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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWV481+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 05:23:22 PM UTC 2026

% Result   : Theorem 284.98s 182.59s
% Output   : CNFRefutation 286.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   78 (  36 unt;   0 def)
%            Number of atoms       :  744 ( 339 equ)
%            Maximal formula atoms :  179 (   9 avg)
%            Number of connectives :  999 ( 333   ~; 268   |; 321   &)
%                                         (   4 <=>;  73  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   82 (   6 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   30 (  30 usr;  20 con; 0-7 aty)
%            Number of variables   :  291 (  37 sgn 230   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj,conjecture,
    ! [X12,X13,X5,X6] :
      ( ( ! [X7,X14] :
            ( elem(m_Ldr(X14),queue(host(X7)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7,X14] :
            ( elem(m_Down(X14),queue(host(X7)))
           => host(X14) != host(X7) )
        & ! [X7,X14] :
            ( ( X14 != X7
              & host(X14) = host(X7) )
           => ( ~ setIn(X7,alive)
              | ~ setIn(X14,alive) ) )
        & ! [X7] :
            ( ( ( index(status,host(X7)) = elec_1
                | index(status,host(X7)) = elec_2 )
              & setIn(X7,alive) )
           => index(elid,host(X7)) = X7 )
        & ! [X7,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & setIn(host(X14),index(down,host(X7)))
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X14] :
            ( ( setIn(X14,alive)
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X14) )
           => ~ ( setIn(X7,alive)
                & setIn(host(X14),index(down,host(X7))) ) )
        & ! [X7,X15,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & elem(m_Down(X15),queue(host(X7)))
              & host(X14) = host(X15)
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X15,X14] :
            ( ( setIn(X14,alive)
              & host(X15) = host(X14)
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X14) )
           => ~ ( setIn(X7,alive)
                & elem(m_Down(X15),queue(host(X7))) ) )
        & ! [X7,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & index(ldr,host(X7)) = host(X7)
              & index(status,host(X7)) = norm
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X14) )
           => X14 = X7 )
        & ! [X7,X15,X14] :
            ( ( ~ leq(host(X15),host(X14))
              & setIn(X14,alive)
              & elem(m_Down(X15),queue(host(X14)))
              & host(X15) = host(X7) )
           => ~ ( setIn(X7,alive)
                & index(ldr,host(X7)) = host(X7)
                & index(status,host(X7)) = norm ) )
        & ! [X7,X16,X15,X14] :
            ( ( host(X15) != host(X7)
              & setIn(X7,alive)
              & setIn(X15,alive)
              & host(X16) = host(X7)
              & host(X14) = host(X15) )
           => ~ ( elem(m_Down(X14),queue(host(X7)))
                & elem(m_Down(X16),queue(host(X15))) ) )
        & ! [X7,X16,X15,X14] :
            ( ( host(X15) != host(X7)
              & setIn(X7,alive)
              & setIn(X15,alive)
              & host(X16) = host(X7)
              & host(X14) = host(X15) )
           => ~ ( elem(m_Down(X14),queue(host(X7)))
                & setIn(host(X16),index(down,host(X15))) ) )
        & ! [X7,X15,X14] :
            ( ( host(X14) != host(X15)
              & setIn(X14,alive)
              & elem(m_Down(X7),queue(host(X14)))
              & host(X15) = host(X7)
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X15) )
           => ~ ( setIn(X15,alive)
                & index(status,host(X15)) = norm
                & index(ldr,host(X15)) = host(X15) ) )
        & ! [X7,X15,X14] :
            ( ( host(X14) != host(X15)
              & setIn(X14,alive)
              & elem(m_Down(X7),queue(host(X14)))
              & host(X15) = host(X7)
              & index(status,host(X14)) = wait
              & host(index(elid,host(X14))) = host(X15) )
           => ~ ( setIn(X15,alive)
                & index(status,host(X15)) = norm
                & index(ldr,host(X15)) = host(X15) ) )
        & ! [X7,X16,X15,X14] :
            ( ( ! [X17] :
                  ( ( ~ leq(host(X14),X17)
                    & leq(s(zero),X17) )
                 => ( setIn(X17,index(down,host(X14)))
                    | X17 = host(X15) ) )
              & setIn(X7,alive)
              & leq(host(X7),host(X14))
              & elem(m_Down(X15),queue(host(X14)))
              & host(X16) = host(X14)
              & index(status,host(X7)) = elec_2
              & index(status,host(X14)) = elec_1 )
           => ~ elem(m_Ack(X7,X16),queue(host(X7))) )
        & ! [X7,X16,X15,X14] :
            ( ( ! [X17] :
                  ( ( ~ leq(host(X14),X17)
                    & leq(s(zero),X17) )
                 => ( setIn(X17,index(down,host(X14)))
                    | X17 = host(X15) ) )
              & setIn(X14,alive)
              & leq(nbr_proc,s(host(X14)))
              & elem(m_Down(X15),queue(host(X14)))
              & elem(m_Down(X16),queue(host(X14)))
              & host(X16) = s(host(X14))
              & index(status,host(X14)) = elec_1 )
           => ~ ( setIn(X7,alive)
                & index(ldr,host(X7)) = host(X7)
                & index(status,host(X7)) = norm ) )
        & queue(host(X5)) = cons(m_Down(X6),X12) )
     => ( setIn(X5,alive)
       => ( ~ leq(host(X5),host(X6))
         => ( ~ ( ( index(ldr,host(X5)) = host(X6)
                  & index(status,host(X5)) = norm )
                | ( index(status,host(X5)) = wait
                  & host(X6) = host(index(elid,host(X5))) ) )
           => ( ~ ( ! [X7] :
                      ( ( ~ leq(host(X5),X7)
                        & leq(s(zero),X7) )
                     => ( setIn(X7,index(down,host(X5)))
                        | X7 = host(X6) ) )
                  & index(status,host(X5)) = elec_1 )
             => ! [X7,X18,X19,X20] :
                  ( host(X5) = host(X20)
                 => ( ( ! [X17] :
                          ( ( ~ leq(host(X20),X17)
                            & leq(s(zero),X17) )
                         => ( setIn(X17,index(down,host(X5)))
                            | X17 = host(X6)
                            | X17 = host(X19) ) )
                      & setIn(X20,alive)
                      & elem(m_Down(X18),X12)
                      & elem(m_Down(X19),X12)
                      & leq(nbr_proc,s(host(X20)))
                      & host(X18) = s(host(X20))
                      & index(status,host(X20)) = elec_1 )
                   => ~ ( setIn(X7,alive)
                        & index(ldr,host(X7)) = host(X7)
                        & index(status,host(X7)) = norm ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

