TSTP Solution File: SWV481+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWV481+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n002.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 : Thu Aug 31 21:41:28 EDT 2023

% Result   : Theorem 44.73s 44.88s
% Output   : CNFRefutation 44.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   61
% Syntax   : Number of formulae    :  131 (  36 unt;  53 typ;   0 def)
%            Number of atoms       :  744 ( 339 equ)
%            Maximal formula atoms :  179 (   9 avg)
%            Number of connectives :  999 ( 333   ~; 268   |; 321   &)
%                                         (   4 <=>;  73  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   82 (   6 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   52 (  29   >;  23   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   47 (  47 usr;  24 con; 0-7 aty)
%            Number of variables   :  291 (  37 sgn; 230   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    m_Ack: ( $i * $i ) > $i ).

tff(decl_23,type,
    host: $i > $i ).

tff(decl_24,type,
    queue: $i > $i ).

tff(decl_25,type,
    elem: ( $i * $i ) > $o ).

tff(decl_26,type,
    pids: $i ).

tff(decl_27,type,
    setIn: ( $i * $i ) > $o ).

tff(decl_28,type,
    s: $i > $i ).

tff(decl_29,type,
    zero: $i ).

tff(decl_30,type,
    leq: ( $i * $i ) > $o ).

tff(decl_31,type,
    nbr_proc: $i ).

tff(decl_32,type,
    elec_1: $i ).

tff(decl_33,type,
    elec_2: $i ).

tff(decl_34,type,
    wait: $i ).

tff(decl_35,type,
    norm: $i ).

tff(decl_36,type,
    m_Halt: $i > $i ).

tff(decl_37,type,
    m_Down: $i > $i ).

tff(decl_38,type,
    m_NotNorm: $i > $i ).

tff(decl_39,type,
    m_Ldr: $i > $i ).

tff(decl_40,type,
    m_NormQ: $i > $i ).

tff(decl_41,type,
    nil: $i ).

tff(decl_42,type,
    alive: $i ).

tff(decl_43,type,
    cons: ( $i * $i ) > $i ).

tff(decl_44,type,
    head: $i > $i ).

tff(decl_45,type,
    tail: $i > $i ).

tff(decl_46,type,
    snoc: ( $i * $i ) > $i ).

tff(decl_47,type,
    last: $i > $i ).

tff(decl_48,type,
    init: $i > $i ).

tff(decl_49,type,
    q_nil: $i ).

tff(decl_50,type,
    pidElem: $i > $o ).

tff(decl_51,type,
    pidMsg: $i > $i ).

tff(decl_52,type,
    ordered: $i > $o ).

tff(decl_53,type,
    setEmpty: $i ).

tff(decl_54,type,
    status: $i ).

tff(decl_55,type,
    index: ( $i * $i ) > $i ).

tff(decl_56,type,
    elid: $i ).

tff(decl_57,type,
    down: $i ).

tff(decl_58,type,
    pendack: $i ).

tff(decl_59,type,
    ldr: $i ).

tff(decl_60,type,
    epred1_3: ( $i * $i * $i ) > $o ).

tff(decl_61,type,
    esk1_1: $i > $i ).

tff(decl_62,type,
    esk2_1: $i > $i ).

tff(decl_63,type,
    esk3_2: ( $i * $i ) > $i ).

tff(decl_64,type,
    esk4_2: ( $i * $i ) > $i ).

tff(decl_65,type,
    esk5_0: $i ).

tff(decl_66,type,
    esk6_0: $i ).

tff(decl_67,type,
    esk7_0: $i ).

tff(decl_68,type,
    esk8_0: $i ).

tff(decl_69,type,
    esk9_0: $i ).

tff(decl_70,type,
    esk10_0: $i ).

tff(decl_71,type,
    esk11_0: $i ).

tff(decl_72,type,
    esk12_0: $i ).

tff(decl_73,type,
    esk13_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_74,type,
    esk14_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

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

fof(c_0_10,negated_conjecture,
    ! [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(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_8])])])])])]) ).

fof(c_0_11,plain,
    ! [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(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(c_0_34,plain,
    ! [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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])]) ).

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

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

fof(c_0_37,plain,
    ! [X26] : leq(host(X26),nbr_proc),
    inference(variable_rename,[status(thm)],[axiom_04]) ).

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

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

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

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

fof(c_0_42,plain,
    ! [X25] : leq(s(zero),host(X25)),
    inference(variable_rename,[status(thm)],[axiom_02]) ).

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

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

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

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

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

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

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

fof(c_0_50,plain,
    ! [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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_64])])]) ).

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

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

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

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

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

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

fof(c_0_57,plain,
    ! [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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_46])])]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10  % Problem    : SWV481+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.10/0.31  % Computer : n002.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 29 09:36:05 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.16/0.54  start to proof: theBenchmark
% 44.73/44.88  % Version  : CSE_E---1.5
% 44.73/44.88  % Problem  : theBenchmark.p
% 44.73/44.88  % Proof found
% 44.73/44.88  % SZS status Theorem for theBenchmark.p
% 44.73/44.88  % SZS output start Proof
% See solution above
% 44.73/44.88  % Total time : 44.277000 s
% 44.73/44.88  % SZS output end Proof
% 44.73/44.88  % Total time : 44.283000 s
%------------------------------------------------------------------------------