TSTP Solution File: NUM619+3 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM619+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n026.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 : Mon Jul 18 09:34:28 EDT 2022

% Result   : Theorem 0.69s 101.90s
% Output   : CNFRefutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   61 (  20 unt;   0 def)
%            Number of atoms       :  212 (  37 equ)
%            Maximal formula atoms :   21 (   3 avg)
%            Number of connectives :  235 (  84   ~;  79   |;  55   &)
%                                         (   1 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   23 (  23 usr;  14 con; 0-2 aty)
%            Number of variables   :   58 (   1 sgn  36   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__4854,hypothesis,
    ( aElementOf0(szDzizrdt0(xd),xT)
    & aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & ! [X1] :
        ( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
      <=> ( aElementOf0(X1,szDzozmdt0(xd))
          & sdtlpdtrp0(xd,X1) = szDzizrdt0(xd) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__4854) ).

fof(m__4730,hypothesis,
    ( aFunction0(xd)
    & szDzozmdt0(xd) = szNzAzT0
    & ! [X1] :
        ( aElementOf0(X1,szNzAzT0)
       => ! [X2] :
            ( ( aSet0(X2)
              & ( ( ( ! [X3] :
                        ( aElementOf0(X3,X2)
                       => aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
                    | aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
                  & sbrdtbr0(X2) = xk )
                | aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ) )
           => sdtlpdtrp0(xd,X1) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__4730) ).

fof(m__5365,hypothesis,
    ( aElementOf0(xx,szNzAzT0)
    & ? [X1] :
        ( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
        & sdtlpdtrp0(xe,X1) = xx ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__5365) ).

fof(m__4660,hypothesis,
    ( aFunction0(xe)
    & szDzozmdt0(xe) = szNzAzT0
    & ! [X1] :
        ( aElementOf0(X1,szNzAzT0)
       => ( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
          & ! [X2] :
              ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
             => sdtlseqdt0(sdtlpdtrp0(xe,X1),X2) )
          & sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__4660) ).

fof(m__3671,hypothesis,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => ( aSet0(sdtlpdtrp0(xN,X1))
        & ! [X2] :
            ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
           => aElementOf0(X2,szNzAzT0) )
        & aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
        & isCountable0(sdtlpdtrp0(xN,X1)) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__3671) ).

fof(m__5309,hypothesis,
    ( aElementOf0(xn,szDzozmdt0(xd))
    & sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
    & aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & aElementOf0(xn,szNzAzT0)
    & sdtlpdtrp0(xe,xn) = xp ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__5309) ).

fof(m__3754,hypothesis,
    ! [X1,X2] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X2,szNzAzT0) )
     => ( sdtlseqdt0(X2,X1)
       => ( ! [X3] :
              ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
             => aElementOf0(X3,sdtlpdtrp0(xN,X2)) )
          & aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__3754) ).

fof(m__,conjecture,
    aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).

fof(mLessASymm,axiom,
    ! [X1,X2] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X2,szNzAzT0) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X2,X1) )
       => X1 = X2 ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLessASymm) ).

fof(m__5147,hypothesis,
    ( aElementOf0(xp,xQ)
    & ! [X1] :
        ( aElementOf0(X1,xQ)
       => sdtlseqdt0(xp,X1) )
    & xp = szmzizndt0(xQ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__5147) ).

fof(m__5106,hypothesis,
    ( ! [X1] :
        ( aElementOf0(X1,xQ)
       => aElementOf0(X1,szNzAzT0) )
    & aSubsetOf0(xQ,szNzAzT0) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__5106) ).

fof(m__5348,hypothesis,
    ( aElement0(xx)
    & aElementOf0(xx,xQ)
    & xx != szmzizndt0(xQ)
    & aElementOf0(xx,xP) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__5348) ).

fof(mLessTotal,axiom,
    ! [X1,X2] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X2,szNzAzT0) )
     => ( sdtlseqdt0(X1,X2)
        | sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mLessTotal) ).

fof(mSuccNum,axiom,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
        & szszuzczcdt0(X1) != sz00 ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSuccNum) ).

fof(c_0_14,hypothesis,
    ! [X2,X2] :
      ( aElementOf0(szDzizrdt0(xd),xT)
      & aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
      & ( aElementOf0(X2,szDzozmdt0(xd))
        | ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
      & ( sdtlpdtrp0(xd,X2) = szDzizrdt0(xd)
        | ~ aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
      & ( ~ aElementOf0(X2,szDzozmdt0(xd))
        | sdtlpdtrp0(xd,X2) != szDzizrdt0(xd)
        | aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
    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)],[m__4854])])])])])]) ).