fof(axiom_61,axiom,
    ! [X5,X6] :
      ( ( leq(X5,X6)
        & leq(X6,X5) )
    <=> X5 = X6 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_61) ).

fof(axiom_04,axiom,
    ! [X3] : leq(host(X3),nbr_proc),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_04) ).

fof(axiom_02,axiom,
    ! [X3] : leq(s(zero),host(X3)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_02) ).

fof(axiom_64,axiom,
    ! [X5,X6] :
      ( leq(X5,s(X6))
    <=> ( X5 = s(X6)
        | leq(X5,X6) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_64) ).

fof(axiom_46,axiom,
    ! [X5,X6,X4] :
      ( elem(X5,cons(X6,X4))
    <=> ( X5 = X6
        | elem(X5,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_46) ).

fof(axiom_07,axiom,
    elec_1 != norm,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_07) ).

fof(c_0_7,plain,
    ! [X5,X6,X12] :
      ( epred1_3(X12,X6,X5)
    <=> ( ! [X7,X14] :
            ( elem(m_Ldr(X14),queue(host(X7)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7,X14] :
            ( elem(m_Down(X14),queue(host(X7)))
           => host(X14) != host(X7) )
        & ! [X7,X14] :
            ( ( X14 != X7
              & host(X14) = host(X7) )
           => ( ~ setIn(X7,alive)
              | ~ setIn(X14,alive) ) )
        & ! [X7] :
            ( ( ( index(status,host(X7)) = elec_1
                | index(status,host(X7)) = elec_2 )
              & setIn(X7,alive) )
           => index(elid,host(X7)) = X7 )
        & ! [X7,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & setIn(host(X14),index(down,host(X7)))
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X14] :
            ( ( setIn(X14,alive)
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X14) )
           => ~ ( setIn(X7,alive)
                & setIn(host(X14),index(down,host(X7))) ) )
        & ! [X7,X15,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & elem(m_Down(X15),queue(host(X7)))
              & host(X14) = host(X15)
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X15,X14] :
            ( ( setIn(X14,alive)
              & host(X15) = host(X14)
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X14) )
           => ~ ( setIn(X7,alive)
                & elem(m_Down(X15),queue(host(X7))) ) )
        & ! [X7,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & index(ldr,host(X7)) = host(X7)
              & index(status,host(X7)) = norm
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X14) )
           => X14 = X7 )
        & ! [X7,X15,X14] :
            ( ( ~ leq(host(X15),host(X14))
              & setIn(X14,alive)
              & elem(m_Down(X15),queue(host(X14)))
              & host(X15) = host(X7) )
           => ~ ( setIn(X7,alive)
                & index(ldr,host(X7)) = host(X7)
                & index(status,host(X7)) = norm ) )
        & ! [X7,X16,X15,X14] :
            ( ( host(X15) != host(X7)
              & setIn(X7,alive)
              & setIn(X15,alive)
              & host(X16) = host(X7)
              & host(X14) = host(X15) )
           => ~ ( elem(m_Down(X14),queue(host(X7)))
                & elem(m_Down(X16),queue(host(X15))) ) )
        & ! [X7,X16,X15,X14] :
            ( ( host(X15) != host(X7)
              & setIn(X7,alive)
              & setIn(X15,alive)
              & host(X16) = host(X7)
              & host(X14) = host(X15) )
           => ~ ( elem(m_Down(X14),queue(host(X7)))
                & setIn(host(X16),index(down,host(X15))) ) )
        & ! [X7,X15,X14] :
            ( ( host(X14) != host(X15)
              & setIn(X14,alive)
              & elem(m_Down(X7),queue(host(X14)))
              & host(X15) = host(X7)
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X15) )
           => ~ ( setIn(X15,alive)
                & index(status,host(X15)) = norm
                & index(ldr,host(X15)) = host(X15) ) )
        & ! [X7,X15,X14] :
            ( ( host(X14) != host(X15)
              & setIn(X14,alive)
              & elem(m_Down(X7),queue(host(X14)))
              & host(X15) = host(X7)
              & index(status,host(X14)) = wait
              & host(index(elid,host(X14))) = host(X15) )
           => ~ ( setIn(X15,alive)
                & index(status,host(X15)) = norm
                & index(ldr,host(X15)) = host(X15) ) )
        & ! [X7,X16,X15,X14] :
            ( ( ! [X17] :
                  ( ( ~ leq(host(X14),X17)
                    & leq(s(zero),X17) )
                 => ( setIn(X17,index(down,host(X14)))
                    | X17 = host(X15) ) )
              & setIn(X7,alive)
              & leq(host(X7),host(X14))
              & elem(m_Down(X15),queue(host(X14)))
              & host(X16) = host(X14)
              & index(status,host(X7)) = elec_2
              & index(status,host(X14)) = elec_1 )
           => ~ elem(m_Ack(X7,X16),queue(host(X7))) )
        & ! [X7,X16,X15,X14] :
            ( ( ! [X17] :
                  ( ( ~ leq(host(X14),X17)
                    & leq(s(zero),X17) )
                 => ( setIn(X17,index(down,host(X14)))
                    | X17 = host(X15) ) )
              & setIn(X14,alive)
              & leq(nbr_proc,s(host(X14)))
              & elem(m_Down(X15),queue(host(X14)))
              & elem(m_Down(X16),queue(host(X14)))
              & host(X16) = s(host(X14))
              & index(status,host(X14)) = elec_1 )
           => ~ ( setIn(X7,alive)
                & index(ldr,host(X7)) = host(X7)
                & index(status,host(X7)) = norm ) )
        & queue(host(X5)) = cons(m_Down(X6),X12) ) ),
    introduced(definition) ).

