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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : NUM474+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 : n014.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 0.12s 0.46s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   66 (  33 unt;   0 def)
%            Number of atoms       :  205 (  63 equ)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :  244 ( 105   ~; 100   |;  25   &)
%                                         (   4 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    4 (   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   :   66 (   0 sgn  34   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
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(m__1347,hypothesis,
    xl != sz00,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1347) ).

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__,conjecture,
    sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) = sdtpldt0(sdtasdt0(xl,xp),xn),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

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

fof(m__1379,hypothesis,
    xq = sdtsldt0(sdtpldt0(xm,xn),xl),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1379) ).

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

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

fof(m__1395,hypothesis,
    sdtlseqdt0(xp,xq),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1395) ).

fof(m__1422,hypothesis,
    xr = sdtmndt0(xq,xp),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1422) ).

fof(m__1360,hypothesis,
    xp = sdtsldt0(xm,xl),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1360) ).

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(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/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).

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

fof(c_0_14,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_15,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_14])])])])]) ).

fof(c_0_16,hypothesis,
    xl != sz00,
    inference(fof_simplification,[status(thm)],[m__1347]) ).

fof(c_0_17,plain,
    ! [X39,X40,X41] :
      ( ( ~ aNaturalNumber0(X40)
        | ~ aNaturalNumber0(X39)
        | ~ sdtlseqdt0(X39,X40)
        | X41 = sdtmndt0(X40,X39)
        | sdtpldt0(X39,X41) != X40
        | ~ aNaturalNumber0(X41) )
      & ( ~ aNaturalNumber0(X40)
        | ~ aNaturalNumber0(X39)
        | ~ sdtlseqdt0(X39,X40)
        | X41 != sdtmndt0(X40,X39)
        | sdtpldt0(X39,X41) = X40 )
      & ( ~ aNaturalNumber0(X40)
        | ~ aNaturalNumber0(X39)
        | ~ sdtlseqdt0(X39,X40)
        | X41 != sdtmndt0(X40,X39)
        | aNaturalNumber0(X41) ) ),
    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_18,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ doDivides0(X3,X2)
    | X1 != sdtsldt0(X2,X3)
    | X3 = sz00
    | aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_19,hypothesis,
    xl != sz00,
    inference(fof_nnf,[status(thm)],[c_0_16]) ).

cnf(c_0_20,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ sdtlseqdt0(X3,X2)
    | X1 != sdtmndt0(X2,X3)
    | aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_21,negated_conjecture,
    sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_22,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ doDivides0(X1,X2)
    | aNaturalNumber0(sdtsldt0(X2,X1))
    | X1 = sz00 ),
    inference(er,[status(thm)],[c_0_18]) ).

cnf(c_0_23,hypothesis,
    doDivides0(xl,sdtpldt0(xm,xn)),
    inference(split_conjunct,[status(thm)],[m__1324_04]) ).

cnf(c_0_24,hypothesis,
    xq = sdtsldt0(sdtpldt0(xm,xn),xl),
    inference(split_conjunct,[status(thm)],[m__1379]) ).

cnf(c_0_25,hypothesis,
    aNaturalNumber0(xl),
    inference(split_conjunct,[status(thm)],[m__1324]) ).

cnf(c_0_26,hypothesis,
    xl != sz00,
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_27,plain,
    ! [X5,X6] :
      ( aNaturalNumber0(sdtpldt0(X5,X6))
      | ~ aNaturalNumber0(X6)
      | ~ aNaturalNumber0(X5) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])])]) ).

cnf(c_0_28,plain,
    ( ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ sdtlseqdt0(X2,X1)
    | aNaturalNumber0(sdtmndt0(X1,X2)) ),
    inference(er,[status(thm)],[c_0_20]) ).

cnf(c_0_29,hypothesis,
    sdtlseqdt0(xp,xq),
    inference(split_conjunct,[status(thm)],[m__1395]) ).

cnf(c_0_30,hypothesis,
    xr = sdtmndt0(xq,xp),
    inference(split_conjunct,[status(thm)],[m__1422]) ).

cnf(c_0_31,hypothesis,
    doDivides0(xl,xm),
    inference(split_conjunct,[status(thm)],[m__1324_04]) ).

cnf(c_0_32,hypothesis,
    xp = sdtsldt0(xm,xl),
    inference(split_conjunct,[status(thm)],[m__1360]) ).

