TSTP Solution File: NUM629+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM629+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 09:34:35 EDT 2022

% Result   : Theorem 0.23s 1.42s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   60 (  23 unt;   0 def)
%            Number of atoms       :  267 (  51 equ)
%            Maximal formula atoms :   52 (   4 avg)
%            Number of connectives :  343 ( 136   ~; 142   |;  48   &)
%                                         (   5 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   26 (  26 usr;  13 con; 0-3 aty)
%            Number of variables   :   74 (   5 sgn  43   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
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',mDefDiff) ).

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

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

fof(m__3623,hypothesis,
    ( aFunction0(xN)
    & szDzozmdt0(xN) = szNzAzT0
    & sdtlpdtrp0(xN,sz00) = xS
    & ! [X1] :
        ( aElementOf0(X1,szNzAzT0)
       => ( ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
            & isCountable0(sdtlpdtrp0(xN,X1)) )
         => ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
            & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__3623) ).

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

fof(m__5585,hypothesis,
    xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__5585) ).

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

fof(m__5182,hypothesis,
    aElementOf0(xp,xO),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__5182) ).

fof(m__4891,hypothesis,
    ( aSet0(xO)
    & xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__4891) ).

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',mDefSub) ).

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',mDefSel) ).

fof(mSubTrans,axiom,
    ! [X1,X2,X3] :
      ( ( aSet0(X1)
        & aSet0(X2)
        & aSet0(X3) )
     => ( ( aSubsetOf0(X1,X2)
          & aSubsetOf0(X2,X3) )
       => aSubsetOf0(X1,X3) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mSubTrans) ).

fof(mNATSet,axiom,
    ( aSet0(szNzAzT0)
    & isCountable0(szNzAzT0) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mNATSet) ).

fof(m__,conjecture,
    aElementOf0(xP,slbdtsldtrb0(xD,xk)),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__) ).

fof(m__5217,hypothesis,
    sbrdtbr0(xP) = xk,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__5217) ).

fof(m__3533,hypothesis,
    ( aElementOf0(xk,szNzAzT0)
    & szszuzczcdt0(xk) = xK ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__3533) ).

fof(m__5334,hypothesis,
    aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__5334) ).

fof(c_0_17,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(esk4_3(X5,X6,X7),X7)
        | ~ aElement0(esk4_3(X5,X6,X7))
        | ~ aElementOf0(esk4_3(X5,X6,X7),X5)
        | esk4_3(X5,X6,X7) = X6
        | ~ aSet0(X7)
        | X7 = sdtmndt0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElement0(X6) )
      & ( aElement0(esk4_3(X5,X6,X7))
        | aElementOf0(esk4_3(X5,X6,X7),X7)
        | ~ aSet0(X7)
        | X7 = sdtmndt0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElement0(X6) )
      & ( aElementOf0(esk4_3(X5,X6,X7),X5)
        | aElementOf0(esk4_3(X5,X6,X7),X7)
        | ~ aSet0(X7)
        | X7 = sdtmndt0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElement0(X6) )
      & ( esk4_3(X5,X6,X7) != X6
        | aElementOf0(esk4_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])])])])])])]) ).

fof(c_0_18,hypothesis,
    ! [X2] :
      ( aFunction0(xe)
      & szDzozmdt0(xe) = szNzAzT0
      & ( ~ aElementOf0(X2,szNzAzT0)
        | sdtlpdtrp0(xe,X2) = szmzizndt0(sdtlpdtrp0(xN,X2)) ) ),
    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])])])])]) ).

fof(c_0_19,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_20,hypothesis,
    ! [X2] :
      ( aFunction0(xN)
      & szDzozmdt0(xN) = szNzAzT0
      & sdtlpdtrp0(xN,sz00) = xS
      & ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X2)),sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X2))
        | ~ aElementOf0(X2,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X2)))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X2))
        | ~ aElementOf0(X2,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__3623])])])])])]) ).

fof(c_0_21,hypothesis,
    ! [X2] :
      ( ( aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
        | ~ aElementOf0(X2,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,X2))
        | ~ aElementOf0(X2,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])]) ).

cnf(c_0_22,plain,
    ( aSet0(X3)
    | ~ aElement0(X1)
    | ~ aSet0(X2)
    | X3 != sdtmndt0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_23,hypothesis,
    xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
    inference(split_conjunct,[status(thm)],[m__5585]) ).

cnf(c_0_24,hypothesis,
    ( sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,hypothesis,
    sdtlpdtrp0(xe,xn) = xp,
    inference(split_conjunct,[status(thm)],[m__5309]) ).

cnf(c_0_26,hypothesis,
    aElementOf0(xn,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__5309]) ).

