↑ Up

ET---2.0.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM451+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n006.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  : 600s
% DateTime : Mon Jul 18 09:32:34 EDT 2022

% Result   : Theorem 0.22s 3.40s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  301 (  97 unt;   0 def)
%            Number of atoms       :  931 ( 341 equ)
%            Maximal formula atoms :  102 (   3 avg)
%            Number of connectives : 1016 ( 386   ~; 442   |; 155   &)
%                                         (   6 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   40 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;   7 con; 0-3 aty)
%            Number of variables   :  271 (  10 sgn  97   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mMulOne,axiom,
    ! [X1] :
      ( aInteger0(X1)
     => ( sdtasdt0(X1,sz10) = X1
        & X1 = sdtasdt0(sz10,X1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulOne) ).

fof(mDistrib,axiom,
    ! [X1,X2,X3] :
      ( ( aInteger0(X1)
        & aInteger0(X2)
        & aInteger0(X3) )
     => ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
        & sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDistrib) ).

fof(mIntPlus,axiom,
    ! [X1,X2] :
      ( ( aInteger0(X1)
        & aInteger0(X2) )
     => aInteger0(sdtpldt0(X1,X2)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntPlus) ).

fof(mAddZero,axiom,
    ! [X1] :
      ( aInteger0(X1)
     => ( sdtpldt0(X1,sz00) = X1
        & X1 = sdtpldt0(sz00,X1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddZero) ).

fof(mAddNeg,axiom,
    ! [X1] :
      ( aInteger0(X1)
     => ( sdtpldt0(X1,smndt0(X1)) = sz00
        & sz00 = sdtpldt0(smndt0(X1),X1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddNeg) ).

fof(mIntNeg,axiom,
    ! [X1] :
      ( aInteger0(X1)
     => aInteger0(smndt0(X1)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntNeg) ).

fof(mIntOne,axiom,
    aInteger0(sz10),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntOne) ).

fof(mIntZero,axiom,
    aInteger0(sz00),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntZero) ).

fof(mMulMinOne,axiom,
    ! [X1] :
      ( aInteger0(X1)
     => ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
        & smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulMinOne) ).

fof(mAddAsso,axiom,
    ! [X1,X2,X3] :
      ( ( aInteger0(X1)
        & aInteger0(X2)
        & aInteger0(X3) )
     => sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddAsso) ).

fof(mAddComm,axiom,
    ! [X1,X2] :
      ( ( aInteger0(X1)
        & aInteger0(X2) )
     => sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddComm) ).

fof(mZeroDiv,axiom,
    ! [X1,X2] :
      ( ( aInteger0(X1)
        & aInteger0(X2) )
     => ( sdtasdt0(X1,X2) = sz00
       => ( X1 = sz00
          | X2 = sz00 ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mZeroDiv) ).

fof(m__2171,hypothesis,
    ( aInteger0(xp)
    & xp != sz00
    & aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
    & ! [X1] :
        ( ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
         => ( aInteger0(X1)
            & ? [X2] :
                ( aInteger0(X2)
                & sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10)) )
            & aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
            & sdteqdtlpzmzozddtrp0(X1,sz10,xp) ) )
        & ( ( aInteger0(X1)
            & ( ? [X2] :
                  ( aInteger0(X2)
                  & sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10)) )
              | aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
              | sdteqdtlpzmzozddtrp0(X1,sz10,xp) ) )
         => aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
    & aSet0(sbsmnsldt0(xS))
    & ! [X1] :
        ( aElementOf0(X1,sbsmnsldt0(xS))
      <=> ( aInteger0(X1)
          & ? [X2] :
              ( aElementOf0(X2,xS)
              & aElementOf0(X1,X2) ) ) )
    & ! [X1] :
        ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
      <=> ( aInteger0(X1)
          & ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
    & ! [X1] :
        ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
       => aElementOf0(X1,stldt0(sbsmnsldt0(xS))) )
    & aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2171) ).

fof(mEquModRef,axiom,
    ! [X1,X2] :
      ( ( aInteger0(X1)
        & aInteger0(X2)
        & X2 != sz00 )
     => sdteqdtlpzmzozddtrp0(X1,X1,X2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mEquModRef) ).

fof(mMulAsso,axiom,
    ! [X1,X2,X3] :
      ( ( aInteger0(X1)
        & aInteger0(X2)
        & aInteger0(X3) )
     => sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulAsso) ).

fof(mIntMult,axiom,
    ! [X1,X2] :
      ( ( aInteger0(X1)
        & aInteger0(X2) )
     => aInteger0(sdtasdt0(X1,X2)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mIntMult) ).

fof(m__2079,hypothesis,
    ( aSet0(sbsmnsldt0(xS))
    & ! [X1] :
        ( aElementOf0(X1,sbsmnsldt0(xS))
      <=> ( aInteger0(X1)
          & ? [X2] :
              ( aElementOf0(X2,xS)
              & aElementOf0(X1,X2) ) ) )
    & aSet0(stldt0(sbsmnsldt0(xS)))
    & ! [X1] :
        ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
      <=> ( aInteger0(X1)
          & ~ aElementOf0(X1,sbsmnsldt0(xS)) ) )
    & ! [X1] :
        ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
      <=> ( X1 = sz10
          | X1 = smndt0(sz10) ) )
    & stldt0(sbsmnsldt0(xS)) = cS2076 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2079) ).

fof(m__2046,hypothesis,
    ( aSet0(xS)
    & ! [X1] :
        ( ( aElementOf0(X1,xS)
         => ? [X2] :
              ( aInteger0(X2)
              & X2 != sz00
              & isPrime0(X2)
              & aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
              & ! [X3] :
                  ( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
                   => ( aInteger0(X3)
                      & ? [X4] :
                          ( aInteger0(X4)
                          & sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
                      & aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
                      & sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
                  & ( ( aInteger0(X3)
                      & ( ? [X4] :
                            ( aInteger0(X4)
                            & sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
                        | aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
                        | sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
                   => aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ) )
              & szAzrzSzezqlpdtcmdtrp0(sz00,X2) = X1 ) )
        & ( ? [X2] :
              ( aInteger0(X2)
              & X2 != sz00
              & isPrime0(X2)
              & ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X2))
                  & ! [X3] :
                      ( ( aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2))
                       => ( aInteger0(X3)
                          & ? [X4] :
                              ( aInteger0(X4)
                              & sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
                          & aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
                          & sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
                      & ( ( aInteger0(X3)
                          & ( ? [X4] :
                                ( aInteger0(X4)
                                & sdtasdt0(X2,X4) = sdtpldt0(X3,smndt0(sz00)) )
                            | aDivisorOf0(X2,sdtpldt0(X3,smndt0(sz00)))
                            | sdteqdtlpzmzozddtrp0(X3,sz00,X2) ) )
                       => aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz00,X2)) ) ) )
               => szAzrzSzezqlpdtcmdtrp0(sz00,X2) = X1 ) )
         => aElementOf0(X1,xS) ) )
    & xS = cS2043 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2046) ).

fof(mMulComm,axiom,
    ! [X1,X2] :
      ( ( aInteger0(X1)
        & aInteger0(X2) )
     => sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulComm) ).

fof(m__,conjecture,
    ? [X1] :
      ( ( ( aInteger0(X1)
          & ( ? [X2] :
                ( aInteger0(X2)
                & sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10)) )
            | aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
            | sdteqdtlpzmzozddtrp0(X1,sz10,xp) ) )
        | aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
      & ~ ( ( X1 = sz10
            | X1 = smndt0(sz10) )
          & aElementOf0(X1,cS2200) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).

fof(mMulZero,axiom,
    ! [X1] :
      ( aInteger0(X1)
     => ( sdtasdt0(X1,sz00) = sz00
        & sz00 = sdtasdt0(sz00,X1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulZero) ).

fof(mDivisor,axiom,
    ! [X1] :
      ( aInteger0(X1)
     => ! [X2] :
          ( aDivisorOf0(X2,X1)
        <=> ( aInteger0(X2)
            & X2 != sz00
            & ? [X3] :
                ( aInteger0(X3)
                & sdtasdt0(X2,X3) = X1 ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDivisor) ).

fof(c_0_22,plain,
    ! [X2] :
      ( ( sdtasdt0(X2,sz10) = X2
        | ~ aInteger0(X2) )
      & ( X2 = sdtasdt0(sz10,X2)
        | ~ aInteger0(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulOne])])]) ).

fof(c_0_23,plain,
    ! [X4,X5,X6] :
      ( ( sdtasdt0(X4,sdtpldt0(X5,X6)) = sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
        | ~ aInteger0(X4)
        | ~ aInteger0(X5)
        | ~ aInteger0(X6) )
      & ( sdtasdt0(sdtpldt0(X4,X5),X6) = sdtpldt0(sdtasdt0(X4,X6),sdtasdt0(X5,X6))
        | ~ aInteger0(X4)
        | ~ aInteger0(X5)
        | ~ aInteger0(X6) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistrib])])]) ).

fof(c_0_24,plain,
    ! [X3,X4] :
      ( ~ aInteger0(X3)
      | ~ aInteger0(X4)
      | aInteger0(sdtpldt0(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntPlus])]) ).

fof(c_0_25,plain,
    ! [X2] :
      ( ( sdtpldt0(X2,sz00) = X2
        | ~ aInteger0(X2) )
      & ( X2 = sdtpldt0(sz00,X2)
        | ~ aInteger0(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])]) ).

