TSTP Solution File: SWV460+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWV460+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n011.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 0.24s 1.42s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   44 (  19 unt;   0 def)
%            Number of atoms       :  385 ( 135 equ)
%            Maximal formula atoms :   72 (   8 avg)
%            Number of connectives :  507 ( 166   ~; 118   |; 162   &)
%                                         (   4 <=>;  57  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   50 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   25 (  25 usr;  17 con; 0-2 aty)
%            Number of variables   :  189 (  24 sgn 153   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj,conjecture,
    ! [X12,X13,X5,X6] :
      ( ( ! [X7,X14] :
            ( elem(m_Halt(X14),queue(host(X7)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7] :
            ( index(status,host(X7)) = elec_2
           => ~ leq(index(pendack,host(X7)),host(X7)) )
        & ! [X7,X15,X14] :
            ( elem(m_Ack(X14,X7),queue(host(X15)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7,X14] :
            ( ( X14 != X7
              & host(X14) = host(X7) )
           => ( ~ setIn(X7,alive)
              | ~ setIn(X14,alive) ) )
        & ! [X7,X14] :
            ( ( setIn(X14,alive)
              & index(status,host(X14)) = elec_2 )
           => ~ elem(m_Ack(X7,X14),queue(host(X7))) )
        & ! [X7] :
            ( ( ( index(status,host(X7)) = elec_1
                | index(status,host(X7)) = elec_2 )
              & setIn(X7,alive) )
           => index(elid,host(X7)) = X7 )
        & ! [X7,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & setIn(host(X14),index(down,host(X7)))
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X15,X14] :
            ( ( ~ leq(host(X14),host(X7))
              & setIn(X7,alive)
              & setIn(X14,alive)
              & host(X14) = host(X15)
              & index(status,host(X14)) = elec_2 )
           => ~ elem(m_Down(X15),queue(host(X7))) )
        & ! [X7,X14] :
            ( ( ~ leq(host(X7),host(X14))
              & setIn(X7,alive)
              & setIn(X14,alive)
              & index(status,host(X7)) = elec_2
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X15,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & host(X14) = host(X15)
              & index(status,host(X7)) = elec_2
              & index(status,host(X14)) = elec_2 )
           => ~ elem(m_Ack(X7,X15),queue(host(X7))) )
        & ! [X7,X15,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & elem(m_Down(X15),queue(host(X7)))
              & host(X14) = host(X15)
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X14] :
            ( ( ~ leq(host(X7),host(X14))
              & setIn(X7,alive)
              & setIn(X14,alive)
              & index(status,host(X7)) = elec_2
              & index(status,host(X14)) = elec_2 )
           => ~ leq(index(pendack,host(X7)),index(pendack,host(X14))) )
        & queue(host(X5)) = cons(m_Down(X6),X12) )
     => ( setIn(X5,alive)
       => ( ~ leq(host(X5),host(X6))
         => ( ~ ( ( index(ldr,host(X5)) = host(X6)
                  & index(status,host(X5)) = norm )
                | ( index(status,host(X5)) = wait
                  & host(X6) = host(index(elid,host(X5))) ) )
           => ( ( ! [X7] :
                    ( ( ~ leq(host(X5),X7)
                      & leq(s(zero),X7) )
                   => ( setIn(X7,index(down,host(X5)))
                      | X7 = host(X6) ) )
                & index(status,host(X5)) = elec_1 )
             => ( ~ leq(nbr_proc,host(X5))
               => ! [X7] :
                    ( host(X5) = host(X7)
                   => ! [X16] :
                        ( host(X5) != host(X16)
                       => ( ( ~ leq(host(X7),host(X16))
                            & setIn(X7,alive)
                            & setIn(X16,alive)
                            & index(status,host(X16)) = elec_2 )
                         => ~ leq(s(host(X5)),index(pendack,host(X16))) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',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_61,axiom,
    ! [X5,X6] :
      ( ( leq(X5,X6)
        & leq(X6,X5) )
    <=> X5 = X6 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_61) ).

