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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : NUM474+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n017.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 01:49:13 PM UTC 2026

% Result   : Theorem 0.16s 15.78s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   73 (  41 unt;   0 def)
%            Number of atoms       :  204 (  89 equ)
%            Maximal formula atoms :   19 (   2 avg)
%            Number of connectives :  215 (  84   ~;  75   |;  43   &)
%                                         (   3 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  10 con; 0-2 aty)
%            Number of variables   :   61 (   0 sgn  34   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) = sdtpldt0(sdtasdt0(xl,xp),xn),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(m__1324_04,hypothesis,
    ( doDivides0(xl,sdtpldt0(xm,xn))
    & ? [X1] :
        ( sdtpldt0(xm,xn) = sdtasdt0(xl,X1)
        & aNaturalNumber0(X1) )
    & doDivides0(xl,xm)
    & ? [X1] :
        ( xm = sdtasdt0(xl,X1)
        & aNaturalNumber0(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324_04) ).

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/sandbox/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/sandbox/benchmark/theBenchmark.p',mDefDiv) ).

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

fof(m__1360,hypothesis,
    ( xp = sdtsldt0(xm,xl)
    & xm = sdtasdt0(xl,xp)
    & aNaturalNumber0(xp) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1360) ).

fof(m__1379,hypothesis,
    ( xq = sdtsldt0(sdtpldt0(xm,xn),xl)
    & sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
    & aNaturalNumber0(xq) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1379) ).

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

fof(m__1347,hypothesis,
    xl != sz00,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1347) ).

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

fof(mAddCanc,axiom,
    ! [X1,X2,X3] :
      ( ( aNaturalNumber0(X3)
        & aNaturalNumber0(X2)
        & aNaturalNumber0(X1) )
     => ( ( sdtpldt0(X2,X1) = sdtpldt0(X3,X1)
          | sdtpldt0(X1,X2) = sdtpldt0(X1,X3) )
       => X2 = X3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).

fof(m__1422,hypothesis,
    ( xr = sdtmndt0(xq,xp)
    & sdtpldt0(xp,xr) = xq
    & aNaturalNumber0(xr) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1422) ).

fof(m__1395,hypothesis,
    ( sdtlseqdt0(xp,xq)
    & ? [X1] :
        ( sdtpldt0(xp,X1) = xq
        & aNaturalNumber0(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1395) ).

fof(mAMDistr,axiom,
    ! [X1,X2,X3] :
      ( ( aNaturalNumber0(X3)
        & aNaturalNumber0(X2)
        & aNaturalNumber0(X1) )
     => ( sdtasdt0(sdtpldt0(X2,X3),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1))
        & sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).

fof(c_0_14,negated_conjecture,
    sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_15,negated_conjecture,
    sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_16,negated_conjecture,
    sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
    inference(fof_nnf,[status(thm)],[c_0_15]) ).

fof(c_0_17,hypothesis,
    ( doDivides0(xl,sdtpldt0(xm,xn))
    & sdtpldt0(xm,xn) = sdtasdt0(xl,esk4_0)
    & aNaturalNumber0(esk4_0)
    & doDivides0(xl,xm)
    & xm = sdtasdt0(xl,esk3_0)
    & aNaturalNumber0(esk3_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__1324_04])]) ).

fof(c_0_18,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_19,plain,
    ! [X63,X64,X66] :
      ( ( ~ aNaturalNumber0(X64)
        | ~ aNaturalNumber0(X63)
        | doDivides0(X63,X64)
        | X64 != sdtasdt0(X63,X66)
        | ~ aNaturalNumber0(X66) )
      & ( ~ aNaturalNumber0(X64)
        | ~ aNaturalNumber0(X63)
        | ~ doDivides0(X63,X64)
        | X64 = sdtasdt0(X63,esk2_2(X63,X64)) )
      & ( ~ aNaturalNumber0(X64)
        | ~ aNaturalNumber0(X63)
        | ~ doDivides0(X63,X64)
        | aNaturalNumber0(esk2_2(X63,X64)) ) ),
    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_20,plain,
    ! [X7,X8] :
      ( aNaturalNumber0(sdtasdt0(X7,X8))
      | ~ aNaturalNumber0(X8)
      | ~ aNaturalNumber0(X7) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])])]) ).

