TSTP Solution File: SWV481+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWV481+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 05:25:03 EDT 2024

% Result   : Theorem 238.89s 30.79s
% Output   : CNFRefutation 238.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   91 (  49 unt;   0 def)
%            Number of atoms       :  753 ( 345 equ)
%            Maximal formula atoms :  179 (   8 avg)
%            Number of connectives :  993 ( 331   ~; 264   |; 321   &)
%                                         (   4 <=>;  73  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   82 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   33 (  33 usr;  21 con; 0-7 aty)
%            Number of variables   :  309 (  38 sgn 242   !;   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/benchmark/theBenchmark.p',conj) ).

fof(axiom_41,axiom,
    ! [X5,X4] : q_nil != cons(X5,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_41) ).

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_39,axiom,
    ! [X4] :
      ( X4 = q_nil
      | X4 = cons(head(X4),tail(X4)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_39) ).

fof(axiom_36,axiom,
    ! [X5,X4] : tail(cons(X5,X4)) = X4,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_36) ).

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_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_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_07,axiom,
    elec_1 != norm,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_07) ).

fof(c_0_10,plain,
    ! [X5,X6,X12] :
      ( epred1_3(X12,X6,X5)
    <=> ( ! [X7,X14] :
            ( elem(m_Ldr(X14),queue(host(X7)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7,X14] :
            ( elem(m_Down(X14),queue(host(X7)))
           => host(X14) != host(X7) )
        & ! [X7,X14] :
            ( ( X14 != X7
              & host(X14) = host(X7) )
           => ( ~ setIn(X7,alive)
              | ~ setIn(X14,alive) ) )
        & ! [X7] :
            ( ( ( index(status,host(X7)) = elec_1
                | index(status,host(X7)) = elec_2 )
              & setIn(X7,alive) )
           => index(elid,host(X7)) = X7 )
        & ! [X7,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & setIn(host(X14),index(down,host(X7)))
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X14] :
            ( ( setIn(X14,alive)
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X14) )
           => ~ ( setIn(X7,alive)
                & setIn(host(X14),index(down,host(X7))) ) )
        & ! [X7,X15,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & elem(m_Down(X15),queue(host(X7)))
              & host(X14) = host(X15)
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X15,X14] :
            ( ( setIn(X14,alive)
              & host(X15) = host(X14)
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X14) )
           => ~ ( setIn(X7,alive)
                & elem(m_Down(X15),queue(host(X7))) ) )
        & ! [X7,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & index(ldr,host(X7)) = host(X7)
              & index(status,host(X7)) = norm
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X14) )
           => X14 = X7 )
        & ! [X7,X15,X14] :
            ( ( ~ leq(host(X15),host(X14))
              & setIn(X14,alive)
              & elem(m_Down(X15),queue(host(X14)))
              & host(X15) = host(X7) )
           => ~ ( setIn(X7,alive)
                & index(ldr,host(X7)) = host(X7)
                & index(status,host(X7)) = norm ) )
        & ! [X7,X16,X15,X14] :
            ( ( host(X15) != host(X7)
              & setIn(X7,alive)
              & setIn(X15,alive)
              & host(X16) = host(X7)
              & host(X14) = host(X15) )
           => ~ ( elem(m_Down(X14),queue(host(X7)))
                & elem(m_Down(X16),queue(host(X15))) ) )
        & ! [X7,X16,X15,X14] :
            ( ( host(X15) != host(X7)
              & setIn(X7,alive)
              & setIn(X15,alive)
              & host(X16) = host(X7)
              & host(X14) = host(X15) )
           => ~ ( elem(m_Down(X14),queue(host(X7)))
                & setIn(host(X16),index(down,host(X15))) ) )
        & ! [X7,X15,X14] :
            ( ( host(X14) != host(X15)
              & setIn(X14,alive)
              & elem(m_Down(X7),queue(host(X14)))
              & host(X15) = host(X7)
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X15) )
           => ~ ( setIn(X15,alive)
                & index(status,host(X15)) = norm
                & index(ldr,host(X15)) = host(X15) ) )
        & ! [X7,X15,X14] :
            ( ( host(X14) != host(X15)
              & setIn(X14,alive)
              & elem(m_Down(X7),queue(host(X14)))
              & host(X15) = host(X7)
              & index(status,host(X14)) = wait
              & host(index(elid,host(X14))) = host(X15) )
           => ~ ( setIn(X15,alive)
                & index(status,host(X15)) = norm
                & index(ldr,host(X15)) = host(X15) ) )
        & ! [X7,X16,X15,X14] :
            ( ( ! [X17] :
                  ( ( ~ leq(host(X14),X17)
                    & leq(s(zero),X17) )
                 => ( setIn(X17,index(down,host(X14)))
                    | X17 = host(X15) ) )
              & setIn(X7,alive)
              & leq(host(X7),host(X14))
              & elem(m_Down(X15),queue(host(X14)))
              & host(X16) = host(X14)
              & index(status,host(X7)) = elec_2
              & index(status,host(X14)) = elec_1 )
           => ~ elem(m_Ack(X7,X16),queue(host(X7))) )
        & ! [X7,X16,X15,X14] :
            ( ( ! [X17] :
                  ( ( ~ leq(host(X14),X17)
                    & leq(s(zero),X17) )
                 => ( setIn(X17,index(down,host(X14)))
                    | X17 = host(X15) ) )
              & setIn(X14,alive)
              & leq(nbr_proc,s(host(X14)))
              & elem(m_Down(X15),queue(host(X14)))
              & elem(m_Down(X16),queue(host(X14)))
              & host(X16) = s(host(X14))
              & index(status,host(X14)) = elec_1 )
           => ~ ( setIn(X7,alive)
                & index(ldr,host(X7)) = host(X7)
                & index(status,host(X7)) = norm ) )
        & queue(host(X5)) = cons(m_Down(X6),X12) ) ),
    introduced(definition) ).

