TSTP Solution File: SWV473+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWV473+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n003.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 0.36s 18.55s
% Output   : CNFRefutation 0.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   49 (  21 unt;   0 def)
%            Number of atoms       :  408 ( 188 equ)
%            Maximal formula atoms :   86 (   8 avg)
%            Number of connectives :  558 ( 199   ~; 154   |; 154   &)
%                                         (   3 <=>;  48  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   54 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :   30 (  30 usr;  20 con; 0-8 aty)
%            Number of variables   :  234 (  44 sgn 161   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj,conjecture,
    ! [X12,X13,X5,X6] :
      ( ( ! [X7,X14] :
            ( elem(m_Ldr(X14),queue(host(X7)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7,X14] :
            ( elem(m_Down(X14),queue(host(X7)))
           => host(X14) != host(X7) )
        & ! [X7,X14] :
            ( host(X14) = nbr_proc
           => ~ elem(m_NotNorm(X7),queue(host(X14))) )
        & ! [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,X15,X14] :
            ( ( host(X14) != host(X15)
              & setIn(X14,alive)
              & host(X14) = host(X7)
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X15) )
           => ~ elem(m_Down(X7),queue(host(X15))) )
        & ! [X7,X15,X14] :
            ( ( host(X14) != host(X15)
              & setIn(X14,alive)
              & host(X14) = host(X7)
              & index(status,host(X14)) = wait
              & host(index(elid,host(X14))) = host(X15) )
           => ~ elem(m_Down(X7),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)))
                & 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,X16,X15,X14] :
            ( ( ! [X17] :
                  ( ( ~ leq(host(X14),X17)
                    & leq(s(zero),X17) )
                 => ( setIn(X17,index(down,host(X14)))
                    | X17 = host(X15) ) )
              & elem(m_Down(X15),queue(host(X14)))
              & host(X14) = nbr_proc
              & host(X14) = host(X16)
              & index(status,host(X14)) = elec_1 )
           => ~ ( setIn(X7,alive)
                & elem(m_Down(X16),queue(host(X7))) ) )
        & 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)) )
         => ! [X7] :
              ( host(X5) != host(X7)
             => ! [X18,X19,X20] :
                  ( host(X5) = host(X20)
                 => ( ( ! [X17] :
                          ( ( ~ leq(host(X20),X17)
                            & leq(s(zero),X17) )
                         => ( setIn(X17,index(down,host(X20)))
                            | X17 = host(X19) ) )
                      & elem(m_Down(X19),X12)
                      & host(X20) = host(X18)
                      & host(X20) = nbr_proc
                      & index(status,host(X20)) = elec_1 )
                   => ~ ( setIn(X7,alive)
                        & elem(m_Down(X18),queue(host(X7))) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj) ).

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

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

fof(axiom_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(c_0_5,plain,
    ! [X12,X13,X6,X5] :
      ( epred1_4(X5,X6,X13,X12)
    <=> ( ! [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] :
            ( host(X14) = nbr_proc
           => ~ elem(m_NotNorm(X7),queue(host(X14))) )
        & ! [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,X15,X14] :
            ( ( host(X14) != host(X15)
              & setIn(X14,alive)
              & host(X14) = host(X7)
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X15) )
           => ~ elem(m_Down(X7),queue(host(X15))) )
        & ! [X7,X15,X14] :
            ( ( host(X14) != host(X15)
              & setIn(X14,alive)
              & host(X14) = host(X7)
              & index(status,host(X14)) = wait
              & host(index(elid,host(X14))) = host(X15) )
           => ~ elem(m_Down(X7),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)))
                & 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,X16,X15,X14] :
            ( ( ! [X17] :
                  ( ( ~ leq(host(X14),X17)
                    & leq(s(zero),X17) )
                 => ( setIn(X17,index(down,host(X14)))
                    | X17 = host(X15) ) )
              & elem(m_Down(X15),queue(host(X14)))
              & host(X14) = nbr_proc
              & host(X14) = host(X16)
              & index(status,host(X14)) = elec_1 )
           => ~ ( setIn(X7,alive)
                & elem(m_Down(X16),queue(host(X7))) ) )
        & queue(host(X5)) = cons(m_Ack(X13,X6),X12) ) ),
    introduced(definition) ).

