TSTP Solution File: NUM517+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : NUM517+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 01:26:39 EDT 2024

% Result   : Theorem 12.06s 2.01s
% Output   : CNFRefutation 12.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  125 (  30 unt;   0 def)
%            Number of atoms       :  412 ( 127 equ)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :  493 ( 206   ~; 197   |;  57   &)
%                                         (   3 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :  136 (   0 sgn  67   !;   1   ?)

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

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

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

fof(mZeroMul,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( sdtasdt0(X1,X2) = sz00
       => ( X1 = sz00
          | X2 = sz00 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroMul) ).

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

fof(mSortsC_01,axiom,
    ( aNaturalNumber0(sz10)
    & sz10 != sz00 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).

fof(mMulCanc,axiom,
    ! [X1] :
      ( aNaturalNumber0(X1)
     => ( X1 != sz00
       => ! [X2,X3] :
            ( ( aNaturalNumber0(X2)
              & aNaturalNumber0(X3) )
           => ( ( sdtasdt0(X1,X2) = sdtasdt0(X1,X3)
                | sdtasdt0(X2,X1) = sdtasdt0(X3,X1) )
             => X2 = X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).

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

fof(m__2342,hypothesis,
    ( aNaturalNumber0(xr)
    & doDivides0(xr,xk)
    & isPrime0(xr) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2342) ).

fof(m_MulUnit,axiom,
    ! [X1] :
      ( aNaturalNumber0(X1)
     => ( sdtasdt0(X1,sz10) = X1
        & X1 = sdtasdt0(sz10,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).

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

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

fof(m__2315,hypothesis,
    ~ ( xk = sz00
      | xk = sz10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2315) ).

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

fof(m__2487,hypothesis,
    doDivides0(xr,xn),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2487) ).

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

fof(m__2306,hypothesis,
    xk = sdtsldt0(sdtasdt0(xn,xm),xp),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).

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

fof(m__2287,hypothesis,
    ( xn != xp
    & sdtlseqdt0(xn,xp)
    & xm != xp
    & sdtlseqdt0(xm,xp) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).

fof(mIH_03,axiom,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( ( X1 != X2
          & sdtlseqdt0(X1,X2) )
       => iLess0(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).

fof(m__2686,hypothesis,
    ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp)
    & sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2686) ).

fof(m__,conjecture,
    ( doDivides0(xp,sdtsldt0(xn,xr))
    | doDivides0(xp,xm) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(m__1799,hypothesis,
    ! [X1,X2,X3] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2)
        & aNaturalNumber0(X3) )
     => ( ( isPrime0(X3)
          & doDivides0(X3,sdtasdt0(X1,X2)) )
       => ( iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp))
         => ( doDivides0(X3,X1)
            | doDivides0(X3,X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1799) ).

fof(m__2529,hypothesis,
    doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2529) ).

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

fof(c_0_25,plain,
    ! [X63,X64,X66] :
      ( ( aNaturalNumber0(esk2_2(X63,X64))
        | ~ doDivides0(X63,X64)
        | ~ aNaturalNumber0(X63)
        | ~ aNaturalNumber0(X64) )
      & ( X64 = sdtasdt0(X63,esk2_2(X63,X64))
        | ~ doDivides0(X63,X64)
        | ~ aNaturalNumber0(X63)
        | ~ aNaturalNumber0(X64) )
      & ( ~ aNaturalNumber0(X66)
        | X64 != sdtasdt0(X63,X66)
        | doDivides0(X63,X64)
        | ~ aNaturalNumber0(X63)
        | ~ aNaturalNumber0(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_26,plain,
    ! [X7,X8] :
      ( ~ aNaturalNumber0(X7)
      | ~ aNaturalNumber0(X8)
      | aNaturalNumber0(sdtasdt0(X7,X8)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])])]) ).

