X8),X9)
                      | host(X7) = X9
                      | setIn(X9,index(down,host(X8))) )
                  & host(X2) = host(X5)
                  & setIn(X5,alive) ) ) ) ),
    inference(rectify,[],[f71]) ).

fof(f83,plain,
    ( queue(host(sK2)) = cons(m_Ack(sK1,sK3),sK0)
    & ! [X51,X52,X53,X54] :
        ( elec_1 != index(status,host(X54))
        | s(host(X54)) != host(X52)
        | ~ elem(m_Down(X52),queue(host(X54)))
        | ~ elem(m_Down(X53),queue(host(X54)))
        | ~ leq(nbr_proc,s(host(X54)))
        | ~ setIn(X54,alive)
        | ( leq(s(zero),sK10(X53,X54))
          & ~ leq(host(X54),sK10(X53,X54))
          & host(X53) != sK10(X53,X54)
          & ~ setIn(sK10(X53,X54),index(down,host(X54))) )
        | norm != index(status,host(X51))
        | host(X51) != index(ldr,host(X51))
        | ~ setIn(X51,alive) )
    & ! [X46,X47,X48,X49] :
        ( elec_1 != index(status,host(X49))
        | elec_2 != index(status,host(X46))
        | host(X47) != host(X49)
        | ~ elem(m_Down(X48),queue(host(X49)))
        | ~ leq(host(X46),host(X49))
        | ~ setIn(X46,alive)
        | ( leq(s(zero),sK9(X48,X49))
          & ~ leq(host(X49),sK9(X48,X49))
          & host(X48) != sK9(X48,X49)
          & ~ setIn(sK9(X48,X49),index(down,host(X49))) )
        | ~ elem(m_Ack(X46,X47),queue(host(X46))) )
    & ! [X43,X44,X45] :
        ( host(X44) != host(index(elid,host(X45)))
        | wait != index(status,host(X45))
        | host(X43) != host(X44)
        | ~ elem(m_Down(X43),queue(host(X45)))
        | ~ setIn(X45,alive)
        | host(X45) = host(X44)
        | host(X44) != index(ldr,host(X44))
        | norm != index(status,host(X44))
        | ~ setIn(X44,alive) )
    & ! [X40,X41,X42] :
        ( host(X41) != index(ldr,host(X42))
        | norm != index(status,host(X42))
        | host(X40) != host(X41)
        | ~ elem(m_Down(X40),queue(host(X42)))
        | ~ setIn(X42,alive)
        | host(X42) = host(X41)
        | host(X41) != index(ldr,host(X41))
        | norm != index(status,host(X41))
        | ~ setIn(X41,alive) )
    & ! [X36,X37,X38,X39] :
        ( host(X39) != host(X38)
        | host(X36) != host(X37)
        | ~ setIn(X38,alive)
        | ~ setIn(X36,alive)
        | host(X36) = host(X38)
        | ~ setIn(host(X37),index(down,host(X38)))
        | ~ elem(m_Down(X39),queue(host(X36))) )
    & ! [X32,X33,X34,X35] :
        ( host(X35) != host(X34)
        | host(X32) != host(X33)
        | ~ setIn(X34,alive)
        | ~ setIn(X32,alive)
        | host(X32) = host(X34)
        | ~ elem(m_Down(X33),queue(host(X34)))
        | ~ elem(m_Down(X35),queue(host(X32))) )
    & ! [X29,X30,X31] :
        ( host(X29) != host(X30)
        | ~ elem(m_Down(X30),queue(host(X31)))
        | ~ setIn(X31,alive)
