TSTP Solution File: SWV478+1 by E---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.2.0
% Problem  : SWV478+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 : Mon Jun 24 16:52:35 EDT 2024

% Result   : Theorem 33.61s 4.73s
% Output   : CNFRefutation 33.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   82 (  43 unt;   0 def)
%            Number of atoms       :  724 ( 316 equ)
%            Maximal formula atoms :  179 (   8 avg)
%            Number of connectives :  958 ( 316   ~; 244   |; 314   &)
%                                         (   5 <=>;  79  =>;   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    :   32 (  32 usr;  21 con; 0-7 aty)
%            Number of variables   :  310 (  26 sgn 251   !;   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(status,host(X5)) = elec_2
              & host(X6) = index(pendack,host(X5)) )
           => ( leq(nbr_proc,index(pendack,host(X5)))
             => ! [X7] :
                  ( setIn(host(X7),index(acks,host(X5)))
                 => ! [X17] :
                      ( host(X5) = host(X17)
                     => ! [X18,X19,X20] :
                          ( host(X7) = host(X20)
                         => ( host(X5) != host(X20)
                           => ( ( ! [X21] :
                                    ( ( ~ leq(host(X20),X21)
                                      & leq(s(zero),X21) )
                                   => ( setIn(X21,index(down,host(X20)))
                                      | X21 = host(X19) ) )
                                & setIn(X20,alive)
                                & leq(nbr_proc,s(host(X20)))
                                & elem(m_Down(X18),snoc(queue(host(X20)),m_Ldr(X5)))
                                & elem(m_Down(X19),snoc(queue(host(X20)),m_Ldr(X5)))
                                & host(X18) = s(host(X20))
                                & index(status,host(X20)) = elec_1 )
                             => ~ ( setIn(X17,alive)
                                  & host(X5) = host(X17) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.TkF3hCgoC2/E---3.1_8330.p',conj) ).

fof(axiom_61,axiom,
    ! [X5,X6] :
      ( ( leq(X5,X6)
        & leq(X6,X5) )
    <=> X5 = X6 ),
    file('/export/starexec/sandbox/tmp/tmp.TkF3hCgoC2/E---3.1_8330.p',axiom_61) ).

fof(axiom_04,axiom,
    ! [X3] : leq(host(X3),nbr_proc),
    file('/export/starexec/sandbox/tmp/tmp.TkF3hCgoC2/E---3.1_8330.p',axiom_04) ).

fof(axiom_01,axiom,
    ! [X3,X4] :
      ( s(host(X3)) = host(X4)
     => host(X3) != host(X4) ),
    file('/export/starexec/sandbox/tmp/tmp.TkF3hCgoC2/E---3.1_8330.p',axiom_01) ).

fof(axiom_18,axiom,
    ! [X5,X6] : m_Down(X5) != m_Ldr(X6),
    file('/export/starexec/sandbox/tmp/tmp.TkF3hCgoC2/E---3.1_8330.p',axiom_18) ).

fof(axiom_64,axiom,
    ! [X5,X6] :
      ( leq(X5,s(X6))
    <=> ( X5 = s(X6)
        | leq(X5,X6) ) ),
    file('/export/starexec/sandbox/tmp/tmp.TkF3hCgoC2/E---3.1_8330.p',axiom_64) ).

fof(axiom_47,axiom,
    ! [X5,X6,X4] :
      ( elem(X5,snoc(X4,X6))
    <=> ( X5 = X6
        | elem(X5,X4) ) ),
    file('/export/starexec/sandbox/tmp/tmp.TkF3hCgoC2/E---3.1_8330.p',axiom_47) ).

fof(axiom_58,axiom,
    ! [X5] : ~ leq(s(X5),X5),
    file('/export/starexec/sandbox/tmp/tmp.TkF3hCgoC2/E---3.1_8330.p',axiom_58) ).

fof(axiom_46,axiom,
    ! [X5,X6,X4] :
      ( elem(X5,cons(X6,X4))
    <=> ( X5 = X6
        | elem(X5,X4) ) ),
    file('/export/starexec/sandbox/tmp/tmp.TkF3hCgoC2/E---3.1_8330.p',axiom_46) ).