cnf(c_0_27,plain,
    ( doDivides0(X3,X2)
    | ~ aNaturalNumber0(X1)
    | X2 != sdtasdt0(X3,X1)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_28,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

fof(c_0_29,plain,
    ! [X21] :
      ( ( sdtasdt0(X21,sz00) = sz00
        | ~ aNaturalNumber0(X21) )
      & ( sz00 = sdtasdt0(sz00,X21)
        | ~ aNaturalNumber0(X21) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulZero])])])]) ).

fof(c_0_30,plain,
    ! [X33,X34] :
      ( ~ aNaturalNumber0(X33)
      | ~ aNaturalNumber0(X34)
      | sdtasdt0(X33,X34) != sz00
      | X33 = sz00
      | X34 = sz00 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroMul])])]) ).

cnf(c_0_31,plain,
    ( doDivides0(X1,sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_27]),c_0_28]) ).

cnf(c_0_32,plain,
    ( sdtasdt0(X1,sz00) = sz00
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_33,plain,
    aNaturalNumber0(sz00),
    inference(split_conjunct,[status(thm)],[mSortsC]) ).

cnf(c_0_34,plain,
    ( X1 = sz00
    | X2 = sz00
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | sdtasdt0(X1,X2) != sz00 ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_35,plain,
    ( X1 = sdtasdt0(X2,esk2_2(X2,X1))
    | ~ doDivides0(X2,X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_36,plain,
    ( doDivides0(X1,sz00)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).

fof(c_0_37,plain,
    ( aNaturalNumber0(sz10)
    & sz10 != sz00 ),
    inference(fof_simplification,[status(thm)],[mSortsC_01]) ).

cnf(c_0_38,plain,
    ( esk2_2(X1,sz00) = sz00
    | X1 = sz00
    | ~ aNaturalNumber0(esk2_2(X1,sz00))
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35])]),c_0_33])]),c_0_36]) ).

cnf(c_0_39,plain,
    ( aNaturalNumber0(esk2_2(X1,X2))
    | ~ doDivides0(X1,X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_40,plain,
    ( aNaturalNumber0(sz10)
    & sz10 != sz00 ),
    inference(fof_nnf,[status(thm)],[c_0_37]) ).

fof(c_0_41,plain,
    ! [X1] :
      ( aNaturalNumber0(X1)
     => ( X1 != sz00
       => ! [X2,X3] :
            ( ( aNaturalNumber0(X2)
              & aNaturalNumber0(X3) )
           => ( ( sdtasdt0(X1,X2) = sdtasdt0(X1,X3)
                | sdtasdt0(X2,X1) = sdtasdt0(X3,X1) )
             => X2 = X3 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mMulCanc]) ).

cnf(c_0_42,plain,
    ( esk2_2(X1,sz00) = sz00
    | X1 = sz00
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_33])]),c_0_36]) ).

cnf(c_0_43,plain,
    aNaturalNumber0(sz10),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_44,plain,
    sz10 != sz00,
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

fof(c_0_45,plain,
    ! [X28,X29,X30] :
      ( ( sdtasdt0(X28,X29) != sdtasdt0(X28,X30)
        | X29 = X30
        | ~ aNaturalNumber0(X29)
        | ~ aNaturalNumber0(X30)
        | X28 = sz00
        | ~ aNaturalNumber0(X28) )
      & ( sdtasdt0(X29,X28) != sdtasdt0(X30,X28)
        | X29 = X30
        | ~ aNaturalNumber0(X29)
        | ~ aNaturalNumber0(X30)
        | X28 = sz00
        | ~ aNaturalNumber0(X28) ) ),
    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_41])])])])]) ).

fof(c_0_46,plain,
    ! [X17,X18,X19] :
      ( ~ aNaturalNumber0(X17)
      | ~ aNaturalNumber0(X18)
      | ~ aNaturalNumber0(X19)
      | sdtasdt0(sdtasdt0(X17,X18),X19) = sdtasdt0(X17,sdtasdt0(X18,X19)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])])]) ).

cnf(c_0_47,plain,
    esk2_2(sz10,sz00) = sz00,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).

