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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : NUM492+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 : n007.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 01:49:17 PM UTC 2026

% Result   : Theorem 0.71s 0.52s
% Output   : CNFRefutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   64 (  29 unt;   0 def)
%            Number of atoms       :  183 (  28 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  210 (  91   ~;  85   |;  22   &)
%                                         (   3 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   60 (   0 sgn  34   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
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(m__2001,hypothesis,
    ( doDivides0(xp,sdtasdt0(xp,xm))
    & doDivides0(xp,sdtasdt0(xn,xm)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2001) ).

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

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

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

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(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(m__1951,hypothesis,
    sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1951) ).

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

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

fof(m__,conjecture,
    doDivides0(xp,sdtasdt0(xr,xm)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

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

fof(mDivMin,axiom,
    ! [X1,X2,X3] :
      ( ( aNaturalNumber0(X3)
        & aNaturalNumber0(X2)
        & aNaturalNumber0(X1) )
     => ( ( doDivides0(X1,sdtpldt0(X2,X3))
          & doDivides0(X1,X2) )
       => doDivides0(X1,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivMin) ).

fof(m__1978,hypothesis,
    sdtasdt0(xr,xm) = sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1978) ).

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

fof(c_0_15,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])])])])])]) ).

cnf(c_0_16,plain,
    ( ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ doDivides0(X2,X1)
    | X1 = sdtasdt0(X2,esk2_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_17,hypothesis,
    doDivides0(xp,sdtasdt0(xp,xm)),
    inference(split_conjunct,[status(thm)],[m__2001]) ).

cnf(c_0_18,hypothesis,
    aNaturalNumber0(xp),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

fof(c_0_19,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_20,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ doDivides0(X1,X2)
    | aNaturalNumber0(esk2_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_21,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_22,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_23,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])])])])])]) ).

cnf(c_0_24,hypothesis,
    ( ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | sdtasdt0(xp,esk2_2(xp,sdtasdt0(xp,xm))) = sdtasdt0(xp,xm) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).

cnf(c_0_25,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | aNaturalNumber0(sdtasdt0(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_26,hypothesis,
    aNaturalNumber0(xm),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_27,hypothesis,
    ( ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | aNaturalNumber0(esk2_2(xp,sdtasdt0(xp,xm))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_17]),c_0_18])]) ).

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

cnf(c_0_29,hypothesis,
    sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
    inference(split_conjunct,[status(thm)],[m__1951]) ).

cnf(c_0_30,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ sdtlseqdt0(X3,X2)
    | X1 != sdtmndt0(X2,X3)
    | aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_31,plain,
    ( ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | sdtpldt0(X2,X1) != X3
    | ~ aNaturalNumber0(X1)
    | sdtlseqdt0(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_32,hypothesis,
    sdtasdt0(xp,esk2_2(xp,sdtasdt0(xp,xm))) = sdtasdt0(xp,xm),
    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_18])]) ).

cnf(c_0_33,hypothesis,
    aNaturalNumber0(esk2_2(xp,sdtasdt0(xp,xm))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_25]),c_0_26]),c_0_18])]) ).

cnf(c_0_34,hypothesis,
    ( ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | ~ aNaturalNumber0(sdtasdt0(xr,xm))
    | aNaturalNumber0(sdtasdt0(xn,xm)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_35,plain,
    ( ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ sdtlseqdt0(X2,X1)
    | aNaturalNumber0(sdtmndt0(X1,X2)) ),
    inference(er,[status(thm)],[c_0_30]) ).

cnf(c_0_36,hypothesis,
    sdtlseqdt0(xp,xn),
    inference(split_conjunct,[status(thm)],[m__1870]) ).

cnf(c_0_37,hypothesis,
    xr = sdtmndt0(xn,xp),
    inference(split_conjunct,[status(thm)],[m__1883]) ).

cnf(c_0_38,hypothesis,
    aNaturalNumber0(xn),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

fof(c_0_39,negated_conjecture,
    ~ doDivides0(xp,sdtasdt0(xr,xm)),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_40,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | sdtlseqdt0(X1,sdtpldt0(X1,X2)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_31]),c_0_28]) ).

cnf(c_0_41,hypothesis,
    aNaturalNumber0(sdtasdt0(xp,xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_32]),c_0_18])]),c_0_33])]) ).

cnf(c_0_42,hypothesis,
    ( ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | aNaturalNumber0(sdtasdt0(xn,xm)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_25]),c_0_26])]) ).

cnf(c_0_43,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_35,c_0_36]),c_0_37]),c_0_18]),c_0_38])]) ).