fof(axiom_02,axiom,
    ! [X3] : leq(s(zero),host(X3)),
    file('/export/starexec/sandbox/tmp/tmp.TkF3hCgoC2/E---3.1_8330.p',axiom_02) ).

fof(c_0_10,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_11,negated_conjecture,
    ~ ! [X12,X13,X5,X6] :
        ( epred1_3(X12,X6,X5)
       => ( setIn(X5,alive)
         => ( leq(host(X5),host(X6))
           => ( ( index(status,host(X5)) = elec_2
                & host(X6) = index(pendack,host(X5)) )
             => ( leq(nbr_proc,index(pendack,host(X5)))
               => ! [X7] :
                    ( setIn(host(X7),index(acks,host(X5)))
                   => ! [X17] :
                        ( host(X5) = host(X17)
                       => ! [X18,X19,X20] :
                            ( host(X7) = host(X20)
                           => ( host(X5) != host(X20)
                             => ( ( ! [X21] :
                                      ( ( ~ leq(host(X20),X21)
                                        & leq(s(zero),X21) )
                                     => ( setIn(X21,index(down,host(X20)))
                                        | X21 = host(X19) ) )
                                  & setIn(X20,alive)
                                  & leq(nbr_proc,s(host(X20)))
                                  & elem(m_Down(X18),snoc(queue(host(X20)),m_Ldr(X5)))
                                  & elem(m_Down(X19),snoc(queue(host(X20)),m_Ldr(X5)))
                                  & host(X18) = s(host(X20))
                                  & index(status,host(X20)) = elec_1 )
                               => ~ ( setIn(X17,alive)
                                    & host(X5) = host(X17) ) ) ) ) ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]),c_0_10]) ).

fof(c_0_12,negated_conjecture,
    ! [X159] :
      ( epred1_3(esk5_0,esk7_0,esk6_0)
      & setIn(esk6_0,alive)
      & leq(host(esk6_0),host(esk7_0))
      & index(status,host(esk6_0)) = elec_2
      & host(esk7_0) = index(pendack,host(esk6_0))
      & leq(nbr_proc,index(pendack,host(esk6_0)))
      & setIn(host(esk8_0),index(acks,host(esk6_0)))
      & host(esk6_0) = host(esk9_0)
      & host(esk8_0) = host(esk12_0)
      & host(esk6_0) != host(esk12_0)
      & ( leq(host(esk12_0),X159)
        | ~ leq(s(zero),X159)
        | setIn(X159,index(down,host(esk12_0)))
        | X159 = host(esk11_0) )
      & setIn(esk12_0,alive)
      & leq(nbr_proc,s(host(esk12_0)))
      & elem(m_Down(esk10_0),snoc(queue(host(esk12_0)),m_Ldr(esk6_0)))
      & elem(m_Down(esk11_0),snoc(queue(host(esk12_0)),m_Ldr(esk6_0)))
      & host(esk10_0) = s(host(esk12_0))
      & index(status,host(esk12_0)) = elec_1
      & setIn(esk9_0,alive)
      & host(esk6_0) = host(esk9_0) ),
    inference(fof_nnf,[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_11])])])])])]) ).

fof(c_0_13,plain,
    ! [X141,X142] :
      ( ( ~ leq(X141,X142)
        | ~ leq(X142,X141)
        | X141 = X142 )
      & ( leq(X141,X142)
        | X141 != X142 )
      & ( leq(X142,X141)
        | X141 != X142 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])])]) ).

cnf(c_0_14,negated_conjecture,
    leq(nbr_proc,s(host(esk12_0))),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    host(esk10_0) = s(host(esk12_0)),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_16,plain,
    ! [X27] : leq(host(X27),nbr_proc),
    inference(variable_rename,[status(thm)],[axiom_04]) ).

fof(c_0_17,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_10]) ).

fof(c_0_18,plain,
    ! [X3,X4] :
      ( s(host(X3)) = host(X4)
     => host(X3) != host(X4) ),
    inference(fof_simplification,[status(thm)],[axiom_01]) ).