cnf(c_0_48,plain,
    ( X2 = X3
    | X1 = sz00
    | sdtasdt0(X1,X2) != sdtasdt0(X1,X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_49,hypothesis,
    aNaturalNumber0(xr),
    inference(split_conjunct,[status(thm)],[m__2342]) ).

fof(c_0_50,plain,
    ! [X20] :
      ( ( sdtasdt0(X20,sz10) = X20
        | ~ aNaturalNumber0(X20) )
      & ( X20 = sdtasdt0(sz10,X20)
        | ~ aNaturalNumber0(X20) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m_MulUnit])])])]) ).

cnf(c_0_51,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_52,plain,
    ( sdtasdt0(sz10,sz00) = sz00
    | ~ doDivides0(sz10,sz00) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_47]),c_0_43]),c_0_33])]) ).

fof(c_0_53,plain,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( ( X1 != sz00
          & doDivides0(X1,X2) )
       => ! [X3] :
            ( X3 = sdtsldt0(X2,X1)
          <=> ( aNaturalNumber0(X3)
              & X2 = sdtasdt0(X1,X3) ) ) ) ),
    inference(fof_simplification,[status(thm)],[mDefQuot]) ).

cnf(c_0_54,hypothesis,
    ( X1 = xr
    | X2 = sz00
    | sdtasdt0(X2,X1) != sdtasdt0(X2,xr)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_55,plain,
    ( X1 = sdtasdt0(sz10,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_56,plain,
    ( aNaturalNumber0(sdtasdt0(X1,sdtasdt0(X2,X3)))
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_51]),c_0_28]) ).

cnf(c_0_57,plain,
    sdtasdt0(sz10,sz00) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_36]),c_0_43])]) ).

cnf(c_0_58,plain,
    ( sz00 = sdtasdt0(sz00,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

fof(c_0_59,plain,
    ! [X70,X71,X72] :
      ( ~ aNaturalNumber0(X70)
      | ~ aNaturalNumber0(X71)
      | ~ aNaturalNumber0(X72)
      | ~ doDivides0(X70,X71)
      | ~ doDivides0(X71,X72)
      | doDivides0(X70,X72) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivTrans])])]) ).

fof(c_0_60,plain,
    ! [X67,X68,X69] :
      ( ( aNaturalNumber0(X69)
        | X69 != sdtsldt0(X68,X67)
        | X67 = sz00
        | ~ doDivides0(X67,X68)
        | ~ aNaturalNumber0(X67)
        | ~ aNaturalNumber0(X68) )
      & ( X68 = sdtasdt0(X67,X69)
        | X69 != sdtsldt0(X68,X67)
        | X67 = sz00
        | ~ doDivides0(X67,X68)
        | ~ aNaturalNumber0(X67)
        | ~ aNaturalNumber0(X68) )
      & ( ~ aNaturalNumber0(X69)
        | X68 != sdtasdt0(X67,X69)
        | X69 = sdtsldt0(X68,X67)
        | X67 = sz00
        | ~ doDivides0(X67,X68)
        | ~ aNaturalNumber0(X67)
        | ~ aNaturalNumber0(X68) ) ),
    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_53])])])])]) ).

cnf(c_0_61,hypothesis,
    ( X1 = xr
    | sdtasdt0(sz10,X1) != xr
    | ~ aNaturalNumber0(X1) ),
    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_43]),c_0_49])]),c_0_44]) ).

cnf(c_0_62,plain,
    ( sdtasdt0(X1,sdtasdt0(X2,sz00)) = sz00
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_51]),c_0_33])]),c_0_28]) ).

cnf(c_0_63,plain,
    ( aNaturalNumber0(sdtasdt0(X1,sz00))
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_33]),c_0_43])]) ).

cnf(c_0_64,plain,
    ( X1 = sz00
    | ~ doDivides0(sz00,X1)
    | ~ aNaturalNumber0(esk2_2(sz00,X1))
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_35]),c_0_33])]) ).

cnf(c_0_65,plain,
    ( doDivides0(X1,X3)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ doDivides0(X1,X2)
    | ~ doDivides0(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_66,hypothesis,
    doDivides0(xr,xk),
    inference(split_conjunct,[status(thm)],[m__2342]) ).