fof(c_0_26,plain,
    ! [X2] :
      ( ( sdtpldt0(X2,smndt0(X2)) = sz00
        | ~ aInteger0(X2) )
      & ( sz00 = sdtpldt0(smndt0(X2),X2)
        | ~ aInteger0(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddNeg])])]) ).

fof(c_0_27,plain,
    ! [X2] :
      ( ~ aInteger0(X2)
      | aInteger0(smndt0(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])]) ).

cnf(c_0_28,plain,
    ( X1 = sdtasdt0(sz10,X1)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_29,plain,
    ( sdtasdt0(X3,sdtpldt0(X2,X1)) = sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
    | ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_30,plain,
    aInteger0(sz10),
    inference(split_conjunct,[status(thm)],[mIntOne]) ).

cnf(c_0_31,plain,
    ( aInteger0(sdtpldt0(X1,X2))
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_32,plain,
    ( X1 = sdtpldt0(sz00,X1)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_33,plain,
    aInteger0(sz00),
    inference(split_conjunct,[status(thm)],[mIntZero]) ).

cnf(c_0_34,plain,
    ( sz00 = sdtpldt0(smndt0(X1),X1)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_35,plain,
    ( aInteger0(smndt0(X1))
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

fof(c_0_36,plain,
    ! [X2] :
      ( ( sdtasdt0(smndt0(sz10),X2) = smndt0(X2)
        | ~ aInteger0(X2) )
      & ( smndt0(X2) = sdtasdt0(X2,smndt0(sz10))
        | ~ aInteger0(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMinOne])])]) ).

cnf(c_0_37,plain,
    ( sdtpldt0(sdtasdt0(sz10,X1),sdtasdt0(sz10,X2)) = sdtpldt0(X1,X2)
    | ~ aInteger0(X1)
    | ~ aInteger0(X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]),c_0_31]) ).

cnf(c_0_38,plain,
    ( sdtpldt0(sdtasdt0(X1,sz00),sdtasdt0(X1,X2)) = sdtasdt0(X1,X2)
    | ~ aInteger0(X1)
    | ~ aInteger0(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_32]),c_0_33])]) ).

fof(c_0_39,plain,
    ! [X4,X5,X6] :
      ( ~ aInteger0(X4)
      | ~ aInteger0(X5)
      | ~ aInteger0(X6)
      | sdtpldt0(X4,sdtpldt0(X5,X6)) = sdtpldt0(sdtpldt0(X4,X5),X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).

cnf(c_0_40,plain,
    ( sdtpldt0(sdtasdt0(X1,smndt0(X2)),sdtasdt0(X1,X2)) = sdtasdt0(X1,sz00)
    | ~ aInteger0(X1)
    | ~ aInteger0(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_34]),c_0_35]) ).

cnf(c_0_41,plain,
    ( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

fof(c_0_42,plain,
    ! [X3,X4] :
      ( ~ aInteger0(X3)
      | ~ aInteger0(X4)
      | sdtpldt0(X3,X4) = sdtpldt0(X4,X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).

cnf(c_0_43,plain,
    ( sdtasdt0(X1,sz10) = X1
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_44,plain,
    ( sdtasdt0(sz10,X1) = sdtpldt0(sz00,X1)
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_33]),c_0_30])]) ).

fof(c_0_45,plain,
    ! [X3,X4] :
      ( ~ aInteger0(X3)
      | ~ aInteger0(X4)
      | sdtasdt0(X3,X4) != sz00
      | X3 = sz00
      | X4 = sz00 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroDiv])]) ).

fof(c_0_46,hypothesis,
    ! [X3,X3,X5,X6,X6,X8,X9,X9,X10] :
      ( aInteger0(xp)
      & xp != sz00
      & aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
      & ( aInteger0(X3)
        | ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
      & ( aInteger0(esk11_1(X3))
        | ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
      & ( sdtasdt0(xp,esk11_1(X3)) = sdtpldt0(X3,smndt0(sz10))
        | ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
      & ( aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10)))
        | ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
      & ( sdteqdtlpzmzozddtrp0(X3,sz10,xp)
        | ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
      & ( ~ aInteger0(X5)
        | sdtasdt0(xp,X5) != sdtpldt0(X3,smndt0(sz10))
        | ~ aInteger0(X3)
        | aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
      & ( ~ aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10)))
        | ~ aInteger0(X3)
        | aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
      & ( ~ sdteqdtlpzmzozddtrp0(X3,sz10,xp)
        | ~ aInteger0(X3)
        | aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
      & aSet0(sbsmnsldt0(xS))
      & ( aInteger0(X6)
        | ~ aElementOf0(X6,sbsmnsldt0(xS)) )
      & ( aElementOf0(esk12_1(X6),xS)
        | ~ aElementOf0(X6,sbsmnsldt0(xS)) )
      & ( aElementOf0(X6,esk12_1(X6))
        | ~ aElementOf0(X6,sbsmnsldt0(xS)) )
      & ( ~ aInteger0(X6)
        | ~ aElementOf0(X8,xS)
        | ~ aElementOf0(X6,X8)
        | aElementOf0(X6,sbsmnsldt0(xS)) )
      & ( aInteger0(X9)
        | ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
      & ( ~ aElementOf0(X9,sbsmnsldt0(xS))
        | ~ aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
      & ( ~ aInteger0(X9)
        | aElementOf0(X9,sbsmnsldt0(xS))
        | aElementOf0(X9,stldt0(sbsmnsldt0(xS))) )
      & ( ~ aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
        | aElementOf0(X10,stldt0(sbsmnsldt0(xS))) )
      & aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[m__2171])])])])])])])]) ).

cnf(c_0_47,plain,
    ( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3)
    | ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_48,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz00
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_49,plain,
    ( sdtasdt0(X1,sz00) = sdtpldt0(smndt0(X1),sdtasdt0(X1,sz10))
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_30])]) ).

cnf(c_0_50,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_51,plain,
    sdtpldt0(sz00,sz10) = sz10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_30])]) ).

cnf(c_0_52,plain,
    ( X1 = sz00
    | X2 = sz00
    | sdtasdt0(X2,X1) != sz00
    | ~ aInteger0(X1)
    | ~ aInteger0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_53,hypothesis,
    ( sdtasdt0(xp,esk11_1(X1)) = sdtpldt0(X1,smndt0(sz10))
    | ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_54,hypothesis,
    aInteger0(xp),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_55,hypothesis,
    xp != sz00,
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_56,hypothesis,
    ( aInteger0(esk11_1(X1))
    | ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

fof(c_0_57,plain,
    ! [X3,X4] :
      ( ~ aInteger0(X3)
      | ~ aInteger0(X4)
      | X4 = sz00
      | sdteqdtlpzmzozddtrp0(X3,X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEquModRef])]) ).

cnf(c_0_58,plain,
    ( sdtpldt0(X1,sdtpldt0(smndt0(X1),X2)) = sdtpldt0(sz00,X2)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_35]) ).

cnf(c_0_59,plain,
    sdtpldt0(smndt0(sz10),sdtasdt0(sz10,sz10)) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_49]),c_0_33]),c_0_30])]) ).

cnf(c_0_60,plain,
    sdtpldt0(sz10,sz00) = sz10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_30]),c_0_33])]) ).

fof(c_0_61,plain,
    ! [X4,X5,X6] :
      ( ~ aInteger0(X4)
      | ~ aInteger0(X5)
      | ~ aInteger0(X6)
      | sdtasdt0(X4,sdtasdt0(X5,X6)) = sdtasdt0(sdtasdt0(X4,X5),X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).

cnf(c_0_62,hypothesis,
    ( esk11_1(X1) = sz00
    | sdtpldt0(X1,smndt0(sz10)) != sz00
    | ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]),c_0_55]),c_0_56]) ).

cnf(c_0_63,hypothesis,
    ( aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
    | ~ aInteger0(X1)
    | ~ sdteqdtlpzmzozddtrp0(X1,sz10,xp) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_64,plain,
    ( sdteqdtlpzmzozddtrp0(X1,X1,X2)
    | X2 = sz00
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_65,plain,
    ( sdtpldt0(sz00,sdtasdt0(sz10,sz10)) = sz10
    | ~ aInteger0(sdtasdt0(sz10,sz10)) ),
    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_30])]) ).

fof(c_0_66,plain,
    ! [X3,X4] :
      ( ~ aInteger0(X3)
      | ~ aInteger0(X4)
      | aInteger0(sdtasdt0(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntMult])]) ).

cnf(c_0_67,plain,
    ( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3)
    | ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_68,hypothesis,
    ( sdtasdt0(xp,sz00) = sdtpldt0(X1,smndt0(sz10))
    | sdtpldt0(X1,smndt0(sz10)) != sz00
    | ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
    inference(spm,[status(thm)],[c_0_53,c_0_62]) ).

cnf(c_0_69,hypothesis,
    aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_30]),c_0_54])]),c_0_55]) ).

cnf(c_0_70,plain,
    ( sdtasdt0(sz10,sz10) = sz10
    | ~ aInteger0(sdtasdt0(sz10,sz10)) ),
    inference(spm,[status(thm)],[c_0_32,c_0_65]) ).

cnf(c_0_71,plain,
    ( aInteger0(sdtasdt0(X1,X2))
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_72,plain,
    ( sdtasdt0(sz10,sdtasdt0(X1,X2)) = sdtasdt0(X1,X2)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_28]),c_0_30])]) ).

cnf(c_0_73,hypothesis,
    sdtasdt0(xp,sz00) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_48]),c_0_69]),c_0_30])]) ).