cnf(c_0_19,plain,
    ( X1 = X2
    | ~ leq(X1,X2)
    | ~ leq(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_20,negated_conjecture,
    leq(nbr_proc,host(esk10_0)),
    inference(rw,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_21,plain,
    leq(host(X1),nbr_proc),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_22,plain,
    ! [X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X204,X205,X206,X207] :
      ( ( ~ elem(m_Ldr(X164),queue(host(X163)))
        | ~ leq(host(X163),host(X164))
        | ~ epred1_3(X162,X161,X160) )
      & ( ~ elem(m_Down(X166),queue(host(X165)))
        | host(X166) != host(X165)
        | ~ epred1_3(X162,X161,X160) )
      & ( X168 = X167
        | host(X168) != host(X167)
        | ~ setIn(X167,alive)
        | ~ setIn(X168,alive)
        | ~ epred1_3(X162,X161,X160) )
      & ( index(status,host(X169)) != elec_1
        | ~ setIn(X169,alive)
        | index(elid,host(X169)) = X169
        | ~ epred1_3(X162,X161,X160) )
      & ( index(status,host(X169)) != elec_2
        | ~ setIn(X169,alive)
        | index(elid,host(X169)) = X169
        | ~ epred1_3(X162,X161,X160) )
      & ( ~ setIn(X170,alive)
        | ~ setIn(X171,alive)
        | ~ setIn(host(X171),index(down,host(X170)))
        | index(status,host(X171)) != elec_2
        | leq(index(pendack,host(X171)),host(X170))
        | ~ epred1_3(X162,X161,X160) )
      & ( ~ setIn(X173,alive)
        | index(status,host(X173)) != norm
        | index(ldr,host(X173)) != host(X173)
        | ~ setIn(X172,alive)
        | ~ setIn(host(X173),index(down,host(X172)))
        | ~ epred1_3(X162,X161,X160) )
      & ( ~ setIn(X174,alive)
        | ~ setIn(X176,alive)
        | ~ elem(m_Down(X175),queue(host(X174)))
        | host(X176) != host(X175)
        | index(status,host(X176)) != elec_2
        | leq(index(pendack,host(X176)),host(X174))
        | ~ epred1_3(X162,X161,X160) )
      & ( ~ setIn(X179,alive)
        | host(X178) != host(X179)
        | index(status,host(X179)) != norm
        | index(ldr,host(X179)) != host(X179)
        | ~ setIn(X177,alive)
        | ~ elem(m_Down(X178),queue(host(X177)))
        | ~ epred1_3(X162,X161,X160) )
      & ( ~ setIn(X180,alive)
        | ~ setIn(X181,alive)
        | index(ldr,host(X180)) != host(X180)
        | index(status,host(X180)) != norm
        | index(status,host(X181)) != norm
        | index(ldr,host(X181)) != host(X181)
        | X181 = X180
        | ~ epred1_3(X162,X161,X160) )
      & ( leq(host(X183),host(X184))
        | ~ setIn(X184,alive)
        | ~ elem(m_Down(X183),queue(host(X184)))
        | host(X183) != host(X182)
        | ~ setIn(X182,alive)
        | index(ldr,host(X182)) != host(X182)
        | index(status,host(X182)) != norm
        | ~ epred1_3(X162,X161,X160) )
      & ( host(X187) = host(X185)
        | ~ setIn(X185,alive)
        | ~ setIn(X187,alive)
        | host(X186) != host(X185)
        | host(X188) != host(X187)
        | ~ elem(m_Down(X188),queue(host(X185)))
        | ~ elem(m_Down(X186),queue(host(X187)))
        | ~ epred1_3(X162,X161,X160) )
      & ( host(X191) = host(X189)
        | ~ setIn(X189,alive)
        | ~ setIn(X191,alive)
        | host(X190) != host(X189)
        | host(X192) != host(X191)
        | ~ elem(m_Down(X192),queue(host(X189)))
        | ~ setIn(host(X190),index(down,host(X191)))
        | ~ epred1_3(X162,X161,X160) )
      & ( host(X195) = host(X194)
        | ~ setIn(X195,alive)
        | ~ elem(m_Down(X193),queue(host(X195)))
        | host(X194) != host(X193)
        | index(status,host(X195)) != norm
        | index(ldr,host(X195)) != host(X194)
        | ~ setIn(X194,alive)
        | index(status,host(X194)) != norm
        | index(ldr,host(X194)) != host(X194)
        | ~ epred1_3(X162,X161,X160) )
      & ( host(X198) = host(X197)
        | ~ setIn(X198,alive)
        | ~ elem(m_Down(X196),queue(host(X198)))
        | host(X197) != host(X196)