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

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

fof(axiom_58,axiom,
    ! [X5] : ~ leq(s(X5),X5),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_58) ).

fof(c_0_6,plain,
    ! [X12,X6,X5] :
      ( epred1_3(X5,X6,X12)
    <=> ( ! [X7,X14] :
            ( elem(m_Halt(X14),queue(host(X7)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7] :
            ( index(status,host(X7)) = elec_2
           => ~ leq(index(pendack,host(X7)),host(X7)) )
        & ! [X7,X15,X14] :
            ( elem(m_Ack(X14,X7),queue(host(X15)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7,X14] :
            ( ( X14 != X7
              & host(X14) = host(X7) )
           => ( ~ setIn(X7,alive)
              | ~ setIn(X14,alive) ) )
        & ! [X7,X14] :
            ( ( setIn(X14,alive)
              & index(status,host(X14)) = elec_2 )
           => ~ elem(m_Ack(X7,X14),queue(host(X7))) )
        & ! [X7] :
            ( ( ( index(status,host(X7)) = elec_1
                | index(status,host(X7)) = elec_2 )
              & setIn(X7,alive) )
           => index(elid,host(X7)) = X7 )
        & ! [X7,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & setIn(host(X14),index(down,host(X7)))
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X15,X14] :
            ( ( ~ leq(host(X14),host(X7))
              & setIn(X7,alive)
              & setIn(X14,alive)
              & host(X14) = host(X15)
              & index(status,host(X14)) = elec_2 )
           => ~ elem(m_Down(X15),queue(host(X7))) )
        & ! [X7,X14] :
            ( ( ~ leq(host(X7),host(X14))
              & setIn(X7,alive)
              & setIn(X14,alive)
              & index(status,host(X7)) = elec_2
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X15,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & host(X14) = host(X15)
              & index(status,host(X7)) = elec_2
              & index(status,host(X14)) = elec_2 )
           => ~ elem(m_Ack(X7,X15),queue(host(X7))) )
        & ! [X7,X15,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & elem(m_Down(X15),queue(host(X7)))
              & host(X14) = host(X15)
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X14] :
            ( ( ~ leq(host(X7),host(X14))
              & setIn(X7,alive)
              & setIn(X14,alive)
              & index(status,host(X7)) = elec_2
              & index(status,host(X14)) = elec_2 )
           => ~ leq(index(pendack,host(X7)),index(pendack,host(X14))) )
        & queue(host(X5)) = cons(m_Down(X6),X12) ) ),
    introduced(definition) ).

