TSTP Solution File: LAT387+4 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : LAT387+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n017.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 : Sun Jul 17 04:48:16 EDT 2022

% Result   : Theorem 0.22s 1.41s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  101 (  21 unt;   0 def)
%            Number of atoms       :  541 (  49 equ)
%            Maximal formula atoms :   95 (   5 avg)
%            Number of connectives :  665 ( 225   ~; 246   |; 144   &)
%                                         (   2 <=>;  48  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  15 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;   8 con; 0-3 aty)
%            Number of variables   :  114 (   2 sgn  71   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__1123,hypothesis,
    ( aSet0(xU)
    & ! [X1] :
        ( ( ( aSet0(X1)
            & ! [X2] :
                ( aElementOf0(X2,X1)
               => aElementOf0(X2,xU) ) )
          | aSubsetOf0(X1,xU) )
       => ? [X2] :
            ( aElementOf0(X2,xU)
            & aElementOf0(X2,xU)
            & ! [X3] :
                ( aElementOf0(X3,X1)
               => sdtlseqdt0(X2,X3) )
            & aLowerBoundOfIn0(X2,X1,xU)
            & ! [X3] :
                ( ( ( aElementOf0(X3,xU)
                    & ! [X4] :
                        ( aElementOf0(X4,X1)
                       => sdtlseqdt0(X3,X4) ) )
                  | aLowerBoundOfIn0(X3,X1,xU) )
               => sdtlseqdt0(X3,X2) )
            & aInfimumOfIn0(X2,X1,xU)
            & ? [X3] :
                ( aElementOf0(X3,xU)
                & aElementOf0(X3,xU)
                & ! [X4] :
                    ( aElementOf0(X4,X1)
                   => sdtlseqdt0(X4,X3) )
                & aUpperBoundOfIn0(X3,X1,xU)
                & ! [X4] :
                    ( ( ( aElementOf0(X4,xU)
                        & ! [X5] :
                            ( aElementOf0(X5,X1)
                           => sdtlseqdt0(X5,X4) ) )
                      | aUpperBoundOfIn0(X4,X1,xU) )
                   => sdtlseqdt0(X3,X4) )
                & aSupremumOfIn0(X3,X1,xU) ) ) )
    & aCompleteLattice0(xU)
    & aFunction0(xf)
    & ! [X1,X2] :
        ( ( aElementOf0(X1,szDzozmdt0(xf))
          & aElementOf0(X2,szDzozmdt0(xf)) )
       => ( sdtlseqdt0(X1,X2)
         => sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X2)) ) )
    & isMonotone0(xf)
    & szDzozmdt0(xf) = szRzazndt0(xf)
    & szRzazndt0(xf) = xU
    & isOn0(xf,xU) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1123) ).

fof(m__1244,hypothesis,
    ( aSet0(xP)
    & ! [X1] :
        ( ( aElementOf0(X1,xP)
         => ( aElementOf0(X1,xU)
            & sdtlseqdt0(sdtlpdtrp0(xf,X1),X1)
            & ! [X2] :
                ( aElementOf0(X2,xT)
               => sdtlseqdt0(X2,X1) )
            & aUpperBoundOfIn0(X1,xT,xU) ) )
        & ( ( aElementOf0(X1,xU)
            & sdtlseqdt0(sdtlpdtrp0(xf,X1),X1)
            & ( ! [X2] :
                  ( aElementOf0(X2,xT)
                 => sdtlseqdt0(X2,X1) )
              | aUpperBoundOfIn0(X1,xT,xU) ) )
         => aElementOf0(X1,xP) ) )
    & xP = cS1241(xU,xf,xT) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1244) ).

fof(m__1299,hypothesis,
    ( ! [X1] :
        ( aElementOf0(X1,xP)
       => sdtlseqdt0(sdtlpdtrp0(xf,xp),X1) )
    & aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU)
    & ! [X1] :
        ( aElementOf0(X1,xT)
       => sdtlseqdt0(X1,sdtlpdtrp0(xf,xp)) )
    & aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1299) ).

fof(m__1261,hypothesis,
    ( aElementOf0(xp,xU)
    & aElementOf0(xp,xU)
    & ! [X1] :
        ( aElementOf0(X1,xP)
       => sdtlseqdt0(xp,X1) )
    & aLowerBoundOfIn0(xp,xP,xU)
    & ! [X1] :
        ( ( ( aElementOf0(X1,xU)
            & ! [X2] :
                ( aElementOf0(X2,xP)
               => sdtlseqdt0(X1,X2) ) )
          | aLowerBoundOfIn0(X1,xP,xU) )
       => sdtlseqdt0(X1,xp) )
    & aInfimumOfIn0(xp,xP,xU) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1261) ).

fof(mEOfElem,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ! [X2] :
          ( aElementOf0(X2,X1)
         => aElement0(X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mEOfElem) ).

fof(mDefMonot,axiom,
    ! [X1] :
      ( aFunction0(X1)
     => ( isMonotone0(X1)
      <=> ! [X2,X3] :
            ( ( aElementOf0(X2,szDzozmdt0(X1))
              & aElementOf0(X3,szDzozmdt0(X1)) )
           => ( sdtlseqdt0(X2,X3)
             => sdtlseqdt0(sdtlpdtrp0(X1,X2),sdtlpdtrp0(X1,X3)) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefMonot) ).

