TSTP Solution File: SWV471+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWV471+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n023.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 18:16:55 EDT 2022

% Result   : Theorem 0.43s 28.62s
% Output   : CNFRefutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   52 (  20 unt;   0 def)
%            Number of atoms       :  427 ( 182 equ)
%            Maximal formula atoms :   86 (   8 avg)
%            Number of connectives :  603 ( 228   ~; 169   |; 150   &)
%                                         (   6 <=>;  50  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   53 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   4 prp; 0-3 aty)
%            Number of functors    :   30 (  30 usr;  18 con; 0-7 aty)
%            Number of variables   :  241 (  13 sgn 167   !;   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] :
            ( host(X7) = nbr_proc
           => ~ elem(m_NotNorm(X6),queue(host(X7))) )
        & ! [X6,X7] :
            ( ( X7 != X6
              & host(X7) = host(X6) )
           => ( ~ setIn(X6,alive)
              | ~ setIn(X7,alive) ) )
        & ! [X6] :
            ( ( ( index(status,host(X6)) = elec_1
                | index(status,host(X6)) = elec_2 )
              & setIn(X6,alive) )
           => index(elid,host(X6)) = X6 )
        & ! [X6,X7,X14] :
            ( ( host(X14) != host(X7)
              & setIn(X14,alive)
              & host(X14) = host(X6)
              & index(ldr,host(X14)) = host(X7)
              & index(status,host(X14)) = norm )
           => ~ elem(m_Down(X6),queue(host(X7))) )
        & ! [X6,X7,X14] :
            ( ( host(X14) != host(X7)
              & setIn(X14,alive)
              & host(X14) = host(X6)
              & index(status,host(X14)) = wait
              & host(index(elid,host(X14))) = host(X7) )
           => ~ elem(m_Down(X6),queue(host(X7))) )
        & ! [X6,X7,X15,X14] :
            ( ( host(X15) != host(X6)
              & setIn(X6,alive)
              & setIn(X15,alive)
              & host(X7) = host(X6)
              & host(X14) = host(X15) )
           => ~ ( elem(m_Down(X14),queue(host(X6)))
                & elem(m_Down(X7),queue(host(X15))) ) )
        & ! [X6,X7,X15,X14] :
            ( ( host(X15) != host(X6)
              & setIn(X6,alive)
              & setIn(X15,alive)
              & host(X7) = host(X6)
              & host(X14) = host(X15) )
           => ~ ( elem(m_Down(X14),queue(host(X6)))
                & setIn(host(X7),index(down,host(X15))) ) )
        & ! [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))) ) )
        & queue(host(X13)) = cons(m_Halt(X5),X12) )
     => ( setIn(X13,alive)
       => ! [X6] :
            ( host(X5) != host(X6)
           => ( host(X13) = host(X6)
             => ! [X7,X17,X18] :
                  ( host(X5) = host(X18)
                 => ( host(X13) != host(X18)
                   => ( ( ! [X16] :
                            ( ( ~ leq(host(X18),X16)
                              & leq(s(zero),X16) )
                           => ( setIn(X16,index(down,host(X18)))
                              | X16 = host(X17) ) )
                        & elem(m_Down(X17),snoc(queue(host(X18)),m_Ack(X5,X13)))
                        & host(X18) = host(X7)
                        & host(X18) = nbr_proc
                        & index(status,host(X18)) = elec_1 )
                     => ~ ( setIn(X6,alive)
                          & elem(m_Down(X7),X12) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj) ).

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

fof(axiom_47,axiom,
    ! [X5,X6,X4] :
      ( elem(X5,snoc(X4,X6))
    <=> ( X5 = X6
        | elem(X5,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_47) ).

fof(axiom_12,axiom,
    ! [X5,X6,X7] : m_Ack(X5,X6) != m_Down(X7),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_12) ).

