TSTP Solution File: SWV475+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWV475+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n012.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 21:41:26 EDT 2023

% Result   : Theorem 118.32s 118.63s
% Output   : CNFRefutation 118.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   64
% Syntax   : Number of formulae    :  125 (  41 unt;  55 typ;   0 def)
%            Number of atoms       :  702 ( 304 equ)
%            Maximal formula atoms :  179 (  10 avg)
%            Number of connectives :  934 ( 302   ~; 239   |; 314   &)
%                                         (   4 <=>;  75  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   83 (   6 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   55 (  29   >;  26   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :   49 (  49 usr;  26 con; 0-8 aty)
%            Number of variables   :  290 (  24 sgn; 240   !;   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,
    acks: $i ).

tff(decl_61,type,
    epred1_4: ( $i * $i * $i * $i ) > $o ).

tff(decl_62,type,
    esk1_1: $i > $i ).

tff(decl_63,type,
    esk2_1: $i > $i ).

tff(decl_64,type,
    esk3_2: ( $i * $i ) > $i ).

tff(decl_65,type,
    esk4_2: ( $i * $i ) > $i ).

tff(decl_66,type,
    esk5_0: $i ).

tff(decl_67,type,
    esk6_0: $i ).

tff(decl_68,type,
    esk7_0: $i ).

tff(decl_69,type,
    esk8_0: $i ).

tff(decl_70,type,
    esk9_0: $i ).

tff(decl_71,type,
    esk10_0: $i ).

tff(decl_72,type,
    esk11_0: $i ).

tff(decl_73,type,
    esk12_0: $i ).

tff(decl_74,type,
    esk13_0: $i ).

tff(decl_75,type,
    esk14_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_76,type,
    esk15_8: ( $i * $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_Ack(X13,X6),X12) )
     => ( setIn(X5,alive)
       => ( ( index(elid,host(X5)) = X13
            & index(status,host(X5)) = elec_2
            & host(X6) = index(pendack,host(X5)) )
         => ( leq(nbr_proc,index(pendack,host(X5)))
           => ! [X7] :
                ( ( setIn(host(X7),index(acks,host(X5)))
                  | host(X7) = host(X6) )
               => ! [X17] :
                    ( host(X5) = host(X17)
                   => ! [X18,X19,X20] :
                        ( host(X7) = host(X20)
                       => ( host(X5) != host(X20)
                         => ( ( ! [X21] :
                                  ( ( ~ leq(host(X20),X21)
                                    & leq(s(zero),X21) )
                                 => ( setIn(X21,index(down,host(X20)))
                                    | X21 = host(X19) ) )
                              & setIn(X20,alive)
                              & leq(nbr_proc,s(host(X20)))
                              & elem(m_Down(X18),snoc(queue(host(X20)),m_Ldr(X5)))
                              & elem(m_Down(X19),snoc(queue(host(X20)),m_Ldr(X5)))
                              & host(X18) = s(host(X20))
                              & index(status,host(X20)) = elec_1 )
                           => ~ ( setIn(X17,alive)
                                & host(X5) = host(X17) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

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

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

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

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

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

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

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

fof(c_0_8,plain,
    ! [X13,X5,X6,X12] :
      ( epred1_4(X12,X6,X5,X13)
    <=> ( ! [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_Ack(X13,X6),X12) ) ),
    introduced(definition) ).

fof(c_0_9,negated_conjecture,
    ~ ! [X12,X13,X5,X6] :
        ( epred1_4(X12,X6,X5,X13)
       => ( setIn(X5,alive)
         => ( ( index(elid,host(X5)) = X13
              & index(status,host(X5)) = elec_2
              & host(X6) = index(pendack,host(X5)) )
           => ( leq(nbr_proc,index(pendack,host(X5)))
             => ! [X7] :
                  ( ( setIn(host(X7),index(acks,host(X5)))
                    | host(X7) = host(X6) )
                 => ! [X17] :
                      ( host(X5) = host(X17)
                     => ! [X18,X19,X20] :
                          ( host(X7) = host(X20)
                         => ( host(X5) != host(X20)
                           => ( ( ! [X21] :
                                    ( ( ~ leq(host(X20),X21)
                                      & leq(s(zero),X21) )
                                   => ( setIn(X21,index(down,host(X20)))
                                      | X21 = host(X19) ) )
                                & setIn(X20,alive)
                                & leq(nbr_proc,s(host(X20)))
                                & elem(m_Down(X18),snoc(queue(host(X20)),m_Ldr(X5)))
                                & elem(m_Down(X19),snoc(queue(host(X20)),m_Ldr(X5)))
                                & host(X18) = s(host(X20))
                                & index(status,host(X20)) = elec_1 )
                             => ~ ( setIn(X17,alive)
                                  & host(X5) = host(X17) ) ) ) ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]),c_0_8]) ).

