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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : NUM518+3 : 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 : n026.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 04:57:39 PM UTC 2026

% Result   : Theorem 1.96s 1.91s
% Output   : CNFRefutation 1.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   61 (  22 unt;   0 def)
%            Number of atoms       :  260 (  86 equ)
%            Maximal formula atoms :   30 (   4 avg)
%            Number of connectives :  288 (  89   ~; 105   |;  81   &)
%                                         (   2 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  12 con; 0-2 aty)
%            Number of variables   :   65 (   0 sgn  33   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ( ? [X1] :
        ( aNaturalNumber0(X1)
        & xn = sdtasdt0(xp,X1) )
    | doDivides0(xp,xn)
    | ? [X1] :
        ( aNaturalNumber0(X1)
        & xm = sdtasdt0(xp,X1) )
    | doDivides0(xp,xm) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(mDefDiv,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( doDivides0(X1,X2)
      <=> ? [X3] :
            ( aNaturalNumber0(X3)
            & X2 = sdtasdt0(X1,X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).

fof(mSortsB_02,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => aNaturalNumber0(sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).

fof(m__2645,hypothesis,
    ( ( aNaturalNumber0(sdtsldt0(xn,xr))
      & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
      & ? [X1] :
          ( aNaturalNumber0(X1)
          & sdtsldt0(xn,xr) = sdtasdt0(xp,X1) )
      & doDivides0(xp,sdtsldt0(xn,xr)) )
    | ( ? [X1] :
          ( aNaturalNumber0(X1)
          & xm = sdtasdt0(xp,X1) )
      & doDivides0(xp,xm) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2645) ).

fof(mDefQuot,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( ( X1 != sz00
          & doDivides0(X1,X2) )
       => ! [X3] :
            ( X3 = sdtsldt0(X2,X1)
          <=> ( aNaturalNumber0(X3)
              & X2 = sdtasdt0(X1,X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).

fof(m__2504,hypothesis,
    ( ~ ( ( aNaturalNumber0(sdtsldt0(xn,xr))
          & xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
       => sdtsldt0(xn,xr) = xn )
    & aNaturalNumber0(sdtsldt0(xn,xr))
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & ? [X1] :
        ( aNaturalNumber0(X1)
        & sdtpldt0(sdtsldt0(xn,xr),X1) = xn )
    & sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2504) ).

fof(m__2487,hypothesis,
    ( ? [X1] :
        ( aNaturalNumber0(X1)
        & xn = sdtasdt0(xr,X1) )
    & doDivides0(xr,xn) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2487) ).

fof(m__2342,hypothesis,
    ( aNaturalNumber0(xr)
    & ? [X1] :
        ( aNaturalNumber0(X1)
        & xk = sdtasdt0(xr,X1) )
    & doDivides0(xr,xk)
    & xr != sz00
    & xr != sz10
    & ! [X1] :
        ( ( aNaturalNumber0(X1)
          & ( ? [X2] :
                ( aNaturalNumber0(X2)
                & xr = sdtasdt0(X1,X2) )
            | doDivides0(X1,xr) ) )
       => ( X1 = sz10
          | X1 = xr ) )
    & isPrime0(xr) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2342) ).

fof(mLETran,axiom,
    ! [X1,X2,X3] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2)
        & aNaturalNumber0(X3) )
     => ( ( sdtlseqdt0(X1,X2)
          & sdtlseqdt0(X2,X3) )
       => sdtlseqdt0(X1,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETran) ).

fof(mMonMul2,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( X1 != sz00
       => sdtlseqdt0(X2,sdtasdt0(X2,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul2) ).

fof(m__1837,hypothesis,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xp) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).

fof(m__1870,hypothesis,
    ~ ( ? [X1] :
          ( aNaturalNumber0(X1)
          & sdtpldt0(xp,X1) = xn )
      | sdtlseqdt0(xp,xn) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1870) ).

fof(m_MulZero,axiom,
    ! [X1] :
      ( aNaturalNumber0(X1)
     => ( sdtasdt0(X1,sz00) = sz00
        & sz00 = sdtasdt0(sz00,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).