cnf(c_0_74,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,sz00)
    | ~ aInteger0(X1)
    | ~ aInteger0(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_48]),c_0_35]) ).

cnf(c_0_75,plain,
    sdtasdt0(sz10,sz10) = sz10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_30])]) ).

cnf(c_0_76,hypothesis,
    sdtasdt0(sz10,sz00) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_33]),c_0_54])]) ).

fof(c_0_77,hypothesis,
    ! [X3,X3,X5,X6,X6,X7,X7] :
      ( aSet0(sbsmnsldt0(xS))
      & ( aInteger0(X3)
        | ~ aElementOf0(X3,sbsmnsldt0(xS)) )
      & ( aElementOf0(esk4_1(X3),xS)
        | ~ aElementOf0(X3,sbsmnsldt0(xS)) )
      & ( aElementOf0(X3,esk4_1(X3))
        | ~ aElementOf0(X3,sbsmnsldt0(xS)) )
      & ( ~ aInteger0(X3)
        | ~ aElementOf0(X5,xS)
        | ~ aElementOf0(X3,X5)
        | aElementOf0(X3,sbsmnsldt0(xS)) )
      & aSet0(stldt0(sbsmnsldt0(xS)))
      & ( aInteger0(X6)
        | ~ aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
      & ( ~ aElementOf0(X6,sbsmnsldt0(xS))
        | ~ aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
      & ( ~ aInteger0(X6)
        | aElementOf0(X6,sbsmnsldt0(xS))
        | aElementOf0(X6,stldt0(sbsmnsldt0(xS))) )
      & ( ~ aElementOf0(X7,stldt0(sbsmnsldt0(xS)))
        | X7 = sz10
        | X7 = smndt0(sz10) )
      & ( X7 != sz10
        | aElementOf0(X7,stldt0(sbsmnsldt0(xS))) )
      & ( X7 != smndt0(sz10)
        | aElementOf0(X7,stldt0(sbsmnsldt0(xS))) )
      & stldt0(sbsmnsldt0(xS)) = cS2076 ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[m__2079])])])])])])])]) ).

fof(c_0_78,hypothesis,
    ! [X5,X7,X7,X9,X5,X10,X11,X11,X13] :
      ( aSet0(xS)
      & ( aInteger0(esk1_1(X5))
        | ~ aElementOf0(X5,xS) )
      & ( esk1_1(X5) != sz00
        | ~ aElementOf0(X5,xS) )
      & ( isPrime0(esk1_1(X5))
        | ~ aElementOf0(X5,xS) )
      & ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
        | ~ aElementOf0(X5,xS) )
      & ( aInteger0(X7)
        | ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
        | ~ aElementOf0(X5,xS) )
      & ( aInteger0(esk2_2(X5,X7))
        | ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
        | ~ aElementOf0(X5,xS) )
      & ( sdtasdt0(esk1_1(X5),esk2_2(X5,X7)) = sdtpldt0(X7,smndt0(sz00))
        | ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
        | ~ aElementOf0(X5,xS) )
      & ( aDivisorOf0(esk1_1(X5),sdtpldt0(X7,smndt0(sz00)))
        | ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
        | ~ aElementOf0(X5,xS) )
      & ( sdteqdtlpzmzozddtrp0(X7,sz00,esk1_1(X5))
        | ~ aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
        | ~ aElementOf0(X5,xS) )
      & ( ~ aInteger0(X9)
        | sdtasdt0(esk1_1(X5),X9) != sdtpldt0(X7,smndt0(sz00))
        | ~ aInteger0(X7)
        | aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
        | ~ aElementOf0(X5,xS) )
      & ( ~ aDivisorOf0(esk1_1(X5),sdtpldt0(X7,smndt0(sz00)))
        | ~ aInteger0(X7)
        | aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
        | ~ aElementOf0(X5,xS) )
      & ( ~ sdteqdtlpzmzozddtrp0(X7,sz00,esk1_1(X5))
        | ~ aInteger0(X7)
        | aElementOf0(X7,szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)))
        | ~ aElementOf0(X5,xS) )
      & ( szAzrzSzezqlpdtcmdtrp0(sz00,esk1_1(X5)) = X5
        | ~ aElementOf0(X5,xS) )
      & ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X10))
        | ~ aInteger0(X10)
        | X10 = sz00
        | ~ isPrime0(X10)
        | aElementOf0(X5,xS) )
      & ( aInteger0(X11)
        | ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
        | ~ aInteger0(X10)
        | X10 = sz00
        | ~ isPrime0(X10)
        | aElementOf0(X5,xS) )
      & ( aInteger0(esk3_3(X5,X10,X11))
        | ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
        | ~ aInteger0(X10)
        | X10 = sz00
        | ~ isPrime0(X10)
        | aElementOf0(X5,xS) )
      & ( sdtasdt0(X10,esk3_3(X5,X10,X11)) = sdtpldt0(X11,smndt0(sz00))
        | ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
        | ~ aInteger0(X10)
        | X10 = sz00
        | ~ isPrime0(X10)
        | aElementOf0(X5,xS) )
      & ( aDivisorOf0(X10,sdtpldt0(X11,smndt0(sz00)))
        | ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
        | ~ aInteger0(X10)
        | X10 = sz00
        | ~ isPrime0(X10)
        | aElementOf0(X5,xS) )
      & ( sdteqdtlpzmzozddtrp0(X11,sz00,X10)
        | ~ aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
        | ~ aInteger0(X10)
        | X10 = sz00
        | ~ isPrime0(X10)
        | aElementOf0(X5,xS) )
      & ( ~ aInteger0(X13)
        | sdtasdt0(X10,X13) != sdtpldt0(X11,smndt0(sz00))
        | ~ aInteger0(X11)
        | aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
        | ~ aInteger0(X10)
        | X10 = sz00
        | ~ isPrime0(X10)
        | aElementOf0(X5,xS) )
      & ( ~ aDivisorOf0(X10,sdtpldt0(X11,smndt0(sz00)))
        | ~ aInteger0(X11)
        | aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
        | ~ aInteger0(X10)
        | X10 = sz00
        | ~ isPrime0(X10)
        | aElementOf0(X5,xS) )
      & ( ~ sdteqdtlpzmzozddtrp0(X11,sz00,X10)
        | ~ aInteger0(X11)
        | aElementOf0(X11,szAzrzSzezqlpdtcmdtrp0(sz00,X10))
        | ~ aInteger0(X10)
        | X10 = sz00
        | ~ isPrime0(X10)
        | aElementOf0(X5,xS) )
      & ( szAzrzSzezqlpdtcmdtrp0(sz00,X10) != X5
        | ~ aInteger0(X10)
        | X10 = sz00
        | ~ isPrime0(X10)
        | aElementOf0(X5,xS) )
      & xS = cS2043 ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2046])])])])])])]) ).

cnf(c_0_79,plain,
    ( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_34]),c_0_35]) ).

cnf(c_0_80,plain,
    sdtpldt0(sz10,sdtasdt0(sz10,smndt0(sz10))) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_30])]) ).

cnf(c_0_81,hypothesis,
    stldt0(sbsmnsldt0(xS)) = cS2076,
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_82,hypothesis,
    xS = cS2043,
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_83,plain,
    ( sdtpldt0(sz00,sdtasdt0(sz10,smndt0(sz10))) = sdtpldt0(smndt0(sz10),sz00)
    | ~ aInteger0(sdtasdt0(sz10,smndt0(sz10))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_30])]) ).

cnf(c_0_84,hypothesis,
    ( aInteger0(X1)
    | ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_85,hypothesis,
    stldt0(sbsmnsldt0(cS2043)) = cS2076,
    inference(rw,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_86,hypothesis,
    ( aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
    | X1 != smndt0(sz10) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_87,plain,
    ( sdtasdt0(sz10,smndt0(sz10)) = sdtpldt0(smndt0(sz10),sz00)
    | ~ aInteger0(sdtasdt0(sz10,smndt0(sz10))) ),
    inference(spm,[status(thm)],[c_0_32,c_0_83]) ).

cnf(c_0_88,hypothesis,
    ( aInteger0(X1)
    | ~ aElementOf0(X1,cS2076) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_82]),c_0_85]) ).

cnf(c_0_89,hypothesis,
    ( aElementOf0(X1,cS2076)
    | X1 != smndt0(sz10) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_82]),c_0_85]) ).

cnf(c_0_90,plain,
    ( sdtasdt0(sdtpldt0(X3,X2),X1) = sdtpldt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1))
    | ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_91,hypothesis,
    ( sdtasdt0(sz10,smndt0(sz10)) = sdtpldt0(smndt0(sz10),sz00)
    | ~ aElementOf0(sdtasdt0(sz10,smndt0(sz10)),cS2076) ),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_92,hypothesis,
    aElementOf0(smndt0(sz10),cS2076),
    inference(er,[status(thm)],[c_0_89]) ).

cnf(c_0_93,plain,
    ( sdtpldt0(sdtasdt0(X1,smndt0(sz10)),sdtasdt0(X2,smndt0(sz10))) = smndt0(sdtpldt0(X1,X2))
    | ~ aInteger0(smndt0(sz10))
    | ~ aInteger0(X1)
    | ~ aInteger0(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_90]),c_0_31]) ).

cnf(c_0_94,plain,
    ( aInteger0(sdtpldt0(smndt0(sz10),sz00))
    | ~ aInteger0(sdtasdt0(sz10,smndt0(sz10))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_83]),c_0_33])]) ).