fof(mASymm,axiom,
    ! [X1,X2] :
      ( ( aElement0(X1)
        & aElement0(X2) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X2,X1) )
       => X1 = X2 ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mASymm) ).

fof(mImgSort,axiom,
    ! [X1] :
      ( aFunction0(X1)
     => ! [X2] :
          ( aElementOf0(X2,szDzozmdt0(X1))
         => aElementOf0(sdtlpdtrp0(X1,X2),szRzazndt0(X1)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mImgSort) ).

fof(m__,conjecture,
    ( ( ( aElementOf0(xp,szDzozmdt0(xf))
        & sdtlpdtrp0(xf,xp) = xp )
      | aFixedPointOf0(xp,xf) )
    & ( ( ( ! [X1] :
              ( aElementOf0(X1,xT)
             => sdtlseqdt0(X1,xp) )
          | aUpperBoundOfIn0(xp,xT,xS) )
        & ! [X1] :
            ( ( aElementOf0(X1,xS)
              & ! [X2] :
                  ( aElementOf0(X2,xT)
                 => sdtlseqdt0(X2,X1) )
              & aUpperBoundOfIn0(X1,xT,xS) )
           => sdtlseqdt0(xp,X1) ) )
      | aSupremumOfIn0(xp,xT,xS) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).

fof(m__1144,hypothesis,
    ( aSet0(xS)
    & ! [X1] :
        ( ( aElementOf0(X1,xS)
         => ( aElementOf0(X1,szDzozmdt0(xf))
            & sdtlpdtrp0(xf,X1) = X1
            & aFixedPointOf0(X1,xf) ) )
        & ( ( ( aElementOf0(X1,szDzozmdt0(xf))
              & sdtlpdtrp0(xf,X1) = X1 )
            | aFixedPointOf0(X1,xf) )
         => aElementOf0(X1,xS) ) )
    & xS = cS1142(xf) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1144) ).

fof(mRanSort,axiom,
    ! [X1] :
      ( aFunction0(X1)
     => aSet0(szRzazndt0(X1)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mRanSort) ).

fof(mARefl,axiom,
    ! [X1] :
      ( aElement0(X1)
     => sdtlseqdt0(X1,X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mARefl) ).

fof(c_0_12,plain,
    ! [X1] :
      ( epred1_1(X1)
    <=> ? [X2] :
          ( aElementOf0(X2,xU)
          & aElementOf0(X2,xU)
          & ! [X3] :
              ( aElementOf0(X3,X1)
             => sdtlseqdt0(X2,X3) )
          & aLowerBoundOfIn0(X2,X1,xU)
          & ! [X3] :
              ( ( ( aElementOf0(X3,xU)
                  & ! [X4] :
                      ( aElementOf0(X4,X1)
                     => sdtlseqdt0(X3,X4) ) )
                | aLowerBoundOfIn0(X3,X1,xU) )
             => sdtlseqdt0(X3,X2) )
          & aInfimumOfIn0(X2,X1,xU)
          & ? [X3] :
              ( aElementOf0(X3,xU)
              & aElementOf0(X3,xU)
              & ! [X4] :
                  ( aElementOf0(X4,X1)
                 => sdtlseqdt0(X4,X3) )
              & aUpperBoundOfIn0(X3,X1,xU)
              & ! [X4] :
                  ( ( ( aElementOf0(X4,xU)
                      & ! [X5] :
                          ( aElementOf0(X5,X1)
                         => sdtlseqdt0(X5,X4) ) )
                    | aUpperBoundOfIn0(X4,X1,xU) )
                 => sdtlseqdt0(X3,X4) )
              & aSupremumOfIn0(X3,X1,xU) ) ) ),
    introduced(definition) ).

fof(c_0_13,hypothesis,
    ( aSet0(xU)
    & ! [X1] :
        ( ( ( aSet0(X1)
            & ! [X2] :
                ( aElementOf0(X2,X1)
               => aElementOf0(X2,xU) ) )
          | aSubsetOf0(X1,xU) )
       => epred1_1(X1) )
    & aCompleteLattice0(xU)
    & aFunction0(xf)
    & ! [X1,X2] :
        ( ( aElementOf0(X1,szDzozmdt0(xf))
          & aElementOf0(X2,szDzozmdt0(xf)) )
       => ( sdtlseqdt0(X1,X2)
         => sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X2)) ) )
    & isMonotone0(xf)
    & szDzozmdt0(xf) = szRzazndt0(xf)
    & szRzazndt0(xf) = xU
    & isOn0(xf,xU) ),
    inference(apply_def,[status(thm)],[m__1123,c_0_12]) ).

