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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : NUM583+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:49:39 PM UTC 2026

% Result   : Theorem 6.13s 1.32s
% Output   : CNFRefutation 6.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  103 (  25 unt;   0 def)
%            Number of atoms       :  491 (  96 equ)
%            Maximal formula atoms :   54 (   4 avg)
%            Number of connectives :  646 ( 258   ~; 284   |;  70   &)
%                                         (  12 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   23 (  23 usr;   9 con; 0-3 aty)
%            Number of variables   :  153 (   0 sgn  78   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mDefSel,axiom,
    ! [X1,X2] :
      ( ( aElementOf0(X2,szNzAzT0)
        & aSet0(X1) )
     => ! [X3] :
          ( X3 = slbdtsldtrb0(X1,X2)
        <=> ( ! [X4] :
                ( aElementOf0(X4,X3)
              <=> ( sbrdtbr0(X4) = X2
                  & aSubsetOf0(X4,X1) ) )
            & aSet0(X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).

fof(mDefDiff,axiom,
    ! [X1,X2] :
      ( ( aElement0(X2)
        & aSet0(X1) )
     => ! [X3] :
          ( X3 = sdtmndt0(X1,X2)
        <=> ( ! [X4] :
                ( aElementOf0(X4,X3)
              <=> ( X4 != X2
                  & aElementOf0(X4,X1)
                  & aElement0(X4) ) )
            & aSet0(X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).

fof(mDefSub,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ! [X2] :
          ( aSubsetOf0(X2,X1)
        <=> ( ! [X3] :
                ( aElementOf0(X3,X2)
               => aElementOf0(X3,X1) )
            & aSet0(X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).

fof(m__3989_02,hypothesis,
    aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3989_02) ).

fof(m__3533,hypothesis,
    ( szszuzczcdt0(xk) = xK
    & aElementOf0(xk,szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).

fof(m__3435,hypothesis,
    ( isCountable0(xS)
    & aSubsetOf0(xS,szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).

fof(mNATSet,axiom,
    ( isCountable0(szNzAzT0)
    & aSet0(szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).

fof(mDefMin,axiom,
    ! [X1] :
      ( ( X1 != slcrc0
        & aSubsetOf0(X1,szNzAzT0) )
     => ! [X2] :
          ( X2 = szmzizndt0(X1)
        <=> ( ! [X3] :
                ( aElementOf0(X3,X1)
               => sdtlseqdt0(X2,X3) )
            & aElementOf0(X2,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).

fof(mSubTrans,axiom,
    ! [X1,X2,X3] :
      ( ( aSet0(X3)
        & aSet0(X2)
        & aSet0(X1) )
     => ( ( aSubsetOf0(X2,X3)
          & aSubsetOf0(X1,X2) )
       => aSubsetOf0(X1,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubTrans) ).

fof(m__4037,hypothesis,
    aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4037) ).

fof(mEOfElem,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ! [X2] :
          ( aElementOf0(X2,X1)
         => aElement0(X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).

fof(mCountNFin_01,axiom,
    ! [X1] :
      ( ( isCountable0(X1)
        & aSet0(X1) )
     => X1 != slcrc0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin_01) ).

fof(mDefEmp,axiom,
    ! [X1] :
      ( X1 = slcrc0
    <=> ( ~ ? [X2] : aElementOf0(X2,X1)
        & aSet0(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).

fof(mDefCons,axiom,
    ! [X1,X2] :
      ( ( aElement0(X2)
        & aSet0(X1) )
     => ! [X3] :
          ( X3 = sdtpldt0(X1,X2)
        <=> ( ! [X4] :
                ( aElementOf0(X4,X3)
              <=> ( ( X4 = X2
                    | aElementOf0(X4,X1) )
                  & aElement0(X4) ) )
            & aSet0(X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefCons) ).

fof(m__3671,hypothesis,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => ( isCountable0(sdtlpdtrp0(xN,X1))
        & aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).

fof(m__3754,hypothesis,
    ! [X1,X2] :
      ( ( aElementOf0(X2,szNzAzT0)
        & aElementOf0(X1,szNzAzT0) )
     => ( sdtlseqdt0(X2,X1)
       => aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).

fof(m__3623,hypothesis,
    ( ! [X1] :
        ( aElementOf0(X1,szNzAzT0)
       => ( ( isCountable0(sdtlpdtrp0(xN,X1))
            & aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) )
         => ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
            & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) )
    & sdtlpdtrp0(xN,sz00) = xS
    & szDzozmdt0(xN) = szNzAzT0
    & aFunction0(xN) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).