cnf(c_0_21,negated_conjecture,
    sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_22,hypothesis,
    xm = sdtasdt0(xl,xp),
    inference(split_conjunct,[status(thm)],[m__1360]) ).

cnf(c_0_23,hypothesis,
    sdtpldt0(xm,xn) = sdtasdt0(xl,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24,hypothesis,
    sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
    inference(split_conjunct,[status(thm)],[m__1379]) ).

fof(c_0_25,plain,
    ! [X15,X16] :
      ( sdtasdt0(X15,X16) = sdtasdt0(X16,X15)
      | ~ aNaturalNumber0(X16)
      | ~ aNaturalNumber0(X15) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])])]) ).

fof(c_0_26,plain,
    ! [X67,X68,X69] :
      ( ( ~ aNaturalNumber0(X68)
        | ~ aNaturalNumber0(X67)
        | ~ doDivides0(X67,X68)
        | X67 = sz00
        | X69 = sdtsldt0(X68,X67)
        | X68 != sdtasdt0(X67,X69)
        | ~ aNaturalNumber0(X69) )
      & ( ~ aNaturalNumber0(X68)
        | ~ aNaturalNumber0(X67)
        | ~ doDivides0(X67,X68)
        | X67 = sz00
        | X69 != sdtsldt0(X68,X67)
        | X68 = sdtasdt0(X67,X69) )
      & ( ~ aNaturalNumber0(X68)
        | ~ aNaturalNumber0(X67)
        | ~ doDivides0(X67,X68)
        | X67 = sz00
        | X69 != sdtsldt0(X68,X67)
        | aNaturalNumber0(X69) ) ),
    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_18])])])])]) ).

cnf(c_0_27,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | X2 != sdtasdt0(X3,X1)
    | ~ aNaturalNumber0(X1)
    | doDivides0(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_28,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | aNaturalNumber0(sdtasdt0(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_29,hypothesis,
    xl != sz00,
    inference(fof_simplification,[status(thm)],[m__1347]) ).

cnf(c_0_30,negated_conjecture,
    sdtpldt0(xm,sdtasdt0(xl,xr)) != sdtpldt0(xm,xn),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_22]) ).

cnf(c_0_31,hypothesis,
    sdtasdt0(xl,esk4_0) = sdtasdt0(xl,xq),
    inference(rw,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_32,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_33,hypothesis,
    aNaturalNumber0(xl),
    inference(split_conjunct,[status(thm)],[m__1324]) ).

cnf(c_0_34,hypothesis,
    aNaturalNumber0(esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_35,plain,
    ! [X25,X26,X27] :
      ( ( ~ aNaturalNumber0(X27)
        | ~ aNaturalNumber0(X26)
        | ~ aNaturalNumber0(X25)
        | X26 = X27
        | sdtpldt0(X26,X25) != sdtpldt0(X27,X25) )
      & ( ~ aNaturalNumber0(X27)
        | ~ aNaturalNumber0(X26)
        | ~ aNaturalNumber0(X25)
        | X26 = X27
        | sdtpldt0(X25,X26) != sdtpldt0(X25,X27) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddCanc])])])]) ).

cnf(c_0_36,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ doDivides0(X3,X2)
    | X2 != sdtasdt0(X3,X1)
    | ~ aNaturalNumber0(X1)
    | X3 = sz00
    | X1 = sdtsldt0(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_37,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | doDivides0(X1,sdtasdt0(X1,X2)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_27]),c_0_28]) ).

fof(c_0_38,hypothesis,
    xl != sz00,
    inference(fof_nnf,[status(thm)],[c_0_29]) ).

cnf(c_0_39,negated_conjecture,
    sdtpldt0(xm,sdtasdt0(xl,xr)) != sdtasdt0(xl,xq),
    inference(rw,[status(thm)],[c_0_30,c_0_24]) ).