fof(c_0_67,hypothesis,
    ( xk != sz00
    & xk != sz10 ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2315])]) ).

cnf(c_0_68,plain,
    ( aNaturalNumber0(X1)
    | X3 = sz00
    | X1 != sdtsldt0(X2,X3)
    | ~ doDivides0(X3,X2)
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_69,hypothesis,
    aNaturalNumber0(xp),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_70,hypothesis,
    doDivides0(xr,xn),
    inference(split_conjunct,[status(thm)],[m__2487]) ).

cnf(c_0_71,hypothesis,
    aNaturalNumber0(xn),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

cnf(c_0_72,hypothesis,
    ( sdtasdt0(X1,sz00) = xr
    | xr != sz00
    | ~ aNaturalNumber0(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_43])]),c_0_63]) ).

cnf(c_0_73,plain,
    ( X1 = sz00
    | ~ doDivides0(sz00,X1)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_39]),c_0_33])]) ).

cnf(c_0_74,hypothesis,
    ( doDivides0(X1,xk)
    | ~ doDivides0(X1,xr)
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_49])]) ).

cnf(c_0_75,hypothesis,
    xk != sz00,
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_76,plain,
    ( X1 = sz00
    | aNaturalNumber0(sdtsldt0(X2,X1))
    | ~ doDivides0(X1,X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(er,[status(thm)],[c_0_68]) ).

cnf(c_0_77,hypothesis,
    doDivides0(xp,sdtasdt0(xn,xm)),
    inference(split_conjunct,[status(thm)],[m__1860]) ).

cnf(c_0_78,hypothesis,
    xk = sdtsldt0(sdtasdt0(xn,xm),xp),
    inference(split_conjunct,[status(thm)],[m__2306]) ).

cnf(c_0_79,hypothesis,
    ( X1 = xp
    | X2 = sz00
    | sdtasdt0(X2,X1) != sdtasdt0(X2,xp)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(spm,[status(thm)],[c_0_48,c_0_69]) ).

fof(c_0_80,plain,
    ! [X15,X16] :
      ( ~ aNaturalNumber0(X15)
      | ~ aNaturalNumber0(X16)
      | sdtasdt0(X15,X16) = sdtasdt0(X16,X15) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])])]) ).

cnf(c_0_81,plain,
    ( doDivides0(X1,sdtasdt0(X2,X3))
    | ~ doDivides0(X1,X2)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_31]),c_0_28]) ).

cnf(c_0_82,hypothesis,
    ( doDivides0(X1,xn)
    | ~ doDivides0(X1,xr)
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_70]),c_0_71]),c_0_49])]) ).

cnf(c_0_83,hypothesis,
    ( doDivides0(X1,xr)
    | xr != sz00
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_72]),c_0_33])]) ).

fof(c_0_84,hypothesis,
    ( xn != xp
    & sdtlseqdt0(xn,xp)
    & xm != xp
    & sdtlseqdt0(xm,xp) ),
    inference(fof_simplification,[status(thm)],[m__2287]) ).

cnf(c_0_85,hypothesis,
    ( ~ doDivides0(sz00,xr)
    | ~ aNaturalNumber0(xk) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_33])]),c_0_75]) ).

cnf(c_0_86,hypothesis,
    ( xp = sz00
    | aNaturalNumber0(xk)
    | ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]),c_0_69])]) ).

cnf(c_0_87,hypothesis,
    aNaturalNumber0(xm),
    inference(split_conjunct,[status(thm)],[m__1837]) ).

fof(c_0_88,plain,
    ! [X1,X2] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X2) )
     => ( ( X1 != X2
          & sdtlseqdt0(X1,X2) )
       => iLess0(X1,X2) ) ),
    inference(fof_simplification,[status(thm)],[mIH_03]) ).

fof(c_0_89,hypothesis,
    ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp)
    & sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    inference(fof_simplification,[status(thm)],[m__2686]) ).