fof(c_0_11,negated_conjecture,
    ~ ! [X12,X13,X5,X6] :
        ( epred1_3(X12,X6,X5)
       => ( setIn(X5,alive)
         => ( ~ leq(host(X5),host(X6))
           => ( ~ ( ( index(ldr,host(X5)) = host(X6)
                    & index(status,host(X5)) = norm )
                  | ( index(status,host(X5)) = wait
                    & host(X6) = host(index(elid,host(X5))) ) )
             => ( ~ ( ! [X7] :
                        ( ( ~ leq(host(X5),X7)
                          & leq(s(zero),X7) )
                       => ( setIn(X7,index(down,host(X5)))
                          | X7 = host(X6) ) )
                    & index(status,host(X5)) = elec_1 )
               => ! [X7,X18,X19,X20] :
                    ( host(X5) = host(X20)
                   => ( ( ! [X17] :
                            ( ( ~ leq(host(X20),X17)
                              & leq(s(zero),X17) )
                           => ( setIn(X17,index(down,host(X5)))
                              | X17 = host(X6)
                              | X17 = host(X19) ) )
                        & setIn(X20,alive)
                        & elem(m_Down(X18),X12)
                        & elem(m_Down(X19),X12)
                        & leq(nbr_proc,s(host(X20)))
                        & host(X18) = s(host(X20))
                        & index(status,host(X20)) = elec_1 )
                     => ~ ( setIn(X7,alive)
                          & index(ldr,host(X7)) = host(X7)
                          & index(status,host(X7)) = norm ) ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]),c_0_10]) ).

fof(c_0_12,plain,
    ! [X5,X6,X12] :
      ( epred1_3(X12,X6,X5)
     => ( ! [X7,X14] :
            ( elem(m_Ldr(X14),queue(host(X7)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7,X14] :
            ( elem(m_Down(X14),queue(host(X7)))
           => host(X14) != host(X7) )
        & ! [X7,X14] :
            ( ( X14 != X7
              & host(X14) = host(X7) )
           => ( ~ setIn(X7,alive)
              | ~ setIn(X14,alive) ) )
        & ! [X7] :
            ( ( ( index(status,host(X7)) = elec_1
                | index(status,host(X7)) = elec_2 )
              & setIn(X7,alive) )
           => index(elid,host(X7)) = X7 )
        & ! [X7,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & setIn(host(X14),index(down,host(X7)))
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X14] :
            ( ( setIn(X14,alive)
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X14) )
           => ~ ( setIn(X7,alive)
                & setIn(host(X14),index(down,host(X7))) ) )
        & ! [X7,X15,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & elem(m_Down(X15),queue(host(X7)))
              & host(X14) = host(X15)
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X15,X14] :
            ( ( setIn(X14,alive)
              & host(X15) = host(X14)
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X14) )
           => ~ ( setIn(X7,alive)
                & elem(m_Down(X15),queue(host(X7))) ) )
        & ! [X7,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & index(ldr,host(X7)) = host(X7)
              & index(status,host(X7)) = norm
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X14) )
           => X14 = X7 )
        & ! [X7,X15,X14] :
            ( ( ~ leq(host(X15),host(X14))
              & setIn(X14,alive)
              & elem(m_Down(X15),queue(host(X14)))
              & host(X15) = host(X7) )
           => ~ ( setIn(X7,alive)
                & index(ldr,host(X7)) = host(X7)
                & index(status,host(X7)) = norm ) )
        & ! [X7,X16,X15,X14] :
            ( ( host(X15) != host(X7)
              & setIn(X7,alive)
              & setIn(X15,alive)
              & host(X16) = host(X7)
              & host(X14) = host(X15) )
           => ~ ( elem(m_Down(X14),queue(host(X7)))
                & elem(m_Down(X16),queue(host(X15))) ) )
        & ! [X7,X16,X15,X14] :
            ( ( host(X15) != host(X7)
              & setIn(X7,alive)
              & setIn(X15,alive)
              & host(X16) = host(X7)
              & host(X14) = host(X15) )
           => ~ ( elem(m_Down(X14),queue(host(X7)))
                & setIn(host(X16),index(down,host(X15))) ) )
        & ! [X7,X15,X14] :
            ( ( host(X14) != host(X15)
              & setIn(X14,alive)
              & elem(m_Down(X7),queue(host(X14)))
              & host(X15) = host(X7)
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X15) )
           => ~ ( setIn(X15,alive)
                & index(status,host(X15)) = norm
                & index(ldr,host(X15)) = host(X15) ) )
        & ! [X7,X15,X14] :
            ( ( host(X14) != host(X15)
              & setIn(X14,alive)
              & elem(m_Down(X7),queue(host(X14)))
              & host(X15) = host(X7)
              & index(status,host(X14)) = wait
              & host(index(elid,host(X14))) = host(X15) )
           => ~ ( setIn(X15,alive)
                & index(status,host(X15)) = norm
                & index(ldr,host(X15)) = host(X15) ) )
        & ! [X7,X16,X15,X14] :
            ( ( ! [X17] :
                  ( ( ~ leq(host(X14),X17)
                    & leq(s(zero),X17) )
                 => ( setIn(X17,index(down,host(X14)))
                    | X17 = host(X15) ) )
              & setIn(X7,alive)
              & leq(host(X7),host(X14))
              & elem(m_Down(X15),queue(host(X14)))
              & host(X16) = host(X14)
              & index(status,host(X7)) = elec_2
              & index(status,host(X14)) = elec_1 )
           => ~ elem(m_Ack(X7,X16),queue(host(X7))) )
        & ! [X7,X16,X15,X14] :
            ( ( ! [X17] :
                  ( ( ~ leq(host(X14),X17)
                    & leq(s(zero),X17) )
                 => ( setIn(X17,index(down,host(X14)))
                    | X17 = host(X15) ) )
              & setIn(X14,alive)
              & leq(nbr_proc,s(host(X14)))
              & elem(m_Down(X15),queue(host(X14)))
              & elem(m_Down(X16),queue(host(X14)))
              & host(X16) = s(host(X14))
              & index(status,host(X14)) = elec_1 )
           => ~ ( setIn(X7,alive)
                & index(ldr,host(X7)) = host(X7)
                & index(status,host(X7)) = norm ) )
        & queue(host(X5)) = cons(m_Down(X6),X12) ) ),
    inference(split_equiv,[status(thm)],[c_0_10]) ).