fof(c_0_8,negated_conjecture,
    ~ ! [X12,X13,X5,X6] :
        ( epred1_3(X12,X6,X5)
       => ( setIn(X5,alive)
         => ( ~ leq(host(X5),host(X6))
           => ( ~ ( ( index(ldr,host(X5)) = host(X6)
                    & index(status,host(X5)) = norm )
                  | ( index(status,host(X5)) = wait
                    & host(X6) = host(index(elid,host(X5))) ) )
             => ( ~ ( ! [X7] :
                        ( ( ~ leq(host(X5),X7)
                          & leq(s(zero),X7) )
                       => ( setIn(X7,index(down,host(X5)))
                          | X7 = host(X6) ) )
                    & index(status,host(X5)) = elec_1 )
               => ! [X7,X18,X19,X20] :
                    ( host(X5) = host(X20)
                   => ( ( ! [X17] :
                            ( ( ~ leq(host(X20),X17)
                              & leq(s(zero),X17) )
                           => ( setIn(X17,index(down,host(X5)))
                              | X17 = host(X6)
                              | X17 = host(X19) ) )
                        & setIn(X20,alive)
                        & elem(m_Down(X18),X12)
                        & elem(m_Down(X19),X12)
                        & leq(nbr_proc,s(host(X20)))
                        & host(X18) = s(host(X20))
                        & index(status,host(X20)) = elec_1 )
                     => ~ ( setIn(X7,alive)
                          & index(ldr,host(X7)) = host(X7)
                          & index(status,host(X7)) = norm ) ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]),c_0_7]) ).

