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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV472+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 : n010.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 5.92s 11.77s
% Output   : CNFRefutation 5.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   86 (  29 unt;   0 def)
%            Number of atoms       :  745 ( 353 equ)
%            Maximal formula atoms :   70 (   8 avg)
%            Number of connectives : 1089 ( 430   ~; 334   |; 260   &)
%                                         (   2 <=>;  63  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   38 (   7 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    :   32 (  32 usr;  20 con; 0-2 aty)
%            Number of variables   :  374 (   0 sgn 347   !;  27   ?;  78   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f18,axiom,
    ! [X0,X1] : m_Down(X0) != m_Halt(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_17) ).

fof(f47,axiom,
    ! [X0,X1,X2] :
      ( elem(X0,cons(X1,X2))
    <=> ( elem(X0,X2)
        | X0 = X1 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_46) ).

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(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(X5) = host(X7)
              & host(X5) = nbr_proc
              & elem(m_Down(X6),queue(host(X5)))
              & ! [X8] :
                  ( ( leq(s(zero),X8)
                    & ~ leq(host(X5),X8) )
                 => ( X8 = host(X6)
                    | setIn(X8,index(down,host(X5))) ) ) )
           => ~ ( elem(m_Down(X7),queue(host(X4)))
                & setIn(X4,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(index(elid,host(X5))) = host(X6)
              & index(status,host(X5)) = wait
              & host(X5) = host(X4)
              & setIn(X5,alive)
              & host(X5) != host(X6) )
           => ~ elem(m_Down(X4),queue(host(X6))) )
        & ! [X4,X6,X5] :
            ( ( index(ldr,host(X5)) = host(X6)
              & index(status,host(X5)) = norm
              & host(X5) = host(X4)
              & setIn(X5,alive)
              & host(X5) != host(X6) )
           => ~ elem(m_Down(X4),queue(host(X6))) )
        & ! [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] :
            ( host(X5) = nbr_proc
           => ~ elem(m_NotNorm(X4),queue(host(X5))) )
        & ! [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] :
                ( s(index(pendack,host(X2))) = host(X4)
               => ( host(X2) = host(X4)
                 => ! [X9,X10,X11] :
                      ( s(index(pendack,host(X2))) != host(X11)
                     => ( host(X2) != host(X11)
                       => ( ( index(status,host(X11)) = elec_1
                            & host(X11) = nbr_proc
                            & host(X11) = host(X9)
                            & elem(m_Down(X10),queue(host(X11)))
                            & ! [X8] :
                                ( ( leq(s(zero),X8)
                                  & ~ leq(host(X11),X8) )
                               => ( X8 = host(X10)
                                  | setIn(X8,index(down,host(X11))) ) ) )
                         => ~ ( elem(m_Down(X9),snoc(X0,m_Halt(X2)))
                              & setIn(X4,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(X5) = host(X7)
                & host(X5) = nbr_proc
                & elem(m_Down(X6),queue(host(X5)))
                & ! [X8] :
                    ( ( leq(s(zero),X8)
                      & ~ leq(host(X5),X8) )
                   => ( X8 = host(X6)
                      | setIn(X8,index(down,host(X5))) ) ) )
             => ~ ( elem(m_Down(X7),queue(host(X4)))
                  & setIn(X4,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(index(elid,host(X5))) = host(X6)
                & index(status,host(X5)) = wait
                & host(X5) = host(X4)
                & setIn(X5,alive)
                & host(X5) != host(X6) )
             => ~ elem(m_Down(X4),queue(host(X6))) )
          & ! [X4,X6,X5] :
              ( ( index(ldr,host(X5)) = host(X6)
                & index(status,host(X5)) = norm
                & host(X5) = host(X4)
                & setIn(X5,alive)
                & host(X5) != host(X6) )
             => ~ elem(m_Down(X4),queue(host(X6))) )
          & ! [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] :
              ( host(X5) = nbr_proc
             => ~ elem(m_NotNorm(X4),queue(host(X5))) )
          & ! [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] :
                  ( s(index(pendack,host(X2))) = host(X4)
                 => ( host(X2) = host(X4)
                   => ! [X9,X10,X11] :
                        ( s(index(pendack,host(X2))) != host(X11)
                       => ( host(X2) != host(X11)
                         => ( ( index(status,host(X11)) = elec_1
                              & host(X11) = nbr_proc
                              & host(X11) = host(X9)
                              & elem(m_Down(X10),queue(host(X11)))
                              & ! [X8] :
                                  ( ( leq(s(zero),X8)
                                    & ~ leq(host(X11),X8) )
                                 => ( X8 = host(X10)
                                    | setIn(X8,index(down,host(X11))) ) ) )
                           => ~ ( elem(m_Down(X9),snoc(X0,m_Halt(X2)))
                                & setIn(X4,alive) ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f67]) ).