fof(c_0_13,negated_conjecture,
    ! [X158] :
      ( epred1_3(esk5_0,esk7_0,esk6_0)
      & setIn(esk6_0,alive)
      & ~ leq(host(esk6_0),host(esk7_0))
      & ( index(ldr,host(esk6_0)) != host(esk7_0)
        | index(status,host(esk6_0)) != norm )
      & ( index(status,host(esk6_0)) != wait
        | host(esk7_0) != host(index(elid,host(esk6_0))) )
      & ( ~ leq(host(esk6_0),esk8_0)
        | index(status,host(esk6_0)) != elec_1 )
      & ( leq(s(zero),esk8_0)
        | index(status,host(esk6_0)) != elec_1 )
      & ( ~ setIn(esk8_0,index(down,host(esk6_0)))
        | index(status,host(esk6_0)) != elec_1 )
      & ( esk8_0 != host(esk7_0)
        | index(status,host(esk6_0)) != elec_1 )
      & host(esk6_0) = host(esk12_0)
      & ( leq(host(esk12_0),X158)
        | ~ leq(s(zero),X158)
        | setIn(X158,index(down,host(esk6_0)))
        | X158 = host(esk7_0)
        | X158 = host(esk11_0) )
      & setIn(esk12_0,alive)
      & elem(m_Down(esk10_0),esk5_0)
      & elem(m_Down(esk11_0),esk5_0)
      & leq(nbr_proc,s(host(esk12_0)))
      & host(esk10_0) = s(host(esk12_0))
      & index(status,host(esk12_0)) = elec_1
      & setIn(esk9_0,alive)
      & index(ldr,host(esk9_0)) = host(esk9_0)
      & index(status,host(esk9_0)) = norm ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_11])])])])])])]) ).