fof(c_0_7,plain,
    ! [X12,X6,X5] :
      ( epred1_3(X5,X6,X12)
     => ( ! [X7,X14] :
            ( elem(m_Halt(X14),queue(host(X7)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7] :
            ( index(status,host(X7)) = elec_2
           => ~ leq(index(pendack,host(X7)),host(X7)) )
        & ! [X7,X15,X14] :
            ( elem(m_Ack(X14,X7),queue(host(X15)))
           => ~ leq(host(X7),host(X14)) )
        & ! [X7,X14] :
            ( ( X14 != X7
              & host(X14) = host(X7) )
           => ( ~ setIn(X7,alive)
              | ~ setIn(X14,alive) ) )
        & ! [X7,X14] :
            ( ( setIn(X14,alive)
              & index(status,host(X14)) = elec_2 )
           => ~ elem(m_Ack(X7,X14),queue(host(X7))) )
        & ! [X7] :
            ( ( ( index(status,host(X7)) = elec_1
                | index(status,host(X7)) = elec_2 )
              & setIn(X7,alive) )
           => index(elid,host(X7)) = X7 )
        & ! [X7,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & setIn(host(X14),index(down,host(X7)))
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X15,X14] :
            ( ( ~ leq(host(X14),host(X7))
              & setIn(X7,alive)
              & setIn(X14,alive)
              & host(X14) = host(X15)
              & index(status,host(X14)) = elec_2 )
           => ~ elem(m_Down(X15),queue(host(X7))) )
        & ! [X7,X14] :
            ( ( ~ leq(host(X7),host(X14))
              & setIn(X7,alive)
              & setIn(X14,alive)
              & index(status,host(X7)) = elec_2
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X15,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & host(X14) = host(X15)
              & index(status,host(X7)) = elec_2
              & index(status,host(X14)) = elec_2 )
           => ~ elem(m_Ack(X7,X15),queue(host(X7))) )
        & ! [X7,X15,X14] :
            ( ( setIn(X7,alive)
              & setIn(X14,alive)
              & elem(m_Down(X15),queue(host(X7)))
              & host(X14) = host(X15)
              & index(status,host(X14)) = elec_2 )
           => leq(index(pendack,host(X14)),host(X7)) )
        & ! [X7,X14] :
            ( ( ~ leq(host(X7),host(X14))
              & setIn(X7,alive)
              & setIn(X14,alive)
              & index(status,host(X7)) = elec_2
              & index(status,host(X14)) = elec_2 )
           => ~ leq(index(pendack,host(X7)),index(pendack,host(X14))) )
        & queue(host(X5)) = cons(m_Down(X6),X12) ) ),
    inference(split_equiv,[status(thm)],[c_0_6]) ).

fof(c_0_8,negated_conjecture,
    ~ ! [X12,X13,X5,X6] :
        ( epred1_3(X5,X6,X12)
       => ( setIn(X5,alive)
         => ( ~ leq(host(X5),host(X6))
           => ( ~ ( ( index(ldr,host(X5)) = host(X6)
                    & index(status,host(X5)) = norm )
                  | ( index(status,host(X5)) = wait
                    & host(X6) = host(index(elid,host(X5))) ) )
             => ( ( ! [X7] :
                      ( ( ~ leq(host(X5),X7)
                        & leq(s(zero),X7) )
                     => ( setIn(X7,index(down,host(X5)))
                        | X7 = host(X6) ) )
                  & index(status,host(X5)) = elec_1 )
               => ( ~ leq(nbr_proc,host(X5))
                 => ! [X7] :
                      ( host(X5) = host(X7)
                     => ! [X16] :
                          ( host(X5) != host(X16)
                         => ( ( ~ leq(host(X7),host(X16))
                              & setIn(X7,alive)
                              & setIn(X16,alive)
                              & index(status,host(X16)) = elec_2 )
                           => ~ leq(s(host(X5)),index(pendack,host(X16))) ) ) ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[conj]),c_0_6]) ).

fof(c_0_9,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])])])])]) ).

