TSTP Solution File: SWV478+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWV478+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n010.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  : 600s
% DateTime : Wed Jul 20 18:16:56 EDT 2022

% Result   : Theorem 0.53s 46.70s
% Output   : CNFRefutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  113 (  53 unt;   0 def)
%            Number of atoms       :  794 ( 318 equ)
%            Maximal formula atoms :  179 (   7 avg)
%            Number of connectives : 1037 ( 356   ~; 275   |; 315   &)
%                                         (  14 <=>;  77  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   82 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   14 (  12 usr;   9 prp; 0-3 aty)
%            Number of functors    :   32 (  32 usr;  21 con; 0-7 aty)
%            Number of variables   :  356 (  44 sgn 278   !;   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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj) ).

fof(axiom_47,axiom,
    ! [X5,X6,X4] :
      ( elem(X5,snoc(X4,X6))
    <=> ( X5 = X6
        | elem(X5,X4) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_47) ).

fof(axiom_18,axiom,
    ! [X5,X6] : m_Down(X5) != m_Ldr(X6),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_18) ).

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

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

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

fof(axiom_58,axiom,
    ! [X5] : ~ leq(s(X5),X5),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_58) ).

fof(axiom_63,axiom,
    ! [X5,X6] :
      ( leq(X5,X6)
    <=> leq(s(X5),s(X6)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_63) ).

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

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

fof(c_0_10,plain,
    ! [X12,X6,X5] :
      ( epred1_3(X5,X6,X12)
    <=> ( ! [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(X5,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) ) ) ) ) ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[conj]),c_0_10]) ).

fof(c_0_12,negated_conjecture,
    ! [X31] :
      ( epred1_3(esk6_0,esk7_0,esk5_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),X31)
        | ~ leq(s(zero),X31)
        | setIn(X31,index(down,host(esk12_0)))
        | X31 = 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(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_11])])])])])])]) ).

fof(c_0_13,plain,
    ( ~ epred8_0
  <=> ! [X4] :
        ( index(elid,host(X4)) = X4
        | ~ setIn(X4,alive)
        | index(status,host(X4)) != elec_2 ) ),
    introduced(definition) ).

cnf(c_0_14,negated_conjecture,
    index(status,host(esk6_0)) = elec_2,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    host(esk6_0) = host(esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_16,plain,
    ! [X12,X6,X5] :
      ( epred1_3(X5,X6,X12)
     => ( ! [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]) ).

cnf(c_0_17,plain,
    ( index(elid,host(X1)) = X1
    | epred8_0
    | index(status,host(X1)) != elec_2
    | ~ setIn(X1,alive) ),
    inference(split_equiv,[status(thm)],[c_0_13]) ).