fof(c_0_14,hypothesis,
    ! [X3,X4,X3] :
      ( aSet0(xP)
      & ( aElementOf0(X3,xU)
        | ~ aElementOf0(X3,xP) )
      & ( sdtlseqdt0(sdtlpdtrp0(xf,X3),X3)
        | ~ aElementOf0(X3,xP) )
      & ( ~ aElementOf0(X4,xT)
        | sdtlseqdt0(X4,X3)
        | ~ aElementOf0(X3,xP) )
      & ( aUpperBoundOfIn0(X3,xT,xU)
        | ~ aElementOf0(X3,xP) )
      & ( aElementOf0(esk13_1(X3),xT)
        | ~ aElementOf0(X3,xU)
        | ~ sdtlseqdt0(sdtlpdtrp0(xf,X3),X3)
        | aElementOf0(X3,xP) )
      & ( ~ sdtlseqdt0(esk13_1(X3),X3)
        | ~ aElementOf0(X3,xU)
        | ~ sdtlseqdt0(sdtlpdtrp0(xf,X3),X3)
        | aElementOf0(X3,xP) )
      & ( ~ aUpperBoundOfIn0(X3,xT,xU)
        | ~ aElementOf0(X3,xU)
        | ~ sdtlseqdt0(sdtlpdtrp0(xf,X3),X3)
        | aElementOf0(X3,xP) )
      & xP = cS1241(xU,xf,xT) ),
    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__1244])])])])])])]) ).

fof(c_0_15,hypothesis,
    ! [X2,X3] :
      ( ( ~ aElementOf0(X2,xP)
        | sdtlseqdt0(sdtlpdtrp0(xf,xp),X2) )
      & aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU)
      & ( ~ aElementOf0(X3,xT)
        | sdtlseqdt0(X3,sdtlpdtrp0(xf,xp)) )
      & aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU) ),
    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__1299])])])])]) ).

fof(c_0_16,hypothesis,
    ! [X3,X4] :
      ( aElementOf0(xp,xU)
      & ( ~ aElementOf0(X3,xP)
        | sdtlseqdt0(xp,X3) )
      & aLowerBoundOfIn0(xp,xP,xU)
      & ( aElementOf0(esk14_1(X4),xP)
        | ~ aElementOf0(X4,xU)
        | sdtlseqdt0(X4,xp) )
      & ( ~ sdtlseqdt0(X4,esk14_1(X4))
        | ~ aElementOf0(X4,xU)
        | sdtlseqdt0(X4,xp) )
      & ( ~ aLowerBoundOfIn0(X4,xP,xU)
        | sdtlseqdt0(X4,xp) )
      & aInfimumOfIn0(xp,xP,xU) ),
    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)],[m__1261])])])])])])])]) ).

fof(c_0_17,plain,
    ! [X3,X4] :
      ( ~ aSet0(X3)
      | ~ aElementOf0(X4,X3)
      | aElement0(X4) ),
    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)],[mEOfElem])])])])]) ).

fof(c_0_18,hypothesis,
    ! [X3,X5,X6] :
      ( aSet0(xU)
      & ( aElementOf0(esk12_1(X3),X3)
        | ~ aSet0(X3)
        | epred1_1(X3) )
      & ( ~ aElementOf0(esk12_1(X3),xU)
        | ~ aSet0(X3)
        | epred1_1(X3) )
      & ( ~ aSubsetOf0(X3,xU)
        | epred1_1(X3) )
      & aCompleteLattice0(xU)
      & aFunction0(xf)
      & ( ~ aElementOf0(X5,szDzozmdt0(xf))
        | ~ aElementOf0(X6,szDzozmdt0(xf))
        | ~ sdtlseqdt0(X5,X6)
        | sdtlseqdt0(sdtlpdtrp0(xf,X5),sdtlpdtrp0(xf,X6)) )
      & isMonotone0(xf)
      & szDzozmdt0(xf) = szRzazndt0(xf)
      & szRzazndt0(xf) = xU
      & isOn0(xf,xU) ),
    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)],[c_0_13])])])])])])]) ).

cnf(c_0_19,hypothesis,
    ( aElementOf0(X1,xP)
    | ~ sdtlseqdt0(sdtlpdtrp0(xf,X1),X1)
    | ~ aElementOf0(X1,xU)
    | ~ aUpperBoundOfIn0(X1,xT,xU) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,hypothesis,
    aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_21,plain,
    ! [X4,X5,X6] :
      ( ( ~ isMonotone0(X4)
        | ~ aElementOf0(X5,szDzozmdt0(X4))
        | ~ aElementOf0(X6,szDzozmdt0(X4))
        | ~ sdtlseqdt0(X5,X6)
        | sdtlseqdt0(sdtlpdtrp0(X4,X5),sdtlpdtrp0(X4,X6))
        | ~ aFunction0(X4) )
      & ( aElementOf0(esk10_1(X4),szDzozmdt0(X4))
        | isMonotone0(X4)
        | ~ aFunction0(X4) )
      & ( aElementOf0(esk11_1(X4),szDzozmdt0(X4))
        | isMonotone0(X4)
        | ~ aFunction0(X4) )
      & ( sdtlseqdt0(esk10_1(X4),esk11_1(X4))
        | isMonotone0(X4)
        | ~ aFunction0(X4) )
      & ( ~ sdtlseqdt0(sdtlpdtrp0(X4,esk10_1(X4)),sdtlpdtrp0(X4,esk11_1(X4)))
        | isMonotone0(X4)
        | ~ aFunction0(X4) ) ),
    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)],[mDefMonot])])])])])])]) ).

