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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : NUM476+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:49:14 PM UTC 2026

% Result   : Theorem 0.12s 5.43s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   64 (  15 unt;   0 def)
%            Number of atoms       :  242 (  92 equ)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :  277 (  99   ~; 109   |;  47   &)
%                                         (   4 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   75 (   0 sgn  36   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ( ( xl != sz00
     => ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( xn = sdtasdt0(xl,X3)
                  & sdtpldt0(sdtasdt0(xl,X1),sdtasdt0(xl,X3)) = sdtpldt0(sdtasdt0(xl,X1),xn)
                  & X3 = sdtmndt0(X2,X1) )
              & sdtlseqdt0(X1,X2)
              & X2 = sdtsldt0(sdtpldt0(xm,xn),xl) )
          & X1 = sdtsldt0(xm,xl) ) )
   => doDivides0(xl,xn) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

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

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

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

fof(mAddComm,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1) )
     => sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).

fof(mDefDiff,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1) )
     => ( sdtlseqdt0(X1,X2)
       => ! [X3] :
            ( X3 = sdtmndt0(X2,X1)
          <=> ( sdtpldt0(X1,X3) = X2
              & aNaturalNumber0(X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).

fof(m__1324,hypothesis,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xl) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324) ).

fof(m__1324_04,hypothesis,
    ( doDivides0(xl,sdtpldt0(xm,xn))
    & doDivides0(xl,xm) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324_04) ).

fof(mSortsB,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1) )
     => aNaturalNumber0(sdtpldt0(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).

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

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

fof(m_AddZero,axiom,
    ! [X1] :
      ( aNaturalNumber0(X1)
     => ( X1 = sdtpldt0(sz00,X1)
        & sdtpldt0(X1,sz00) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).

fof(c_0_12,negated_conjecture,
    ~ ( ( xl != sz00
       => ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( xn = sdtasdt0(xl,X3)
                    & sdtpldt0(sdtasdt0(xl,X1),sdtasdt0(xl,X3)) = sdtpldt0(sdtasdt0(xl,X1),xn)
                    & X3 = sdtmndt0(X2,X1) )
                & sdtlseqdt0(X1,X2)
                & X2 = sdtsldt0(sdtpldt0(xm,xn),xl) )
            & X1 = sdtsldt0(xm,xl) ) )
     => doDivides0(xl,xn) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_13,plain,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1) )
     => ( ( doDivides0(X1,X2)
          & X1 != sz00 )
       => ! [X3] :
            ( X3 = sdtsldt0(X2,X1)
          <=> ( X2 = sdtasdt0(X1,X3)
              & aNaturalNumber0(X3) ) ) ) ),
    inference(fof_simplification,[status(thm)],[mDefQuot]) ).

fof(c_0_14,negated_conjecture,
    ~ ( ( xl != sz00
       => ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( xn = sdtasdt0(xl,X3)
                    & sdtpldt0(sdtasdt0(xl,X1),sdtasdt0(xl,X3)) = sdtpldt0(sdtasdt0(xl,X1),xn)
                    & X3 = sdtmndt0(X2,X1) )
                & sdtlseqdt0(X1,X2)
                & X2 = sdtsldt0(sdtpldt0(xm,xn),xl) )
            & X1 = sdtsldt0(xm,xl) ) )
     => doDivides0(xl,xn) ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_15,plain,
    ! [X8,X9,X11] :
      ( ( ~ aNaturalNumber0(X9)
        | ~ aNaturalNumber0(X8)
        | doDivides0(X8,X9)
        | X9 != sdtasdt0(X8,X11)
        | ~ aNaturalNumber0(X11) )
      & ( ~ aNaturalNumber0(X9)
        | ~ aNaturalNumber0(X8)
        | ~ doDivides0(X8,X9)
        | X9 = sdtasdt0(X8,esk4_2(X8,X9)) )
      & ( ~ aNaturalNumber0(X9)
        | ~ aNaturalNumber0(X8)
        | ~ doDivides0(X8,X9)
        | aNaturalNumber0(esk4_2(X8,X9)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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,
    ! [X41,X42] :
      ( aNaturalNumber0(sdtasdt0(X41,X42))
      | ~ aNaturalNumber0(X42)
      | ~ aNaturalNumber0(X41) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])])]) ).

