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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWV462+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Wed Jul 20 18:16:53 EDT 2022

% Result   : Theorem 0.40s 26.59s
% Output   : CNFRefutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  105 (  47 unt;   0 def)
%            Number of atoms       :  620 ( 249 equ)
%            Maximal formula atoms :  114 (   5 avg)
%            Number of connectives :  820 ( 305   ~; 220   |; 220   &)
%                                         (  12 <=>;  63  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   71 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   13 (  11 usr;   8 prp; 0-3 aty)
%            Number of functors    :   29 (  29 usr;  18 con; 0-7 aty)
%            Number of variables   :  328 (  49 sgn 245   !;   0   ?)

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

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_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_12,axiom,
    ! [X5,X6,X7] : m_Ack(X5,X6) != m_Down(X7),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_12) ).

fof(axiom_31,axiom,
    ! [X8,X9,X10,X11] :
      ( X8 != X9
     => m_Ack(X8,X10) != m_Ack(X9,X11) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_31) ).

fof(axiom_59,axiom,
    ! [X5] : leq(X5,X5),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_59) ).

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_32,axiom,
    ! [X8,X9,X10,X11] :
      ( X10 != X11
     => m_Ack(X8,X10) != m_Ack(X9,X11) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_32) ).

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(c_0_10,plain,
    ! [X12,X5,X13] :
      ( epred1_3(X13,X5,X12)
    <=> ( ! [X6,X7] :
            ( elem(m_Ldr(X7),queue(host(X6)))
           => ~ leq(host(X6),host(X7)) )
        & ! [X6,X7] :
            ( elem(m_Down(X7),queue(host(X6)))
           => host(X7) != host(X6) )
        & ! [X6,X7] :
            ( elem(m_Halt(X7),queue(host(X6)))
           => ~ leq(host(X6),host(X7)) )
        & ! [X6,X7,X14] :
            ( elem(m_Ack(X14,X6),queue(host(X7)))
           => ~ leq(host(X6),host(X14)) )
        & ! [X6,X7] :
            ( ( X7 != X6
              & host(X7) = host(X6) )
           => ( ~ setIn(X6,alive)
              | ~ setIn(X7,alive) ) )
        & ! [X6,X7] :
            ( ( setIn(X7,alive)
              & elem(m_Ack(X7,X6),queue(host(X7))) )
           => leq(host(X6),index(pendack,host(X7))) )
        & ! [X6,X7] :
            ( ( setIn(X7,alive)
              & index(status,host(X7)) = elec_1 )
           => ~ elem(m_Ack(X7,X6),queue(host(X7))) )
        & ! [X6] :
            ( ( ( index(status,host(X6)) = elec_1
                | index(status,host(X6)) = elec_2 )
              & setIn(X6,alive) )
           => index(elid,host(X6)) = X6 )
        & ! [X6,X7] :
            ( ( ~ leq(host(X6),host(X7))
              & setIn(X6,alive)
              & setIn(X7,alive)
              & index(status,host(X6)) = elec_2
              & index(status,host(X7)) = elec_2 )
           => leq(index(pendack,host(X7)),host(X6)) )
        & ! [X6,X7,X14] :
            ( ( setIn(X14,alive)
              & elem(m_Down(X7),queue(host(X14)))
              & host(X7) = host(X6) )
           => ~ ( setIn(X6,alive)
                & index(ldr,host(X6)) = host(X6)
                & index(status,host(X6)) = norm ) )
        & ! [X6,X7,X14] :
            ( ( setIn(X6,alive)
              & setIn(X14,alive)
              & host(X14) = host(X7)
              & index(status,host(X6)) = elec_2
              & index(status,host(X14)) = elec_2 )
           => ~ elem(m_Ack(X6,X7),queue(host(X6))) )
        & ! [X6,X7] :
            ( ( ~ leq(host(X6),host(X7))
              & setIn(X6,alive)
              & setIn(X7,alive)
              & index(status,host(X6)) = elec_2
              & index(status,host(X7)) = elec_2 )
           => ~ leq(index(pendack,host(X6)),index(pendack,host(X7))) )
        & ! [X6,X7,X14] :
            ( ( ~ leq(index(pendack,host(X14)),host(X6))
              & setIn(X14,alive)
              & elem(m_Halt(X14),queue(host(X7)))
              & index(status,host(X14)) = elec_2 )
           => ~ ( setIn(X6,alive)
                & index(ldr,host(X6)) = host(X6)
                & index(status,host(X6)) = norm ) )
        & ! [X6,X7,X15,X14] :
            ( ( ! [X16] :
                  ( ( ~ leq(host(X14),X16)
                    & leq(s(zero),X16) )
                 => ( setIn(X16,index(down,host(X14)))
                    | X16 = host(X15) ) )
              & elem(m_Down(X15),queue(host(X14)))
              & host(X14) = host(X7)
              & host(X14) = nbr_proc
              & index(status,host(X14)) = elec_1 )
           => ~ ( setIn(X6,alive)
                & elem(m_Down(X7),queue(host(X6))) ) )
        & ! [X6,X7,X15,X14] :
            ( ( setIn(X14,alive)
              & elem(m_Ack(X14,X7),queue(host(X14)))
              & elem(m_Down(X15),queue(host(X14)))
              & leq(nbr_proc,s(index(pendack,host(X14))))
              & index(status,host(X14)) = elec_2
              & host(X7) = index(pendack,host(X14))
              & host(X15) = s(index(pendack,host(X14))) )
           => ~ ( setIn(X6,alive)
                & index(ldr,host(X6)) = host(X6)
                & index(status,host(X6)) = norm ) )
        & queue(host(X13)) = cons(m_Halt(X5),X12) ) ),
    introduced(definition) ).

