TSTP Solution File: SWV481+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWV481+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 18:16:57 EDT 2022

% Result   : Theorem 0.42s 39.64s
% Output   : CNFRefutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  107 (  45 unt;   0 def)
%            Number of atoms       :  810 ( 352 equ)
%            Maximal formula atoms :  179 (   7 avg)
%            Number of connectives : 1067 ( 364   ~; 299   |; 322   &)
%                                         (   8 <=>;  74  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   82 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-3 aty)
%            Number of functors    :   30 (  30 usr;  20 con; 0-7 aty)
%            Number of variables   :  320 (  27 sgn 258   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj,conjecture,
    ! [X12,X13,X5,X6] :
      ( ( ! [X7,X14] :
            ( elem(m_Ldr(X14),queue(host(X7)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7,X14] :
            ( elem(m_Down(X14),queue(host(X7)))
           => host(X14) != host(X7) )
        & ! [X7,X14] :
            ( ( X14 != X7
              & host(X14) = host(X7) )
           => ( ~ setIn(X7,alive)
              | ~ setIn(X14,alive) ) )
        & ! [X7] :
            ( ( ( index(status,host(X7)) = elec_1
                | index(status,host(X7)) = elec_2 )
              & setIn(X7,alive) )
           => index(elid,host(X7)) = X7 )
        & ! [X7,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & setIn(host(X14),index(down,host(X7)))
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X14] :
            ( ( setIn(X14,alive)
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X14) )
           => ~ ( setIn(X7,alive)
                & setIn(host(X14),index(down,host(X7))) ) )
        & ! [X7,X15,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & elem(m_Down(X15),queue(host(X7)))
              & host(X14) = host(X15)
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X15,X14] :
            ( ( setIn(X14,alive)
              & host(X15) = host(X14)
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X14) )
           => ~ ( setIn(X7,alive)
                & elem(m_Down(X15),queue(host(X7))) ) )
        & ! [X7,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & index(ldr,host(X7)) = host(X7)
              & index(status,host(X7)) = norm
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X14) )
           => X14 = X7 )
        & ! [X7,X15,X14] :
            ( ( ~ leq(host(X15),host(X14))
              & setIn(X14,alive)
              & elem(m_Down(X15),queue(host(X14)))
              & host(X15) = host(X7) )
           => ~ ( setIn(X7,alive)
                & index(ldr,host(X7)) = host(X7)
                & index(status,host(X7)) = norm ) )
        & ! [X7,X16,X15,X14] :
            ( ( host(X15) != host(X7)
              & setIn(X7,alive)
              & setIn(X15,alive)
              & host(X16) = host(X7)
              & host(X14) = host(X15) )
           => ~ ( elem(m_Down(X14),queue(host(X7)))
                & elem(m_Down(X16),queue(host(X15))) ) )
        & ! [X7,X16,X15,X14] :
            ( ( host(X15) != host(X7)
              & setIn(X7,alive)
              & setIn(X15,alive)
              & host(X16) = host(X7)
              & host(X14) = host(X15) )
           => ~ ( elem(m_Down(X14),queue(host(X7)))
                & setIn(host(X16),index(down,host(X15))) ) )
        & ! [X7,X15,X14] :
            ( ( host(X14) != host(X15)
              & setIn(X14,alive)
              & elem(m_Down(X7),queue(host(X14)))
              & host(X15) = host(X7)
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X15) )
           => ~ ( setIn(X15,alive)
                & index(status,host(X15)) = norm
                & index(ldr,host(X15)) = host(X15) ) )
        & ! [X7,X15,X14] :
            ( ( host(X14) != host(X15)
              & setIn(X14,alive)
              & elem(m_Down(X7),queue(host(X14)))
              & host(X15) = host(X7)
              & index(status,host(X14)) = wait
              & host(index(elid,host(X14))) = host(X15) )
           => ~ ( setIn(X15,alive)
                & index(status,host(X15)) = norm
                & index(ldr,host(X15)) = host(X15) ) )
        & ! [X7,X16,X15,X14] :
            ( ( ! [X17] :
                  ( ( ~ leq(host(X14),X17)
                    & leq(s(zero),X17) )
                 => ( setIn(X17,index(down,host(X14)))
                    | X17 = host(X15) ) )
              & setIn(X7,alive)
              & leq(host(X7),host(X14))
              & elem(m_Down(X15),queue(host(X14)))
              & host(X16) = host(X14)
              & index(status,host(X7)) = elec_2
              & index(status,host(X14)) = elec_1 )
           => ~ elem(m_Ack(X7,X16),queue(host(X7))) )
        & ! [X7,X16,X15,X14] :
            ( ( ! [X17] :
                  ( ( ~ leq(host(X14),X17)
                    & leq(s(zero),X17) )
                 => ( setIn(X17,index(down,host(X14)))
                    | X17 = host(X15) ) )
              & setIn(X14,alive)
              & leq(nbr_proc,s(host(X14)))
              & elem(m_Down(X15),queue(host(X14)))
              & elem(m_Down(X16),queue(host(X14)))
              & host(X16) = s(host(X14))
              & index(status,host(X14)) = elec_1 )
           => ~ ( setIn(X7,alive)
                & index(ldr,host(X7)) = host(X7)
                & index(status,host(X7)) = norm ) )
        & queue(host(X5)) = cons(m_Down(X6),X12) )
     => ( setIn(X5,alive)
       => ( ~ leq(host(X5),host(X6))
         => ( ~ ( ( index(ldr,host(X5)) = host(X6)
                  & index(status,host(X5)) = norm )
                | ( index(status,host(X5)) = wait
                  & host(X6) = host(index(elid,host(X5))) ) )
           => ( ~ ( ! [X7] :
                      ( ( ~ leq(host(X5),X7)
                        & leq(s(zero),X7) )
                     => ( setIn(X7,index(down,host(X5)))
                        | X7 = host(X6) ) )
                  & index(status,host(X5)) = elec_1 )
             => ! [X7,X18,X19,X20] :
                  ( host(X5) = host(X20)
                 => ( ( ! [X17] :
                          ( ( ~ leq(host(X20),X17)
                            & leq(s(zero),X17) )
                         => ( setIn(X17,index(down,host(X5)))
                            | X17 = host(X6)
                            | X17 = host(X19) ) )
                      & setIn(X20,alive)
                      & elem(m_Down(X18),X12)
                      & elem(m_Down(X19),X12)
                      & leq(nbr_proc,s(host(X20)))
                      & host(X18) = s(host(X20))
                      & index(status,host(X20)) = elec_1 )
                   => ~ ( setIn(X7,alive)
                        & index(ldr,host(X7)) = host(X7)
                        & index(status,host(X7)) = norm ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj) ).