fof(c_0_17,plain,
    ! [X70,X71,X72] :
      ( ( ~ aNaturalNumber0(X71)
        | ~ aNaturalNumber0(X70)
        | ~ doDivides0(X70,X71)
        | X70 = sz00
        | X72 = sdtsldt0(X71,X70)
        | X71 != sdtasdt0(X70,X72)
        | ~ aNaturalNumber0(X72) )
      & ( ~ aNaturalNumber0(X71)
        | ~ aNaturalNumber0(X70)
        | ~ doDivides0(X70,X71)
        | X70 = sz00
        | X72 != sdtsldt0(X71,X70)
        | X71 = sdtasdt0(X70,X72) )
      & ( ~ aNaturalNumber0(X71)
        | ~ aNaturalNumber0(X70)
        | ~ doDivides0(X70,X71)
        | X70 = sz00
        | X72 != sdtsldt0(X71,X70)
        | aNaturalNumber0(X72) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])]) ).

fof(c_0_18,negated_conjecture,
    ( ~ doDivides0(xl,xn)
    & ( xl = sz00
      | xn = sdtasdt0(xl,esk3_0) )
    & ( xl = sz00
      | sdtpldt0(sdtasdt0(xl,esk1_0),sdtasdt0(xl,esk3_0)) = sdtpldt0(sdtasdt0(xl,esk1_0),xn) )
    & ( xl = sz00
      | esk3_0 = sdtmndt0(esk2_0,esk1_0) )
    & ( xl = sz00
      | sdtlseqdt0(esk1_0,esk2_0) )
    & ( xl = sz00
      | esk2_0 = sdtsldt0(sdtpldt0(xm,xn),xl) )
    & ( xl = sz00
      | esk1_0 = sdtsldt0(xm,xl) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])]) ).

fof(c_0_19,plain,
    ! [X20,X21] :
      ( sdtpldt0(X20,X21) = sdtpldt0(X21,X20)
      | ~ aNaturalNumber0(X21)
      | ~ aNaturalNumber0(X20) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])])]) ).

fof(c_0_20,plain,
    ! [X59,X60,X61] :
      ( ( ~ aNaturalNumber0(X60)
        | ~ aNaturalNumber0(X59)
        | ~ sdtlseqdt0(X59,X60)
        | X61 = sdtmndt0(X60,X59)
        | sdtpldt0(X59,X61) != X60
        | ~ aNaturalNumber0(X61) )
      & ( ~ aNaturalNumber0(X60)
        | ~ aNaturalNumber0(X59)
        | ~ sdtlseqdt0(X59,X60)
        | X61 != sdtmndt0(X60,X59)
        | sdtpldt0(X59,X61) = X60 )
      & ( ~ aNaturalNumber0(X60)
        | ~ aNaturalNumber0(X59)
        | ~ sdtlseqdt0(X59,X60)
        | X61 != sdtmndt0(X60,X59)
        | aNaturalNumber0(X61) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiff])])])])]) ).

cnf(c_0_21,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | X2 != sdtasdt0(X3,X1)
    | ~ aNaturalNumber0(X1)
    | doDivides0(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_22,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | aNaturalNumber0(sdtasdt0(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ doDivides0(X3,X2)
    | X1 != sdtsldt0(X2,X3)
    | X3 = sz00
    | aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24,negated_conjecture,
    ( xl = sz00
    | esk2_0 = sdtsldt0(sdtpldt0(xm,xn),xl) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_26,hypothesis,
    aNaturalNumber0(xm),
    inference(split_conjunct,[status(thm)],[m__1324]) ).

cnf(c_0_27,hypothesis,
    aNaturalNumber0(xn),
    inference(split_conjunct,[status(thm)],[m__1324]) ).