fof(c_0_11,plain,
    ! [X12,X5,X13] :
      ( epred1_3(X13,X5,X12)
     => ( ! [X6,X7] :
            ( elem(m_Ldr(X7),queue(host(X6)))
           => ~ leq(host(X6),host(X7)) )
        & ! [X6,X7] :
            ( elem(m_Down(X7),queue(host(X6)))
           => host(X7) != host(X6) )
        & ! [X6,X7] :
            ( elem(m_Halt(X7),queue(host(X6)))
           => ~ leq(host(X6),host(X7)) )
        & ! [X6,X7,X14] :
            ( elem(m_Ack(X14,X6),queue(host(X7)))
           => ~ leq(host(X6),host(X14)) )
        & ! [X6,X7] :
            ( ( X7 != X6
              & host(X7) = host(X6) )
           => ( ~ setIn(X6,alive)
              | ~ setIn(X7,alive) ) )
        & ! [X6,X7] :
            ( ( setIn(X7,alive)
              & elem(m_Ack(X7,X6),queue(host(X7))) )
           => leq(host(X6),index(pendack,host(X7))) )
        & ! [X6,X7] :
            ( ( setIn(X7,alive)
              & index(status,host(X7)) = elec_1 )
           => ~ elem(m_Ack(X7,X6),queue(host(X7))) )
        & ! [X6] :
            ( ( ( index(status,host(X6)) = elec_1
                | index(status,host(X6)) = elec_2 )
              & setIn(X6,alive) )
           => index(elid,host(X6)) = X6 )
        & ! [X6,X7] :
            ( ( ~ leq(host(X6),host(X7))
              & setIn(X6,alive)
              & setIn(X7,alive)
              & index(status,host(X6)) = elec_2
              & index(status,host(X7)) = elec_2 )
           => leq(index(pendack,host(X7)),host(X6)) )
        & ! [X6,X7,X14] :
            ( ( setIn(X14,alive)
              & elem(m_Down(X7),queue(host(X14)))
              & host(X7) = host(X6) )
           => ~ ( setIn(X6,alive)
                & index(ldr,host(X6)) = host(X6)
                & index(status,host(X6)) = norm ) )
        & ! [X6,X7,X14] :
            ( ( setIn(X6,alive)
              & setIn(X14,alive)
              & host(X14) = host(X7)
              & index(status,host(X6)) = elec_2
              & index(status,host(X14)) = elec_2 )
           => ~ elem(m_Ack(X6,X7),queue(host(X6))) )
        & ! [X6,X7] :
            ( ( ~ leq(host(X6),host(X7))
              & setIn(X6,alive)
              & setIn(X7,alive)
              & index(status,host(X6)) = elec_2
              & index(status,host(X7)) = elec_2 )
           => ~ leq(index(pendack,host(X6)),index(pendack,host(X7))) )
        & ! [X6,X7,X14] :
            ( ( ~ leq(index(pendack,host(X14)),host(X6))
              & setIn(X14,alive)
              & elem(m_Halt(X14),queue(host(X7)))
              & index(status,host(X14)) = elec_2 )
           => ~ ( setIn(X6,alive)
                & index(ldr,host(X6)) = host(X6)
                & index(status,host(X6)) = norm ) )
        & ! [X6,X7,X15,X14] :
            ( ( ! [X16] :
                  ( ( ~ leq(host(X14),X16)
                    & leq(s(zero),X16) )
                 => ( setIn(X16,index(down,host(X14)))
                    | X16 = host(X15) ) )
              & elem(m_Down(X15),queue(host(X14)))
              & host(X14) = host(X7)
              & host(X14) = nbr_proc
              & index(status,host(X14)) = elec_1 )
           => ~ ( setIn(X6,alive)
                & elem(m_Down(X7),queue(host(X6))) ) )
        & ! [X6,X7,X15,X14] :
            ( ( setIn(X14,alive)
              & elem(m_Ack(X14,X7),queue(host(X14)))
              & elem(m_Down(X15),queue(host(X14)))
              & leq(nbr_proc,s(index(pendack,host(X14))))
              & index(status,host(X14)) = elec_2
              & host(X7) = index(pendack,host(X14))
              & host(X15) = s(index(pendack,host(X14))) )
           => ~ ( setIn(X6,alive)
                & index(ldr,host(X6)) = host(X6)
                & index(status,host(X6)) = norm ) )
        & queue(host(X13)) = cons(m_Halt(X5),X12) ) ),
    inference(split_equiv,[status(thm)],[c_0_10]) ).