cnf(c_0_18,negated_conjecture,
    index(status,host(esk9_0)) = elec_2,
    inference(rw,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_19,negated_conjecture,
    setIn(esk6_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_20,plain,
    ! [X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X63,X64,X65,X62] :
      ( ( ~ elem(m_Ldr(X22),queue(host(X21)))
        | ~ leq(host(X21),host(X22))
        | ~ epred1_3(X20,X19,X18) )
      & ( ~ elem(m_Down(X24),queue(host(X23)))
        | host(X24) != host(X23)
        | ~ epred1_3(X20,X19,X18) )
      & ( X26 = X25
        | host(X26) != host(X25)
        | ~ setIn(X25,alive)
        | ~ setIn(X26,alive)
        | ~ epred1_3(X20,X19,X18) )
      & ( index(status,host(X27)) != elec_1
        | ~ setIn(X27,alive)
        | index(elid,host(X27)) = X27
        | ~ epred1_3(X20,X19,X18) )
      & ( index(status,host(X27)) != elec_2
        | ~ setIn(X27,alive)
        | index(elid,host(X27)) = X27
        | ~ epred1_3(X20,X19,X18) )
      & ( ~ setIn(X28,alive)
        | ~ setIn(X29,alive)
        | ~ setIn(host(X29),index(down,host(X28)))
        | index(status,host(X29)) != elec_2
        | leq(index(pendack,host(X29)),host(X28))
        | ~ epred1_3(X20,X19,X18) )
      & ( ~ setIn(X31,alive)
        | index(status,host(X31)) != norm
        | index(ldr,host(X31)) != host(X31)
        | ~ setIn(X30,alive)
        | ~ setIn(host(X31),index(down,host(X30)))
        | ~ epred1_3(X20,X19,X18) )
      & ( ~ setIn(X32,alive)
        | ~ setIn(X34,alive)
        | ~ elem(m_Down(X33),queue(host(X32)))
        | host(X34) != host(X33)
        | index(status,host(X34)) != elec_2
        | leq(index(pendack,host(X34)),host(X32))
        | ~ epred1_3(X20,X19,X18) )
      & ( ~ setIn(X37,alive)
        | host(X36) != host(X37)
        | index(status,host(X37)) != norm
        | index(ldr,host(X37)) != host(X37)
        | ~ setIn(X35,alive)
        | ~ elem(m_Down(X36),queue(host(X35)))
        | ~ epred1_3(X20,X19,X18) )
      & ( ~ setIn(X38,alive)
        | ~ setIn(X39,alive)
        | index(ldr,host(X38)) != host(X38)
        | index(status,host(X38)) != norm
        | index(status,host(X39)) != norm
        | index(ldr,host(X39)) != host(X39)
        | X39 = X38
        | ~ epred1_3(X20,X19,X18) )
      & ( leq(host(X41),host(X42))
        | ~ setIn(X42,alive)
        | ~ elem(m_Down(X41),queue(host(X42)))
        | host(X41) != host(X40)
        | ~ setIn(X40,alive)
        | index(ldr,host(X40)) != host(X40)
        | index(status,host(X40)) != norm
        | ~ epred1_3(X20,X19,X18) )
      & ( host(X45) = host(X43)
        | ~ setIn(X43,alive)
        | ~ setIn(X45,alive)
        | host(X44) != host(X43)
        | host(X46) != host(X45)
        | ~ elem(m_Down(X46),queue(host(X43)))
        | ~ elem(m_Down(X44),queue(host(X45)))
        | ~ epred1_3(X20,X19,X18) )
      & ( host(X49) = host(X47)
        | ~ setIn(X47,alive)
        | ~ setIn(X49,alive)
        | host(X48) != host(X47)
        | host(X50) != host(X49)
        | ~ elem(m_Down(X50),queue(host(X47)))
        | ~ setIn(host(X48),index(down,host(X49)))
        | ~ epred1_3(X20,X19,X18) )
      & ( host(X53) = host(X52)
        | ~ setIn(X53,alive)
        | ~ elem(m_Down(X51),queue(host(X53)))
        | host(X52) != host(X51)
        | index(status,host(X53)) != norm
        | index(ldr,host(X53)) != host(X52)
        | ~ setIn(X52,alive)
        | index(status,host(X52)) != norm
        | index(ldr,host(X52)) != host(X52)
        | ~ epred1_3(X20,X19,X18) )
      & ( host(X56) = host(X55)
        | ~ setIn(X56,alive)
        | ~ elem(m_Down(X54),queue(host(X56)))
        | host(X55) != host(X54)
        | index(status,host(X56)) != wait