fof(c_0_10,plain,
    ! [X16,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] :
      ( ( ~ elem(m_Halt(X20),queue(host(X19)))
        | ~ leq(host(X19),host(X20))
        | ~ epred1_3(X18,X17,X16) )
      & ( index(status,host(X21)) != elec_2
        | ~ leq(index(pendack,host(X21)),host(X21))
        | ~ epred1_3(X18,X17,X16) )
      & ( ~ elem(m_Ack(X24,X22),queue(host(X23)))
        | ~ leq(host(X22),host(X24))
        | ~ epred1_3(X18,X17,X16) )
      & ( X26 = X25
        | host(X26) != host(X25)
        | ~ setIn(X25,alive)
        | ~ setIn(X26,alive)
        | ~ epred1_3(X18,X17,X16) )
      & ( ~ setIn(X28,alive)
        | index(status,host(X28)) != elec_2
        | ~ elem(m_Ack(X27,X28),queue(host(X27)))
        | ~ epred1_3(X18,X17,X16) )
      & ( index(status,host(X29)) != elec_1
        | ~ setIn(X29,alive)
        | index(elid,host(X29)) = X29
        | ~ epred1_3(X18,X17,X16) )
      & ( index(status,host(X29)) != elec_2
        | ~ setIn(X29,alive)
        | index(elid,host(X29)) = X29
        | ~ epred1_3(X18,X17,X16) )
      & ( ~ setIn(X30,alive)
        | ~ setIn(X31,alive)
        | ~ setIn(host(X31),index(down,host(X30)))
        | index(status,host(X31)) != elec_2
        | leq(index(pendack,host(X31)),host(X30))
        | ~ epred1_3(X18,X17,X16) )
      & ( leq(host(X34),host(X32))
        | ~ setIn(X32,alive)
        | ~ setIn(X34,alive)
        | host(X34) != host(X33)
        | index(status,host(X34)) != elec_2
        | ~ elem(m_Down(X33),queue(host(X32)))
        | ~ epred1_3(X18,X17,X16) )
      & ( leq(host(X35),host(X36))
        | ~ setIn(X35,alive)
        | ~ setIn(X36,alive)
        | index(status,host(X35)) != elec_2
        | index(status,host(X36)) != elec_2
        | leq(index(pendack,host(X36)),host(X35))
        | ~ epred1_3(X18,X17,X16) )
      & ( ~ setIn(X37,alive)
        | ~ setIn(X39,alive)
        | host(X39) != host(X38)
        | index(status,host(X37)) != elec_2
        | index(status,host(X39)) != elec_2
        | ~ elem(m_Ack(X37,X38),queue(host(X37)))
        | ~ epred1_3(X18,X17,X16) )
      & ( ~ setIn(X40,alive)
        | ~ setIn(X42,alive)
        | ~ elem(m_Down(X41),queue(host(X40)))
        | host(X42) != host(X41)
        | index(status,host(X42)) != elec_2
        | leq(index(pendack,host(X42)),host(X40))
        | ~ epred1_3(X18,X17,X16) )
      & ( leq(host(X43),host(X44))
        | ~ setIn(X43,alive)
        | ~ setIn(X44,alive)
        | index(status,host(X43)) != elec_2
        | index(status,host(X44)) != elec_2
        | ~ leq(index(pendack,host(X43)),index(pendack,host(X44)))
        | ~ epred1_3(X18,X17,X16) )
      & ( queue(host(X18)) = cons(m_Down(X17),X16)
        | ~ epred1_3(X18,X17,X16) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[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])])])])])])]) ).

fof(c_0_11,negated_conjecture,
    ! [X21] :
      ( epred1_3(esk6_0,esk7_0,esk5_0)
      & setIn(esk6_0,alive)
      & ~ leq(host(esk6_0),host(esk7_0))
      & ( index(ldr,host(esk6_0)) != host(esk7_0)
        | index(status,host(esk6_0)) != norm )
      & ( index(status,host(esk6_0)) != wait
        | host(esk7_0) != host(index(elid,host(esk6_0))) )
      & ( leq(host(esk6_0),X21)
        | ~ leq(s(zero),X21)
        | setIn(X21,index(down,host(esk6_0)))
        | X21 = host(esk7_0) )
      & index(status,host(esk6_0)) = elec_1
      & ~ leq(nbr_proc,host(esk6_0))
      & host(esk6_0) = host(esk8_0)
      & host(esk6_0) != host(esk9_0)
      & ~ leq(host(esk8_0),host(esk9_0))
      & setIn(esk8_0,alive)
      & setIn(esk9_0,alive)
      & index(status,host(esk9_0)) = elec_2
      & leq(s(host(esk6_0)),index(pendack,host(esk9_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_8])])])])])])]) ).

cnf(c_0_12,plain,
    ( elem(X1,cons(X2,X3))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    ( queue(host(X1)) = cons(m_Down(X2),X3)
    | ~ epred1_3(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    epred1_3(esk6_0,esk7_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_15,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])])])])]) ).

fof(c_0_16,plain,
    ! [X4] : leq(s(zero),host(X4)),
    inference(variable_rename,[status(thm)],[axiom_02]) ).