fof(c_0_4,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] :
            ( host(X7) = nbr_proc
           => ~ elem(m_NotNorm(X6),queue(host(X7))) )
        & ! [X6,X7] :
            ( ( X7 != X6
              & host(X7) = host(X6) )
           => ( ~ setIn(X6,alive)
              | ~ setIn(X7,alive) ) )
        & ! [X6] :
            ( ( ( index(status,host(X6)) = elec_1
                | index(status,host(X6)) = elec_2 )
              & setIn(X6,alive) )
           => index(elid,host(X6)) = X6 )
        & ! [X6,X7,X14] :
            ( ( host(X14) != host(X7)
              & setIn(X14,alive)
              & host(X14) = host(X6)
              & index(ldr,host(X14)) = host(X7)
              & index(status,host(X14)) = norm )
           => ~ elem(m_Down(X6),queue(host(X7))) )
        & ! [X6,X7,X14] :
            ( ( host(X14) != host(X7)
              & setIn(X14,alive)
              & host(X14) = host(X6)
              & index(status,host(X14)) = wait
              & host(index(elid,host(X14))) = host(X7) )
           => ~ elem(m_Down(X6),queue(host(X7))) )
        & ! [X6,X7,X15,X14] :
            ( ( host(X15) != host(X6)
              & setIn(X6,alive)
              & setIn(X15,alive)
              & host(X7) = host(X6)
              & host(X14) = host(X15) )
           => ~ ( elem(m_Down(X14),queue(host(X6)))
                & elem(m_Down(X7),queue(host(X15))) ) )
        & ! [X6,X7,X15,X14] :
            ( ( host(X15) != host(X6)
              & setIn(X6,alive)
              & setIn(X15,alive)
              & host(X7) = host(X6)
              & host(X14) = host(X15) )
           => ~ ( elem(m_Down(X14),queue(host(X6)))
                & setIn(host(X7),index(down,host(X15))) ) )
        & ! [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))) ) )
        & queue(host(X13)) = cons(m_Halt(X5),X12) ) ),
    introduced(definition) ).

fof(c_0_5,negated_conjecture,
    ~ ! [X12,X13,X5] :
        ( epred1_3(X13,X5,X12)
       => ( setIn(X13,alive)
         => ! [X6] :
              ( host(X5) != host(X6)
             => ( host(X13) = host(X6)
               => ! [X7,X17,X18] :
                    ( host(X5) = host(X18)
                   => ( host(X13) != host(X18)
                     => ( ( ! [X16] :
                              ( ( ~ leq(host(X18),X16)
                                & leq(s(zero),X16) )
                             => ( setIn(X16,index(down,host(X18)))
                                | X16 = host(X17) ) )
                          & elem(m_Down(X17),snoc(queue(host(X18)),m_Ack(X5,X13)))
                          & host(X18) = host(X7)
                          & host(X18) = nbr_proc
                          & index(status,host(X18)) = elec_1 )
                       => ~ ( setIn(X6,alive)
                            & elem(m_Down(X7),X12) ) ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[conj]),c_0_4]) ).

fof(c_0_6,negated_conjecture,
    ! [X26] :
      ( epred1_3(esk2_0,esk3_0,esk1_0)
      & setIn(esk2_0,alive)
      & host(esk3_0) != host(esk4_0)
      & host(esk2_0) = host(esk4_0)
      & host(esk3_0) = host(esk7_0)
      & host(esk2_0) != host(esk7_0)
      & ( leq(host(esk7_0),X26)
        | ~ leq(s(zero),X26)
        | setIn(X26,index(down,host(esk7_0)))
        | X26 = host(esk6_0) )
      & elem(m_Down(esk6_0),snoc(queue(host(esk7_0)),m_Ack(esk3_0,esk2_0)))
      & host(esk7_0) = host(esk5_0)
      & host(esk7_0) = nbr_proc
      & index(status,host(esk7_0)) = elec_1
      & setIn(esk4_0,alive)
      & elem(m_Down(esk5_0),esk1_0) ),
    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_5])])])])])])]) ).