cnf(c_0_95,hypothesis,
    sdtpldt0(smndt0(sz10),sz00) = smndt0(sz10),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_41]),c_0_92]),c_0_30])]) ).

cnf(c_0_96,hypothesis,
    sdtpldt0(smndt0(xp),sdtasdt0(xp,sz10)) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_49]),c_0_54])]) ).

cnf(c_0_97,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_98,plain,
    ( sdtpldt0(smndt0(sz10),smndt0(sz10)) = smndt0(sdtpldt0(sz10,sz10))
    | ~ aInteger0(smndt0(sz10)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_93]),c_0_30])]) ).

cnf(c_0_99,plain,
    ( aInteger0(smndt0(sz10))
    | ~ aInteger0(sdtasdt0(sz10,smndt0(sz10))) ),
    inference(rw,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_100,hypothesis,
    sdtpldt0(smndt0(xp),xp) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_43]),c_0_54])]) ).

cnf(c_0_101,plain,
    ( sdtpldt0(X1,sdtpldt0(sz00,X2)) = sdtpldt0(X1,X2)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_97]),c_0_33])]) ).

cnf(c_0_102,plain,
    ( smndt0(sz00) = sz00
    | ~ aInteger0(smndt0(sz00)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_34]),c_0_33])]) ).

cnf(c_0_103,plain,
    ( sdtpldt0(sz00,smndt0(sz10)) = sdtpldt0(sz10,smndt0(sdtpldt0(sz10,sz10)))
    | ~ aInteger0(smndt0(sz10)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_98]),c_0_30])]) ).

cnf(c_0_104,hypothesis,
    ( aInteger0(smndt0(sz10))
    | ~ aElementOf0(sdtasdt0(sz10,smndt0(sz10)),cS2076) ),
    inference(spm,[status(thm)],[c_0_99,c_0_88]) ).

cnf(c_0_105,hypothesis,
    sdtpldt0(sz00,xp) = sdtpldt0(xp,sz00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_100]),c_0_54])]) ).

cnf(c_0_106,plain,
    ( sdtpldt0(sz00,sdtpldt0(X1,X2)) = sdtpldt0(X1,X2)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_32]),c_0_33])]) ).

cnf(c_0_107,plain,
    ( sdtpldt0(X1,sdtpldt0(X2,sz00)) = sdtpldt0(X1,X2)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_50]),c_0_33])]) ).

cnf(c_0_108,plain,
    smndt0(sz00) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_35]),c_0_33])]) ).

cnf(c_0_109,plain,
    ( sdtpldt0(sz10,smndt0(sdtpldt0(sz10,sz10))) = smndt0(sz10)
    | ~ aInteger0(smndt0(sz10)) ),
    inference(spm,[status(thm)],[c_0_32,c_0_103]) ).

cnf(c_0_110,hypothesis,
    aInteger0(smndt0(sz10)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_41]),c_0_92]),c_0_30])]) ).

cnf(c_0_111,plain,
    ( aInteger0(smndt0(sdtpldt0(sz10,sz10)))
    | ~ aInteger0(smndt0(sz10)) ),
    inference(spm,[status(thm)],[c_0_31,c_0_98]) ).

cnf(c_0_112,plain,
    ( aInteger0(sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)))
    | ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_29]),c_0_31]) ).

cnf(c_0_113,hypothesis,
    sdtpldt0(xp,sz00) = xp,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_105]),c_0_54])]) ).

cnf(c_0_114,plain,
    ( sdtpldt0(sz00,X1) = sdtpldt0(X1,sz00)
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_33])]) ).

cnf(c_0_115,plain,
    sdtpldt0(sz00,sz00) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_108]),c_0_33])]) ).

cnf(c_0_116,plain,
    sdtpldt0(sz10,smndt0(sdtpldt0(sz10,sz10))) = smndt0(sz10),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_110])]) ).

cnf(c_0_117,plain,
    aInteger0(smndt0(sdtpldt0(sz10,sz10))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_110])]) ).

cnf(c_0_118,plain,
    sdtpldt0(smndt0(sz10),smndt0(sz10)) = smndt0(sdtpldt0(sz10,sz10)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_110])]) ).

cnf(c_0_119,plain,
    ( aInteger0(smndt0(sdtpldt0(X1,X1)))
    | ~ aInteger0(smndt0(sz10))
    | ~ aInteger0(X1) ),
    inference(spm,[status(thm)],[c_0_112,c_0_93]) ).

cnf(c_0_120,hypothesis,
    ( sdtpldt0(sz00,sdtasdt0(xp,sz10)) = xp
    | ~ aInteger0(sdtasdt0(xp,sz10)) ),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_96]),c_0_54])]),c_0_113]) ).

cnf(c_0_121,plain,
    ( sdtpldt0(smndt0(X1),sdtpldt0(sz00,X1)) = sz00
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_114]),c_0_115]),c_0_33])]) ).

cnf(c_0_122,plain,
    sdtpldt0(sz00,smndt0(sdtpldt0(sz10,sz10))) = smndt0(sdtpldt0(sz10,sz10)),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_116]),c_0_117]),c_0_30])]),c_0_118]) ).

cnf(c_0_123,plain,
    ( aInteger0(smndt0(smndt0(sdtpldt0(sz10,sz10))))
    | ~ aInteger0(smndt0(sz10)) ),
    inference(spm,[status(thm)],[c_0_119,c_0_98]) ).

cnf(c_0_124,plain,
    ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_125,hypothesis,
    ( sdtasdt0(xp,sz10) = xp
    | ~ aInteger0(sdtasdt0(xp,sz10)) ),
    inference(spm,[status(thm)],[c_0_32,c_0_120]) ).

cnf(c_0_126,plain,
    ( aInteger0(sdtasdt0(X1,sdtasdt0(X2,X3)))
    | ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_67]),c_0_71]) ).

fof(c_0_127,plain,
    ! [X3,X4] :
      ( ~ aInteger0(X3)
      | ~ aInteger0(X4)
      | sdtasdt0(X3,X4) = sdtasdt0(X4,X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).

cnf(c_0_128,plain,
    sdtpldt0(smndt0(smndt0(sdtpldt0(sz10,sz10))),smndt0(sdtpldt0(sz10,sz10))) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_117])]) ).

cnf(c_0_129,plain,
    aInteger0(smndt0(smndt0(sdtpldt0(sz10,sz10)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_110])]) ).

fof(c_0_130,negated_conjecture,
    ~ ? [X1] :
        ( ( ( aInteger0(X1)
            & ( ? [X2] :
                  ( aInteger0(X2)
                  & sdtasdt0(xp,X2) = sdtpldt0(X1,smndt0(sz10)) )
              | aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
              | sdteqdtlpzmzozddtrp0(X1,sz10,xp) ) )
          | aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
        & ~ ( ( X1 = sz10
              | X1 = smndt0(sz10) )
            & aElementOf0(X1,cS2200) ) ),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_131,plain,
    ( sdtasdt0(smndt0(X1),X2) = sdtasdt0(smndt0(sz10),sdtasdt0(X1,X2))
    | ~ aInteger0(smndt0(sz10))
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_124]) ).

cnf(c_0_132,hypothesis,
    sdtasdt0(xp,sz10) = xp,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_71]),c_0_30]),c_0_54])]) ).

cnf(c_0_133,plain,
    ( aInteger0(sdtasdt0(X1,sz10))
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_75]),c_0_30])]) ).

cnf(c_0_134,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_127]) ).

fof(c_0_135,plain,
    ! [X2] :
      ( ( sdtasdt0(X2,sz00) = sz00
        | ~ aInteger0(X2) )
      & ( sz00 = sdtasdt0(sz00,X2)
        | ~ aInteger0(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulZero])])]) ).

cnf(c_0_136,plain,
    sdtpldt0(smndt0(sdtpldt0(sz10,sz10)),smndt0(smndt0(sdtpldt0(sz10,sz10)))) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_128]),c_0_117]),c_0_129])]) ).

fof(c_0_137,negated_conjecture,
    ! [X3,X4] :
      ( ( X3 = sz10
        | X3 = smndt0(sz10)
        | ~ aInteger0(X4)
        | sdtasdt0(xp,X4) != sdtpldt0(X3,smndt0(sz10))
        | ~ aInteger0(X3) )
      & ( aElementOf0(X3,cS2200)
        | ~ aInteger0(X4)
        | sdtasdt0(xp,X4) != sdtpldt0(X3,smndt0(sz10))
        | ~ aInteger0(X3) )
      & ( X3 = sz10
        | X3 = smndt0(sz10)
        | ~ aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10)))
        | ~ aInteger0(X3) )
      & ( aElementOf0(X3,cS2200)
        | ~ aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10)))
        | ~ aInteger0(X3) )
      & ( X3 = sz10
        | X3 = smndt0(sz10)
        | ~ sdteqdtlpzmzozddtrp0(X3,sz10,xp)
        | ~ aInteger0(X3) )
      & ( aElementOf0(X3,cS2200)
        | ~ sdteqdtlpzmzozddtrp0(X3,sz10,xp)
        | ~ aInteger0(X3) )
      & ( X3 = sz10
        | X3 = smndt0(sz10)
        | ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
      & ( aElementOf0(X3,cS2200)
        | ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_130])])])])])]) ).

cnf(c_0_138,plain,
    ( aInteger0(sdtpldt0(sz00,X1))
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_114]),c_0_33])]) ).