cnf(c_0_17,plain,
    elem(X1,cons(X1,X2)),
    inference(er,[status(thm)],[c_0_12]) ).

cnf(c_0_18,negated_conjecture,
    cons(m_Down(esk7_0),esk5_0) = queue(host(esk6_0)),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_19,plain,
    ( X1 = X2
    | ~ leq(X2,X1)
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    leq(s(host(esk6_0)),index(pendack,host(esk9_0))),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_21,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])])])])]) ).

cnf(c_0_22,negated_conjecture,
    ( X1 = host(esk7_0)
    | setIn(X1,index(down,host(esk6_0)))
    | leq(host(esk6_0),X1)
    | ~ leq(s(zero),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_23,plain,
    leq(s(zero),host(X1)),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_24,plain,
    ( leq(index(pendack,host(X4)),host(X5))
    | ~ epred1_3(X1,X2,X3)
    | index(status,host(X4)) != elec_2
    | host(X4) != host(X6)
    | ~ elem(m_Down(X6),queue(host(X5)))
    | ~ setIn(X4,alive)
    | ~ setIn(X5,alive) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_25,negated_conjecture,
    elem(m_Down(esk7_0),queue(host(esk6_0))),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_26,negated_conjecture,
    setIn(esk6_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_27,plain,
    ! [X6] : ~ leq(s(X6),X6),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_58])]) ).

cnf(c_0_28,negated_conjecture,
    ( s(host(esk6_0)) = index(pendack,host(esk9_0))
    | ~ leq(index(pendack,host(esk9_0)),s(host(esk6_0))) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_29,plain,
    ( leq(X1,s(X2))
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_30,plain,
    ( leq(index(pendack,host(X4)),host(X5))
    | ~ epred1_3(X1,X2,X3)
    | index(status,host(X4)) != elec_2
    | ~ setIn(host(X4),index(down,host(X5)))
    | ~ setIn(X4,alive)
    | ~ setIn(X5,alive) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_31,negated_conjecture,
    ( host(X1) = host(esk7_0)
    | leq(host(esk6_0),host(X1))
    | setIn(host(X1),index(down,host(esk6_0))) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_32,plain,
    ( leq(index(pendack,host(X1)),host(esk6_0))
    | index(status,host(X1)) != elec_2
    | host(X1) != host(esk7_0)
    | ~ epred1_3(X2,X3,X4)
    | ~ setIn(X1,alive) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).

cnf(c_0_33,plain,
    ~ leq(s(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_34,negated_conjecture,
    ( s(host(esk6_0)) = index(pendack,host(esk9_0))
    | ~ leq(index(pendack,host(esk9_0)),host(esk6_0)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_35,plain,
    ( leq(index(pendack,host(X1)),host(esk6_0))
    | leq(host(esk6_0),host(X1))
    | index(status,host(X1)) != elec_2
    | ~ epred1_3(X2,X3,X4)
    | ~ setIn(X1,alive) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_26])]),c_0_32]) ).

cnf(c_0_36,negated_conjecture,
    ~ leq(host(esk8_0),host(esk9_0)),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_37,negated_conjecture,
    host(esk6_0) = host(esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_38,negated_conjecture,
    ~ leq(index(pendack,host(esk9_0)),host(esk6_0)),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_39,negated_conjecture,
    ( leq(index(pendack,host(X1)),host(esk6_0))
    | leq(host(esk6_0),host(X1))
    | index(status,host(X1)) != elec_2
    | ~ setIn(X1,alive) ),
    inference(spm,[status(thm)],[c_0_35,c_0_14]) ).

