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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : NUM542+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n023.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 : Tue May  5 04:57:45 PM UTC 2026

% Result   : Theorem 17.58s 11.04s
% Output   : CNFRefutation 17.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   69 (   8 unt;   0 def)
%            Number of atoms       :  245 (  34 equ)
%            Maximal formula atoms :   32 (   3 avg)
%            Number of connectives :  302 ( 126   ~; 138   |;  22   &)
%                                         (   5 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   87 (   0 sgn  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
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(mDefSeg,axiom,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => ! [X2] :
          ( X2 = slbdtrb0(X1)
        <=> ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
              <=> ( aElementOf0(X3,szNzAzT0)
                  & sdtlseqdt0(szszuzczcdt0(X3),X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).

fof(m__1964,hypothesis,
    ( aElementOf0(xm,szNzAzT0)
    & aElementOf0(xn,szNzAzT0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1964) ).

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(m__,conjecture,
    ( sdtlseqdt0(xm,xn)
  <=> aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

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

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

fof(mLessTrans,axiom,
    ! [X1,X2,X3] :
      ( ( aElementOf0(X1,szNzAzT0)
        & aElementOf0(X2,szNzAzT0)
        & aElementOf0(X3,szNzAzT0) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X2,X3) )
       => sdtlseqdt0(X1,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTrans) ).

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

fof(c_0_10,plain,
    ! [X160,X161] :
      ( ~ aElementOf0(X160,szNzAzT0)
      | ~ aElementOf0(X161,szNzAzT0)
      | sdtlseqdt0(X160,X161)
      | sdtlseqdt0(szszuzczcdt0(X161),X160) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).

fof(c_0_11,plain,
    ! [X187,X188,X189,X190,X191] :
      ( ( aSet0(X188)
        | X188 != slbdtrb0(X187)
        | ~ aElementOf0(X187,szNzAzT0) )
      & ( aElementOf0(X189,szNzAzT0)
        | ~ aElementOf0(X189,X188)
        | X188 != slbdtrb0(X187)
        | ~ aElementOf0(X187,szNzAzT0) )
      & ( sdtlseqdt0(szszuzczcdt0(X189),X187)
        | ~ aElementOf0(X189,X188)
        | X188 != slbdtrb0(X187)
        | ~ aElementOf0(X187,szNzAzT0) )
      & ( ~ aElementOf0(X190,szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(X190),X187)
        | aElementOf0(X190,X188)
        | X188 != slbdtrb0(X187)
        | ~ aElementOf0(X187,szNzAzT0) )
      & ( ~ aElementOf0(esk9_2(X187,X191),X191)
        | ~ aElementOf0(esk9_2(X187,X191),szNzAzT0)
        | ~ sdtlseqdt0(szszuzczcdt0(esk9_2(X187,X191)),X187)
        | ~ aSet0(X191)
        | X191 = slbdtrb0(X187)
        | ~ aElementOf0(X187,szNzAzT0) )
      & ( aElementOf0(esk9_2(X187,X191),szNzAzT0)
        | aElementOf0(esk9_2(X187,X191),X191)
        | ~ aSet0(X191)
        | X191 = slbdtrb0(X187)
        | ~ aElementOf0(X187,szNzAzT0) )
      & ( sdtlseqdt0(szszuzczcdt0(esk9_2(X187,X191)),X187)
        | aElementOf0(esk9_2(X187,X191),X191)
        | ~ aSet0(X191)
        | X191 = slbdtrb0(X187)
        | ~ aElementOf0(X187,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)],[mDefSeg])])])])])]) ).

cnf(c_0_12,plain,
    ( sdtlseqdt0(X1,X2)
    | sdtlseqdt0(szszuzczcdt0(X2),X1)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_13,hypothesis,
    aElementOf0(xn,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__1964]) ).

fof(c_0_14,plain,
    ! [X155,X156] :
      ( ~ aElementOf0(X155,szNzAzT0)
      | ~ aElementOf0(X156,szNzAzT0)
      | ~ sdtlseqdt0(X155,X156)
      | ~ sdtlseqdt0(X156,X155)
      | X155 = X156 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).

fof(c_0_15,negated_conjecture,
    ~ ( sdtlseqdt0(xm,xn)
    <=> aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_16,plain,
    ( aSet0(X1)
    | X1 != slbdtrb0(X2)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,hypothesis,
    ( sdtlseqdt0(szszuzczcdt0(xn),X1)
    | sdtlseqdt0(X1,xn)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_18,hypothesis,
    aElementOf0(xm,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__1964]) ).

cnf(c_0_19,plain,
    ( X1 = X2
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_20,plain,
    ! [X153] :
      ( ~ aElementOf0(X153,szNzAzT0)
      | sdtlseqdt0(X153,szszuzczcdt0(X153)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessSucc])]) ).