        | leq(host(X30),host(X31))
        | norm != index(status,host(X29))
        | host(X29) != index(ldr,host(X29))
        | ~ setIn(X29,alive) )
    & ! [X27,X28] :
        ( host(X28) != index(ldr,host(X28))
        | norm != index(status,host(X28))
        | norm != index(status,host(X27))
        | host(X27) != index(ldr,host(X27))
        | ~ setIn(X28,alive)
        | ~ setIn(X27,alive)
        | X27 = X28 )
    & ! [X24,X25,X26] :
        ( host(X26) != index(ldr,host(X26))
        | norm != index(status,host(X26))
        | host(X25) != host(X26)
        | ~ setIn(X26,alive)
        | ~ elem(m_Down(X25),queue(host(X24)))
        | ~ setIn(X24,alive) )
    & ! [X21,X22,X23] :
        ( elec_2 != index(status,host(X23))
        | host(X22) != host(X23)
        | ~ elem(m_Down(X22),queue(host(X21)))
        | ~ setIn(X23,alive)
        | ~ setIn(X21,alive)
        | leq(index(pendack,host(X23)),host(X21)) )
    & ! [X19,X20] :
        ( host(X20) != index(ldr,host(X20))
        | norm != index(status,host(X20))
        | ~ setIn(X20,alive)
        | ~ setIn(host(X20),index(down,host(X19)))
        | ~ setIn(X19,alive) )
    & ! [X17,X18] :
        ( elec_2 != index(status,host(X18))
        | ~ setIn(host(X18),index(down,host(X17)))
        | ~ setIn(X18,alive)
        | ~ setIn(X17,alive)
        | leq(index(pendack,host(X18)),host(X17)) )
    & ! [X16] :
        ( ~ setIn(X16,alive)
        | ( elec_2 != index(status,host(X16))
          & elec_1 != index(status,host(X16)) )
        | index(elid,host(X16)) = X16 )
    & ! [X14,X15] :
        ( host(X14) != host(X15)
        | X14 = X15
        | ~ setIn(X15,alive)
        | ~ setIn(X14,alive) )
    & ! [X12,X13] :
        ( ~ elem(m_Down(X13),queue(host(X12)))
        | host(X12) != host(X13) )
    & ! [X10,X11] :
        ( ~ elem(m_Ldr(X11),queue(host(X10)))
        | ~ leq(host(X10),host(X11)) )
    & setIn(sK2,alive)
    & host(sK3) = index(pendack,host(sK2))
    & elec_2 = index(status,host(sK2))
    & sK1 = index(elid,host(sK2))
    & leq(nbr_proc,index(pendack,host(sK2)))
    & ( host(sK4) = host(sK3)
      | setIn(host(sK4),index(acks,host(sK2))) )
    & host(sK2) = host(sK5)
    & host(sK8) = host(sK4)
    & host(sK2) != host(sK8)
    & elec_1 = index(status,host(sK8))
    & s(host(sK8)) = host(sK6)
    & elem(m_Down(sK7),snoc(queue(host(sK8)),m_Ldr(sK2)))
    & elem(m_Down(sK6),snoc(queue(host(sK8)),m_Ldr(sK2)))
    & leq(nbr_proc,s(host(sK8)))
    & setIn(sK8,alive)
    & ! [X9] :
        ( ~ leq(s(zero),X9)
        | leq(host(sK8),X9)
        | host(sK7) = X9
        | setIn(X9,index(down,host(sK8))) )
    & host(sK2) = host(sK5)
    & setIn(sK5,alive) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X50,sK9(X48,X49)),skolemize(X55,sK10(X53,X54))],[f82]) ).