cnf(c_0_90,hypothesis,
    ( X1 = xp
    | sdtasdt0(sz10,X1) != xp
    | ~ aNaturalNumber0(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_55]),c_0_43]),c_0_69])]),c_0_44]) ).

cnf(c_0_91,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_92,plain,
    ( sdtasdt0(X1,X2) = sz00
    | ~ doDivides0(sz00,X1)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_81]),c_0_33])]),c_0_28]) ).

cnf(c_0_93,hypothesis,
    ( doDivides0(X1,xn)
    | xr != sz00
    | ~ aNaturalNumber0(X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

fof(c_0_94,hypothesis,
    ( xn != xp
    & sdtlseqdt0(xn,xp)
    & xm != xp
    & sdtlseqdt0(xm,xp) ),
    inference(fof_nnf,[status(thm)],[c_0_84]) ).

cnf(c_0_95,hypothesis,
    ( xr != sz00
    | ~ aNaturalNumber0(xk) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_83]),c_0_33])]) ).

cnf(c_0_96,hypothesis,
    ( xp = sz00
    | aNaturalNumber0(xk) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_28]),c_0_87]),c_0_71])]) ).

fof(c_0_97,plain,
    ! [X61,X62] :
      ( ~ aNaturalNumber0(X61)
      | ~ aNaturalNumber0(X62)
      | X61 = X62
      | ~ sdtlseqdt0(X61,X62)
      | iLess0(X61,X62) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])])]) ).

fof(c_0_98,hypothesis,
    ( sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp)
    & sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    inference(fof_nnf,[status(thm)],[c_0_89]) ).

fof(c_0_99,negated_conjecture,
    ~ ( doDivides0(xp,sdtsldt0(xn,xr))
      | doDivides0(xp,xm) ),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_100,hypothesis,
    ( X1 = xp
    | sdtasdt0(X1,sz10) != xp
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_43])]) ).

cnf(c_0_101,hypothesis,
    ( sdtasdt0(xn,X1) = sz00
    | xr != sz00
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_71]),c_0_33])]) ).

cnf(c_0_102,hypothesis,
    xn != xp,
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_103,hypothesis,
    ( xp = sz00
    | xr != sz00 ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

fof(c_0_104,hypothesis,
    ! [X89,X90,X91] :
      ( ~ aNaturalNumber0(X89)
      | ~ aNaturalNumber0(X90)
      | ~ aNaturalNumber0(X91)
      | ~ isPrime0(X91)
      | ~ doDivides0(X91,sdtasdt0(X89,X90))
      | ~ iLess0(sdtpldt0(sdtpldt0(X89,X90),X91),sdtpldt0(sdtpldt0(xn,xm),xp))
      | doDivides0(X91,X89)
      | doDivides0(X91,X90) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1799])])]) ).

cnf(c_0_105,plain,
    ( X1 = X2
    | iLess0(X1,X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ sdtlseqdt0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_106,hypothesis,
    sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_107,hypothesis,
    sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

fof(c_0_108,negated_conjecture,
    ( ~ doDivides0(xp,sdtsldt0(xn,xr))
    & ~ doDivides0(xp,xm) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_99])]) ).

cnf(c_0_109,hypothesis,
    ( xr = sz00
    | aNaturalNumber0(sdtsldt0(xn,xr)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_70]),c_0_49]),c_0_71])]) ).

cnf(c_0_110,hypothesis,
    xr != sz00,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_71]),c_0_43])]),c_0_102]),c_0_103]) ).

cnf(c_0_111,hypothesis,
    ( doDivides0(X3,X1)
    | doDivides0(X3,X2)
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X3)
    | ~ isPrime0(X3)
    | ~ doDivides0(X3,sdtasdt0(X1,X2))
    | ~ iLess0(sdtpldt0(sdtpldt0(X1,X2),X3),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_112,hypothesis,
    ( iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    | ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
    | ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]) ).

cnf(c_0_113,hypothesis,
    isPrime0(xp),
    inference(split_conjunct,[status(thm)],[m__1860]) ).

