TSTP Solution File: NUM575+3 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : NUM575+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n005.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  : 300s
% DateTime : Thu Aug 31 10:38:53 EDT 2023

% Result   : Theorem 29.28s 29.46s
% Output   : CNFRefutation 29.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   73
% Syntax   : Number of formulae    :  128 (  18 unt;  65 typ;   0 def)
%            Number of atoms       :  406 (  26 equ)
%            Maximal formula atoms :  181 (   6 avg)
%            Number of connectives :  570 ( 227   ~; 233   |;  86   &)
%                                         (   2 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   45 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  110 (  54   >;  56   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :   56 (  56 usr;  11 con; 0-4 aty)
%            Number of variables   :   76 (   0 sgn;  47   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    aSet0: $i > $o ).

tff(decl_23,type,
    aElement0: $i > $o ).

tff(decl_24,type,
    aElementOf0: ( $i * $i ) > $o ).

tff(decl_25,type,
    isFinite0: $i > $o ).

tff(decl_26,type,
    slcrc0: $i ).

tff(decl_27,type,
    isCountable0: $i > $o ).

tff(decl_28,type,
    aSubsetOf0: ( $i * $i ) > $o ).

tff(decl_29,type,
    sdtpldt0: ( $i * $i ) > $i ).

tff(decl_30,type,
    sdtmndt0: ( $i * $i ) > $i ).

tff(decl_31,type,
    szNzAzT0: $i ).

tff(decl_32,type,
    sz00: $i ).

tff(decl_33,type,
    szszuzczcdt0: $i > $i ).

tff(decl_34,type,
    sdtlseqdt0: ( $i * $i ) > $o ).

tff(decl_35,type,
    iLess0: ( $i * $i ) > $o ).

tff(decl_36,type,
    sbrdtbr0: $i > $i ).

tff(decl_37,type,
    szmzizndt0: $i > $i ).

tff(decl_38,type,
    szmzazxdt0: $i > $i ).

tff(decl_39,type,
    slbdtrb0: $i > $i ).

tff(decl_40,type,
    slbdtsldtrb0: ( $i * $i ) > $i ).

tff(decl_41,type,
    aFunction0: $i > $o ).

tff(decl_42,type,
    szDzozmdt0: $i > $i ).

tff(decl_43,type,
    sdtlpdtrp0: ( $i * $i ) > $i ).

tff(decl_44,type,
    sdtlbdtrb0: ( $i * $i ) > $i ).

tff(decl_45,type,
    sdtlcdtrc0: ( $i * $i ) > $i ).

tff(decl_46,type,
    sdtexdt0: ( $i * $i ) > $i ).

tff(decl_47,type,
    szDzizrdt0: $i > $i ).

tff(decl_48,type,
    xT: $i ).

tff(decl_49,type,
    xK: $i ).

tff(decl_50,type,
    xS: $i ).

tff(decl_51,type,
    xc: $i ).

tff(decl_52,type,
    xk: $i ).

tff(decl_53,type,
    xN: $i ).

tff(decl_54,type,
    esk1_1: $i > $i ).

tff(decl_55,type,
    esk2_2: ( $i * $i ) > $i ).

tff(decl_56,type,
    esk3_3: ( $i * $i * $i ) > $i ).

tff(decl_57,type,
    esk4_3: ( $i * $i * $i ) > $i ).

tff(decl_58,type,
    esk5_1: $i > $i ).

tff(decl_59,type,
    esk6_2: ( $i * $i ) > $i ).

tff(decl_60,type,
    esk7_2: ( $i * $i ) > $i ).

tff(decl_61,type,
    esk8_2: ( $i * $i ) > $i ).

tff(decl_62,type,
    esk9_2: ( $i * $i ) > $i ).

tff(decl_63,type,
    esk10_1: $i > $i ).

tff(decl_64,type,
    esk11_3: ( $i * $i * $i ) > $i ).

tff(decl_65,type,
    esk12_3: ( $i * $i * $i ) > $i ).

tff(decl_66,type,
    esk13_3: ( $i * $i * $i ) > $i ).

tff(decl_67,type,
    esk14_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_68,type,
    esk15_3: ( $i * $i * $i ) > $i ).

tff(decl_69,type,
    esk16_3: ( $i * $i * $i ) > $i ).

tff(decl_70,type,
    esk17_3: ( $i * $i * $i ) > $i ).

tff(decl_71,type,
    esk18_2: ( $i * $i ) > $i ).

tff(decl_72,type,
    esk19_2: ( $i * $i ) > $i ).

tff(decl_73,type,
    esk20_1: $i > $i ).