fof(c_0_6,negated_conjecture,
    ~ ! [X12,X13,X5,X6] :
        ( epred1_4(X5,X6,X13,X12)
       => ( setIn(X5,alive)
         => ( ~ ( index(elid,host(X5)) = X13
                & index(status,host(X5)) = elec_2
                & host(X6) = index(pendack,host(X5)) )
           => ! [X7] :
                ( host(X5) != host(X7)
               => ! [X18,X19,X20] :
                    ( host(X5) = host(X20)
                   => ( ( ! [X17] :
                            ( ( ~ leq(host(X20),X17)
                              & leq(s(zero),X17) )
                           => ( setIn(X17,index(down,host(X20)))
                              | X17 = host(X19) ) )
                        & elem(m_Down(X19),X12)
                        & host(X20) = host(X18)
                        & host(X20) = nbr_proc
                        & index(status,host(X20)) = elec_1 )
                     => ~ ( setIn(X7,alive)
                          & elem(m_Down(X18),queue(host(X7))) ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[conj]),c_0_5]) ).

fof(c_0_7,plain,
    ! [X12,X13,X6,X5] :
      ( epred1_4(X5,X6,X13,X12)
     => ( ! [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] :
            ( host(X14) = nbr_proc
           => ~ elem(m_NotNorm(X7),queue(host(X14))) )
        & ! [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,X15,X14] :
            ( ( host(X14) != host(X15)
              & setIn(X14,alive)
              & host(X14) = host(X7)
              & index(status,host(X14)) = norm
              & index(ldr,host(X14)) = host(X15) )
           => ~ elem(m_Down(X7),queue(host(X15))) )
        & ! [X7,X15,X14] :
            ( ( host(X14) != host(X15)
              & setIn(X14,alive)
              & host(X14) = host(X7)
              & index(status,host(X14)) = wait
              & host(index(elid,host(X14))) = host(X15) )
           => ~ elem(m_Down(X7),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)))
                & 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,X16,X15,X14] :
            ( ( ! [X17] :
                  ( ( ~ leq(host(X14),X17)
                    & leq(s(zero),X17) )
                 => ( setIn(X17,index(down,host(X14)))
                    | X17 = host(X15) ) )
              & elem(m_Down(X15),queue(host(X14)))
              & host(X14) = nbr_proc
              & host(X14) = host(X16)
              & index(status,host(X14)) = elec_1 )
           => ~ ( setIn(X7,alive)
                & elem(m_Down(X16),queue(host(X7))) ) )
        & queue(host(X5)) = cons(m_Ack(X13,X6),X12) ) ),
    inference(split_equiv,[status(thm)],[c_0_5]) ).

fof(c_0_8,negated_conjecture,
    ! [X29] :
      ( epred1_4(esk3_0,esk4_0,esk2_0,esk1_0)
      & setIn(esk3_0,alive)
      & ( index(elid,host(esk3_0)) != esk2_0
        | index(status,host(esk3_0)) != elec_2
        | host(esk4_0) != index(pendack,host(esk3_0)) )
      & host(esk3_0) != host(esk5_0)
      & host(esk3_0) = host(esk8_0)
      & ( leq(host(esk8_0),X29)
        | ~ leq(s(zero),X29)
        | setIn(X29,index(down,host(esk8_0)))
        | X29 = host(esk7_0) )
      & elem(m_Down(esk7_0),esk1_0)
      & host(esk8_0) = host(esk6_0)
      & host(esk8_0) = nbr_proc
      & index(status,host(esk8_0)) = elec_1
      & setIn(esk5_0,alive)
      & elem(m_Down(esk6_0),queue(host(esk5_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_6])])])])])])]) ).