cnf(c_0_114,hypothesis,
    doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
    inference(split_conjunct,[status(thm)],[m__2529]) ).

cnf(c_0_115,negated_conjecture,
    ~ doDivides0(xp,xm),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_116,negated_conjecture,
    ~ doDivides0(xp,sdtsldt0(xn,xr)),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_117,hypothesis,
    aNaturalNumber0(sdtsldt0(xn,xr)),
    inference(sr,[status(thm)],[c_0_109,c_0_110]) ).

fof(c_0_118,plain,
    ! [X5,X6] :
      ( ~ aNaturalNumber0(X5)
      | ~ aNaturalNumber0(X6)
      | aNaturalNumber0(sdtpldt0(X5,X6)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])])]) ).

cnf(c_0_119,hypothesis,
    ( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp))
    | ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]),c_0_114]),c_0_69]),c_0_87])]),c_0_115]),c_0_116]),c_0_117])]) ).

cnf(c_0_120,plain,
    ( aNaturalNumber0(sdtpldt0(X1,X2))
    | ~ aNaturalNumber0(X1)
    | ~ aNaturalNumber0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_118]) ).

cnf(c_0_121,hypothesis,
    ( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
    | ~ aNaturalNumber0(sdtpldt0(sdtsldt0(xn,xr),xm)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_69])]) ).

cnf(c_0_122,hypothesis,
    ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_120]),c_0_87]),c_0_117])]) ).

cnf(c_0_123,hypothesis,
    ~ aNaturalNumber0(sdtpldt0(xn,xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_120]),c_0_69])]) ).