fof(c_0_9,plain,
    ! [X5,X6,X12] :
      ( epred1_3(X12,X6,X5)
     => ( ! [X7,X14] :
            ( elem(m_Ldr(X14),queue(host(X7)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7,X14] :
            ( elem(m_Down(X14),queue(host(X7)))
           => host(X14) != host(X7) )
        & ! [X7,X14] :
            ( ( X14 != X7
              & host(X14) = host(X7) )
           => ( ~ setIn(X7,alive)
              | ~ setIn(X14,alive) ) )
        & ! [X7] :
            ( ( ( index(status,host(X7)) = elec_1
                | index(status,host(X7)) = elec_2 )
              & setIn(X7,alive) )
           => index(elid,host(X7)) = X7 )
        & ! [X7,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & setIn(host(X14),index(down,host(X7)))
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X14] :
            ( ( setIn(X14,alive)
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X14) )
           => ~ ( setIn(X7,alive)
                & setIn(host(X14),index(down,host(X7))) ) )
        & ! [X7,X15,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & elem(m_Down(X15),queue(host(X7)))
              & host(X14) = host(X15)
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X15,X14] :
            ( ( setIn(X14,alive)
              & host(X15) = host(X14)
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X14) )
           => ~ ( setIn(X7,alive)
                & elem(m_Down(X15),queue(host(X7))) ) )
        & ! [X7,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & index(ldr,host(X7)) = host(X7)
              & index(status,host(X7)) = norm
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X14) )
           => X14 = X7 )
        & ! [X7,X15,X14] :
            ( ( ~ leq(host(X15),host(X14))
              & setIn(X14,alive)
              & elem(m_Down(X15),queue(host(X14)))
              & host(X15) = host(X7) )
           => ~ ( setIn(X7,alive)
                & index(ldr,host(X7)) = host(X7)
                & index(status,host(X7)) = norm ) )
        & ! [X7,X16,X15,X14] :
            ( ( host(X15) != host(X7)
              & setIn(X7,alive)
              & setIn(X15,alive)
              & host(X16) = host(X7)
              & host(X14) = host(X15) )
           => ~ ( elem(m_Down(X14),queue(host(X7)))
                & elem(m_Down(X16),queue(host(X15))) ) )
        & ! [X7,X16,X15,X14] :
            ( ( host(X15) != host(X7)
              & setIn(X7,alive)
              & setIn(X15,alive)
              & host(X16) = host(X7)
              & host(X14) = host(X15) )
           => ~ ( elem(m_Down(X14),queue(host(X7)))
                & setIn(host(X16),index(down,host(X15))) ) )
        & ! [X7,X15,X14] :
            ( ( host(X14) != host(X15)
              & setIn(X14,alive)
              & elem(m_Down(X7),queue(host(X14)))
              & host(X15) = host(X7)
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X15) )
           => ~ ( setIn(X15,alive)
                & index(status,host(X15)) = norm
                & index(ldr,host(X15)) = host(X15) ) )
        & ! [X7,X15,X14] :
            ( ( host(X14) != host(X15)
              & setIn(X14,alive)
              & elem(m_Down(X7),queue(host(X14)))
              & host(X15) = host(X7)
              & index(status,host(X14)) = wait
              & host(index(elid,host(X14))) = host(X15) )
           => ~ ( setIn(X15,alive)
                & index(status,host(X15)) = norm
                & index(ldr,host(X15)) = host(X15) ) )
        & ! [X7,X16,X15,X14] :
            ( ( ! [X17] :
                  ( ( ~ leq(host(X14),X17)
                    & leq(s(zero),X17) )
                 => ( setIn(X17,index(down,host(X14)))
                    | X17 = host(X15) ) )
              & setIn(X7,alive)
              & leq(host(X7),host(X14))
              & elem(m_Down(X15),queue(host(X14)))
              & host(X16) = host(X14)
              & index(status,host(X7)) = elec_2
              & index(status,host(X14)) = elec_1 )
           => ~ elem(m_Ack(X7,X16),queue(host(X7))) )
        & ! [X7,X16,X15,X14] :
            ( ( ! [X17] :
                  ( ( ~ leq(host(X14),X17)
                    & leq(s(zero),X17) )
                 => ( setIn(X17,index(down,host(X14)))
                    | X17 = host(X15) ) )
              & setIn(X14,alive)
              & leq(nbr_proc,s(host(X14)))
              & elem(m_Down(X15),queue(host(X14)))
              & elem(m_Down(X16),queue(host(X14)))
              & host(X16) = s(host(X14))
              & index(status,host(X14)) = elec_1 )
           => ~ ( setIn(X7,alive)
                & index(ldr,host(X7)) = host(X7)
                & index(status,host(X7)) = norm ) )
        & queue(host(X5)) = cons(m_Down(X6),X12) ) ),
    inference(split_equiv,[status(thm)],[c_0_7]) ).

fof(c_0_10,negated_conjecture,
    ! [X333] :
      ( epred1_3(esk5_0,esk7_0,esk6_0)
      & setIn(esk6_0,alive)
      & ~ leq(host(esk6_0),host(esk7_0))
      & ( index(ldr,host(esk6_0)) != host(esk7_0)
        | index(status,host(esk6_0)) != norm )
      & ( index(status,host(esk6_0)) != wait
        | host(esk7_0) != host(index(elid,host(esk6_0))) )
      & ( ~ leq(host(esk6_0),esk8_0)
        | index(status,host(esk6_0)) != elec_1 )
      & ( leq(s(zero),esk8_0)
        | index(status,host(esk6_0)) != elec_1 )
      & ( ~ setIn(esk8_0,index(down,host(esk6_0)))
        | index(status,host(esk6_0)) != elec_1 )
      & ( esk8_0 != host(esk7_0)
        | index(status,host(esk6_0)) != elec_1 )
      & host(esk6_0) = host(esk12_0)
      & ( leq(host(esk12_0),X333)
        | ~ leq(s(zero),X333)
        | setIn(X333,index(down,host(esk6_0)))
        | X333 = host(esk7_0)
        | X333 = host(esk11_0) )
      & setIn(esk12_0,alive)
      & elem(m_Down(esk10_0),esk5_0)
      & elem(m_Down(esk11_0),esk5_0)
      & leq(nbr_proc,s(host(esk12_0)))
      & host(esk10_0) = s(host(esk12_0))
      & index(status,host(esk12_0)) = elec_1
      & setIn(esk9_0,alive)
      & index(ldr,host(esk9_0)) = host(esk9_0)
      & index(status,host(esk9_0)) = norm ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_8])])])])])]) ).

