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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : NUM487+1 : 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 : n003.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 01:49:16 PM UTC 2026

% Result   : Theorem 0.23s 0.65s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   62 (  15 unt;   0 def)
%            Number of atoms       :  247 (  81 equ)
%            Maximal formula atoms :   32 (   3 avg)
%            Number of connectives :  308 ( 123   ~; 125   |;  40   &)
%                                         (   4 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   77 (   0 sgn  43   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ( sdtlseqdt0(xr,xn)
    & xr != xn ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(mDefPrime,axiom,
    ! [X1] :
      ( aNaturalNumber0(X1)
     => ( isPrime0(X1)
      <=> ( ! [X2] :
              ( ( doDivides0(X2,X1)
                & aNaturalNumber0(X2) )
             => ( X2 = X1
                | X2 = sz10 ) )
          & X1 != sz10
          & X1 != sz00 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrime) ).

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

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

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

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

fof(m__1883,hypothesis,
    xr = sdtmndt0(xn,xp),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1883) ).

fof(m__1870,hypothesis,
    sdtlseqdt0(xp,xn),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).

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

fof(m__1860,hypothesis,
    ( doDivides0(xp,sdtasdt0(xn,xm))
    & isPrime0(xp) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).

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

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

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

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

fof(c_0_15,negated_conjecture,
    ~ ( sdtlseqdt0(xr,xn)
      & xr != xn ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_16,plain,
    ! [X1] :
      ( aNaturalNumber0(X1)
     => ( isPrime0(X1)
      <=> ( ! [X2] :
              ( ( doDivides0(X2,X1)
                & aNaturalNumber0(X2) )
             => ( X2 = X1
                | X2 = sz10 ) )
          & X1 != sz10
          & X1 != sz00 ) ) ),
    inference(fof_simplification,[status(thm)],[mDefPrime]) ).

fof(c_0_17,negated_conjecture,
    ~ ( sdtlseqdt0(xr,xn)
      & xr != xn ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_18,plain,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1) )
     => ( ( sdtlseqdt0(X2,X1)
          & X2 != X1 )
        | sdtlseqdt0(X1,X2) ) ),
    inference(fof_simplification,[status(thm)],[mLETotal]) ).

fof(c_0_19,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])])])]) ).

fof(c_0_20,plain,
    ! [X14] :
      ( ( ~ aNaturalNumber0(X14)
        | X14 = sdtpldt0(sz00,X14) )
      & ( ~ aNaturalNumber0(X14)
        | sdtpldt0(X14,sz00) = X14 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_AddZero])])])]) ).

fof(c_0_21,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])])])])]) ).

fof(c_0_22,plain,
    ! [X84,X85] :
      ( ( ~ aNaturalNumber0(X84)
        | isPrime0(X84)
        | X84 = sz10
        | X84 = sz00
        | esk3_1(X84) != X84 )
      & ( ~ aNaturalNumber0(X84)
        | isPrime0(X84)
        | X84 = sz10
        | X84 = sz00
        | esk3_1(X84) != sz10 )
      & ( ~ aNaturalNumber0(X84)
        | isPrime0(X84)
        | X84 = sz10
        | X84 = sz00
        | doDivides0(esk3_1(X84),X84) )
      & ( ~ aNaturalNumber0(X84)
        | isPrime0(X84)
        | X84 = sz10
        | X84 = sz00
        | aNaturalNumber0(esk3_1(X84)) )
      & ( ~ aNaturalNumber0(X84)
        | ~ isPrime0(X84)
        | X85 = X84
        | X85 = sz10
        | ~ doDivides0(X85,X84)
        | ~ aNaturalNumber0(X85) )
      & ( ~ aNaturalNumber0(X84)
        | ~ isPrime0(X84)
        | X84 != sz10 )
      & ( ~ aNaturalNumber0(X84)
        | ~ isPrime0(X84)
        | X84 != sz00 ) ),
    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)],[c_0_16])])])])])]) ).

fof(c_0_23,negated_conjecture,
    ( ~ sdtlseqdt0(xr,xn)
    | xr = xn ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])]) ).