tff(decl_74,type,
    esk21_1: $i > $i ).

tff(decl_75,type,
    esk22_2: ( $i * $i ) > $i ).

tff(decl_76,type,
    esk23_3: ( $i * $i * $i ) > $i ).

tff(decl_77,type,
    esk24_3: ( $i * $i * $i ) > $i ).

tff(decl_78,type,
    esk25_3: ( $i * $i * $i ) > $i ).

tff(decl_79,type,
    esk26_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_80,type,
    esk27_3: ( $i * $i * $i ) > $i ).

tff(decl_81,type,
    esk28_3: ( $i * $i * $i ) > $i ).

tff(decl_82,type,
    esk29_3: ( $i * $i * $i ) > $i ).

tff(decl_83,type,
    esk30_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_84,type,
    esk31_1: $i > $i ).

tff(decl_85,type,
    esk32_0: $i ).

tff(decl_86,type,
    esk33_0: $i ).

fof(m__,conjecture,
    ! [X1,X2] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X2,szNzAzT0)
        & X1 != X2 )
     => ~ ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
          & ! [X3] :
              ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
             => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
          & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X2))
          & ! [X3] :
              ( aElementOf0(X3,sdtlpdtrp0(xN,X2))
             => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
          & szmzizndt0(sdtlpdtrp0(xN,X1)) = szmzizndt0(sdtlpdtrp0(xN,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

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

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

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

fof(m__3623,hypothesis,
    ( aFunction0(xN)
    & szDzozmdt0(xN) = szNzAzT0
    & sdtlpdtrp0(xN,sz00) = xS
    & ! [X1] :
        ( aElementOf0(X1,szNzAzT0)
       => ( ( ( ( aSet0(sdtlpdtrp0(xN,X1))
                & ! [X2] :
                    ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
                   => aElementOf0(X2,szNzAzT0) ) )
              | aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) )
            & isCountable0(sdtlpdtrp0(xN,X1)) )
         => ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
            & ! [X2] :
                ( aElementOf0(X2,sdtlpdtrp0(xN,X1))
               => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
            & aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
            & ! [X2] :
                ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
              <=> ( aElement0(X2)
                  & aElementOf0(X2,sdtlpdtrp0(xN,X1))
                  & X2 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
            & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
            & ! [X2] :
                ( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
               => aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
            & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
            & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).

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

fof(mDefSub,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ! [X2] :
          ( aSubsetOf0(X2,X1)
        <=> ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
               => aElementOf0(X3,X1) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).

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

fof(c_0_8,negated_conjecture,
    ~ ! [X1,X2] :
        ( ( aElementOf0(X1,szNzAzT0)
          & aElementOf0(X2,szNzAzT0)
          & X1 != X2 )
       => ~ ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
            & ! [X3] :
                ( aElementOf0(X3,sdtlpdtrp0(xN,X1))
               => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
            & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X2))
            & ! [X3] :
                ( aElementOf0(X3,sdtlpdtrp0(xN,X2))
               => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
            & szmzizndt0(sdtlpdtrp0(xN,X1)) = szmzizndt0(sdtlpdtrp0(xN,X2)) ) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_9,plain,
    ! [X55] :
      ( ( aElementOf0(szszuzczcdt0(X55),szNzAzT0)
        | ~ aElementOf0(X55,szNzAzT0) )
      & ( szszuzczcdt0(X55) != sz00
        | ~ aElementOf0(X55,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).

fof(c_0_10,negated_conjecture,
    ! [X210,X211] :
      ( aElementOf0(esk32_0,szNzAzT0)
      & aElementOf0(esk33_0,szNzAzT0)
      & esk32_0 != esk33_0
      & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,esk32_0))
      & ( ~ aElementOf0(X210,sdtlpdtrp0(xN,esk32_0))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),X210) )
      & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,esk33_0))
      & ( ~ aElementOf0(X211,sdtlpdtrp0(xN,esk33_0))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),X211) )
      & szmzizndt0(sdtlpdtrp0(xN,esk32_0)) = szmzizndt0(sdtlpdtrp0(xN,esk33_0)) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).

fof(c_0_11,hypothesis,
    ! [X205,X206,X207] :
      ( ( ~ aElementOf0(X207,sdtlpdtrp0(xN,X205))
        | aElementOf0(X207,sdtlpdtrp0(xN,X206))
        | ~ sdtlseqdt0(X206,X205)
        | ~ aElementOf0(X205,szNzAzT0)
        | ~ aElementOf0(X206,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,X205),sdtlpdtrp0(xN,X206))
        | ~ sdtlseqdt0(X206,X205)
        | ~ aElementOf0(X205,szNzAzT0)
        | ~ aElementOf0(X206,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3754])])])]) ).