        | host(index(elid,host(X56))) != host(X55)
        | ~ setIn(X55,alive)
        | index(status,host(X55)) != norm
        | index(ldr,host(X55)) != host(X55)
        | ~ epred1_3(X20,X19,X18) )
      & ( ~ leq(host(X60),esk13_7(X18,X19,X20,X57,X58,X59,X60))
        | ~ setIn(X57,alive)
        | ~ leq(host(X57),host(X60))
        | ~ elem(m_Down(X59),queue(host(X60)))
        | host(X58) != host(X60)
        | index(status,host(X57)) != elec_2
        | index(status,host(X60)) != elec_1
        | ~ elem(m_Ack(X57,X58),queue(host(X57)))
        | ~ epred1_3(X20,X19,X18) )
      & ( leq(s(zero),esk13_7(X18,X19,X20,X57,X58,X59,X60))
        | ~ setIn(X57,alive)
        | ~ leq(host(X57),host(X60))
        | ~ elem(m_Down(X59),queue(host(X60)))
        | host(X58) != host(X60)
        | index(status,host(X57)) != elec_2
        | index(status,host(X60)) != elec_1
        | ~ elem(m_Ack(X57,X58),queue(host(X57)))
        | ~ epred1_3(X20,X19,X18) )
      & ( ~ setIn(esk13_7(X18,X19,X20,X57,X58,X59,X60),index(down,host(X60)))
        | ~ setIn(X57,alive)
        | ~ leq(host(X57),host(X60))
        | ~ elem(m_Down(X59),queue(host(X60)))
        | host(X58) != host(X60)
        | index(status,host(X57)) != elec_2
        | index(status,host(X60)) != elec_1
        | ~ elem(m_Ack(X57,X58),queue(host(X57)))
        | ~ epred1_3(X20,X19,X18) )
      & ( esk13_7(X18,X19,X20,X57,X58,X59,X60) != host(X59)
        | ~ setIn(X57,alive)
        | ~ leq(host(X57),host(X60))
        | ~ elem(m_Down(X59),queue(host(X60)))
        | host(X58) != host(X60)
        | index(status,host(X57)) != elec_2
        | index(status,host(X60)) != elec_1
        | ~ elem(m_Ack(X57,X58),queue(host(X57)))
        | ~ epred1_3(X20,X19,X18) )
      & ( ~ leq(host(X65),esk14_6(X18,X19,X20,X63,X64,X65))
        | ~ setIn(X65,alive)
        | ~ leq(nbr_proc,s(host(X65)))
        | ~ elem(m_Down(X64),queue(host(X65)))
        | ~ elem(m_Down(X63),queue(host(X65)))
        | host(X63) != s(host(X65))
        | index(status,host(X65)) != elec_1
        | ~ setIn(X62,alive)
        | index(ldr,host(X62)) != host(X62)
        | index(status,host(X62)) != norm
        | ~ epred1_3(X20,X19,X18) )
      & ( leq(s(zero),esk14_6(X18,X19,X20,X63,X64,X65))
        | ~ setIn(X65,alive)
        | ~ leq(nbr_proc,s(host(X65)))
        | ~ elem(m_Down(X64),queue(host(X65)))
        | ~ elem(m_Down(X63),queue(host(X65)))
        | host(X63) != s(host(X65))
        | index(status,host(X65)) != elec_1
        | ~ setIn(X62,alive)
        | index(ldr,host(X62)) != host(X62)
        | index(status,host(X62)) != norm
        | ~ epred1_3(X20,X19,X18) )
      & ( ~ setIn(esk14_6(X18,X19,X20,X63,X64,X65),index(down,host(X65)))
        | ~ setIn(X65,alive)
        | ~ leq(nbr_proc,s(host(X65)))
        | ~ elem(m_Down(X64),queue(host(X65)))
        | ~ elem(m_Down(X63),queue(host(X65)))
        | host(X63) != s(host(X65))
        | index(status,host(X65)) != elec_1
        | ~ setIn(X62,alive)
        | index(ldr,host(X62)) != host(X62)
        | index(status,host(X62)) != norm
        | ~ epred1_3(X20,X19,X18) )
      & ( esk14_6(X18,X19,X20,X63,X64,X65) != host(X64)
        | ~ setIn(X65,alive)
        | ~ leq(nbr_proc,s(host(X65)))
        | ~ elem(m_Down(X64),queue(host(X65)))
        | ~ elem(m_Down(X63),queue(host(X65)))
        | host(X63) != s(host(X65))
        | index(status,host(X65)) != elec_1
        | ~ setIn(X62,alive)
        | index(ldr,host(X62)) != host(X62)
        | index(status,host(X62)) != norm
        | ~ epred1_3(X20,X19,X18) )
      & ( queue(host(X20)) = cons(m_Down(X19),X18)
        | ~ epred1_3(X20,X19,X18) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_16])])])])])])])]) ).