fof(mZeroLess,axiom,
    ! [X1] :
      ( aElementOf0(X1,szNzAzT0)
     => sdtlseqdt0(sz00,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).

fof(m__3989,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3989) ).

fof(m__,conjecture,
    aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(mZeroNum,axiom,
    aElementOf0(sz00,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).

fof(c_0_21,plain,
    ! [X120,X121,X122,X123,X124,X125] :
      ( ( ~ aElementOf0(X121,szNzAzT0)
        | ~ aSet0(X120)
        | X125 = slbdtsldtrb0(X120,X121)
        | ~ aSet0(X125)
        | aElementOf0(esk11_3(X120,X121,X125),X125)
        | sbrdtbr0(esk11_3(X120,X121,X125)) = X121 )
      & ( ~ aElementOf0(X121,szNzAzT0)
        | ~ aSet0(X120)
        | X125 = slbdtsldtrb0(X120,X121)
        | ~ aSet0(X125)
        | aElementOf0(esk11_3(X120,X121,X125),X125)
        | aSubsetOf0(esk11_3(X120,X121,X125),X120) )
      & ( ~ aElementOf0(X121,szNzAzT0)
        | ~ aSet0(X120)
        | X125 = slbdtsldtrb0(X120,X121)
        | ~ aSet0(X125)
        | sbrdtbr0(esk11_3(X120,X121,X125)) != X121
        | ~ aSubsetOf0(esk11_3(X120,X121,X125),X120)
        | ~ aElementOf0(esk11_3(X120,X121,X125),X125) )
      & ( ~ aElementOf0(X121,szNzAzT0)
        | ~ aSet0(X120)
        | X122 != slbdtsldtrb0(X120,X121)
        | aElementOf0(X124,X122)
        | sbrdtbr0(X124) != X121
        | ~ aSubsetOf0(X124,X120) )
      & ( ~ aElementOf0(X121,szNzAzT0)
        | ~ aSet0(X120)
        | X122 != slbdtsldtrb0(X120,X121)
        | ~ aElementOf0(X123,X122)
        | sbrdtbr0(X123) = X121 )
      & ( ~ aElementOf0(X121,szNzAzT0)
        | ~ aSet0(X120)
        | X122 != slbdtsldtrb0(X120,X121)
        | ~ aElementOf0(X123,X122)
        | aSubsetOf0(X123,X120) )
      & ( ~ aElementOf0(X121,szNzAzT0)
        | ~ aSet0(X120)
        | X122 != slbdtsldtrb0(X120,X121)
        | aSet0(X122) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSel])])])])])])]) ).

cnf(c_0_22,plain,
    ( ~ aElementOf0(X4,szNzAzT0)
    | ~ aSet0(X2)
    | X3 != slbdtsldtrb0(X2,X4)
    | ~ aElementOf0(X1,X3)
    | aSubsetOf0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_23,plain,
    ! [X1,X2] :
      ( ( aElement0(X2)
        & aSet0(X1) )
     => ! [X3] :
          ( X3 = sdtmndt0(X1,X2)
        <=> ( ! [X4] :
                ( aElementOf0(X4,X3)
              <=> ( X4 != X2
                  & aElementOf0(X4,X1)
                  & aElement0(X4) ) )
            & aSet0(X3) ) ) ),
    inference(fof_simplification,[status(thm)],[mDefDiff]) ).

fof(c_0_24,plain,
    ! [X19,X20,X21,X22] :
      ( ( ~ aSet0(X19)
        | aSubsetOf0(X22,X19)
        | ~ aSet0(X22)
        | ~ aElementOf0(esk2_2(X19,X22),X19) )
      & ( ~ aSet0(X19)
        | aSubsetOf0(X22,X19)
        | ~ aSet0(X22)
        | aElementOf0(esk2_2(X19,X22),X22) )
      & ( ~ aSet0(X19)
        | ~ aSubsetOf0(X20,X19)
        | aElementOf0(X21,X19)
        | ~ aElementOf0(X21,X20) )
      & ( ~ aSet0(X19)
        | ~ aSubsetOf0(X20,X19)
        | aSet0(X20) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSub])])])])])])]) ).

cnf(c_0_25,plain,
    ( ~ aSet0(X2)
    | ~ aElementOf0(X3,szNzAzT0)
    | ~ aElementOf0(X1,slbdtsldtrb0(X2,X3))
    | aSubsetOf0(X1,X2) ),
    inference(er,[status(thm)],[c_0_22]) ).