fof(c_0_11,plain,
    ! [X334,X335,X336,X337,X338,X339,X340,X341,X342,X343,X344,X345,X346,X347,X348,X349,X350,X351,X352,X353,X354,X355,X356,X357,X358,X359,X360,X361,X362,X363,X364,X365,X366,X367,X368,X369,X370,X371,X372,X373,X374,X375,X376,X378,X379,X380,X381] :
      ( ( ~ elem(m_Ldr(X338),queue(host(X337)))
        | ~ leq(host(X337),host(X338))
        | ~ epred1_3(X336,X335,X334) )
      & ( ~ elem(m_Down(X340),queue(host(X339)))
        | host(X340) != host(X339)
        | ~ epred1_3(X336,X335,X334) )
      & ( X342 = X341
        | host(X342) != host(X341)
        | ~ setIn(X341,alive)
        | ~ setIn(X342,alive)
        | ~ epred1_3(X336,X335,X334) )
      & ( index(status,host(X343)) != elec_1
        | ~ setIn(X343,alive)
        | index(elid,host(X343)) = X343
        | ~ epred1_3(X336,X335,X334) )
      & ( index(status,host(X343)) != elec_2
        | ~ setIn(X343,alive)
        | index(elid,host(X343)) = X343
        | ~ epred1_3(X336,X335,X334) )
      & ( ~ setIn(X344,alive)
        | ~ setIn(X345,alive)
        | ~ setIn(host(X345),index(down,host(X344)))
        | index(status,host(X345)) != elec_2
        | leq(index(pendack,host(X345)),host(X344))
        | ~ epred1_3(X336,X335,X334) )
      & ( ~ setIn(X347,alive)
        | index(status,host(X347)) != norm
        | index(ldr,host(X347)) != host(X347)
        | ~ setIn(X346,alive)
        | ~ setIn(host(X347),index(down,host(X346)))
        | ~ epred1_3(X336,X335,X334) )
      & ( ~ setIn(X348,alive)
        | ~ setIn(X350,alive)
        | ~ elem(m_Down(X349),queue(host(X348)))
        | host(X350) != host(X349)
        | index(status,host(X350)) != elec_2
        | leq(index(pendack,host(X350)),host(X348))
        | ~ epred1_3(X336,X335,X334) )
      & ( ~ setIn(X353,alive)
        | host(X352) != host(X353)
        | index(status,host(X353)) != norm
        | index(ldr,host(X353)) != host(X353)
        | ~ setIn(X351,alive)
        | ~ elem(m_Down(X352),queue(host(X351)))
        | ~ epred1_3(X336,X335,X334) )
      & ( ~ setIn(X354,alive)
        | ~ setIn(X355,alive)
        | index(ldr,host(X354)) != host(X354)
        | index(status,host(X354)) != norm
        | index(status,host(X355)) != norm
        | index(ldr,host(X355)) != host(X355)
        | X355 = X354
        | ~ epred1_3(X336,X335,X334) )
      & ( leq(host(X357),host(X358))
        | ~ setIn(X358,alive)
        | ~ elem(m_Down(X357),queue(host(X358)))
        | host(X357) != host(X356)
        | ~ setIn(X356,alive)
        | index(ldr,host(X356)) != host(X356)
        | index(status,host(X356)) != norm
        | ~ epred1_3(X336,X335,X334) )
      & ( host(X361) = host(X359)
        | ~ setIn(X359,alive)
        | ~ setIn(X361,alive)
        | host(X360) != host(X359)
        | host(X362) != host(X361)
        | ~ elem(m_Down(X362),queue(host(X359)))
        | ~ elem(m_Down(X360),queue(host(X361)))
        | ~ epred1_3(X336,X335,X334) )
      & ( host(X365) = host(X363)
        | ~ setIn(X363,alive)
        | ~ setIn(X365,alive)
        | host(X364) != host(X363)
        | host(X366) != host(X365)
        | ~ elem(m_Down(X366),queue(host(X363)))
        | ~ setIn(host(X364),index(down,host(X365)))
        | ~ epred1_3(X336,X335,X334) )
      & ( host(X369) = host(X368)
        | ~ setIn(X369,alive)
        | ~ elem(m_Down(X367),queue(host(X369)))
        | host(X368) != host(X367)
        | index(status,host(X369)) != norm
        | index(ldr,host(X369)) != host(X368)
        | ~ setIn(X368,alive)
        | index(status,host(X368)) != norm
        | index(ldr,host(X368)) != host(X368)
        | ~ epred1_3(X336,X335,X334) )
      & ( host(X372) = host(X371)
        | ~ setIn(X372,alive)
        | ~ elem(m_Down(X370),queue(host(X372)))
        | host(X371) != host(X370)
        | index(status,host(X372)) != wait
        | host(index(elid,host(X372))) != host(X371)
        | ~ setIn(X371,alive)
        | index(status,host(X371)) != norm
        | index(ldr,host(X371)) != host(X371)
        | ~ epred1_3(X336,X335,X334) )
      & ( ~ leq(host(X376),esk13_7(X334,X335,X336,X373,X374,X375,X376))
        | ~ setIn(X373,alive)
        | ~ leq(host(X373),host(X376))
        | ~ elem(m_Down(X375),queue(host(X376)))
        | host(X374) != host(X376)
        | index(status,host(X373)) != elec_2
        | index(status,host(X376)) != elec_1
        | ~ elem(m_Ack(X373,X374),queue(host(X373)))
        | ~ epred1_3(X336,X335,X334) )
      & ( leq(s(zero),esk13_7(X334,X335,X336,X373,X374,X375,X376))
        | ~ setIn(X373,alive)
        | ~ leq(host(X373),host(X376))
        | ~ elem(m_Down(X375),queue(host(X376)))
        | host(X374) != host(X376)
        | index(status,host(X373)) != elec_2
        | index(status,host(X376)) != elec_1
        | ~ elem(m_Ack(X373,X374),queue(host(X373)))
        | ~ epred1_3(X336,X335,X334) )
      & ( ~ setIn(esk13_7(X334,X335,X336,X373,X374,X375,X376),index(down,host(X376)))
        | ~ setIn(X373,alive)
        | ~ leq(host(X373),host(X376))
        | ~ elem(m_Down(X375),queue(host(X376)))
        | host(X374) != host(X376)
        | index(status,host(X373)) != elec_2
        | index(status,host(X376)) != elec_1
        | ~ elem(m_Ack(X373,X374),queue(host(X373)))
        | ~ epred1_3(X336,X335,X334) )
      & ( esk13_7(X334,X335,X336,X373,X374,X375,X376) != host(X375)
        | ~ setIn(X373,alive)
        | ~ leq(host(X373),host(X376))
        | ~ elem(m_Down(X375),queue(host(X376)))
        | host(X374) != host(X376)
        | index(status,host(X373)) != elec_2
        | index(status,host(X376)) != elec_1
        | ~ elem(m_Ack(X373,X374),queue(host(X373)))
        | ~ epred1_3(X336,X335,X334) )
      & ( ~ leq(host(X381),esk14_7(X334,X335,X336,X378,X379,X380,X381))
        | ~ setIn(X381,alive)
        | ~ leq(nbr_proc,s(host(X381)))
        | ~ elem(m_Down(X380),queue(host(X381)))
        | ~ elem(m_Down(X379),queue(host(X381)))
        | host(X379) != s(host(X381))
        | index(status,host(X381)) != elec_1
        | ~ setIn(X378,alive)
        | index(ldr,host(X378)) != host(X378)
        | index(status,host(X378)) != norm
        | ~ epred1_3(X336,X335,X334) )
      & ( leq(s(zero),esk14_7(X334,X335,X336,X378,X379,X380,X381))
        | ~ setIn(X381,alive)
        | ~ leq(nbr_proc,s(host(X381)))
        | ~ elem(m_Down(X380),queue(host(X381)))
        | ~ elem(m_Down(X379),queue(host(X381)))
        | host(X379) != s(host(X381))
        | index(status,host(X381)) != elec_1
        | ~ setIn(X378,alive)
        | index(ldr,host(X378)) != host(X378)
        | index(status,host(X378)) != norm
        | ~ epred1_3(X336,X335,X334) )
      & ( ~ setIn(esk14_7(X334,X335,X336,X378,X379,X380,X381),index(down,host(X381)))
        | ~ setIn(X381,alive)
        | ~ leq(nbr_proc,s(host(X381)))
        | ~ elem(m_Down(X380),queue(host(X381)))
        | ~ elem(m_Down(X379),queue(host(X381)))
        | host(X379) != s(host(X381))
        | index(status,host(X381)) != elec_1
        | ~ setIn(X378,alive)
        | index(ldr,host(X378)) != host(X378)
        | index(status,host(X378)) != norm
        | ~ epred1_3(X336,X335,X334) )
      & ( esk14_7(X334,X335,X336,X378,X379,X380,X381) != host(X380)
        | ~ setIn(X381,alive)
        | ~ leq(nbr_proc,s(host(X381)))
        | ~ elem(m_Down(X380),queue(host(X381)))
        | ~ elem(m_Down(X379),queue(host(X381)))
        | host(X379) != s(host(X381))
        | index(status,host(X381)) != elec_1
        | ~ setIn(X378,alive)
        | index(ldr,host(X378)) != host(X378)
        | index(status,host(X378)) != norm
        | ~ epred1_3(X336,X335,X334) )
      & ( queue(host(X334)) = cons(m_Down(X335),X336)
        | ~ epred1_3(X336,X335,X334) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).