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

fof(f70,plain,
    ? [X0,X1,X2,X3] :
      ( queue(host(X2)) = cons(m_Ack(X1,X3),X0)
      & ! [X27,X28,X29,X30] :
          ( elec_1 != index(status,host(X30))
          | host(X30) != host(X28)
          | nbr_proc != host(X30)
          | ~ elem(m_Down(X29),queue(host(X30)))
          | ? [X31] :
              ( leq(s(zero),X31)
              & ~ leq(host(X30),X31)
              & host(X29) != X31
              & ~ setIn(X31,index(down,host(X30))) )
          | ~ elem(m_Down(X28),queue(host(X27)))
          | ~ setIn(X27,alive) )
      & ! [X23,X24,X25,X26] :
          ( host(X25) != host(X26)
          | host(X23) != host(X24)
          | ~ setIn(X25,alive)
          | ~ setIn(X23,alive)
          | host(X23) = host(X25)
          | ~ setIn(host(X24),index(down,host(X25)))
          | ~ elem(m_Down(X26),queue(host(X23))) )
      & ! [X19,X20,X21,X22] :
          ( host(X21) != host(X22)
          | host(X19) != host(X20)
          | ~ setIn(X21,alive)
          | ~ setIn(X19,alive)
          | host(X19) = host(X21)
          | ~ elem(m_Down(X20),queue(host(X21)))
          | ~ elem(m_Down(X22),queue(host(X19))) )
      & ! [X16,X17,X18] :
          ( host(X17) != host(index(elid,host(X18)))
          | wait != index(status,host(X18))
          | host(X18) != host(X16)
          | ~ setIn(X18,alive)
          | host(X18) = host(X17)
          | ~ elem(m_Down(X16),queue(host(X17))) )
      & ! [X13,X14,X15] :
          ( host(X14) != index(ldr,host(X15))
          | norm != index(status,host(X15))
          | host(X15) != host(X13)
          | ~ setIn(X15,alive)
          | host(X15) = host(X14)
          | ~ elem(m_Down(X13),queue(host(X14))) )
      & ! [X12] :
          ( ~ setIn(X12,alive)
          | ( elec_2 != index(status,host(X12))
            & elec_1 != index(status,host(X12)) )
          | index(elid,host(X12)) = X12 )
      & ! [X10,X11] :
          ( host(X11) != host(X10)
          | X10 = X11
          | ~ setIn(X11,alive)
          | ~ setIn(X10,alive) )
      & ! [X8,X9] :
          ( nbr_proc != host(X9)
          | ~ elem(m_NotNorm(X8),queue(host(X9))) )
      & ! [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)))
      & ? [X32] :
          ( s(index(pendack,host(X2))) = host(X32)
          & host(X2) = host(X32)
          & ? [X33,X34,X35] :
              ( s(index(pendack,host(X2))) != host(X35)
              & host(X2) != host(X35)
              & elec_1 = index(status,host(X35))
              & nbr_proc = host(X35)
              & host(X35) = host(X33)
              & elem(m_Down(X34),queue(host(X35)))
              & ! [X36] :
                  ( ~ leq(s(zero),X36)
                  | leq(host(X35),X36)
                  | host(X34) = X36
                  | setIn(X36,index(down,host(X35))) )
              & elem(m_Down(X33),snoc(X0,m_Halt(X2)))
              & setIn(X32,alive) ) ) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f71,plain,
    ? [X0,X1,X2,X3] :
      ( queue(host(X2)) = cons(m_Ack(X1,X3),X0)
      & ! [X27,X28,X29,X30] :
          ( elec_1 != index(status,host(X30))
          | host(X30) != host(X28)
          | nbr_proc != host(X30)
          | ~ elem(m_Down(X29),queue(host(X30)))
          | ? [X31] :
              ( leq(s(zero),X31)
              & ~ leq(host(X30),X31)
              & host(X29) != X31
              & ~ setIn(X31,index(down,host(X30))) )
          | ~ elem(m_Down(X28),queue(host(X27)))
          | ~ setIn(X27,alive) )
      & ! [X23,X24,X25,X26] :
          ( host(X25) != host(X26)
          | host(X23) != host(X24)
          | ~ setIn(X25,alive)
          | ~ setIn(X23,alive)
          | host(X23) = host(X25)
          | ~ setIn(host(X24),index(down,host(X25)))
          | ~ elem(m_Down(X26),queue(host(X23))) )
      & ! [X19,X20,X21,X22] :
          ( host(X21) != host(X22)
          | host(X19) != host(X20)
          | ~ setIn(X21,alive)
          | ~ setIn(X19,alive)
          | host(X19) = host(X21)
          | ~ elem(m_Down(X20),queue(host(X21)))
          | ~ elem(m_Down(X22),queue(host(X19))) )
      & ! [X16,X17,X18] :
          ( host(X17) != host(index(elid,host(X18)))
          | wait != index(status,host(X18))
          | host(X18) != host(X16)
          | ~ setIn(X18,alive)
          | host(X18) = host(X17)
          | ~ elem(m_Down(X16),queue(host(X17))) )
      & ! [X13,X14,X15] :
          ( host(X14) != index(ldr,host(X15))
          | norm != index(status,host(X15))
          | host(X15) != host(X13)
          | ~ setIn(X15,alive)
          | host(X15) = host(X14)
          | ~ elem(m_Down(X13),queue(host(X14))) )
      & ! [X12] :
          ( ~ setIn(X12,alive)
          | ( elec_2 != index(status,host(X12))
            & elec_1 != index(status,host(X12)) )
          | index(elid,host(X12)) = X12 )
      & ! [X10,X11] :
          ( host(X11) != host(X10)
          | X10 = X11
          | ~ setIn(X11,alive)
          | ~ setIn(X10,alive) )
      & ! [X8,X9] :
          ( nbr_proc != host(X9)
          | ~ elem(m_NotNorm(X8),queue(host(X9))) )
      & ! [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)))
      & ? [X32] :
          ( s(index(pendack,host(X2))) = host(X32)
          & host(X2) = host(X32)
          & ? [X33,X34,X35] :
              ( s(index(pendack,host(X2))) != host(X35)
              & host(X2) != host(X35)
              & elec_1 = index(status,host(X35))
              & nbr_proc = host(X35)
              & host(X35) = host(X33)
              & elem(m_Down(X34),queue(host(X35)))
              & ! [X36] :
                  ( ~ leq(s(zero),X36)
                  | leq(host(X35),X36)
                  | host(X34) = X36
                  | setIn(X36,index(down,host(X35))) )
              & elem(m_Down(X33),snoc(X0,m_Halt(X2)))
              & setIn(X32,alive) ) ) ),
    inference(flattening,[],[f70]) ).