cnf(c_0_21,plain,
    ( sdtlseqdt0(szszuzczcdt0(X1),X2)
    | ~ aElementOf0(X1,X3)
    | X3 != slbdtrb0(X2)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_22,plain,
    ! [X104,X105,X106,X107] :
      ( ( aSet0(X105)
        | ~ aSubsetOf0(X105,X104)
        | ~ aSet0(X104) )
      & ( ~ aElementOf0(X106,X105)
        | aElementOf0(X106,X104)
        | ~ aSubsetOf0(X105,X104)
        | ~ aSet0(X104) )
      & ( aElementOf0(esk2_2(X104,X107),X107)
        | ~ aSet0(X107)
        | aSubsetOf0(X107,X104)
        | ~ aSet0(X104) )
      & ( ~ aElementOf0(esk2_2(X104,X107),X104)
        | ~ aSet0(X107)
        | aSubsetOf0(X107,X104)
        | ~ aSet0(X104) ) ),
    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])])])])])]) ).

fof(c_0_23,negated_conjecture,
    ( ( ~ sdtlseqdt0(xm,xn)
      | ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) )
    & ( sdtlseqdt0(xm,xn)
      | aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ) ),
    inference(fof_nnf,[status(thm)],[c_0_15]) ).

cnf(c_0_24,hypothesis,
    ( aSet0(X1)
    | X1 != slbdtrb0(xn) ),
    inference(spm,[status(thm)],[c_0_16,c_0_13]) ).

cnf(c_0_25,plain,
    ( aElementOf0(X1,X3)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ sdtlseqdt0(szszuzczcdt0(X1),X2)
    | X3 != slbdtrb0(X2)
    | ~ aElementOf0(X2,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_26,hypothesis,
    ( sdtlseqdt0(szszuzczcdt0(xn),xm)
    | sdtlseqdt0(xm,xn) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_27,hypothesis,
    ( X1 = xn
    | ~ sdtlseqdt0(xn,X1)
    | ~ sdtlseqdt0(X1,xn)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_19,c_0_13]) ).

cnf(c_0_28,plain,
    ( sdtlseqdt0(X1,szszuzczcdt0(X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_29,hypothesis,
    ( sdtlseqdt0(szszuzczcdt0(X1),xn)
    | X2 != slbdtrb0(xn)
    | ~ aElementOf0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_21,c_0_13]) ).

cnf(c_0_30,plain,
    ( aElementOf0(X1,X3)
    | ~ aElementOf0(X1,X2)
    | ~ aSubsetOf0(X2,X3)
    | ~ aSet0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_31,negated_conjecture,
    ( sdtlseqdt0(xm,xn)
    | aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_32,hypothesis,
    aSet0(slbdtrb0(xn)),
    inference(er,[status(thm)],[c_0_24]) ).

cnf(c_0_33,hypothesis,
    ( sdtlseqdt0(xm,xn)
    | aElementOf0(xn,X1)
    | X1 != slbdtrb0(xm) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_18]),c_0_13])]) ).

cnf(c_0_34,hypothesis,
    ( szszuzczcdt0(xn) = xn
    | ~ sdtlseqdt0(szszuzczcdt0(xn),xn)
    | ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_13])]) ).

cnf(c_0_35,hypothesis,
    ( sdtlseqdt0(szszuzczcdt0(X1),xn)
    | ~ aElementOf0(X1,slbdtrb0(xn)) ),
    inference(er,[status(thm)],[c_0_29]) ).

cnf(c_0_36,negated_conjecture,
    ( sdtlseqdt0(xm,xn)
    | aElementOf0(X1,slbdtrb0(xn))
    | ~ aElementOf0(X1,slbdtrb0(xm)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).

cnf(c_0_37,hypothesis,
    ( sdtlseqdt0(xm,xn)
    | aElementOf0(xn,slbdtrb0(xm)) ),
    inference(er,[status(thm)],[c_0_33]) ).

cnf(c_0_38,hypothesis,
    ( szszuzczcdt0(xn) = xn
    | ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
    | ~ aElementOf0(xn,slbdtrb0(xn)) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_39,negated_conjecture,
    ( sdtlseqdt0(xm,xn)
    | aElementOf0(xn,slbdtrb0(xn)) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

fof(c_0_40,plain,
    ! [X143] :
      ( ( aElementOf0(szszuzczcdt0(X143),szNzAzT0)
        | ~ aElementOf0(X143,szNzAzT0) )
      & ( szszuzczcdt0(X143) != sz00
        | ~ aElementOf0(X143,szNzAzT0) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).

fof(c_0_41,plain,
    ! [X157,X158,X159] :
      ( ~ aElementOf0(X157,szNzAzT0)
      | ~ aElementOf0(X158,szNzAzT0)
      | ~ aElementOf0(X159,szNzAzT0)
      | ~ sdtlseqdt0(X157,X158)
      | ~ sdtlseqdt0(X158,X159)
      | sdtlseqdt0(X157,X159) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTrans])]) ).

