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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM558+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n025.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 09:33:47 EDT 2022

% Result   : Theorem 0.23s 1.41s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   63 (  28 unt;   0 def)
%            Number of atoms       :  308 (  62 equ)
%            Maximal formula atoms :   54 (   4 avg)
%            Number of connectives :  419 ( 174   ~; 186   |;  43   &)
%                                         (   7 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  10 con; 0-3 aty)
%            Number of variables   :   87 (   7 sgn  45   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
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(mDefSub,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ! [X2] :
          ( aSubsetOf0(X2,X1)
        <=> ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
               => aElementOf0(X3,X1) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefSub) ).

fof(mDiffCons,axiom,
    ! [X1,X2] :
      ( ( aElement0(X1)
        & aSet0(X2) )
     => ( ~ aElementOf0(X1,X2)
       => sdtmndt0(sdtpldt0(X2,X1),X1) = X2 ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDiffCons) ).

fof(m__2256,hypothesis,
    aElementOf0(xx,xS),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2256) ).

fof(m__2202_02,hypothesis,
    ( aSet0(xS)
    & aSet0(xT)
    & xk != sz00 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2202_02) ).

fof(mDefDiff,axiom,
    ! [X1,X2] :
      ( ( aSet0(X1)
        & aElement0(X2) )
     => ! [X3] :
          ( X3 = sdtmndt0(X1,X2)
        <=> ( aSet0(X3)
            & ! [X4] :
                ( aElementOf0(X4,X3)
              <=> ( aElement0(X4)
                  & aElementOf0(X4,X1)
                  & X4 != X2 ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefDiff) ).

fof(m__2227,hypothesis,
    ( aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
    & slbdtsldtrb0(xS,xk) != slcrc0 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2227) ).

fof(mDefSel,axiom,
    ! [X1,X2] :
      ( ( aSet0(X1)
        & aElementOf0(X2,szNzAzT0) )
     => ! [X3] :
          ( X3 = slbdtsldtrb0(X1,X2)
        <=> ( aSet0(X3)
            & ! [X4] :
                ( aElementOf0(X4,X3)
              <=> ( aSubsetOf0(X4,X1)
                  & sbrdtbr0(X4) = X2 ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefSel) ).

fof(m__2357,hypothesis,
    xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2357) ).

fof(m__2378,hypothesis,
    aElementOf0(xP,slbdtsldtrb0(xS,xk)),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2378) ).

fof(mDefCons,axiom,
    ! [X1,X2] :
      ( ( aSet0(X1)
        & aElement0(X2) )
     => ! [X3] :
          ( X3 = sdtpldt0(X1,X2)
        <=> ( aSet0(X3)
            & ! [X4] :
                ( aElementOf0(X4,X3)
              <=> ( aElement0(X4)
                  & ( aElementOf0(X4,X1)
                    | X4 = X2 ) ) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefCons) ).

fof(m__2304,hypothesis,
    ( aElement0(xy)
    & aElementOf0(xy,xQ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2304) ).

fof(m__2291,hypothesis,
    ( aSet0(xQ)
    & isFinite0(xQ)
    & sbrdtbr0(xQ) = xk ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2291) ).

fof(m__2323,hypothesis,
    ~ aElementOf0(xx,xQ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2323) ).

fof(m__2202,hypothesis,
    aElementOf0(xk,szNzAzT0),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2202) ).

fof(m__,conjecture,
    aElementOf0(xx,xT),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).

fof(c_0_16,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_17,plain,
    ! [X4,X5,X6,X5] :
      ( ( aSet0(X5)
        | ~ aSubsetOf0(X5,X4)
        | ~ aSet0(X4) )
      & ( ~ aElementOf0(X6,X5)
        | aElementOf0(X6,X4)
        | ~ aSubsetOf0(X5,X4)
        | ~ aSet0(X4) )
      & ( aElementOf0(esk4_2(X4,X5),X5)
        | ~ aSet0(X5)
        | aSubsetOf0(X5,X4)
        | ~ aSet0(X4) )
      & ( ~ aElementOf0(esk4_2(X4,X5),X4)
        | ~ aSet0(X5)
        | aSubsetOf0(X5,X4)
        | ~ aSet0(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)],[mDefSub])])])])])])]) ).