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_60,axiom,
    ! [X5,X6] :
      ( leq(X5,X6)
      | leq(X6,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_60) ).

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_02,axiom,
    ! [X3] : leq(s(zero),host(X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_02) ).

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

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_62,axiom,
    ! [X5,X6,X7] :
      ( ( leq(X5,X6)
        & leq(X6,X7) )
     => leq(X5,X7) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_62) ).

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

fof(c_0_9,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_10,negated_conjecture,
    ~ ! [X12,X13,X5,X6] :
        ( epred1_3(X5,X6,X12)
       => ( setIn(X5,alive)
         => ( ~ leq(host(X5),host(X6))
           => ( ~ ( ( index(ldr,host(X5)) = host(X6)
                    & index(status,host(X5)) = norm )
                  | ( index(status,host(X5)) = wait
                    & host(X6) = host(index(elid,host(X5))) ) )
             => ( ~ ( ! [X7] :
                        ( ( ~ leq(host(X5),X7)
                          & leq(s(zero),X7) )
                       => ( setIn(X7,index(down,host(X5)))
                          | X7 = host(X6) ) )
                    & index(status,host(X5)) = elec_1 )
               => ! [X7,X18,X19,X20] :
                    ( host(X5) = host(X20)
                   => ( ( ! [X17] :
                            ( ( ~ leq(host(X20),X17)
                              & leq(s(zero),X17) )
                           => ( setIn(X17,index(down,host(X5)))
                              | X17 = host(X6)
                              | X17 = host(X19) ) )
                        & setIn(X20,alive)
                        & elem(m_Down(X18),X12)
                        & elem(m_Down(X19),X12)
                        & leq(nbr_proc,s(host(X20)))
                        & host(X18) = s(host(X20))
                        & index(status,host(X20)) = elec_1 )
                     => ~ ( setIn(X7,alive)
                          & index(ldr,host(X7)) = host(X7)
                          & index(status,host(X7)) = norm ) ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[conj]),c_0_9]) ).