fof(f82,plain,
    ? [X0,X1,X2,X3] :
      ( queue(host(X2)) = cons(m_Ack(X1,X3),X0)
      & ! [X32,X33,X34,X35] :
          ( elec_1 != index(status,host(X35))
          | host(X35) != host(X33)
          | nbr_proc != host(X35)
          | ~ elem(m_Down(X34),queue(host(X35)))
          | ? [X36] :
              ( leq(s(zero),X36)
              & ~ leq(host(X35),X36)
              & host(X34) != X36
              & ~ setIn(X36,index(down,host(X35))) )
          | ~ elem(m_Down(X33),queue(host(X32)))
          | ~ setIn(X32,alive) )
      & ! [X28,X29,X30,X31] :
          ( host(X30) != host(X31)
          | host(X29) != host(X28)
          | ~ setIn(X30,alive)
          | ~ setIn(X28,alive)
          | host(X30) = host(X28)
          | ~ setIn(host(X29),index(down,host(X30)))
          | ~ elem(m_Down(X31),queue(host(X28))) )
      & ! [X24,X25,X26,X27] :
          ( host(X26) != host(X27)
          | host(X25) != host(X24)
          | ~ setIn(X26,alive)
          | ~ setIn(X24,alive)
          | host(X24) = host(X26)
          | ~ elem(m_Down(X25),queue(host(X26)))
          | ~ elem(m_Down(X27),queue(host(X24))) )
      & ! [X21,X22,X23] :
          ( host(X22) != host(index(elid,host(X23)))
          | wait != index(status,host(X23))
          | host(X21) != host(X23)
          | ~ setIn(X23,alive)
          | host(X22) = host(X23)
          | ~ elem(m_Down(X21),queue(host(X22))) )
      & ! [X18,X19,X20] :
          ( host(X19) != index(ldr,host(X20))
          | norm != index(status,host(X20))
          | host(X18) != host(X20)
          | ~ setIn(X20,alive)
          | host(X19) = host(X20)
          | ~ elem(m_Down(X18),queue(host(X19))) )
      & ! [X17] :
          ( ~ setIn(X17,alive)
          | ( elec_2 != index(status,host(X17))
            & elec_1 != index(status,host(X17)) )
          | index(elid,host(X17)) = X17 )
      & ! [X15,X16] :
          ( host(X15) != host(X16)
          | X15 = X16
          | ~ setIn(X16,alive)
          | ~ setIn(X15,alive) )
      & ! [X13,X14] :
          ( nbr_proc != host(X14)
          | ~ elem(m_NotNorm(X13),queue(host(X14))) )
      & ! [X11,X12] :
          ( ~ elem(m_Down(X12),queue(host(X11)))
          | host(X11) != host(X12) )
      & ! [X9,X10] :
          ( ~ elem(m_Ldr(X10),queue(host(X9)))
          | ~ leq(host(X9),host(X10)) )
      & 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) = s(index(pendack,host(X2)))
          & host(X2) = host(X4)
          & ? [X5,X6,X7] :
              ( host(X7) != s(index(pendack,host(X2)))
              & host(X2) != host(X7)
              & elec_1 = index(status,host(X7))
              & nbr_proc = host(X7)
              & host(X5) = host(X7)
              & elem(m_Down(X6),queue(host(X7)))
              & ! [X8] :
                  ( ~ leq(s(zero),X8)
                  | leq(host(X7),X8)
                  | host(X6) = X8
                  | setIn(X8,index(down,host(X7))) )
              & elem(m_Down(X5),snoc(X0,m_Halt(X2)))
              & setIn(X4,alive) ) ) ),
    inference(rectify,[],[f71]) ).