fof(c_0_12,negated_conjecture,
    ~ ! [X12,X13,X5] :
        ( epred1_3(X13,X5,X12)
       => ( setIn(X13,alive)
         => ! [X6] :
              ( host(X13) != host(X6)
             => ! [X7,X17,X18] :
                  ( host(X5) = host(X18)
                 => ( host(X13) != host(X18)
                   => ( ( setIn(X18,alive)
                        & leq(nbr_proc,s(index(pendack,host(X18))))
                        & elem(m_Down(X17),snoc(queue(host(X18)),m_Ack(X5,X13)))
                        & elem(m_Ack(X18,X7),snoc(queue(host(X18)),m_Ack(X5,X13)))
                        & index(status,host(X18)) = elec_2
                        & host(X7) = index(pendack,host(X18))
                        & host(X17) = s(index(pendack,host(X18))) )
                     => ~ ( setIn(X6,alive)
                          & index(ldr,host(X6)) = host(X6)
                          & index(status,host(X6)) = norm ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[conj]),c_0_10]) ).

fof(c_0_13,plain,
    ! [X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X55,X56,X57,X54] :
      ( ( ~ elem(m_Ldr(X21),queue(host(X20)))
        | ~ leq(host(X20),host(X21))
        | ~ epred1_3(X19,X18,X17) )
      & ( ~ elem(m_Down(X23),queue(host(X22)))
        | host(X23) != host(X22)
        | ~ epred1_3(X19,X18,X17) )
      & ( ~ elem(m_Halt(X25),queue(host(X24)))
        | ~ leq(host(X24),host(X25))
        | ~ epred1_3(X19,X18,X17) )
      & ( ~ elem(m_Ack(X28,X26),queue(host(X27)))
        | ~ leq(host(X26),host(X28))
        | ~ epred1_3(X19,X18,X17) )
      & ( X30 = X29
        | host(X30) != host(X29)
        | ~ setIn(X29,alive)
        | ~ setIn(X30,alive)
        | ~ epred1_3(X19,X18,X17) )
      & ( ~ setIn(X32,alive)
        | ~ elem(m_Ack(X32,X31),queue(host(X32)))
        | leq(host(X31),index(pendack,host(X32)))
        | ~ epred1_3(X19,X18,X17) )
      & ( ~ setIn(X34,alive)
        | index(status,host(X34)) != elec_1
        | ~ elem(m_Ack(X34,X33),queue(host(X34)))
        | ~ epred1_3(X19,X18,X17) )
      & ( index(status,host(X35)) != elec_1
        | ~ setIn(X35,alive)
        | index(elid,host(X35)) = X35
        | ~ epred1_3(X19,X18,X17) )
      & ( index(status,host(X35)) != elec_2
        | ~ setIn(X35,alive)
        | index(elid,host(X35)) = X35
        | ~ epred1_3(X19,X18,X17) )
      & ( leq(host(X36),host(X37))
        | ~ setIn(X36,alive)
        | ~ setIn(X37,alive)
        | index(status,host(X36)) != elec_2
        | index(status,host(X37)) != elec_2
        | leq(index(pendack,host(X37)),host(X36))
        | ~ epred1_3(X19,X18,X17) )
      & ( ~ setIn(X40,alive)
        | ~ elem(m_Down(X39),queue(host(X40)))
        | host(X39) != host(X38)
        | ~ setIn(X38,alive)
        | index(ldr,host(X38)) != host(X38)
        | index(status,host(X38)) != norm
        | ~ epred1_3(X19,X18,X17) )
      & ( ~ setIn(X41,alive)
        | ~ setIn(X43,alive)
        | host(X43) != host(X42)
        | index(status,host(X41)) != elec_2
        | index(status,host(X43)) != elec_2
        | ~ elem(m_Ack(X41,X42),queue(host(X41)))
        | ~ epred1_3(X19,X18,X17) )
      & ( leq(host(X44),host(X45))
        | ~ setIn(X44,alive)
        | ~ setIn(X45,alive)
        | index(status,host(X44)) != elec_2
        | index(status,host(X45)) != elec_2
        | ~ leq(index(pendack,host(X44)),index(pendack,host(X45)))
        | ~ epred1_3(X19,X18,X17) )
      & ( leq(index(pendack,host(X48)),host(X46))
        | ~ setIn(X48,alive)
        | ~ elem(m_Halt(X48),queue(host(X47)))
        | index(status,host(X48)) != elec_2
        | ~ setIn(X46,alive)
        | index(ldr,host(X46)) != host(X46)
        | index(status,host(X46)) != norm
        | ~ epred1_3(X19,X18,X17) )
      & ( ~ leq(host(X52),esk8_7(X17,X18,X19,X49,X50,X51,X52))
        | ~ elem(m_Down(X51),queue(host(X52)))
        | host(X52) != host(X50)
        | host(X52) != nbr_proc
        | index(status,host(X52)) != elec_1
        | ~ setIn(X49,alive)
        | ~ elem(m_Down(X50),queue(host(X49)))
        | ~ epred1_3(X19,X18,X17) )
      & ( leq(s(zero),esk8_7(X17,X18,X19,X49,X50,X51,X52))
        | ~ elem(m_Down(X51),queue(host(X52)))
        | host(X52) != host(X50)
        | host(X52) != nbr_proc
        | index(status,host(X52)) != elec_1
        | ~ setIn(X49,alive)
        | ~ elem(m_Down(X50),queue(host(X49)))
        | ~ epred1_3(X19,X18,X17) )
      & ( ~ setIn(esk8_7(X17,X18,X19,X49,X50,X51,X52),index(down,host(X52)))
        | ~ elem(m_Down(X51),queue(host(X52)))
        | host(X52) != host(X50)
        | host(X52) != nbr_proc
        | index(status,host(X52)) != elec_1
        | ~ setIn(X49,alive)
        | ~ elem(m_Down(X50),queue(host(X49)))
        | ~ epred1_3(X19,X18,X17) )
      & ( esk8_7(X17,X18,X19,X49,X50,X51,X52) != host(X51)
        | ~ elem(m_Down(X51),queue(host(X52)))
        | host(X52) != host(X50)
        | host(X52) != nbr_proc
        | index(status,host(X52)) != elec_1
        | ~ setIn(X49,alive)
        | ~ elem(m_Down(X50),queue(host(X49)))
        | ~ epred1_3(X19,X18,X17) )
      & ( ~ setIn(X57,alive)
        | ~ elem(m_Ack(X57,X55),queue(host(X57)))
        | ~ elem(m_Down(X56),queue(host(X57)))
        | ~ leq(nbr_proc,s(index(pendack,host(X57))))
        | index(status,host(X57)) != elec_2
        | host(X55) != index(pendack,host(X57))
        | host(X56) != s(index(pendack,host(X57)))
        | ~ setIn(X54,alive)
        | index(ldr,host(X54)) != host(X54)
        | index(status,host(X54)) != norm
        | ~ epred1_3(X19,X18,X17) )
      & ( queue(host(X19)) = cons(m_Halt(X18),X17)
        | ~ epred1_3(X19,X18,X17) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_11])])])])])])])]) ).