fof(c_0_11,negated_conjecture,
    ! [X30] :
      ( epred1_3(esk2_0,esk3_0,esk1_0)
      & setIn(esk2_0,alive)
      & ~ leq(host(esk2_0),host(esk3_0))
      & ( index(ldr,host(esk2_0)) != host(esk3_0)
        | index(status,host(esk2_0)) != norm )
      & ( index(status,host(esk2_0)) != wait
        | host(esk3_0) != host(index(elid,host(esk2_0))) )
      & ( ~ leq(host(esk2_0),esk4_0)
        | index(status,host(esk2_0)) != elec_1 )
      & ( leq(s(zero),esk4_0)
        | index(status,host(esk2_0)) != elec_1 )
      & ( ~ setIn(esk4_0,index(down,host(esk2_0)))
        | index(status,host(esk2_0)) != elec_1 )
      & ( esk4_0 != host(esk3_0)
        | index(status,host(esk2_0)) != elec_1 )
      & host(esk2_0) = host(esk8_0)
      & ( leq(host(esk8_0),X30)
        | ~ leq(s(zero),X30)
        | setIn(X30,index(down,host(esk2_0)))
        | X30 = host(esk3_0)
        | X30 = host(esk7_0) )
      & setIn(esk8_0,alive)
      & elem(m_Down(esk6_0),esk1_0)
      & elem(m_Down(esk7_0),esk1_0)
      & leq(nbr_proc,s(host(esk8_0)))
      & host(esk6_0) = s(host(esk8_0))
      & index(status,host(esk8_0)) = elec_1
      & setIn(esk5_0,alive)
      & index(ldr,host(esk5_0)) = host(esk5_0)
      & index(status,host(esk5_0)) = norm ),
    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_10])])])])])])])]) ).

cnf(c_0_12,negated_conjecture,
    index(status,host(esk8_0)) = elec_1,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_13,negated_conjecture,
    host(esk2_0) = host(esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_14,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_9]) ).

cnf(c_0_15,negated_conjecture,
    ( X1 = host(esk7_0)
    | X1 = host(esk3_0)
    | setIn(X1,index(down,host(esk2_0)))
    | leq(host(esk8_0),X1)
    | ~ leq(s(zero),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,negated_conjecture,
    ( leq(s(zero),esk4_0)
    | index(status,host(esk2_0)) != elec_1 ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,negated_conjecture,
    index(status,host(esk2_0)) = elec_1,
    inference(rw,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_18,negated_conjecture,
    ( index(status,host(esk2_0)) != elec_1
    | ~ leq(host(esk2_0),esk4_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_19,negated_conjecture,
    ( index(status,host(esk2_0)) != elec_1
    | ~ setIn(esk4_0,index(down,host(esk2_0))) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

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),esk9_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),esk9_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(esk9_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) )
      & ( esk9_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),esk10_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),esk10_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(esk10_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) )
      & ( esk10_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_14])])])])])])])]) ).