cnf(c_0_22,hypothesis,
    ( sdtlseqdt0(X1,xp)
    | ~ aLowerBoundOfIn0(X1,xP,xU) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,hypothesis,
    aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_24,plain,
    ! [X3,X4] :
      ( ~ aElement0(X3)
      | ~ aElement0(X4)
      | ~ sdtlseqdt0(X3,X4)
      | ~ sdtlseqdt0(X4,X3)
      | X3 = X4 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mASymm])]) ).

cnf(c_0_25,plain,
    ( aElement0(X1)
    | ~ aElementOf0(X1,X2)
    | ~ aSet0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_26,hypothesis,
    aElementOf0(xp,xU),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_27,hypothesis,
    aSet0(xU),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_28,hypothesis,
    ( aElementOf0(sdtlpdtrp0(xf,xp),xP)
    | ~ sdtlseqdt0(sdtlpdtrp0(xf,sdtlpdtrp0(xf,xp)),sdtlpdtrp0(xf,xp))
    | ~ aElementOf0(sdtlpdtrp0(xf,xp),xU) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_29,plain,
    ( sdtlseqdt0(sdtlpdtrp0(X1,X2),sdtlpdtrp0(X1,X3))
    | ~ aFunction0(X1)
    | ~ sdtlseqdt0(X2,X3)
    | ~ aElementOf0(X3,szDzozmdt0(X1))
    | ~ aElementOf0(X2,szDzozmdt0(X1))
    | ~ isMonotone0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_30,hypothesis,
    isMonotone0(xf),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_31,hypothesis,
    aFunction0(xf),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_32,hypothesis,
    sdtlseqdt0(sdtlpdtrp0(xf,xp),xp),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_33,hypothesis,
    szDzozmdt0(xf) = szRzazndt0(xf),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_34,hypothesis,
    szRzazndt0(xf) = xU,
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_35,plain,
    ! [X3,X4] :
      ( ~ aFunction0(X3)
      | ~ aElementOf0(X4,szDzozmdt0(X3))
      | aElementOf0(sdtlpdtrp0(X3,X4),szRzazndt0(X3)) ),
    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)],[mImgSort])])])])]) ).

cnf(c_0_36,plain,
    ( X1 = X2
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_37,hypothesis,
    aElement0(xp),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).

cnf(c_0_38,hypothesis,
    ( aElementOf0(sdtlpdtrp0(xf,xp),xP)
    | ~ aElementOf0(sdtlpdtrp0(xf,xp),xU) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_26]),c_0_33]),c_0_34])]) ).

cnf(c_0_39,hypothesis,
    aSet0(xP),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_40,plain,
    ( aElementOf0(sdtlpdtrp0(X1,X2),szRzazndt0(X1))
    | ~ aElementOf0(X2,szDzozmdt0(X1))
    | ~ aFunction0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_41,hypothesis,
    ( sdtlpdtrp0(xf,xp) = xp
    | ~ sdtlseqdt0(xp,sdtlpdtrp0(xf,xp))
    | ~ aElement0(sdtlpdtrp0(xf,xp)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_32]),c_0_37])]) ).

cnf(c_0_42,hypothesis,
    ( sdtlseqdt0(xp,X1)
    | ~ aElementOf0(X1,xP) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_43,hypothesis,
    ( aElement0(sdtlpdtrp0(xf,xp))
    | ~ aElementOf0(sdtlpdtrp0(xf,xp),xU) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_38]),c_0_39])]) ).

cnf(c_0_44,hypothesis,
    ( aElementOf0(sdtlpdtrp0(xf,X1),xU)
    | ~ aElementOf0(X1,xU) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_34]),c_0_31]),c_0_33]),c_0_34])]) ).

fof(c_0_45,negated_conjecture,
    ~ ( ( ( aElementOf0(xp,szDzozmdt0(xf))
          & sdtlpdtrp0(xf,xp) = xp )
        | aFixedPointOf0(xp,xf) )
      & ( ( ( ! [X1] :
                ( aElementOf0(X1,xT)
               => sdtlseqdt0(X1,xp) )
            | aUpperBoundOfIn0(xp,xT,xS) )
          & ! [X1] :
              ( ( aElementOf0(X1,xS)
                & ! [X2] :
                    ( aElementOf0(X2,xT)
                   => sdtlseqdt0(X2,X1) )
                & aUpperBoundOfIn0(X1,xT,xS) )
             => sdtlseqdt0(xp,X1) ) )
        | aSupremumOfIn0(xp,xT,xS) ) ),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_46,hypothesis,
    ( sdtlpdtrp0(xf,xp) = xp
    | ~ aElementOf0(sdtlpdtrp0(xf,xp),xP)
    | ~ aElement0(sdtlpdtrp0(xf,xp)) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_47,hypothesis,
    aElement0(sdtlpdtrp0(xf,xp)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_26])]) ).