fof(c_0_14,plain,
    ( ~ epred18_0
  <=> ! [X3,X2,X1] : ~ epred1_3(X1,X2,X3) ),
    introduced(definition) ).

fof(c_0_15,negated_conjecture,
    ( epred1_3(esk2_0,esk3_0,esk1_0)
    & setIn(esk2_0,alive)
    & host(esk2_0) != host(esk4_0)
    & host(esk3_0) = host(esk7_0)
    & host(esk2_0) != host(esk7_0)
    & setIn(esk7_0,alive)
    & leq(nbr_proc,s(index(pendack,host(esk7_0))))
    & elem(m_Down(esk6_0),snoc(queue(host(esk7_0)),m_Ack(esk3_0,esk2_0)))
    & elem(m_Ack(esk7_0,esk5_0),snoc(queue(host(esk7_0)),m_Ack(esk3_0,esk2_0)))
    & index(status,host(esk7_0)) = elec_2
    & host(esk5_0) = index(pendack,host(esk7_0))
    & host(esk6_0) = s(index(pendack,host(esk7_0)))
    & setIn(esk4_0,alive)
    & index(ldr,host(esk4_0)) = host(esk4_0)
    & index(status,host(esk4_0)) = norm ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])]) ).

fof(c_0_16,plain,
    ! [X4] : leq(host(X4),nbr_proc),
    inference(variable_rename,[status(thm)],[axiom_04]) ).

fof(c_0_17,plain,
    ( ~ epred16_0
  <=> ! [X7,X6,X5] :
        ( ~ elem(m_Down(X5),queue(host(X6)))
        | ~ elem(m_Ack(X6,X7),queue(host(X6)))
        | ~ setIn(X6,alive)
        | ~ leq(nbr_proc,s(index(pendack,host(X6))))
        | index(status,host(X6)) != elec_2
        | host(X7) != index(pendack,host(X6))
        | host(X5) != s(index(pendack,host(X6))) ) ),
    introduced(definition) ).

fof(c_0_18,plain,
    ( ~ epred17_0
  <=> ! [X4] :
        ( ~ setIn(X4,alive)
        | index(status,host(X4)) != norm
        | index(ldr,host(X4)) != host(X4) ) ),
    introduced(definition) ).

cnf(c_0_19,plain,
    ( ~ epred1_3(X1,X2,X3)
    | index(status,host(X4)) != norm
    | index(ldr,host(X4)) != host(X4)
    | ~ setIn(X4,alive)
    | host(X5) != s(index(pendack,host(X6)))
    | host(X7) != index(pendack,host(X6))
    | index(status,host(X6)) != elec_2
    | ~ leq(nbr_proc,s(index(pendack,host(X6))))
    | ~ elem(m_Down(X5),queue(host(X6)))
    | ~ elem(m_Ack(X6,X7),queue(host(X6)))
    | ~ setIn(X6,alive) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_20,plain,
    ( epred18_0
    | ~ epred1_3(X1,X2,X3) ),
    inference(split_equiv,[status(thm)],[c_0_14]) ).

cnf(c_0_21,negated_conjecture,
    epred1_3(esk2_0,esk3_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_22,plain,
    ! [X7,X8,X9,X7,X8,X9] :
      ( ( ~ elem(X7,snoc(X9,X8))
        | X7 = X8
        | elem(X7,X9) )
      & ( X7 != X8
        | elem(X7,snoc(X9,X8)) )
      & ( ~ elem(X7,X9)
        | elem(X7,snoc(X9,X8)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_47])])])])]) ).

fof(c_0_23,plain,
    ! [X7,X8,X7,X8] :
      ( ( ~ leq(X7,X8)
        | ~ leq(X8,X7)
        | X7 = X8 )
      & ( leq(X7,X8)
        | X7 != X8 )
      & ( leq(X8,X7)
        | X7 != X8 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])])])]) ).