fof(c_0_44,negated_conjecture,
    ~ doDivides0(xp,sdtasdt0(xr,xm)),
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

cnf(c_0_45,hypothesis,
    ( ~ aNaturalNumber0(sdtasdt0(xr,xm))
    | sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_29]),c_0_41])]) ).

cnf(c_0_46,hypothesis,
    ( ~ aNaturalNumber0(sdtasdt0(xp,xm))
    | aNaturalNumber0(sdtasdt0(xn,xm)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43])]) ).

fof(c_0_47,negated_conjecture,
    ~ doDivides0(xp,sdtasdt0(xr,xm)),
    inference(fof_nnf,[status(thm)],[c_0_44]) ).

fof(c_0_48,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_49,plain,
    ! [X76,X77,X78] :
      ( doDivides0(X76,X78)
      | ~ doDivides0(X76,sdtpldt0(X77,X78))
      | ~ doDivides0(X76,X77)
      | ~ aNaturalNumber0(X78)
      | ~ aNaturalNumber0(X77)
      | ~ aNaturalNumber0(X76) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivMin])])]) ).

cnf(c_0_50,hypothesis,
    sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_25]),c_0_26]),c_0_43])]) ).

cnf(c_0_51,hypothesis,
    sdtasdt0(xr,xm) = sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
    inference(split_conjunct,[status(thm)],[m__1978]) ).

cnf(c_0_52,hypothesis,
    aNaturalNumber0(sdtasdt0(xn,xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_25]),c_0_26]),c_0_18])]) ).

cnf(c_0_53,negated_conjecture,
    ~ doDivides0(xp,sdtasdt0(xr,xm)),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_54,plain,
    ( ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_55,plain,
    ( ~ doDivides0(X1,sdtpldt0(X2,X3))
    | ~ doDivides0(X1,X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | doDivides0(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_56,hypothesis,
    aNaturalNumber0(sdtasdt0(xr,xm)),
    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_50]),c_0_51]),c_0_41]),c_0_52])]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ aNaturalNumber0(xr)
    | ~ doDivides0(xp,sdtasdt0(xm,xr)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_26])]) ).

cnf(c_0_58,hypothesis,
    ( ~ aNaturalNumber0(X1)
    | ~ doDivides0(xp,sdtpldt0(sdtasdt0(xp,xm),X1))
    | doDivides0(xp,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_17]),c_0_18])]),c_0_41])]) ).

cnf(c_0_59,hypothesis,
    sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xm,xr)) = sdtasdt0(xn,xm),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_54]),c_0_26])]),c_0_43])]) ).

cnf(c_0_60,hypothesis,
    doDivides0(xp,sdtasdt0(xn,xm)),
    inference(split_conjunct,[status(thm)],[m__1860]) ).

cnf(c_0_61,hypothesis,
    aNaturalNumber0(sdtasdt0(xm,xr)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_54]),c_0_26]),c_0_43])]) ).

cnf(c_0_62,negated_conjecture,
    ~ doDivides0(xp,sdtasdt0(xm,xr)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_43])]) ).