fof(c_0_48,negated_conjecture,
    ! [X5] :
      ( ( aElementOf0(esk16_0,xS)
        | aElementOf0(esk15_0,xT)
        | ~ aElementOf0(xp,szDzozmdt0(xf))
        | sdtlpdtrp0(xf,xp) != xp )
      & ( ~ aElementOf0(X5,xT)
        | sdtlseqdt0(X5,esk16_0)
        | aElementOf0(esk15_0,xT)
        | ~ aElementOf0(xp,szDzozmdt0(xf))
        | sdtlpdtrp0(xf,xp) != xp )
      & ( aUpperBoundOfIn0(esk16_0,xT,xS)
        | aElementOf0(esk15_0,xT)
        | ~ aElementOf0(xp,szDzozmdt0(xf))
        | sdtlpdtrp0(xf,xp) != xp )
      & ( ~ sdtlseqdt0(xp,esk16_0)
        | aElementOf0(esk15_0,xT)
        | ~ aElementOf0(xp,szDzozmdt0(xf))
        | sdtlpdtrp0(xf,xp) != xp )
      & ( aElementOf0(esk16_0,xS)
        | ~ sdtlseqdt0(esk15_0,xp)
        | ~ aElementOf0(xp,szDzozmdt0(xf))
        | sdtlpdtrp0(xf,xp) != xp )
      & ( ~ aElementOf0(X5,xT)
        | sdtlseqdt0(X5,esk16_0)
        | ~ sdtlseqdt0(esk15_0,xp)
        | ~ aElementOf0(xp,szDzozmdt0(xf))
        | sdtlpdtrp0(xf,xp) != xp )
      & ( aUpperBoundOfIn0(esk16_0,xT,xS)
        | ~ sdtlseqdt0(esk15_0,xp)
        | ~ aElementOf0(xp,szDzozmdt0(xf))
        | sdtlpdtrp0(xf,xp) != xp )
      & ( ~ sdtlseqdt0(xp,esk16_0)
        | ~ sdtlseqdt0(esk15_0,xp)
        | ~ aElementOf0(xp,szDzozmdt0(xf))
        | sdtlpdtrp0(xf,xp) != xp )
      & ( aElementOf0(esk16_0,xS)
        | ~ aUpperBoundOfIn0(xp,xT,xS)
        | ~ aElementOf0(xp,szDzozmdt0(xf))
        | sdtlpdtrp0(xf,xp) != xp )
      & ( ~ aElementOf0(X5,xT)
        | sdtlseqdt0(X5,esk16_0)
        | ~ aUpperBoundOfIn0(xp,xT,xS)
        | ~ aElementOf0(xp,szDzozmdt0(xf))
        | sdtlpdtrp0(xf,xp) != xp )
      & ( aUpperBoundOfIn0(esk16_0,xT,xS)
        | ~ aUpperBoundOfIn0(xp,xT,xS)
        | ~ aElementOf0(xp,szDzozmdt0(xf))
        | sdtlpdtrp0(xf,xp) != xp )
      & ( ~ sdtlseqdt0(xp,esk16_0)
        | ~ aUpperBoundOfIn0(xp,xT,xS)
        | ~ aElementOf0(xp,szDzozmdt0(xf))
        | sdtlpdtrp0(xf,xp) != xp )
      & ( ~ aSupremumOfIn0(xp,xT,xS)
        | ~ aElementOf0(xp,szDzozmdt0(xf))
        | sdtlpdtrp0(xf,xp) != xp )
      & ( aElementOf0(esk16_0,xS)
        | aElementOf0(esk15_0,xT)
        | ~ aFixedPointOf0(xp,xf) )
      & ( ~ aElementOf0(X5,xT)
        | sdtlseqdt0(X5,esk16_0)
        | aElementOf0(esk15_0,xT)
        | ~ aFixedPointOf0(xp,xf) )
      & ( aUpperBoundOfIn0(esk16_0,xT,xS)
        | aElementOf0(esk15_0,xT)
        | ~ aFixedPointOf0(xp,xf) )
      & ( ~ sdtlseqdt0(xp,esk16_0)
        | aElementOf0(esk15_0,xT)
        | ~ aFixedPointOf0(xp,xf) )
      & ( aElementOf0(esk16_0,xS)
        | ~ sdtlseqdt0(esk15_0,xp)
        | ~ aFixedPointOf0(xp,xf) )
      & ( ~ aElementOf0(X5,xT)
        | sdtlseqdt0(X5,esk16_0)
        | ~ sdtlseqdt0(esk15_0,xp)
        | ~ aFixedPointOf0(xp,xf) )
      & ( aUpperBoundOfIn0(esk16_0,xT,xS)
        | ~ sdtlseqdt0(esk15_0,xp)
        | ~ aFixedPointOf0(xp,xf) )
      & ( ~ sdtlseqdt0(xp,esk16_0)
        | ~ sdtlseqdt0(esk15_0,xp)
        | ~ aFixedPointOf0(xp,xf) )
      & ( aElementOf0(esk16_0,xS)
        | ~ aUpperBoundOfIn0(xp,xT,xS)
        | ~ aFixedPointOf0(xp,xf) )
      & ( ~ aElementOf0(X5,xT)
        | sdtlseqdt0(X5,esk16_0)
        | ~ aUpperBoundOfIn0(xp,xT,xS)
        | ~ aFixedPointOf0(xp,xf) )
      & ( aUpperBoundOfIn0(esk16_0,xT,xS)
        | ~ aUpperBoundOfIn0(xp,xT,xS)
        | ~ aFixedPointOf0(xp,xf) )
      & ( ~ sdtlseqdt0(xp,esk16_0)
        | ~ aUpperBoundOfIn0(xp,xT,xS)
        | ~ aFixedPointOf0(xp,xf) )
      & ( ~ aSupremumOfIn0(xp,xT,xS)
        | ~ aFixedPointOf0(xp,xf) ) ),
    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)],[c_0_45])])])])])])]) ).

