TSTP Solution File: NUM601+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM601+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n016.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 09:34:16 EDT 2022

% Result   : Theorem 0.24s 5.42s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   65 (  12 unt;   0 def)
%            Number of atoms       :  223 (  46 equ)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :  260 ( 102   ~; 100   |;  38   &)
%                                         (   5 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;   8 con; 0-2 aty)
%            Number of variables   :   76 (   3 sgn  38   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mCardEmpty,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ( sbrdtbr0(X1) = sz00
      <=> X1 = slcrc0 ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mCardEmpty) ).

fof(mDefEmp,axiom,
    ! [X1] :
      ( X1 = slcrc0
    <=> ( aSet0(X1)
        & ~ ? [X2] : aElementOf0(X2,X1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDefEmp) ).

fof(mCardNum,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
      <=> isFinite0(X1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mCardNum) ).

fof(mCountNFin,axiom,
    ! [X1] :
      ( ( aSet0(X1)
        & isCountable0(X1) )
     => ~ isFinite0(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mCountNFin) ).

fof(mZeroNum,axiom,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mZeroNum) ).

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

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(mZeroLess,axiom,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => sdtlseqdt0(sz00,X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mZeroLess) ).

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(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__3435,hypothesis,
    ( aSubsetOf0(xS,szNzAzT0)
    & isCountable0(xS) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__3435) ).

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

fof(mDefMin,axiom,
    ! [X1] :
      ( ( aSubsetOf0(X1,szNzAzT0)
        & X1 != slcrc0 )
     => ! [X2] :
          ( X2 = szmzizndt0(X1)
        <=> ( aElementOf0(X2,X1)
            & ! [X3] :
                ( aElementOf0(X3,X1)
               => sdtlseqdt0(X2,X3) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',mDefMin) ).

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(m__4982,hypothesis,
    ! [X1] :
      ( aElementOf0(X1,xO)
     => ? [X2] :
          ( aElementOf0(X2,szNzAzT0)
          & aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & sdtlpdtrp0(xe,X2) = X1 ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__4982) ).

fof(m__,conjecture,
    aSubsetOf0(xO,xS),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',m__) ).

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(c_0_17,plain,
    ! [X2] :
      ( ( sbrdtbr0(X2) != sz00
        | X2 = slcrc0
        | ~ aSet0(X2) )
      & ( X2 != slcrc0
        | sbrdtbr0(X2) = sz00
        | ~ aSet0(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardEmpty])])]) ).

fof(c_0_18,plain,
    ! [X3,X4,X3] :
      ( ( aSet0(X3)
        | X3 != slcrc0 )
      & ( ~ aElementOf0(X4,X3)
        | X3 != slcrc0 )
      & ( ~ aSet0(X3)
        | aElementOf0(esk1_1(X3),X3)
        | X3 = slcrc0 ) ),
    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)],[mDefEmp])])])])])])]) ).

fof(c_0_19,plain,
    ! [X2] :
      ( ( ~ aElementOf0(sbrdtbr0(X2),szNzAzT0)
        | isFinite0(X2)
        | ~ aSet0(X2) )
      & ( ~ isFinite0(X2)
        | aElementOf0(sbrdtbr0(X2),szNzAzT0)
        | ~ aSet0(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])]) ).

cnf(c_0_20,plain,
    ( sbrdtbr0(X1) = sz00
    | ~ aSet0(X1)
    | X1 != slcrc0 ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_21,plain,
    ( aSet0(X1)
    | X1 != slcrc0 ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_22,plain,
    ! [X2] :
      ( ~ aSet0(X2)
      | ~ isCountable0(X2)
      | ~ isFinite0(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mCountNFin])])]) ).

cnf(c_0_23,plain,
    ( isFinite0(X1)
    | ~ aSet0(X1)
    | ~ aElementOf0(sbrdtbr0(X1),szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_24,plain,
    ( sbrdtbr0(X1) = sz00
    | X1 != slcrc0 ),
    inference(csr,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_25,plain,
    aElementOf0(sz00,szNzAzT0),
    inference(split_conjunct,[status(thm)],[mZeroNum]) ).

fof(c_0_26,hypothesis,
    ! [X3,X4] :
      ( ~ aElementOf0(X3,szNzAzT0)
      | ~ aElementOf0(X4,szNzAzT0)
      | ~ sdtlseqdt0(X4,X3)
      | aSubsetOf0(sdtlpdtrp0(xN,X3),sdtlpdtrp0(xN,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3754])]) ).

fof(c_0_27,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_28,plain,
    ! [X2] :
      ( ~ aElementOf0(X2,szNzAzT0)
      | sdtlseqdt0(sz00,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])]) ).

fof(c_0_29,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])])])])])])]) ).

cnf(c_0_30,plain,
    ( ~ isFinite0(X1)
    | ~ isCountable0(X1)
    | ~ aSet0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_31,plain,
    ( isFinite0(X1)
    | X1 != slcrc0 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]),c_0_21]) ).