fof(c_0_21,plain,
    ( ~ epred9_0
  <=> ! [X3,X2,X1] : ~ epred1_3(X1,X2,X3) ),
    introduced(definition) ).

cnf(c_0_22,negated_conjecture,
    ( index(elid,host(esk9_0)) = esk6_0
    | epred8_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_17,c_0_15]),c_0_15]),c_0_18]),c_0_19])]) ).

cnf(c_0_23,negated_conjecture,
    setIn(esk9_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_24,plain,
    ( index(elid,host(X4)) = X4
    | ~ epred1_3(X1,X2,X3)
    | ~ setIn(X4,alive)
    | index(status,host(X4)) != elec_2 ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_25,plain,
    ( epred9_0
    | ~ epred1_3(X1,X2,X3) ),
    inference(split_equiv,[status(thm)],[c_0_21]) ).

cnf(c_0_26,negated_conjecture,
    epred1_3(esk6_0,esk7_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_27,plain,
    ( esk6_0 = esk9_0
    | epred8_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_17,c_0_22]),c_0_18]),c_0_23])]) ).

cnf(c_0_28,plain,
    ( ~ epred9_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_24,c_0_13]),c_0_21]) ).

cnf(c_0_29,negated_conjecture,
    epred9_0,
    inference(pm,[status(thm)],[c_0_25,c_0_26]) ).

fof(c_0_30,plain,
    ( ~ epred15_0
  <=> ! [X3,X2,X1] : ~ epred1_3(X1,X2,X3) ),
    introduced(definition) ).

cnf(c_0_31,negated_conjecture,
    ( epred8_0
    | epred1_3(esk9_0,esk7_0,esk5_0) ),
    inference(pm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_32,plain,
    ~ epred8_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29])]) ).

fof(c_0_33,plain,
    ( ~ epred3_0
  <=> ! [X3,X2,X1] : ~ epred1_3(X1,X2,X3) ),
    introduced(definition) ).

fof(c_0_34,plain,
    ( ~ epred13_0
  <=> ! [X3,X2,X1] : ~ epred1_3(X1,X2,X3) ),
    introduced(definition) ).

fof(c_0_35,plain,
    ! [X7,X8,X9,X7,X8,X9] :
      ( ( ~ elem(X7,snoc(X9,X8))
        | X7 = X8
        | elem(X7,X9) )
      & ( X7 != X8
        | elem(X7,snoc(X9,X8)) )
      & ( ~ elem(X7,X9)
        | elem(X7,snoc(X9,X8)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_47])])])])]) ).

fof(c_0_36,plain,
    ! [X7,X8] : m_Down(X7) != m_Ldr(X8),
    inference(variable_rename,[status(thm)],[axiom_18]) ).

fof(c_0_37,plain,
    ( ~ epred14_0
  <=> ! [X6,X5,X4] :
        ( leq(index(pendack,host(X4)),host(X5))
        | ~ elem(m_Down(X6),queue(host(X5)))
        | ~ setIn(X4,alive)
        | ~ setIn(X5,alive)
        | host(X4) != host(X6)
        | index(status,host(X4)) != elec_2 ) ),
    introduced(definition) ).

cnf(c_0_38,plain,
    ( leq(index(pendack,host(X4)),host(X5))
    | ~ epred1_3(X1,X2,X3)
    | index(status,host(X4)) != elec_2
    | host(X4) != host(X6)
    | ~ elem(m_Down(X6),queue(host(X5)))
    | ~ setIn(X4,alive)
    | ~ setIn(X5,alive) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_39,plain,
    ( epred15_0
    | ~ epred1_3(X1,X2,X3) ),
    inference(split_equiv,[status(thm)],[c_0_30]) ).

cnf(c_0_40,negated_conjecture,
    epred1_3(esk9_0,esk7_0,esk5_0),
    inference(sr,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_41,negated_conjecture,
    host(esk7_0) = index(pendack,host(esk6_0)),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_42,plain,
    ( ~ epred2_0
  <=> ! [X5,X4] :
        ( ~ elem(m_Down(X4),queue(host(X5)))
        | host(X4) != host(X5) ) ),
    introduced(definition) ).

cnf(c_0_43,plain,
    ( ~ epred1_3(X1,X2,X3)
    | host(X4) != host(X5)
    | ~ elem(m_Down(X4),queue(host(X5))) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_44,plain,
    ( epred3_0
    | ~ epred1_3(X1,X2,X3) ),
    inference(split_equiv,[status(thm)],[c_0_33]) ).

fof(c_0_45,plain,
    ! [X7,X8,X9,X7,X8,X9] :
      ( ( ~ elem(X7,cons(X8,X9))
        | X7 = X8
        | elem(X7,X9) )
      & ( X7 != X8
        | elem(X7,cons(X8,X9)) )
      & ( ~ elem(X7,X9)
        | elem(X7,cons(X8,X9)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_46])])])])]) ).