fof(mSortsC,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).

fof(c_0_14,negated_conjecture,
    ~ ( ? [X1] :
          ( aNaturalNumber0(X1)
          & xn = sdtasdt0(xp,X1) )
      | doDivides0(xp,xn)
      | ? [X1] :
          ( aNaturalNumber0(X1)
          & xm = sdtasdt0(xp,X1) )
      | doDivides0(xp,xm) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_15,plain,
    ! [X174,X175,X177] :
      ( ( aNaturalNumber0(esk2_2(X174,X175))
        | ~ doDivides0(X174,X175)
        | ~ aNaturalNumber0(X174)
        | ~ aNaturalNumber0(X175) )
      & ( X175 = sdtasdt0(X174,esk2_2(X174,X175))
        | ~ doDivides0(X174,X175)
        | ~ aNaturalNumber0(X174)
        | ~ aNaturalNumber0(X175) )
      & ( ~ aNaturalNumber0(X177)
        | X175 != sdtasdt0(X174,X177)
        | doDivides0(X174,X175)
        | ~ aNaturalNumber0(X174)
        | ~ aNaturalNumber0(X175) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiv])])])])]) ).

fof(c_0_16,plain,
    ! [X120,X121] :
      ( ~ aNaturalNumber0(X120)
      | ~ aNaturalNumber0(X121)
      | aNaturalNumber0(sdtasdt0(X120,X121)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).

fof(c_0_17,hypothesis,
    ( ( aNaturalNumber0(esk22_0)
      | aNaturalNumber0(sdtsldt0(xn,xr)) )
    & ( xm = sdtasdt0(xp,esk22_0)
      | aNaturalNumber0(sdtsldt0(xn,xr)) )
    & ( doDivides0(xp,xm)
      | aNaturalNumber0(sdtsldt0(xn,xr)) )
    & ( aNaturalNumber0(esk22_0)
      | xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
    & ( xm = sdtasdt0(xp,esk22_0)
      | xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
    & ( doDivides0(xp,xm)
      | xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
    & ( aNaturalNumber0(esk22_0)
      | aNaturalNumber0(esk21_0) )
    & ( xm = sdtasdt0(xp,esk22_0)
      | aNaturalNumber0(esk21_0) )
    & ( doDivides0(xp,xm)
      | aNaturalNumber0(esk21_0) )
    & ( aNaturalNumber0(esk22_0)
      | sdtsldt0(xn,xr) = sdtasdt0(xp,esk21_0) )
    & ( xm = sdtasdt0(xp,esk22_0)
      | sdtsldt0(xn,xr) = sdtasdt0(xp,esk21_0) )
    & ( doDivides0(xp,xm)
      | sdtsldt0(xn,xr) = sdtasdt0(xp,esk21_0) )
    & ( aNaturalNumber0(esk22_0)
      | doDivides0(xp,sdtsldt0(xn,xr)) )
    & ( xm = sdtasdt0(xp,esk22_0)
      | doDivides0(xp,sdtsldt0(xn,xr)) )
    & ( doDivides0(xp,xm)
      | doDivides0(xp,sdtsldt0(xn,xr)) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2645])])]) ).

fof(c_0_18,negated_conjecture,
    ! [X228,X229] :
      ( ( ~ aNaturalNumber0(X228)
        | xn != sdtasdt0(xp,X228) )
      & ~ doDivides0(xp,xn)
      & ( ~ aNaturalNumber0(X229)
        | xm != sdtasdt0(xp,X229) )
      & ~ doDivides0(xp,xm) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).