fof(c_0_18,plain,
    ! [X3,X4] :
      ( ~ aElement0(X3)
      | ~ aSet0(X4)
      | aElementOf0(X3,X4)
      | sdtmndt0(sdtpldt0(X4,X3),X3) = X4 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mDiffCons])])]) ).

cnf(c_0_19,plain,
    ( aElement0(X1)
    | ~ aElementOf0(X1,X2)
    | ~ aSet0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_20,hypothesis,
    aElementOf0(xx,xS),
    inference(split_conjunct,[status(thm)],[m__2256]) ).

cnf(c_0_21,hypothesis,
    aSet0(xS),
    inference(split_conjunct,[status(thm)],[m__2202_02]) ).

fof(c_0_22,plain,
    ! [X5,X6,X7,X8,X8,X7] :
      ( ( aSet0(X7)
        | X7 != sdtmndt0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElement0(X6) )
      & ( aElement0(X8)
        | ~ aElementOf0(X8,X7)
        | X7 != sdtmndt0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElement0(X6) )
      & ( aElementOf0(X8,X5)
        | ~ aElementOf0(X8,X7)
        | X7 != sdtmndt0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElement0(X6) )
      & ( X8 != X6
        | ~ aElementOf0(X8,X7)
        | X7 != sdtmndt0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElement0(X6) )
      & ( ~ aElement0(X8)
        | ~ aElementOf0(X8,X5)
        | X8 = X6
        | aElementOf0(X8,X7)
        | X7 != sdtmndt0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElement0(X6) )
      & ( ~ aElementOf0(esk7_3(X5,X6,X7),X7)
        | ~ aElement0(esk7_3(X5,X6,X7))
        | ~ aElementOf0(esk7_3(X5,X6,X7),X5)
        | esk7_3(X5,X6,X7) = X6
        | ~ aSet0(X7)
        | X7 = sdtmndt0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElement0(X6) )
      & ( aElement0(esk7_3(X5,X6,X7))
        | aElementOf0(esk7_3(X5,X6,X7),X7)
        | ~ aSet0(X7)
        | X7 = sdtmndt0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElement0(X6) )
      & ( aElementOf0(esk7_3(X5,X6,X7),X5)
        | aElementOf0(esk7_3(X5,X6,X7),X7)
        | ~ aSet0(X7)
        | X7 = sdtmndt0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElement0(X6) )
      & ( esk7_3(X5,X6,X7) != X6
        | aElementOf0(esk7_3(X5,X6,X7),X7)
        | ~ aSet0(X7)
        | X7 = sdtmndt0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElement0(X6) ) ),
    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)],[mDefDiff])])])])])])]) ).

cnf(c_0_23,plain,
    ( aElementOf0(X3,X1)
    | ~ aSet0(X1)
    | ~ aSubsetOf0(X2,X1)
    | ~ aElementOf0(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24,hypothesis,
    aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
    inference(split_conjunct,[status(thm)],[m__2227]) ).

fof(c_0_25,plain,
    ! [X5,X6,X7,X8,X8,X7] :
      ( ( aSet0(X7)
        | X7 != slbdtsldtrb0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElementOf0(X6,szNzAzT0) )
      & ( aSubsetOf0(X8,X5)
        | ~ aElementOf0(X8,X7)
        | X7 != slbdtsldtrb0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElementOf0(X6,szNzAzT0) )
      & ( sbrdtbr0(X8) = X6
        | ~ aElementOf0(X8,X7)
        | X7 != slbdtsldtrb0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElementOf0(X6,szNzAzT0) )
      & ( ~ aSubsetOf0(X8,X5)
        | sbrdtbr0(X8) != X6
        | aElementOf0(X8,X7)
        | X7 != slbdtsldtrb0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElementOf0(X6,szNzAzT0) )
      & ( ~ aElementOf0(esk3_3(X5,X6,X7),X7)
        | ~ aSubsetOf0(esk3_3(X5,X6,X7),X5)
        | sbrdtbr0(esk3_3(X5,X6,X7)) != X6
        | ~ aSet0(X7)
        | X7 = slbdtsldtrb0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElementOf0(X6,szNzAzT0) )
      & ( aSubsetOf0(esk3_3(X5,X6,X7),X5)
        | aElementOf0(esk3_3(X5,X6,X7),X7)
        | ~ aSet0(X7)
        | X7 = slbdtsldtrb0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElementOf0(X6,szNzAzT0) )
      & ( sbrdtbr0(esk3_3(X5,X6,X7)) = X6
        | aElementOf0(esk3_3(X5,X6,X7),X7)
        | ~ aSet0(X7)
        | X7 = slbdtsldtrb0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElementOf0(X6,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)],[mDefSel])])])])])])]) ).