fof(c_0_15,hypothesis,
    ! [X4,X5] :
      ( aFunction0(xd)
      & szDzozmdt0(xd) = szNzAzT0
      & ( aElementOf0(esk36_2(X4,X5),X5)
        | sbrdtbr0(X5) != xk
        | ~ aSet0(X5)
        | sdtlpdtrp0(xd,X4) = sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)
        | ~ aElementOf0(X4,szNzAzT0) )
      & ( ~ aElementOf0(esk36_2(X4,X5),sdtlpdtrp0(xN,szszuzczcdt0(X4)))
        | sbrdtbr0(X5) != xk
        | ~ aSet0(X5)
        | sdtlpdtrp0(xd,X4) = sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)
        | ~ aElementOf0(X4,szNzAzT0) )
      & ( ~ aSubsetOf0(X5,sdtlpdtrp0(xN,szszuzczcdt0(X4)))
        | sbrdtbr0(X5) != xk
        | ~ aSet0(X5)
        | sdtlpdtrp0(xd,X4) = sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)
        | ~ aElementOf0(X4,szNzAzT0) )
      & ( ~ aElementOf0(X5,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X4)),xk))
        | ~ aSet0(X5)
        | sdtlpdtrp0(xd,X4) = sdtlpdtrp0(sdtlpdtrp0(xC,X4),X5)
        | ~ aElementOf0(X4,szNzAzT0) ) ),
    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)],[m__4730])])])])])])]) ).

cnf(c_0_16,hypothesis,
    ( aElementOf0(X1,szDzozmdt0(xd))
    | ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_17,hypothesis,
    szDzozmdt0(xd) = szNzAzT0,
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_18,hypothesis,
    ( aElementOf0(xx,szNzAzT0)
    & aElementOf0(esk42_0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & sdtlpdtrp0(xe,esk42_0) = xx ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[m__5365])])])]) ).

fof(c_0_19,hypothesis,
    ! [X3,X4] :
      ( aFunction0(xe)
      & szDzozmdt0(xe) = szNzAzT0
      & ( aElementOf0(sdtlpdtrp0(xe,X3),sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElementOf0(X4,sdtlpdtrp0(xN,X3))
        | sdtlseqdt0(sdtlpdtrp0(xe,X3),X4)
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( sdtlpdtrp0(xe,X3) = szmzizndt0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) ) ),
    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)],[m__4660])])])])])]) ).

cnf(c_0_20,hypothesis,
    ( aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    inference(rw,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_21,hypothesis,
    aElementOf0(esk42_0,sdtlbdtrb0(xd,szDzizrdt0(xd))),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_22,hypothesis,
    ! [X3,X4] :
      ( ( aSet0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( ~ aElementOf0(X4,sdtlpdtrp0(xN,X3))
        | aElementOf0(X4,szNzAzT0)
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)
        | ~ aElementOf0(X3,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,X3))
        | ~ aElementOf0(X3,szNzAzT0) ) ),
    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)],[m__3671])])])])])]) ).

cnf(c_0_23,hypothesis,
    ( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_24,hypothesis,
    sdtlpdtrp0(xe,xn) = xp,
    inference(split_conjunct,[status(thm)],[m__5309]) ).

cnf(c_0_25,hypothesis,
    aElementOf0(xn,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__5309]) ).

fof(c_0_26,hypothesis,
    ! [X4,X5,X6] :
      ( ( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
        | aElementOf0(X6,sdtlpdtrp0(xN,X5))
        | ~ sdtlseqdt0(X5,X4)
        | ~ aElementOf0(X4,szNzAzT0)
        | ~ aElementOf0(X5,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,X4),sdtlpdtrp0(xN,X5))
        | ~ sdtlseqdt0(X5,X4)
        | ~ aElementOf0(X4,szNzAzT0)
        | ~ aElementOf0(X5,szNzAzT0) ) ),
    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)],[m__3754])])])])])]) ).

fof(c_0_27,negated_conjecture,
    ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_28,hypothesis,
    sdtlpdtrp0(xe,esk42_0) = xx,
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_29,hypothesis,
    aElementOf0(esk42_0,szNzAzT0),
    inference(pm,[status(thm)],[c_0_20,c_0_21]) ).