cnf(c_0_28,hypothesis,
    doDivides0(xl,sdtpldt0(xm,xn)),
    inference(split_conjunct,[status(thm)],[m__1324_04]) ).

cnf(c_0_29,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ sdtlseqdt0(X3,X2)
    | X1 != sdtmndt0(X2,X3)
    | aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_30,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | doDivides0(X1,sdtasdt0(X1,X2)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_21]),c_0_22]) ).

cnf(c_0_31,negated_conjecture,
    ( xl = sz00
    | xn = sdtasdt0(xl,esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_32,hypothesis,
    aNaturalNumber0(xl),
    inference(split_conjunct,[status(thm)],[m__1324]) ).

cnf(c_0_33,negated_conjecture,
    ~ doDivides0(xl,xn),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_34,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ doDivides0(X1,X2)
    | aNaturalNumber0(sdtsldt0(X2,X1))
    | X1 = sz00 ),
    inference(er,[status(thm)],[c_0_23]) ).

cnf(c_0_35,negated_conjecture,
    ( xl = sz00
    | sdtsldt0(sdtpldt0(xn,xm),xl) = esk2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]) ).

cnf(c_0_36,hypothesis,
    doDivides0(xl,sdtpldt0(xn,xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_25]),c_0_26]),c_0_27])]) ).

fof(c_0_37,plain,
    ! [X18,X19] :
      ( aNaturalNumber0(sdtpldt0(X18,X19))
      | ~ aNaturalNumber0(X19)
      | ~ aNaturalNumber0(X18) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])])]) ).

fof(c_0_38,plain,
    ! [X48] :
      ( ( ~ aNaturalNumber0(X48)
        | sz00 = sdtasdt0(sz00,X48) )
      & ( ~ aNaturalNumber0(X48)
        | sdtasdt0(X48,sz00) = sz00 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulZero])])])]) ).

cnf(c_0_39,plain,
    ( ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ sdtlseqdt0(X2,X1)
    | aNaturalNumber0(sdtmndt0(X1,X2)) ),
    inference(er,[status(thm)],[c_0_29]) ).

cnf(c_0_40,negated_conjecture,
    ( xl = sz00
    | esk3_0 = sdtmndt0(esk2_0,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_41,negated_conjecture,
    ( xl = sz00
    | sdtlseqdt0(esk1_0,esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_42,negated_conjecture,
    ( ~ aNaturalNumber0(esk3_0)
    | xl = sz00 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]),c_0_33]) ).

cnf(c_0_43,negated_conjecture,
    ( ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | aNaturalNumber0(esk2_0)
    | xl = sz00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_32])]) ).

cnf(c_0_44,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | aNaturalNumber0(sdtpldt0(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_45,negated_conjecture,
    ( xl = sz00
    | esk1_0 = sdtsldt0(xm,xl) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_46,hypothesis,
    doDivides0(xl,xm),
    inference(split_conjunct,[status(thm)],[m__1324_04]) ).

cnf(c_0_47,plain,
    ( ~ aNaturalNumber0(X1)
    | sz00 = sdtasdt0(sz00,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_48,plain,
    ( ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X2,X1)
    | X1 = sdtasdt0(X2,esk4_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_49,plain,
    aNaturalNumber0(sz00),
    inference(split_conjunct,[status(thm)],[mSortsC]) ).

cnf(c_0_50,negated_conjecture,
    ( ~ aNaturalNumber0(esk2_0)
    | ~ aNaturalNumber0(esk1_0)
    | xl = sz00 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42]) ).

cnf(c_0_51,negated_conjecture,
    ( aNaturalNumber0(esk2_0)
    | xl = sz00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_26]),c_0_27])]) ).

cnf(c_0_52,negated_conjecture,
    ( aNaturalNumber0(esk1_0)
    | xl = sz00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_45]),c_0_46]),c_0_32]),c_0_26])]) ).

cnf(c_0_53,plain,
    ( ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(esk4_2(sz00,X1))
    | ~ doDivides0(sz00,X1)
    | X1 = sz00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]) ).