fof(f84,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,[],[f48]) ).

fof(f85,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,[],[f84]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ( ~ leq(X1,X0)
        | ~ leq(X0,X1)
        | X0 = X1 )
      & ( X0 != X1
        | ( leq(X1,X0)
          & leq(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f62]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ( ~ leq(X1,X0)
        | ~ leq(X0,X1)
        | X0 = X1 )
      & ( X0 != X1
        | ( leq(X1,X0)
          & leq(X0,X1) ) ) ),
    inference(flattening,[],[f88]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ( ~ leq(X0,s(X1))
        | leq(X0,X1)
        | X0 = s(X1) )
      & ( ( ~ leq(X0,X1)
          & s(X1) != X0 )
        | leq(X0,s(X1)) ) ),
    inference(nnf_transformation,[],[f65]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ( ~ leq(X0,s(X1))
        | leq(X0,X1)
        | X0 = s(X1) )
      & ( ( ~ leq(X0,X1)
          & s(X1) != X0 )
        | leq(X0,s(X1)) ) ),
    inference(flattening,[],[f90]) ).

fof(f110,plain,
    ! [X34,X35,X32,X33] :
      ( host(X35) != host(X34)
      | host(X32) != host(X33)
      | ~ setIn(X34,alive)
      | ~ setIn(X32,alive)
      | host(X32) = host(X34)
      | ~ elem(m_Down(X33),queue(host(X34)))
      | ~ elem(m_Down(X35),queue(host(X32))) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f114,plain,
    ! [X21,X22,X23] :
      ( elec_2 != index(status,host(X23))
      | host(X22) != host(X23)
      | ~ elem(m_Down(X22),queue(host(X21)))
      | ~ setIn(X23,alive)
      | ~ setIn(X21,alive)
      | leq(index(pendack,host(X23)),host(X21)) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f116,plain,
    ! [X18,X17] :
      ( elec_2 != index(status,host(X18))
      | ~ setIn(host(X18),index(down,host(X17)))
      | ~ setIn(X18,alive)
      | ~ setIn(X17,alive)
      | leq(index(pendack,host(X18)),host(X17)) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f120,plain,
    ! [X12,X13] :
      ( ~ elem(m_Down(X13),queue(host(X12)))
      | host(X12) != host(X13) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f122,plain,
    setIn(sK2,alive),
    inference(cnf_transformation,[],[f83]) ).

fof(f123,plain,
    host(sK3) = index(pendack,host(sK2)),
    inference(cnf_transformation,[],[f83]) ).

fof(f124,plain,
    elec_2 = index(status,host(sK2)),
    inference(cnf_transformation,[],[f83]) ).

fof(f126,plain,
    leq(nbr_proc,index(pendack,host(sK2))),
    inference(cnf_transformation,[],[f83]) ).

fof(f129,plain,
    host(sK8) = host(sK4),
    inference(cnf_transformation,[],[f83]) ).

fof(f130,plain,
    host(sK2) != host(sK8),
    inference(cnf_transformation,[],[f83]) ).

fof(f132,plain,
    s(host(sK8)) = host(sK6),
    inference(cnf_transformation,[],[f83]) ).

fof(f133,plain,
    elem(m_Down(sK7),snoc(queue(host(sK8)),m_Ldr(sK2))),
    inference(cnf_transformation,[],[f83]) ).

fof(f134,plain,
    elem(m_Down(sK6),snoc(queue(host(sK8)),m_Ldr(sK2))),
    inference(cnf_transformation,[],[f83]) ).

fof(f135,plain,
    leq(nbr_proc,s(host(sK8))),
    inference(cnf_transformation,[],[f83]) ).

fof(f136,plain,
    setIn(sK8,alive),
    inference(cnf_transformation,[],[f83]) ).

fof(f137,plain,
    ! [X9] :
      ( ~ leq(s(zero),X9)
      | leq(host(sK8),X9)
      | host(sK7) = X9
      | setIn(X9,index(down,host(sK8))) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f147,plain,
    ! [X2,X0,X1] :
      ( ~ elem(X0,snoc(X2,X1))
      | elem(X0,X2)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f85]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( s(host(X0)) != host(X1)
      | host(X0) != host(X1) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ~ leq(X1,X0)
      | ~ leq(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f89]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( ~ leq(X0,s(X1))
      | leq(X0,X1)
      | s(X1) = X0 ),
    inference(cnf_transformation,[],[f91]) ).

fof(f167,plain,
    ! [X0] : ~ leq(s(X0),X0),
    inference(cnf_transformation,[],[f59]) ).

fof(f169,plain,
    ! [X0] : leq(s(zero),host(X0)),
    inference(cnf_transformation,[],[f3]) ).