fof(c_0_10,plain,
    ! [X13,X5,X6,X12] :
      ( epred1_4(X12,X6,X5,X13)
     => ( ! [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_Ack(X13,X6),X12) ) ),
    inference(split_equiv,[status(thm)],[c_0_8]) ).

fof(c_0_11,negated_conjecture,
    ! [X160] :
      ( epred1_4(esk5_0,esk8_0,esk7_0,esk6_0)
      & setIn(esk7_0,alive)
      & index(elid,host(esk7_0)) = esk6_0
      & index(status,host(esk7_0)) = elec_2
      & host(esk8_0) = index(pendack,host(esk7_0))
      & leq(nbr_proc,index(pendack,host(esk7_0)))
      & ( setIn(host(esk9_0),index(acks,host(esk7_0)))
        | host(esk9_0) = host(esk8_0) )
      & host(esk7_0) = host(esk10_0)
      & host(esk9_0) = host(esk13_0)
      & host(esk7_0) != host(esk13_0)
      & ( leq(host(esk13_0),X160)
        | ~ leq(s(zero),X160)
        | setIn(X160,index(down,host(esk13_0)))
        | X160 = host(esk12_0) )
      & setIn(esk13_0,alive)
      & leq(nbr_proc,s(host(esk13_0)))
      & elem(m_Down(esk11_0),snoc(queue(host(esk13_0)),m_Ldr(esk7_0)))
      & elem(m_Down(esk12_0),snoc(queue(host(esk13_0)),m_Ldr(esk7_0)))
      & host(esk11_0) = s(host(esk13_0))
      & index(status,host(esk13_0)) = elec_1
      & setIn(esk10_0,alive)
      & host(esk7_0) = host(esk10_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).