cnf(c_0_27,plain,
    ( aElement0(X1)
    | ~ aElementOf0(X1,X2)
    | ~ aSet0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_28,hypothesis,
    aElementOf0(xp,xO),
    inference(split_conjunct,[status(thm)],[m__5182]) ).

cnf(c_0_29,hypothesis,
    aSet0(xO),
    inference(split_conjunct,[status(thm)],[m__4891]) ).

fof(c_0_30,plain,
    ! [X4,X5,X6,X5] :
      ( ( aSet0(X5)
        | ~ aSubsetOf0(X5,X4)
        | ~ aSet0(X4) )
      & ( ~ aElementOf0(X6,X5)
        | aElementOf0(X6,X4)
        | ~ aSubsetOf0(X5,X4)
        | ~ aSet0(X4) )
      & ( aElementOf0(esk2_2(X4,X5),X5)
        | ~ aSet0(X5)
        | aSubsetOf0(X5,X4)
        | ~ aSet0(X4) )
      & ( ~ aElementOf0(esk2_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_31,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(esk11_3(X5,X6,X7),X7)
        | ~ aSubsetOf0(esk11_3(X5,X6,X7),X5)
        | sbrdtbr0(esk11_3(X5,X6,X7)) != X6
        | ~ aSet0(X7)
        | X7 = slbdtsldtrb0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElementOf0(X6,szNzAzT0) )
      & ( aSubsetOf0(esk11_3(X5,X6,X7),X5)
        | aElementOf0(esk11_3(X5,X6,X7),X7)
        | ~ aSet0(X7)
        | X7 = slbdtsldtrb0(X5,X6)
        | ~ aSet0(X5)
        | ~ aElementOf0(X6,szNzAzT0) )
      & ( sbrdtbr0(esk11_3(X5,X6,X7)) = X6
        | aElementOf0(esk11_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])])])])])])]) ).

fof(c_0_32,plain,
    ! [X4,X5,X6] :
      ( ~ aSet0(X4)
      | ~ aSet0(X5)
      | ~ aSet0(X6)
      | ~ aSubsetOf0(X4,X5)
      | ~ aSubsetOf0(X5,X6)
      | aSubsetOf0(X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])]) ).

cnf(c_0_33,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_34,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_35,hypothesis,
    ( isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_36,plain,
    ( aSet0(sdtmndt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aSet0(X1) ),
    inference(er,[status(thm)],[c_0_22]) ).

cnf(c_0_37,hypothesis,
    sdtmndt0(sdtlpdtrp0(xN,xn),xp) = xD,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]) ).

cnf(c_0_38,hypothesis,
    aElement0(xp),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).

cnf(c_0_39,plain,
    ( aSet0(X2)
    | ~ aSet0(X1)
    | ~ aSubsetOf0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_40,plain,
    aSet0(szNzAzT0),
    inference(split_conjunct,[status(thm)],[mNATSet]) ).

fof(c_0_41,negated_conjecture,
    ~ aElementOf0(xP,slbdtsldtrb0(xD,xk)),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_42,plain,
    ( aElementOf0(X4,X3)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aSet0(X2)
    | X3 != slbdtsldtrb0(X2,X1)
    | sbrdtbr0(X4) != X1
    | ~ aSubsetOf0(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_43,plain,
    ( aSubsetOf0(X1,X2)
    | ~ aSubsetOf0(X3,X2)
    | ~ aSubsetOf0(X1,X3)
    | ~ aSet0(X2)
    | ~ aSet0(X3)
    | ~ aSet0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_44,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).

cnf(c_0_45,hypothesis,
    ( aSet0(xD)
    | ~ aSet0(sdtlpdtrp0(xN,xn)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).

cnf(c_0_46,hypothesis,
    ( aSet0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_34]),c_0_40])]) ).

fof(c_0_47,negated_conjecture,
    ~ aElementOf0(xP,slbdtsldtrb0(xD,xk)),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

cnf(c_0_48,plain,
    ( aElementOf0(X1,slbdtsldtrb0(X2,X3))
    | sbrdtbr0(X1) != X3
    | ~ aSubsetOf0(X1,X2)
    | ~ aElementOf0(X3,szNzAzT0)
    | ~ aSet0(X2) ),
    inference(er,[status(thm)],[c_0_42]) ).

cnf(c_0_49,hypothesis,
    sbrdtbr0(xP) = xk,
    inference(split_conjunct,[status(thm)],[m__5217]) ).

cnf(c_0_50,plain,
    ( aSubsetOf0(X1,X2)
    | ~ aSubsetOf0(X3,X2)
    | ~ aSubsetOf0(X1,X3)
    | ~ aSet0(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_43,c_0_39]),c_0_39]) ).

cnf(c_0_51,hypothesis,
    aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),xD),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_23]),c_0_26])]) ).

cnf(c_0_52,hypothesis,
    aSet0(xD),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_26])]) ).