fof(c_0_46,plain,
    ! [X7,X8,X7,X8] :
      ( ( ~ leq(X7,X8)
        | ~ leq(X8,X7)
        | X7 = X8 )
      & ( leq(X7,X8)
        | X7 != X8 )
      & ( leq(X8,X7)
        | X7 != X8 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])])])]) ).

cnf(c_0_47,negated_conjecture,
    leq(nbr_proc,s(host(esk12_0))),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_48,negated_conjecture,
    host(esk10_0) = s(host(esk12_0)),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_49,plain,
    ! [X4] : leq(host(X4),nbr_proc),
    inference(variable_rename,[status(thm)],[axiom_04]) ).

fof(c_0_50,plain,
    ( ~ epred12_0
  <=> ! [X5,X4] :
        ( leq(index(pendack,host(X4)),host(X5))
        | ~ setIn(X4,alive)
        | ~ setIn(X5,alive)
        | ~ setIn(host(X4),index(down,host(X5)))
        | index(status,host(X4)) != elec_2 ) ),
    introduced(definition) ).

cnf(c_0_51,plain,
    ( leq(index(pendack,host(X4)),host(X5))
    | ~ epred1_3(X1,X2,X3)
    | index(status,host(X4)) != elec_2
    | ~ setIn(host(X4),index(down,host(X5)))
    | ~ setIn(X4,alive)
    | ~ setIn(X5,alive) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_52,plain,
    ( epred13_0
    | ~ epred1_3(X1,X2,X3) ),
    inference(split_equiv,[status(thm)],[c_0_34]) ).

cnf(c_0_53,plain,
    ( elem(X1,X2)
    | X1 = X3
    | ~ elem(X1,snoc(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_54,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_55,plain,
    m_Down(X1) != m_Ldr(X2),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_56,plain,
    ( ~ epred15_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_38,c_0_37]),c_0_30]) ).

cnf(c_0_57,negated_conjecture,
    epred15_0,
    inference(pm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_58,negated_conjecture,
    leq(nbr_proc,index(pendack,host(esk6_0))),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_59,negated_conjecture,
    index(pendack,host(esk9_0)) = host(esk7_0),
    inference(rw,[status(thm)],[c_0_41,c_0_15]) ).

fof(c_0_60,plain,
    ! [X6] : ~ leq(s(X6),X6),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_58])]) ).

cnf(c_0_61,plain,
    ( ~ epred3_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_43,c_0_42]),c_0_33]) ).

cnf(c_0_62,negated_conjecture,
    epred3_0,
    inference(pm,[status(thm)],[c_0_44,c_0_26]) ).

cnf(c_0_63,plain,
    ( elem(X1,cons(X2,X3))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_64,plain,
    ( queue(host(X1)) = cons(m_Down(X2),X3)
    | ~ epred1_3(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_65,plain,
    ! [X7,X8,X7,X8] :
      ( ( ~ leq(X7,X8)
        | leq(s(X7),s(X8)) )
      & ( ~ leq(s(X7),s(X8))
        | leq(X7,X8) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_63])])])]) ).

fof(c_0_66,plain,
    ! [X7,X8,X7,X8] :
      ( ( ~ leq(X7,s(X8))
        | X7 = s(X8)
        | leq(X7,X8) )
      & ( X7 != s(X8)
        | leq(X7,s(X8)) )
      & ( ~ leq(X7,X8)
        | leq(X7,s(X8)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_64])])])])]) ).

cnf(c_0_67,plain,
    ( X1 = X2
    | ~ leq(X2,X1)
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_68,negated_conjecture,
    leq(nbr_proc,host(esk10_0)),
    inference(rw,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_69,plain,
    leq(host(X1),nbr_proc),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

fof(c_0_70,plain,
    ! [X4] : leq(s(zero),host(X4)),
    inference(variable_rename,[status(thm)],[axiom_02]) ).

cnf(c_0_71,plain,
    ( ~ epred13_0
    | ~ epred12_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_51,c_0_50]),c_0_34]) ).

cnf(c_0_72,negated_conjecture,
    epred13_0,
    inference(pm,[status(thm)],[c_0_52,c_0_40]) ).