cnf(c_0_40,hypothesis,
    sdtasdt0(xl,xq) = sdtasdt0(esk4_0,xl),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34])]) ).

cnf(c_0_41,hypothesis,
    aNaturalNumber0(xq),
    inference(split_conjunct,[status(thm)],[m__1379]) ).

cnf(c_0_42,plain,
    ( ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | sdtpldt0(X1,X2) != sdtpldt0(X1,X3)
    | X2 = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_43,hypothesis,
    sdtpldt0(xp,xr) = xq,
    inference(split_conjunct,[status(thm)],[m__1422]) ).

cnf(c_0_44,hypothesis,
    aNaturalNumber0(xr),
    inference(split_conjunct,[status(thm)],[m__1422]) ).

cnf(c_0_45,hypothesis,
    aNaturalNumber0(xp),
    inference(split_conjunct,[status(thm)],[m__1360]) ).

fof(c_0_46,hypothesis,
    ( sdtlseqdt0(xp,xq)
    & sdtpldt0(xp,esk5_0) = xq
    & aNaturalNumber0(esk5_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__1395])]) ).

cnf(c_0_47,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | X1 = sz00
    | sdtsldt0(sdtasdt0(X1,X2),X1) = X2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_36]),c_0_28]),c_0_37]) ).

cnf(c_0_48,hypothesis,
    xl != sz00,
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_49,hypothesis,
    xq = sdtsldt0(sdtpldt0(xm,xn),xl),
    inference(split_conjunct,[status(thm)],[m__1379]) ).

cnf(c_0_50,negated_conjecture,
    sdtpldt0(xm,sdtasdt0(xl,xr)) != sdtasdt0(esk4_0,xl),
    inference(rw,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_51,hypothesis,
    sdtasdt0(esk4_0,xl) = sdtasdt0(xq,xl),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_40]),c_0_41]),c_0_33])]) ).

cnf(c_0_52,hypothesis,
    ( ~ aNaturalNumber0(X1)
    | sdtpldt0(xp,X1) != xq
    | X1 = xr ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_45])]) ).

cnf(c_0_53,hypothesis,
    sdtpldt0(xp,esk5_0) = xq,
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_54,hypothesis,
    aNaturalNumber0(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

fof(c_0_55,plain,
    ! [X22,X23,X24] :
      ( ( ~ aNaturalNumber0(X24)
        | ~ aNaturalNumber0(X23)
        | ~ aNaturalNumber0(X22)
        | sdtasdt0(sdtpldt0(X23,X24),X22) = sdtpldt0(sdtasdt0(X23,X22),sdtasdt0(X24,X22)) )
      & ( ~ aNaturalNumber0(X24)
        | ~ aNaturalNumber0(X23)
        | ~ aNaturalNumber0(X22)
        | sdtasdt0(X22,sdtpldt0(X23,X24)) = sdtpldt0(sdtasdt0(X22,X23),sdtasdt0(X22,X24)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])])]) ).

cnf(c_0_56,hypothesis,
    ( ~ aNaturalNumber0(X1)
    | sdtsldt0(sdtasdt0(xl,X1),xl) = X1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_33]),c_0_48]) ).

cnf(c_0_57,hypothesis,
    xm = sdtasdt0(xl,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_58,hypothesis,
    xp = sdtsldt0(xm,xl),
    inference(split_conjunct,[status(thm)],[m__1360]) ).

cnf(c_0_59,hypothesis,
    aNaturalNumber0(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_60,hypothesis,
    sdtasdt0(xl,esk4_0) = sdtasdt0(esk4_0,xl),
    inference(rw,[status(thm)],[c_0_31,c_0_40]) ).

cnf(c_0_61,hypothesis,
    sdtsldt0(sdtasdt0(xl,xq),xl) = xq,
    inference(rw,[status(thm)],[c_0_49,c_0_24]) ).

cnf(c_0_62,negated_conjecture,
    sdtpldt0(xm,sdtasdt0(xl,xr)) != sdtasdt0(xq,xl),
    inference(rw,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_63,hypothesis,
    xr = esk5_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]) ).