cnf(c_0_12,negated_conjecture,
    index(status,host(esk12_0)) = elec_1,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    host(esk6_0) = host(esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,plain,
    ( ~ setIn(X1,alive)
    | index(status,host(X1)) != norm
    | index(ldr,host(X1)) != host(X1)
    | ~ setIn(X2,alive)
    | ~ setIn(host(X1),index(down,host(X2)))
    | ~ epred1_3(X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,negated_conjecture,
    setIn(esk6_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,negated_conjecture,
    ( ~ setIn(esk8_0,index(down,host(esk6_0)))
    | index(status,host(esk6_0)) != elec_1 ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_17,negated_conjecture,
    index(status,host(esk6_0)) = elec_1,
    inference(rw,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_18,negated_conjecture,
    ( leq(host(esk12_0),X1)
    | setIn(X1,index(down,host(esk6_0)))
    | X1 = host(esk7_0)
    | X1 = host(esk11_0)
    | ~ leq(s(zero),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_19,negated_conjecture,
    ( leq(s(zero),esk8_0)
    | index(status,host(esk6_0)) != elec_1 ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_20,negated_conjecture,
    ( esk8_0 != host(esk7_0)
    | index(status,host(esk6_0)) != elec_1 ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ leq(host(esk6_0),esk8_0)
    | index(status,host(esk6_0)) != elec_1 ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_22,negated_conjecture,
    host(esk10_0) = s(host(esk12_0)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_23,plain,
    ( queue(host(X1)) = cons(m_Down(X2),X3)
    | ~ epred1_3(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_24,negated_conjecture,
    epred1_3(esk5_0,esk7_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_25,negated_conjecture,
    ( index(ldr,host(X1)) != host(X1)
    | index(status,host(X1)) != norm
    | ~ epred1_3(X2,X3,X4)
    | ~ setIn(host(X1),index(down,host(esk6_0)))
    | ~ setIn(X1,alive) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_26,negated_conjecture,
    setIn(esk9_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_27,negated_conjecture,
    index(ldr,host(esk9_0)) = host(esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_28,negated_conjecture,
    index(status,host(esk9_0)) = norm,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_29,negated_conjecture,
    ~ setIn(esk8_0,index(down,host(esk6_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).