        | index(status,host(X198)) != wait
        | host(index(elid,host(X198))) != host(X197)
        | ~ setIn(X197,alive)
        | index(status,host(X197)) != norm
        | index(ldr,host(X197)) != host(X197)
        | ~ epred1_3(X162,X161,X160) )
      & ( ~ leq(host(X202),esk13_7(X160,X161,X162,X199,X200,X201,X202))
        | ~ setIn(X199,alive)
        | ~ leq(host(X199),host(X202))
        | ~ elem(m_Down(X201),queue(host(X202)))
        | host(X200) != host(X202)
        | index(status,host(X199)) != elec_2
        | index(status,host(X202)) != elec_1
        | ~ elem(m_Ack(X199,X200),queue(host(X199)))
        | ~ epred1_3(X162,X161,X160) )
      & ( leq(s(zero),esk13_7(X160,X161,X162,X199,X200,X201,X202))
        | ~ setIn(X199,alive)
        | ~ leq(host(X199),host(X202))
        | ~ elem(m_Down(X201),queue(host(X202)))
        | host(X200) != host(X202)
        | index(status,host(X199)) != elec_2
        | index(status,host(X202)) != elec_1
        | ~ elem(m_Ack(X199,X200),queue(host(X199)))
        | ~ epred1_3(X162,X161,X160) )
      & ( ~ setIn(esk13_7(X160,X161,X162,X199,X200,X201,X202),index(down,host(X202)))
        | ~ setIn(X199,alive)
        | ~ leq(host(X199),host(X202))
        | ~ elem(m_Down(X201),queue(host(X202)))
        | host(X200) != host(X202)
        | index(status,host(X199)) != elec_2
        | index(status,host(X202)) != elec_1
        | ~ elem(m_Ack(X199,X200),queue(host(X199)))
        | ~ epred1_3(X162,X161,X160) )
      & ( esk13_7(X160,X161,X162,X199,X200,X201,X202) != host(X201)
        | ~ setIn(X199,alive)
        | ~ leq(host(X199),host(X202))
        | ~ elem(m_Down(X201),queue(host(X202)))
        | host(X200) != host(X202)
        | index(status,host(X199)) != elec_2
        | index(status,host(X202)) != elec_1
        | ~ elem(m_Ack(X199,X200),queue(host(X199)))
        | ~ epred1_3(X162,X161,X160) )
      & ( ~ leq(host(X207),esk14_7(X160,X161,X162,X204,X205,X206,X207))
        | ~ setIn(X207,alive)
        | ~ leq(nbr_proc,s(host(X207)))
        | ~ elem(m_Down(X206),queue(host(X207)))
        | ~ elem(m_Down(X205),queue(host(X207)))
        | host(X205) != s(host(X207))
        | index(status,host(X207)) != elec_1
        | ~ setIn(X204,alive)
        | index(ldr,host(X204)) != host(X204)
        | index(status,host(X204)) != norm
        | ~ epred1_3(X162,X161,X160) )
      & ( leq(s(zero),esk14_7(X160,X161,X162,X204,X205,X206,X207))
        | ~ setIn(X207,alive)
        | ~ leq(nbr_proc,s(host(X207)))
        | ~ elem(m_Down(X206),queue(host(X207)))
        | ~ elem(m_Down(X205),queue(host(X207)))
        | host(X205) != s(host(X207))
        | index(status,host(X207)) != elec_1
        | ~ setIn(X204,alive)
        | index(ldr,host(X204)) != host(X204)
        | index(status,host(X204)) != norm
        | ~ epred1_3(X162,X161,X160) )
      & ( ~ setIn(esk14_7(X160,X161,X162,X204,X205,X206,X207),index(down,host(X207)))
        | ~ setIn(X207,alive)
        | ~ leq(nbr_proc,s(host(X207)))
        | ~ elem(m_Down(X206),queue(host(X207)))
        | ~ elem(m_Down(X205),queue(host(X207)))
        | host(X205) != s(host(X207))
        | index(status,host(X207)) != elec_1
        | ~ setIn(X204,alive)
        | index(ldr,host(X204)) != host(X204)
        | index(status,host(X204)) != norm
        | ~ epred1_3(X162,X161,X160) )
      & ( esk14_7(X160,X161,X162,X204,X205,X206,X207) != host(X206)
        | ~ setIn(X207,alive)
        | ~ leq(nbr_proc,s(host(X207)))
        | ~ elem(m_Down(X206),queue(host(X207)))
        | ~ elem(m_Down(X205),queue(host(X207)))
        | host(X205) != s(host(X207))
        | index(status,host(X207)) != elec_1
        | ~ setIn(X204,alive)
        | index(ldr,host(X204)) != host(X204)
        | index(status,host(X204)) != norm
        | ~ epred1_3(X162,X161,X160) )
      & ( queue(host(X160)) = cons(m_Down(X161),X162)
        | ~ epred1_3(X162,X161,X160) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])])]) ).