fof(c_0_19,plain,
    ! [X178,X179,X180] :
      ( ( aNaturalNumber0(X180)
        | X180 != sdtsldt0(X179,X178)
        | X178 = sz00
        | ~ doDivides0(X178,X179)
        | ~ aNaturalNumber0(X178)
        | ~ aNaturalNumber0(X179) )
      & ( X179 = sdtasdt0(X178,X180)
        | X180 != sdtsldt0(X179,X178)
        | X178 = sz00
        | ~ doDivides0(X178,X179)
        | ~ aNaturalNumber0(X178)
        | ~ aNaturalNumber0(X179) )
      & ( ~ aNaturalNumber0(X180)
        | X179 != sdtasdt0(X178,X180)
        | X180 = sdtsldt0(X179,X178)
        | X178 = sz00
        | ~ doDivides0(X178,X179)
        | ~ aNaturalNumber0(X178)
        | ~ aNaturalNumber0(X179) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefQuot])])])]) ).

cnf(c_0_20,plain,
    ( doDivides0(X3,X2)
    | ~ aNaturalNumber0(X1)
    | X2 != sdtasdt0(X3,X1)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_22,hypothesis,
    ( aNaturalNumber0(sdtsldt0(xn,xr))
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & sdtsldt0(xn,xr) != xn
    & aNaturalNumber0(sdtsldt0(xn,xr))
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & aNaturalNumber0(esk19_0)
    & sdtpldt0(sdtsldt0(xn,xr),esk19_0) = xn
    & sdtlseqdt0(sdtsldt0(xn,xr),xn) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2504])])]) ).

cnf(c_0_23,hypothesis,
    ( doDivides0(xp,xm)
    | sdtsldt0(xn,xr) = sdtasdt0(xp,esk21_0) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24,negated_conjecture,
    ~ doDivides0(xp,xm),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,plain,
    ( X1 = sdtsldt0(X2,X3)
    | X3 = sz00
    | ~ aNaturalNumber0(X1)
    | X2 != sdtasdt0(X3,X1)
    | ~ doDivides0(X3,X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_26,plain,
    ( doDivides0(X1,sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_20]),c_0_21]) ).

fof(c_0_27,hypothesis,
    ( aNaturalNumber0(esk18_0)
    & xn = sdtasdt0(xr,esk18_0)
    & doDivides0(xr,xn) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2487])]) ).

fof(c_0_28,hypothesis,
    ! [X216,X217] :
      ( aNaturalNumber0(xr)
      & aNaturalNumber0(esk12_0)
      & xk = sdtasdt0(xr,esk12_0)
      & doDivides0(xr,xk)
      & xr != sz00
      & xr != sz10
      & ( ~ aNaturalNumber0(X217)
        | xr != sdtasdt0(X216,X217)
        | ~ aNaturalNumber0(X216)
        | X216 = sz10
        | X216 = xr )
      & ( ~ doDivides0(X216,xr)
        | ~ aNaturalNumber0(X216)
        | X216 = sz10
        | X216 = xr )
      & isPrime0(xr) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2342])])])])]) ).

cnf(c_0_29,hypothesis,
    sdtlseqdt0(sdtsldt0(xn,xr),xn),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_30,hypothesis,
    sdtsldt0(xn,xr) = sdtasdt0(xp,esk21_0),
    inference(sr,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_31,plain,
    ( sdtsldt0(sdtasdt0(X1,X2),X1) = X2
    | X1 = sz00
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_25]),c_0_21]),c_0_26]) ).

cnf(c_0_32,hypothesis,
    xn = sdtasdt0(xr,esk18_0),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_33,hypothesis,
    aNaturalNumber0(xr),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_34,hypothesis,
    aNaturalNumber0(esk18_0),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_35,hypothesis,
    xr != sz00,
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

fof(c_0_36,plain,
    ! [X158,X159,X160] :
      ( ~ aNaturalNumber0(X158)
      | ~ aNaturalNumber0(X159)
      | ~ aNaturalNumber0(X160)
      | ~ sdtlseqdt0(X158,X159)
      | ~ sdtlseqdt0(X159,X160)
      | sdtlseqdt0(X158,X160) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLETran])]) ).

cnf(c_0_37,hypothesis,
    sdtlseqdt0(sdtasdt0(xp,esk21_0),xn),
    inference(rw,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_38,hypothesis,
    sdtasdt0(xp,esk21_0) = esk18_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_30]),c_0_33]),c_0_34])]),c_0_35]) ).