fof(c_0_7,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] :
            ( host(X7) = nbr_proc
           => ~ elem(m_NotNorm(X6),queue(host(X7))) )
        & ! [X6,X7] :
            ( ( X7 != X6
              & host(X7) = host(X6) )
           => ( ~ setIn(X6,alive)
              | ~ setIn(X7,alive) ) )
        & ! [X6] :
            ( ( ( index(status,host(X6)) = elec_1
                | index(status,host(X6)) = elec_2 )
              & setIn(X6,alive) )
           => index(elid,host(X6)) = X6 )
        & ! [X6,X7,X14] :
            ( ( host(X14) != host(X7)
              & setIn(X14,alive)
              & host(X14) = host(X6)
              & index(ldr,host(X14)) = host(X7)
              & index(status,host(X14)) = norm )
           => ~ elem(m_Down(X6),queue(host(X7))) )
        & ! [X6,X7,X14] :
            ( ( host(X14) != host(X7)
              & setIn(X14,alive)
              & host(X14) = host(X6)
              & index(status,host(X14)) = wait
              & host(index(elid,host(X14))) = host(X7) )
           => ~ elem(m_Down(X6),queue(host(X7))) )
        & ! [X6,X7,X15,X14] :
            ( ( host(X15) != host(X6)
              & setIn(X6,alive)
              & setIn(X15,alive)
              & host(X7) = host(X6)
              & host(X14) = host(X15) )
           => ~ ( elem(m_Down(X14),queue(host(X6)))
                & elem(m_Down(X7),queue(host(X15))) ) )
        & ! [X6,X7,X15,X14] :
            ( ( host(X15) != host(X6)
              & setIn(X6,alive)
              & setIn(X15,alive)
              & host(X7) = host(X6)
              & host(X14) = host(X15) )
           => ~ ( elem(m_Down(X14),queue(host(X6)))
                & setIn(host(X7),index(down,host(X15))) ) )
        & ! [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))) ) )
        & queue(host(X13)) = cons(m_Halt(X5),X12) ) ),
    inference(split_equiv,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    ( X1 = host(esk6_0)
    | setIn(X1,index(down,host(esk7_0)))
    | leq(host(esk7_0),X1)
    | ~ leq(s(zero),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    host(esk7_0) = nbr_proc,
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_10,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] :
      ( ( ~ 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) )
      & ( host(X25) != nbr_proc
        | ~ elem(m_NotNorm(X24),queue(host(X25)))
        | ~ epred1_3(X19,X18,X17) )
      & ( X27 = X26
        | host(X27) != host(X26)
        | ~ setIn(X26,alive)
        | ~ setIn(X27,alive)
        | ~ epred1_3(X19,X18,X17) )
      & ( index(status,host(X28)) != elec_1
        | ~ setIn(X28,alive)
        | index(elid,host(X28)) = X28
        | ~ epred1_3(X19,X18,X17) )
      & ( index(status,host(X28)) != elec_2
        | ~ setIn(X28,alive)
        | index(elid,host(X28)) = X28
        | ~ epred1_3(X19,X18,X17) )
      & ( host(X31) = host(X30)
        | ~ setIn(X31,alive)
        | host(X31) != host(X29)
        | index(ldr,host(X31)) != host(X30)
        | index(status,host(X31)) != norm
        | ~ elem(m_Down(X29),queue(host(X30)))
        | ~ epred1_3(X19,X18,X17) )
      & ( host(X34) = host(X33)
        | ~ setIn(X34,alive)
        | host(X34) != host(X32)
        | index(status,host(X34)) != wait
        | host(index(elid,host(X34))) != host(X33)
        | ~ elem(m_Down(X32),queue(host(X33)))
        | ~ epred1_3(X19,X18,X17) )
      & ( host(X37) = host(X35)
        | ~ setIn(X35,alive)
        | ~ setIn(X37,alive)
        | host(X36) != host(X35)
        | host(X38) != host(X37)
        | ~ elem(m_Down(X38),queue(host(X35)))
        | ~ elem(m_Down(X36),queue(host(X37)))
        | ~ epred1_3(X19,X18,X17) )
      & ( host(X41) = host(X39)
        | ~ setIn(X39,alive)
        | ~ setIn(X41,alive)
        | host(X40) != host(X39)
        | host(X42) != host(X41)
        | ~ elem(m_Down(X42),queue(host(X39)))
        | ~ setIn(host(X40),index(down,host(X41)))
        | ~ epred1_3(X19,X18,X17) )
      & ( ~ leq(host(X46),esk8_7(X17,X18,X19,X43,X44,X45,X46))
        | ~ elem(m_Down(X45),queue(host(X46)))
        | host(X46) != host(X44)
        | host(X46) != nbr_proc
        | index(status,host(X46)) != elec_1
        | ~ setIn(X43,alive)
        | ~ elem(m_Down(X44),queue(host(X43)))
        | ~ epred1_3(X19,X18,X17) )
      & ( leq(s(zero),esk8_7(X17,X18,X19,X43,X44,X45,X46))
        | ~ elem(m_Down(X45),queue(host(X46)))
        | host(X46) != host(X44)
        | host(X46) != nbr_proc
        | index(status,host(X46)) != elec_1
        | ~ setIn(X43,alive)
        | ~ elem(m_Down(X44),queue(host(X43)))
        | ~ epred1_3(X19,X18,X17) )
      & ( ~ setIn(esk8_7(X17,X18,X19,X43,X44,X45,X46),index(down,host(X46)))
        | ~ elem(m_Down(X45),queue(host(X46)))
        | host(X46) != host(X44)
        | host(X46) != nbr_proc
        | index(status,host(X46)) != elec_1
        | ~ setIn(X43,alive)
        | ~ elem(m_Down(X44),queue(host(X43)))
        | ~ epred1_3(X19,X18,X17) )
      & ( esk8_7(X17,X18,X19,X43,X44,X45,X46) != host(X45)
        | ~ elem(m_Down(X45),queue(host(X46)))
        | host(X46) != host(X44)
        | host(X46) != nbr_proc
        | index(status,host(X46)) != elec_1
        | ~ setIn(X43,alive)
        | ~ elem(m_Down(X44),queue(host(X43)))
        | ~ 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_7])])])])])])])]) ).