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

fof(c_0_22,plain,
    ( ~ epred7_0
  <=> ! [X3,X2,X1] : ~ epred1_3(X1,X2,X3) ),
    introduced(definition) ).

cnf(c_0_23,negated_conjecture,
    ( X1 = host(esk7_0)
    | X1 = host(esk3_0)
    | leq(host(esk2_0),X1)
    | setIn(X1,index(down,host(esk2_0)))
    | ~ leq(s(zero),X1) ),
    inference(rw,[status(thm)],[c_0_15,c_0_13]) ).

cnf(c_0_24,negated_conjecture,
    leq(s(zero),esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).

cnf(c_0_25,negated_conjecture,
    ~ leq(host(esk2_0),esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_17])]) ).

cnf(c_0_26,negated_conjecture,
    ~ setIn(esk4_0,index(down,host(esk2_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_17])]) ).

cnf(c_0_27,negated_conjecture,
    ( index(status,host(esk2_0)) != elec_1
    | esk4_0 != host(esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_28,plain,
    ( ~ epred8_0
  <=> ! [X4,X5,X6] :
        ( ~ elem(m_Down(X4),queue(host(X5)))
        | ~ setIn(X5,alive)
        | ~ setIn(X6,alive)
        | host(X4) != host(X6)
        | index(status,host(X6)) != norm
        | index(ldr,host(X6)) != host(X6) ) ),
    introduced(definition) ).

cnf(c_0_29,plain,
    ( ~ epred1_3(X1,X2,X3)
    | ~ elem(m_Down(X4),queue(host(X5)))
    | ~ setIn(X5,alive)
    | index(ldr,host(X6)) != host(X6)
    | index(status,host(X6)) != norm
    | host(X4) != host(X6)
    | ~ setIn(X6,alive) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_30,plain,
    ( epred9_0
    | ~ epred1_3(X1,X2,X3) ),
    inference(split_equiv,[status(thm)],[c_0_21]) ).

cnf(c_0_31,negated_conjecture,
    epred1_3(esk2_0,esk3_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_32,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])])])])]) ).

cnf(c_0_33,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_34,plain,
    ( ~ epred6_0
  <=> ! [X5,X4] :
        ( ~ setIn(X4,alive)
        | ~ setIn(X5,alive)
        | ~ setIn(host(X4),index(down,host(X5)))
        | index(status,host(X4)) != norm
        | index(ldr,host(X4)) != host(X4) ) ),
    introduced(definition) ).

cnf(c_0_35,plain,
    ( ~ epred1_3(X1,X2,X3)
    | ~ setIn(host(X4),index(down,host(X5)))
    | ~ setIn(X5,alive)
    | index(ldr,host(X4)) != host(X4)
    | index(status,host(X4)) != norm
    | ~ setIn(X4,alive) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_36,plain,
    ( epred7_0
    | ~ epred1_3(X1,X2,X3) ),
    inference(split_equiv,[status(thm)],[c_0_22]) ).

cnf(c_0_37,negated_conjecture,
    ( esk4_0 = host(esk3_0)
    | host(esk7_0) = esk4_0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26]) ).

cnf(c_0_38,negated_conjecture,
    esk4_0 != host(esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_17])]) ).

cnf(c_0_39,plain,
    ( ~ epred9_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_29,c_0_28]),c_0_21]) ).

cnf(c_0_40,negated_conjecture,
    epred9_0,
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_41,plain,
    ( elem(X1,cons(X2,X3))
    | ~ elem(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_42,negated_conjecture,
    cons(m_Down(esk3_0),esk1_0) = queue(host(esk2_0)),
    inference(spm,[status(thm)],[c_0_33,c_0_31]) ).

cnf(c_0_43,plain,
    ( elem(X1,cons(X2,X3))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_44,plain,
    ( ~ epred7_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_35,c_0_34]),c_0_22]) ).

cnf(c_0_45,negated_conjecture,
    epred7_0,
    inference(spm,[status(thm)],[c_0_36,c_0_31]) ).

cnf(c_0_46,negated_conjecture,
    host(esk7_0) = esk4_0,
    inference(sr,[status(thm)],[c_0_37,c_0_38]) ).

fof(c_0_47,plain,
    ! [X7,X8] :
      ( leq(X7,X8)
      | leq(X8,X7) ),
    inference(variable_rename,[status(thm)],[axiom_60]) ).