cnf(c_0_23,negated_conjecture,
    leq(nbr_proc,index(pendack,host(esk6_0))),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_24,negated_conjecture,
    host(esk7_0) = index(pendack,host(esk6_0)),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_25,plain,
    ! [X24,X25] :
      ( s(host(X24)) != host(X25)
      | host(X24) != host(X25) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).

fof(c_0_26,plain,
    ! [X5,X6] : m_Down(X5) != m_Ldr(X6),
    inference(fof_simplification,[status(thm)],[axiom_18]) ).

fof(c_0_27,plain,
    ! [X148,X149] :
      ( ( ~ leq(X148,s(X149))
        | X148 = s(X149)
        | leq(X148,X149) )
      & ( X148 != s(X149)
        | leq(X148,s(X149)) )
      & ( ~ leq(X148,X149)
        | leq(X148,s(X149)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_64])])])]) ).

cnf(c_0_28,negated_conjecture,
    host(esk10_0) = nbr_proc,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).

cnf(c_0_29,plain,
    ( leq(index(pendack,host(X2)),host(X1))
    | ~ setIn(X1,alive)
    | ~ setIn(X2,alive)
    | ~ setIn(host(X2),index(down,host(X1)))
    | index(status,host(X2)) != elec_2
    | ~ epred1_3(X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_30,negated_conjecture,
    epred1_3(esk5_0,esk7_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_31,negated_conjecture,
    leq(nbr_proc,host(esk7_0)),
    inference(rw,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_32,plain,
    ( s(host(X1)) != host(X2)
    | host(X1) != host(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_33,negated_conjecture,
    host(esk8_0) = host(esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_34,plain,
    ! [X105,X106,X107] :
      ( ( ~ elem(X105,snoc(X107,X106))
        | X105 = X106
        | elem(X105,X107) )
      & ( X105 != X106
        | elem(X105,snoc(X107,X106)) )
      & ( ~ elem(X105,X107)
        | elem(X105,snoc(X107,X106)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_47])])])]) ).

fof(c_0_35,plain,
    ! [X47,X48] : m_Down(X47) != m_Ldr(X48),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_26])]) ).

fof(c_0_36,plain,
    ! [X5] : ~ leq(s(X5),X5),
    inference(fof_simplification,[status(thm)],[axiom_58]) ).

cnf(c_0_37,plain,
    ( X1 = s(X2)
    | leq(X1,X2)
    | ~ leq(X1,s(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_38,negated_conjecture,
    s(host(esk12_0)) = nbr_proc,
    inference(rw,[status(thm)],[c_0_15,c_0_28]) ).

cnf(c_0_39,negated_conjecture,
    ( leq(index(pendack,host(X1)),host(X2))
    | index(status,host(X1)) != elec_2
    | ~ setIn(host(X1),index(down,host(X2)))
    | ~ setIn(X1,alive)
    | ~ setIn(X2,alive) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_40,negated_conjecture,
    host(esk7_0) = nbr_proc,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_31]),c_0_21])]) ).

cnf(c_0_41,negated_conjecture,
    ( host(esk10_0) != host(X1)
    | host(esk12_0) != host(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_15]) ).

cnf(c_0_42,plain,
    ( X1 = X3
    | elem(X1,X2)
    | ~ elem(X1,snoc(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_43,negated_conjecture,
    elem(m_Down(esk11_0),snoc(queue(host(esk12_0)),m_Ldr(esk6_0))),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_44,plain,
    m_Down(X1) != m_Ldr(X2),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

fof(c_0_45,plain,
    ! [X137] : ~ leq(s(X137),X137),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_36])]) ).