fof(c_0_24,plain,
    ! [X48,X49] :
      ( ( ~ aNaturalNumber0(X49)
        | ~ aNaturalNumber0(X48)
        | sdtlseqdt0(X48,X49)
        | sdtlseqdt0(X49,X48) )
      & ( ~ aNaturalNumber0(X49)
        | ~ aNaturalNumber0(X48)
        | sdtlseqdt0(X48,X49)
        | X49 != X48 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).

cnf(c_0_25,plain,
    ( ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | sdtpldt0(X1,X2) != sdtpldt0(X3,X2)
    | X1 = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_26,plain,
    ( ~ aNaturalNumber0(X1)
    | X1 = sdtpldt0(sz00,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_27,plain,
    aNaturalNumber0(sz00),
    inference(split_conjunct,[status(thm)],[mSortsC]) ).

cnf(c_0_28,plain,
    ( ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X1,X3)
    | X2 != sdtmndt0(X3,X1)
    | sdtpldt0(X1,X2) = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_29,hypothesis,
    xr = sdtmndt0(xn,xp),
    inference(split_conjunct,[status(thm)],[m__1883]) ).

cnf(c_0_30,hypothesis,
    sdtlseqdt0(xp,xn),
    inference(split_conjunct,[status(thm)],[m__1870]) ).

cnf(c_0_31,hypothesis,
    aNaturalNumber0(xn),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_32,hypothesis,
    aNaturalNumber0(xp),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_33,plain,
    ( ~ aNaturalNumber0(X1)
    | ~ isPrime0(X1)
    | X1 != sz00 ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_34,hypothesis,
    isPrime0(xp),
    inference(split_conjunct,[status(thm)],[m__1860]) ).

cnf(c_0_35,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ sdtlseqdt0(X3,X2)
    | X1 != sdtmndt0(X2,X3)
    | aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ sdtlseqdt0(xr,xn)
    | xr = xn ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_37,plain,
    ( ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | sdtlseqdt0(X2,X1)
    | sdtlseqdt0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_38,plain,
    ( ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | sdtpldt0(X1,X2) != X2
    | X1 = sz00 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).

cnf(c_0_39,hypothesis,
    ( X1 != xr
    | sdtpldt0(xp,X1) = xn ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31]),c_0_32])]) ).

cnf(c_0_40,hypothesis,
    xp != sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_32])]) ).

cnf(c_0_41,hypothesis,
    ( X1 != xr
    | aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_29]),c_0_30]),c_0_32]),c_0_31])]) ).

cnf(c_0_42,negated_conjecture,
    ( ~ aNaturalNumber0(xr)
    | sdtlseqdt0(xn,xr)
    | xr = xn ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_31])]) ).

cnf(c_0_43,hypothesis,
    ( X1 != xr
    | xn != X1 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_32])]),c_0_40]),c_0_41]) ).

fof(c_0_44,plain,
    ! [X35,X36,X38] :
      ( ( ~ aNaturalNumber0(X36)
        | ~ aNaturalNumber0(X35)
        | sdtlseqdt0(X35,X36)
        | sdtpldt0(X35,X38) != X36
        | ~ aNaturalNumber0(X38) )
      & ( ~ aNaturalNumber0(X36)
        | ~ aNaturalNumber0(X35)
        | ~ sdtlseqdt0(X35,X36)
        | sdtpldt0(X35,esk1_2(X35,X36)) = X36 )
      & ( ~ aNaturalNumber0(X36)
        | ~ aNaturalNumber0(X35)
        | ~ sdtlseqdt0(X35,X36)
        | aNaturalNumber0(esk1_2(X35,X36)) ) ),
    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)],[mDefLE])])])])])]) ).

fof(c_0_45,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])])]) ).

fof(c_0_46,plain,
    ! [X9,X10] :
      ( sdtpldt0(X9,X10) = sdtpldt0(X10,X9)
      | ~ aNaturalNumber0(X10)
      | ~ aNaturalNumber0(X9) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])])]) ).

fof(c_0_47,plain,
    ! [X43,X44] :
      ( X43 = X44
      | ~ sdtlseqdt0(X44,X43)
      | ~ sdtlseqdt0(X43,X44)
      | ~ aNaturalNumber0(X44)
      | ~ aNaturalNumber0(X43) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEAsym])])]) ).