fof(c_0_12,plain,
    ! [X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X206,X207,X208,X209] :
      ( ( ~ elem(m_Ldr(X166),queue(host(X165)))
        | ~ leq(host(X165),host(X166))
        | ~ epred1_4(X164,X163,X162,X161) )
      & ( ~ elem(m_Down(X168),queue(host(X167)))
        | host(X168) != host(X167)
        | ~ epred1_4(X164,X163,X162,X161) )
      & ( X170 = X169
        | host(X170) != host(X169)
        | ~ setIn(X169,alive)
        | ~ setIn(X170,alive)
        | ~ epred1_4(X164,X163,X162,X161) )
      & ( index(status,host(X171)) != elec_1
        | ~ setIn(X171,alive)
        | index(elid,host(X171)) = X171
        | ~ epred1_4(X164,X163,X162,X161) )
      & ( index(status,host(X171)) != elec_2
        | ~ setIn(X171,alive)
        | index(elid,host(X171)) = X171
        | ~ epred1_4(X164,X163,X162,X161) )
      & ( ~ setIn(X172,alive)
        | ~ setIn(X173,alive)
        | ~ setIn(host(X173),index(down,host(X172)))
        | index(status,host(X173)) != elec_2
        | leq(index(pendack,host(X173)),host(X172))
        | ~ epred1_4(X164,X163,X162,X161) )
      & ( ~ setIn(X175,alive)
        | index(status,host(X175)) != norm
        | index(ldr,host(X175)) != host(X175)
        | ~ setIn(X174,alive)
        | ~ setIn(host(X175),index(down,host(X174)))
        | ~ epred1_4(X164,X163,X162,X161) )
      & ( ~ setIn(X176,alive)
        | ~ setIn(X178,alive)
        | ~ elem(m_Down(X177),queue(host(X176)))
        | host(X178) != host(X177)
        | index(status,host(X178)) != elec_2
        | leq(index(pendack,host(X178)),host(X176))
        | ~ epred1_4(X164,X163,X162,X161) )
      & ( ~ setIn(X181,alive)
        | host(X180) != host(X181)
        | index(status,host(X181)) != norm
        | index(ldr,host(X181)) != host(X181)
        | ~ setIn(X179,alive)
        | ~ elem(m_Down(X180),queue(host(X179)))
        | ~ epred1_4(X164,X163,X162,X161) )
      & ( ~ setIn(X182,alive)
        | ~ setIn(X183,alive)
        | index(ldr,host(X182)) != host(X182)
        | index(status,host(X182)) != norm
        | index(status,host(X183)) != norm
        | index(ldr,host(X183)) != host(X183)
        | X183 = X182
        | ~ epred1_4(X164,X163,X162,X161) )
      & ( leq(host(X185),host(X186))
        | ~ setIn(X186,alive)
        | ~ elem(m_Down(X185),queue(host(X186)))
        | host(X185) != host(X184)
        | ~ setIn(X184,alive)
        | index(ldr,host(X184)) != host(X184)
        | index(status,host(X184)) != norm
        | ~ epred1_4(X164,X163,X162,X161) )
      & ( host(X189) = host(X187)
        | ~ setIn(X187,alive)
        | ~ setIn(X189,alive)
        | host(X188) != host(X187)
        | host(X190) != host(X189)
        | ~ elem(m_Down(X190),queue(host(X187)))
        | ~ elem(m_Down(X188),queue(host(X189)))
        | ~ epred1_4(X164,X163,X162,X161) )
      & ( host(X193) = host(X191)
        | ~ setIn(X191,alive)
        | ~ setIn(X193,alive)
        | host(X192) != host(X191)
        | host(X194) != host(X193)
        | ~ elem(m_Down(X194),queue(host(X191)))
        | ~ setIn(host(X192),index(down,host(X193)))
        | ~ epred1_4(X164,X163,X162,X161) )
      & ( host(X197) = host(X196)
        | ~ setIn(X197,alive)
        | ~ elem(m_Down(X195),queue(host(X197)))
        | host(X196) != host(X195)
        | index(status,host(X197)) != norm
        | index(ldr,host(X197)) != host(X196)
        | ~ setIn(X196,alive)
        | index(status,host(X196)) != norm
        | index(ldr,host(X196)) != host(X196)
        | ~ epred1_4(X164,X163,X162,X161) )
      & ( host(X200) = host(X199)
        | ~ setIn(X200,alive)
        | ~ elem(m_Down(X198),queue(host(X200)))
        | host(X199) != host(X198)
        | index(status,host(X200)) != wait
        | host(index(elid,host(X200))) != host(X199)
        | ~ setIn(X199,alive)
        | index(status,host(X199)) != norm
        | index(ldr,host(X199)) != host(X199)