fof(c_0_42,plain,
    ! [X148] :
      ( ~ aElementOf0(X148,szNzAzT0)
      | X148 != szszuzczcdt0(X148) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatNSucc])]) ).

cnf(c_0_43,negated_conjecture,
    ( szszuzczcdt0(xn) = xn
    | sdtlseqdt0(xm,xn)
    | ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_44,plain,
    ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_45,plain,
    ( sdtlseqdt0(X1,X3)
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X3,szNzAzT0)
    | ~ sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_46,plain,
    ( ~ aElementOf0(X1,szNzAzT0)
    | X1 != szszuzczcdt0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_47,negated_conjecture,
    ( szszuzczcdt0(xn) = xn
    | sdtlseqdt0(xm,xn) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_13])]) ).

cnf(c_0_48,hypothesis,
    ( aSet0(X1)
    | X1 != slbdtrb0(xm) ),
    inference(spm,[status(thm)],[c_0_16,c_0_18]) ).

cnf(c_0_49,hypothesis,
    ( sdtlseqdt0(X1,xn)
    | ~ sdtlseqdt0(X2,xn)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_45,c_0_13]) ).

cnf(c_0_50,negated_conjecture,
    sdtlseqdt0(xm,xn),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_13])]) ).

cnf(c_0_51,plain,
    ( aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X1,X2)
    | X2 != slbdtrb0(X3)
    | ~ aElementOf0(X3,szNzAzT0) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_52,plain,
    ( aElementOf0(esk2_2(X1,X2),X2)
    | aSubsetOf0(X2,X1)
    | ~ aSet0(X2)
    | ~ aSet0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_53,hypothesis,
    aSet0(slbdtrb0(xm)),
    inference(er,[status(thm)],[c_0_48]) ).

cnf(c_0_54,hypothesis,
    ( sdtlseqdt0(X1,xn)
    | ~ sdtlseqdt0(X1,xm)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_18])]) ).

cnf(c_0_55,hypothesis,
    ( sdtlseqdt0(szszuzczcdt0(X1),xm)
    | X2 != slbdtrb0(xm)
    | ~ aElementOf0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_21,c_0_18]) ).

cnf(c_0_56,hypothesis,
    ( aElementOf0(X1,szNzAzT0)
    | X2 != slbdtrb0(xm)
    | ~ aElementOf0(X1,X2) ),
    inference(spm,[status(thm)],[c_0_51,c_0_18]) ).

cnf(c_0_57,hypothesis,
    ( aSubsetOf0(slbdtrb0(xm),X1)
    | aElementOf0(esk2_2(X1,slbdtrb0(xm)),slbdtrb0(xm))
    | ~ aSet0(X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_58,negated_conjecture,
    ( ~ sdtlseqdt0(xm,xn)
    | ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_59,hypothesis,
    ( aElementOf0(X1,X2)
    | X2 != slbdtrb0(xn)
    | ~ sdtlseqdt0(szszuzczcdt0(X1),xm)
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_54]),c_0_13])]),c_0_44]) ).

cnf(c_0_60,hypothesis,
    ( sdtlseqdt0(szszuzczcdt0(X1),xm)
    | ~ aElementOf0(X1,slbdtrb0(xm)) ),
    inference(er,[status(thm)],[c_0_55]) ).

cnf(c_0_61,hypothesis,
    ( aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X1,slbdtrb0(xm)) ),
    inference(er,[status(thm)],[c_0_56]) ).

cnf(c_0_62,hypothesis,
    ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
    | aElementOf0(esk2_2(slbdtrb0(xn),slbdtrb0(xm)),slbdtrb0(xm)) ),
    inference(spm,[status(thm)],[c_0_57,c_0_32]) ).

cnf(c_0_63,negated_conjecture,
    ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_50])]) ).

cnf(c_0_64,hypothesis,
    ( aElementOf0(X1,X2)
    | X2 != slbdtrb0(xn)
    | ~ aElementOf0(X1,slbdtrb0(xm)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).

cnf(c_0_65,hypothesis,
    aElementOf0(esk2_2(slbdtrb0(xn),slbdtrb0(xm)),slbdtrb0(xm)),
    inference(sr,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_66,plain,
    ( aSubsetOf0(X2,X1)
    | ~ aElementOf0(esk2_2(X1,X2),X1)
    | ~ aSet0(X2)
    | ~ aSet0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_67,hypothesis,
    ( aElementOf0(esk2_2(slbdtrb0(xn),slbdtrb0(xm)),X1)
    | X1 != slbdtrb0(xn) ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_68,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_53]),c_0_32])]),c_0_63]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUM542+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33  % Computer : n023.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Tue May  5 00:44:23 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 17.58/11.04  % Version  : CSE_E---1.7
% 17.58/11.04  % Problem  : theBenchmark.p
% 17.58/11.04  % SZS status Theorem for theBenchmark.p
% 17.58/11.04  % SZS output start CNFRefutation
% See solution above
% 17.58/11.10  % Total time : 8.386s
%------------------------------------------------------------------------------