fof(c_0_139,plain,
    ! [X4,X5,X5,X7] :
      ( ( aInteger0(X5)
        | ~ aDivisorOf0(X5,X4)
        | ~ aInteger0(X4) )
      & ( X5 != sz00
        | ~ aDivisorOf0(X5,X4)
        | ~ aInteger0(X4) )
      & ( aInteger0(esk17_2(X4,X5))
        | ~ aDivisorOf0(X5,X4)
        | ~ aInteger0(X4) )
      & ( sdtasdt0(X5,esk17_2(X4,X5)) = X4
        | ~ aDivisorOf0(X5,X4)
        | ~ aInteger0(X4) )
      & ( ~ aInteger0(X5)
        | X5 = sz00
        | ~ aInteger0(X7)
        | sdtasdt0(X5,X7) != X4
        | aDivisorOf0(X5,X4)
        | ~ aInteger0(X4) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDivisor])])])])])])]) ).

cnf(c_0_140,plain,
    ( aInteger0(sdtpldt0(X1,sdtpldt0(X2,X3)))
    | ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_47]),c_0_31]) ).

cnf(c_0_141,hypothesis,
    ( sdtasdt0(smndt0(sz10),xp) = sdtasdt0(smndt0(xp),sz10)
    | ~ aInteger0(smndt0(sz10)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_30]),c_0_54])]) ).

cnf(c_0_142,plain,
    ( sdtasdt0(X1,sdtasdt0(sz10,X2)) = sdtasdt0(X1,X2)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_43]),c_0_30])]) ).

cnf(c_0_143,plain,
    ( aInteger0(sdtasdt0(sz10,X1))
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_30])]) ).

cnf(c_0_144,plain,
    ( sz00 = sdtasdt0(sz00,X1)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_135]) ).

cnf(c_0_145,hypothesis,
    ( sdtasdt0(xp,sdtasdt0(sz00,X1)) = sdtasdt0(sz00,X1)
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_73]),c_0_33]),c_0_54])]) ).

cnf(c_0_146,plain,
    ( sdtasdt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(X1,X2)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_67]),c_0_30])]),c_0_71]) ).

cnf(c_0_147,plain,
    sdtpldt0(smndt0(smndt0(sdtpldt0(sz10,sz10))),sz00) = sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(sz10,sz10)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_136]),c_0_129]),c_0_117])]) ).

cnf(c_0_148,negated_conjecture,
    ( X1 = smndt0(sz10)
    | X1 = sz10
    | ~ aInteger0(X1)
    | ~ aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10))) ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_149,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(sdtpldt0(sz00,X2),X1)
    | ~ aInteger0(X1)
    | ~ aInteger0(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_101]),c_0_138]) ).

cnf(c_0_150,hypothesis,
    sdtpldt0(sz00,xp) = xp,
    inference(rw,[status(thm)],[c_0_105,c_0_113]) ).

cnf(c_0_151,plain,
    ( aDivisorOf0(X2,X1)
    | X2 = sz00
    | ~ aInteger0(X1)
    | sdtasdt0(X2,X3) != X1
    | ~ aInteger0(X3)
    | ~ aInteger0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_139]) ).

cnf(c_0_152,plain,
    ( aInteger0(sdtpldt0(X1,sz10))
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_51]),c_0_30]),c_0_33])]) ).

cnf(c_0_153,hypothesis,
    ( sdtasdt0(smndt0(xp),sz10) = smndt0(xp)
    | ~ aInteger0(smndt0(sz10)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_141]),c_0_54])]) ).

cnf(c_0_154,hypothesis,
    ( sdtasdt0(smndt0(xp),sz10) = sdtasdt0(xp,smndt0(sz10))
    | ~ aInteger0(smndt0(sz10)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_141]),c_0_54])]) ).

cnf(c_0_155,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(sdtasdt0(sz10,X2),X1)
    | ~ aInteger0(X1)
    | ~ aInteger0(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_142]),c_0_143]) ).

cnf(c_0_156,hypothesis,
    sdtasdt0(sz10,xp) = xp,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_132]),c_0_30]),c_0_54])]) ).

cnf(c_0_157,plain,
    ( sdtasdt0(sz00,sdtasdt0(X1,X2)) = sdtasdt0(sz00,X2)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_144]),c_0_33])]) ).

cnf(c_0_158,hypothesis,
    sdtasdt0(sz00,sz10) = sz00,
    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_145,c_0_146]),c_0_73]),c_0_30]),c_0_33]),c_0_54])]) ).

cnf(c_0_159,plain,
    ( sdtpldt0(sdtpldt0(sz10,sz10),sz00) = sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(sz10,sz10))))
    | ~ aInteger0(sdtpldt0(sz10,sz10)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_136]),c_0_129])]) ).

cnf(c_0_160,plain,
    sdtpldt0(sz00,smndt0(smndt0(sdtpldt0(sz10,sz10)))) = smndt0(smndt0(sdtpldt0(sz10,sz10))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_147]),c_0_129])]) ).

cnf(c_0_161,negated_conjecture,
    ( X1 = smndt0(sz10)
    | X1 = sz10
    | ~ aDivisorOf0(xp,sdtpldt0(smndt0(sz10),X1))
    | ~ aInteger0(smndt0(sz10))
    | ~ aInteger0(X1) ),
    inference(spm,[status(thm)],[c_0_148,c_0_50]) ).

cnf(c_0_162,hypothesis,
    ( sdtpldt0(X1,xp) = sdtpldt0(xp,X1)
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_54])]) ).

cnf(c_0_163,plain,
    ( X1 = sz00
    | aDivisorOf0(X1,sdtasdt0(X1,X2))
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_151]),c_0_71]) ).

cnf(c_0_164,plain,
    ( aInteger0(sdtpldt0(sz10,X1))
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_50]),c_0_30])]) ).

cnf(c_0_165,hypothesis,
    ( sdtasdt0(xp,smndt0(sz10)) = smndt0(xp)
    | ~ aInteger0(smndt0(sz10)) ),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_166,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(sdtpldt0(X2,X3),X1)
    | ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_29]),c_0_31]) ).

cnf(c_0_167,plain,
    ( sdtpldt0(sdtasdt0(X1,sz10),sdtasdt0(X2,sz10)) = sdtpldt0(X1,X2)
    | ~ aInteger0(X1)
    | ~ aInteger0(X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_90]),c_0_30])]),c_0_31]) ).

cnf(c_0_168,hypothesis,
    ( sdtasdt0(X1,xp) = sdtasdt0(xp,X1)
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_54])]) ).

cnf(c_0_169,hypothesis,
    sdtasdt0(sz00,xp) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_132]),c_0_158]),c_0_30]),c_0_54])]) ).

cnf(c_0_170,plain,
    ( sdtpldt0(sdtpldt0(sz10,sz10),sz00) = smndt0(smndt0(sdtpldt0(sz10,sz10)))
    | ~ aInteger0(sdtpldt0(sz10,sz10)) ),
    inference(rw,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_171,plain,
    ( sdtpldt0(X1,sz10) = sdtpldt0(sz10,X1)
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_51]),c_0_30])]) ).

cnf(c_0_172,negated_conjecture,
    ( X1 = smndt0(sz10)
    | X1 = sz10
    | ~ aDivisorOf0(xp,sdtpldt0(smndt0(sz10),X1))
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_110])]) ).

cnf(c_0_173,hypothesis,
    ( sdtpldt0(smndt0(X1),sdtpldt0(xp,X1)) = xp
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_162]),c_0_105]),c_0_113]),c_0_54])]) ).

cnf(c_0_174,hypothesis,
    aDivisorOf0(xp,xp),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_132]),c_0_30]),c_0_54])]),c_0_55]) ).

cnf(c_0_175,hypothesis,
    aInteger0(sdtpldt0(xp,sz10)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_162]),c_0_54]),c_0_30])]) ).

cnf(c_0_176,hypothesis,
    ( aInteger0(smndt0(xp))
    | ~ aInteger0(smndt0(sz10)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_165]),c_0_54])]) ).

cnf(c_0_177,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(smndt0(X1),X2)) = sdtasdt0(sz00,X2)
    | ~ aInteger0(X1)
    | ~ aInteger0(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_48]),c_0_35]) ).

cnf(c_0_178,plain,
    ( sdtasdt0(sz10,sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2))) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2))
    | ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | ~ aInteger0(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_90]),c_0_31]) ).

cnf(c_0_179,hypothesis,
    ( aInteger0(sdtasdt0(X1,xp))
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_132]),c_0_30]),c_0_54])]) ).

cnf(c_0_180,plain,
    ( sdtasdt0(sdtpldt0(sz10,sz10),X1) = sdtpldt0(X1,X1)
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_30])]) ).

cnf(c_0_181,plain,
    ( sdtpldt0(X1,sdtpldt0(X2,smndt0(sdtpldt0(X1,X2)))) = sz00
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_47]),c_0_35]),c_0_31]) ).

cnf(c_0_182,hypothesis,
    ( aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))
    | ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_183,plain,
    ( sdtasdt0(X1,sz00) = sz00
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_135]) ).

cnf(c_0_184,plain,
    ( sdtasdt0(X1,sz00) = sdtpldt0(sdtasdt0(X1,sz10),smndt0(X1))
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_41]),c_0_30])]) ).

cnf(c_0_185,plain,
    ( sdtpldt0(sdtasdt0(sz00,X1),sdtasdt0(X2,X1)) = sdtasdt0(X2,X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_32]),c_0_33])]) ).

cnf(c_0_186,hypothesis,
    ( sdtasdt0(sz00,sdtasdt0(xp,X1)) = sz00
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_168]),c_0_169]),c_0_54])]) ).