cnf(c_0_48,plain,
    ~ epred8_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40])]) ).

cnf(c_0_49,negated_conjecture,
    ( elem(X1,queue(host(esk2_0)))
    | ~ elem(X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_50,negated_conjecture,
    elem(m_Down(esk7_0),esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_51,plain,
    elem(X1,cons(X1,X2)),
    inference(er,[status(thm)],[c_0_43]) ).

cnf(c_0_52,plain,
    ~ epred6_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]) ).

cnf(c_0_53,negated_conjecture,
    ( X1 = host(esk3_0)
    | X1 = esk4_0
    | leq(host(esk2_0),X1)
    | setIn(X1,index(down,host(esk2_0)))
    | ~ leq(s(zero),X1) ),
    inference(rw,[status(thm)],[c_0_23,c_0_46]) ).

cnf(c_0_54,plain,
    ( leq(X1,X2)
    | leq(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_55,plain,
    ( index(ldr,host(X1)) != host(X1)
    | index(status,host(X1)) != norm
    | host(X2) != host(X1)
    | ~ setIn(X3,alive)
    | ~ setIn(X1,alive)
    | ~ elem(m_Down(X2),queue(host(X3))) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_28]),c_0_48]) ).

cnf(c_0_56,negated_conjecture,
    elem(m_Down(esk7_0),queue(host(esk2_0))),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_57,negated_conjecture,
    setIn(esk2_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_58,negated_conjecture,
    elem(m_Down(esk3_0),queue(host(esk2_0))),
    inference(spm,[status(thm)],[c_0_51,c_0_42]) ).

fof(c_0_59,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])])])])]) ).

fof(c_0_60,plain,
    ! [X4] : leq(s(zero),host(X4)),
    inference(variable_rename,[status(thm)],[axiom_02]) ).

fof(c_0_61,plain,
    ! [X4] : leq(host(X4),nbr_proc),
    inference(variable_rename,[status(thm)],[axiom_04]) ).

cnf(c_0_62,negated_conjecture,
    host(esk6_0) = s(host(esk8_0)),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_63,plain,
    ( index(ldr,host(X1)) != host(X1)
    | index(status,host(X1)) != norm
    | ~ setIn(host(X1),index(down,host(X2)))
    | ~ setIn(X1,alive)
    | ~ setIn(X2,alive) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_34]),c_0_52]) ).

cnf(c_0_64,negated_conjecture,
    ( X1 = host(esk3_0)
    | X1 = esk4_0
    | leq(X1,s(zero))
    | leq(host(esk2_0),X1)
    | setIn(X1,index(down,host(esk2_0))) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_65,plain,
    ( index(ldr,host(X1)) != host(X1)
    | index(status,host(X1)) != norm
    | esk4_0 != host(X1)
    | ~ setIn(X1,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_46]),c_0_57])]) ).

cnf(c_0_66,plain,
    ( index(ldr,host(X1)) != host(X1)
    | index(status,host(X1)) != norm
    | host(esk3_0) != host(X1)
    | ~ setIn(X1,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_58]),c_0_57])]) ).

cnf(c_0_67,plain,
    ( X1 = X2
    | ~ leq(X2,X1)
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_68,plain,
    leq(s(zero),host(X1)),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

fof(c_0_69,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_70,plain,
    leq(host(X1),nbr_proc),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_71,negated_conjecture,
    host(esk6_0) = s(host(esk2_0)),
    inference(rw,[status(thm)],[c_0_62,c_0_13]) ).

cnf(c_0_72,negated_conjecture,
    leq(nbr_proc,s(host(esk8_0))),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_73,plain,
    ( leq(host(esk2_0),host(X1))
    | leq(host(X1),s(zero))
    | index(ldr,host(X1)) != host(X1)
    | index(status,host(X1)) != norm
    | ~ setIn(X1,alive) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_57])]),c_0_65]),c_0_66]) ).