cnf(c_0_12,plain,
    ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    aElementOf0(esk33_0,szNzAzT0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_14,plain,
    ! [X72,X73] :
      ( ~ aElementOf0(X72,szNzAzT0)
      | ~ aElementOf0(X73,szNzAzT0)
      | sdtlseqdt0(X72,X73)
      | sdtlseqdt0(szszuzczcdt0(X73),X72) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).

cnf(c_0_15,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
    | ~ sdtlseqdt0(X2,X1)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,negated_conjecture,
    aElementOf0(szszuzczcdt0(esk33_0),szNzAzT0),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(szszuzczcdt0(X2),X1)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_18,hypothesis,
    ! [X197,X199,X200,X201,X202] :
      ( aFunction0(xN)
      & szDzozmdt0(xN) = szNzAzT0
      & sdtlpdtrp0(xN,sz00) = xS
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X197)),sdtlpdtrp0(xN,X197))
        | aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
        | ~ aSet0(sdtlpdtrp0(xN,X197))
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( ~ aElementOf0(X199,sdtlpdtrp0(xN,X197))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X197)),X199)
        | aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
        | ~ aSet0(sdtlpdtrp0(xN,X197))
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
        | aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
        | ~ aSet0(sdtlpdtrp0(xN,X197))
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( aElement0(X200)
        | ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
        | aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
        | ~ aSet0(sdtlpdtrp0(xN,X197))
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( aElementOf0(X200,sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
        | aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
        | ~ aSet0(sdtlpdtrp0(xN,X197))
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( X200 != szmzizndt0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
        | aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
        | ~ aSet0(sdtlpdtrp0(xN,X197))
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( ~ aElement0(X201)
        | ~ aElementOf0(X201,sdtlpdtrp0(xN,X197))
        | X201 = szmzizndt0(sdtlpdtrp0(xN,X197))
        | aElementOf0(X201,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
        | aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
        | ~ aSet0(sdtlpdtrp0(xN,X197))
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X197)))
        | aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
        | ~ aSet0(sdtlpdtrp0(xN,X197))
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( ~ aElementOf0(X202,sdtlpdtrp0(xN,szszuzczcdt0(X197)))
        | aElementOf0(X202,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
        | aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
        | ~ aSet0(sdtlpdtrp0(xN,X197))
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X197)),sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
        | aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
        | ~ aSet0(sdtlpdtrp0(xN,X197))
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X197)))
        | aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
        | ~ aSet0(sdtlpdtrp0(xN,X197))
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X197)),sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(esk31_1(X197),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X197))
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( ~ aElementOf0(X199,sdtlpdtrp0(xN,X197))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X197)),X199)
        | ~ aElementOf0(esk31_1(X197),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X197))
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
        | ~ aElementOf0(esk31_1(X197),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X197))
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( aElement0(X200)
        | ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
        | ~ aElementOf0(esk31_1(X197),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X197))
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( aElementOf0(X200,sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
        | ~ aElementOf0(esk31_1(X197),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X197))
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( X200 != szmzizndt0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
        | ~ aElementOf0(esk31_1(X197),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X197))
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( ~ aElement0(X201)
        | ~ aElementOf0(X201,sdtlpdtrp0(xN,X197))
        | X201 = szmzizndt0(sdtlpdtrp0(xN,X197))
        | aElementOf0(X201,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
        | ~ aElementOf0(esk31_1(X197),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X197))
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X197)))
        | ~ aElementOf0(esk31_1(X197),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X197))
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( ~ aElementOf0(X202,sdtlpdtrp0(xN,szszuzczcdt0(X197)))
        | aElementOf0(X202,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
        | ~ aElementOf0(esk31_1(X197),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X197))
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X197)),sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
        | ~ aElementOf0(esk31_1(X197),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X197))
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X197)))
        | ~ aElementOf0(esk31_1(X197),szNzAzT0)
        | ~ aSet0(sdtlpdtrp0(xN,X197))
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X197)),sdtlpdtrp0(xN,X197))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( ~ aElementOf0(X199,sdtlpdtrp0(xN,X197))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X197)),X199)
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( aElement0(X200)
        | ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( aElementOf0(X200,sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( X200 != szmzizndt0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( ~ aElement0(X201)
        | ~ aElementOf0(X201,sdtlpdtrp0(xN,X197))
        | X201 = szmzizndt0(sdtlpdtrp0(xN,X197))
        | aElementOf0(X201,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X197)))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( ~ aElementOf0(X202,sdtlpdtrp0(xN,szszuzczcdt0(X197)))
        | aElementOf0(X202,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X197)),sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X197)))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X197))
        | ~ aElementOf0(X197,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3623])])])])])]) ).