cnf(c_0_63,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_61])]),c_0_62]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NUM492+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36  % Computer : n007.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Mon Sep 21 02:32:50 UTC 2026
% 0.11/0.36  % CPUTime  : 
% 0.11/0.36  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39  Running first-order theorem proving
% 0.11/0.39  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
% 0.71/0.52  % Version: 3.5.1
% 0.71/0.52  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.71/0.52  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.71/0.52  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.71/0.52  % Starting new_bool_3 with 300s (1) cores
% 0.71/0.52  % Starting new_bool_1 with 300s (1) cores
% 0.71/0.52  % Starting sh5l with 300s (1) cores
% 0.71/0.52  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 4173909 completed with status 0
% 0.71/0.52  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.71/0.52  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.71/0.52  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.71/0.52  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.71/0.52  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.71/0.52  % No SInE strategy applied
% 0.71/0.52  % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.71/0.52  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.71/0.52  % Starting SubtermCWHack with 136s (1) cores
% 0.71/0.52  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.71/0.52  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 0.71/0.52  % Starting G-E--_208_C18_F1_AE_CS_SP_PS_S3S with 136s (1) cores
% 0.71/0.52  % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S with 136s (1) cores
% 0.71/0.52  % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with pid 4173916 completed with status 0
% 0.71/0.52  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 0.71/0.52  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.71/0.52  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.71/0.52  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.71/0.52  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.71/0.52  % No SInE strategy applied
% 0.71/0.52  % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.71/0.52  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.71/0.52  % Starting SubtermCWHack with 136s (1) cores
% 0.71/0.52  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.71/0.52  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 0.71/0.52  % Preprocessing time       : 0.002 s
% 0.71/0.52  % Presaturation interreduction done
% 0.71/0.52  
% 0.71/0.52  % Proof found!
% 0.71/0.52  % SZS status Theorem
% 0.71/0.52  % SZS output start CNFRefutation
% See solution above
% 0.71/0.52  % Parsed axioms                        : 49
% 0.71/0.52  % Removed by relevancy pruning/SinE    : 0
% 0.71/0.52  % Initial clauses                      : 86
% 0.71/0.52  % Removed in clause preprocessing      : 3
% 0.71/0.52  % Initial clauses in saturation        : 83
% 0.71/0.52  % Processed clauses                    : 996
% 0.71/0.52  % ...of these trivial                  : 48
% 0.71/0.52  % ...subsumed                          : 333
% 0.71/0.52  % ...remaining for further processing  : 615
% 0.71/0.52  % Other redundant clauses eliminated   : 26
% 0.71/0.52  % Clauses deleted for lack of memory   : 0
% 0.71/0.52  % Backward-subsumed                    : 33
% 0.71/0.52  % Backward-rewritten                   : 71
% 0.71/0.52  % Generated clauses                    : 3162
% 0.71/0.52  % ...of the previous two non-redundant : 2617
% 0.71/0.52  % ...aggressively subsumed             : 0
% 0.71/0.52  % Contextual simplify-reflections      : 24
% 0.71/0.52  % Paramodulations                      : 3115
% 0.71/0.52  % Factorizations                       : 4
% 0.71/0.52  % NegExts                              : 0
% 0.71/0.52  % Equation resolutions                 : 32
% 0.71/0.52  % Disequality decompositions           : 0
% 0.71/0.52  % Total rewrite steps                  : 4530
% 0.71/0.52  % ...of those cached                   : 4401
% 0.71/0.52  % Propositional unsat checks           : 0
% 0.71/0.52  %    Propositional check models        : 0
% 0.71/0.52  %    Propositional check unsatisfiable : 0
% 0.71/0.52  %    Propositional clauses             : 0
% 0.71/0.52  %    Propositional clauses after purity: 0
% 0.71/0.52  %    Propositional unsat core size     : 0
% 0.71/0.52  %    Propositional preprocessing time  : 0.000
% 0.71/0.52  %    Propositional encoding time       : 0.000
% 0.71/0.52  %    Propositional solver time         : 0.000
% 0.71/0.52  %    Success case prop preproc time    : 0.000
% 0.71/0.52  %    Success case prop encoding time   : 0.000
% 0.71/0.52  %    Success case prop solver time     : 0.000
% 0.71/0.52  % Current number of processed clauses  : 412
% 0.71/0.52  %    Positive orientable unit clauses  : 138
% 0.71/0.52  %    Positive unorientable unit clauses: 0
% 0.71/0.52  %    Negative unit clauses             : 14
% 0.71/0.52  %    Non-unit-clauses                  : 260
% 0.71/0.52  % Current number of unprocessed clauses: 1702
% 0.71/0.52  % ...number of literals in the above   : 6456
% 0.71/0.52  % Current number of archived formulas  : 0
% 0.71/0.52  % Current number of archived clauses   : 192
% 0.71/0.52  % Clause-clause subsumption calls (NU) : 6814
% 0.71/0.52  % Rec. Clause-clause subsumption calls : 4071
% 0.71/0.52  % Non-unit clause-clause subsumptions  : 323
% 0.71/0.52  % Unit Clause-clause subsumption calls : 1072
% 0.71/0.52  % Rewrite failures with RHS unbound    : 0
% 0.71/0.52  % BW rewrite match attempts            : 52
% 0.71/0.52  % BW rewrite match successes           : 43
% 0.71/0.52  % Condensation attempts                : 0
% 0.71/0.52  % Condensation successes               : 0
% 0.71/0.52  % Termbank termtop insertions          : 69867
% 0.71/0.52  % Search garbage collected termcells   : 1342
% 0.71/0.52  
% 0.71/0.52  % -------------------------------------------------
% 0.71/0.52  % User time                : 0.097 s
% 0.71/0.52  % System time              : 0.006 s
% 0.71/0.52  % Total time               : 0.103 s
% 0.71/0.52  % Maximum resident set size: 3940 pages
% 0.71/0.52  
% 0.71/0.52  % -------------------------------------------------
% 0.71/0.52  % User time                : 0.465 s
% 0.71/0.52  % System time              : 0.030 s
% 0.71/0.52  % Total time               : 0.496 s
% 0.71/0.52  % Maximum resident set size: 4864 pages
% 0.71/0.52  % E exiting
%------------------------------------------------------------------------------