fof(c_0_14,plain,
    ! [X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X203,X204,X205,X206] :
      ( ( ~ elem(m_Ldr(X163),queue(host(X162)))
        | ~ leq(host(X162),host(X163))
        | ~ epred1_3(X161,X160,X159) )
      & ( ~ elem(m_Down(X165),queue(host(X164)))
        | host(X165) != host(X164)
        | ~ epred1_3(X161,X160,X159) )
      & ( X167 = X166
        | host(X167) != host(X166)
        | ~ setIn(X166,alive)
        | ~ setIn(X167,alive)
        | ~ epred1_3(X161,X160,X159) )
      & ( index(status,host(X168)) != elec_1
        | ~ setIn(X168,alive)
        | index(elid,host(X168)) = X168
        | ~ epred1_3(X161,X160,X159) )
      & ( index(status,host(X168)) != elec_2
        | ~ setIn(X168,alive)
        | index(elid,host(X168)) = X168
        | ~ epred1_3(X161,X160,X159) )
      & ( ~ setIn(X169,alive)
        | ~ setIn(X170,alive)
        | ~ setIn(host(X170),index(down,host(X169)))
        | index(status,host(X170)) != elec_2
        | leq(index(pendack,host(X170)),host(X169))
        | ~ epred1_3(X161,X160,X159) )
      & ( ~ setIn(X172,alive)
        | index(status,host(X172)) != norm
        | index(ldr,host(X172)) != host(X172)
        | ~ setIn(X171,alive)
        | ~ setIn(host(X172),index(down,host(X171)))
        | ~ epred1_3(X161,X160,X159) )
      & ( ~ setIn(X173,alive)
        | ~ setIn(X175,alive)
        | ~ elem(m_Down(X174),queue(host(X173)))
        | host(X175) != host(X174)
        | index(status,host(X175)) != elec_2
        | leq(index(pendack,host(X175)),host(X173))
        | ~ epred1_3(X161,X160,X159) )
      & ( ~ setIn(X178,alive)
        | host(X177) != host(X178)
        | index(status,host(X178)) != norm
        | index(ldr,host(X178)) != host(X178)
        | ~ setIn(X176,alive)
        | ~ elem(m_Down(X177),queue(host(X176)))
        | ~ epred1_3(X161,X160,X159) )
      & ( ~ setIn(X179,alive)
        | ~ setIn(X180,alive)
        | index(ldr,host(X179)) != host(X179)
        | index(status,host(X179)) != norm
        | index(status,host(X180)) != norm
        | index(ldr,host(X180)) != host(X180)
        | X180 = X179
        | ~ epred1_3(X161,X160,X159) )
      & ( leq(host(X182),host(X183))
        | ~ setIn(X183,alive)
        | ~ elem(m_Down(X182),queue(host(X183)))
        | host(X182) != host(X181)
        | ~ setIn(X181,alive)
        | index(ldr,host(X181)) != host(X181)
        | index(status,host(X181)) != norm
        | ~ epred1_3(X161,X160,X159) )
      & ( host(X186) = host(X184)
        | ~ setIn(X184,alive)
        | ~ setIn(X186,alive)
        | host(X185) != host(X184)
        | host(X187) != host(X186)
        | ~ elem(m_Down(X187),queue(host(X184)))
        | ~ elem(m_Down(X185),queue(host(X186)))
        | ~ epred1_3(X161,X160,X159) )
      & ( host(X190) = host(X188)
        | ~ setIn(X188,alive)
        | ~ setIn(X190,alive)
        | host(X189) != host(X188)
        | host(X191) != host(X190)
        | ~ elem(m_Down(X191),queue(host(X188)))
        | ~ setIn(host(X189),index(down,host(X190)))
        | ~ epred1_3(X161,X160,X159) )
      & ( host(X194) = host(X193)
        | ~ setIn(X194,alive)
        | ~ elem(m_Down(X192),queue(host(X194)))
        | host(X193) != host(X192)
        | index(status,host(X194)) != norm
        | index(ldr,host(X194)) != host(X193)
        | ~ setIn(X193,alive)
        | index(status,host(X193)) != norm
        | index(ldr,host(X193)) != host(X193)
        | ~ epred1_3(X161,X160,X159) )
      & ( host(X197) = host(X196)
        | ~ setIn(X197,alive)
        | ~ elem(m_Down(X195),queue(host(X197)))
        | host(X196) != host(X195)
        | index(status,host(X197)) != wait
        | host(index(elid,host(X197))) != host(X196)
        | ~ setIn(X196,alive)
        | index(status,host(X196)) != norm
        | index(ldr,host(X196)) != host(X196)
        | ~ epred1_3(X161,X160,X159) )
      & ( ~ leq(host(X201),esk13_7(X159,X160,X161,X198,X199,X200,X201))
        | ~ setIn(X198,alive)
        | ~ leq(host(X198),host(X201))
        | ~ elem(m_Down(X200),queue(host(X201)))
        | host(X199) != host(X201)
        | index(status,host(X198)) != elec_2
        | index(status,host(X201)) != elec_1
        | ~ elem(m_Ack(X198,X199),queue(host(X198)))
        | ~ epred1_3(X161,X160,X159) )
      & ( leq(s(zero),esk13_7(X159,X160,X161,X198,X199,X200,X201))
        | ~ setIn(X198,alive)
        | ~ leq(host(X198),host(X201))
        | ~ elem(m_Down(X200),queue(host(X201)))
        | host(X199) != host(X201)
        | index(status,host(X198)) != elec_2
        | index(status,host(X201)) != elec_1
        | ~ elem(m_Ack(X198,X199),queue(host(X198)))
        | ~ epred1_3(X161,X160,X159) )
      & ( ~ setIn(esk13_7(X159,X160,X161,X198,X199,X200,X201),index(down,host(X201)))
        | ~ setIn(X198,alive)
        | ~ leq(host(X198),host(X201))
        | ~ elem(m_Down(X200),queue(host(X201)))
        | host(X199) != host(X201)
        | index(status,host(X198)) != elec_2
        | index(status,host(X201)) != elec_1
        | ~ elem(m_Ack(X198,X199),queue(host(X198)))
        | ~ epred1_3(X161,X160,X159) )
      & ( esk13_7(X159,X160,X161,X198,X199,X200,X201) != host(X200)
        | ~ setIn(X198,alive)
        | ~ leq(host(X198),host(X201))
        | ~ elem(m_Down(X200),queue(host(X201)))
        | host(X199) != host(X201)
        | index(status,host(X198)) != elec_2
        | index(status,host(X201)) != elec_1
        | ~ elem(m_Ack(X198,X199),queue(host(X198)))
        | ~ epred1_3(X161,X160,X159) )
      & ( ~ leq(host(X206),esk14_7(X159,X160,X161,X203,X204,X205,X206))
        | ~ setIn(X206,alive)
        | ~ leq(nbr_proc,s(host(X206)))
        | ~ elem(m_Down(X205),queue(host(X206)))
        | ~ elem(m_Down(X204),queue(host(X206)))
        | host(X204) != s(host(X206))
        | index(status,host(X206)) != elec_1
        | ~ setIn(X203,alive)
        | index(ldr,host(X203)) != host(X203)
        | index(status,host(X203)) != norm
        | ~ epred1_3(X161,X160,X159) )
      & ( leq(s(zero),esk14_7(X159,X160,X161,X203,X204,X205,X206))
        | ~ setIn(X206,alive)
        | ~ leq(nbr_proc,s(host(X206)))
        | ~ elem(m_Down(X205),queue(host(X206)))
        | ~ elem(m_Down(X204),queue(host(X206)))
        | host(X204) != s(host(X206))
        | index(status,host(X206)) != elec_1
        | ~ setIn(X203,alive)
        | index(ldr,host(X203)) != host(X203)
        | index(status,host(X203)) != norm
        | ~ epred1_3(X161,X160,X159) )
      & ( ~ setIn(esk14_7(X159,X160,X161,X203,X204,X205,X206),index(down,host(X206)))
        | ~ setIn(X206,alive)
        | ~ leq(nbr_proc,s(host(X206)))
        | ~ elem(m_Down(X205),queue(host(X206)))
        | ~ elem(m_Down(X204),queue(host(X206)))
        | host(X204) != s(host(X206))
        | index(status,host(X206)) != elec_1
        | ~ setIn(X203,alive)
        | index(ldr,host(X203)) != host(X203)
        | index(status,host(X203)) != norm
        | ~ epred1_3(X161,X160,X159) )
      & ( esk14_7(X159,X160,X161,X203,X204,X205,X206) != host(X205)
        | ~ setIn(X206,alive)
        | ~ leq(nbr_proc,s(host(X206)))
        | ~ elem(m_Down(X205),queue(host(X206)))
        | ~ elem(m_Down(X204),queue(host(X206)))
        | host(X204) != s(host(X206))
        | index(status,host(X206)) != elec_1
        | ~ setIn(X203,alive)
        | index(ldr,host(X203)) != host(X203)
        | index(status,host(X203)) != norm
        | ~ epred1_3(X161,X160,X159) )
      & ( queue(host(X159)) = cons(m_Down(X160),X161)
        | ~ epred1_3(X161,X160,X159) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])])]) ).