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

cnf(c_0_25,negated_conjecture,
    host(esk6_0) = s(index(pendack,host(esk7_0))),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_26,plain,
    ( ~ epred18_0
    | ~ epred17_0
    | ~ epred16_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_19,c_0_17]),c_0_18]),c_0_14]) ).

cnf(c_0_27,negated_conjecture,
    epred18_0,
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_28,plain,
    ( epred17_0
    | index(ldr,host(X1)) != host(X1)
    | index(status,host(X1)) != norm
    | ~ setIn(X1,alive) ),
    inference(split_equiv,[status(thm)],[c_0_18]) ).

cnf(c_0_29,negated_conjecture,
    index(ldr,host(esk4_0)) = host(esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_30,negated_conjecture,
    index(status,host(esk4_0)) = norm,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_31,negated_conjecture,
    setIn(esk4_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_32,plain,
    ( ~ epred28_0
  <=> ! [X2] :
        ( ~ elem(m_Ack(esk7_0,X2),queue(host(esk7_0)))
        | host(X2) != index(pendack,host(esk7_0)) ) ),
    introduced(definition) ).

cnf(c_0_33,plain,
    ( elem(X1,X2)
    | X1 = X3
    | ~ elem(X1,snoc(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_34,negated_conjecture,
    elem(m_Ack(esk7_0,esk5_0),snoc(queue(host(esk7_0)),m_Ack(esk3_0,esk2_0))),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_35,plain,
    ( X1 = X2
    | ~ leq(X2,X1)
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_36,negated_conjecture,
    leq(nbr_proc,s(index(pendack,host(esk7_0)))),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_37,negated_conjecture,
    leq(s(index(pendack,host(esk7_0))),nbr_proc),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_38,plain,
    ( ~ epred17_0
    | ~ epred16_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]) ).

cnf(c_0_39,negated_conjecture,
    epred17_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31])]) ).

fof(c_0_40,plain,
    ! [X8,X9,X10] : m_Ack(X8,X9) != m_Down(X10),
    inference(variable_rename,[status(thm)],[axiom_12]) ).

fof(c_0_41,plain,
    ! [X12,X13,X14,X15] :
      ( X12 = X13
      | m_Ack(X12,X14) != m_Ack(X13,X15) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_31])])])]) ).

cnf(c_0_42,plain,
    ( epred28_0
    | host(X1) != index(pendack,host(esk7_0))
    | ~ elem(m_Ack(esk7_0,X1),queue(host(esk7_0))) ),
    inference(split_equiv,[status(thm)],[c_0_32]) ).

cnf(c_0_43,negated_conjecture,
    ( m_Ack(esk7_0,esk5_0) = m_Ack(esk3_0,esk2_0)
    | elem(m_Ack(esk7_0,esk5_0),queue(host(esk7_0))) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_44,negated_conjecture,
    host(esk5_0) = index(pendack,host(esk7_0)),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_45,negated_conjecture,
    nbr_proc = s(index(pendack,host(esk7_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).

cnf(c_0_46,plain,
    ~ epred16_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39])]) ).

fof(c_0_47,plain,
    ! [X6] : leq(X6,X6),
    inference(variable_rename,[status(thm)],[axiom_59]) ).

fof(c_0_48,plain,
    ( ~ epred27_0
  <=> ! [X1] :
        ( ~ elem(m_Down(X1),queue(host(esk7_0)))
        | host(X1) != s(index(pendack,host(esk7_0))) ) ),
    introduced(definition) ).

cnf(c_0_49,negated_conjecture,
    elem(m_Down(esk6_0),snoc(queue(host(esk7_0)),m_Ack(esk3_0,esk2_0))),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_50,plain,
    m_Ack(X1,X2) != m_Down(X3),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

fof(c_0_51,plain,
    ( ~ epred13_0
  <=> ! [X3,X2,X1] : ~ epred1_3(X1,X2,X3) ),
    introduced(definition) ).

cnf(c_0_52,plain,
    ( X1 = X3
    | m_Ack(X1,X2) != m_Ack(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_53,negated_conjecture,
    ( m_Ack(esk7_0,esk5_0) = m_Ack(esk3_0,esk2_0)
    | epred28_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]) ).

cnf(c_0_54,plain,
    ( host(X1) != s(index(pendack,host(X2)))
    | host(X3) != index(pendack,host(X2))
    | index(status,host(X2)) != elec_2
    | ~ leq(s(index(pendack,host(esk7_0))),s(index(pendack,host(X2))))
    | ~ setIn(X2,alive)
    | ~ elem(m_Ack(X2,X3),queue(host(X2)))
    | ~ elem(m_Down(X1),queue(host(X2))) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_17]),c_0_45]),c_0_46]) ).