fof(c_0_49,hypothesis,
    ! [X2,X2] :
      ( aSet0(xS)
      & ( aElementOf0(X2,szDzozmdt0(xf))
        | ~ aElementOf0(X2,xS) )
      & ( sdtlpdtrp0(xf,X2) = X2
        | ~ aElementOf0(X2,xS) )
      & ( aFixedPointOf0(X2,xf)
        | ~ aElementOf0(X2,xS) )
      & ( ~ aElementOf0(X2,szDzozmdt0(xf))
        | sdtlpdtrp0(xf,X2) != X2
        | aElementOf0(X2,xS) )
      & ( ~ aFixedPointOf0(X2,xf)
        | aElementOf0(X2,xS) )
      & xS = cS1142(xf) ),
    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__1144])])])])])]) ).

cnf(c_0_50,hypothesis,
    ( sdtlpdtrp0(xf,xp) = xp
    | ~ aElementOf0(sdtlpdtrp0(xf,xp),xP) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47])]) ).

cnf(c_0_51,negated_conjecture,
    ( aElementOf0(esk15_0,xT)
    | aElementOf0(esk16_0,xS)
    | sdtlpdtrp0(xf,xp) != xp
    | ~ aElementOf0(xp,szDzozmdt0(xf)) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_52,negated_conjecture,
    ( ~ aFixedPointOf0(xp,xf)
    | ~ sdtlseqdt0(esk15_0,xp)
    | ~ sdtlseqdt0(xp,esk16_0) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_53,hypothesis,
    ( aFixedPointOf0(X1,xf)
    | ~ aElementOf0(X1,xS) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_54,hypothesis,
    ( sdtlseqdt0(X1,sdtlpdtrp0(xf,xp))
    | ~ aElementOf0(X1,xT) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_55,hypothesis,
    ( sdtlpdtrp0(xf,X1) = X1
    | ~ aElementOf0(X1,xS) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_56,negated_conjecture,
    ( aElementOf0(esk15_0,xT)
    | ~ aFixedPointOf0(xp,xf)
    | ~ sdtlseqdt0(xp,esk16_0) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_57,negated_conjecture,
    ( sdtlseqdt0(X1,esk16_0)
    | sdtlpdtrp0(xf,xp) != xp
    | ~ aElementOf0(xp,szDzozmdt0(xf))
    | ~ sdtlseqdt0(esk15_0,xp)
    | ~ aElementOf0(X1,xT) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_58,negated_conjecture,
    ( aElementOf0(esk15_0,xT)
    | sdtlseqdt0(X1,esk16_0)
    | sdtlpdtrp0(xf,xp) != xp
    | ~ aElementOf0(xp,szDzozmdt0(xf))
    | ~ aElementOf0(X1,xT) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_59,hypothesis,
    ( sdtlpdtrp0(xf,xp) = xp
    | ~ aElementOf0(sdtlpdtrp0(xf,xp),xU) ),
    inference(spm,[status(thm)],[c_0_50,c_0_38]) ).

cnf(c_0_60,negated_conjecture,
    ( aElementOf0(esk16_0,xS)
    | ~ aFixedPointOf0(xp,xf)
    | ~ sdtlseqdt0(esk15_0,xp) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_61,negated_conjecture,
    ( aElementOf0(esk16_0,xS)
    | aElementOf0(esk15_0,xT)
    | sdtlpdtrp0(xf,xp) != xp ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_33]),c_0_34]),c_0_26])]) ).

cnf(c_0_62,hypothesis,
    ( aElementOf0(X1,xS)
    | sdtlpdtrp0(xf,X1) != X1
    | ~ aElementOf0(X1,szDzozmdt0(xf)) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_63,negated_conjecture,
    ( ~ sdtlseqdt0(xp,esk16_0)
    | ~ sdtlseqdt0(esk15_0,xp)
    | ~ aElementOf0(xp,xS) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_64,hypothesis,
    ( sdtlseqdt0(X1,xp)
    | ~ aElementOf0(xp,xS)
    | ~ aElementOf0(X1,xT) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_65,negated_conjecture,
    ( aElementOf0(esk15_0,xT)
    | ~ sdtlseqdt0(xp,esk16_0)
    | ~ aElementOf0(xp,xS) ),
    inference(spm,[status(thm)],[c_0_56,c_0_53]) ).

cnf(c_0_66,hypothesis,
    ( aElementOf0(X1,szDzozmdt0(xf))
    | ~ aElementOf0(X1,xS) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_67,negated_conjecture,
    ( sdtlseqdt0(X1,esk16_0)
    | sdtlpdtrp0(xf,xp) != xp
    | ~ sdtlseqdt0(esk15_0,xp)
    | ~ aElementOf0(X1,xT) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_33]),c_0_34]),c_0_26])]) ).