cnf(c_0_124,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_120]),c_0_87]),c_0_71])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : NUM517+1 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n015.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon May 20 07:17:23 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.22/0.49  Running first-order model finding
% 0.22/0.49  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.06/2.01  # Version: 3.1.0
% 12.06/2.01  # Preprocessing class: FSLSSMSSSSSNFFN.
% 12.06/2.01  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.06/2.01  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 12.06/2.01  # Starting new_bool_3 with 300s (1) cores
% 12.06/2.01  # Starting new_bool_1 with 300s (1) cores
% 12.06/2.01  # Starting sh5l with 300s (1) cores
% 12.06/2.01  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 14989 completed with status 0
% 12.06/2.01  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 12.06/2.01  # Preprocessing class: FSLSSMSSSSSNFFN.
% 12.06/2.01  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.06/2.01  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 12.06/2.01  # No SInE strategy applied
% 12.06/2.01  # Search class: FGHSF-FFMM21-MFFFFFNN
% 12.06/2.01  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 12.06/2.01  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 12.06/2.01  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 12.06/2.01  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 12.06/2.01  # Starting new_bool_3 with 136s (1) cores
% 12.06/2.01  # Starting new_bool_1 with 136s (1) cores
% 12.06/2.01  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 14993 completed with status 0
% 12.06/2.01  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 12.06/2.01  # Preprocessing class: FSLSSMSSSSSNFFN.
% 12.06/2.01  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.06/2.01  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 12.06/2.01  # No SInE strategy applied
% 12.06/2.01  # Search class: FGHSF-FFMM21-MFFFFFNN
% 12.06/2.01  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 12.06/2.01  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 12.06/2.01  # Preprocessing time       : 0.002 s
% 12.06/2.01  # Presaturation interreduction done
% 12.06/2.01  
% 12.06/2.01  # Proof found!
% 12.06/2.01  # SZS status Theorem
% 12.06/2.01  # SZS output start CNFRefutation
% See solution above
% 12.06/2.01  # Parsed axioms                        : 56
% 12.06/2.01  # Removed by relevancy pruning/SinE    : 0
% 12.06/2.01  # Initial clauses                      : 103
% 12.06/2.01  # Removed in clause preprocessing      : 3
% 12.06/2.01  # Initial clauses in saturation        : 100
% 12.06/2.01  # Processed clauses                    : 10085
% 12.06/2.01  # ...of these trivial                  : 409
% 12.06/2.01  # ...subsumed                          : 5798
% 12.06/2.01  # ...remaining for further processing  : 3878
% 12.06/2.01  # Other redundant clauses eliminated   : 386
% 12.06/2.01  # Clauses deleted for lack of memory   : 0
% 12.06/2.01  # Backward-subsumed                    : 445
% 12.06/2.01  # Backward-rewritten                   : 350
% 12.06/2.01  # Generated clauses                    : 106560
% 12.06/2.01  # ...of the previous two non-redundant : 100008
% 12.06/2.01  # ...aggressively subsumed             : 0
% 12.06/2.01  # Contextual simplify-reflections      : 475
% 12.06/2.01  # Paramodulations                      : 105824
% 12.06/2.01  # Factorizations                       : 9
% 12.06/2.01  # NegExts                              : 0
% 12.06/2.01  # Equation resolutions                 : 425
% 12.06/2.01  # Disequality decompositions           : 0
% 12.06/2.01  # Total rewrite steps                  : 71413
% 12.06/2.01  # ...of those cached                   : 71036
% 12.06/2.01  # Propositional unsat checks           : 0
% 12.06/2.01  #    Propositional check models        : 0
% 12.06/2.01  #    Propositional check unsatisfiable : 0
% 12.06/2.01  #    Propositional clauses             : 0
% 12.06/2.01  #    Propositional clauses after purity: 0
% 12.06/2.01  #    Propositional unsat core size     : 0
% 12.06/2.01  #    Propositional preprocessing time  : 0.000
% 12.06/2.01  #    Propositional encoding time       : 0.000
% 12.06/2.01  #    Propositional solver time         : 0.000
% 12.06/2.01  #    Success case prop preproc time    : 0.000
% 12.06/2.01  #    Success case prop encoding time   : 0.000
% 12.06/2.01  #    Success case prop solver time     : 0.000
% 12.06/2.01  # Current number of processed clauses  : 2678
% 12.06/2.01  #    Positive orientable unit clauses  : 392
% 12.06/2.01  #    Positive unorientable unit clauses: 0
% 12.06/2.01  #    Negative unit clauses             : 202
% 12.06/2.01  #    Non-unit-clauses                  : 2084
% 12.06/2.01  # Current number of unprocessed clauses: 88437
% 12.06/2.01  # ...number of literals in the above   : 435266
% 12.06/2.01  # Current number of archived formulas  : 0
% 12.06/2.01  # Current number of archived clauses   : 1189
% 12.06/2.01  # Clause-clause subsumption calls (NU) : 453686
% 12.06/2.01  # Rec. Clause-clause subsumption calls : 169973
% 12.06/2.01  # Non-unit clause-clause subsumptions  : 4934
% 12.06/2.01  # Unit Clause-clause subsumption calls : 66327
% 12.06/2.01  # Rewrite failures with RHS unbound    : 0
% 12.06/2.01  # BW rewrite match attempts            : 197
% 12.06/2.01  # BW rewrite match successes           : 104
% 12.06/2.01  # Condensation attempts                : 0
% 12.06/2.01  # Condensation successes               : 0
% 12.06/2.01  # Termbank termtop insertions          : 2393836
% 12.06/2.01  # Search garbage collected termcells   : 1371
% 12.06/2.01  
% 12.06/2.01  # -------------------------------------------------
% 12.06/2.01  # User time                : 1.425 s
% 12.06/2.01  # System time              : 0.056 s
% 12.06/2.01  # Total time               : 1.482 s
% 12.06/2.01  # Maximum resident set size: 1980 pages
% 12.06/2.01  
% 12.06/2.01  # -------------------------------------------------
% 12.06/2.01  # User time                : 7.199 s
% 12.06/2.01  # System time              : 0.145 s
% 12.06/2.01  # Total time               : 7.343 s
% 12.06/2.01  # Maximum resident set size: 1752 pages
% 12.06/2.01  % E---3.1 exiting
%------------------------------------------------------------------------------