cnf(c_0_11,negated_conjecture,
    index(status,host(esk7_0)) = elec_1,
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12,negated_conjecture,
    ( X1 = host(esk6_0)
    | leq(nbr_proc,X1)
    | setIn(X1,index(down,nbr_proc))
    | ~ leq(s(zero),X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_9]) ).

cnf(c_0_13,plain,
    ( leq(s(zero),esk8_7(X3,X2,X1,X5,X4,X7,X6))
    | ~ epred1_3(X1,X2,X3)
    | ~ elem(m_Down(X4),queue(host(X5)))
    | ~ setIn(X5,alive)
    | index(status,host(X6)) != elec_1
    | host(X6) != nbr_proc
    | host(X6) != host(X4)
    | ~ elem(m_Down(X7),queue(host(X6))) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,plain,
    ( ~ epred1_3(X1,X2,X3)
    | ~ elem(m_Down(X4),queue(host(X5)))
    | ~ setIn(X5,alive)
    | index(status,host(X6)) != elec_1
    | host(X6) != nbr_proc
    | host(X6) != host(X4)
    | ~ elem(m_Down(X7),queue(host(X6)))
    | ~ setIn(esk8_7(X3,X2,X1,X5,X4,X7,X6),index(down,host(X6))) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    index(status,nbr_proc) = elec_1,
    inference(rw,[status(thm)],[c_0_11,c_0_9]) ).

cnf(c_0_16,plain,
    ( ~ epred1_3(X1,X2,X3)
    | ~ elem(m_Down(X4),queue(host(X5)))
    | ~ setIn(X5,alive)
    | index(status,host(X6)) != elec_1
    | host(X6) != nbr_proc
    | host(X6) != host(X4)
    | ~ elem(m_Down(X7),queue(host(X6)))
    | ~ leq(host(X6),esk8_7(X3,X2,X1,X5,X4,X7,X6)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_17,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_18,plain,
    ( queue(host(X1)) = cons(m_Halt(X2),X3)
    | ~ epred1_3(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_19,negated_conjecture,
    epred1_3(esk2_0,esk3_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_20,negated_conjecture,
    ( esk8_7(X1,X2,X3,X4,X5,X6,X7) = host(esk6_0)
    | leq(nbr_proc,esk8_7(X1,X2,X3,X4,X5,X6,X7))
    | setIn(esk8_7(X1,X2,X3,X4,X5,X6,X7),index(down,nbr_proc))
    | index(status,host(X7)) != elec_1
    | host(X5) != host(X7)
    | host(X7) != nbr_proc
    | ~ epred1_3(X3,X2,X1)
    | ~ setIn(X4,alive)
    | ~ elem(m_Down(X6),queue(host(X7)))
    | ~ elem(m_Down(X5),queue(host(X4))) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_21,negated_conjecture,
    ( host(X1) != nbr_proc
    | ~ epred1_3(X2,X3,X4)
    | ~ setIn(esk8_7(X4,X3,X2,X5,X1,X6,esk7_0),index(down,nbr_proc))
    | ~ setIn(X5,alive)
    | ~ elem(m_Down(X1),queue(host(X5)))
    | ~ elem(m_Down(X6),queue(nbr_proc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_9]),c_0_15])]) ).