fof(c_0_30,plain,
    ! [X3,X4] :
      ( ~ aElementOf0(X3,szNzAzT0)
      | ~ aElementOf0(X4,szNzAzT0)
      | ~ sdtlseqdt0(X3,X4)
      | ~ sdtlseqdt0(X4,X3)
      | X3 = X4 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).

fof(c_0_31,hypothesis,
    ! [X2] :
      ( aElementOf0(xp,xQ)
      & ( ~ aElementOf0(X2,xQ)
        | sdtlseqdt0(xp,X2) )
      & xp = szmzizndt0(xQ) ),
    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)],[m__5147])])])])]) ).

cnf(c_0_32,hypothesis,
    ( aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,sdtlpdtrp0(xN,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_33,hypothesis,
    aElementOf0(xp,sdtlpdtrp0(xN,xn)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).

fof(c_0_34,hypothesis,
    ! [X2] :
      ( ( ~ aElementOf0(X2,xQ)
        | aElementOf0(X2,szNzAzT0) )
      & aSubsetOf0(xQ,szNzAzT0) ),
    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)],[m__5106])])])])]) ).

cnf(c_0_35,hypothesis,
    ( sdtlseqdt0(sdtlpdtrp0(xe,X1),X2)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,sdtlpdtrp0(xN,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_36,hypothesis,
    ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X3,sdtlpdtrp0(xN,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

fof(c_0_37,negated_conjecture,
    ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

cnf(c_0_38,hypothesis,
    aElementOf0(xx,sdtlpdtrp0(xN,esk42_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_23,c_0_28]),c_0_29])]) ).

cnf(c_0_39,plain,
    ( X1 = X2
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_40,hypothesis,
    ( sdtlseqdt0(xp,X1)
    | ~ aElementOf0(X1,xQ) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_41,hypothesis,
    aElementOf0(xp,szNzAzT0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_32,c_0_33]),c_0_25])]) ).

cnf(c_0_42,hypothesis,
    ( aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X1,xQ) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_43,hypothesis,
    ( sdtlseqdt0(xx,X1)
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,esk42_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_35,c_0_28]),c_0_29])]) ).

cnf(c_0_44,hypothesis,
    ( aElementOf0(xp,sdtlpdtrp0(xN,X1))
    | ~ sdtlseqdt0(X1,xn)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_36,c_0_33]),c_0_25])]) ).

cnf(c_0_45,hypothesis,
    xx != szmzizndt0(xQ),
    inference(split_conjunct,[status(thm)],[m__5348]) ).

cnf(c_0_46,hypothesis,
    xp = szmzizndt0(xQ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_47,negated_conjecture,
    ~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_48,hypothesis,
    ( aElementOf0(xx,sdtlpdtrp0(xN,X1))
    | ~ sdtlseqdt0(X1,esk42_0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_36,c_0_38]),c_0_29])]) ).

fof(c_0_49,plain,
    ! [X3,X4] :
      ( ~ aElementOf0(X3,szNzAzT0)
      | ~ aElementOf0(X4,szNzAzT0)
      | sdtlseqdt0(X3,X4)
      | sdtlseqdt0(szszuzczcdt0(X4),X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).

cnf(c_0_50,hypothesis,
    ( X1 = xp
    | ~ sdtlseqdt0(X1,xp)
    | ~ aElementOf0(X1,xQ) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]),c_0_42]) ).

cnf(c_0_51,hypothesis,
    ( sdtlseqdt0(xx,xp)
    | ~ sdtlseqdt0(esk42_0,xn) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_43,c_0_44]),c_0_29])]) ).

cnf(c_0_52,hypothesis,
    aElementOf0(xx,xQ),
    inference(split_conjunct,[status(thm)],[m__5348]) ).

cnf(c_0_53,hypothesis,
    xx != xp,
    inference(rw,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_54,negated_conjecture,
    ( ~ sdtlseqdt0(szszuzczcdt0(xn),esk42_0)
    | ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
    inference(pm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_55,plain,
    ( sdtlseqdt0(szszuzczcdt0(X1),X2)
    | sdtlseqdt0(X2,X1)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_56,hypothesis,
    ~ sdtlseqdt0(esk42_0,xn),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]),c_0_53]) ).