cnf(c_0_26,plain,
    ( sdtmndt0(sdtpldt0(X1,X2),X2) = X1
    | aElementOf0(X2,X1)
    | ~ aSet0(X1)
    | ~ aElement0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_27,hypothesis,
    xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
    inference(split_conjunct,[status(thm)],[m__2357]) ).

cnf(c_0_28,hypothesis,
    aElement0(xx),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).

cnf(c_0_29,plain,
    ( aSet0(X3)
    | ~ aElement0(X1)
    | ~ aSet0(X2)
    | X3 != sdtmndt0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_30,hypothesis,
    ( aElementOf0(X1,slbdtsldtrb0(xT,xk))
    | ~ aElementOf0(X1,slbdtsldtrb0(xS,xk))
    | ~ aSet0(slbdtsldtrb0(xT,xk)) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_31,hypothesis,
    aElementOf0(xP,slbdtsldtrb0(xS,xk)),
    inference(split_conjunct,[status(thm)],[m__2378]) ).

cnf(c_0_32,plain,
    ( aSet0(X3)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aSet0(X2)
    | X3 != slbdtsldtrb0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_33,plain,
    ! [X5,X6,X7,X8,X8,X7] :
      ( ( aSet0(X7)
        | X7 != sdtpldt0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElement0(X6) )
      & ( aElement0(X8)
        | ~ aElementOf0(X8,X7)
        | X7 != sdtpldt0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElement0(X6) )
      & ( aElementOf0(X8,X5)
        | X8 = X6
        | ~ aElementOf0(X8,X7)
        | X7 != sdtpldt0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElement0(X6) )
      & ( ~ aElementOf0(X8,X5)
        | ~ aElement0(X8)
        | aElementOf0(X8,X7)
        | X7 != sdtpldt0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElement0(X6) )
      & ( X8 != X6
        | ~ aElement0(X8)
        | aElementOf0(X8,X7)
        | X7 != sdtpldt0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElement0(X6) )
      & ( ~ aElementOf0(esk6_3(X5,X6,X7),X5)
        | ~ aElement0(esk6_3(X5,X6,X7))
        | ~ aElementOf0(esk6_3(X5,X6,X7),X7)
        | ~ aSet0(X7)
        | X7 = sdtpldt0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElement0(X6) )
      & ( esk6_3(X5,X6,X7) != X6
        | ~ aElement0(esk6_3(X5,X6,X7))
        | ~ aElementOf0(esk6_3(X5,X6,X7),X7)
        | ~ aSet0(X7)
        | X7 = sdtpldt0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElement0(X6) )
      & ( aElement0(esk6_3(X5,X6,X7))
        | aElementOf0(esk6_3(X5,X6,X7),X7)
        | ~ aSet0(X7)
        | X7 = sdtpldt0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElement0(X6) )
      & ( aElementOf0(esk6_3(X5,X6,X7),X5)
        | esk6_3(X5,X6,X7) = X6
        | aElementOf0(esk6_3(X5,X6,X7),X7)
        | ~ aSet0(X7)
        | X7 = sdtpldt0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElement0(X6) ) ),
    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)],[mDefCons])])])])])])]) ).