cnf(c_0_22,negated_conjecture,
    ( host(X1) != nbr_proc
    | ~ epred1_3(X2,X3,X4)
    | ~ leq(nbr_proc,esk8_7(X4,X3,X2,X5,X1,X6,esk7_0))
    | ~ setIn(X5,alive)
    | ~ elem(m_Down(X1),queue(host(X5)))
    | ~ elem(m_Down(X6),queue(nbr_proc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_9]),c_0_15])]) ).

fof(c_0_23,plain,
    ( ~ epred50_0
  <=> ! [X1,X2,X3] : ~ epred1_3(X3,X2,X1) ),
    introduced(definition) ).

cnf(c_0_24,plain,
    ( elem(X1,cons(X2,X3))
    | ~ elem(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25,negated_conjecture,
    cons(m_Halt(esk3_0),esk1_0) = queue(host(esk2_0)),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

fof(c_0_26,plain,
    ( ~ epred48_0
  <=> ! [X6] :
        ( ~ elem(m_Down(X6),queue(nbr_proc))
        | host(esk6_0) != host(X6) ) ),
    introduced(definition) ).

fof(c_0_27,plain,
    ( ~ epred49_0
  <=> ! [X4,X5] :
        ( ~ elem(m_Down(X5),queue(host(X4)))
        | ~ setIn(X4,alive)
        | host(X5) != nbr_proc ) ),
    introduced(definition) ).

cnf(c_0_28,plain,
    ( ~ epred1_3(X1,X2,X3)
    | ~ elem(m_Down(X4),queue(host(X5)))
    | ~ setIn(X5,alive)
    | index(status,host(X6)) != elec_1
    | host(X6) != nbr_proc
    | host(X6) != host(X4)
    | ~ elem(m_Down(X7),queue(host(X6)))
    | esk8_7(X3,X2,X1,X5,X4,X7,X6) != host(X7) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_29,negated_conjecture,
    ( esk8_7(X1,X2,X3,X4,X5,X6,esk7_0) = host(esk6_0)
    | host(X5) != nbr_proc
    | ~ epred1_3(X3,X2,X1)
    | ~ setIn(X4,alive)
    | ~ elem(m_Down(X5),queue(host(X4)))
    | ~ elem(m_Down(X6),queue(nbr_proc)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_9]),c_0_15])]),c_0_21]),c_0_22]) ).

cnf(c_0_30,plain,
    ( epred50_0
    | ~ epred1_3(X1,X2,X3) ),
    inference(split_equiv,[status(thm)],[c_0_23]) ).

cnf(c_0_31,negated_conjecture,
    ( elem(X1,queue(host(esk2_0)))
    | ~ elem(X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_32,negated_conjecture,
    elem(m_Down(esk5_0),esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_33,negated_conjecture,
    host(esk7_0) = host(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_34,plain,
    ( ~ epred50_0
    | ~ epred49_0
    | ~ epred48_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_28,c_0_29]),c_0_9]),c_0_15]),c_0_9]),c_0_9]),c_0_9])]),c_0_26]),c_0_27]),c_0_23]) ).

cnf(c_0_35,negated_conjecture,
    epred50_0,
    inference(spm,[status(thm)],[c_0_30,c_0_19]) ).