cnf(c_0_55,plain,
    leq(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_56,negated_conjecture,
    index(status,host(esk7_0)) = elec_2,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_57,negated_conjecture,
    setIn(esk7_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_58,plain,
    ( epred27_0
    | host(X1) != s(index(pendack,host(esk7_0)))
    | ~ elem(m_Down(X1),queue(host(esk7_0))) ),
    inference(split_equiv,[status(thm)],[c_0_48]) ).

cnf(c_0_59,negated_conjecture,
    elem(m_Down(esk6_0),queue(host(esk7_0))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_49]),c_0_50]) ).

fof(c_0_60,plain,
    ( ~ epred12_0
  <=> ! [X6,X5,X4] :
        ( ~ elem(m_Down(X5),queue(host(X6)))
        | ~ setIn(X4,alive)
        | ~ setIn(X6,alive)
        | host(X4) != host(X5)
        | index(status,host(X4)) != norm
        | index(ldr,host(X4)) != host(X4) ) ),
    introduced(definition) ).

cnf(c_0_61,plain,
    ( ~ epred1_3(X1,X2,X3)
    | index(status,host(X4)) != norm
    | index(ldr,host(X4)) != host(X4)
    | ~ setIn(X4,alive)
    | host(X5) != host(X4)
    | ~ elem(m_Down(X5),queue(host(X6)))
    | ~ setIn(X6,alive) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_62,plain,
    ( epred13_0
    | ~ epred1_3(X1,X2,X3) ),
    inference(split_equiv,[status(thm)],[c_0_51]) ).

cnf(c_0_63,negated_conjecture,
    ( esk7_0 = X1
    | epred28_0
    | m_Ack(esk3_0,esk2_0) != m_Ack(X1,X2) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_64,plain,
    ( ~ epred28_0
    | ~ epred27_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),c_0_57])]),c_0_48]),c_0_32]) ).

cnf(c_0_65,negated_conjecture,
    epred27_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_25])]) ).

cnf(c_0_66,plain,
    ( ~ epred13_0
    | ~ epred12_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_61,c_0_60]),c_0_51]) ).

cnf(c_0_67,negated_conjecture,
    epred13_0,
    inference(spm,[status(thm)],[c_0_62,c_0_21]) ).

cnf(c_0_68,negated_conjecture,
    ( esk3_0 = esk7_0
    | epred28_0 ),
    inference(er,[status(thm)],[c_0_63]) ).

cnf(c_0_69,plain,
    ~ epred28_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65])]) ).

cnf(c_0_70,plain,
    ~ epred12_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67])]) ).

fof(c_0_71,plain,
    ! [X7,X8,X7,X8] :
      ( ( ~ leq(X7,s(X8))
        | X7 = s(X8)
        | leq(X7,X8) )
      & ( X7 != s(X8)
        | leq(X7,s(X8)) )
      & ( ~ leq(X7,X8)
        | leq(X7,s(X8)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_64])])])])]) ).

fof(c_0_72,plain,
    ! [X12,X13,X14,X15] :
      ( X14 = X15
      | m_Ack(X12,X14) != m_Ack(X13,X15) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_32])]) ).

cnf(c_0_73,negated_conjecture,
    esk3_0 = esk7_0,
    inference(sr,[status(thm)],[c_0_68,c_0_69]) ).

fof(c_0_74,plain,
    ! [X7,X8,X9,X7,X8,X9] :
      ( ( ~ elem(X7,cons(X8,X9))
        | X7 = X8
        | elem(X7,X9) )
      & ( X7 != X8
        | elem(X7,cons(X8,X9)) )
      & ( ~ elem(X7,X9)
        | elem(X7,cons(X8,X9)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_46])])])])]) ).

cnf(c_0_75,plain,
    ( index(ldr,host(X1)) != host(X1)
    | index(status,host(X1)) != norm
    | host(X1) != host(X2)
    | ~ setIn(X1,alive)
    | ~ setIn(X3,alive)
    | ~ elem(m_Down(X2),queue(host(X3))) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_60]),c_0_70]) ).

cnf(c_0_76,plain,
    ( leq(X1,X2)
    | X1 = s(X2)
    | ~ leq(X1,s(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_77,plain,
    leq(host(X1),s(index(pendack,host(esk7_0)))),
    inference(rw,[status(thm)],[c_0_24,c_0_45]) ).

cnf(c_0_78,plain,
    ( X2 = X4
    | m_Ack(X1,X2) != m_Ack(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_79,negated_conjecture,
    m_Ack(esk7_0,esk5_0) = m_Ack(esk7_0,esk2_0),
    inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_53,c_0_69]),c_0_73]) ).

cnf(c_0_80,plain,
    ( elem(X1,cons(X2,X3))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_81,plain,
    ( queue(host(X1)) = cons(m_Halt(X2),X3)
    | ~ epred1_3(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_82,negated_conjecture,
    ( host(X1) != s(index(pendack,host(esk7_0)))
    | index(ldr,host(X1)) != host(X1)
    | index(status,host(X1)) != norm
    | ~ setIn(X1,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_59]),c_0_25]),c_0_57])]) ).