cnf(c_0_34,plain,
    ( aElementOf0(X4,X2)
    | ~ aElement0(X1)
    | ~ aSet0(X2)
    | X3 != sdtmndt0(X2,X1)
    | ~ aElementOf0(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_35,hypothesis,
    ( sdtmndt0(xQ,xy) = sdtmndt0(xP,xx)
    | aElementOf0(xx,sdtmndt0(xQ,xy))
    | ~ aSet0(sdtmndt0(xQ,xy)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).

cnf(c_0_36,plain,
    ( aSet0(sdtmndt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aSet0(X1) ),
    inference(er,[status(thm)],[c_0_29]) ).

cnf(c_0_37,hypothesis,
    aElement0(xy),
    inference(split_conjunct,[status(thm)],[m__2304]) ).

cnf(c_0_38,hypothesis,
    aSet0(xQ),
    inference(split_conjunct,[status(thm)],[m__2291]) ).

fof(c_0_39,hypothesis,
    ~ aElementOf0(xx,xQ),
    inference(fof_simplification,[status(thm)],[m__2323]) ).

cnf(c_0_40,plain,
    ( aSubsetOf0(X4,X2)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aSet0(X2)
    | X3 != slbdtsldtrb0(X2,X1)
    | ~ aElementOf0(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_41,hypothesis,
    ( aElementOf0(xP,slbdtsldtrb0(xT,xk))
    | ~ aSet0(slbdtsldtrb0(xT,xk)) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_42,plain,
    ( aSet0(slbdtsldtrb0(X1,X2))
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aSet0(X1) ),
    inference(er,[status(thm)],[c_0_32]) ).

cnf(c_0_43,hypothesis,
    aElementOf0(xk,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__2202]) ).

cnf(c_0_44,hypothesis,
    aSet0(xT),
    inference(split_conjunct,[status(thm)],[m__2202_02]) ).

cnf(c_0_45,plain,
    ( aElementOf0(X4,X3)
    | ~ aElement0(X1)
    | ~ aSet0(X2)
    | X3 != sdtpldt0(X2,X1)
    | ~ aElement0(X4)
    | X4 != X1 ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_46,plain,
    ( aElementOf0(X1,X2)
    | ~ aElementOf0(X1,sdtmndt0(X2,X3))
    | ~ aElement0(X3)
    | ~ aSet0(X2) ),
    inference(er,[status(thm)],[c_0_34]) ).

cnf(c_0_47,hypothesis,
    ( sdtmndt0(xQ,xy) = sdtmndt0(xP,xx)
    | aElementOf0(xx,sdtmndt0(xQ,xy)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38])]) ).

cnf(c_0_48,hypothesis,
    ~ aElementOf0(xx,xQ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

fof(c_0_49,negated_conjecture,
    ~ aElementOf0(xx,xT),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_50,plain,
    ( aSubsetOf0(X1,X2)
    | ~ aElementOf0(X1,slbdtsldtrb0(X2,X3))
    | ~ aElementOf0(X3,szNzAzT0)
    | ~ aSet0(X2) ),
    inference(er,[status(thm)],[c_0_40]) ).

cnf(c_0_51,hypothesis,
    aElementOf0(xP,slbdtsldtrb0(xT,xk)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44])]) ).

cnf(c_0_52,plain,
    ( aElementOf0(X1,X2)
    | X2 != sdtpldt0(X3,X1)
    | ~ aElement0(X1)
    | ~ aSet0(X3) ),
    inference(er,[status(thm)],[c_0_45]) ).

cnf(c_0_53,hypothesis,
    sdtmndt0(xQ,xy) = sdtmndt0(xP,xx),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_37]),c_0_38])]),c_0_48]) ).

fof(c_0_54,negated_conjecture,
    ~ aElementOf0(xx,xT),
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

cnf(c_0_55,hypothesis,
    aSubsetOf0(xP,xT),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_43]),c_0_44])]) ).

cnf(c_0_56,plain,
    ( aElementOf0(X1,sdtpldt0(X2,X1))
    | ~ aElement0(X1)
    | ~ aSet0(X2) ),
    inference(er,[status(thm)],[c_0_52]) ).