fof(c_0_32,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_33,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
    | ~ sdtlseqdt0(X2,X1)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_34,hypothesis,
    sdtlpdtrp0(xN,sz00) = xS,
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_35,plain,
    ( sdtlseqdt0(sz00,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_36,plain,
    ( aSet0(X2)
    | ~ aSet0(X1)
    | ~ aSubsetOf0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_37,hypothesis,
    aSubsetOf0(xS,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__3435]) ).

cnf(c_0_38,plain,
    aSet0(szNzAzT0),
    inference(split_conjunct,[status(thm)],[mNATSet]) ).

fof(c_0_39,plain,
    ! [X4,X5,X6,X5] :
      ( ( aElementOf0(X5,X4)
        | X5 != szmzizndt0(X4)
        | ~ aSubsetOf0(X4,szNzAzT0)
        | X4 = slcrc0 )
      & ( ~ aElementOf0(X6,X4)
        | sdtlseqdt0(X5,X6)
        | X5 != szmzizndt0(X4)
        | ~ aSubsetOf0(X4,szNzAzT0)
        | X4 = slcrc0 )
      & ( aElementOf0(esk7_2(X4,X5),X4)
        | ~ aElementOf0(X5,X4)
        | X5 = szmzizndt0(X4)
        | ~ aSubsetOf0(X4,szNzAzT0)
        | X4 = slcrc0 )
      & ( ~ sdtlseqdt0(X5,esk7_2(X4,X5))
        | ~ aElementOf0(X5,X4)
        | X5 = szmzizndt0(X4)
        | ~ aSubsetOf0(X4,szNzAzT0)
        | X4 = slcrc0 ) ),
    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)],[mDefMin])])])])])])]) ).

fof(c_0_40,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])])])])]) ).

cnf(c_0_41,plain,
    ( X1 != slcrc0
    | ~ isCountable0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_21]) ).

cnf(c_0_42,hypothesis,
    ( isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_43,plain,
    ( aElementOf0(X3,X1)
    | ~ aSet0(X1)
    | ~ aSubsetOf0(X2,X1)
    | ~ aElementOf0(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_44,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),xS)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_25])]),c_0_35]) ).

cnf(c_0_45,hypothesis,
    aSet0(xS),
    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,plain,
    ( X1 = slcrc0
    | aElementOf0(X2,X1)
    | ~ aSubsetOf0(X1,szNzAzT0)
    | X2 != szmzizndt0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_47,hypothesis,
    ( sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_48,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_49,hypothesis,
    ( sdtlpdtrp0(xN,X1) != slcrc0
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_50,hypothesis,
    ( aElementOf0(X1,xS)
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,X2))
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).

cnf(c_0_51,hypothesis,
    ( aElementOf0(X1,sdtlpdtrp0(xN,X2))
    | X1 != sdtlpdtrp0(xe,X2)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_49]) ).

fof(c_0_52,hypothesis,
    ! [X3] :
      ( ( aElementOf0(esk25_1(X3),szNzAzT0)
        | ~ aElementOf0(X3,xO) )
      & ( aElementOf0(esk25_1(X3),sdtlbdtrb0(xd,szDzizrdt0(xd)))
        | ~ aElementOf0(X3,xO) )
      & ( sdtlpdtrp0(xe,esk25_1(X3)) = X3
        | ~ aElementOf0(X3,xO) ) ),
    inference(distribute,[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__4982])])])])])]) ).

cnf(c_0_53,hypothesis,
    ( aElementOf0(X1,xS)
    | X1 != sdtlpdtrp0(xe,X2)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_54,hypothesis,
    ( sdtlpdtrp0(xe,esk25_1(X1)) = X1
    | ~ aElementOf0(X1,xO) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_55,hypothesis,
    ( aElementOf0(esk25_1(X1),szNzAzT0)
    | ~ aElementOf0(X1,xO) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

fof(c_0_56,negated_conjecture,
    ~ aSubsetOf0(xO,xS),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_57,plain,
    ( aSubsetOf0(X2,X1)
    | ~ aSet0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(esk2_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_58,hypothesis,
    ( aElementOf0(X1,xS)
    | ~ aElementOf0(X1,xO) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54])]),c_0_55]) ).

fof(c_0_59,negated_conjecture,
    ~ aSubsetOf0(xO,xS),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

cnf(c_0_60,hypothesis,
    ( aSubsetOf0(X1,xS)
    | ~ aElementOf0(esk2_2(xS,X1),xO)
    | ~ aSet0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_45])]) ).

cnf(c_0_61,plain,
    ( aSubsetOf0(X2,X1)
    | aElementOf0(esk2_2(X1,X2),X2)
    | ~ aSet0(X1)
    | ~ aSet0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_62,hypothesis,
    aSet0(xO),
    inference(split_conjunct,[status(thm)],[m__4891]) ).