fof(f170,plain,
    ! [X0] : leq(host(X0),nbr_proc),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ! [X0,X1] : m_Down(X0) != m_Ldr(X1),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_51,negated_conjecture,
    ! [X0: $i] :
      ( leq(host(sK8),X0)
      | setIn(X0,index(down,host(sK8)))
      | ( host(sK7) = X0 )
      | ~ leq(s(zero),X0) ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_52,negated_conjecture,
    setIn(sK8,alive),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_53,negated_conjecture,
    leq(nbr_proc,s(host(sK8))),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_54,negated_conjecture,
    elem(m_Down(sK6),snoc(queue(host(sK8)),m_Ldr(sK2))),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_55,negated_conjecture,
    elem(m_Down(sK7),snoc(queue(host(sK8)),m_Ldr(sK2))),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_56,negated_conjecture,
    s(host(sK8)) = host(sK6),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_58,negated_conjecture,
    host(sK2) != host(sK8),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_59,negated_conjecture,
    host(sK8) = host(sK4),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_62,negated_conjecture,
    leq(nbr_proc,index(pendack,host(sK2))),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_64,negated_conjecture,
    index(status,host(sK2)) = elec_2,
    inference(cnf_transformation,[],[f124]) ).

tcf(c_65,negated_conjecture,
    index(pendack,host(sK2)) = host(sK3),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_66,negated_conjecture,
    setIn(sK2,alive),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_68,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ~ elem(m_Down(X1),queue(host(X0)))
      | ( host(X0) != host(X1) ) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_72,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( leq(index(pendack,host(X0)),host(X1))
      | ~ setIn(X1,alive)
      | ~ setIn(X0,alive)
      | ~ setIn(host(X0),index(down,host(X1)))
      | ( index(status,host(X0)) != elec_2 ) ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_74,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( leq(index(pendack,host(X1)),host(X2))
      | ~ setIn(X2,alive)
      | ~ setIn(X1,alive)
      | ~ elem(m_Down(X0),queue(host(X2)))
      | ( host(X0) != host(X1) )
      | ( index(status,host(X1)) != elec_2 ) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_78,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( host(X1) = host(X2) )
      | ~ setIn(X2,alive)
      | ~ setIn(X1,alive)
      | ~ elem(m_Down(X3),queue(host(X1)))
      | ~ elem(m_Down(X0),queue(host(X2)))
      | ( host(X2) != host(X3) )
      | ( host(X0) != host(X1) ) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_100,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( elem(X0,X1)
      | ( X0 = X2 )
      | ~ elem(X0,snoc(X1,X2)) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_105,plain,
    ! [X0: $i,X1: $i] :
      ( ( host(X0) != host(X1) )
      | ( s(host(X0)) != host(X1) ) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_109,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ leq(X1,X0)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f157]) ).

tcf(c_114,plain,
    ! [X0: $i,X1: $i] :
      ( leq(X0,X1)
      | ( s(X1) = X0 )
      | ~ leq(X0,s(X1)) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_117,plain,
    ! [X0: $i] : ~ leq(s(X0),X0),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_119,plain,
    ! [X0: $i] : leq(s(zero),host(X0)),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_120,plain,
    ! [X0: $i] : leq(host(X0),nbr_proc),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_128,plain,
    ! [X0: $i,X1: $i] : m_Down(X0) != m_Ldr(X1),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_954,plain,
    leq(nbr_proc,host(sK6)),
    inference(demodulation,[status(thm)],[c_53,c_56]) ).

tcf(c_964,plain,
    leq(nbr_proc,host(sK3)),
    inference(demodulation,[status(thm)],[c_62,c_65]) ).

tcf(c_4418,plain,
    ~ leq(host(sK6),host(sK8)),
    inference(superposition,[status(thm)],[c_56,c_117]) ).

tcf(c_4560,plain,
    ! [X0: $i] :
      ( leq(index(pendack,host(sK2)),host(X0))
      | ~ setIn(sK2,alive)
      | ~ setIn(X0,alive)
      | ~ setIn(host(sK2),index(down,host(X0))) ),
    inference(superposition,[status(thm)],[c_64,c_72]) ).