fof(c_0_9,plain,
    ! [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] :
      ( ( ~ elem(m_Ldr(X23),queue(host(X22)))
        | ~ leq(host(X22),host(X23))
        | ~ epred1_4(X21,X20,X19,X18) )
      & ( ~ elem(m_Down(X25),queue(host(X24)))
        | host(X25) != host(X24)
        | ~ epred1_4(X21,X20,X19,X18) )
      & ( host(X27) != nbr_proc
        | ~ elem(m_NotNorm(X26),queue(host(X27)))
        | ~ epred1_4(X21,X20,X19,X18) )
      & ( X29 = X28
        | host(X29) != host(X28)
        | ~ setIn(X28,alive)
        | ~ setIn(X29,alive)
        | ~ epred1_4(X21,X20,X19,X18) )
      & ( index(status,host(X30)) != elec_1
        | ~ setIn(X30,alive)
        | index(elid,host(X30)) = X30
        | ~ epred1_4(X21,X20,X19,X18) )
      & ( index(status,host(X30)) != elec_2
        | ~ setIn(X30,alive)
        | index(elid,host(X30)) = X30
        | ~ epred1_4(X21,X20,X19,X18) )
      & ( host(X33) = host(X32)
        | ~ setIn(X33,alive)
        | host(X33) != host(X31)
        | index(status,host(X33)) != norm
        | index(ldr,host(X33)) != host(X32)
        | ~ elem(m_Down(X31),queue(host(X32)))
        | ~ epred1_4(X21,X20,X19,X18) )
      & ( host(X36) = host(X35)
        | ~ setIn(X36,alive)
        | host(X36) != host(X34)
        | index(status,host(X36)) != wait
        | host(index(elid,host(X36))) != host(X35)
        | ~ elem(m_Down(X34),queue(host(X35)))
        | ~ epred1_4(X21,X20,X19,X18) )
      & ( host(X39) = host(X37)
        | ~ setIn(X37,alive)
        | ~ setIn(X39,alive)
        | host(X38) != host(X37)
        | host(X40) != host(X39)
        | ~ elem(m_Down(X40),queue(host(X37)))
        | ~ elem(m_Down(X38),queue(host(X39)))
        | ~ epred1_4(X21,X20,X19,X18) )
      & ( host(X43) = host(X41)
        | ~ setIn(X41,alive)
        | ~ setIn(X43,alive)
        | host(X42) != host(X41)
        | host(X44) != host(X43)
        | ~ elem(m_Down(X44),queue(host(X41)))
        | ~ setIn(host(X42),index(down,host(X43)))
        | ~ epred1_4(X21,X20,X19,X18) )
      & ( ~ leq(host(X48),esk9_8(X18,X19,X20,X21,X45,X46,X47,X48))
        | ~ elem(m_Down(X47),queue(host(X48)))
        | host(X48) != nbr_proc
        | host(X48) != host(X46)
        | index(status,host(X48)) != elec_1
        | ~ setIn(X45,alive)
        | ~ elem(m_Down(X46),queue(host(X45)))
        | ~ epred1_4(X21,X20,X19,X18) )
      & ( leq(s(zero),esk9_8(X18,X19,X20,X21,X45,X46,X47,X48))
        | ~ elem(m_Down(X47),queue(host(X48)))
        | host(X48) != nbr_proc
        | host(X48) != host(X46)
        | index(status,host(X48)) != elec_1
        | ~ setIn(X45,alive)
        | ~ elem(m_Down(X46),queue(host(X45)))
        | ~ epred1_4(X21,X20,X19,X18) )
      & ( ~ setIn(esk9_8(X18,X19,X20,X21,X45,X46,X47,X48),index(down,host(X48)))
        | ~ elem(m_Down(X47),queue(host(X48)))
        | host(X48) != nbr_proc
        | host(X48) != host(X46)
        | index(status,host(X48)) != elec_1
        | ~ setIn(X45,alive)
        | ~ elem(m_Down(X46),queue(host(X45)))
        | ~ epred1_4(X21,X20,X19,X18) )
      & ( esk9_8(X18,X19,X20,X21,X45,X46,X47,X48) != host(X47)
        | ~ elem(m_Down(X47),queue(host(X48)))
        | host(X48) != nbr_proc
        | host(X48) != host(X46)
        | index(status,host(X48)) != elec_1
        | ~ setIn(X45,alive)
        | ~ elem(m_Down(X46),queue(host(X45)))
        | ~ epred1_4(X21,X20,X19,X18) )
      & ( queue(host(X21)) = cons(m_Ack(X19,X20),X18)
        | ~ epred1_4(X21,X20,X19,X18) ) ),
    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_10,negated_conjecture,
    host(esk3_0) = host(esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    host(esk8_0) = nbr_proc,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    ( X1 = host(esk7_0)
    | setIn(X1,index(down,host(esk8_0)))
    | leq(host(esk8_0),X1)
    | ~ leq(s(zero),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_13,plain,
    ! [X4] : leq(s(zero),host(X4)),
    inference(variable_rename,[status(thm)],[axiom_02]) ).