cnf(c_0_30,negated_conjecture,
    ( X1 = host(esk11_0)
    | X1 = host(esk7_0)
    | leq(host(esk6_0),X1)
    | setIn(X1,index(down,host(esk6_0)))
    | ~ leq(s(zero),X1) ),
    inference(rw,[status(thm)],[c_0_18,c_0_13]) ).

cnf(c_0_31,negated_conjecture,
    leq(s(zero),esk8_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_17])]) ).

cnf(c_0_32,negated_conjecture,
    host(esk7_0) != esk8_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_17])]) ).

cnf(c_0_33,negated_conjecture,
    ~ leq(host(esk6_0),esk8_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_17])]) ).

fof(c_0_34,plain,
    ! [X315,X316] :
      ( ( ~ leq(X315,X316)
        | ~ leq(X316,X315)
        | X315 = X316 )
      & ( leq(X315,X316)
        | X315 != X316 )
      & ( leq(X316,X315)
        | X315 != X316 ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])]) ).

cnf(c_0_35,negated_conjecture,
    leq(nbr_proc,s(host(esk12_0))),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_36,negated_conjecture,
    s(host(esk6_0)) = host(esk10_0),
    inference(rw,[status(thm)],[c_0_22,c_0_13]) ).

fof(c_0_37,plain,
    ! [X201] : leq(host(X201),nbr_proc),
    inference(variable_rename,[status(thm)],[axiom_04]) ).

cnf(c_0_38,plain,
    ( ~ setIn(X1,alive)
    | host(X2) != host(X1)
    | index(status,host(X1)) != norm
    | index(ldr,host(X1)) != host(X1)
    | ~ setIn(X3,alive)
    | ~ elem(m_Down(X2),queue(host(X3)))
    | ~ epred1_3(X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_39,negated_conjecture,
    queue(host(esk6_0)) = cons(m_Down(esk7_0),esk5_0),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ epred1_3(X1,X2,X3)
    | ~ setIn(host(esk9_0),index(down,host(esk6_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28])]) ).

cnf(c_0_41,negated_conjecture,
    host(esk11_0) = esk8_0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]),c_0_32]),c_0_33]) ).

fof(c_0_42,plain,
    ! [X200] : leq(s(zero),host(X200)),
    inference(variable_rename,[status(thm)],[axiom_02]) ).

cnf(c_0_43,plain,
    ( X1 = X2
    | ~ leq(X1,X2)
    | ~ leq(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_44,negated_conjecture,
    leq(nbr_proc,host(esk10_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_13]),c_0_36]) ).

cnf(c_0_45,plain,
    leq(host(X1),nbr_proc),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_46,negated_conjecture,
    ( index(ldr,host(X1)) != host(X1)
    | index(status,host(X1)) != norm
    | host(X1) != host(X2)
    | ~ epred1_3(X3,X4,X5)
    | ~ setIn(X1,alive)
    | ~ elem(m_Down(X2),cons(m_Down(esk7_0),esk5_0)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_15]),c_0_39]) ).

cnf(c_0_47,negated_conjecture,
    ~ setIn(host(esk9_0),index(down,host(esk6_0))),
    inference(spm,[status(thm)],[c_0_40,c_0_24]) ).

cnf(c_0_48,negated_conjecture,
    ( X1 = host(esk7_0)
    | X1 = esk8_0
    | leq(host(esk6_0),X1)
    | setIn(X1,index(down,host(esk6_0)))
    | ~ leq(s(zero),X1) ),
    inference(rw,[status(thm)],[c_0_30,c_0_41]) ).

cnf(c_0_49,plain,
    leq(s(zero),host(X1)),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

fof(c_0_50,plain,
    ! [X322,X323] :
      ( ( ~ leq(X322,s(X323))
        | X322 = s(X323)
        | leq(X322,X323) )
      & ( X322 != s(X323)
        | leq(X322,s(X323)) )
      & ( ~ leq(X322,X323)
        | leq(X322,s(X323)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_64])])]) ).

cnf(c_0_51,negated_conjecture,
    host(esk10_0) = nbr_proc,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).

cnf(c_0_52,negated_conjecture,
    ( host(esk9_0) != host(X1)
    | ~ epred1_3(X2,X3,X4)
    | ~ elem(m_Down(X1),cons(m_Down(esk7_0),esk5_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_26]),c_0_27]),c_0_28])]) ).

cnf(c_0_53,negated_conjecture,
    ( host(esk9_0) = host(esk7_0)
    | host(esk9_0) = esk8_0
    | leq(host(esk6_0),host(esk9_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]) ).