fof(c_0_39,plain,
    ! [X170,X171] :
      ( ~ aNaturalNumber0(X170)
      | ~ aNaturalNumber0(X171)
      | X170 = sz00
      | sdtlseqdt0(X171,sdtasdt0(X171,X170)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMonMul2])]) ).

cnf(c_0_40,hypothesis,
    ( doDivides0(xp,xm)
    | aNaturalNumber0(esk21_0) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_41,plain,
    ( sdtlseqdt0(X1,X3)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ sdtlseqdt0(X1,X2)
    | ~ sdtlseqdt0(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_42,hypothesis,
    sdtlseqdt0(esk18_0,xn),
    inference(rw,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_43,hypothesis,
    aNaturalNumber0(xn),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_44,plain,
    ( X1 = sz00
    | sdtlseqdt0(X2,sdtasdt0(X2,X1))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_45,hypothesis,
    aNaturalNumber0(xp),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_46,hypothesis,
    aNaturalNumber0(esk21_0),
    inference(sr,[status(thm)],[c_0_40,c_0_24]) ).

fof(c_0_47,hypothesis,
    ! [X211] :
      ( ( ~ aNaturalNumber0(X211)
        | sdtpldt0(xp,X211) != xn )
      & ~ sdtlseqdt0(xp,xn) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1870])])]) ).

cnf(c_0_48,hypothesis,
    ( sdtlseqdt0(X1,xn)
    | ~ sdtlseqdt0(X1,esk18_0)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_34])]) ).

cnf(c_0_49,hypothesis,
    ( esk21_0 = sz00
    | sdtlseqdt0(xp,esk18_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_38]),c_0_45]),c_0_46])]) ).

cnf(c_0_50,hypothesis,
    ~ sdtlseqdt0(xp,xn),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

fof(c_0_51,plain,
    ! [X134] :
      ( ( sdtasdt0(X134,sz00) = sz00
        | ~ aNaturalNumber0(X134) )
      & ( sz00 = sdtasdt0(sz00,X134)
        | ~ aNaturalNumber0(X134) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulZero])])]) ).

cnf(c_0_52,hypothesis,
    esk21_0 = sz00,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_45])]),c_0_50]) ).

cnf(c_0_53,plain,
    ( sdtasdt0(X1,sz00) = sz00
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_54,hypothesis,
    sdtasdt0(xp,sz00) = esk18_0,
    inference(rw,[status(thm)],[c_0_38,c_0_52]) ).

cnf(c_0_55,hypothesis,
    esk18_0 = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_45])]) ).

cnf(c_0_56,negated_conjecture,
    ( ~ aNaturalNumber0(X1)
    | xn != sdtasdt0(xp,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_57,plain,
    aNaturalNumber0(sz00),
    inference(split_conjunct,[status(thm)],[mSortsC]) ).

cnf(c_0_58,hypothesis,
    sdtasdt0(xr,sz00) = xn,
    inference(rw,[status(thm)],[c_0_32,c_0_55]) ).

cnf(c_0_59,negated_conjecture,
    sz00 != xn,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_53]),c_0_57]),c_0_45])]) ).

cnf(c_0_60,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_58]),c_0_33])]),c_0_59]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : NUM518+3 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11  % 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
% 0.16/0.32  % Computer : n026.cluster.edu
% 0.16/0.32  % Model    : x86_64 x86_64
% 0.16/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32  % Memory   : 8042.1875MB
% 0.16/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32  % CPULimit   : 300
% 0.16/0.32  % WCLimit    : 300
% 0.16/0.32  % DateTime   : Tue May  5 00:41:38 EDT 2026
% 0.16/0.32  % CPUTime    : 
% 0.16/0.33  % start to proof: theBenchmark
% 1.96/1.91  % Version  : CSE_E---1.7
% 1.96/1.91  % Problem  : theBenchmark.p
% 1.96/1.91  % SZS status Theorem for theBenchmark.p
% 1.96/1.91  % SZS output start CNFRefutation
% See solution above
% 1.96/1.92  % Total time : 1.372s
%------------------------------------------------------------------------------