fof(c_0_15,plain,
    ! [X5,X4] : q_nil != cons(X5,X4),
    inference(fof_simplification,[status(thm)],[axiom_41]) ).

cnf(c_0_16,negated_conjecture,
    index(status,host(esk12_0)) = elec_1,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    host(esk6_0) = host(esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_18,plain,
    ! [X101,X102,X103] :
      ( ( ~ elem(X101,cons(X102,X103))
        | X101 = X102
        | elem(X101,X103) )
      & ( X101 != X102
        | elem(X101,cons(X102,X103)) )
      & ( ~ elem(X101,X103)
        | elem(X101,cons(X102,X103)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_46])])])]) ).

fof(c_0_19,plain,
    ! [X90] :
      ( X90 = q_nil
      | X90 = cons(head(X90),tail(X90)) ),
    inference(variable_rename,[status(thm)],[axiom_39]) ).

fof(c_0_20,plain,
    ! [X84,X85] : tail(cons(X84,X85)) = X85,
    inference(variable_rename,[status(thm)],[axiom_36]) ).

cnf(c_0_21,plain,
    ( queue(host(X1)) = cons(m_Down(X2),X3)
    | ~ epred1_3(X3,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,negated_conjecture,
    epred1_3(esk5_0,esk7_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_23,plain,
    ! [X92,X93] : q_nil != cons(X92,X93),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_15])]) ).

cnf(c_0_24,negated_conjecture,
    ( leq(host(esk12_0),X1)
    | setIn(X1,index(down,host(esk6_0)))
    | X1 = host(esk7_0)
    | X1 = host(esk11_0)
    | ~ leq(s(zero),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_25,negated_conjecture,
    ( leq(s(zero),esk8_0)
    | index(status,host(esk6_0)) != elec_1 ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_26,negated_conjecture,
    index(status,host(esk6_0)) = elec_1,
    inference(rw,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ leq(host(esk6_0),esk8_0)
    | index(status,host(esk6_0)) != elec_1 ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_28,negated_conjecture,
    ( ~ setIn(esk8_0,index(down,host(esk6_0)))
    | index(status,host(esk6_0)) != elec_1 ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_29,negated_conjecture,
    ( esk8_0 != host(esk7_0)
    | index(status,host(esk6_0)) != elec_1 ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_30,plain,
    ( elem(X1,cons(X3,X2))
    | ~ elem(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_31,plain,
    ( X1 = q_nil
    | X1 = cons(head(X1),tail(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_32,plain,
    tail(cons(X1,X2)) = X2,
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_33,negated_conjecture,
    cons(m_Down(esk7_0),esk5_0) = queue(host(esk6_0)),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_34,plain,
    q_nil != cons(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_35,negated_conjecture,
    ( X1 = host(esk11_0)
    | X1 = host(esk7_0)
    | leq(host(esk6_0),X1)
    | setIn(X1,index(down,host(esk6_0)))
    | ~ leq(s(zero),X1) ),
    inference(rw,[status(thm)],[c_0_24,c_0_17]) ).