cnf(c_0_63,negated_conjecture,
    ~ aSubsetOf0(xO,xS),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_64,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_45])]),c_0_63]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : NUM601+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : run_ET %s %d
% 0.11/0.33  % Computer : n016.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Tue Jul  5 17:42:34 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.24/5.42  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.24/5.42  # Preprocessing time       : 0.026 s
% 0.24/5.42  
% 0.24/5.42  # Proof found!
% 0.24/5.42  # SZS status Theorem
% 0.24/5.42  # SZS output start CNFRefutation
% See solution above
% 0.24/5.43  # Proof object total steps             : 65
% 0.24/5.43  # Proof object clause steps            : 34
% 0.24/5.43  # Proof object formula steps           : 31
% 0.24/5.43  # Proof object conjectures             : 4
% 0.24/5.43  # Proof object clause conjectures      : 1
% 0.24/5.43  # Proof object formula conjectures     : 3
% 0.24/5.43  # Proof object initial clauses used    : 22
% 0.24/5.43  # Proof object initial formulas used   : 17
% 0.24/5.43  # Proof object generating inferences   : 11
% 0.24/5.43  # Proof object simplifying inferences  : 22
% 0.24/5.43  # Training examples: 0 positive, 0 negative
% 0.24/5.43  # Parsed axioms                        : 98
% 0.24/5.43  # Removed by relevancy pruning/SinE    : 0
% 0.24/5.43  # Initial clauses                      : 200
% 0.24/5.43  # Removed in clause preprocessing      : 7
% 0.24/5.43  # Initial clauses in saturation        : 193
% 0.24/5.43  # Processed clauses                    : 16462
% 0.24/5.43  # ...of these trivial                  : 197
% 0.24/5.43  # ...subsumed                          : 10346
% 0.24/5.43  # ...remaining for further processing  : 5919
% 0.24/5.43  # Other redundant clauses eliminated   : 42
% 0.24/5.43  # Clauses deleted for lack of memory   : 59992
% 0.24/5.43  # Backward-subsumed                    : 541
% 0.24/5.43  # Backward-rewritten                   : 125
% 0.24/5.43  # Generated clauses                    : 162040
% 0.24/5.43  # ...of the previous two non-trivial   : 155785
% 0.24/5.43  # Contextual simplify-reflections      : 9139
% 0.24/5.43  # Paramodulations                      : 161293
% 0.24/5.43  # Factorizations                       : 1
% 0.24/5.43  # Equation resolutions                 : 744
% 0.24/5.43  # Current number of processed clauses  : 5248
% 0.24/5.43  #    Positive orientable unit clauses  : 163
% 0.24/5.43  #    Positive unorientable unit clauses: 0
% 0.24/5.43  #    Negative unit clauses             : 82
% 0.24/5.43  #    Non-unit-clauses                  : 5003
% 0.24/5.43  # Current number of unprocessed clauses: 70950
% 0.24/5.43  # ...number of literals in the above   : 487385
% 0.24/5.43  # Current number of archived formulas  : 0
% 0.24/5.43  # Current number of archived clauses   : 668
% 0.24/5.43  # Clause-clause subsumption calls (NU) : 4483686
% 0.24/5.43  # Rec. Clause-clause subsumption calls : 719756
% 0.24/5.43  # Non-unit clause-clause subsumptions  : 15203
% 0.24/5.43  # Unit Clause-clause subsumption calls : 80318
% 0.24/5.43  # Rewrite failures with RHS unbound    : 0
% 0.24/5.43  # BW rewrite match attempts            : 60
% 0.24/5.43  # BW rewrite match successes           : 47
% 0.24/5.43  # Condensation attempts                : 0
% 0.24/5.43  # Condensation successes               : 0
% 0.24/5.43  # Termbank termtop insertions          : 4275792
% 0.24/5.43  
% 0.24/5.43  # -------------------------------------------------
% 0.24/5.43  # User time                : 4.768 s
% 0.24/5.43  # System time              : 0.074 s
% 0.24/5.43  # Total time               : 4.842 s
% 0.24/5.43  # Maximum resident set size: 135016 pages
% 0.24/23.39  eprover: CPU time limit exceeded, terminating
% 0.24/23.40  eprover: CPU time limit exceeded, terminating
% 0.24/23.40  eprover: CPU time limit exceeded, terminating
% 0.24/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.41  eprover: No such file or directory
% 0.24/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.41  eprover: No such file or directory
% 0.24/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.41  eprover: No such file or directory
% 0.24/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.42  eprover: No such file or directory
% 0.24/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42  eprover: No such file or directory
% 0.24/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42  eprover: No such file or directory
% 0.24/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.42  eprover: No such file or directory
% 0.24/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42  eprover: No such file or directory
% 0.24/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42  eprover: No such file or directory
% 0.24/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42  eprover: No such file or directory
% 0.24/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42  eprover: No such file or directory
% 0.24/23.42  eprover: No such file or directory
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46  eprover: No such file or directory
%------------------------------------------------------------------------------