cnf(c_0_74,negated_conjecture,
    setIn(esk5_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_75,negated_conjecture,
    index(ldr,host(esk5_0)) = host(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_76,negated_conjecture,
    index(status,host(esk5_0)) = norm,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_77,plain,
    ( host(X1) = s(zero)
    | ~ leq(host(X1),s(zero)) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_78,plain,
    ( leq(X1,s(X2))
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_79,negated_conjecture,
    leq(s(host(esk2_0)),nbr_proc),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_80,negated_conjecture,
    leq(nbr_proc,s(host(esk2_0))),
    inference(rw,[status(thm)],[c_0_72,c_0_13]) ).

cnf(c_0_81,negated_conjecture,
    elem(m_Down(esk6_0),esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_82,plain,
    ( leq(X1,X2)
    | X1 = s(X2)
    | ~ leq(X1,s(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_83,negated_conjecture,
    ( leq(host(esk5_0),s(zero))
    | leq(host(esk2_0),host(esk5_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]),c_0_76])]) ).

cnf(c_0_84,plain,
    ( host(X1) = s(zero)
    | ~ leq(host(X1),zero) ),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_85,negated_conjecture,
    nbr_proc = s(host(esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_79]),c_0_80])]) ).

cnf(c_0_86,negated_conjecture,
    elem(m_Down(esk6_0),queue(host(esk2_0))),
    inference(spm,[status(thm)],[c_0_49,c_0_81]) ).

cnf(c_0_87,negated_conjecture,
    ( host(esk5_0) = s(zero)
    | leq(host(esk2_0),host(esk5_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]) ).

cnf(c_0_88,plain,
    leq(host(X1),s(host(esk2_0))),
    inference(rw,[status(thm)],[c_0_70,c_0_85]) ).

cnf(c_0_89,plain,
    ( index(ldr,host(X1)) != host(X1)
    | index(status,host(X1)) != norm
    | s(host(esk2_0)) != host(X1)
    | ~ setIn(X1,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_86]),c_0_71]),c_0_57])]) ).

cnf(c_0_90,negated_conjecture,
    ( host(esk5_0) = s(zero)
    | host(esk5_0) = host(esk2_0)
    | ~ leq(host(esk5_0),host(esk2_0)) ),
    inference(spm,[status(thm)],[c_0_67,c_0_87]) ).

cnf(c_0_91,plain,
    ( host(X1) = s(host(esk2_0))
    | leq(host(X1),host(esk2_0)) ),
    inference(spm,[status(thm)],[c_0_82,c_0_88]) ).

cnf(c_0_92,negated_conjecture,
    host(esk5_0) != s(host(esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_75]),c_0_76]),c_0_74])]) ).

fof(c_0_93,plain,
    ! [X8,X9,X10] :
      ( ~ leq(X8,X9)
      | ~ leq(X9,X10)
      | leq(X8,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_62])]) ).

cnf(c_0_94,negated_conjecture,
    ( host(esk5_0) = host(esk2_0)
    | host(esk5_0) = s(zero) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]) ).

cnf(c_0_95,plain,
    ( leq(X1,X2)
    | ~ leq(X3,X2)
    | ~ leq(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_96,negated_conjecture,
    ( host(X1) = host(esk3_0)
    | host(X1) = esk4_0
    | leq(host(esk2_0),host(X1))
    | setIn(host(X1),index(down,host(esk2_0))) ),
    inference(spm,[status(thm)],[c_0_53,c_0_68]) ).

cnf(c_0_97,negated_conjecture,
    ( index(ldr,s(zero)) = s(zero)
    | host(esk5_0) = host(esk2_0) ),
    inference(spm,[status(thm)],[c_0_75,c_0_94]) ).

cnf(c_0_98,plain,
    elec_1 != norm,
    inference(split_conjunct,[status(thm)],[axiom_07]) ).

cnf(c_0_99,negated_conjecture,
    ( index(status,s(zero)) = norm
    | host(esk5_0) = host(esk2_0) ),
    inference(spm,[status(thm)],[c_0_76,c_0_94]) ).