cnf(c_0_36,negated_conjecture,
    leq(s(zero),esk8_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).

cnf(c_0_37,negated_conjecture,
    ~ leq(host(esk6_0),esk8_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_26])]) ).

cnf(c_0_38,negated_conjecture,
    ~ setIn(esk8_0,index(down,host(esk6_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_26])]) ).

cnf(c_0_39,negated_conjecture,
    esk8_0 != host(esk7_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_26])]) ).

cnf(c_0_40,plain,
    ( X1 = q_nil
    | elem(X2,X1)
    | ~ elem(X2,tail(X1)) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_41,negated_conjecture,
    tail(queue(host(esk6_0))) = esk5_0,
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_42,negated_conjecture,
    q_nil != queue(host(esk6_0)),
    inference(spm,[status(thm)],[c_0_34,c_0_33]) ).

cnf(c_0_43,plain,
    ( elem(X1,cons(X2,X3))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_44,negated_conjecture,
    host(esk11_0) = esk8_0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38]),c_0_39]) ).

fof(c_0_45,plain,
    ! [X25] : leq(s(zero),host(X25)),
    inference(variable_rename,[status(thm)],[axiom_02]) ).

cnf(c_0_46,negated_conjecture,
    ( elem(X1,queue(host(esk6_0)))
    | ~ elem(X1,esk5_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).

cnf(c_0_47,negated_conjecture,
    elem(m_Down(esk11_0),esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_48,plain,
    elem(X1,cons(X1,X2)),
    inference(er,[status(thm)],[c_0_43]) ).

cnf(c_0_49,negated_conjecture,
    ( X1 = host(esk7_0)
    | X1 = esk8_0
    | leq(host(esk6_0),X1)
    | setIn(X1,index(down,host(esk6_0)))
    | ~ leq(s(zero),X1) ),
    inference(rw,[status(thm)],[c_0_35,c_0_44]) ).

cnf(c_0_50,plain,
    leq(s(zero),host(X1)),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_51,plain,
    ( ~ setIn(X1,alive)
    | host(X2) != host(X1)
    | index(status,host(X1)) != norm
    | index(ldr,host(X1)) != host(X1)
    | ~ setIn(X3,alive)
    | ~ elem(m_Down(X2),queue(host(X3)))
    | ~ epred1_3(X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_52,negated_conjecture,
    elem(m_Down(esk11_0),queue(host(esk6_0))),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_53,negated_conjecture,
    setIn(esk6_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_54,negated_conjecture,
    elem(m_Down(esk7_0),queue(host(esk6_0))),
    inference(spm,[status(thm)],[c_0_48,c_0_33]) ).

fof(c_0_55,plain,
    ! [X26] : leq(host(X26),nbr_proc),
    inference(variable_rename,[status(thm)],[axiom_04]) ).

cnf(c_0_56,negated_conjecture,
    host(esk10_0) = s(host(esk12_0)),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_57,plain,
    ( ~ setIn(X1,alive)
    | index(status,host(X1)) != norm
    | index(ldr,host(X1)) != host(X1)
    | ~ setIn(X2,alive)
    | ~ setIn(host(X1),index(down,host(X2)))
    | ~ epred1_3(X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_58,negated_conjecture,
    ( host(X1) = host(esk7_0)
    | host(X1) = esk8_0
    | leq(host(esk6_0),host(X1))
    | setIn(host(X1),index(down,host(esk6_0))) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_59,plain,
    ( index(ldr,host(X1)) != host(X1)
    | index(status,host(X1)) != norm
    | host(X1) != esk8_0
    | ~ epred1_3(X2,X3,X4)
    | ~ setIn(X1,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_44]),c_0_53])]) ).

cnf(c_0_60,plain,
    ( index(ldr,host(X1)) != host(X1)
    | index(status,host(X1)) != norm
    | host(X1) != host(esk7_0)
    | ~ epred1_3(X2,X3,X4)
    | ~ setIn(X1,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_54]),c_0_53])]) ).

fof(c_0_61,plain,
    ! [X140,X141] :
      ( ( ~ leq(X140,X141)
        | ~ leq(X141,X140)
        | X140 = X141 )
      & ( leq(X140,X141)
        | X140 != X141 )
      & ( leq(X141,X140)
        | X140 != X141 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])])]) ).

cnf(c_0_62,plain,
    leq(host(X1),nbr_proc),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_63,negated_conjecture,
    host(esk10_0) = s(host(esk6_0)),
    inference(rw,[status(thm)],[c_0_56,c_0_17]) ).

cnf(c_0_64,negated_conjecture,
    leq(nbr_proc,s(host(esk12_0))),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_65,plain,
    ( leq(host(esk6_0),host(X1))
    | index(ldr,host(X1)) != host(X1)
    | index(status,host(X1)) != norm
    | ~ epred1_3(X2,X3,X4)
    | ~ 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_57,c_0_58]),c_0_53])]),c_0_59]),c_0_60]) ).