cnf(c_0_73,plain,
    ( epred14_0
    | leq(index(pendack,host(X1)),host(X2))
    | index(status,host(X1)) != elec_2
    | host(X1) != host(X3)
    | ~ setIn(X1,alive)
    | ~ setIn(X2,alive)
    | ~ elem(m_Down(X3),queue(host(X2))) ),
    inference(split_equiv,[status(thm)],[c_0_37]) ).

cnf(c_0_74,negated_conjecture,
    elem(m_Down(esk11_0),queue(host(esk12_0))),
    inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).

cnf(c_0_75,negated_conjecture,
    setIn(esk12_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_76,plain,
    ~ epred14_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57])]) ).

cnf(c_0_77,negated_conjecture,
    leq(nbr_proc,host(esk7_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_15]),c_0_59]) ).

cnf(c_0_78,plain,
    ~ leq(s(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_79,plain,
    ~ epred2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62])]) ).

cnf(c_0_80,plain,
    elem(X1,cons(X1,X2)),
    inference(er,[status(thm)],[c_0_63]) ).

cnf(c_0_81,negated_conjecture,
    cons(m_Down(esk7_0),esk5_0) = queue(host(esk9_0)),
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_64,c_0_26]),c_0_15]) ).

cnf(c_0_82,plain,
    ( leq(X1,X2)
    | ~ leq(s(X1),s(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_83,plain,
    ( leq(X1,s(X2))
    | X1 != s(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_84,plain,
    ( leq(X1,X2)
    | X1 = s(X2)
    | ~ leq(X1,s(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_85,plain,
    ( leq(s(X1),s(X2))
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_86,negated_conjecture,
    host(esk10_0) = nbr_proc,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_68]),c_0_69])]) ).

cnf(c_0_87,plain,
    ( epred12_0
    | 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(split_equiv,[status(thm)],[c_0_50]) ).

cnf(c_0_88,negated_conjecture,
    ( X1 = host(esk11_0)
    | setIn(X1,index(down,host(esk12_0)))
    | leq(host(esk12_0),X1)
    | ~ leq(s(zero),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_89,plain,
    leq(s(zero),host(X1)),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_90,plain,
    ~ epred12_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72])]) ).

cnf(c_0_91,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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_73,c_0_74]),c_0_75])]),c_0_76]) ).

cnf(c_0_92,negated_conjecture,
    host(esk7_0) = nbr_proc,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_77]),c_0_69])]) ).

cnf(c_0_93,negated_conjecture,
    ~ leq(host(esk10_0),host(esk12_0)),
    inference(pm,[status(thm)],[c_0_78,c_0_48]) ).

cnf(c_0_94,plain,
    ( host(X1) != host(X2)
    | ~ elem(m_Down(X1),queue(host(X2))) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_42]),c_0_79]) ).

cnf(c_0_95,negated_conjecture,
    elem(m_Down(esk7_0),queue(host(esk9_0))),
    inference(pm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_96,plain,
    ( leq(X1,X2)
    | s(X1) != s(X2) ),
    inference(pm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_97,plain,
    ( s(X1) = s(X2)
    | leq(s(X1),X2)
    | ~ leq(X1,X2) ),
    inference(pm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_98,negated_conjecture,
    s(host(esk12_0)) = nbr_proc,
    inference(rw,[status(thm)],[c_0_48,c_0_86]) ).

cnf(c_0_99,negated_conjecture,
    ( leq(index(pendack,host(X1)),host(esk12_0))
    | leq(host(esk12_0),host(X1))
    | index(status,host(X1)) != elec_2
    | ~ setIn(X1,alive) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_87,c_0_88]),c_0_75]),c_0_89])]),c_0_90]),c_0_91]) ).

cnf(c_0_100,negated_conjecture,
    index(pendack,host(esk9_0)) = nbr_proc,
    inference(rw,[status(thm)],[c_0_59,c_0_92]) ).

cnf(c_0_101,negated_conjecture,
    ~ leq(nbr_proc,host(esk12_0)),
    inference(rw,[status(thm)],[c_0_93,c_0_86]) ).

cnf(c_0_102,plain,
    ( host(X1) = nbr_proc
    | ~ leq(nbr_proc,host(X1)) ),
    inference(pm,[status(thm)],[c_0_67,c_0_69]) ).