cnf(c_0_187,plain,
    ( sdtasdt0(smndt0(sz10),X1) = smndt0(sdtasdt0(sz10,X1))
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_142]),c_0_110])]),c_0_143]) ).

cnf(c_0_188,plain,
    ( smndt0(smndt0(sdtpldt0(sz10,sz10))) = sdtpldt0(sz10,sz10)
    | ~ aInteger0(sdtpldt0(sz10,sz10)) ),
    inference(spm,[status(thm)],[c_0_97,c_0_170]) ).

cnf(c_0_189,plain,
    aInteger0(sdtpldt0(sz10,sz10)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_171]),c_0_30])]) ).

cnf(c_0_190,negated_conjecture,
    ( sdtpldt0(xp,sz10) = smndt0(sz10)
    | sdtpldt0(xp,sz10) = sz10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174]),c_0_175]),c_0_30])]) ).

cnf(c_0_191,hypothesis,
    aInteger0(smndt0(xp)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_88]),c_0_92])]) ).

cnf(c_0_192,plain,
    ( sdtasdt0(sz00,X1) = sdtpldt0(sdtasdt0(sz10,X1),smndt0(X1))
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_124]),c_0_30])]) ).

cnf(c_0_193,plain,
    ( sdtasdt0(sz10,sdtpldt0(X1,X1)) = sdtpldt0(X1,X1)
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_37]),c_0_30])]) ).

cnf(c_0_194,hypothesis,
    ( aInteger0(sdtpldt0(xp,xp))
    | ~ aInteger0(sdtpldt0(sz10,sz10)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_54])]) ).

cnf(c_0_195,negated_conjecture,
    ( sdtpldt0(X1,X2) = smndt0(sz10)
    | sdtpldt0(X1,X2) = sz10
    | ~ aDivisorOf0(xp,sdtpldt0(X1,sdtpldt0(X2,smndt0(sz10))))
    | ~ aInteger0(smndt0(sz10))
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_47]),c_0_31]) ).

cnf(c_0_196,plain,
    ( sdtpldt0(sz00,sdtpldt0(X1,smndt0(X1))) = sz00
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_32]),c_0_33])]) ).

cnf(c_0_197,hypothesis,
    aDivisorOf0(xp,sz00),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_48]),c_0_30])]),c_0_69])]) ).

cnf(c_0_198,plain,
    ( sdtpldt0(sdtasdt0(X1,sz10),smndt0(X1)) = sz00
    | ~ aInteger0(X1) ),
    inference(spm,[status(thm)],[c_0_183,c_0_184]) ).

cnf(c_0_199,plain,
    ( sdtasdt0(X1,sz10) = sdtpldt0(sz00,X1)
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_185]),c_0_33]),c_0_30])]) ).

cnf(c_0_200,plain,
    ( sdtpldt0(sdtasdt0(sz00,X1),X1) = X1
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_28]),c_0_30])]) ).

cnf(c_0_201,hypothesis,
    sdtasdt0(sz00,sdtasdt0(xp,xp)) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_168]),c_0_54])]) ).

cnf(c_0_202,hypothesis,
    aInteger0(sdtasdt0(xp,xp)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_168]),c_0_54])]) ).

cnf(c_0_203,plain,
    ( aInteger0(smndt0(sdtasdt0(sz10,X1)))
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_187]),c_0_110])]) ).

cnf(c_0_204,plain,
    smndt0(smndt0(sdtpldt0(sz10,sz10))) = sdtpldt0(sz10,sz10),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_189])]) ).

cnf(c_0_205,hypothesis,
    ( smndt0(sdtpldt0(sz10,sz10)) = xp
    | sdtpldt0(xp,sz10) = sz10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_190]),c_0_118]),c_0_30])]) ).

cnf(c_0_206,hypothesis,
    sdtpldt0(smndt0(smndt0(xp)),sz00) = xp,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_100]),c_0_54])]),c_0_105]),c_0_113]),c_0_191])]) ).

cnf(c_0_207,plain,
    ( sdtpldt0(sdtasdt0(sz10,X1),smndt0(X1)) = sz00
    | ~ aInteger0(X1) ),
    inference(spm,[status(thm)],[c_0_144,c_0_192]) ).

cnf(c_0_208,hypothesis,
    sdtasdt0(sz10,sdtpldt0(xp,xp)) = sdtpldt0(xp,xp),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_162]),c_0_54])]) ).

cnf(c_0_209,hypothesis,
    aInteger0(sdtpldt0(xp,xp)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_31]),c_0_30])]) ).

cnf(c_0_210,plain,
    ( aInteger0(smndt0(sdtpldt0(X1,X1)))
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_110])]) ).

cnf(c_0_211,negated_conjecture,
    ( sdtpldt0(sz00,sz10) = smndt0(sz10)
    | sdtpldt0(sz00,sz10) = sz10
    | ~ aInteger0(smndt0(sz10)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_197]),c_0_30]),c_0_33])]) ).

cnf(c_0_212,plain,
    ( sdtasdt0(X1,sdtasdt0(X2,sz00)) = sz00
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_67]),c_0_33])]),c_0_71]) ).

cnf(c_0_213,plain,
    ( sdtpldt0(sdtpldt0(sz00,X1),smndt0(X1)) = sz00
    | ~ aInteger0(X1) ),
    inference(spm,[status(thm)],[c_0_198,c_0_199]) ).

cnf(c_0_214,hypothesis,
    sdtpldt0(sz00,sdtasdt0(xp,xp)) = sdtasdt0(xp,xp),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_202])]) ).

cnf(c_0_215,plain,
    ( aInteger0(smndt0(sdtpldt0(sz00,X1)))
    | ~ aInteger0(X1) ),
    inference(spm,[status(thm)],[c_0_203,c_0_44]) ).

cnf(c_0_216,hypothesis,
    sdtasdt0(xp,sdtpldt0(sz10,sz10)) = sdtpldt0(xp,xp),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_168]),c_0_54]),c_0_189])]) ).

cnf(c_0_217,hypothesis,
    ( sdtpldt0(sz10,sz10) = smndt0(xp)
    | sdtpldt0(xp,sz10) = sz10 ),
    inference(spm,[status(thm)],[c_0_204,c_0_205]) ).

cnf(c_0_218,hypothesis,
    ( smndt0(smndt0(xp)) = xp
    | ~ aInteger0(smndt0(smndt0(xp))) ),
    inference(spm,[status(thm)],[c_0_97,c_0_206]) ).

cnf(c_0_219,hypothesis,
    sdtpldt0(sdtpldt0(xp,xp),smndt0(sdtpldt0(xp,xp))) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_209])]) ).

cnf(c_0_220,hypothesis,
    aInteger0(smndt0(sdtpldt0(xp,xp))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_162]),c_0_54])]) ).

cnf(c_0_221,plain,
    ( sdtpldt0(sdtasdt0(smndt0(X1),X2),sdtasdt0(X1,X2)) = sdtasdt0(sz00,X2)
    | ~ aInteger0(X1)
    | ~ aInteger0(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_34]),c_0_35]) ).

cnf(c_0_222,negated_conjecture,
    ( sdtpldt0(sz00,sz10) = sz10
    | smndt0(sz10) != sz10
    | ~ aInteger0(smndt0(sz10)) ),
    inference(ef,[status(thm)],[c_0_211]) ).

cnf(c_0_223,hypothesis,
    sdtasdt0(sz00,sz00) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_212]),c_0_33]),c_0_54])]) ).

cnf(c_0_224,hypothesis,
    sdtpldt0(sdtasdt0(xp,xp),smndt0(sdtasdt0(xp,xp))) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_202])]) ).

cnf(c_0_225,hypothesis,
    aInteger0(smndt0(sdtasdt0(xp,xp))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_214]),c_0_202])]) ).

cnf(c_0_226,hypothesis,
    ( sdtasdt0(xp,smndt0(xp)) = sdtpldt0(xp,xp)
    | sdtpldt0(xp,sz10) = sz10 ),
    inference(spm,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_227,hypothesis,
    smndt0(smndt0(xp)) = xp,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_35]),c_0_191])]) ).

cnf(c_0_228,hypothesis,
    sdtpldt0(smndt0(sdtpldt0(xp,xp)),sz00) = sdtpldt0(sz00,smndt0(sdtpldt0(xp,xp))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_219]),c_0_220]),c_0_209])]) ).

cnf(c_0_229,plain,
    ( sdtasdt0(sz00,X1) = sdtpldt0(smndt0(X1),sdtasdt0(sz10,X1))
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_124]),c_0_30])]) ).

cnf(c_0_230,negated_conjecture,
    ( sdtpldt0(sz00,sz10) = sz10
    | ~ aInteger0(smndt0(sz10)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_211]),c_0_30])]),c_0_222]) ).

cnf(c_0_231,hypothesis,
    sdtpldt0(sdtasdt0(sz00,smndt0(xp)),sz00) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_169]),c_0_223]),c_0_33]),c_0_54])]) ).

cnf(c_0_232,hypothesis,
    sdtpldt0(smndt0(sdtasdt0(xp,xp)),sz00) = sdtpldt0(sz00,smndt0(sdtasdt0(xp,xp))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_224]),c_0_225]),c_0_202])]) ).

cnf(c_0_233,hypothesis,
    ( sdtpldt0(sdtpldt0(xp,xp),sdtasdt0(xp,xp)) = sz00
    | sdtpldt0(xp,sz10) = sz10 ),
    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_74,c_0_226]),c_0_227]),c_0_73]),c_0_54]),c_0_191])]) ).