cnf(c_0_48,negated_conjecture,
    ( sdtlseqdt0(xn,xr)
    | xr = xn ),
    inference(spm,[status(thm)],[c_0_42,c_0_41]) ).

cnf(c_0_49,hypothesis,
    xr != xn,
    inference(er,[status(thm)],[c_0_43]) ).

cnf(c_0_50,plain,
    ( ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ sdtlseqdt0(X2,X1)
    | aNaturalNumber0(sdtmndt0(X1,X2)) ),
    inference(er,[status(thm)],[c_0_35]) ).

cnf(c_0_51,plain,
    ( ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | sdtpldt0(X2,X1) != X3
    | ~ aNaturalNumber0(X1)
    | sdtlseqdt0(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_52,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | aNaturalNumber0(sdtpldt0(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_53,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_54,plain,
    ( ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_55,negated_conjecture,
    sdtlseqdt0(xn,xr),
    inference(sr,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_56,hypothesis,
    aNaturalNumber0(xr),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_29]),c_0_30]),c_0_32]),c_0_31])]) ).

cnf(c_0_57,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | sdtlseqdt0(X1,sdtpldt0(X1,X2)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_51]),c_0_52]) ).

cnf(c_0_58,hypothesis,
    ( X1 != xr
    | sdtpldt0(X1,xp) = xn ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_39]),c_0_32])]),c_0_41]) ).

cnf(c_0_59,negated_conjecture,
    ~ sdtlseqdt0(xr,xn),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_31]),c_0_56])]),c_0_49]) ).

cnf(c_0_60,hypothesis,
    ( X1 != xr
    | sdtlseqdt0(X1,xn) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_32])]),c_0_41]) ).