cnf(c_0_103,negated_conjecture,
    host(esk9_0) != nbr_proc,
    inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_94,c_0_95]),c_0_92]) ).

cnf(c_0_104,plain,
    ( X1 = X2
    | s(X2) != s(X1) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_67,c_0_96]),c_0_96]) ).

cnf(c_0_105,negated_conjecture,
    ( s(X1) = nbr_proc
    | leq(nbr_proc,X1)
    | ~ leq(host(esk12_0),X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_97,c_0_98]),c_0_48]),c_0_86]) ).

cnf(c_0_106,negated_conjecture,
    leq(host(esk12_0),host(esk9_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_99,c_0_100]),c_0_18]),c_0_23])]),c_0_101]) ).

cnf(c_0_107,negated_conjecture,
    ~ leq(nbr_proc,host(esk9_0)),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_102,c_0_15]),c_0_15]),c_0_103]) ).

cnf(c_0_108,negated_conjecture,
    host(esk6_0) != host(esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_109,negated_conjecture,
    ( host(esk12_0) = X1
    | s(X1) != nbr_proc ),
    inference(pm,[status(thm)],[c_0_104,c_0_98]) ).

cnf(c_0_110,negated_conjecture,
    s(host(esk9_0)) = nbr_proc,
    inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_105,c_0_106]),c_0_107]) ).

cnf(c_0_111,negated_conjecture,
    host(esk12_0) != host(esk9_0),
    inference(rw,[status(thm)],[c_0_108,c_0_15]) ).