fof(f83,plain,
    ( queue(host(sK2)) = cons(m_Ack(sK1,sK3),sK0)
    & ! [X32,X33,X34,X35] :
        ( elec_1 != index(status,host(X35))
        | host(X35) != host(X33)
        | nbr_proc != host(X35)
        | ~ elem(m_Down(X34),queue(host(X35)))
        | ( leq(s(zero),sK8(X34,X35))
          & ~ leq(host(X35),sK8(X34,X35))
          & host(X34) != sK8(X34,X35)
          & ~ setIn(sK8(X34,X35),index(down,host(X35))) )
        | ~ elem(m_Down(X33),queue(host(X32)))
        | ~ setIn(X32,alive) )
    & ! [X28,X29,X30,X31] :
        ( host(X30) != host(X31)
        | host(X29) != host(X28)
        | ~ setIn(X30,alive)
        | ~ setIn(X28,alive)
        | host(X30) = host(X28)
        | ~ setIn(host(X29),index(down,host(X30)))
        | ~ elem(m_Down(X31),queue(host(X28))) )
    & ! [X24,X25,X26,X27] :
        ( host(X26) != host(X27)
        | host(X25) != host(X24)
        | ~ setIn(X26,alive)
        | ~ setIn(X24,alive)
        | host(X24) = host(X26)
        | ~ elem(m_Down(X25),queue(host(X26)))
        | ~ elem(m_Down(X27),queue(host(X24))) )
    & ! [X21,X22,X23] :
        ( host(X22) != host(index(elid,host(X23)))
        | wait != index(status,host(X23))
        | host(X21) != host(X23)
        | ~ setIn(X23,alive)
        | host(X22) = host(X23)
        | ~ elem(m_Down(X21),queue(host(X22))) )
    & ! [X18,X19,X20] :
        ( host(X19) != index(ldr,host(X20))
        | norm != index(status,host(X20))
        | host(X18) != host(X20)
        | ~ setIn(X20,alive)
        | host(X19) = host(X20)
        | ~ elem(m_Down(X18),queue(host(X19))) )
    & ! [X17] :
        ( ~ setIn(X17,alive)
        | ( elec_2 != index(status,host(X17))
          & elec_1 != index(status,host(X17)) )
        | index(elid,host(X17)) = X17 )
    & ! [X15,X16] :
        ( host(X15) != host(X16)
        | X15 = X16
        | ~ setIn(X16,alive)
        | ~ setIn(X15,alive) )
    & ! [X13,X14] :
        ( nbr_proc != host(X14)
        | ~ elem(m_NotNorm(X13),queue(host(X14))) )
    & ! [X11,X12] :
        ( ~ elem(m_Down(X12),queue(host(X11)))
        | host(X11) != host(X12) )
    & ! [X9,X10] :
        ( ~ elem(m_Ldr(X10),queue(host(X9)))
        | ~ leq(host(X9),host(X10)) )
    & setIn(sK2,alive)
    & index(pendack,host(sK2)) = host(sK3)
    & elec_2 = index(status,host(sK2))
    & sK1 = index(elid,host(sK2))
    & ~ leq(nbr_proc,index(pendack,host(sK2)))
    & s(index(pendack,host(sK2))) = host(sK4)
    & host(sK2) = host(sK4)
    & host(sK7) != s(index(pendack,host(sK2)))
    & host(sK7) != host(sK2)
    & elec_1 = index(status,host(sK7))
    & nbr_proc = host(sK7)
    & host(sK7) = host(sK5)
    & elem(m_Down(sK6),queue(host(sK7)))
    & ! [X8] :
        ( ~ leq(s(zero),X8)
        | leq(host(sK7),X8)
        | host(sK6) = X8
        | setIn(X8,index(down,host(sK7))) )
    & elem(m_Down(sK5),snoc(sK0,m_Halt(sK2)))
    & setIn(sK4,alive) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8]),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(X36,sK8(X34,X35))],[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(f86,plain,
    ! [X0,X1,X2] :
      ( ( ~ elem(X0,cons(X1,X2))
        | elem(X0,X2)
        | X0 = X1 )
      & ( ( ~ elem(X0,X2)
          & X0 != X1 )
        | elem(X0,cons(X1,X2)) ) ),
    inference(nnf_transformation,[],[f47]) ).

fof(f87,plain,
    ! [X0,X1,X2] :
      ( ( ~ elem(X0,cons(X1,X2))
        | elem(X0,X2)
        | X0 = X1 )
      & ( ( ~ elem(X0,X2)
          & X0 != X1 )
        | elem(X0,cons(X1,X2)) ) ),
    inference(flattening,[],[f86]) ).

fof(f98,plain,
    queue(host(sK2)) = cons(m_Ack(sK1,sK3),sK0),
    inference(cnf_transformation,[],[f83]) ).