tcf(c_4562,plain,
    ! [X0: $i] :
      ( leq(host(sK3),host(X0))
      | ~ setIn(sK2,alive)
      | ~ setIn(X0,alive)
      | ~ setIn(host(sK2),index(down,host(X0))) ),
    inference(light_normalisation,[status(thm)],[c_4560,c_65]) ).

tcf(c_4563,plain,
    ! [X0: $i] :
      ( leq(host(sK3),host(X0))
      | ~ setIn(X0,alive)
      | ~ setIn(host(sK2),index(down,host(X0))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4562,c_66]) ).

tcf(c_4594,plain,
    ! [X0: $i,X1: $i] :
      ( leq(index(pendack,host(sK2)),host(X1))
      | ~ setIn(sK2,alive)
      | ~ setIn(X1,alive)
      | ~ elem(m_Down(X0),queue(host(X1)))
      | ( host(X0) != host(sK2) ) ),
    inference(superposition,[status(thm)],[c_64,c_74]) ).

tcf(c_4596,plain,
    ! [X0: $i,X1: $i] :
      ( leq(host(sK3),host(X1))
      | ~ setIn(sK2,alive)
      | ~ setIn(X1,alive)
      | ~ elem(m_Down(X0),queue(host(X1)))
      | ( host(X0) != host(sK2) ) ),
    inference(light_normalisation,[status(thm)],[c_4594,c_65]) ).

tcf(c_4597,plain,
    ! [X0: $i,X1: $i] :
      ( leq(host(sK3),host(X1))
      | ~ setIn(X1,alive)
      | ~ elem(m_Down(X0),queue(host(X1)))
      | ( host(X0) != host(sK2) ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4596,c_66]) ).

tcf(c_4633,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( host(X0) = host(X2) )
      | ~ setIn(X2,alive)
      | ~ setIn(X0,alive)
      | ~ elem(m_Down(X2),queue(host(X0)))
      | ~ elem(m_Down(X1),queue(host(X2)))
      | ( host(X0) != host(X1) ) ),
    inference(equality_resolution,[status(thm)],[c_78]) ).

tcf(c_5163,plain,
    ( leq(host(sK3),host(sK8))
    | leq(host(sK8),host(sK2))
    | ( host(sK2) = host(sK7) )
    | ~ setIn(sK8,alive)
    | ~ leq(s(zero),host(sK2)) ),
    inference(superposition,[status(thm)],[c_51,c_4563]) ).

tcf(c_5169,plain,
    ( leq(host(sK3),host(sK8))
    | leq(host(sK8),host(sK2))
    | ( host(sK2) = host(sK7) ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5163,c_52,c_119]) ).

tcf(c_5284,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ setIn(X2,alive)
      | ~ setIn(X0,alive)
      | ~ elem(m_Down(X2),queue(host(X0)))
      | ~ elem(m_Down(X1),queue(host(X2)))
      | ( host(X0) != host(X1) ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4633,c_68]) ).

tcf(c_5960,plain,
    ! [X0: $i] :
      ( ( host(X0) = nbr_proc )
      | ~ leq(nbr_proc,host(X0)) ),
    inference(superposition,[status(thm)],[c_120,c_109]) ).

tcf(c_5961,plain,
    ( ( host(sK6) = nbr_proc )
    | ~ leq(host(sK6),nbr_proc) ),
    inference(superposition,[status(thm)],[c_954,c_109]) ).

tcf(c_5962,plain,
    ( ( host(sK3) = nbr_proc )
    | ~ leq(host(sK3),nbr_proc) ),
    inference(superposition,[status(thm)],[c_964,c_109]) ).

tcf(c_5983,plain,
    host(sK3) = nbr_proc,
    inference(forward_subsumption_resolution,[status(thm)],[c_5962,c_120]) ).