cnf(c_0_234,hypothesis,
    sdtpldt0(sz00,smndt0(sdtpldt0(xp,xp))) = smndt0(sdtpldt0(xp,xp)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_228]),c_0_220])]) ).

cnf(c_0_235,plain,
    ( sdtpldt0(smndt0(X1),sdtasdt0(sz10,X1)) = sz00
    | ~ aInteger0(X1) ),
    inference(spm,[status(thm)],[c_0_144,c_0_229]) ).

cnf(c_0_236,negated_conjecture,
    ( sdtpldt0(sz10,sz00) = sz10
    | ~ aInteger0(smndt0(sz10)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_230]),c_0_30]),c_0_33])]) ).

cnf(c_0_237,hypothesis,
    ( sdtasdt0(sz00,smndt0(xp)) = sz00
    | ~ aInteger0(sdtasdt0(sz00,smndt0(xp))) ),
    inference(spm,[status(thm)],[c_0_97,c_0_231]) ).

cnf(c_0_238,plain,
    ( sdtpldt0(smndt0(sdtpldt0(sz00,X1)),X1) = sz00
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_101]),c_0_35]),c_0_138]) ).

cnf(c_0_239,hypothesis,
    sdtpldt0(sz00,smndt0(sdtasdt0(xp,xp))) = smndt0(sdtasdt0(xp,xp)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_232]),c_0_225])]) ).

cnf(c_0_240,hypothesis,
    ( sdtpldt0(sz00,sdtasdt0(xp,xp)) = smndt0(sdtpldt0(xp,xp))
    | sdtpldt0(xp,sz10) = sz10 ),
    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_79,c_0_233]),c_0_228]),c_0_234]),c_0_202]),c_0_209])]) ).

cnf(c_0_241,hypothesis,
    sdtpldt0(smndt0(sdtpldt0(xp,xp)),sdtpldt0(xp,xp)) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_208]),c_0_209])]) ).

cnf(c_0_242,hypothesis,
    sdtpldt0(sz00,sdtpldt0(xp,xp)) = sdtpldt0(xp,xp),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_208]),c_0_76]),c_0_30]),c_0_209])]) ).

cnf(c_0_243,plain,
    sdtpldt0(sz00,sdtpldt0(sz10,smndt0(sz10))) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_51]),c_0_30]),c_0_33])]) ).

cnf(c_0_244,negated_conjecture,
    ( sdtpldt0(smndt0(sz10),sz10) = sz00
    | ~ aInteger0(smndt0(sz10)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_236]),c_0_115]),c_0_33]),c_0_30])]) ).

cnf(c_0_245,hypothesis,
    sdtasdt0(xp,smndt0(sz10)) = smndt0(xp),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_110])]) ).

cnf(c_0_246,hypothesis,
    sdtasdt0(sz00,smndt0(xp)) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_71]),c_0_191]),c_0_33])]) ).

cnf(c_0_247,hypothesis,
    sdtpldt0(smndt0(sdtasdt0(xp,xp)),sdtasdt0(xp,xp)) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_214]),c_0_202])]) ).

cnf(c_0_248,plain,
    ( smndt0(sdtasdt0(sz10,X1)) = smndt0(X1)
    | ~ aInteger0(X1) ),
    inference(spm,[status(thm)],[c_0_124,c_0_187]) ).

cnf(c_0_249,hypothesis,
    sdtpldt0(smndt0(sdtasdt0(xp,xp)),sz00) = smndt0(sdtasdt0(xp,xp)),
    inference(rw,[status(thm)],[c_0_232,c_0_239]) ).

cnf(c_0_250,hypothesis,
    ( sdtasdt0(xp,xp) = smndt0(sdtpldt0(xp,xp))
    | sdtpldt0(xp,sz10) = sz10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_240]),c_0_202])]) ).

cnf(c_0_251,hypothesis,
    sdtpldt0(smndt0(smndt0(sdtpldt0(xp,xp))),sz00) = sdtpldt0(xp,xp),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_241]),c_0_242]),c_0_209]),c_0_220])]) ).

cnf(c_0_252,plain,
    ( sdtpldt0(sz10,smndt0(sz10)) = sz00
    | ~ aInteger0(sdtpldt0(sz10,smndt0(sz10))) ),
    inference(spm,[status(thm)],[c_0_32,c_0_243]) ).

cnf(c_0_253,hypothesis,
    ( aInteger0(sdtpldt0(X1,smndt0(sz10)))
    | ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_53]),c_0_54])]),c_0_56]) ).

cnf(c_0_254,negated_conjecture,
    ( sdtpldt0(smndt0(smndt0(sz10)),sz00) = sdtpldt0(sz00,sz10)
    | ~ aInteger0(smndt0(sz10)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_244]),c_0_30])]) ).

cnf(c_0_255,hypothesis,
    sdtasdt0(sz00,smndt0(sz10)) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_245]),c_0_246]),c_0_110]),c_0_54])]) ).

cnf(c_0_256,hypothesis,
    sdtpldt0(smndt0(smndt0(sdtasdt0(xp,xp))),sz00) = sdtasdt0(xp,xp),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_247]),c_0_214]),c_0_202]),c_0_225])]) ).

cnf(c_0_257,hypothesis,
    aInteger0(smndt0(smndt0(sdtasdt0(xp,xp)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_239]),c_0_225])]) ).

cnf(c_0_258,plain,
    ( smndt0(sdtpldt0(sz00,X1)) = smndt0(X1)
    | ~ aInteger0(X1) ),
    inference(spm,[status(thm)],[c_0_248,c_0_44]) ).

cnf(c_0_259,hypothesis,
    ( smndt0(smndt0(sdtpldt0(xp,xp))) = sdtpldt0(xp,xp)
    | sdtpldt0(xp,sz10) = sz10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_251]) ).

cnf(c_0_260,hypothesis,
    sdtpldt0(sz10,smndt0(sz10)) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_69])]) ).

cnf(c_0_261,plain,
    ( sdtpldt0(smndt0(X1),sdtpldt0(sz10,X1)) = sz10
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_171]),c_0_51]),c_0_30])]) ).

cnf(c_0_262,negated_conjecture,
    ( sdtpldt0(sz00,sz10) = smndt0(smndt0(sz10))
    | ~ aInteger0(smndt0(sz10)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_254]),c_0_35]) ).

cnf(c_0_263,hypothesis,
    sdtpldt0(sz00,smndt0(sz10)) = smndt0(sz10),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_255]),c_0_110])]) ).

cnf(c_0_264,hypothesis,
    smndt0(smndt0(sdtasdt0(xp,xp))) = sdtasdt0(xp,xp),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_256]),c_0_257])]) ).

cnf(c_0_265,hypothesis,
    ( smndt0(sdtasdt0(xp,xp)) = smndt0(smndt0(sdtpldt0(xp,xp)))
    | sdtpldt0(xp,sz10) = sz10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_240]),c_0_202])]) ).

cnf(c_0_266,hypothesis,
    smndt0(smndt0(sdtpldt0(xp,xp))) = sdtpldt0(xp,xp),
    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_181,c_0_259]),c_0_260]),c_0_113]),c_0_30]),c_0_54])]),c_0_55]) ).

cnf(c_0_267,hypothesis,
    sdtpldt0(smndt0(xp),sdtpldt0(xp,sz10)) = sz10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_162]),c_0_54]),c_0_30])]) ).

cnf(c_0_268,negated_conjecture,
    ( smndt0(smndt0(sz10)) = sz10
    | ~ aInteger0(smndt0(sz10)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_262]),c_0_30])]) ).

cnf(c_0_269,hypothesis,
    ( aInteger0(sdtpldt0(X1,smndt0(sz10)))
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_263]),c_0_110]),c_0_33])]) ).

cnf(c_0_270,hypothesis,
    sdtpldt0(sdtasdt0(xp,xp),sdtpldt0(sz10,smndt0(sdtasdt0(xp,xp)))) = sz10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_264]),c_0_225])]) ).

cnf(c_0_271,hypothesis,
    ( smndt0(sdtasdt0(xp,xp)) = sdtpldt0(xp,xp)
    | sdtpldt0(xp,sz10) = sz10 ),
    inference(rw,[status(thm)],[c_0_265,c_0_266]) ).

cnf(c_0_272,plain,
    ( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(X3,sdtpldt0(X1,X2))
    | ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_47]),c_0_31]) ).

cnf(c_0_273,hypothesis,
    sdtpldt0(sz00,sdtpldt0(xp,sz10)) = sdtpldt0(xp,sz10),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_267]),c_0_227]),c_0_175]),c_0_191])]) ).

cnf(c_0_274,negated_conjecture,
    smndt0(smndt0(sz10)) = sz10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_268,c_0_110])]) ).

cnf(c_0_275,hypothesis,
    ( aInteger0(sdtpldt0(smndt0(sz10),X1))
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_50]),c_0_110])]) ).

cnf(c_0_276,hypothesis,
    ( sdtpldt0(sdtasdt0(xp,xp),sdtpldt0(sz10,sdtpldt0(xp,xp))) = sz10
    | sdtpldt0(xp,sz10) = sz10 ),
    inference(spm,[status(thm)],[c_0_270,c_0_271]) ).

cnf(c_0_277,hypothesis,
    sdtpldt0(sz10,xp) = sdtpldt0(xp,sz10),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_105]),c_0_113]),c_0_30]),c_0_54]),c_0_33])]) ).