cnf(c_0_40,negated_conjecture,
    index(status,host(esk9_0)) = elec_2,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_41,negated_conjecture,
    setIn(esk9_0,alive),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_42,negated_conjecture,
    ~ leq(host(esk6_0),host(esk9_0)),
    inference(rw,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_43,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_41])]),c_0_42]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV460+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jun 14 21:17:20 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.24/1.42  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.24/1.42  # Preprocessing time       : 0.020 s
% 0.24/1.42  
% 0.24/1.42  # Proof found!
% 0.24/1.42  # SZS status Theorem
% 0.24/1.42  # SZS output start CNFRefutation
% See solution above
% 0.24/1.42  # Proof object total steps             : 44
% 0.24/1.42  # Proof object clause steps            : 28
% 0.24/1.42  # Proof object formula steps           : 16
% 0.24/1.42  # Proof object conjectures             : 20
% 0.24/1.42  # Proof object clause conjectures      : 17
% 0.24/1.42  # Proof object formula conjectures     : 3
% 0.24/1.42  # Proof object initial clauses used    : 16
% 0.24/1.42  # Proof object initial formulas used   : 6
% 0.24/1.42  # Proof object generating inferences   : 10
% 0.24/1.42  # Proof object simplifying inferences  : 11
% 0.24/1.42  # Training examples: 0 positive, 0 negative
% 0.24/1.42  # Parsed axioms                        : 67
% 0.24/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.24/1.42  # Initial clauses                      : 125
% 0.24/1.42  # Removed in clause preprocessing      : 6
% 0.24/1.42  # Initial clauses in saturation        : 119
% 0.24/1.42  # Processed clauses                    : 6383
% 0.24/1.42  # ...of these trivial                  : 144
% 0.24/1.42  # ...subsumed                          : 4773
% 0.24/1.42  # ...remaining for further processing  : 1466
% 0.24/1.42  # Other redundant clauses eliminated   : 26
% 0.24/1.42  # Clauses deleted for lack of memory   : 0
% 0.24/1.42  # Backward-subsumed                    : 45
% 0.24/1.42  # Backward-rewritten                   : 46
% 0.24/1.42  # Generated clauses                    : 48802
% 0.24/1.42  # ...of the previous two non-trivial   : 36659
% 0.24/1.42  # Contextual simplify-reflections      : 1275
% 0.24/1.42  # Paramodulations                      : 48677
% 0.24/1.42  # Factorizations                       : 23
% 0.24/1.42  # Equation resolutions                 : 100
% 0.24/1.42  # Current number of processed clauses  : 1369
% 0.24/1.42  #    Positive orientable unit clauses  : 116
% 0.24/1.42  #    Positive unorientable unit clauses: 0
% 0.24/1.42  #    Negative unit clauses             : 180
% 0.24/1.42  #    Non-unit-clauses                  : 1073
% 0.24/1.42  # Current number of unprocessed clauses: 27436
% 0.24/1.42  # ...number of literals in the above   : 107088
% 0.24/1.42  # Current number of archived formulas  : 0
% 0.24/1.42  # Current number of archived clauses   : 93
% 0.24/1.42  # Clause-clause subsumption calls (NU) : 1327796
% 0.24/1.42  # Rec. Clause-clause subsumption calls : 783603
% 0.24/1.42  # Non-unit clause-clause subsumptions  : 2357
% 0.24/1.42  # Unit Clause-clause subsumption calls : 40055
% 0.24/1.42  # Rewrite failures with RHS unbound    : 0
% 0.24/1.42  # BW rewrite match attempts            : 699
% 0.24/1.42  # BW rewrite match successes           : 15
% 0.24/1.42  # Condensation attempts                : 0
% 0.24/1.42  # Condensation successes               : 0
% 0.24/1.42  # Termbank termtop insertions          : 756389
% 0.24/1.42  
% 0.24/1.42  # -------------------------------------------------
% 0.24/1.42  # User time                : 0.849 s
% 0.24/1.42  # System time              : 0.018 s
% 0.24/1.42  # Total time               : 0.867 s
% 0.24/1.42  # Maximum resident set size: 26748 pages
% 0.24/23.41  eprover: CPU time limit exceeded, terminating
% 0.24/23.41  eprover: CPU time limit exceeded, terminating
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.49  eprover: No such file or directory
% 0.24/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------