cnf(c_0_36,plain,
    ( epred49_0
    | host(X1) != nbr_proc
    | ~ setIn(X2,alive)
    | ~ elem(m_Down(X1),queue(host(X2))) ),
    inference(split_equiv,[status(thm)],[c_0_27]) ).

cnf(c_0_37,negated_conjecture,
    elem(m_Down(esk5_0),queue(host(esk2_0))),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_38,negated_conjecture,
    host(esk5_0) = nbr_proc,
    inference(rw,[status(thm)],[c_0_33,c_0_9]) ).

cnf(c_0_39,negated_conjecture,
    setIn(esk2_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_40,plain,
    ( ~ epred49_0
    | ~ epred48_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).

cnf(c_0_41,negated_conjecture,
    epred49_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39])]) ).

fof(c_0_42,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])])])])]) ).

cnf(c_0_43,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_6]) ).

fof(c_0_44,plain,
    ! [X8,X9,X10] : m_Ack(X8,X9) != m_Down(X10),
    inference(variable_rename,[status(thm)],[axiom_12]) ).

cnf(c_0_45,plain,
    ~ epred48_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41])]) ).

cnf(c_0_46,plain,
    ( elem(X1,X2)
    | X1 = X3
    | ~ elem(X1,snoc(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_47,negated_conjecture,
    elem(m_Down(esk6_0),snoc(queue(nbr_proc),m_Ack(esk3_0,esk2_0))),
    inference(rw,[status(thm)],[c_0_43,c_0_9]) ).

cnf(c_0_48,plain,
    m_Ack(X1,X2) != m_Down(X3),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_49,plain,
    ( host(esk6_0) != host(X1)
    | ~ elem(m_Down(X1),queue(nbr_proc)) ),
    inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_26]),c_0_45]) ).

cnf(c_0_50,negated_conjecture,
    elem(m_Down(esk6_0),queue(nbr_proc)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).