cnf(c_0_54,plain,
    ( X1 = s(X2)
    | leq(X1,X2)
    | ~ leq(X1,s(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_55,negated_conjecture,
    s(host(esk6_0)) = nbr_proc,
    inference(rw,[status(thm)],[c_0_36,c_0_51]) ).

cnf(c_0_56,negated_conjecture,
    ( host(esk9_0) != esk8_0
    | ~ epred1_3(X1,X2,X3)
    | ~ elem(m_Down(esk11_0),cons(m_Down(esk7_0),esk5_0)) ),
    inference(spm,[status(thm)],[c_0_52,c_0_41]) ).

fof(c_0_57,plain,
    ! [X276,X277,X278] :
      ( ( ~ elem(X276,cons(X277,X278))
        | X276 = X277
        | elem(X276,X278) )
      & ( X276 != X277
        | elem(X276,cons(X277,X278)) )
      & ( ~ elem(X276,X278)
        | elem(X276,cons(X277,X278)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_46])])]) ).

cnf(c_0_58,negated_conjecture,
    ( host(esk9_0) = host(esk7_0)
    | host(esk9_0) = host(esk6_0)
    | host(esk9_0) = esk8_0
    | ~ leq(host(esk9_0),host(esk6_0)) ),
    inference(spm,[status(thm)],[c_0_43,c_0_53]) ).

cnf(c_0_59,negated_conjecture,
    ( X1 = nbr_proc
    | leq(X1,host(esk6_0))
    | ~ leq(X1,nbr_proc) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_60,negated_conjecture,
    ( host(esk9_0) != esk8_0
    | ~ elem(m_Down(esk11_0),cons(m_Down(esk7_0),esk5_0)) ),
    inference(spm,[status(thm)],[c_0_56,c_0_24]) ).

cnf(c_0_61,plain,
    ( elem(X1,cons(X3,X2))
    | ~ elem(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_62,negated_conjecture,
    elem(m_Down(esk11_0),esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_63,negated_conjecture,
    ( host(esk9_0) != nbr_proc
    | ~ epred1_3(X1,X2,X3)
    | ~ elem(m_Down(esk10_0),cons(m_Down(esk7_0),esk5_0)) ),
    inference(spm,[status(thm)],[c_0_52,c_0_51]) ).

cnf(c_0_64,negated_conjecture,
    ( host(esk9_0) = host(esk6_0)
    | host(esk9_0) = host(esk7_0)
    | host(esk9_0) = nbr_proc
    | host(esk9_0) = esk8_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_45])]) ).

cnf(c_0_65,negated_conjecture,
    host(esk9_0) != esk8_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]) ).

cnf(c_0_66,negated_conjecture,
    ( host(esk9_0) != nbr_proc
    | ~ elem(m_Down(esk10_0),cons(m_Down(esk7_0),esk5_0)) ),
    inference(spm,[status(thm)],[c_0_63,c_0_24]) ).

cnf(c_0_67,negated_conjecture,
    elem(m_Down(esk10_0),esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_68,negated_conjecture,
    ( host(esk9_0) = host(esk7_0)
    | host(esk9_0) = host(esk6_0)
    | host(esk9_0) = nbr_proc ),
    inference(sr,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_69,negated_conjecture,
    host(esk9_0) != nbr_proc,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_61]),c_0_67])]) ).

cnf(c_0_70,negated_conjecture,
    ( host(esk9_0) = host(esk6_0)
    | host(esk9_0) = host(esk7_0) ),
    inference(sr,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_71,plain,
    ( elem(X1,cons(X2,X3))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_72,negated_conjecture,
    ( host(esk9_0) = host(esk6_0)
    | host(esk7_0) != host(X1)
    | ~ epred1_3(X2,X3,X4)
    | ~ elem(m_Down(X1),cons(m_Down(esk7_0),esk5_0)) ),
    inference(spm,[status(thm)],[c_0_52,c_0_70]) ).

cnf(c_0_73,plain,
    elem(X1,cons(X1,X2)),
    inference(er,[status(thm)],[c_0_71]) ).

cnf(c_0_74,negated_conjecture,
    ( host(esk9_0) = host(esk6_0)
    | ~ epred1_3(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_72]),c_0_73])]) ).

cnf(c_0_75,negated_conjecture,
    host(esk9_0) = host(esk6_0),
    inference(spm,[status(thm)],[c_0_74,c_0_24]) ).

cnf(c_0_76,plain,
    elec_1 != norm,
    inference(split_conjunct,[status(thm)],[axiom_07]) ).

cnf(c_0_77,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_75]),c_0_17]),c_0_76]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV481+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.33  % Computer : n007.cluster.edu
% 0.17/0.33  % Model    : x86_64 x86_64
% 0.17/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33  % Memory   : 8042.1875MB
% 0.17/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33  % CPULimit   : 300
% 0.17/0.33  % WCLimit    : 300
% 0.17/0.33  % DateTime   : Tue May  5 05:17:09 EDT 2026
% 0.17/0.33  % CPUTime    : 
% 0.17/0.34  % start to proof: theBenchmark
% 284.98/182.59  % Version  : CSE_E---1.7
% 284.98/182.59  % Problem  : theBenchmark.p
% 284.98/182.59  % SZS status Theorem for theBenchmark.p
% 284.98/182.59  % SZS output start CNFRefutation
% See solution above
% 286.51/184.03  % Total time : 134.049s
%------------------------------------------------------------------------------