cnf(c_0_100,negated_conjecture,
    ( leq(X1,esk4_0)
    | ~ leq(X1,s(zero)) ),
    inference(spm,[status(thm)],[c_0_95,c_0_24]) ).

cnf(c_0_101,plain,
    ( leq(host(esk2_0),host(X1))
    | index(ldr,host(X1)) != host(X1)
    | index(status,host(X1)) != norm
    | ~ setIn(X1,alive) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_96]),c_0_57])]),c_0_65]),c_0_66]) ).

cnf(c_0_102,negated_conjecture,
    index(ldr,s(zero)) = s(zero),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_97]),c_0_17]),c_0_98]) ).

cnf(c_0_103,negated_conjecture,
    index(status,s(zero)) = norm,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_99]),c_0_17]),c_0_98]) ).

cnf(c_0_104,negated_conjecture,
    ~ leq(host(esk2_0),s(zero)),
    inference(spm,[status(thm)],[c_0_25,c_0_100]) ).

cnf(c_0_105,negated_conjecture,
    host(esk5_0) = host(esk2_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_94]),c_0_102]),c_0_103]),c_0_74])]),c_0_104]) ).

cnf(c_0_106,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_105]),c_0_17]),c_0_98]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV481+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 15 23:01:24 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.34/23.42  eprover: CPU time limit exceeded, terminating
% 0.34/23.45  eprover: CPU time limit exceeded, terminating
% 0.34/23.46  eprover: CPU time limit exceeded, terminating
% 0.34/23.48  eprover: CPU time limit exceeded, terminating
% 0.42/39.64  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.42/39.64  
% 0.42/39.64  # Failure: Resource limit exceeded (time)
% 0.42/39.64  # OLD status Res
% 0.42/39.64  # Preprocessing time       : 0.022 s
% 0.42/39.64  # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.42/39.64  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.42/39.64  # Preprocessing time       : 0.023 s
% 0.42/39.64  
% 0.42/39.64  # Proof found!
% 0.42/39.64  # SZS status Theorem
% 0.42/39.64  # SZS output start CNFRefutation
% See solution above
% 0.42/39.64  # Proof object total steps             : 107
% 0.42/39.64  # Proof object clause steps            : 82
% 0.42/39.64  # Proof object formula steps           : 25
% 0.42/39.64  # Proof object conjectures             : 54
% 0.42/39.64  # Proof object clause conjectures      : 51
% 0.42/39.64  # Proof object formula conjectures     : 3
% 0.42/39.64  # Proof object initial clauses used    : 31
% 0.42/39.64  # Proof object initial formulas used   : 9
% 0.42/39.64  # Proof object generating inferences   : 32
% 0.42/39.64  # Proof object simplifying inferences  : 66
% 0.42/39.64  # Training examples: 0 positive, 0 negative
% 0.42/39.64  # Parsed axioms                        : 67
% 0.42/39.64  # Removed by relevancy pruning/SinE    : 14
% 0.42/39.64  # Initial clauses                      : 111
% 0.42/39.64  # Removed in clause preprocessing      : 6
% 0.42/39.64  # Initial clauses in saturation        : 105
% 0.42/39.64  # Processed clauses                    : 11398
% 0.42/39.64  # ...of these trivial                  : 163
% 0.42/39.64  # ...subsumed                          : 8972
% 0.42/39.64  # ...remaining for further processing  : 2263
% 0.42/39.64  # Other redundant clauses eliminated   : 37
% 0.42/39.64  # Clauses deleted for lack of memory   : 0
% 0.42/39.64  # Backward-subsumed                    : 614
% 0.42/39.64  # Backward-rewritten                   : 364
% 0.42/39.64  # Generated clauses                    : 203292
% 0.42/39.64  # ...of the previous two non-trivial   : 163519
% 0.42/39.64  # Contextual simplify-reflections      : 6571
% 0.42/39.64  # Paramodulations                      : 203001
% 0.42/39.64  # Factorizations                       : 149
% 0.42/39.64  # Equation resolutions                 : 97
% 0.42/39.64  # Current number of processed clauses  : 1259
% 0.42/39.64  #    Positive orientable unit clauses  : 71
% 0.42/39.64  #    Positive unorientable unit clauses: 0
% 0.42/39.64  #    Negative unit clauses             : 105
% 0.42/39.64  #    Non-unit-clauses                  : 1083
% 0.42/39.64  # Current number of unprocessed clauses: 73559
% 0.42/39.64  # ...number of literals in the above   : 489431
% 0.42/39.64  # Current number of archived formulas  : 0
% 0.42/39.64  # Current number of archived clauses   : 993
% 0.42/39.64  # Clause-clause subsumption calls (NU) : 2225773