fof(c_0_19,hypothesis,
    ! [X203,X204] :
      ( ( aSet0(sdtlpdtrp0(xN,X203))
        | ~ aElementOf0(X203,szNzAzT0) )
      & ( ~ aElementOf0(X204,sdtlpdtrp0(xN,X203))
        | aElementOf0(X204,szNzAzT0)
        | ~ aElementOf0(X203,szNzAzT0) )
      & ( aSubsetOf0(sdtlpdtrp0(xN,X203),szNzAzT0)
        | ~ aElementOf0(X203,szNzAzT0) )
      & ( isCountable0(sdtlpdtrp0(xN,X203))
        | ~ aElementOf0(X203,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])])]) ).

fof(c_0_20,plain,
    ! [X16,X17,X18,X19] :
      ( ( aSet0(X17)
        | ~ aSubsetOf0(X17,X16)
        | ~ aSet0(X16) )
      & ( ~ aElementOf0(X18,X17)
        | aElementOf0(X18,X16)
        | ~ aSubsetOf0(X17,X16)
        | ~ aSet0(X16) )
      & ( aElementOf0(esk2_2(X16,X19),X19)
        | ~ aSet0(X19)
        | aSubsetOf0(X19,X16)
        | ~ aSet0(X16) )
      & ( ~ aElementOf0(esk2_2(X16,X19),X16)
        | ~ aSet0(X19)
        | aSubsetOf0(X19,X16)
        | ~ aSet0(X16) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSub])])])])])]) ).

cnf(c_0_21,negated_conjecture,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,szszuzczcdt0(esk33_0)))
    | ~ sdtlseqdt0(szszuzczcdt0(esk33_0),X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_22,negated_conjecture,
    aElementOf0(esk32_0,szNzAzT0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_23,negated_conjecture,
    ( sdtlseqdt0(szszuzczcdt0(esk33_0),X1)
    | sdtlseqdt0(X1,esk33_0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_17,c_0_13]) ).

fof(c_0_24,plain,
    ! [X67,X68] :
      ( ~ aElementOf0(X67,szNzAzT0)
      | ~ aElementOf0(X68,szNzAzT0)
      | ~ sdtlseqdt0(X67,X68)
      | ~ sdtlseqdt0(X68,X67)
      | X67 = X68 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).

cnf(c_0_25,hypothesis,
    ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X2)))
    | ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
    | ~ isCountable0(sdtlpdtrp0(xN,X2))
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_26,hypothesis,
    ( isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_27,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_28,plain,
    ( aElementOf0(X1,X3)
    | ~ aElementOf0(X1,X2)
    | ~ aSubsetOf0(X2,X3)
    | ~ aSet0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_29,negated_conjecture,
    aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,esk32_0)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_30,negated_conjecture,
    ( aSubsetOf0(sdtlpdtrp0(xN,esk32_0),sdtlpdtrp0(xN,szszuzczcdt0(esk33_0)))
    | ~ sdtlseqdt0(szszuzczcdt0(esk33_0),esk32_0) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_31,negated_conjecture,
    ( sdtlseqdt0(szszuzczcdt0(esk33_0),esk32_0)
    | sdtlseqdt0(esk32_0,esk33_0) ),
    inference(spm,[status(thm)],[c_0_23,c_0_22]) ).

cnf(c_0_32,hypothesis,
    ( aSet0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_33,hypothesis,
    ( X1 != szmzizndt0(sdtlpdtrp0(xN,X2))
    | ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
    | ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
    | ~ isCountable0(sdtlpdtrp0(xN,X2))
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_34,plain,
    ( X1 = X2
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_35,hypothesis,
    ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X2)))
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).

cnf(c_0_36,negated_conjecture,
    szmzizndt0(sdtlpdtrp0(xN,esk32_0)) = szmzizndt0(sdtlpdtrp0(xN,esk33_0)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_37,negated_conjecture,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),X1)
    | ~ aSubsetOf0(sdtlpdtrp0(xN,esk32_0),X1)
    | ~ aSet0(X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_38,negated_conjecture,
    ( sdtlseqdt0(esk32_0,esk33_0)
    | aSubsetOf0(sdtlpdtrp0(xN,esk32_0),sdtlpdtrp0(xN,szszuzczcdt0(esk33_0))) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_39,hypothesis,
    aSet0(sdtlpdtrp0(xN,szszuzczcdt0(esk33_0))),
    inference(spm,[status(thm)],[c_0_32,c_0_16]) ).