cnf(c_0_278,negated_conjecture,
    ( sdtpldt0(xp,sz10) = sz10
    | smndt0(sz10) != sz10 ),
    inference(ef,[status(thm)],[c_0_190]) ).

cnf(c_0_279,negated_conjecture,
    sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10))) = xp,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_274]),c_0_110])]) ).

cnf(c_0_280,hypothesis,
    aInteger0(sdtpldt0(xp,smndt0(sz10))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_162]),c_0_54]),c_0_110])]) ).

cnf(c_0_281,hypothesis,
    ( sdtpldt0(sdtasdt0(xp,xp),sdtpldt0(xp,sdtpldt0(xp,sz10))) = sz10
    | sdtpldt0(xp,sz10) = sz10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_272]),c_0_277]),c_0_54]),c_0_30])]) ).

cnf(c_0_282,negated_conjecture,
    smndt0(sz10) != sz10,
    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_181,c_0_278]),c_0_260]),c_0_113]),c_0_30]),c_0_54])]),c_0_55]) ).

cnf(c_0_283,negated_conjecture,
    sdtpldt0(smndt0(sz10),xp) = sdtpldt0(sz00,sdtpldt0(xp,smndt0(sz10))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_279]),c_0_280]),c_0_30])]) ).

cnf(c_0_284,negated_conjecture,
    ( sdtpldt0(sdtasdt0(xp,xp),sdtpldt0(xp,smndt0(sz10))) = sz10
    | sdtpldt0(xp,sz10) = sz10 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_190]),c_0_282]) ).

cnf(c_0_285,negated_conjecture,
    sdtpldt0(sz00,sdtpldt0(xp,smndt0(sz10))) = sdtpldt0(xp,smndt0(sz10)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_283]),c_0_54]),c_0_110])]) ).

cnf(c_0_286,negated_conjecture,
    ( sdtpldt0(smndt0(sdtasdt0(xp,xp)),sz10) = sdtpldt0(xp,smndt0(sz10))
    | sdtpldt0(xp,sz10) = sz10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_284]),c_0_285]),c_0_280]),c_0_202])]) ).

cnf(c_0_287,hypothesis,
    ( sdtpldt0(sdtpldt0(xp,xp),sz10) = sdtpldt0(xp,smndt0(sz10))
    | sdtpldt0(xp,sz10) = sz10 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_250]),c_0_266]) ).

cnf(c_0_288,hypothesis,
    ( sdtpldt0(sz10,sdtpldt0(xp,xp)) = sdtpldt0(xp,smndt0(sz10))
    | sdtpldt0(xp,sz10) = sz10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_287]),c_0_30]),c_0_209])]) ).

cnf(c_0_289,hypothesis,
    ( sdtpldt0(smndt0(sz10),sdtpldt0(xp,smndt0(sz10))) = sdtpldt0(xp,xp)
    | sdtpldt0(xp,sz10) = sz10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_288]),c_0_242]),c_0_209]),c_0_30])]) ).

cnf(c_0_290,hypothesis,
    aDivisorOf0(xp,sdtpldt0(xp,xp)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_216]),c_0_189]),c_0_54])]),c_0_55]) ).

cnf(c_0_291,negated_conjecture,
    ( sdtpldt0(xp,smndt0(sz10)) = smndt0(sz10)
    | sdtpldt0(xp,smndt0(sz10)) = sz10
    | sdtpldt0(xp,sz10) = sz10 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_289]),c_0_290]),c_0_280])]) ).

cnf(c_0_292,plain,
    sdtpldt0(smndt0(sz10),sz10) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_60]),c_0_115]),c_0_33]),c_0_30])]) ).

cnf(c_0_293,hypothesis,
    ( sdtpldt0(sz10,sz10) = sz00
    | sdtpldt0(xp,xp) != sz00 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_216]),c_0_54]),c_0_189])]),c_0_55]) ).

cnf(c_0_294,hypothesis,
    sdtpldt0(smndt0(sdtpldt0(xp,sz10)),sdtpldt0(xp,sz10)) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_273]),c_0_175])]) ).

cnf(c_0_295,hypothesis,
    aInteger0(smndt0(sdtpldt0(xp,sz10))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_273]),c_0_175])]) ).

cnf(c_0_296,negated_conjecture,
    ( sdtpldt0(xp,smndt0(sz10)) = sz10
    | sdtpldt0(xp,sz10) = sz10 ),
    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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_291]),c_0_274]),c_0_292]),c_0_113]),c_0_110]),c_0_54])]),c_0_55]) ).

cnf(c_0_297,hypothesis,
    sdtpldt0(xp,xp) != sz00,
    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_79,c_0_293]),c_0_95]),c_0_51]),c_0_30])]),c_0_282]) ).

cnf(c_0_298,hypothesis,
    sdtpldt0(sz10,sdtpldt0(smndt0(sdtpldt0(xp,sz10)),xp)) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_294]),c_0_30]),c_0_54]),c_0_295])]) ).

cnf(c_0_299,hypothesis,
    sdtpldt0(xp,sz10) = sz10,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_296]),c_0_292]),c_0_297]) ).

cnf(c_0_300,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_298,c_0_299]),c_0_283]),c_0_285]),c_0_279]),c_0_55]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : NUM451+6 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : run_ET %s %d
% 0.12/0.32  % Computer : n006.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Wed Jul  6 12:24:06 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.22/3.40  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/3.40  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/3.40  # Preprocessing time       : 0.030 s
% 0.22/3.40  
% 0.22/3.40  # Proof found!
% 0.22/3.40  # SZS status Theorem
% 0.22/3.40  # SZS output start CNFRefutation
% See solution above
% 0.22/3.40  # Proof object total steps             : 301
% 0.22/3.40  # Proof object clause steps            : 258
% 0.22/3.40  # Proof object formula steps           : 43
% 0.22/3.40  # Proof object conjectures             : 26
% 0.22/3.40  # Proof object clause conjectures      : 23
% 0.22/3.40  # Proof object formula conjectures     : 3
% 0.22/3.40  # Proof object initial clauses used    : 35
% 0.22/3.40  # Proof object initial formulas used   : 22
% 0.22/3.40  # Proof object generating inferences   : 205
% 0.22/3.40  # Proof object simplifying inferences  : 486
% 0.22/3.40  # Training examples: 0 positive, 0 negative
% 0.22/3.40  # Parsed axioms                        : 47
% 0.22/3.40  # Removed by relevancy pruning/SinE    : 4
% 0.22/3.40  # Initial clauses                      : 204
% 0.22/3.40  # Removed in clause preprocessing      : 5
% 0.22/3.40  # Initial clauses in saturation        : 199
% 0.22/3.40  # Processed clauses                    : 16808
% 0.22/3.40  # ...of these trivial                  : 462
% 0.22/3.40  # ...subsumed                          : 13352
% 0.22/3.40  # ...remaining for further processing  : 2994
% 0.22/3.40  # Other redundant clauses eliminated   : 26
% 0.22/3.40  # Clauses deleted for lack of memory   : 0
% 0.22/3.40  # Backward-subsumed                    : 282
% 0.22/3.40  # Backward-rewritten                   : 1007
% 0.22/3.40  # Generated clauses                    : 91490
% 0.22/3.40  # ...of the previous two non-trivial   : 80430
% 0.22/3.40  # Contextual simplify-reflections      : 2732
% 0.22/3.40  # Paramodulations                      : 91292
% 0.22/3.40  # Factorizations                       : 21
% 0.22/3.40  # Equation resolutions                 : 172
% 0.22/3.40  # Current number of processed clauses  : 1700
% 0.22/3.40  #    Positive orientable unit clauses  : 231
% 0.22/3.40  #    Positive unorientable unit clauses: 0
% 0.22/3.40  #    Negative unit clauses             : 72
% 0.22/3.40  #    Non-unit-clauses                  : 1397
% 0.22/3.40  # Current number of unprocessed clauses: 35375
% 0.22/3.40  # ...number of literals in the above   : 185417
% 0.22/3.40  # Current number of archived formulas  : 0
% 0.22/3.40  # Current number of archived clauses   : 1294
% 0.22/3.40  # Clause-clause subsumption calls (NU) : 1836313
% 0.22/3.40  # Rec. Clause-clause subsumption calls : 780249
% 0.22/3.40  # Non-unit clause-clause subsumptions  : 10067
% 0.22/3.40  # Unit Clause-clause subsumption calls : 90913
% 0.22/3.40  # Rewrite failures with RHS unbound    : 0
% 0.22/3.40  # BW rewrite match attempts            : 214
% 0.22/3.40  # BW rewrite match successes           : 92
% 0.22/3.40  # Condensation attempts                : 0
% 0.22/3.40  # Condensation successes               : 0
% 0.22/3.40  # Termbank termtop insertions          : 1847103
% 0.22/3.40  
% 0.22/3.40  # -------------------------------------------------
% 0.22/3.40  # User time                : 2.936 s
% 0.22/3.40  # System time              : 0.031 s
% 0.22/3.40  # Total time               : 2.967 s
% 0.22/3.40  # Maximum resident set size: 45168 pages
% 0.22/23.38  eprover: CPU time limit exceeded, terminating
% 0.22/23.39  eprover: CPU time limit exceeded, terminating
% 0.22/23.39  eprover: CPU time limit exceeded, terminating
% 0.22/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.41  eprover: No such file or directory
% 0.22/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.41  eprover: No such file or directory
% 0.22/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.41  eprover: No such file or directory
% 0.22/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.41  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47  eprover: No such file or directory
%------------------------------------------------------------------------------