cnf(c_0_64,plain,
    ( ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_65,hypothesis,
    xp = esk3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_59])]) ).

cnf(c_0_66,hypothesis,
    sdtasdt0(xl,esk4_0) = sdtasdt0(xq,xl),
    inference(rw,[status(thm)],[c_0_60,c_0_51]) ).

cnf(c_0_67,hypothesis,
    sdtsldt0(sdtasdt0(xq,xl),xl) = xq,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_40]),c_0_51]) ).

cnf(c_0_68,negated_conjecture,
    sdtpldt0(xm,sdtasdt0(xl,esk5_0)) != sdtasdt0(xq,xl),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_69,hypothesis,
    ( ~ aNaturalNumber0(X1)
    | sdtpldt0(xm,sdtasdt0(xl,X1)) = sdtasdt0(xl,sdtpldt0(esk3_0,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_57]),c_0_59]),c_0_33])]) ).

cnf(c_0_70,hypothesis,
    sdtpldt0(esk3_0,esk5_0) = xq,
    inference(rw,[status(thm)],[c_0_53,c_0_65]) ).

cnf(c_0_71,hypothesis,
    esk4_0 = xq,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_66]),c_0_67]),c_0_34])]) ).

cnf(c_0_72,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),c_0_40]),c_0_71]),c_0_54])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM474+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/15.40  % Computer : n017.cluster.edu
% 0.13/15.40  % Model    : x86_64 x86_64
% 0.13/15.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/15.40  % Memory   : 8046.5625MB
% 0.13/15.40  % OS       : Linux 6.8.0-71-generic
% 0.13/15.40  % CPULimit : 300
% 0.13/15.40  % WCLimit  : 300
% 0.13/15.40  % DateTime : Mon Sep 21 02:28:57 UTC 2026
% 0.13/15.41  % CPUTime  : 
% 0.13/15.41  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/15.47  Running first-order theorem proving
% 0.13/15.47  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.16/15.78  % Version: 3.5.1
% 0.16/15.78  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/15.78  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/15.78  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/15.78  % Starting new_bool_3 with 300s (1) cores
% 0.16/15.78  % Starting new_bool_1 with 300s (1) cores
% 0.16/15.78  % Starting sh5l with 300s (1) cores
% 0.16/15.78  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1229014 completed with status 0
% 0.16/15.78  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.16/15.78  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/15.78  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/15.78  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/15.78  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/15.78  % No SInE strategy applied
% 0.16/15.78  % Search class: FGUSF-FFMM22-SFFFFFNN
% 0.16/15.78  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/15.78  % Starting SubtermCWHack with 136s (1) cores
% 0.16/15.78  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.16/15.78  % Starting G-E--_107_B42_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.16/15.78  % Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.16/15.78  % Starting new_bool_3 with 136s (1) cores
% 0.16/15.78  % G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 1229024 completed with status 0
% 0.16/15.78  % Result found by G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.16/15.78  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/15.78  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/15.78  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/15.78  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/15.78  % No SInE strategy applied
% 0.16/15.78  % Search class: FGUSF-FFMM22-SFFFFFNN
% 0.16/15.78  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/15.78  % Starting SubtermCWHack with 136s (1) cores
% 0.16/15.78  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.16/15.78  % Starting G-E--_107_B42_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.16/15.78  % Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.16/15.78  % Preprocessing time       : 0.002 s
% 0.16/15.78  % Presaturation interreduction done
% 0.16/15.78  
% 0.16/15.78  % Proof found!
% 0.16/15.78  % SZS status Theorem