cnf(c_0_68,hypothesis,
    ( sdtlseqdt0(X2,X1)
    | ~ aElementOf0(X1,xP)
    | ~ aElementOf0(X2,xT) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_69,negated_conjecture,
    ( sdtlseqdt0(X1,esk16_0)
    | aElementOf0(esk15_0,xT)
    | sdtlpdtrp0(xf,xp) != xp
    | ~ aElementOf0(X1,xT) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_33]),c_0_34]),c_0_26])]) ).

cnf(c_0_70,hypothesis,
    sdtlpdtrp0(xf,xp) = xp,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_44]),c_0_26])]) ).

cnf(c_0_71,negated_conjecture,
    ( aElementOf0(esk16_0,xS)
    | ~ sdtlseqdt0(esk15_0,xp)
    | ~ aElementOf0(xp,xS) ),
    inference(spm,[status(thm)],[c_0_60,c_0_53]) ).

cnf(c_0_72,hypothesis,
    ( aElementOf0(esk15_0,xT)
    | aElementOf0(esk16_0,xS)
    | ~ aElementOf0(xp,xS) ),
    inference(spm,[status(thm)],[c_0_61,c_0_55]) ).

cnf(c_0_73,hypothesis,
    ( aElementOf0(X1,xS)
    | sdtlpdtrp0(xf,X1) != X1
    | ~ aElementOf0(X1,xU) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_33]),c_0_34]) ).

cnf(c_0_74,negated_conjecture,
    ( ~ sdtlseqdt0(xp,esk16_0)
    | ~ aElementOf0(xp,xS) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).

fof(c_0_75,plain,
    ! [X2] :
      ( ~ aFunction0(X2)
      | aSet0(szRzazndt0(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mRanSort])]) ).

cnf(c_0_76,hypothesis,
    ( aElementOf0(X1,xP)
    | ~ sdtlseqdt0(sdtlpdtrp0(xf,X1),X1)
    | ~ aElementOf0(X1,xU)
    | ~ sdtlseqdt0(esk13_1(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_77,hypothesis,
    ( aElementOf0(X1,xU)
    | ~ aElementOf0(X1,xS) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_33]),c_0_34]) ).

cnf(c_0_78,negated_conjecture,
    ( sdtlseqdt0(X1,esk16_0)
    | sdtlpdtrp0(xf,xp) != xp
    | ~ aElementOf0(xp,xP)
    | ~ aElementOf0(X1,xT) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).

cnf(c_0_79,hypothesis,
    aElementOf0(xp,xP),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_70]),c_0_70]),c_0_26])]) ).

cnf(c_0_80,negated_conjecture,
    ( aElementOf0(esk16_0,xS)
    | ~ aElementOf0(xp,xS) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_64]),c_0_72]) ).

cnf(c_0_81,hypothesis,
    aElementOf0(xp,xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_70]),c_0_26])]) ).

cnf(c_0_82,hypothesis,
    ( ~ aElementOf0(xp,xS)
    | ~ aElementOf0(esk16_0,xP) ),
    inference(spm,[status(thm)],[c_0_74,c_0_42]) ).

cnf(c_0_83,hypothesis,
    aSet0(xS),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_84,plain,
    ( aSet0(szRzazndt0(X1))
    | ~ aFunction0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_85,hypothesis,
    ( aElementOf0(X1,xP)
    | ~ sdtlseqdt0(esk13_1(X1),X1)
    | ~ sdtlseqdt0(X1,X1)
    | ~ aElementOf0(X1,xS) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_55]),c_0_77]) ).

cnf(c_0_86,negated_conjecture,
    ( sdtlseqdt0(X1,esk16_0)
    | ~ aElementOf0(X1,xT) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_70])]),c_0_79])]) ).

cnf(c_0_87,negated_conjecture,
    aElementOf0(esk16_0,xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_81])]) ).

cnf(c_0_88,hypothesis,
    ~ aElementOf0(esk16_0,xP),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_81])]) ).

fof(c_0_89,plain,
    ! [X2] :
      ( ~ aElement0(X2)
      | sdtlseqdt0(X2,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mARefl])]) ).

cnf(c_0_90,negated_conjecture,
    ( aElement0(esk16_0)
    | ~ aElementOf0(xp,xS) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_80]),c_0_83])]) ).

cnf(c_0_91,hypothesis,
    ( aElementOf0(X1,xP)
    | aElementOf0(esk13_1(X1),xT)
    | ~ sdtlseqdt0(sdtlpdtrp0(xf,X1),X1)
    | ~ aElementOf0(X1,xU) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_92,plain,
    ( aElement0(sdtlpdtrp0(X1,X2))
    | ~ aFunction0(X1)
    | ~ aElementOf0(X2,szDzozmdt0(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_40]),c_0_84]) ).

cnf(c_0_93,hypothesis,
    ( ~ sdtlseqdt0(esk16_0,esk16_0)
    | ~ aElementOf0(esk13_1(esk16_0),xT) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87])]),c_0_88]) ).

cnf(c_0_94,plain,
    ( sdtlseqdt0(X1,X1)
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_95,negated_conjecture,
    aElement0(esk16_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_81])]) ).