cnf(c_0_61,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_59,c_0_60]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : NUM487+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.45  % Computer : n003.cluster.edu
% 0.19/0.45  % Model    : x86_64 x86_64
% 0.19/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45  % Memory   : 8046.5625MB
% 0.19/0.45  % OS       : Linux 6.8.0-71-generic
% 0.19/0.45  % CPULimit : 300
% 0.19/0.46  % WCLimit  : 300
% 0.19/0.46  % DateTime : Mon Sep 21 02:35:30 UTC 2026
% 0.19/0.46  % CPUTime  : 
% 0.19/0.46  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.54  Running first-order theorem proving
% 0.23/0.54  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
% 0.23/0.65  % Version: 3.5.1
% 0.23/0.65  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.65  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.65  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.65  % Starting new_bool_3 with 300s (1) cores
% 0.23/0.65  % Starting new_bool_1 with 300s (1) cores
% 0.23/0.65  % Starting sh5l with 300s (1) cores
% 0.23/0.65  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3217914 completed with status 0
% 0.23/0.65  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.23/0.65  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.65  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.65  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.65  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.65  % No SInE strategy applied
% 0.23/0.65  % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.23/0.65  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.65  % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.65  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.23/0.65  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 0.23/0.65  % Starting G-E--_208_C18_F1_AE_CS_SP_PS_S3S with 136s (1) cores
% 0.23/0.65  % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S with 136s (1) cores
% 0.23/0.65  % G-E--_208_C18_F1_AE_CS_SP_PS_S3S with pid 3217922 completed with status 0
% 0.23/0.65  % Result found by G-E--_208_C18_F1_AE_CS_SP_PS_S3S
% 0.23/0.65  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/0.65  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.65  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/0.65  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.65  % No SInE strategy applied
% 0.23/0.65  % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.23/0.65  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.65  % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.65  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.23/0.65  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 0.23/0.65  % Starting G-E--_208_C18_F1_AE_CS_SP_PS_S3S with 136s (1) cores
% 0.23/0.65  % Preprocessing time       : 0.002 s
% 0.23/0.65  % Presaturation interreduction done
% 0.23/0.65  
% 0.23/0.65  % Proof found!
% 0.23/0.65  % SZS status Theorem
% 0.23/0.65  % SZS output start CNFRefutation
% See solution above
% 0.23/0.65  % Parsed axioms                        : 44
% 0.23/0.65  % Removed by relevancy pruning/SinE    : 0
% 0.23/0.65  % Initial clauses                      : 79
% 0.23/0.65  % Removed in clause preprocessing      : 3
% 0.23/0.65  % Initial clauses in saturation        : 76
% 0.23/0.65  % Processed clauses                    : 706
% 0.23/0.65  % ...of these trivial                  : 9
% 0.23/0.65  % ...subsumed                          : 321
% 0.23/0.65  % ...remaining for further processing  : 376
% 0.23/0.65  % Other redundant clauses eliminated   : 20
% 0.23/0.65  % Clauses deleted for lack of memory   : 0
% 0.23/0.65  % Backward-subsumed                    : 66
% 0.23/0.65  % Backward-rewritten                   : 3
% 0.23/0.65  % Generated clauses                    : 1750
% 0.23/0.65  % ...of the previous two non-redundant : 1489
% 0.23/0.65  % ...aggressively subsumed             : 0
% 0.23/0.65  % Contextual simplify-reflections      : 18
% 0.23/0.65  % Paramodulations                      : 1688
% 0.23/0.65  % Factorizations                       : 4
% 0.23/0.65  % NegExts                              : 0
% 0.23/0.65  % Equation resolutions                 : 41
% 0.23/0.65  % Disequality decompositions           : 0
% 0.23/0.65  % Total rewrite steps                  : 1544
% 0.23/0.65  % ...of those cached                   : 1522
% 0.23/0.65  % Propositional unsat checks           : 0
% 0.23/0.65  %    Propositional check models        : 0
% 0.23/0.65  %    Propositional check unsatisfiable : 0
% 0.23/0.65  %    Propositional clauses             : 0
% 0.23/0.65  %    Propositional clauses after purity: 0
% 0.23/0.65  %    Propositional unsat core size     : 0
% 0.23/0.65  %    Propositional preprocessing time  : 0.000
% 0.23/0.65  %    Propositional encoding time       : 0.000
% 0.23/0.65  %    Propositional solver time         : 0.000
% 0.23/0.65  %    Success case prop preproc time    : 0.000
% 0.23/0.65  %    Success case prop encoding time   : 0.000
% 0.23/0.65  %    Success case prop solver time     : 0.000
% 0.23/0.65  % Current number of processed clauses  : 218
% 0.23/0.65  %    Positive orientable unit clauses  : 26
% 0.23/0.65  %    Positive unorientable unit clauses: 0
% 0.23/0.65  %    Negative unit clauses             : 12
% 0.23/0.65  %    Non-unit-clauses                  : 180
% 0.23/0.65  % Current number of unprocessed clauses: 877
% 0.23/0.65  % ...number of literals in the above   : 4565
% 0.23/0.65  % Current number of archived formulas  : 0
% 0.23/0.65  % Current number of archived clauses   : 157
% 0.23/0.65  % Clause-clause subsumption calls (NU) : 13925
% 0.23/0.65  % Rec. Clause-clause subsumption calls : 5389
% 0.23/0.65  % Non-unit clause-clause subsumptions  : 350
% 0.23/0.65  % Unit Clause-clause subsumption calls : 1214
% 0.23/0.65  % Rewrite failures with RHS unbound    : 0
% 0.23/0.65  % BW rewrite match attempts            : 2
% 0.23/0.65  % BW rewrite match successes           : 2
% 0.23/0.65  % Condensation attempts                : 0
% 0.23/0.65  % Condensation successes               : 0
% 0.23/0.65  % Termbank termtop insertions          : 36128
% 0.23/0.65  % Search garbage collected termcells   : 1359
% 0.23/0.65  
% 0.23/0.65  % -------------------------------------------------
% 0.23/0.65  % User time                : 0.066 s
% 0.23/0.65  % System time              : 0.006 s
% 0.23/0.65  % Total time               : 0.072 s
% 0.23/0.65  % Maximum resident set size: 3428 pages
% 0.23/0.65  
% 0.23/0.65  % -------------------------------------------------
% 0.23/0.65  % User time                : 0.275 s
% 0.23/0.65  % System time              : 0.028 s
% 0.23/0.65  % Total time               : 0.303 s
% 0.23/0.65  % Maximum resident set size: 4608 pages
% 0.23/0.65  % E exiting
%------------------------------------------------------------------------------