fof(f99,plain,
    ! [X34,X35,X32,X33] :
      ( elec_1 != index(status,host(X35))
      | host(X35) != host(X33)
      | nbr_proc != host(X35)
      | ~ elem(m_Down(X34),queue(host(X35)))
      | leq(s(zero),sK8(X34,X35))
      | ~ elem(m_Down(X33),queue(host(X32)))
      | ~ setIn(X32,alive) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f100,plain,
    ! [X34,X35,X32,X33] :
      ( elec_1 != index(status,host(X35))
      | host(X35) != host(X33)
      | nbr_proc != host(X35)
      | ~ elem(m_Down(X34),queue(host(X35)))
      | ~ leq(host(X35),sK8(X34,X35))
      | ~ elem(m_Down(X33),queue(host(X32)))
      | ~ setIn(X32,alive) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f101,plain,
    ! [X34,X35,X32,X33] :
      ( elec_1 != index(status,host(X35))
      | host(X35) != host(X33)
      | nbr_proc != host(X35)
      | ~ elem(m_Down(X34),queue(host(X35)))
      | host(X34) != sK8(X34,X35)
      | ~ elem(m_Down(X33),queue(host(X32)))
      | ~ setIn(X32,alive) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f102,plain,
    ! [X34,X35,X32,X33] :
      ( elec_1 != index(status,host(X35))
      | host(X35) != host(X33)
      | nbr_proc != host(X35)
      | ~ elem(m_Down(X34),queue(host(X35)))
      | ~ setIn(sK8(X34,X35),index(down,host(X35)))
      | ~ elem(m_Down(X33),queue(host(X32)))
      | ~ setIn(X32,alive) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f107,plain,
    ! [X17] :
      ( ~ setIn(X17,alive)
      | elec_2 != index(status,host(X17))
      | index(elid,host(X17)) = X17 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f113,plain,
    setIn(sK2,alive),
    inference(cnf_transformation,[],[f83]) ).

fof(f115,plain,
    elec_2 = index(status,host(sK2)),
    inference(cnf_transformation,[],[f83]) ).

fof(f116,plain,
    sK1 = index(elid,host(sK2)),
    inference(cnf_transformation,[],[f83]) ).

fof(f122,plain,
    elec_1 = index(status,host(sK7)),
    inference(cnf_transformation,[],[f83]) ).

fof(f123,plain,
    nbr_proc = host(sK7),
    inference(cnf_transformation,[],[f83]) ).

fof(f124,plain,
    host(sK7) = host(sK5),
    inference(cnf_transformation,[],[f83]) ).

fof(f125,plain,
    elem(m_Down(sK6),queue(host(sK7))),
    inference(cnf_transformation,[],[f83]) ).

fof(f126,plain,
    ! [X8] :
      ( ~ leq(s(zero),X8)
      | leq(host(sK7),X8)
      | host(sK6) = X8
      | setIn(X8,index(down,host(sK7))) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f127,plain,
    elem(m_Down(sK5),snoc(sK0,m_Halt(sK2))),
    inference(cnf_transformation,[],[f83]) ).

fof(f137,plain,
    ! [X2,X0,X1] :
      ( ~ elem(X0,snoc(X2,X1))
      | elem(X0,X2)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f85]) ).

fof(f141,plain,
    ! [X2,X0,X1] :
      ( ~ elem(X0,X2)
      | elem(X0,cons(X1,X2)) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f170,plain,
    ! [X0,X1] : m_Halt(X1) != m_Down(X0),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_50,negated_conjecture,
    elem(m_Down(sK5),snoc(sK0,m_Halt(sK2))),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_51,negated_conjecture,
    ! [X0: $i] :
      ( leq(host(sK7),X0)
      | setIn(X0,index(down,host(sK7)))
      | ( host(sK6) = X0 )
      | ~ leq(s(zero),X0) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_52,negated_conjecture,
    elem(m_Down(sK6),queue(host(sK7))),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_53,negated_conjecture,
    host(sK5) = host(sK7),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_54,negated_conjecture,
    host(sK7) = nbr_proc,
    inference(cnf_transformation,[],[f123]) ).

tcf(c_55,negated_conjecture,
    index(status,host(sK7)) = elec_1,
    inference(cnf_transformation,[],[f122]) ).

tcf(c_61,negated_conjecture,
    index(elid,host(sK2)) = sK1,
    inference(cnf_transformation,[],[f116]) ).

tcf(c_62,negated_conjecture,
    index(status,host(sK2)) = elec_2,
    inference(cnf_transformation,[],[f115]) ).