cnf(c_0_54,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ doDivides0(X1,X2)
    | aNaturalNumber0(esk4_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_55,negated_conjecture,
    xl = sz00,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).

cnf(c_0_56,plain,
    ( ~ aNaturalNumber0(X1)
    | ~ doDivides0(sz00,X1)
    | X1 = sz00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_49])]) ).

cnf(c_0_57,hypothesis,
    doDivides0(sz00,xm),
    inference(rw,[status(thm)],[c_0_46,c_0_55]) ).

cnf(c_0_58,hypothesis,
    xm = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_26])]) ).

fof(c_0_59,plain,
    ! [X25] :
      ( ( ~ aNaturalNumber0(X25)
        | X25 = sdtpldt0(sz00,X25) )
      & ( ~ aNaturalNumber0(X25)
        | sdtpldt0(X25,sz00) = X25 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_AddZero])])])]) ).

cnf(c_0_60,hypothesis,
    doDivides0(sz00,sdtpldt0(xn,sz00)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_55]),c_0_58]) ).

cnf(c_0_61,plain,
    ( ~ aNaturalNumber0(X1)
    | sdtpldt0(X1,sz00) = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_62,negated_conjecture,
    ~ doDivides0(sz00,xn),
    inference(rw,[status(thm)],[c_0_33,c_0_55]) ).