cnf(c_0_51,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_49,c_0_50]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV471+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Wed Jun 15 19:50:05 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.40/23.42  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.40/23.42  
% 0.40/23.43  eprover: CPU time limit exceeded, terminating
% 0.40/23.43  eprover: CPU time limit exceeded, terminating
% 0.43/28.62  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.43/28.62  
% 0.43/28.62  # Failure: Resource limit exceeded (time)
% 0.43/28.62  # OLD status Res
% 0.43/28.62  # Preprocessing time       : 0.020 s
% 0.43/28.62  # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.43/28.62  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.43/28.62  # Preprocessing time       : 0.012 s
% 0.43/28.62  
% 0.43/28.62  # Proof found!
% 0.43/28.62  # SZS status Theorem
% 0.43/28.62  # SZS output start CNFRefutation
% See solution above
% 0.43/28.62  # Proof object total steps             : 52
% 0.43/28.62  # Proof object clause steps            : 37
% 0.43/28.62  # Proof object formula steps           : 15
% 0.43/28.62  # Proof object conjectures             : 26
% 0.43/28.62  # Proof object clause conjectures      : 23
% 0.43/28.62  # Proof object formula conjectures     : 3
% 0.43/28.62  # Proof object initial clauses used    : 18
% 0.43/28.62  # Proof object initial formulas used   : 4
% 0.43/28.62  # Proof object generating inferences   : 12
% 0.43/28.62  # Proof object simplifying inferences  : 31
% 0.43/28.62  # Training examples: 0 positive, 0 negative
% 0.43/28.62  # Parsed axioms                        : 67
% 0.43/28.62  # Removed by relevancy pruning/SinE    : 14
% 0.43/28.62  # Initial clauses                      : 95
% 0.43/28.62  # Removed in clause preprocessing      : 6
% 0.43/28.62  # Initial clauses in saturation        : 89
% 0.43/28.62  # Processed clauses                    : 8698
% 0.43/28.62  # ...of these trivial                  : 120
% 0.43/28.62  # ...subsumed                          : 6219
% 0.43/28.62  # ...remaining for further processing  : 2359
% 0.43/28.62  # Other redundant clauses eliminated   : 26
% 0.43/28.62  # Clauses deleted for lack of memory   : 0
% 0.43/28.62  # Backward-subsumed                    : 220
% 0.43/28.62  # Backward-rewritten                   : 190
% 0.43/28.62  # Generated clauses                    : 136873
% 0.43/28.62  # ...of the previous two non-trivial   : 102689
% 0.43/28.62  # Contextual simplify-reflections      : 6223
% 0.43/28.62  # Paramodulations                      : 136527
% 0.43/28.62  # Factorizations                       : 88
% 0.43/28.62  # Equation resolutions                 : 86
% 0.43/28.62  # Current number of processed clauses  : 1941
% 0.43/28.62  #    Positive orientable unit clauses  : 131
% 0.43/28.62  #    Positive unorientable unit clauses: 0
% 0.43/28.62  #    Negative unit clauses             : 81
% 0.43/28.62  #    Non-unit-clauses                  : 1729
% 0.43/28.62  # Current number of unprocessed clauses: 78158
% 0.43/28.62  # ...number of literals in the above   : 443330
% 0.43/28.62  # Current number of archived formulas  : 0
% 0.43/28.62  # Current number of archived clauses   : 411
% 0.43/28.62  # Clause-clause subsumption calls (NU) : 1884279
% 0.43/28.62  # Rec. Clause-clause subsumption calls : 642131
% 0.43/28.62  # Non-unit clause-clause subsumptions  : 9585
% 0.43/28.62  # Unit Clause-clause subsumption calls : 76271
% 0.43/28.62  # Rewrite failures with RHS unbound    : 0
% 0.43/28.62  # BW rewrite match attempts            : 348
% 0.43/28.62  # BW rewrite match successes           : 96
% 0.43/28.62  # Condensation attempts                : 0
% 0.43/28.62  # Condensation successes               : 0
% 0.43/28.62  # Termbank termtop insertions          : 2141603
% 0.43/28.62  
% 0.43/28.62  # -------------------------------------------------
% 0.43/28.62  # User time                : 4.467 s
% 0.43/28.62  # System time              : 0.051 s
% 0.43/28.62  # Total time               : 4.518 s
% 0.43/28.62  # Maximum resident set size: 66864 pages
% 0.43/46.44  eprover: CPU time limit exceeded, terminating
% 0.43/46.45  eprover: CPU time limit exceeded, terminating
% 0.43/46.45  eprover: CPU time limit exceeded, terminating
% 0.43/46.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.46  eprover: No such file or directory
% 0.43/46.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.47  eprover: No such file or directory
% 0.43/46.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.47  eprover: No such file or directory
% 0.43/46.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.47  eprover: No such file or directory
% 0.43/46.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.47  eprover: No such file or directory
% 0.43/46.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.48  eprover: No such file or directory
% 0.43/46.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.48  eprover: No such file or directory
% 0.43/46.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.48  eprover: No such file or directory
% 0.43/46.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.48  eprover: No such file or directory
% 0.43/46.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.48  eprover: No such file or directory
% 0.43/46.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.48  eprover: No such file or directory
% 0.43/46.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.49  eprover: No such file or directory
% 0.43/46.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.49  eprover: No such file or directory
% 0.43/46.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.49  eprover: No such file or directory
% 0.43/46.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.49  eprover: No such file or directory
% 0.43/46.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.49  eprover: No such file or directory
% 0.43/46.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.49  eprover: No such file or directory
% 0.43/46.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.49  eprover: No such file or directory
% 0.43/46.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.50  eprover: No such file or directory
% 0.43/46.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.50  eprover: No such file or directory
% 0.43/46.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.50  eprover: No such file or directory
% 0.43/46.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.50  eprover: No such file or directory
% 0.43/46.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.50  eprover: No such file or directory
% 0.43/46.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.50  eprover: No such file or directory
% 0.43/46.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.43/46.50  eprover: No such file or directory
% 0.43/46.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.51  eprover: No such file or directory
% 0.43/46.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.51  eprover: No such file or directory
% 0.43/46.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.51  eprover: No such file or directory
% 0.43/46.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.51  eprover: No such file or directory
% 0.43/46.52  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.43/46.52  eprover: No such file or directory
%------------------------------------------------------------------------------