cnf(c_0_14,plain,
    ( host(X6) = host(X8)
    | ~ epred1_4(X1,X2,X3,X4)
    | ~ setIn(host(X5),index(down,host(X6)))
    | ~ elem(m_Down(X7),queue(host(X8)))
    | host(X7) != host(X6)
    | host(X5) != host(X8)
    | ~ setIn(X6,alive)
    | ~ setIn(X8,alive) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,negated_conjecture,
    host(esk3_0) = nbr_proc,
    inference(rw,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_16,negated_conjecture,
    setIn(esk3_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_17,negated_conjecture,
    ( X1 = host(esk7_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_12,c_0_11]),c_0_11]) ).

cnf(c_0_18,plain,
    leq(s(zero),host(X1)),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,plain,
    ( host(X6) = host(X8)
    | ~ epred1_4(X1,X2,X3,X4)
    | ~ elem(m_Down(X5),queue(host(X6)))
    | ~ elem(m_Down(X7),queue(host(X8)))
    | host(X7) != host(X6)
    | host(X5) != host(X8)
    | ~ setIn(X6,alive)
    | ~ setIn(X8,alive) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_20,negated_conjecture,
    host(esk8_0) = host(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_21,negated_conjecture,
    host(esk3_0) != host(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_22,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_23,plain,
    ( queue(host(X1)) = cons(m_Ack(X3,X2),X4)
    | ~ epred1_4(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_24,negated_conjecture,
    epred1_4(esk3_0,esk4_0,esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_25,negated_conjecture,
    ( host(X1) = nbr_proc
    | host(X2) != host(X1)
    | host(X3) != nbr_proc
    | ~ epred1_4(X4,X5,X6,X7)
    | ~ setIn(host(X2),index(down,nbr_proc))
    | ~ setIn(X1,alive)
    | ~ elem(m_Down(X3),queue(host(X1))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).

cnf(c_0_26,negated_conjecture,
    ( host(X1) = host(esk7_0)
    | leq(nbr_proc,host(X1))
    | setIn(host(X1),index(down,nbr_proc)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_27,negated_conjecture,
    ( host(X1) = nbr_proc
    | host(X1) != host(X2)
    | host(X3) != nbr_proc
    | ~ epred1_4(X4,X5,X6,X7)
    | ~ setIn(X1,alive)
    | ~ elem(m_Down(X3),queue(host(X1)))
    | ~ elem(m_Down(X2),queue(nbr_proc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_15]),c_0_16])]) ).

cnf(c_0_28,negated_conjecture,
    elem(m_Down(esk6_0),queue(host(esk5_0))),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_29,negated_conjecture,
    host(esk6_0) = nbr_proc,
    inference(rw,[status(thm)],[c_0_20,c_0_11]) ).

cnf(c_0_30,negated_conjecture,
    setIn(esk5_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_31,negated_conjecture,
    host(esk5_0) != nbr_proc,
    inference(rw,[status(thm)],[c_0_21,c_0_15]) ).

cnf(c_0_32,plain,
    ( elem(X1,cons(X2,X3))
    | ~ elem(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_33,negated_conjecture,
    cons(m_Ack(esk2_0,esk4_0),esk1_0) = queue(nbr_proc),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_15]) ).