cnf(c_0_83,plain,
    ( host(X1) = s(index(pendack,host(esk7_0)))
    | leq(host(X1),index(pendack,host(esk7_0))) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_84,negated_conjecture,
    ( X1 = esk5_0
    | m_Ack(X2,X1) != m_Ack(esk7_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_85,plain,
    elem(X1,cons(X1,X2)),
    inference(er,[status(thm)],[c_0_80]) ).

cnf(c_0_86,negated_conjecture,
    cons(m_Halt(esk3_0),esk1_0) = queue(host(esk2_0)),
    inference(spm,[status(thm)],[c_0_81,c_0_21]) ).

cnf(c_0_87,negated_conjecture,
    host(esk4_0) != s(index(pendack,host(esk7_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_29]),c_0_30]),c_0_31])]) ).

cnf(c_0_88,plain,
    ( host(X1) = host(X2)
    | leq(host(X1),index(pendack,host(esk7_0)))
    | leq(host(X2),index(pendack,host(esk7_0))) ),
    inference(pm,[status(thm)],[c_0_83,c_0_83]) ).

cnf(c_0_89,negated_conjecture,
    esk5_0 = esk2_0,
    inference(er,[status(thm)],[c_0_84]) ).

cnf(c_0_90,plain,
    ( leq(index(pendack,host(X5)),host(X4))
    | ~ epred1_3(X1,X2,X3)
    | index(status,host(X4)) != norm
    | index(ldr,host(X4)) != host(X4)
    | ~ setIn(X4,alive)
    | index(status,host(X5)) != elec_2
    | ~ elem(m_Halt(X5),queue(host(X6)))
    | ~ setIn(X5,alive) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_91,negated_conjecture,
    elem(m_Halt(esk3_0),queue(host(esk2_0))),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_92,negated_conjecture,
    host(esk3_0) = host(esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_93,negated_conjecture,
    ( leq(host(esk4_0),index(pendack,host(esk7_0)))
    | leq(host(X1),index(pendack,host(esk7_0))) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_87,c_0_88]),c_0_83]) ).

cnf(c_0_94,negated_conjecture,
    host(esk2_0) != host(esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_95,negated_conjecture,
    host(esk2_0) = index(pendack,host(esk7_0)),
    inference(rw,[status(thm)],[c_0_44,c_0_89]) ).

cnf(c_0_96,plain,
    ( leq(index(pendack,host(esk7_0)),host(X1))
    | index(ldr,host(X1)) != host(X1)
    | index(status,host(X1)) != norm
    | ~ epred1_3(X2,X3,X4)
    | ~ setIn(esk3_0,alive)
    | ~ setIn(X1,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]),c_0_92]),c_0_56])]) ).

cnf(c_0_97,negated_conjecture,
    leq(host(esk4_0),index(pendack,host(esk7_0))),
    inference(ef,[status(thm)],[c_0_93]) ).

cnf(c_0_98,negated_conjecture,
    host(esk4_0) != index(pendack,host(esk7_0)),
    inference(rw,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_99,negated_conjecture,
    ( epred28_0
    | epred1_3(esk2_0,esk7_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_21,c_0_68]) ).

cnf(c_0_100,plain,
    ( leq(index(pendack,host(esk7_0)),host(X1))
    | index(ldr,host(X1)) != host(X1)
    | index(status,host(X1)) != norm
    | ~ epred1_3(X2,X3,X4)
    | ~ setIn(X1,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_73]),c_0_57])]) ).

cnf(c_0_101,negated_conjecture,
    ~ leq(index(pendack,host(esk7_0)),host(esk4_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_97]),c_0_98]) ).

cnf(c_0_102,negated_conjecture,
    epred1_3(esk2_0,esk7_0,esk1_0),
    inference(sr,[status(thm)],[c_0_99,c_0_69]) ).

cnf(c_0_103,negated_conjecture,
    ~ epred1_3(X1,X2,X3),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_29]),c_0_30]),c_0_31])]),c_0_101]) ).