cnf(c_0_40,hypothesis,
    ( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(er,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_33,c_0_26]),c_0_27])]) ).

cnf(c_0_41,negated_conjecture,
    ( X1 = esk33_0
    | ~ sdtlseqdt0(esk33_0,X1)
    | ~ sdtlseqdt0(X1,esk33_0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_34,c_0_13]) ).

cnf(c_0_42,negated_conjecture,
    esk32_0 != esk33_0,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_43,negated_conjecture,
    ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0))))
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(esk33_0))) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_13]),c_0_36]) ).

cnf(c_0_44,negated_conjecture,
    ( sdtlseqdt0(esk32_0,esk33_0)
    | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,szszuzczcdt0(esk33_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).

cnf(c_0_45,negated_conjecture,
    ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_13]),c_0_36]),c_0_36]) ).

cnf(c_0_46,negated_conjecture,
    aElementOf0(szszuzczcdt0(esk32_0),szNzAzT0),
    inference(spm,[status(thm)],[c_0_12,c_0_22]) ).

cnf(c_0_47,negated_conjecture,
    ( sdtlseqdt0(szszuzczcdt0(esk32_0),X1)
    | sdtlseqdt0(X1,esk32_0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_17,c_0_22]) ).

cnf(c_0_48,negated_conjecture,
    ( ~ sdtlseqdt0(esk33_0,esk32_0)
    | ~ sdtlseqdt0(esk32_0,esk33_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_22]),c_0_42]) ).

cnf(c_0_49,negated_conjecture,
    sdtlseqdt0(esk32_0,esk33_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).

cnf(c_0_50,negated_conjecture,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,szszuzczcdt0(esk32_0)))
    | ~ sdtlseqdt0(szszuzczcdt0(esk32_0),X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_15,c_0_46]) ).

cnf(c_0_51,negated_conjecture,
    ( sdtlseqdt0(szszuzczcdt0(esk32_0),esk33_0)
    | sdtlseqdt0(esk33_0,esk32_0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_13]) ).

cnf(c_0_52,negated_conjecture,
    ~ sdtlseqdt0(esk33_0,esk32_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49])]) ).

cnf(c_0_53,negated_conjecture,
    aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,esk33_0)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_54,negated_conjecture,
    ( aSubsetOf0(sdtlpdtrp0(xN,esk33_0),sdtlpdtrp0(xN,szszuzczcdt0(esk32_0)))
    | ~ sdtlseqdt0(szszuzczcdt0(esk32_0),esk33_0) ),
    inference(spm,[status(thm)],[c_0_50,c_0_13]) ).

cnf(c_0_55,negated_conjecture,
    sdtlseqdt0(szszuzczcdt0(esk32_0),esk33_0),
    inference(sr,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_56,negated_conjecture,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),X1)
    | ~ aSubsetOf0(sdtlpdtrp0(xN,esk33_0),X1)
    | ~ aSet0(X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_53]) ).

cnf(c_0_57,negated_conjecture,
    aSubsetOf0(sdtlpdtrp0(xN,esk33_0),sdtlpdtrp0(xN,szszuzczcdt0(esk32_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55])]) ).

cnf(c_0_58,hypothesis,
    aSet0(sdtlpdtrp0(xN,szszuzczcdt0(esk32_0))),
    inference(spm,[status(thm)],[c_0_32,c_0_46]) ).

cnf(c_0_59,negated_conjecture,
    ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0))))
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(esk32_0))) ),
    inference(spm,[status(thm)],[c_0_35,c_0_22]) ).

cnf(c_0_60,negated_conjecture,
    aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,szszuzczcdt0(esk32_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).

cnf(c_0_61,negated_conjecture,
    ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0)))),
    inference(spm,[status(thm)],[c_0_40,c_0_22]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : NUM575+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n005.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    : 300
% 0.13/0.34  % DateTime   : Fri Aug 25 12:42:38 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.18/0.55  start to proof: theBenchmark
% 29.28/29.46  % Version  : CSE_E---1.5
% 29.28/29.46  % Problem  : theBenchmark.p
% 29.28/29.46  % Proof found
% 29.28/29.46  % SZS status Theorem for theBenchmark.p
% 29.28/29.46  % SZS output start Proof
% See solution above
% 29.28/29.47  % Total time : 28.905000 s
% 29.28/29.47  % SZS output end Proof
% 29.28/29.47  % Total time : 28.914000 s
%------------------------------------------------------------------------------