cnf(c_0_63,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_27])]),c_0_62]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NUM476+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/5.35  % Computer : n010.cluster.edu
% 0.07/5.35  % Model    : x86_64 x86_64
% 0.07/5.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/5.35  % Memory   : 8046.5625MB
% 0.07/5.35  % OS       : Linux 6.8.0-71-generic
% 0.07/5.35  % CPULimit : 300
% 0.07/5.35  % WCLimit  : 300
% 0.07/5.35  % DateTime : Mon Sep 21 02:34:00 UTC 2026
% 0.07/5.35  % CPUTime  : 
% 0.07/5.35  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/5.40  Running first-order theorem proving
% 0.12/5.40  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/5.43  % Version: 3.5.1
% 0.12/5.43  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.12/5.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/5.43  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.12/5.43  % Starting new_bool_3 with 300s (1) cores
% 0.12/5.43  % Starting new_bool_1 with 300s (1) cores
% 0.12/5.43  % Starting sh5l with 300s (1) cores
% 0.12/5.43  % new_bool_3 with pid 4048592 completed with status 0
% 0.12/5.43  % Result found by new_bool_3
% 0.12/5.43  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.12/5.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/5.43  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.12/5.43  % Starting new_bool_3 with 300s (1) cores
% 0.12/5.43  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.12/5.43  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/5.43  % Search class: FGUSF-FFMM22-SFFFFFNN
% 0.12/5.43  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/5.43  % Starting SubtermCWHack with 31s (1) cores
% 0.12/5.43  % SubtermCWHack with pid 4048596 completed with status 0
% 0.12/5.43  % Result found by SubtermCWHack
% 0.12/5.43  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.12/5.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/5.43  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.12/5.43  % Starting new_bool_3 with 300s (1) cores
% 0.12/5.43  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.12/5.43  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/5.43  % Search class: FGUSF-FFMM22-SFFFFFNN
% 0.12/5.43  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/5.43  % Starting SubtermCWHack with 31s (1) cores
% 0.12/5.43  % Preprocessing time       : 0.001 s
% 0.12/5.43  
% 0.12/5.43  % Proof found!
% 0.12/5.43  % SZS status Theorem
% 0.12/5.43  % SZS output start CNFRefutation
% See solution above
% 0.12/5.43  % Parsed axioms                        : 36
% 0.12/5.43  % Removed by relevancy pruning/SinE    : 5
% 0.12/5.43  % Initial clauses                      : 61
% 0.12/5.43  % Removed in clause preprocessing      : 1
% 0.12/5.43  % Initial clauses in saturation        : 60
% 0.12/5.43  % Processed clauses                    : 169
% 0.12/5.43  % ...of these trivial                  : 1
% 0.12/5.43  % ...subsumed                          : 68
% 0.12/5.43  % ...remaining for further processing  : 100
% 0.12/5.43  % Other redundant clauses eliminated   : 18
% 0.12/5.43  % Clauses deleted for lack of memory   : 0
% 0.12/5.43  % Backward-subsumed                    : 8
% 0.12/5.43  % Backward-rewritten                   : 35
% 0.12/5.43  % Generated clauses                    : 279
% 0.12/5.43  % ...of the previous two non-redundant : 246
% 0.12/5.43  % ...aggressively subsumed             : 0
% 0.12/5.43  % Contextual simplify-reflections      : 5
% 0.12/5.43  % Paramodulations                      : 257
% 0.12/5.43  % Factorizations                       : 0
% 0.12/5.43  % NegExts                              : 0
% 0.12/5.43  % Equation resolutions                 : 22
% 0.12/5.43  % Disequality decompositions           : 0
% 0.12/5.43  % Total rewrite steps                  : 203
% 0.12/5.43  % ...of those cached                   : 191
% 0.12/5.43  % Propositional unsat checks           : 0
% 0.12/5.43  %    Propositional check models        : 0
% 0.12/5.43  %    Propositional check unsatisfiable : 0
% 0.12/5.43  %    Propositional clauses             : 0
% 0.12/5.43  %    Propositional clauses after purity: 0
% 0.12/5.43  %    Propositional unsat core size     : 0
% 0.12/5.43  %    Propositional preprocessing time  : 0.000
% 0.12/5.43  %    Propositional encoding time       : 0.000
% 0.12/5.43  %    Propositional solver time         : 0.000
% 0.12/5.43  %    Success case prop preproc time    : 0.000
% 0.12/5.43  %    Success case prop encoding time   : 0.000
% 0.12/5.43  %    Success case prop solver time     : 0.000
% 0.12/5.43  % Current number of processed clauses  : 51
% 0.12/5.43  %    Positive orientable unit clauses  : 8
% 0.12/5.43  %    Positive unorientable unit clauses: 0
% 0.12/5.43  %    Negative unit clauses             : 1
% 0.12/5.43  %    Non-unit-clauses                  : 42
% 0.12/5.43  % Current number of unprocessed clauses: 124
% 0.12/5.43  % ...number of literals in the above   : 624
% 0.12/5.43  % Current number of archived formulas  : 0
% 0.12/5.43  % Current number of archived clauses   : 43
% 0.12/5.43  % Clause-clause subsumption calls (NU) : 462
% 0.12/5.43  % Rec. Clause-clause subsumption calls : 294
% 0.12/5.43  % Non-unit clause-clause subsumptions  : 81
% 0.12/5.43  % Unit Clause-clause subsumption calls : 20
% 0.12/5.43  % Rewrite failures with RHS unbound    : 0
% 0.12/5.43  % BW rewrite match attempts            : 3
% 0.12/5.43  % BW rewrite match successes           : 3
% 0.12/5.43  % Condensation attempts                : 0
% 0.12/5.43  % Condensation successes               : 0
% 0.12/5.43  % Termbank termtop insertions          : 8833
% 0.12/5.43  % Search garbage collected termcells   : 1092
% 0.12/5.43  
% 0.12/5.43  % -------------------------------------------------
% 0.12/5.43  % User time                : 0.012 s
% 0.12/5.43  % System time              : 0.002 s
% 0.12/5.43  % Total time               : 0.014 s
% 0.12/5.43  % Maximum resident set size: 3672 pages
% 0.12/5.43  
% 0.12/5.43  % -------------------------------------------------
% 0.12/5.43  % User time                : 0.014 s
% 0.12/5.43  % System time              : 0.006 s
% 0.12/5.43  % Total time               : 0.021 s
% 0.12/5.43  % Maximum resident set size: 4608 pages
% 0.12/5.43  % E exiting
%------------------------------------------------------------------------------