cnf(c_0_112,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_109,c_0_110]),c_0_111]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWV478+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.14  % Command  : run_ET %s %d
% 0.14/0.35  % Computer : n010.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Thu Jun 16 03:15:08 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.38/23.42  eprover: CPU time limit exceeded, terminating
% 0.38/23.42  eprover: CPU time limit exceeded, terminating
% 0.38/23.43  eprover: CPU time limit exceeded, terminating
% 0.38/23.43  eprover: CPU time limit exceeded, terminating
% 0.53/46.44  eprover: CPU time limit exceeded, terminating
% 0.53/46.44  eprover: CPU time limit exceeded, terminating
% 0.53/46.45  eprover: CPU time limit exceeded, terminating
% 0.53/46.45  eprover: CPU time limit exceeded, terminating
% 0.53/46.70  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.53/46.70  
% 0.53/46.70  # Failure: Resource limit exceeded (time)
% 0.53/46.70  # OLD status Res
% 0.53/46.70  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.53/46.70  # Preprocessing time       : 0.024 s
% 0.53/46.70  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.53/46.70  
% 0.53/46.70  # Failure: Resource limit exceeded (time)
% 0.53/46.70  # OLD status Res
% 0.53/46.70  # Preprocessing time       : 0.014 s
% 0.53/46.70  # Running protocol protocol_eprover_eb48853eb71ccd2a6fdade56c25b63f5692e1a0c for 23 seconds:
% 0.53/46.70  # Preprocessing time       : 0.013 s
% 0.53/46.70  
% 0.53/46.70  # Proof found!
% 0.53/46.70  # SZS status Theorem
% 0.53/46.70  # SZS output start CNFRefutation
% See solution above
% 0.53/46.71  # Proof object total steps             : 113
% 0.53/46.71  # Proof object clause steps            : 81
% 0.53/46.71  # Proof object formula steps           : 32
% 0.53/46.71  # Proof object conjectures             : 46
% 0.53/46.71  # Proof object clause conjectures      : 43
% 0.53/46.71  # Proof object formula conjectures     : 3
% 0.53/46.71  # Proof object initial clauses used    : 36
% 0.53/46.71  # Proof object initial formulas used   : 10
% 0.53/46.71  # Proof object generating inferences   : 26
% 0.53/46.71  # Proof object simplifying inferences  : 61
% 0.53/46.71  # Training examples: 0 positive, 0 negative
% 0.53/46.71  # Parsed axioms                        : 67
% 0.53/46.71  # Removed by relevancy pruning/SinE    : 0
% 0.53/46.71  # Initial clauses                      : 139
% 0.53/46.71  # Removed in clause preprocessing      : 6
% 0.53/46.71  # Initial clauses in saturation        : 133
% 0.53/46.71  # Processed clauses                    : 1529
% 0.53/46.71  # ...of these trivial                  : 49
% 0.53/46.71  # ...subsumed                          : 648
% 0.53/46.71  # ...remaining for further processing  : 832
% 0.53/46.71  # Other redundant clauses eliminated   : 8
% 0.53/46.71  # Clauses deleted for lack of memory   : 0
% 0.53/46.71  # Backward-subsumed                    : 5
% 0.53/46.71  # Backward-rewritten                   : 54
% 0.53/46.71  # Generated clauses                    : 12777
% 0.53/46.71  # ...of the previous two non-trivial   : 11728
% 0.53/46.71  # Contextual simplify-reflections      : 61
% 0.53/46.71  # Paramodulations                      : 12663
% 0.53/46.71  # Factorizations                       : 14
% 0.53/46.71  # Equation resolutions                 : 43
% 0.53/46.71  # Current number of processed clauses  : 747
% 0.53/46.71  #    Positive orientable unit clauses  : 90
% 0.53/46.71  #    Positive unorientable unit clauses: 0
% 0.53/46.71  #    Negative unit clauses             : 131
% 0.53/46.71  #    Non-unit-clauses                  : 526
% 0.53/46.71  # Current number of unprocessed clauses: 10182
% 0.53/46.71  # ...number of literals in the above   : 42046
% 0.53/46.71  # Current number of archived formulas  : 0
% 0.53/46.71  # Current number of archived clauses   : 62
% 0.53/46.71  # Clause-clause subsumption calls (NU) : 98340
% 0.53/46.71  # Rec. Clause-clause subsumption calls : 32455
% 0.53/46.71  # Non-unit clause-clause subsumptions  : 231
% 0.53/46.71  # Unit Clause-clause subsumption calls : 29329
% 0.53/46.71  # Rewrite failures with RHS unbound    : 0
% 0.53/46.71  # BW rewrite match attempts            : 98
% 0.53/46.71  # BW rewrite match successes           : 24
% 0.53/46.71  # Condensation attempts                : 0
% 0.53/46.71  # Condensation successes               : 0
% 0.53/46.71  # Termbank termtop insertions          : 169938
% 0.53/46.71  
% 0.53/46.71  # -------------------------------------------------
% 0.53/46.71  # User time                : 0.167 s
% 0.53/46.71  # System time              : 0.010 s
% 0.53/46.71  # Total time               : 0.177 s
% 0.53/46.71  # Maximum resident set size: 13684 pages
% 0.53/69.46  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.53/69.46  
% 0.53/69.46  eprover: CPU time limit exceeded, terminating
% 0.53/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.48  eprover: No such file or directory
% 0.53/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.48  eprover: No such file or directory
% 0.53/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.48  eprover: No such file or directory
% 0.53/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.48  eprover: No such file or directory
% 0.53/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.48  eprover: No such file or directory
% 0.53/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.48  eprover: No such file or directory
% 0.53/69.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.48  eprover: No such file or directory
% 0.53/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.49  eprover: No such file or directory
% 0.53/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.49  eprover: No such file or directory
% 0.53/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.49  eprover: No such file or directory
% 0.53/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.49  eprover: No such file or directory
% 0.53/69.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.49  eprover: No such file or directory
% 0.53/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.50  eprover: No such file or directory
% 0.53/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.50  eprover: No such file or directory
% 0.53/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.50  eprover: No such file or directory
% 0.53/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.50  eprover: No such file or directory
% 0.53/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.50  eprover: No such file or directory
% 0.53/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.50  eprover: No such file or directory
% 0.53/69.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.50  eprover: No such file or directory
% 0.53/69.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.51  eprover: No such file or directory
% 0.53/69.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.51  eprover: No such file or directory
% 0.53/69.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.51  eprover: No such file or directory
% 0.53/69.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.51  eprover: No such file or directory
% 0.53/69.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.51  eprover: No such file or directory
% 0.53/69.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.53/69.52  eprover: No such file or directory
% 0.53/69.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.52  eprover: No such file or directory
% 0.53/69.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.52  eprover: No such file or directory
%------------------------------------------------------------------------------