tcf(c_5984,plain,
    host(sK6) = nbr_proc,
    inference(forward_subsumption_resolution,[status(thm)],[c_5961,c_120]) ).

tcf(c_6026,plain,
    ! [X0: $i,X1: $i] :
      ( leq(nbr_proc,host(X1))
      | ~ setIn(X1,alive)
      | ~ elem(m_Down(X0),queue(host(X1)))
      | ( host(X0) != host(sK2) ) ),
    inference(demodulation,[status(thm)],[c_4597,c_5983]) ).

tcf(c_6027,plain,
    ( leq(nbr_proc,host(sK8))
    | leq(host(sK8),host(sK2))
    | ( host(sK2) = host(sK7) ) ),
    inference(demodulation,[status(thm)],[c_5169,c_5983]) ).

tcf(c_6066,plain,
    ~ leq(nbr_proc,host(sK8)),
    inference(demodulation,[status(thm)],[c_4418,c_5984]) ).

tcf(c_6068,plain,
    s(host(sK8)) = nbr_proc,
    inference(demodulation,[status(thm)],[c_56,c_5984]) ).

tcf(c_6070,plain,
    ( leq(host(sK8),host(sK2))
    | ( host(sK2) = host(sK7) ) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_6027,c_6066]) ).

tcf(c_6576,plain,
    ! [X0: $i,X1: $i] :
      ( ~ setIn(X1,alive)
      | ~ setIn(X0,alive)
      | ~ elem(m_Down(sK6),queue(host(X1)))
      | ~ elem(m_Down(X1),queue(host(X0)))
      | ( host(X0) != nbr_proc ) ),
    inference(superposition,[status(thm)],[c_5984,c_5284]) ).

tcf(c_6590,plain,
    ! [X0: $i] :
      ( ~ elem(m_Down(sK6),queue(host(X0)))
      | ( host(X0) != nbr_proc ) ),
    inference(superposition,[status(thm)],[c_5984,c_68]) ).

tcf(c_7085,plain,
    ( elem(m_Down(sK6),queue(host(sK8)))
    | ( m_Down(sK6) = m_Ldr(sK2) ) ),
    inference(superposition,[status(thm)],[c_54,c_100]) ).

tcf(c_7086,plain,
    ( elem(m_Down(sK7),queue(host(sK8)))
    | ( m_Down(sK7) = m_Ldr(sK2) ) ),
    inference(superposition,[status(thm)],[c_55,c_100]) ).

tcf(c_7089,plain,
    elem(m_Down(sK7),queue(host(sK8))),
    inference(forward_subsumption_resolution,[status(thm)],[c_7086,c_128]) ).

tcf(c_7090,plain,
    elem(m_Down(sK6),queue(host(sK8))),
    inference(forward_subsumption_resolution,[status(thm)],[c_7085,c_128]) ).

tcf(c_7470,plain,
    ! [X0: $i] :
      ( leq(X0,host(sK8))
      | ( s(host(sK8)) = X0 )
      | ~ leq(X0,nbr_proc) ),
    inference(superposition,[status(thm)],[c_6068,c_114]) ).

tcf(c_7480,plain,
    ! [X0: $i] :
      ( leq(X0,host(sK8))
      | ( X0 = nbr_proc )
      | ~ leq(X0,nbr_proc) ),
    inference(light_normalisation,[status(thm)],[c_7470,c_6068]) ).

tcf(c_7540,plain,
    ! [X0: $i] :
      ( ( host(X0) != nbr_proc )
      | ( host(X0) != host(sK8) ) ),
    inference(superposition,[status(thm)],[c_6068,c_105]) ).

tcf(c_12102,plain,
    ! [X0: $i] :
      ( leq(nbr_proc,host(X0))
      | ~ setIn(X0,alive)
      | ~ elem(m_Down(sK6),queue(host(X0)))
      | ( host(sK2) != nbr_proc ) ),
    inference(superposition,[status(thm)],[c_5984,c_6026]) ).