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

fof(c_0_34,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_35,negated_conjecture,
    sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

cnf(c_0_36,plain,
    ( ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X1,X3)
    | X2 != sdtmndt0(X3,X1)
    | sdtpldt0(X1,X2) = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_37,hypothesis,
    ( ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | aNaturalNumber0(xq) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25])]),c_0_26]) ).

cnf(c_0_38,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | aNaturalNumber0(sdtpldt0(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_39,hypothesis,
    aNaturalNumber0(xn),
    inference(split_conjunct,[status(thm)],[m__1324]) ).

cnf(c_0_40,hypothesis,
    ( ~ aNaturalNumber0(xq)
    | ~ aNaturalNumber0(xp)
    | aNaturalNumber0(xr) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).

cnf(c_0_41,hypothesis,
    aNaturalNumber0(xp),
    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_22,c_0_31]),c_0_32]),c_0_25]),c_0_33])]),c_0_26]) ).

cnf(c_0_42,plain,
    ( ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X2,X1)
    | X1 = sdtasdt0(X2,esk2_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_43,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ doDivides0(X1,X2)
    | aNaturalNumber0(esk2_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

fof(c_0_44,negated_conjecture,
    sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
    inference(fof_nnf,[status(thm)],[c_0_35]) ).

fof(c_0_45,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_46,plain,
    ( ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ sdtlseqdt0(X1,X2)
    | sdtpldt0(X1,sdtmndt0(X2,X1)) = X2 ),
    inference(er,[status(thm)],[c_0_36]) ).

cnf(c_0_47,hypothesis,
    aNaturalNumber0(xq),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_33])]) ).

cnf(c_0_48,hypothesis,
    ( ~ aNaturalNumber0(xq)
    | aNaturalNumber0(xr) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41])]) ).

cnf(c_0_49,plain,
    ( ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X2,X1)
    | X3 != sdtsldt0(X1,X2)
    | X2 = sz00
    | X1 = sdtasdt0(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_50,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_51,hypothesis,
    ( ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | sdtasdt0(xl,esk2_2(xl,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_23]),c_0_25])]) ).

cnf(c_0_52,hypothesis,
    ( ~ aNaturalNumber0(sdtpldt0(xm,xn))
    | aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_23]),c_0_25])]) ).

cnf(c_0_53,negated_conjecture,
    sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_54,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_45]) ).

cnf(c_0_55,hypothesis,
    sdtpldt0(xp,xr) = xq,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_29]),c_0_30]),c_0_47]),c_0_41])]) ).

cnf(c_0_56,hypothesis,
    aNaturalNumber0(xr),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_47])]) ).

cnf(c_0_57,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ doDivides0(X1,X2)
    | X1 = sz00
    | sdtasdt0(X1,sdtsldt0(X2,X1)) = X2 ),
    inference(er,[status(thm)],[c_0_49]) ).

cnf(c_0_58,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | aNaturalNumber0(sdtasdt0(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_59,hypothesis,
    sdtasdt0(xl,esk2_2(xl,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_38]),c_0_39]),c_0_33])]) ).

cnf(c_0_60,hypothesis,
    aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_38]),c_0_39]),c_0_33])]) ).

cnf(c_0_61,negated_conjecture,
    sdtpldt0(sdtasdt0(xl,xp),xn) != sdtasdt0(xl,xq),
    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_53,c_0_54]),c_0_55]),c_0_56]),c_0_41]),c_0_25])]) ).

cnf(c_0_62,hypothesis,
    sdtasdt0(xl,xp) = xm,
    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_57,c_0_31]),c_0_32]),c_0_25]),c_0_33])]),c_0_26]) ).

cnf(c_0_63,hypothesis,
    aNaturalNumber0(sdtpldt0(xm,xn)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_25])]),c_0_60])]) ).