cnf(c_0_57,hypothesis,
    sdtpldt0(sdtmndt0(xP,xx),xx) = xP,
    inference(rw,[status(thm)],[c_0_27,c_0_53]) ).

cnf(c_0_58,hypothesis,
    aSet0(sdtmndt0(xP,xx)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_53]),c_0_37]),c_0_38])]) ).

cnf(c_0_59,negated_conjecture,
    ~ aElementOf0(xx,xT),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_60,hypothesis,
    ( aElementOf0(X1,xT)
    | ~ aElementOf0(X1,xP) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_55]),c_0_44])]) ).

cnf(c_0_61,hypothesis,
    aElementOf0(xx,xP),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_28]),c_0_58])]) ).

cnf(c_0_62,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM558+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.13/0.33  % Computer : n025.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % 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 Jul  5 12:13:12 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.23/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41  # Preprocessing time       : 0.020 s
% 0.23/1.41  
% 0.23/1.41  # Proof found!
% 0.23/1.41  # SZS status Theorem
% 0.23/1.41  # SZS output start CNFRefutation
% See solution above
% 0.23/1.41  # Proof object total steps             : 63
% 0.23/1.41  # Proof object clause steps            : 38
% 0.23/1.41  # Proof object formula steps           : 25
% 0.23/1.41  # Proof object conjectures             : 5
% 0.23/1.41  # Proof object clause conjectures      : 2
% 0.23/1.41  # Proof object formula conjectures     : 3
% 0.23/1.41  # Proof object initial clauses used    : 19
% 0.23/1.41  # Proof object initial formulas used   : 16
% 0.23/1.41  # Proof object generating inferences   : 17
% 0.23/1.41  # Proof object simplifying inferences  : 29
% 0.23/1.41  # Training examples: 0 positive, 0 negative
% 0.23/1.41  # Parsed axioms                        : 72
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 5
% 0.23/1.41  # Initial clauses                      : 117
% 0.23/1.41  # Removed in clause preprocessing      : 5
% 0.23/1.41  # Initial clauses in saturation        : 112
% 0.23/1.41  # Processed clauses                    : 622
% 0.23/1.41  # ...of these trivial                  : 14
% 0.23/1.41  # ...subsumed                          : 242
% 0.23/1.41  # ...remaining for further processing  : 366
% 0.23/1.41  # Other redundant clauses eliminated   : 14
% 0.23/1.41  # Clauses deleted for lack of memory   : 0
% 0.23/1.41  # Backward-subsumed                    : 11
% 0.23/1.41  # Backward-rewritten                   : 20
% 0.23/1.41  # Generated clauses                    : 1503
% 0.23/1.41  # ...of the previous two non-trivial   : 1286
% 0.23/1.41  # Contextual simplify-reflections      : 203
% 0.23/1.41  # Paramodulations                      : 1458
% 0.23/1.41  # Factorizations                       : 0
% 0.23/1.41  # Equation resolutions                 : 45
% 0.23/1.41  # Current number of processed clauses  : 332
% 0.23/1.41  #    Positive orientable unit clauses  : 44
% 0.23/1.41  #    Positive unorientable unit clauses: 0
% 0.23/1.41  #    Negative unit clauses             : 25
% 0.23/1.41  #    Non-unit-clauses                  : 263
% 0.23/1.41  # Current number of unprocessed clauses: 740
% 0.23/1.41  # ...number of literals in the above   : 4007
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 31
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 22984
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 8328
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 334
% 0.23/1.41  # Unit Clause-clause subsumption calls : 3574
% 0.23/1.41  # Rewrite failures with RHS unbound    : 0
% 0.23/1.41  # BW rewrite match attempts            : 12
% 0.23/1.41  # BW rewrite match successes           : 11
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 30411
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.076 s
% 0.23/1.41  # System time              : 0.004 s
% 0.23/1.41  # Total time               : 0.080 s
% 0.23/1.41  # Maximum resident set size: 4604 pages
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
%------------------------------------------------------------------------------