cnf(c_0_104,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_102,c_0_103]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV462+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun 14 19:23:55 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.38/23.40  eprover: CPU time limit exceeded, terminating
% 0.38/23.41  eprover: CPU time limit exceeded, terminating
% 0.38/23.41  eprover: CPU time limit exceeded, terminating
% 0.38/23.42  eprover: CPU time limit exceeded, terminating
% 0.40/26.59  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.40/26.59  
% 0.40/26.59  # Failure: Resource limit exceeded (time)
% 0.40/26.59  # OLD status Res
% 0.40/26.59  # Preprocessing time       : 0.021 s
% 0.40/26.59  # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.40/26.59  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.40/26.59  # Preprocessing time       : 0.022 s
% 0.40/26.59  
% 0.40/26.59  # Proof found!
% 0.40/26.59  # SZS status Theorem
% 0.40/26.59  # SZS output start CNFRefutation
% See solution above
% 0.40/26.59  # Proof object total steps             : 105
% 0.40/26.59  # Proof object clause steps            : 74
% 0.40/26.59  # Proof object formula steps           : 31
% 0.40/26.59  # Proof object conjectures             : 44
% 0.40/26.59  # Proof object clause conjectures      : 41
% 0.40/26.59  # Proof object formula conjectures     : 3
% 0.40/26.59  # Proof object initial clauses used    : 31
% 0.40/26.59  # Proof object initial formulas used   : 10
% 0.40/26.59  # Proof object generating inferences   : 26
% 0.40/26.59  # Proof object simplifying inferences  : 59
% 0.40/26.59  # Training examples: 0 positive, 0 negative
% 0.40/26.59  # Parsed axioms                        : 67
% 0.40/26.59  # Removed by relevancy pruning/SinE    : 14
% 0.40/26.59  # Initial clauses                      : 102
% 0.40/26.59  # Removed in clause preprocessing      : 6
% 0.40/26.59  # Initial clauses in saturation        : 96
% 0.40/26.59  # Processed clauses                    : 5907
% 0.40/26.59  # ...of these trivial                  : 145
% 0.40/26.59  # ...subsumed                          : 4173
% 0.40/26.59  # ...remaining for further processing  : 1589
% 0.40/26.59  # Other redundant clauses eliminated   : 15
% 0.40/26.59  # Clauses deleted for lack of memory   : 0
% 0.40/26.59  # Backward-subsumed                    : 135
% 0.40/26.59  # Backward-rewritten                   : 142
% 0.40/26.59  # Generated clauses                    : 63024
% 0.40/26.59  # ...of the previous two non-trivial   : 47344
% 0.40/26.59  # Contextual simplify-reflections      : 2057
% 0.40/26.59  # Paramodulations                      : 62744
% 0.40/26.59  # Factorizations                       : 45
% 0.40/26.59  # Equation resolutions                 : 128
% 0.40/26.59  # Current number of processed clauses  : 1290
% 0.40/26.59  #    Positive orientable unit clauses  : 72
% 0.40/26.59  #    Positive unorientable unit clauses: 0
% 0.40/26.59  #    Negative unit clauses             : 124
% 0.40/26.59  #    Non-unit-clauses                  : 1094
% 0.40/26.59  # Current number of unprocessed clauses: 35714
% 0.40/26.59  # ...number of literals in the above   : 136569
% 0.40/26.59  # Current number of archived formulas  : 0
% 0.40/26.59  # Current number of archived clauses   : 287
% 0.40/26.59  # Clause-clause subsumption calls (NU) : 1309657
% 0.40/26.59  # Rec. Clause-clause subsumption calls : 501883
% 0.40/26.59  # Non-unit clause-clause subsumptions  : 4273
% 0.40/26.59  # Unit Clause-clause subsumption calls : 6997
% 0.40/26.59  # Rewrite failures with RHS unbound    : 0
% 0.40/26.59  # BW rewrite match attempts            : 218
% 0.40/26.59  # BW rewrite match successes           : 38
% 0.40/26.59  # Condensation attempts                : 0
% 0.40/26.59  # Condensation successes               : 0
% 0.40/26.59  # Termbank termtop insertions          : 1020023
% 0.40/26.59  
% 0.40/26.59  # -------------------------------------------------
% 0.40/26.59  # User time                : 2.430 s
% 0.40/26.59  # System time              : 0.016 s
% 0.40/26.59  # Total time               : 2.446 s
% 0.40/26.59  # Maximum resident set size: 30904 pages
% 0.40/46.42  eprover: CPU time limit exceeded, terminating
% 0.40/46.43  eprover: CPU time limit exceeded, terminating
% 0.40/46.43  eprover: CPU time limit exceeded, terminating
% 0.40/46.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.44  eprover: No such file or directory
% 0.40/46.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.44  eprover: No such file or directory
% 0.40/46.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.44  eprover: No such file or directory
% 0.40/46.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.45  eprover: No such file or directory
% 0.40/46.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.45  eprover: No such file or directory
% 0.40/46.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.45  eprover: No such file or directory
% 0.40/46.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.45  eprover: No such file or directory
% 0.40/46.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.45  eprover: No such file or directory
% 0.40/46.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.45  eprover: No such file or directory
% 0.40/46.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.45  eprover: No such file or directory
% 0.40/46.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.46  eprover: No such file or directory
% 0.40/46.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.46  eprover: No such file or directory
% 0.40/46.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.46  eprover: No such file or directory
% 0.40/46.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.46  eprover: No such file or directory
% 0.40/46.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.46  eprover: No such file or directory
% 0.40/46.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.46  eprover: No such file or directory
% 0.40/46.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.47  eprover: No such file or directory
% 0.40/46.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.47  eprover: No such file or directory
% 0.40/46.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.47  eprover: No such file or directory
% 0.40/46.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.47  eprover: No such file or directory
% 0.40/46.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.47  eprover: No such file or directory
% 0.40/46.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.47  eprover: No such file or directory
% 0.40/46.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.48  eprover: No such file or directory
% 0.40/46.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.48  eprover: No such file or directory
% 0.40/46.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.48  eprover: No such file or directory
% 0.40/46.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.48  eprover: No such file or directory
% 0.40/46.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.40/46.48  eprover: No such file or directory
% 0.40/46.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.48  eprover: No such file or directory
% 0.40/46.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.49  eprover: No such file or directory
% 0.40/46.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.40/46.49  eprover: No such file or directory
%------------------------------------------------------------------------------