fof(c_0_46,plain,
    ! [X102,X103,X104] :
      ( ( ~ elem(X102,cons(X103,X104))
        | X102 = X103
        | elem(X102,X104) )
      & ( X102 != X103
        | elem(X102,cons(X103,X104)) )
      & ( ~ elem(X102,X104)
        | elem(X102,cons(X103,X104)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_46])])])]) ).

cnf(c_0_47,negated_conjecture,
    ( X1 = nbr_proc
    | leq(X1,host(esk12_0))
    | ~ leq(X1,nbr_proc) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_48,negated_conjecture,
    ( host(X1) = index(pendack,host(X2))
    | index(status,host(X2)) != elec_2
    | ~ leq(host(X1),index(pendack,host(X2)))
    | ~ setIn(host(X2),index(down,host(X1)))
    | ~ setIn(X2,alive)
    | ~ setIn(X1,alive) ),
    inference(spm,[status(thm)],[c_0_19,c_0_39]) ).

cnf(c_0_49,negated_conjecture,
    index(pendack,host(esk6_0)) = nbr_proc,
    inference(rw,[status(thm)],[c_0_24,c_0_40]) ).

cnf(c_0_50,negated_conjecture,
    index(status,host(esk6_0)) = elec_2,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_51,negated_conjecture,
    setIn(esk6_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_52,plain,
    ! [X26] : leq(s(zero),host(X26)),
    inference(variable_rename,[status(thm)],[axiom_02]) ).

cnf(c_0_53,negated_conjecture,
    host(esk10_0) != host(esk12_0),
    inference(er,[status(thm)],[c_0_41]) ).

cnf(c_0_54,plain,
    ( leq(index(pendack,host(X2)),host(X1))
    | ~ setIn(X1,alive)
    | ~ setIn(X2,alive)
    | ~ elem(m_Down(X3),queue(host(X1)))
    | host(X2) != host(X3)
    | index(status,host(X2)) != elec_2
    | ~ epred1_3(X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_55,negated_conjecture,
    elem(m_Down(esk11_0),queue(host(esk12_0))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).

cnf(c_0_56,negated_conjecture,
    setIn(esk12_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_57,plain,
    ~ leq(s(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_58,plain,
    ( elem(X1,cons(X2,X3))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_59,plain,
    ( queue(host(X1)) = cons(m_Down(X2),X3)
    | ~ epred1_3(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_60,negated_conjecture,
    ( host(X1) = nbr_proc
    | leq(host(X1),host(esk12_0)) ),
    inference(spm,[status(thm)],[c_0_47,c_0_21]) ).

cnf(c_0_61,negated_conjecture,
    ( host(X1) = nbr_proc
    | ~ setIn(host(esk6_0),index(down,host(X1)))
    | ~ setIn(X1,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_21]),c_0_51])]) ).

cnf(c_0_62,negated_conjecture,
    ( leq(host(esk12_0),X1)
    | setIn(X1,index(down,host(esk12_0)))
    | X1 = host(esk11_0)
    | ~ leq(s(zero),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_63,plain,
    leq(s(zero),host(X1)),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_64,negated_conjecture,
    nbr_proc != host(esk12_0),
    inference(rw,[status(thm)],[c_0_53,c_0_28]) ).

cnf(c_0_65,negated_conjecture,
    ( leq(index(pendack,host(X1)),host(esk12_0))
    | index(status,host(X1)) != elec_2
    | host(X1) != host(esk11_0)
    | ~ epred1_3(X2,X3,X4)
    | ~ setIn(X1,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]) ).

cnf(c_0_66,negated_conjecture,
    ~ leq(host(esk10_0),host(esk12_0)),
    inference(spm,[status(thm)],[c_0_57,c_0_15]) ).

cnf(c_0_67,plain,
    elem(X1,cons(X1,X2)),
    inference(er,[status(thm)],[c_0_58]) ).

cnf(c_0_68,negated_conjecture,
    cons(m_Down(esk7_0),esk5_0) = queue(host(esk6_0)),
    inference(spm,[status(thm)],[c_0_59,c_0_30]) ).