cnf(c_0_96,hypothesis,
    ( aElementOf0(esk13_1(X1),xT)
    | aElementOf0(X1,xP)
    | ~ sdtlseqdt0(X1,X1)
    | ~ aElementOf0(X1,xS) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_55]),c_0_77]) ).

cnf(c_0_97,hypothesis,
    ( aElement0(X1)
    | ~ aElementOf0(X1,xS) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_55]),c_0_31]),c_0_33]),c_0_34])]),c_0_77]) ).

cnf(c_0_98,hypothesis,
    ~ aElementOf0(esk13_1(esk16_0),xT),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95])]) ).

cnf(c_0_99,hypothesis,
    ( aElementOf0(esk13_1(X1),xT)
    | aElementOf0(X1,xP)
    | ~ aElementOf0(X1,xS) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_94]),c_0_97]) ).

cnf(c_0_100,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_87])]),c_0_88]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : LAT387+4 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n017.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 : Wed Jun 29 10:48:37 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.22/1.41  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.22/1.41  # Preprocessing time       : 0.021 s
% 0.22/1.41  
% 0.22/1.41  # Proof found!
% 0.22/1.41  # SZS status Theorem
% 0.22/1.41  # SZS output start CNFRefutation
% See solution above
% 0.22/1.41  # Proof object total steps             : 101
% 0.22/1.41  # Proof object clause steps            : 74
% 0.22/1.41  # Proof object formula steps           : 27
% 0.22/1.41  # Proof object conjectures             : 22
% 0.22/1.41  # Proof object clause conjectures      : 19
% 0.22/1.41  # Proof object formula conjectures     : 3
% 0.22/1.41  # Proof object initial clauses used    : 33
% 0.22/1.41  # Proof object initial formulas used   : 12
% 0.22/1.41  # Proof object generating inferences   : 30
% 0.22/1.41  # Proof object simplifying inferences  : 79
% 0.22/1.41  # Training examples: 0 positive, 0 negative
% 0.22/1.41  # Parsed axioms                        : 30
% 0.22/1.41  # Removed by relevancy pruning/SinE    : 0
% 0.22/1.41  # Initial clauses                      : 134
% 0.22/1.41  # Removed in clause preprocessing      : 4
% 0.22/1.41  # Initial clauses in saturation        : 130
% 0.22/1.41  # Processed clauses                    : 794
% 0.22/1.41  # ...of these trivial                  : 20
% 0.22/1.41  # ...subsumed                          : 293
% 0.22/1.41  # ...remaining for further processing  : 481
% 0.22/1.41  # Other redundant clauses eliminated   : 0
% 0.22/1.41  # Clauses deleted for lack of memory   : 0
% 0.22/1.41  # Backward-subsumed                    : 38
% 0.22/1.41  # Backward-rewritten                   : 82
% 0.22/1.41  # Generated clauses                    : 2436
% 0.22/1.41  # ...of the previous two non-trivial   : 2067
% 0.22/1.41  # Contextual simplify-reflections      : 238
% 0.22/1.41  # Paramodulations                      : 2434
% 0.22/1.41  # Factorizations                       : 0
% 0.22/1.41  # Equation resolutions                 : 0
% 0.22/1.41  # Current number of processed clauses  : 359
% 0.22/1.41  #    Positive orientable unit clauses  : 50
% 0.22/1.41  #    Positive unorientable unit clauses: 0
% 0.22/1.41  #    Negative unit clauses             : 12
% 0.22/1.41  #    Non-unit-clauses                  : 297
% 0.22/1.41  # Current number of unprocessed clauses: 1089
% 0.22/1.41  # ...number of literals in the above   : 6199
% 0.22/1.41  # Current number of archived formulas  : 0
% 0.22/1.41  # Current number of archived clauses   : 122
% 0.22/1.41  # Clause-clause subsumption calls (NU) : 35395
% 0.22/1.41  # Rec. Clause-clause subsumption calls : 17518
% 0.22/1.41  # Non-unit clause-clause subsumptions  : 447
% 0.22/1.41  # Unit Clause-clause subsumption calls : 1246
% 0.22/1.41  # Rewrite failures with RHS unbound    : 0
% 0.22/1.41  # BW rewrite match attempts            : 16
% 0.22/1.41  # BW rewrite match successes           : 15
% 0.22/1.41  # Condensation attempts                : 0
% 0.22/1.41  # Condensation successes               : 0
% 0.22/1.41  # Termbank termtop insertions          : 55430
% 0.22/1.41  
% 0.22/1.41  # -------------------------------------------------
% 0.22/1.41  # User time                : 0.113 s
% 0.22/1.41  # System time              : 0.003 s
% 0.22/1.41  # Total time               : 0.116 s
% 0.22/1.41  # Maximum resident set size: 5228 pages
% 0.22/23.41  eprover: CPU time limit exceeded, terminating
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: CPU time limit exceeded, terminating
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48  eprover: No such file or directory
% 0.22/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.49  eprover: No such file or directory
% 0.22/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.49  eprover: No such file or directory
% 0.22/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.50  eprover: No such file or directory
% 0.22/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.50  eprover: No such file or directory
%------------------------------------------------------------------------------