        | ~ epred1_4(X164,X163,X162,X161) )
      & ( ~ leq(host(X204),esk14_8(X161,X162,X163,X164,X201,X202,X203,X204))
        | ~ setIn(X201,alive)
        | ~ leq(host(X201),host(X204))
        | ~ elem(m_Down(X203),queue(host(X204)))
        | host(X202) != host(X204)
        | index(status,host(X201)) != elec_2
        | index(status,host(X204)) != elec_1
        | ~ elem(m_Ack(X201,X202),queue(host(X201)))
        | ~ epred1_4(X164,X163,X162,X161) )
      & ( leq(s(zero),esk14_8(X161,X162,X163,X164,X201,X202,X203,X204))
        | ~ setIn(X201,alive)
        | ~ leq(host(X201),host(X204))
        | ~ elem(m_Down(X203),queue(host(X204)))
        | host(X202) != host(X204)
        | index(status,host(X201)) != elec_2
        | index(status,host(X204)) != elec_1
        | ~ elem(m_Ack(X201,X202),queue(host(X201)))
        | ~ epred1_4(X164,X163,X162,X161) )
      & ( ~ setIn(esk14_8(X161,X162,X163,X164,X201,X202,X203,X204),index(down,host(X204)))
        | ~ setIn(X201,alive)
        | ~ leq(host(X201),host(X204))
        | ~ elem(m_Down(X203),queue(host(X204)))
        | host(X202) != host(X204)
        | index(status,host(X201)) != elec_2
        | index(status,host(X204)) != elec_1
        | ~ elem(m_Ack(X201,X202),queue(host(X201)))
        | ~ epred1_4(X164,X163,X162,X161) )
      & ( esk14_8(X161,X162,X163,X164,X201,X202,X203,X204) != host(X203)
        | ~ setIn(X201,alive)
        | ~ leq(host(X201),host(X204))
        | ~ elem(m_Down(X203),queue(host(X204)))
        | host(X202) != host(X204)
        | index(status,host(X201)) != elec_2
        | index(status,host(X204)) != elec_1
        | ~ elem(m_Ack(X201,X202),queue(host(X201)))
        | ~ epred1_4(X164,X163,X162,X161) )
      & ( ~ leq(host(X209),esk15_8(X161,X162,X163,X164,X206,X207,X208,X209))
        | ~ setIn(X209,alive)
        | ~ leq(nbr_proc,s(host(X209)))
        | ~ elem(m_Down(X208),queue(host(X209)))
        | ~ elem(m_Down(X207),queue(host(X209)))
        | host(X207) != s(host(X209))
        | index(status,host(X209)) != elec_1
        | ~ setIn(X206,alive)
        | index(ldr,host(X206)) != host(X206)
        | index(status,host(X206)) != norm
        | ~ epred1_4(X164,X163,X162,X161) )
      & ( leq(s(zero),esk15_8(X161,X162,X163,X164,X206,X207,X208,X209))
        | ~ setIn(X209,alive)
        | ~ leq(nbr_proc,s(host(X209)))
        | ~ elem(m_Down(X208),queue(host(X209)))
        | ~ elem(m_Down(X207),queue(host(X209)))
        | host(X207) != s(host(X209))
        | index(status,host(X209)) != elec_1
        | ~ setIn(X206,alive)
        | index(ldr,host(X206)) != host(X206)
        | index(status,host(X206)) != norm
        | ~ epred1_4(X164,X163,X162,X161) )
      & ( ~ setIn(esk15_8(X161,X162,X163,X164,X206,X207,X208,X209),index(down,host(X209)))
        | ~ setIn(X209,alive)
        | ~ leq(nbr_proc,s(host(X209)))
        | ~ elem(m_Down(X208),queue(host(X209)))
        | ~ elem(m_Down(X207),queue(host(X209)))
        | host(X207) != s(host(X209))
        | index(status,host(X209)) != elec_1
        | ~ setIn(X206,alive)
        | index(ldr,host(X206)) != host(X206)
        | index(status,host(X206)) != norm
        | ~ epred1_4(X164,X163,X162,X161) )
      & ( esk15_8(X161,X162,X163,X164,X206,X207,X208,X209) != host(X208)
        | ~ setIn(X209,alive)
        | ~ leq(nbr_proc,s(host(X209)))
        | ~ elem(m_Down(X208),queue(host(X209)))
        | ~ elem(m_Down(X207),queue(host(X209)))
        | host(X207) != s(host(X209))
        | index(status,host(X209)) != elec_1
        | ~ setIn(X206,alive)
        | index(ldr,host(X206)) != host(X206)
        | index(status,host(X206)) != norm
        | ~ epred1_4(X164,X163,X162,X161) )
      & ( queue(host(X162)) = cons(m_Ack(X161,X163),X164)
        | ~ epred1_4(X164,X163,X162,X161) ) ),
    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_10])])])])]) ).