cnf(c_0_69,negated_conjecture,
    ( host(esk12_0) = host(X1)
    | host(X1) = nbr_proc
    | ~ leq(host(esk12_0),host(X1)) ),
    inference(spm,[status(thm)],[c_0_19,c_0_60]) ).

cnf(c_0_70,negated_conjecture,
    ( host(esk11_0) = host(esk6_0)
    | leq(host(esk12_0),host(esk6_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_56]),c_0_63])]),c_0_64]) ).

cnf(c_0_71,negated_conjecture,
    host(esk6_0) != host(esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_72,negated_conjecture,
    ( leq(index(pendack,host(X1)),host(esk12_0))
    | index(status,host(X1)) != elec_2
    | host(X1) != host(esk11_0)
    | ~ setIn(X1,alive) ),
    inference(spm,[status(thm)],[c_0_65,c_0_30]) ).

cnf(c_0_73,negated_conjecture,
    ~ leq(nbr_proc,host(esk12_0)),
    inference(rw,[status(thm)],[c_0_66,c_0_28]) ).

cnf(c_0_74,plain,
    ( ~ elem(m_Down(X1),queue(host(X2)))
    | host(X1) != host(X2)
    | ~ epred1_3(X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_75,negated_conjecture,
    elem(m_Down(esk7_0),queue(host(esk6_0))),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_76,negated_conjecture,
    ( host(esk11_0) = host(esk6_0)
    | nbr_proc = host(esk6_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).

cnf(c_0_77,negated_conjecture,
    host(esk11_0) != host(esk6_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_49]),c_0_50]),c_0_51])]),c_0_73]) ).

cnf(c_0_78,plain,
    ( nbr_proc != host(esk6_0)
    | ~ epred1_3(X1,X2,X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_40]) ).

cnf(c_0_79,negated_conjecture,
    nbr_proc = host(esk6_0),
    inference(sr,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_80,plain,
    ~ epred1_3(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_79])]) ).