tcf(c_17877,plain,
    ( ( host(sK2) = host(sK7) )
    | ( host(sK2) = host(sK8) )
    | ~ leq(host(sK2),host(sK8)) ),
    inference(superposition,[status(thm)],[c_6070,c_109]) ).

tcf(c_17895,plain,
    ( ( host(sK2) = host(sK7) )
    | ~ leq(host(sK2),host(sK8)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17877,c_58]) ).

tcf(c_18691,plain,
    ( ( host(sK2) = nbr_proc )
    | ( host(sK2) = host(sK7) )
    | ~ leq(host(sK2),nbr_proc) ),
    inference(superposition,[status(thm)],[c_7480,c_17895]) ).

tcf(c_18701,plain,
    ( ( host(sK2) = nbr_proc )
    | ( host(sK2) = host(sK7) ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_18691,c_120]) ).

tcf(c_19028,plain,
    ! [X0: $i] :
      ( leq(nbr_proc,host(X0))
      | ( host(sK2) = nbr_proc )
      | ~ setIn(X0,alive)
      | ~ elem(m_Down(sK7),queue(host(X0))) ),
    inference(superposition,[status(thm)],[c_18701,c_6026]) ).

tcf(c_19103,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( host(sK2) = nbr_proc )
      | ( host(X0) = host(X2) )
      | ~ setIn(X2,alive)
      | ~ setIn(X0,alive)
      | ~ elem(m_Down(sK7),queue(host(X0)))
      | ~ elem(m_Down(X1),queue(host(X2)))
      | ( host(X2) != host(sK2) )
      | ( host(X0) != host(X1) ) ),
    inference(superposition,[status(thm)],[c_18701,c_78]) ).

tcf(c_23716,plain,
    ! [X0: $i,X1: $i] :
      ( ( host(sK2) = nbr_proc )
      | ( host(X0) = host(X1) )
      | ~ setIn(X1,alive)
      | ~ setIn(X0,alive)
      | ~ elem(m_Down(sK4),queue(host(X1)))
      | ~ elem(m_Down(sK7),queue(host(X0)))
      | ( host(X1) != host(sK2) )
      | ( host(X0) != host(sK8) ) ),
    inference(superposition,[status(thm)],[c_59,c_19103]) ).

tcf(c_23839,plain,
    ! [X0: $i] :
      ( ( host(sK2) = nbr_proc )
      | ~ setIn(X0,alive)
      | ( host(X0) != host(sK8) )
      | ~ elem(m_Down(sK7),queue(host(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_23716,c_5960,c_7540,c_19028]) ).

tcf(c_23840,plain,
    ! [X0: $i] :
      ( ( host(sK2) = nbr_proc )
      | ~ setIn(X0,alive)
      | ~ elem(m_Down(sK7),queue(host(X0)))
      | ( host(X0) != host(sK8) ) ),
    inference(renaming,[status(thm)],[c_23839]) ).

tcf(c_23854,plain,
    ( ( host(sK2) = nbr_proc )
    | ~ setIn(sK8,alive)
    | ~ elem(m_Down(sK7),queue(host(sK8))) ),
    inference(equality_resolution,[status(thm)],[c_23840]) ).

tcf(c_23855,plain,
    host(sK2) = nbr_proc,
    inference(forward_subsumption_resolution,[status(thm)],[c_23854,c_52,c_7089]) ).

tcf(c_24028,plain,
    ! [X0: $i] :
      ( ~ setIn(sK2,alive)
      | ~ setIn(X0,alive)
      | ~ elem(m_Down(sK6),queue(host(X0)))
      | ~ elem(m_Down(X0),queue(host(sK2))) ),
    inference(superposition,[status(thm)],[c_23855,c_6576]) ).

tcf(c_24148,plain,
    ! [X0: $i] :
      ( ~ setIn(sK2,alive)
      | ~ setIn(X0,alive)
      | ~ elem(m_Down(X0),queue(nbr_proc))
      | ~ elem(m_Down(sK6),queue(host(X0))) ),
    inference(light_normalisation,[status(thm)],[c_24028,c_23855]) ).