cnf(c_0_53,negated_conjecture,
    ~ aElementOf0(xP,slbdtsldtrb0(xD,xk)),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_54,hypothesis,
    ( aElementOf0(xP,slbdtsldtrb0(X1,X2))
    | xk != X2
    | ~ aSubsetOf0(xP,X1)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aSet0(X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_55,hypothesis,
    aElementOf0(xk,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__3533]) ).

cnf(c_0_56,hypothesis,
    ( aSubsetOf0(X1,xD)
    | ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).

cnf(c_0_57,hypothesis,
    aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
    inference(split_conjunct,[status(thm)],[m__5334]) ).

cnf(c_0_58,negated_conjecture,
    ~ aSubsetOf0(xP,xD),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_52])]) ).

cnf(c_0_59,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM629+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : run_ET %s %d
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Wed Jul  6 23:27:58 EDT 2022
% 0.19/0.34  % CPUTime  : 
% 0.23/1.42  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.23/1.42  # Preprocessing time       : 0.027 s
% 0.23/1.42  
% 0.23/1.42  # Proof found!
% 0.23/1.42  # SZS status Theorem
% 0.23/1.42  # SZS output start CNFRefutation
% See solution above
% 0.23/1.42  # Proof object total steps             : 60
% 0.23/1.42  # Proof object clause steps            : 33
% 0.23/1.42  # Proof object formula steps           : 27
% 0.23/1.42  # Proof object conjectures             : 5
% 0.23/1.42  # Proof object clause conjectures      : 2
% 0.23/1.42  # Proof object formula conjectures     : 3
% 0.23/1.42  # Proof object initial clauses used    : 19
% 0.23/1.42  # Proof object initial formulas used   : 17
% 0.23/1.42  # Proof object generating inferences   : 12
% 0.23/1.42  # Proof object simplifying inferences  : 23
% 0.23/1.42  # Training examples: 0 positive, 0 negative
% 0.23/1.42  # Parsed axioms                        : 115
% 0.23/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.23/1.42  # Initial clauses                      : 221
% 0.23/1.42  # Removed in clause preprocessing      : 7
% 0.23/1.42  # Initial clauses in saturation        : 214
% 0.23/1.42  # Processed clauses                    : 5425
% 0.23/1.42  # ...of these trivial                  : 102
% 0.23/1.42  # ...subsumed                          : 2865
% 0.23/1.42  # ...remaining for further processing  : 2458
% 0.23/1.42  # Other redundant clauses eliminated   : 23
% 0.23/1.42  # Clauses deleted for lack of memory   : 0
% 0.23/1.42  # Backward-subsumed                    : 189
% 0.23/1.42  # Backward-rewritten                   : 25
% 0.23/1.42  # Generated clauses                    : 30822
% 0.23/1.42  # ...of the previous two non-trivial   : 29263
% 0.23/1.42  # Contextual simplify-reflections      : 1978
% 0.23/1.42  # Paramodulations                      : 30615
% 0.23/1.42  # Factorizations                       : 0
% 0.23/1.42  # Equation resolutions                 : 194
% 0.23/1.42  # Current number of processed clauses  : 2228
% 0.23/1.42  #    Positive orientable unit clauses  : 163
% 0.23/1.42  #    Positive unorientable unit clauses: 0
% 0.23/1.42  #    Negative unit clauses             : 105
% 0.23/1.42  #    Non-unit-clauses                  : 1960
% 0.23/1.42  # Current number of unprocessed clauses: 23161
% 0.23/1.42  # ...number of literals in the above   : 150943
% 0.23/1.42  # Current number of archived formulas  : 0
% 0.23/1.42  # Current number of archived clauses   : 227
% 0.23/1.42  # Clause-clause subsumption calls (NU) : 582761
% 0.23/1.42  # Rec. Clause-clause subsumption calls : 120642
% 0.23/1.42  # Non-unit clause-clause subsumptions  : 3375
% 0.23/1.42  # Unit Clause-clause subsumption calls : 20372
% 0.23/1.42  # Rewrite failures with RHS unbound    : 0
% 0.23/1.42  # BW rewrite match attempts            : 25
% 0.23/1.42  # BW rewrite match successes           : 22
% 0.23/1.42  # Condensation attempts                : 0
% 0.23/1.42  # Condensation successes               : 0
% 0.23/1.42  # Termbank termtop insertions          : 719483
% 0.23/1.42  
% 0.23/1.42  # -------------------------------------------------
% 0.23/1.42  # User time                : 0.824 s
% 0.23/1.42  # System time              : 0.022 s
% 0.23/1.42  # Total time               : 0.846 s
% 0.23/1.42  # Maximum resident set size: 34308 pages
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.42  eprover: CPU time limit exceeded, terminating
% 0.23/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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.mepo_128.in
% 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
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------