cnf(c_0_66,negated_conjecture,
    index(ldr,host(esk9_0)) = host(esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_67,negated_conjecture,
    index(status,host(esk9_0)) = norm,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_68,negated_conjecture,
    setIn(esk9_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_69,plain,
    ( X1 = X2
    | ~ leq(X1,X2)
    | ~ leq(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_70,negated_conjecture,
    leq(s(host(esk6_0)),nbr_proc),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_71,negated_conjecture,
    leq(nbr_proc,s(host(esk6_0))),
    inference(rw,[status(thm)],[c_0_64,c_0_17]) ).

cnf(c_0_72,negated_conjecture,
    elem(m_Down(esk10_0),esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_73,negated_conjecture,
    ( leq(host(esk6_0),host(esk9_0))
    | ~ epred1_3(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_68])]) ).

fof(c_0_74,plain,
    ! [X147,X148] :
      ( ( ~ leq(X147,s(X148))
        | X147 = s(X148)
        | leq(X147,X148) )
      & ( X147 != s(X148)
        | leq(X147,s(X148)) )
      & ( ~ leq(X147,X148)
        | leq(X147,s(X148)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_64])])])]) ).

cnf(c_0_75,negated_conjecture,
    nbr_proc = s(host(esk6_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71])]) ).

cnf(c_0_76,negated_conjecture,
    elem(m_Down(esk10_0),queue(host(esk6_0))),
    inference(spm,[status(thm)],[c_0_46,c_0_72]) ).

cnf(c_0_77,negated_conjecture,
    leq(host(esk6_0),host(esk9_0)),
    inference(spm,[status(thm)],[c_0_73,c_0_22]) ).

cnf(c_0_78,plain,
    ( X1 = s(X2)
    | leq(X1,X2)
    | ~ leq(X1,s(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_79,plain,
    leq(host(X1),s(host(esk6_0))),
    inference(rw,[status(thm)],[c_0_62,c_0_75]) ).

cnf(c_0_80,plain,
    ( index(ldr,host(X1)) != host(X1)
    | index(status,host(X1)) != norm
    | host(X1) != s(host(esk6_0))
    | ~ epred1_3(X2,X3,X4)
    | ~ setIn(X1,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_76]),c_0_63]),c_0_53])]) ).

cnf(c_0_81,negated_conjecture,
    ( host(esk9_0) = host(esk6_0)
    | ~ leq(host(esk9_0),host(esk6_0)) ),
    inference(spm,[status(thm)],[c_0_69,c_0_77]) ).

cnf(c_0_82,plain,
    ( host(X1) = s(host(esk6_0))
    | leq(host(X1),host(esk6_0)) ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_83,negated_conjecture,
    ( host(esk9_0) != s(host(esk6_0))
    | ~ epred1_3(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_66]),c_0_67]),c_0_68])]) ).

cnf(c_0_84,negated_conjecture,
    ( host(esk9_0) = s(host(esk6_0))
    | host(esk9_0) = host(esk6_0) ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

fof(c_0_85,plain,
    elec_1 != norm,
    inference(fof_simplification,[status(thm)],[axiom_07]) ).

cnf(c_0_86,negated_conjecture,
    ( host(esk9_0) = host(esk6_0)
    | ~ epred1_3(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

fof(c_0_87,plain,
    elec_1 != norm,
    inference(fof_nnf,[status(thm)],[c_0_85]) ).

cnf(c_0_88,negated_conjecture,
    host(esk9_0) = host(esk6_0),
    inference(spm,[status(thm)],[c_0_86,c_0_22]) ).