tcf(c_64,negated_conjecture,
    setIn(sK2,alive),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_70,negated_conjecture,
    ! [X0: $i] :
      ( ( index(elid,host(X0)) = X0 )
      | ~ setIn(X0,alive)
      | ( index(status,host(X0)) != elec_2 ) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_75,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ setIn(X3,alive)
      | ~ elem(m_Down(X2),queue(host(X0)))
      | ~ elem(m_Down(X1),queue(host(X3)))
      | ~ setIn(sK8(X2,X0),index(down,host(X0)))
      | ( host(X0) != nbr_proc )
      | ( host(X0) != host(X1) )
      | ( index(status,host(X0)) != elec_1 ) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_76,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ setIn(X3,alive)
      | ~ elem(m_Down(X2),queue(host(X3)))
      | ~ elem(m_Down(X0),queue(host(X1)))
      | ( host(X1) != nbr_proc )
      | ( host(X1) != host(X2) )
      | ( sK8(X0,X1) != host(X0) )
      | ( index(status,host(X1)) != elec_1 ) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_77,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ setIn(X3,alive)
      | ~ elem(m_Down(X2),queue(host(X0)))
      | ~ elem(m_Down(X1),queue(host(X3)))
      | ~ leq(host(X0),sK8(X2,X0))
      | ( host(X0) != nbr_proc )
      | ( host(X0) != host(X1) )
      | ( index(status,host(X0)) != elec_1 ) ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_78,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( leq(s(zero),sK8(X3,X0))
      | ~ setIn(X2,alive)
      | ~ elem(m_Down(X3),queue(host(X0)))
      | ~ elem(m_Down(X1),queue(host(X2)))
      | ( host(X0) != nbr_proc )
      | ( host(X0) != host(X1) )
      | ( index(status,host(X0)) != elec_1 ) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_79,negated_conjecture,
    cons(m_Ack(sK1,sK3),sK0) = queue(host(sK2)),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_90,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( elem(X0,X1)
      | ( X0 = X2 )
      | ~ elem(X0,snoc(X1,X2)) ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_92,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( elem(X0,cons(X2,X1))
      | ~ elem(X0,X1) ),
    inference(cnf_transformation,[],[f141]) ).

tcf(c_119,plain,
    ! [X0: $i,X1: $i] : m_Down(X0) != m_Halt(X1),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_745,plain,
    host(sK5) = nbr_proc,
    inference(light_normalisation,[status(thm)],[c_53,c_54]) ).

tcf(c_746,plain,
    elem(m_Down(sK6),queue(nbr_proc)),
    inference(light_normalisation,[status(thm)],[c_52,c_54]) ).

tcf(c_748,plain,
    index(status,nbr_proc) = elec_1,
    inference(light_normalisation,[status(thm)],[c_55,c_54]) ).

tcf(c_875,plain,
    ! [X0: $i] :
      ( leq(nbr_proc,X0)
      | setIn(X0,index(down,nbr_proc))
      | ( host(sK6) = X0 )
      | ~ leq(s(zero),X0) ),
    inference(light_normalisation,[status(thm)],[c_51,c_54]) ).

tcf(c_3303,plain,
    ( ( index(elid,host(sK2)) = sK2 )
    | ~ setIn(sK2,alive) ),
    inference(superposition,[status(thm)],[c_62,c_70]) ).

tcf(c_3307,plain,
    ( ( sK2 = sK1 )
    | ~ setIn(sK2,alive) ),
    inference(light_normalisation,[status(thm)],[c_3303,c_61]) ).

tcf(c_3308,plain,
    sK2 = sK1,
    inference(forward_subsumption_resolution,[status(thm)],[c_3307,c_64]) ).

tcf(c_3314,plain,
    cons(m_Ack(sK2,sK3),sK0) = queue(host(sK2)),
    inference(demodulation,[status(thm)],[c_79,c_3308]) ).

tcf(c_3484,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( leq(s(zero),sK8(X2,sK7))
      | ~ setIn(X1,alive)
      | ~ elem(m_Down(X2),queue(host(sK7)))
      | ~ elem(m_Down(X0),queue(host(X1)))
      | ( host(sK7) != nbr_proc )
      | ( host(X0) != host(sK7) )
      | ( index(status,nbr_proc) != elec_1 ) ),
    inference(superposition,[status(thm)],[c_54,c_78]) ).

tcf(c_3493,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( leq(s(zero),sK8(X2,sK7))
      | ~ setIn(X1,alive)
      | ~ elem(m_Down(X2),queue(host(sK7)))
      | ~ elem(m_Down(X0),queue(host(X1)))
      | ( host(X0) != host(sK7) ) ),
    inference(ground_joinability,[status(thm)],[c_3484,c_54,c_748]) ).

tcf(c_3494,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( leq(s(zero),sK8(X2,sK7))
      | ~ setIn(X1,alive)
      | ~ elem(m_Down(X2),queue(nbr_proc))
      | ~ elem(m_Down(X0),queue(host(X1)))
      | ( host(X0) != nbr_proc ) ),
    inference(light_normalisation,[status(thm)],[c_3493,c_54]) ).

tcf(c_3515,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ setIn(X1,alive)
      | ~ leq(host(sK7),sK8(X2,sK7))
      | ~ elem(m_Down(X2),queue(host(sK7)))
      | ~ elem(m_Down(X0),queue(host(X1)))
      | ( host(sK7) != nbr_proc )
      | ( host(X0) != host(sK7) )
      | ( index(status,nbr_proc) != elec_1 ) ),
    inference(superposition,[status(thm)],[c_54,c_77]) ).

tcf(c_3524,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ setIn(X1,alive)
      | ~ leq(host(sK7),sK8(X2,sK7))
      | ~ elem(m_Down(X2),queue(host(sK7)))
      | ~ elem(m_Down(X0),queue(host(X1)))
      | ( host(X0) != host(sK7) ) ),
    inference(ground_joinability,[status(thm)],[c_3515,c_54,c_748]) ).