tcf(c_24149,plain,
    ! [X0: $i] :
      ( ~ setIn(X0,alive)
      | ~ elem(m_Down(X0),queue(nbr_proc))
      | ~ elem(m_Down(sK6),queue(host(X0))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_24148,c_66]) ).

tcf(c_25164,plain,
    ! [X0: $i] :
      ( ~ setIn(X0,alive)
      | ~ elem(m_Down(sK6),queue(host(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_24149,c_5960,c_6590,c_12102,c_23855]) ).

tcf(c_25171,plain,
    ~ setIn(sK8,alive),
    inference(superposition,[status(thm)],[c_7090,c_25164]) ).

tcf(c_25176,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_25171,c_52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV475+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/10.38  % Computer : n020.cluster.edu
% 0.09/10.38  % Model    : x86_64 x86_64
% 0.09/10.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.38  % Memory   : 8046.5625MB
% 0.09/10.38  % OS       : Linux 6.8.0-71-generic
% 0.09/10.38  % CPULimit : 300
% 0.09/10.38  % WCLimit  : 300
% 0.09/10.38  % DateTime : Thu Sep 24 19:53:29 UTC 2026
% 0.09/10.38  % CPUTime  : 
% 0.09/10.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/10.42  Running first-order theorem proving
% 0.14/10.42  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/10.43  
% 0.14/10.43  % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.43  
% 0.14/10.43  % Detected problem language: tptp
% 0.14/10.44  % Proving...
% 6.00/12.28  % SZS status Started for theBenchmark.p
% 6.00/12.28  % SZS status Theorem for theBenchmark.p
% 6.00/12.28  
% 6.00/12.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.00/12.28  
% 6.00/12.28  % ------  iProver source info
% 6.00/12.28  
% 6.00/12.28  % git: date: 2026-07-19 20:42:38 +0200
% 6.00/12.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.00/12.28  % git: non_committed_changes: false
% 6.00/12.28  
% 6.00/12.28  % ------ Parsing...
% 6.00/12.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 6.00/12.28  
% 6.00/12.28  % ------ Preprocessing... sup_sim: 5  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 6.00/12.28  
% 6.00/12.28  % ------ Preprocessing... gs_s  sp: 8 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 6.00/12.28  
% 6.00/12.28  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 6.00/12.28  % ------ Proving...
% 6.00/12.28  % ------ Problem Properties 
% 6.00/12.28  
% 6.00/12.28  % 
% 6.00/12.28  % clauses                               103
% 6.00/12.28  % conjectures                           43
% 6.00/12.28  % EPR                                   19
% 6.00/12.28  % Horn                                  93
% 6.00/12.28  % unary                                 51
% 6.00/12.28  % binary                                23
% 6.00/12.28  % lits                                  266
% 6.00/12.28  % lits eq                               122
% 6.00/12.28  % fd_pure                               0
% 6.00/12.28  % fd_pseudo                             0
% 6.00/12.28  % fd_cond                               1
% 6.00/12.28  % fd_pseudo_cond                        13
% 6.00/12.28  % AC symbols                            0
% 6.00/12.28  
% 6.00/12.28  % ------ Schedule dynamic 5 is on 
% 6.00/12.28  
% 6.00/12.28  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.00/12.28  
% 6.00/12.28  
% 6.00/12.28  % ------ 
% 6.00/12.28  % Current options:
% 6.00/12.28  % ------ 
% 6.00/12.28  
% 6.00/12.28  
% 6.00/12.28  % 
% 6.00/12.28  
% 6.00/12.28  % ------ Proving...
% 6.00/12.28  % 
% 6.00/12.28  
% 6.00/12.28  % SZS status Theorem for theBenchmark.p
% 6.00/12.28  
% 6.00/12.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.00/12.29  
% 6.00/12.29  
%------------------------------------------------------------------------------