cnf(c_0_89,plain,
    elec_1 != norm,
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_90,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_88]),c_0_26]),c_0_89]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SWV481+1 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.14  % Command    : run_E %s %d THM
% 0.13/0.36  % Computer : n005.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Sun May 19 08:52:23 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 238.89/30.79  # Version: 3.1.0
% 238.89/30.79  # Preprocessing class: FSLSSMSMSSSNFFN.
% 238.89/30.79  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 238.89/30.79  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 238.89/30.79  # Starting new_bool_3 with 300s (1) cores
% 238.89/30.79  # Starting new_bool_1 with 300s (1) cores
% 238.89/30.79  # Starting sh5l with 300s (1) cores
% 238.89/30.79  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 23384 completed with status 0
% 238.89/30.79  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 238.89/30.79  # Preprocessing class: FSLSSMSMSSSNFFN.
% 238.89/30.79  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 238.89/30.79  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 238.89/30.79  # No SInE strategy applied
% 238.89/30.79  # Search class: FGHSM-FFLM31-MFFFFFNN
% 238.89/30.79  # Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 238.89/30.79  # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 541s (1) cores
% 238.89/30.79  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 238.89/30.79  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 136s (1) cores
% 238.89/30.79  # Starting G-E--_200_B07_F1_AE_CS_SP_PI_S0Y with 136s (1) cores
% 238.89/30.79  # Starting U----_213g_00_B10_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 238.89/30.79  # G-E--_200_B07_F1_AE_CS_SP_PI_S0Y with pid 23392 completed with status 0
% 238.89/30.79  # Result found by G-E--_200_B07_F1_AE_CS_SP_PI_S0Y
% 238.89/30.79  # Preprocessing class: FSLSSMSMSSSNFFN.
% 238.89/30.79  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 238.89/30.79  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 238.89/30.79  # No SInE strategy applied
% 238.89/30.79  # Search class: FGHSM-FFLM31-MFFFFFNN
% 238.89/30.79  # Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 238.89/30.79  # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 541s (1) cores
% 238.89/30.79  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 238.89/30.79  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 136s (1) cores
% 238.89/30.79  # Starting G-E--_200_B07_F1_AE_CS_SP_PI_S0Y with 136s (1) cores
% 238.89/30.79  # Preprocessing time       : 0.003 s
% 238.89/30.79  
% 238.89/30.79  # Proof found!
% 238.89/30.79  # SZS status Theorem
% 238.89/30.79  # SZS output start CNFRefutation
% See solution above
% 238.89/30.79  # Parsed axioms                        : 67
% 238.89/30.79  # Removed by relevancy pruning/SinE    : 0
% 238.89/30.79  # Initial clauses                      : 140
% 238.89/30.79  # Removed in clause preprocessing      : 6
% 238.89/30.79  # Initial clauses in saturation        : 134
% 238.89/30.79  # Processed clauses                    : 28452
% 238.89/30.79  # ...of these trivial                  : 554
% 238.89/30.79  # ...subsumed                          : 23409
% 238.89/30.79  # ...remaining for further processing  : 4489
% 238.89/30.79  # Other redundant clauses eliminated   : 281
% 238.89/30.79  # Clauses deleted for lack of memory   : 0
% 238.89/30.79  # Backward-subsumed                    : 557
% 238.89/30.79  # Backward-rewritten                   : 107
% 238.89/30.79  # Generated clauses                    : 739054
% 238.89/30.79  # ...of the previous two non-redundant : 577615
% 238.89/30.79  # ...aggressively subsumed             : 0
% 238.89/30.79  # Contextual simplify-reflections      : 114
% 238.89/30.79  # Paramodulations                      : 738349
% 238.89/30.79  # Factorizations                       : 117
% 238.89/30.79  # NegExts                              : 0
% 238.89/30.79  # Equation resolutions                 : 587
% 238.89/30.79  # Disequality decompositions           : 0
% 238.89/30.79  # Total rewrite steps                  : 202437
% 238.89/30.79  # ...of those cached                   : 200462
% 238.89/30.79  # Propositional unsat checks           : 0
% 238.89/30.79  #    Propositional check models        : 0
% 238.89/30.79  #    Propositional check unsatisfiable : 0
% 238.89/30.79  #    Propositional clauses             : 0
% 238.89/30.79  #    Propositional clauses after purity: 0
% 238.89/30.79  #    Propositional unsat core size     : 0
% 238.89/30.79  #    Propositional preprocessing time  : 0.000
% 238.89/30.79  #    Propositional encoding time       : 0.000
% 238.89/30.79  #    Propositional solver time         : 0.000
% 238.89/30.79  #    Success case prop preproc time    : 0.000
% 238.89/30.79  #    Success case prop encoding time   : 0.000
% 238.89/30.79  #    Success case prop solver time     : 0.000
% 238.89/30.79  # Current number of processed clauses  : 3820
% 238.89/30.79  #    Positive orientable unit clauses  : 141
% 238.89/30.79  #    Positive unorientable unit clauses: 0
% 238.89/30.79  #    Negative unit clauses             : 187
% 238.89/30.79  #    Non-unit-clauses                  : 3492
% 238.89/30.79  # Current number of unprocessed clauses: 543106
% 238.89/30.79  # ...number of literals in the above   : 3367959
% 238.89/30.79  # Current number of archived formulas  : 0
% 238.89/30.79  # Current number of archived clauses   : 665
% 238.89/30.79  # Clause-clause subsumption calls (NU) : 8881579
% 238.89/30.79  # Rec. Clause-clause subsumption calls : 2124153
% 238.89/30.79  # Non-unit clause-clause subsumptions  : 8245
% 238.89/30.79  # Unit Clause-clause subsumption calls : 88390
% 238.89/30.79  # Rewrite failures with RHS unbound    : 0
% 238.89/30.79  # BW rewrite match attempts            : 1517
% 238.89/30.79  # BW rewrite match successes           : 42
% 238.89/30.79  # Condensation attempts                : 0
% 238.89/30.79  # Condensation successes               : 0
% 238.89/30.79  # Termbank termtop insertions          : 16361028
% 238.89/30.79  # Search garbage collected termcells   : 2455
% 238.89/30.79  
% 238.89/30.79  # -------------------------------------------------
% 238.89/30.79  # User time                : 29.197 s
% 238.89/30.79  # System time              : 0.441 s
% 238.89/30.79  # Total time               : 29.638 s
% 238.89/30.79  # Maximum resident set size: 2396 pages
% 238.89/30.79  
% 238.89/30.79  # -------------------------------------------------
% 238.89/30.79  # User time                : 145.190 s
% 238.89/30.79  # System time              : 2.946 s
% 238.89/30.79  # Total time               : 148.136 s
% 238.89/30.79  # Maximum resident set size: 1816 pages
% 238.89/30.79  % E---3.1 exiting
% 238.89/30.79  % E exiting
%------------------------------------------------------------------------------