% 0.42/39.64  # Rec. Clause-clause subsumption calls : 791676
% 0.42/39.64  # Non-unit clause-clause subsumptions  : 11321
% 0.42/39.64  # Unit Clause-clause subsumption calls : 8642
% 0.42/39.64  # Rewrite failures with RHS unbound    : 0
% 0.42/39.64  # BW rewrite match attempts            : 197
% 0.42/39.64  # BW rewrite match successes           : 33
% 0.42/39.64  # Condensation attempts                : 0
% 0.42/39.64  # Condensation successes               : 0
% 0.42/39.64  # Termbank termtop insertions          : 3432232
% 0.42/39.64  
% 0.42/39.64  # -------------------------------------------------
% 0.42/39.64  # User time                : 16.067 s
% 0.42/39.64  # System time              : 0.080 s
% 0.42/39.64  # Total time               : 16.147 s
% 0.42/39.64  # Maximum resident set size: 75668 pages
% 0.42/46.45  eprover: CPU time limit exceeded, terminating
% 0.42/46.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.42/46.46  eprover: No such file or directory
% 0.42/46.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.42/46.47  eprover: No such file or directory
% 0.42/46.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.42/46.47  eprover: No such file or directory
% 0.42/46.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.42/46.48  eprover: No such file or directory
% 0.42/46.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.42/46.48  eprover: No such file or directory
% 0.42/46.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.42/46.49  eprover: No such file or directory
% 0.42/46.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.42/46.50  eprover: No such file or directory
% 0.42/46.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.42/46.50  eprover: No such file or directory
% 0.42/46.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.42/46.51  eprover: No such file or directory
% 0.42/46.51  eprover: CPU time limit exceeded, terminating
% 0.42/46.51  eprover: CPU time limit exceeded, terminating
% 0.42/46.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.42/46.51  eprover: No such file or directory
% 0.42/46.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.42/46.52  eprover: No such file or directory
% 0.42/46.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.42/46.53  eprover: No such file or directory
% 0.42/46.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.42/46.53  eprover: No such file or directory
% 0.42/46.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.42/46.53  eprover: No such file or directory
% 0.42/46.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.42/46.53  eprover: No such file or directory
% 0.42/46.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.42/46.53  eprover: No such file or directory
% 0.42/46.54  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.42/46.54  eprover: No such file or directory
% 0.42/46.54  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.42/46.54  eprover: No such file or directory
% 0.42/46.54  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.42/46.54  eprover: No such file or directory
% 0.42/46.54  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.42/46.54  eprover: No such file or directory
% 0.42/46.55  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.42/46.55  eprover: No such file or directory
% 0.42/46.55  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.42/46.55  eprover: No such file or directory
% 0.42/46.55  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.42/46.55  eprover: No such file or directory
% 0.42/46.55  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.42/46.55  eprover: No such file or directory
% 0.42/46.55  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.42/46.55  eprover: No such file or directory
% 0.42/46.56  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.42/46.56  eprover: No such file or directory
% 0.42/46.56  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.42/46.56  eprover: No such file or directory
% 0.42/46.57  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.42/46.57  eprover: No such file or directory
% 0.42/46.57  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.42/46.57  eprover: No such file or directory
% 0.42/46.58  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.42/46.58  eprover: No such file or directory
%------------------------------------------------------------------------------