fof(c_0_57,plain,
    ! [X2] :
      ( ( aElementOf0(szszuzczcdt0(X2),szNzAzT0)
        | ~ aElementOf0(X2,szNzAzT0) )
      & ( szszuzczcdt0(X2) != sz00
        | ~ aElementOf0(X2,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).

cnf(c_0_58,negated_conjecture,
    ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_54,c_0_55]),c_0_29]),c_0_25])]),c_0_56]) ).

cnf(c_0_59,plain,
    ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_60,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_58,c_0_59]),c_0_25])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : NUM619+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jul  6 02:24:23 EDT 2022
% 0.16/0.33  % CPUTime  : 
% 0.30/23.47  eprover: CPU time limit exceeded, terminating
% 0.30/23.51  eprover: CPU time limit exceeded, terminating
% 0.30/23.61  eprover: CPU time limit exceeded, terminating
% 0.30/23.80  eprover: CPU time limit exceeded, terminating
% 0.40/46.52  eprover: CPU time limit exceeded, terminating
% 0.40/46.53  eprover: CPU time limit exceeded, terminating
% 0.40/46.63  eprover: CPU time limit exceeded, terminating
% 0.41/46.81  eprover: CPU time limit exceeded, terminating
% 0.53/69.54  eprover: CPU time limit exceeded, terminating
% 0.53/69.54  eprover: CPU time limit exceeded, terminating
% 0.53/69.64  eprover: CPU time limit exceeded, terminating
% 0.54/69.83  eprover: CPU time limit exceeded, terminating
% 0.65/92.56  eprover: CPU time limit exceeded, terminating
% 0.65/92.57  eprover: CPU time limit exceeded, terminating
% 0.65/92.65  eprover: CPU time limit exceeded, terminating
% 0.65/92.84  eprover: CPU time limit exceeded, terminating
% 0.69/101.90  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.69/101.90  
% 0.69/101.90  # Failure: Resource limit exceeded (time)
% 0.69/101.90  # OLD status Res
% 0.69/101.90  # Preprocessing time       : 0.377 s
% 0.69/101.90  # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.69/101.90  
% 0.69/101.90  # Failure: Resource limit exceeded (time)
% 0.69/101.90  # OLD status Res
% 0.69/101.90  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.69/101.90  # Preprocessing time       : 0.223 s
% 0.69/101.90  # Running protocol protocol_eprover_75515770aeb32f68e33e9fbd9dff93f5a2e34f2e for 23 seconds:
% 0.69/101.90  
% 0.69/101.90  # Failure: Resource limit exceeded (time)
% 0.69/101.90  # OLD status Res
% 0.69/101.90  # Preprocessing time       : 0.202 s
% 0.69/101.90  # Running protocol protocol_eprover_6c565d2524e660970ec2a72c26d577f665a55420 for 23 seconds:
% 0.69/101.90  
% 0.69/101.90  # Failure: Resource limit exceeded (time)
% 0.69/101.90  # OLD status Res
% 0.69/101.90  # Preprocessing time       : 0.213 s
% 0.69/101.90  # Running protocol protocol_eprover_750456fc664a9e0b97096ad0f5110b1ead7d782b for 23 seconds:
% 0.69/101.90  # Preprocessing time       : 0.221 s
% 0.69/101.90  
% 0.69/101.90  # Proof found!
% 0.69/101.90  # SZS status Theorem
% 0.69/101.90  # SZS output start CNFRefutation
% See solution above
% 0.69/101.90  # Proof object total steps             : 61
% 0.69/101.90  # Proof object clause steps            : 34
% 0.69/101.90  # Proof object formula steps           : 27
% 0.69/101.90  # Proof object conjectures             : 7
% 0.69/101.90  # Proof object clause conjectures      : 4
% 0.69/101.90  # Proof object formula conjectures     : 3
% 0.69/101.90  # Proof object initial clauses used    : 19
% 0.69/101.90  # Proof object initial formulas used   : 14
% 0.69/101.90  # Proof object generating inferences   : 13
% 0.69/101.90  # Proof object simplifying inferences  : 28
% 0.69/101.90  # Training examples: 0 positive, 0 negative
% 0.69/101.90  # Parsed axioms                        : 117
% 0.69/101.90  # Removed by relevancy pruning/SinE    : 0
% 0.69/101.90  # Initial clauses                      : 4927
% 0.69/101.90  # Removed in clause preprocessing      : 7
% 0.69/101.90  # Initial clauses in saturation        : 4920
% 0.69/101.90  # Processed clauses                    : 6690
% 0.69/101.90  # ...of these trivial                  : 68
% 0.69/101.90  # ...subsumed                          : 857
% 0.69/101.90  # ...remaining for further processing  : 5765
% 0.69/101.90  # Other redundant clauses eliminated   : 37
% 0.69/101.90  # Clauses deleted for lack of memory   : 47018
% 0.69/101.90  # Backward-subsumed                    : 19
% 0.69/101.90  # Backward-rewritten                   : 22