tcf(c_3525,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ setIn(X1,alive)
      | ~ leq(nbr_proc,sK8(X2,sK7))
      | ~ elem(m_Down(X2),queue(nbr_proc))
      | ~ elem(m_Down(X0),queue(host(X1)))
      | ( host(X0) != nbr_proc ) ),
    inference(light_normalisation,[status(thm)],[c_3524,c_54]) ).

tcf(c_3560,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ setIn(X2,alive)
      | ~ elem(m_Down(X1),queue(host(sK7)))
      | ~ elem(m_Down(X0),queue(host(X2)))
      | ~ setIn(sK8(X1,sK7),index(down,host(sK7)))
      | ( host(sK7) != nbr_proc )
      | ( host(X0) != host(sK7) )
      | ( index(status,nbr_proc) != elec_1 ) ),
    inference(superposition,[status(thm)],[c_54,c_75]) ).

tcf(c_3569,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ setIn(X2,alive)
      | ~ elem(m_Down(X1),queue(host(sK7)))
      | ~ elem(m_Down(X0),queue(host(X2)))
      | ~ setIn(sK8(X1,sK7),index(down,host(sK7)))
      | ( host(X0) != host(sK7) ) ),
    inference(ground_joinability,[status(thm)],[c_3560,c_54,c_748]) ).

tcf(c_3570,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ setIn(X2,alive)
      | ~ elem(m_Down(X1),queue(nbr_proc))
      | ~ elem(m_Down(X0),queue(host(X2)))
      | ~ setIn(sK8(X1,sK7),index(down,nbr_proc))
      | ( host(X0) != nbr_proc ) ),
    inference(light_normalisation,[status(thm)],[c_3569,c_54]) ).

tcf(c_3679,plain,
    ! [X0: $i,X1: $i] :
      ( leq(s(zero),sK8(X1,sK7))
      | ~ setIn(X0,alive)
      | ~ elem(m_Down(X1),queue(nbr_proc))
      | ~ elem(m_Down(sK5),queue(host(X0))) ),
    inference(superposition,[status(thm)],[c_745,c_3494]) ).

tcf(c_3716,plain,
    ! [X0: $i,X1: $i] :
      ( ~ setIn(X0,alive)
      | ~ leq(nbr_proc,sK8(X1,sK7))
      | ~ elem(m_Down(X1),queue(nbr_proc))
      | ~ elem(m_Down(sK5),queue(host(X0))) ),
    inference(superposition,[status(thm)],[c_745,c_3525]) ).

tcf(c_3748,plain,
    ! [X0: $i,X1: $i] :
      ( ~ setIn(X1,alive)
      | ~ elem(m_Down(X0),queue(nbr_proc))
      | ~ elem(m_Down(sK5),queue(host(X1)))
      | ~ setIn(sK8(X0,sK7),index(down,nbr_proc)) ),
    inference(superposition,[status(thm)],[c_745,c_3570]) ).

tcf(c_4227,plain,
    ! [X0: $i] :
      ( elem(X0,queue(host(sK2)))
      | ~ elem(X0,sK0) ),
    inference(superposition,[status(thm)],[c_3314,c_92]) ).

tcf(c_5027,plain,
    ( elem(m_Down(sK5),sK0)
    | ( m_Down(sK5) = m_Halt(sK2) ) ),
    inference(superposition,[status(thm)],[c_50,c_90]) ).

tcf(c_5030,plain,
    elem(m_Down(sK5),sK0),
    inference(forward_subsumption_resolution,[status(thm)],[c_5027,c_119]) ).

tcf(c_6971,plain,
    ! [X0: $i,X1: $i] :
      ( leq(nbr_proc,sK8(X1,sK7))
      | ( sK8(X1,sK7) = host(sK6) )
      | ~ setIn(X0,alive)
      | ~ elem(m_Down(X1),queue(nbr_proc))
      | ~ leq(s(zero),sK8(X1,sK7))
      | ~ elem(m_Down(sK5),queue(host(X0))) ),
    inference(superposition,[status(thm)],[c_875,c_3748]) ).

tcf(c_9291,plain,
    ! [X0: $i,X1: $i] :
      ( ~ elem(m_Down(sK5),queue(host(X0)))
      | ~ elem(m_Down(X1),queue(nbr_proc))
      | ~ setIn(X0,alive)
      | ( sK8(X1,sK7) = host(sK6) ) ),
    inference(global_subsumption_just,[status(thm)],[c_6971,c_3679,c_3716,c_6971]) ).

tcf(c_9292,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK8(X1,sK7) = host(sK6) )
      | ~ setIn(X0,alive)
      | ~ elem(m_Down(X1),queue(nbr_proc))
      | ~ elem(m_Down(sK5),queue(host(X0))) ),
    inference(renaming,[status(thm)],[c_9291]) ).

tcf(c_9302,plain,
    ! [X0: $i] :
      ( ( sK8(X0,sK7) = host(sK6) )
      | ~ setIn(sK2,alive)
      | ~ elem(m_Down(sK5),sK0)
      | ~ elem(m_Down(X0),queue(nbr_proc)) ),
    inference(superposition,[status(thm)],[c_4227,c_9292]) ).