cnf(c_0_34,negated_conjecture,
    ( host(X1) = host(esk7_0)
    | host(X2) = nbr_proc
    | leq(nbr_proc,host(X1))
    | host(X1) != host(X2)
    | host(X3) != nbr_proc
    | ~ epred1_4(X4,X5,X6,X7)
    | ~ setIn(X2,alive)
    | ~ elem(m_Down(X3),queue(host(X2))) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_35,negated_conjecture,
    ( host(esk5_0) != host(X1)
    | ~ epred1_4(X2,X3,X4,X5)
    | ~ elem(m_Down(X1),queue(nbr_proc)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30])]),c_0_31]) ).

cnf(c_0_36,negated_conjecture,
    ( elem(X1,queue(nbr_proc))
    | ~ elem(X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

fof(c_0_37,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_38,negated_conjecture,
    ( host(X1) = host(esk7_0)
    | leq(nbr_proc,host(X1))
    | host(X1) != host(esk5_0)
    | ~ epred1_4(X2,X3,X4,X5) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_28]),c_0_29]),c_0_30])]),c_0_31]) ).

fof(c_0_39,plain,
    ! [X4] : leq(host(X4),nbr_proc),
    inference(variable_rename,[status(thm)],[axiom_04]) ).

cnf(c_0_40,negated_conjecture,
    ( host(esk5_0) != host(X1)
    | ~ epred1_4(X2,X3,X4,X5)
    | ~ elem(m_Down(X1),esk1_0) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_41,negated_conjecture,
    elem(m_Down(esk7_0),esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_42,plain,
    ( X1 = X2
    | ~ leq(X2,X1)
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_43,negated_conjecture,
    ( host(X1) = host(esk7_0)
    | leq(nbr_proc,host(X1))
    | host(X1) != host(esk5_0) ),
    inference(spm,[status(thm)],[c_0_38,c_0_24]) ).

cnf(c_0_44,plain,
    leq(host(X1),nbr_proc),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_45,negated_conjecture,
    ( host(esk5_0) != host(esk7_0)
    | ~ epred1_4(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_46,negated_conjecture,
    ( host(X1) = host(esk7_0)
    | host(X1) = nbr_proc
    | host(X1) != host(esk5_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_47,negated_conjecture,
    host(esk5_0) != host(esk7_0),
    inference(spm,[status(thm)],[c_0_45,c_0_24]) ).