% 0.69/101.90  # Generated clauses                    : 139914
% 0.69/101.90  # ...of the previous two non-trivial   : 137814
% 0.69/101.90  # Contextual simplify-reflections      : 892
% 0.69/101.90  # Paramodulations                      : 139790
% 0.69/101.90  # Factorizations                       : 0
% 0.69/101.90  # Equation resolutions                 : 111
% 0.69/101.90  # Current number of processed clauses  : 5711
% 0.69/101.90  #    Positive orientable unit clauses  : 222
% 0.69/101.90  #    Positive unorientable unit clauses: 0
% 0.69/101.90  #    Negative unit clauses             : 40
% 0.69/101.90  #    Non-unit-clauses                  : 5449
% 0.69/101.90  # Current number of unprocessed clauses: 88107
% 0.69/101.90  # ...number of literals in the above   : 1068293
% 0.69/101.90  # Current number of archived formulas  : 0
% 0.69/101.90  # Current number of archived clauses   : 49
% 0.69/101.90  # Clause-clause subsumption calls (NU) : 7799615
% 0.69/101.90  # Rec. Clause-clause subsumption calls : 148230
% 0.69/101.90  # Non-unit clause-clause subsumptions  : 1543
% 0.69/101.90  # Unit Clause-clause subsumption calls : 557165
% 0.69/101.90  # Rewrite failures with RHS unbound    : 0
% 0.69/101.90  # BW rewrite match attempts            : 16
% 0.69/101.90  # BW rewrite match successes           : 12
% 0.69/101.90  # Condensation attempts                : 0
% 0.69/101.90  # Condensation successes               : 0
% 0.69/101.90  # Termbank termtop insertions          : 4858563
% 0.69/101.90  
% 0.69/101.90  # -------------------------------------------------
% 0.69/101.90  # User time                : 8.962 s
% 0.69/101.90  # System time              : 0.093 s
% 0.69/101.90  # Total time               : 9.055 s
% 0.69/101.90  # Maximum resident set size: 144332 pages
% 0.71/115.60  eprover: CPU time limit exceeded, terminating
% 0.71/115.62  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.71/115.62  eprover: No such file or directory
% 0.71/115.62  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.71/115.62  eprover: No such file or directory
% 0.71/115.63  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.71/115.63  eprover: No such file or directory
% 0.71/115.63  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.71/115.63  eprover: No such file or directory
% 0.71/115.63  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.71/115.63  eprover: No such file or directory
% 0.71/115.64  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.71/115.64  eprover: No such file or directory
% 0.71/115.64  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.71/115.64  eprover: No such file or directory
% 0.71/115.67  eprover: CPU time limit exceeded, terminating
% 0.71/115.68  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.71/115.68  eprover: No such file or directory
% 0.71/115.68  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.71/115.68  eprover: No such file or directory
% 0.71/115.69  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.71/115.69  eprover: No such file or directory
% 0.71/115.69  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.71/115.69  eprover: No such file or directory
% 0.71/115.69  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.71/115.69  eprover: No such file or directory
% 0.71/115.70  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.71/115.70  eprover: No such file or directory
% 0.71/115.70  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.71/115.70  eprover: No such file or directory
% 0.71/115.86  eprover: CPU time limit exceeded, terminating
% 0.71/115.87  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.71/115.87  eprover: No such file or directory
% 0.71/115.87  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.71/115.87  eprover: No such file or directory
% 0.71/115.87  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.71/115.87  eprover: No such file or directory
% 0.71/115.88  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.71/115.88  eprover: No such file or directory
% 0.71/115.88  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.71/115.88  eprover: No such file or directory
% 0.71/115.88  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.71/115.88  eprover: No such file or directory
% 0.71/115.89  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.71/115.89  eprover: No such file or directory
%------------------------------------------------------------------------------