tcf(c_9305,plain,
    ! [X0: $i] :
      ( ( sK8(X0,sK7) = host(sK6) )
      | ~ elem(m_Down(X0),queue(nbr_proc)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9302,c_64,c_5030]) ).

tcf(c_9315,plain,
    sK8(sK6,sK7) = host(sK6),
    inference(superposition,[status(thm)],[c_746,c_9305]) ).

tcf(c_9335,plain,
    ! [X0: $i,X1: $i] :
      ( ~ setIn(X1,alive)
      | ~ elem(m_Down(sK6),queue(host(sK7)))
      | ~ elem(m_Down(X0),queue(host(X1)))
      | ( host(sK7) != nbr_proc )
      | ( host(X0) != host(sK7) )
      | ( index(status,host(sK7)) != elec_1 ) ),
    inference(superposition,[status(thm)],[c_9315,c_76]) ).

tcf(c_9353,plain,
    ! [X0: $i,X1: $i] :
      ( ~ setIn(X1,alive)
      | ~ elem(m_Down(sK6),queue(host(sK7)))
      | ~ elem(m_Down(X0),queue(host(X1)))
      | ( host(X0) != host(sK7) ) ),
    inference(ground_joinability,[status(thm)],[c_9335,c_54,c_748]) ).

tcf(c_9354,plain,
    ! [X0: $i,X1: $i] :
      ( ~ setIn(X1,alive)
      | ~ elem(m_Down(sK6),queue(nbr_proc))
      | ~ elem(m_Down(X0),queue(host(X1)))
      | ( host(X0) != nbr_proc ) ),
    inference(light_normalisation,[status(thm)],[c_9353,c_54]) ).

tcf(c_9355,plain,
    ! [X0: $i,X1: $i] :
      ( ~ setIn(X1,alive)
      | ~ elem(m_Down(X0),queue(host(X1)))
      | ( host(X0) != nbr_proc ) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9354,c_746]) ).

tcf(c_9404,plain,
    ! [X0: $i] :
      ( ~ setIn(X0,alive)
      | ~ elem(m_Down(sK5),queue(host(X0))) ),
    inference(superposition,[status(thm)],[c_745,c_9355]) ).

tcf(c_9423,plain,
    ( ~ setIn(sK2,alive)
    | ~ elem(m_Down(sK5),sK0) ),
    inference(superposition,[status(thm)],[c_4227,c_9404]) ).

tcf(c_9426,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9423,c_64,c_5030]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV472+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/10.37  % Computer : n010.cluster.edu
% 0.09/10.37  % Model    : x86_64 x86_64
% 0.09/10.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37  % Memory   : 8046.5625MB
% 0.09/10.37  % 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 19:50:26 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...
% 5.92/11.77  % SZS status Started for theBenchmark.p
% 5.92/11.77  % SZS status Theorem for theBenchmark.p
% 5.92/11.77  
% 5.92/11.77  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.92/11.77  
% 5.92/11.77  % ------  iProver source info
% 5.92/11.77  
% 5.92/11.77  % git: date: 2026-07-19 20:42:38 +0200
% 5.92/11.77  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.92/11.77  % git: non_committed_changes: false
% 5.92/11.77  
% 5.92/11.77  % ------ Parsing...
% 5.92/11.77  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 5.92/11.77  
% 5.92/11.77  % ------ Preprocessing... sup_sim: 10  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 % 
% 5.92/11.77  
% 5.92/11.77  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 5.92/11.77  
% 5.92/11.77  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 5.92/11.77  % ------ Proving...
% 5.92/11.77  % ------ Problem Properties 
% 5.92/11.77  
% 5.92/11.77  % 
% 5.92/11.77  % clauses                               87
% 5.92/11.77  % conjectures                           23
% 5.92/11.77  % EPR                                   14
% 5.92/11.77  % Horn                                  82
% 5.92/11.77  % unary                                 50
% 5.92/11.77  % binary                                19
% 5.92/11.77  % lits                                  175
% 5.92/11.77  % lits eq                               92
% 5.92/11.77  % fd_pure                               0
% 5.92/11.77  % fd_pseudo                             0
% 5.92/11.77  % fd_cond                               1
% 5.92/11.77  % fd_pseudo_cond                        12
% 5.92/11.77  % AC symbols                            0
% 5.92/11.77  
% 5.92/11.77  % ------ Schedule dynamic 5 is on 
% 5.92/11.77  
% 5.92/11.77  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 5.92/11.77  
% 5.92/11.77  
% 5.92/11.77  % ------ 
% 5.92/11.77  % Current options:
% 5.92/11.77  % ------ 
% 5.92/11.77  
% 5.92/11.77  
% 5.92/11.77  % 
% 5.92/11.77  
% 5.92/11.77  % ------ Proving...
% 5.92/11.77  % 
% 5.92/11.77  
% 5.92/11.77  % SZS status Theorem for theBenchmark.p
% 5.92/11.77  
% 5.92/11.77  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.92/11.77  
% 5.92/11.77  
%------------------------------------------------------------------------------