cnf(c_0_64,negated_conjecture,
    sdtpldt0(xm,xn) != sdtasdt0(xl,xq),
    inference(rw,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_65,hypothesis,
    $false,
    inference(sr,[status(thm)],[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_57,c_0_23]),c_0_24]),c_0_25]),c_0_63])]),c_0_26]),c_0_64]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NUM474+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37  % Computer : n014.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Mon Sep 21 02:33:04 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41  Running first-order theorem proving
% 0.12/0.41  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
% 0.12/0.46  % Version: 3.5.1
% 0.12/0.46  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.12/0.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.46  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.12/0.46  % Starting new_bool_3 with 300s (1) cores
% 0.12/0.46  % Starting new_bool_1 with 300s (1) cores
% 0.12/0.46  % Starting sh5l with 300s (1) cores
% 0.12/0.46  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2953307 completed with status 0
% 0.12/0.46  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.12/0.46  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.12/0.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.46  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.12/0.46  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.46  % No SInE strategy applied
% 0.12/0.46  % Search class: FGUSF-FFMM22-SFFFFFNN
% 0.12/0.46  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.46  % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.46  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.12/0.46  % Starting G-E--_107_B42_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.12/0.46  % Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.12/0.46  % Starting new_bool_3 with 136s (1) cores
% 0.12/0.46  % new_bool_3 with pid 2953318 completed with status 0
% 0.12/0.46  % Result found by new_bool_3
% 0.12/0.46  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.12/0.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.46  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.12/0.46  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.46  % No SInE strategy applied
% 0.12/0.46  % Search class: FGUSF-FFMM22-SFFFFFNN
% 0.12/0.46  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.46  % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.46  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.12/0.46  % Starting G-E--_107_B42_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.12/0.46  % Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.12/0.46  % Starting new_bool_3 with 136s (1) cores
% 0.12/0.46  % Preprocessing time       : 0.002 s
% 0.12/0.46  % Presaturation interreduction done
% 0.12/0.46  
% 0.12/0.46  % Proof found!
% 0.12/0.46  % SZS status Theorem
% 0.12/0.46  % SZS output start CNFRefutation
% See solution above
% 0.12/0.46  % Parsed axioms                        : 41
% 0.12/0.46  % Removed by relevancy pruning/SinE    : 0
% 0.12/0.46  % Initial clauses                      : 68
% 0.12/0.46  % Removed in clause preprocessing      : 3
% 0.12/0.46  % Initial clauses in saturation        : 65
% 0.12/0.46  % Processed clauses                    : 238
% 0.12/0.46  % ...of these trivial                  : 2
% 0.12/0.46  % ...subsumed                          : 54
% 0.12/0.46  % ...remaining for further processing  : 181
% 0.12/0.46  % Other redundant clauses eliminated   : 17
% 0.12/0.46  % Clauses deleted for lack of memory   : 0
% 0.12/0.46  % Backward-subsumed                    : 1
% 0.12/0.46  % Backward-rewritten                   : 14
% 0.12/0.46  % Generated clauses                    : 384
% 0.12/0.46  % ...of the previous two non-redundant : 354
% 0.12/0.46  % ...aggressively subsumed             : 0
% 0.12/0.46  % Contextual simplify-reflections      : 6
% 0.12/0.46  % Paramodulations                      : 361
% 0.12/0.46  % Factorizations                       : 2
% 0.12/0.46  % NegExts                              : 0
% 0.12/0.46  % Equation resolutions                 : 21
% 0.12/0.46  % Disequality decompositions           : 0
% 0.12/0.46  % Total rewrite steps                  : 348
% 0.12/0.46  % ...of those cached                   : 327
% 0.12/0.46  % Propositional unsat checks           : 0
% 0.12/0.46  %    Propositional check models        : 0
% 0.12/0.46  %    Propositional check unsatisfiable : 0
% 0.12/0.46  %    Propositional clauses             : 0
% 0.12/0.46  %    Propositional clauses after purity: 0
% 0.12/0.46  %    Propositional unsat core size     : 0
% 0.12/0.46  %    Propositional preprocessing time  : 0.000
% 0.12/0.46  %    Propositional encoding time       : 0.000
% 0.12/0.46  %    Propositional solver time         : 0.000
% 0.12/0.46  %    Success case prop preproc time    : 0.000
% 0.12/0.46  %    Success case prop encoding time   : 0.000
% 0.12/0.46  %    Success case prop solver time     : 0.000
% 0.12/0.46  % Current number of processed clauses  : 97
% 0.12/0.46  %    Positive orientable unit clauses  : 21
% 0.12/0.46  %    Positive unorientable unit clauses: 0
% 0.12/0.46  %    Negative unit clauses             : 5
% 0.12/0.46  %    Non-unit-clauses                  : 71
% 0.12/0.46  % Current number of unprocessed clauses: 241
% 0.12/0.46  % ...number of literals in the above   : 1017
% 0.12/0.46  % Current number of archived formulas  : 0
% 0.12/0.46  % Current number of archived clauses   : 75
% 0.12/0.46  % Clause-clause subsumption calls (NU) : 913
% 0.12/0.46  % Rec. Clause-clause subsumption calls : 382
% 0.12/0.46  % Non-unit clause-clause subsumptions  : 59
% 0.12/0.46  % Unit Clause-clause subsumption calls : 78
% 0.12/0.46  % Rewrite failures with RHS unbound    : 0
% 0.12/0.46  % BW rewrite match attempts            : 6
% 0.12/0.46  % BW rewrite match successes           : 6
% 0.12/0.46  % Condensation attempts                : 0
% 0.12/0.46  % Condensation successes               : 0
% 0.12/0.46  % Termbank termtop insertions          : 11399
% 0.12/0.46  % Search garbage collected termcells   : 1039
% 0.12/0.46  
% 0.12/0.46  % -------------------------------------------------
% 0.12/0.46  % User time                : 0.023 s
% 0.12/0.46  % System time              : 0.004 s
% 0.12/0.46  % Total time               : 0.027 s
% 0.12/0.46  % Maximum resident set size: 3672 pages
% 0.12/0.46  
% 0.12/0.46  % -------------------------------------------------
% 0.12/0.46  % User time                : 0.106 s
% 0.12/0.46  % System time              : 0.010 s
% 0.12/0.46  % Total time               : 0.117 s
% 0.12/0.46  % Maximum resident set size: 4608 pages
% 0.12/0.46  % E exiting
%------------------------------------------------------------------------------