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

cnf(c_0_14,negated_conjecture,
    leq(nbr_proc,s(host(esk13_0))),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,negated_conjecture,
    host(esk11_0) = s(host(esk13_0)),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

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

cnf(c_0_17,plain,
    ( index(elid,host(X1)) = X1
    | index(status,host(X1)) != elec_2
    | ~ setIn(X1,alive)
    | ~ epred1_4(X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,negated_conjecture,
    epred1_4(esk5_0,esk8_0,esk7_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_19,plain,
    ! [X105,X106,X107] :
      ( ( ~ elem(X105,snoc(X107,X106))
        | X105 = X106
        | elem(X105,X107) )
      & ( X105 != X106
        | elem(X105,snoc(X107,X106)) )
      & ( ~ elem(X105,X107)
        | elem(X105,snoc(X107,X106)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_47])])]) ).

fof(c_0_20,plain,
    ! [X47,X48] : m_Down(X47) != m_Ldr(X48),
    inference(variable_rename,[status(thm)],[axiom_18]) ).

fof(c_0_21,plain,
    ! [X5] : ~ leq(s(X5),X5),
    inference(fof_simplification,[status(thm)],[axiom_58]) ).

cnf(c_0_22,plain,
    ( X1 = X2
    | ~ leq(X1,X2)
    | ~ leq(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_23,negated_conjecture,
    leq(nbr_proc,host(esk11_0)),
    inference(rw,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_24,plain,
    leq(host(X1),nbr_proc),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_25,negated_conjecture,
    index(elid,host(esk7_0)) = esk6_0,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_26,negated_conjecture,
    ( index(elid,host(X1)) = X1
    | index(status,host(X1)) != elec_2
    | ~ setIn(X1,alive) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_27,negated_conjecture,
    index(status,host(esk7_0)) = elec_2,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_28,negated_conjecture,
    setIn(esk7_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_29,negated_conjecture,
    leq(nbr_proc,index(pendack,host(esk7_0))),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_30,negated_conjecture,
    host(esk8_0) = index(pendack,host(esk7_0)),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_31,plain,
    ( X1 = X3
    | elem(X1,X2)
    | ~ elem(X1,snoc(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_32,negated_conjecture,
    elem(m_Down(esk12_0),snoc(queue(host(esk13_0)),m_Ldr(esk7_0))),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_33,plain,
    m_Down(X1) != m_Ldr(X2),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_34,plain,
    ! [X137] : ~ leq(s(X137),X137),
    inference(variable_rename,[status(thm)],[c_0_21]) ).

fof(c_0_35,plain,
    ! [X148,X149] :
      ( ( ~ leq(X148,s(X149))
        | X148 = s(X149)
        | leq(X148,X149) )
      & ( X148 != s(X149)
        | leq(X148,s(X149)) )
      & ( ~ leq(X148,X149)
        | leq(X148,s(X149)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_64])])]) ).

cnf(c_0_36,negated_conjecture,
    host(esk11_0) = nbr_proc,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).

cnf(c_0_37,negated_conjecture,
    esk6_0 = esk7_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_38,negated_conjecture,
    leq(nbr_proc,host(esk8_0)),
    inference(rw,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_39,plain,
    ( leq(index(pendack,host(X2)),host(X1))
    | ~ setIn(X1,alive)
    | ~ setIn(X2,alive)
    | ~ elem(m_Down(X3),queue(host(X1)))
    | host(X2) != host(X3)
    | index(status,host(X2)) != elec_2
    | ~ epred1_4(X4,X5,X6,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_40,negated_conjecture,
    elem(m_Down(esk12_0),queue(host(esk13_0))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).

cnf(c_0_41,negated_conjecture,
    setIn(esk13_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_42,plain,
    ~ leq(s(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_43,negated_conjecture,
    elem(m_Down(esk11_0),snoc(queue(host(esk13_0)),m_Ldr(esk7_0))),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_44,plain,
    ( X1 = s(X2)
    | leq(X1,X2)
    | ~ leq(X1,s(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_45,negated_conjecture,
    s(host(esk13_0)) = nbr_proc,
    inference(rw,[status(thm)],[c_0_15,c_0_36]) ).

cnf(c_0_46,plain,
    ( leq(index(pendack,host(X2)),host(X1))
    | ~ setIn(X1,alive)
    | ~ setIn(X2,alive)
    | ~ setIn(host(X2),index(down,host(X1)))
    | index(status,host(X2)) != elec_2
    | ~ epred1_4(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_47,negated_conjecture,
    epred1_4(esk5_0,esk8_0,esk7_0,esk7_0),
    inference(rw,[status(thm)],[c_0_18,c_0_37]) ).

cnf(c_0_48,negated_conjecture,
    host(esk8_0) = nbr_proc,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_38]),c_0_24])]) ).

cnf(c_0_49,negated_conjecture,
    ( leq(index(pendack,host(X1)),host(esk13_0))
    | index(status,host(X1)) != elec_2
    | host(X1) != host(esk12_0)
    | ~ epred1_4(X2,X3,X4,X5)
    | ~ setIn(X1,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).

cnf(c_0_50,negated_conjecture,
    ~ leq(host(esk11_0),host(esk13_0)),
    inference(spm,[status(thm)],[c_0_42,c_0_15]) ).