cnf(c_0_48,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_46]),c_0_47]),c_0_31]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV473+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : run_ET %s %d
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Tue Jun 14 22:48:25 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.36/18.55  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.36/18.55  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.36/18.55  # Preprocessing time       : 0.023 s
% 0.36/18.55  
% 0.36/18.55  # Proof found!
% 0.36/18.55  # SZS status Theorem
% 0.36/18.55  # SZS output start CNFRefutation
% See solution above
% 0.36/18.55  # Proof object total steps             : 49
% 0.36/18.55  # Proof object clause steps            : 35
% 0.36/18.55  # Proof object formula steps           : 14
% 0.36/18.55  # Proof object conjectures             : 31
% 0.36/18.55  # Proof object clause conjectures      : 28
% 0.36/18.55  # Proof object formula conjectures     : 3
% 0.36/18.55  # Proof object initial clauses used    : 17
% 0.36/18.55  # Proof object initial formulas used   : 5
% 0.36/18.55  # Proof object generating inferences   : 14
% 0.36/18.55  # Proof object simplifying inferences  : 22
% 0.36/18.55  # Training examples: 0 positive, 0 negative
% 0.36/18.55  # Parsed axioms                        : 67
% 0.36/18.55  # Removed by relevancy pruning/SinE    : 14
% 0.36/18.55  # Initial clauses                      : 94
% 0.36/18.55  # Removed in clause preprocessing      : 6
% 0.36/18.55  # Initial clauses in saturation        : 88
% 0.36/18.55  # Processed clauses                    : 25833
% 0.36/18.55  # ...of these trivial                  : 730
% 0.36/18.55  # ...subsumed                          : 22755
% 0.36/18.55  # ...remaining for further processing  : 2348
% 0.36/18.55  # Other redundant clauses eliminated   : 858
% 0.36/18.55  # Clauses deleted for lack of memory   : 176117
% 0.36/18.55  # Backward-subsumed                    : 292
% 0.36/18.55  # Backward-rewritten                   : 50
% 0.36/18.55  # Generated clauses                    : 513091
% 0.36/18.55  # ...of the previous two non-trivial   : 364335
% 0.36/18.55  # Contextual simplify-reflections      : 15042
% 0.36/18.55  # Paramodulations                      : 511576
% 0.36/18.55  # Factorizations                       : 538
% 0.36/18.55  # Equation resolutions                 : 977
% 0.36/18.55  # Current number of processed clauses  : 2002
% 0.36/18.55  #    Positive orientable unit clauses  : 105
% 0.36/18.55  #    Positive unorientable unit clauses: 0
% 0.36/18.55  #    Negative unit clauses             : 102
% 0.36/18.55  #    Non-unit-clauses                  : 1795
% 0.36/18.55  # Current number of unprocessed clauses: 97569
% 0.36/18.55  # ...number of literals in the above   : 382438
% 0.36/18.55  # Current number of archived formulas  : 0
% 0.36/18.55  # Current number of archived clauses   : 342
% 0.36/18.55  # Clause-clause subsumption calls (NU) : 6267213
% 0.36/18.55  # Rec. Clause-clause subsumption calls : 4252526
% 0.36/18.55  # Non-unit clause-clause subsumptions  : 26676
% 0.36/18.55  # Unit Clause-clause subsumption calls : 18221
% 0.36/18.55  # Rewrite failures with RHS unbound    : 0
% 0.36/18.55  # BW rewrite match attempts            : 947
% 0.36/18.55  # BW rewrite match successes           : 39
% 0.36/18.55  # Condensation attempts                : 0
% 0.36/18.55  # Condensation successes               : 0
% 0.36/18.55  # Termbank termtop insertions          : 7686076
% 0.36/18.55  
% 0.36/18.55  # -------------------------------------------------
% 0.36/18.55  # User time                : 16.968 s
% 0.36/18.55  # System time              : 0.124 s
% 0.36/18.55  # Total time               : 17.092 s
% 0.36/18.55  # Maximum resident set size: 127620 pages
% 0.39/23.43  eprover: CPU time limit exceeded, terminating
% 0.39/23.45  eprover: CPU time limit exceeded, terminating
% 0.39/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.45  eprover: No such file or directory
% 0.39/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.46  eprover: No such file or directory
% 0.39/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.47  eprover: No such file or directory
% 0.39/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.47  eprover: No such file or directory
% 0.39/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.47  eprover: No such file or directory
% 0.39/23.47  eprover: CPU time limit exceeded, terminating
% 0.39/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.47  eprover: No such file or directory
% 0.39/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.48  eprover: No such file or directory
% 0.39/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.48  eprover: No such file or directory
% 0.39/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.48  eprover: No such file or directory
% 0.39/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.48  eprover: No such file or directory
% 0.39/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.49  eprover: No such file or directory
% 0.39/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.49  eprover: No such file or directory
% 0.39/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.49  eprover: No such file or directory
% 0.39/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.49  eprover: No such file or directory
% 0.39/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.49  eprover: No such file or directory
% 0.39/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.49  eprover: No such file or directory
% 0.39/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.50  eprover: No such file or directory
% 0.39/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.50  eprover: No such file or directory
% 0.39/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.50  eprover: No such file or directory
% 0.39/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.50  eprover: No such file or directory
% 0.39/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.50  eprover: No such file or directory
% 0.39/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.51  eprover: No such file or directory
% 0.39/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/23.51  eprover: No such file or directory
% 0.39/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.51  eprover: No such file or directory
% 0.39/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.51  eprover: No such file or directory
% 0.39/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.52  eprover: No such file or directory
% 0.39/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.52  eprover: No such file or directory
% 0.39/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.52  eprover: No such file or directory
% 0.39/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.52  eprover: No such file or directory
% 0.39/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.52  eprover: No such file or directory
% 0.39/23.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.53  eprover: No such file or directory
% 0.39/23.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.53  eprover: No such file or directory
% 0.39/23.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/23.53  eprover: No such file or directory
%------------------------------------------------------------------------------