cnf(c_0_81,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_30,c_0_80]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWV478+1 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.12  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Thu Jun 20 20:54:23 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.19/0.48  Running first-order theorem proving
% 0.19/0.48  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.TkF3hCgoC2/E---3.1_8330.p
% 33.61/4.73  # Version: 3.2.0
% 33.61/4.73  # Preprocessing class: FSLSSMSMSSSNFFN.
% 33.61/4.73  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 33.61/4.73  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 33.61/4.73  # Starting new_bool_3 with 300s (1) cores
% 33.61/4.73  # Starting new_bool_1 with 300s (1) cores
% 33.61/4.73  # Starting sh5l with 300s (1) cores
% 33.61/4.73  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 8408 completed with status 0
% 33.61/4.73  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 33.61/4.73  # Preprocessing class: FSLSSMSMSSSNFFN.
% 33.61/4.73  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 33.61/4.73  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 33.61/4.73  # No SInE strategy applied
% 33.61/4.73  # Search class: FGHSM-FFLM31-MFFFFFNN
% 33.61/4.73  # Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 33.61/4.73  # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 541s (1) cores
% 33.61/4.73  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 33.61/4.73  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 136s (1) cores
% 33.61/4.73  # Starting G-E--_200_B07_F1_AE_CS_SP_PI_S0Y with 136s (1) cores
% 33.61/4.73  # Starting U----_213g_00_B10_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 33.61/4.73  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 8415 completed with status 0
% 33.61/4.73  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 33.61/4.73  # Preprocessing class: FSLSSMSMSSSNFFN.
% 33.61/4.73  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 33.61/4.73  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 33.61/4.73  # No SInE strategy applied
% 33.61/4.73  # Search class: FGHSM-FFLM31-MFFFFFNN
% 33.61/4.73  # Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 33.61/4.73  # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 541s (1) cores
% 33.61/4.73  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 33.61/4.73  # Preprocessing time       : 0.003 s
% 33.61/4.73  # Presaturation interreduction done
% 33.61/4.73  
% 33.61/4.73  # Proof found!
% 33.61/4.73  # SZS status Theorem
% 33.61/4.73  # SZS output start CNFRefutation
% See solution above
% 33.61/4.73  # Parsed axioms                        : 67
% 33.61/4.73  # Removed by relevancy pruning/SinE    : 0
% 33.61/4.73  # Initial clauses                      : 139
% 33.61/4.73  # Removed in clause preprocessing      : 6
% 33.61/4.73  # Initial clauses in saturation        : 133
% 33.61/4.73  # Processed clauses                    : 20206
% 33.61/4.73  # ...of these trivial                  : 201
% 33.61/4.73  # ...subsumed                          : 16989
% 33.61/4.73  # ...remaining for further processing  : 3016
% 33.61/4.73  # Other redundant clauses eliminated   : 45
% 33.61/4.73  # Clauses deleted for lack of memory   : 0
% 33.61/4.73  # Backward-subsumed                    : 388
% 33.61/4.73  # Backward-rewritten                   : 839
% 33.61/4.73  # Generated clauses                    : 458362
% 33.61/4.73  # ...of the previous two non-redundant : 278957
% 33.61/4.73  # ...aggressively subsumed             : 0
% 33.61/4.73  # Contextual simplify-reflections      : 20
% 33.61/4.73  # Paramodulations                      : 458176
% 33.61/4.73  # Factorizations                       : 112
% 33.61/4.73  # NegExts                              : 0
% 33.61/4.73  # Equation resolutions                 : 53
% 33.61/4.73  # Disequality decompositions           : 0
% 33.61/4.73  # Total rewrite steps                  : 246223
% 33.61/4.73  # ...of those cached                   : 245445
% 33.61/4.73  # Propositional unsat checks           : 0
% 33.61/4.73  #    Propositional check models        : 0
% 33.61/4.73  #    Propositional check unsatisfiable : 0
% 33.61/4.73  #    Propositional clauses             : 0
% 33.61/4.73  #    Propositional clauses after purity: 0
% 33.61/4.73  #    Propositional unsat core size     : 0
% 33.61/4.73  #    Propositional preprocessing time  : 0.000
% 33.61/4.73  #    Propositional encoding time       : 0.000
% 33.61/4.73  #    Propositional solver time         : 0.000
% 33.61/4.73  #    Success case prop preproc time    : 0.000
% 33.61/4.73  #    Success case prop encoding time   : 0.000
% 33.61/4.73  #    Success case prop solver time     : 0.000
% 33.61/4.73  # Current number of processed clauses  : 1636
% 33.61/4.73  #    Positive orientable unit clauses  : 128
% 33.61/4.73  #    Positive unorientable unit clauses: 0
% 33.61/4.73  #    Negative unit clauses             : 123
% 33.61/4.73  #    Non-unit-clauses                  : 1385
% 33.61/4.73  # Current number of unprocessed clauses: 258432
% 33.61/4.73  # ...number of literals in the above   : 998858
% 33.61/4.73  # Current number of archived formulas  : 0
% 33.61/4.73  # Current number of archived clauses   : 1373
% 33.61/4.73  # Clause-clause subsumption calls (NU) : 2431036
% 33.61/4.73  # Rec. Clause-clause subsumption calls : 1346490
% 33.61/4.73  # Non-unit clause-clause subsumptions  : 8731
% 33.61/4.73  # Unit Clause-clause subsumption calls : 50854
% 33.61/4.73  # Rewrite failures with RHS unbound    : 0
% 33.61/4.73  # BW rewrite match attempts            : 1313
% 33.61/4.73  # BW rewrite match successes           : 26
% 33.61/4.73  # Condensation attempts                : 0
% 33.61/4.73  # Condensation successes               : 0
% 33.61/4.73  # Termbank termtop insertions          : 7152152
% 33.61/4.73  # Search garbage collected termcells   : 2419
% 33.61/4.73  
% 33.61/4.73  # -------------------------------------------------
% 33.61/4.73  # User time                : 4.019 s
% 33.61/4.73  # System time              : 0.127 s
% 33.61/4.73  # Total time               : 4.146 s
% 33.61/4.73  # Maximum resident set size: 2388 pages
% 33.61/4.73  
% 33.61/4.73  # -------------------------------------------------
% 33.61/4.73  # User time                : 20.107 s
% 33.61/4.73  # System time              : 0.528 s
% 33.61/4.73  # Total time               : 20.635 s
% 33.61/4.73  # Maximum resident set size: 1796 pages
% 33.61/4.73  % E---3.1 exiting
% 33.61/4.73  % E exiting
%------------------------------------------------------------------------------