cnf(c_0_51,negated_conjecture,
    elem(m_Down(esk11_0),queue(host(esk13_0))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_43]),c_0_33]) ).

cnf(c_0_52,negated_conjecture,
    ( X1 = nbr_proc
    | leq(X1,host(esk13_0))
    | ~ leq(X1,nbr_proc) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_53,plain,
    ( leq(index(pendack,host(X1)),host(X2))
    | index(status,host(X1)) != elec_2
    | ~ setIn(host(X1),index(down,host(X2)))
    | ~ setIn(X1,alive)
    | ~ setIn(X2,alive) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_54,negated_conjecture,
    index(pendack,host(esk7_0)) = nbr_proc,
    inference(rw,[status(thm)],[c_0_30,c_0_48]) ).

fof(c_0_55,plain,
    ! [X26] : leq(s(zero),host(X26)),
    inference(variable_rename,[status(thm)],[axiom_02]) ).

cnf(c_0_56,negated_conjecture,
    ( leq(index(pendack,host(X1)),host(esk13_0))
    | index(status,host(X1)) != elec_2
    | host(X1) != host(esk12_0)
    | ~ setIn(X1,alive) ),
    inference(spm,[status(thm)],[c_0_49,c_0_47]) ).

cnf(c_0_57,negated_conjecture,
    ~ leq(nbr_proc,host(esk13_0)),
    inference(rw,[status(thm)],[c_0_50,c_0_36]) ).

cnf(c_0_58,negated_conjecture,
    ( leq(index(pendack,host(X1)),host(esk13_0))
    | index(status,host(X1)) != elec_2
    | host(X1) != nbr_proc
    | ~ epred1_4(X2,X3,X4,X5)
    | ~ setIn(X1,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_51]),c_0_36]),c_0_41])]) ).

cnf(c_0_59,negated_conjecture,
    ( host(X1) = nbr_proc
    | leq(host(X1),host(esk13_0)) ),
    inference(spm,[status(thm)],[c_0_52,c_0_24]) ).

cnf(c_0_60,negated_conjecture,
    ( leq(nbr_proc,host(X1))
    | ~ setIn(host(esk7_0),index(down,host(X1)))
    | ~ setIn(X1,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_27]),c_0_28])]) ).

cnf(c_0_61,negated_conjecture,
    ( leq(host(esk13_0),X1)
    | setIn(X1,index(down,host(esk13_0)))
    | X1 = host(esk12_0)
    | ~ leq(s(zero),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

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

cnf(c_0_63,negated_conjecture,
    host(esk12_0) != host(esk7_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_54]),c_0_27]),c_0_28])]),c_0_57]) ).

cnf(c_0_64,negated_conjecture,
    ( leq(index(pendack,host(X1)),host(esk13_0))
    | index(status,host(X1)) != elec_2
    | host(X1) != nbr_proc
    | ~ setIn(X1,alive) ),
    inference(spm,[status(thm)],[c_0_58,c_0_47]) ).

cnf(c_0_65,negated_conjecture,
    ( host(esk13_0) = host(X1)
    | host(X1) = nbr_proc
    | ~ leq(host(esk13_0),host(X1)) ),
    inference(spm,[status(thm)],[c_0_22,c_0_59]) ).

cnf(c_0_66,negated_conjecture,
    leq(host(esk13_0),host(esk7_0)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_41]),c_0_62])]),c_0_57]),c_0_63]) ).

cnf(c_0_67,negated_conjecture,
    host(esk7_0) != host(esk13_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_68,negated_conjecture,
    nbr_proc != host(esk7_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_54]),c_0_27]),c_0_28])]),c_0_57]) ).

cnf(c_0_69,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_68]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV475+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.32  % Computer : n012.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Aug 29 07:56:54 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.15/0.58  start to proof: theBenchmark
% 118.32/118.63  % Version  : CSE_E---1.5
% 118.32/118.63  % Problem  : theBenchmark.p
% 118.32/118.63  % Proof found
% 118.32/118.63  % SZS status Theorem for theBenchmark.p
% 118.32/118.63  % SZS output start Proof
% See solution above
% 118.32/118.64  % Total time : 117.809000 s
% 118.32/118.64  % SZS output end Proof
% 118.32/118.64  % Total time : 117.818000 s
%------------------------------------------------------------------------------