% 0.16/15.78  % SZS output start CNFRefutation
% See solution above
% 0.16/15.78  % Parsed axioms                        : 41
% 0.16/15.78  % Removed by relevancy pruning/SinE    : 0
% 0.16/15.78  % Initial clauses                      : 80
% 0.16/15.78  % Removed in clause preprocessing      : 3
% 0.16/15.78  % Initial clauses in saturation        : 77
% 0.16/15.78  % Processed clauses                    : 2635
% 0.16/15.78  % ...of these trivial                  : 90
% 0.16/15.78  % ...subsumed                          : 1326
% 0.16/15.78  % ...remaining for further processing  : 1219
% 0.16/15.78  % Other redundant clauses eliminated   : 229
% 0.16/15.78  % Clauses deleted for lack of memory   : 0
% 0.16/15.78  % Backward-subsumed                    : 197
% 0.16/15.78  % Backward-rewritten                   : 119
% 0.16/15.78  % Generated clauses                    : 14940
% 0.16/15.78  % ...of the previous two non-redundant : 13465
% 0.16/15.78  % ...aggressively subsumed             : 0
% 0.16/15.78  % Contextual simplify-reflections      : 62
% 0.16/15.78  % Paramodulations                      : 14678
% 0.16/15.78  % Factorizations                       : 0
% 0.16/15.78  % NegExts                              : 0
% 0.16/15.78  % Equation resolutions                 : 260
% 0.16/15.78  % Disequality decompositions           : 0
% 0.16/15.78  % Total rewrite steps                  : 16922
% 0.16/15.78  % ...of those cached                   : 16754
% 0.16/15.78  % Propositional unsat checks           : 0
% 0.16/15.78  %    Propositional check models        : 0
% 0.16/15.78  %    Propositional check unsatisfiable : 0
% 0.16/15.78  %    Propositional clauses             : 0
% 0.16/15.78  %    Propositional clauses after purity: 0
% 0.16/15.78  %    Propositional unsat core size     : 0
% 0.16/15.78  %    Propositional preprocessing time  : 0.000
% 0.16/15.78  %    Propositional encoding time       : 0.000
% 0.16/15.78  %    Propositional solver time         : 0.000
% 0.16/15.78  %    Success case prop preproc time    : 0.000
% 0.16/15.78  %    Success case prop encoding time   : 0.000
% 0.16/15.78  %    Success case prop solver time     : 0.000
% 0.16/15.78  % Current number of processed clauses  : 820
% 0.16/15.78  %    Positive orientable unit clauses  : 182
% 0.16/15.78  %    Positive unorientable unit clauses: 0
% 0.16/15.78  %    Negative unit clauses             : 69
% 0.16/15.78  %    Non-unit-clauses                  : 569
% 0.16/15.78  % Current number of unprocessed clauses: 10624
% 0.16/15.78  % ...number of literals in the above   : 48441
% 0.16/15.78  % Current number of archived formulas  : 0
% 0.16/15.78  % Current number of archived clauses   : 390
% 0.16/15.78  % Clause-clause subsumption calls (NU) : 40003
% 0.16/15.78  % Rec. Clause-clause subsumption calls : 20860
% 0.16/15.78  % Non-unit clause-clause subsumptions  : 1198
% 0.16/15.78  % Unit Clause-clause subsumption calls : 6276
% 0.16/15.78  % Rewrite failures with RHS unbound    : 0
% 0.16/15.78  % BW rewrite match attempts            : 46
% 0.16/15.78  % BW rewrite match successes           : 44
% 0.16/15.78  % Condensation attempts                : 0
% 0.16/15.78  % Condensation successes               : 0
% 0.16/15.78  % Termbank termtop insertions          : 255466
% 0.16/15.78  % Search garbage collected termcells   : 1055
% 0.16/15.78  
% 0.16/15.78  % -------------------------------------------------
% 0.16/15.78  % User time                : 0.248 s
% 0.16/15.78  % System time              : 0.014 s
% 0.16/15.78  % Total time               : 0.262 s
% 0.16/15.78  % Maximum resident set size: 3932 pages
% 0.16/15.78  
% 0.16/15.78  % -------------------------------------------------
% 0.16/15.78  % User time                : 1.230 s
% 0.16/15.78  % System time              : 0.063 s
% 0.16/15.78  % Total time               : 1.293 s
% 0.16/15.78  % Maximum resident set size: 4864 pages
% 0.16/15.78  % E exiting
%------------------------------------------------------------------------------