cnf(c_0_26,hypothesis,
    aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
    inference(split_conjunct,[status(thm)],[m__3989_02]) ).

cnf(c_0_27,hypothesis,
    aElementOf0(xk,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__3533]) ).

fof(c_0_28,plain,
    ! [X39,X40,X41,X42,X43,X44] :
      ( ( ~ aElement0(X40)
        | ~ aSet0(X39)
        | X44 = sdtmndt0(X39,X40)
        | ~ aSet0(X44)
        | aElementOf0(esk4_3(X39,X40,X44),X44)
        | esk4_3(X39,X40,X44) != X40 )
      & ( ~ aElement0(X40)
        | ~ aSet0(X39)
        | X44 = sdtmndt0(X39,X40)
        | ~ aSet0(X44)
        | aElementOf0(esk4_3(X39,X40,X44),X44)
        | aElementOf0(esk4_3(X39,X40,X44),X39) )
      & ( ~ aElement0(X40)
        | ~ aSet0(X39)
        | X44 = sdtmndt0(X39,X40)
        | ~ aSet0(X44)
        | aElementOf0(esk4_3(X39,X40,X44),X44)
        | aElement0(esk4_3(X39,X40,X44)) )
      & ( ~ aElement0(X40)
        | ~ aSet0(X39)
        | X44 = sdtmndt0(X39,X40)
        | ~ aSet0(X44)
        | esk4_3(X39,X40,X44) = X40
        | ~ aElementOf0(esk4_3(X39,X40,X44),X39)
        | ~ aElement0(esk4_3(X39,X40,X44))
        | ~ aElementOf0(esk4_3(X39,X40,X44),X44) )
      & ( ~ aElement0(X40)
        | ~ aSet0(X39)
        | X41 != sdtmndt0(X39,X40)
        | aElementOf0(X43,X41)
        | X43 = X40
        | ~ aElementOf0(X43,X39)
        | ~ aElement0(X43) )
      & ( ~ aElement0(X40)
        | ~ aSet0(X39)
        | X41 != sdtmndt0(X39,X40)
        | ~ aElementOf0(X42,X41)
        | X42 != X40 )
      & ( ~ aElement0(X40)
        | ~ aSet0(X39)
        | X41 != sdtmndt0(X39,X40)
        | ~ aElementOf0(X42,X41)
        | aElementOf0(X42,X39) )
      & ( ~ aElement0(X40)
        | ~ aSet0(X39)
        | X41 != sdtmndt0(X39,X40)
        | ~ aElementOf0(X42,X41)
        | aElement0(X42) )
      & ( ~ aElement0(X40)
        | ~ aSet0(X39)
        | X41 != sdtmndt0(X39,X40)
        | aSet0(X41) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])])])])]) ).

cnf(c_0_29,plain,
    ( ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2)
    | aSet0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_30,hypothesis,
    aSubsetOf0(xS,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__3435]) ).

cnf(c_0_31,plain,
    aSet0(szNzAzT0),
    inference(split_conjunct,[status(thm)],[mNATSet]) ).

fof(c_0_32,plain,
    ! [X1] :
      ( ( X1 != slcrc0
        & aSubsetOf0(X1,szNzAzT0) )
     => ! [X2] :
          ( X2 = szmzizndt0(X1)
        <=> ( ! [X3] :
                ( aElementOf0(X3,X1)
               => sdtlseqdt0(X2,X3) )
            & aElementOf0(X2,X1) ) ) ),
    inference(fof_simplification,[status(thm)],[mDefMin]) ).

fof(c_0_33,plain,
    ! [X29,X30,X31] :
      ( aSubsetOf0(X29,X31)
      | ~ aSubsetOf0(X30,X31)
      | ~ aSubsetOf0(X29,X30)
      | ~ aSet0(X31)
      | ~ aSet0(X30)
      | ~ aSet0(X29) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])])]) ).

cnf(c_0_34,plain,
    ( ~ aSet0(X3)
    | ~ aSubsetOf0(X2,X3)
    | ~ aElementOf0(X1,X2)
    | aElementOf0(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_35,hypothesis,
    ( ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    | aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).

cnf(c_0_36,plain,
    ( ~ aElement0(X3)
    | ~ aSet0(X2)
    | X1 != sdtmndt0(X2,X3)
    | aSet0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_37,hypothesis,
    aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    inference(split_conjunct,[status(thm)],[m__4037]) ).

cnf(c_0_38,hypothesis,
    aSet0(xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).

fof(c_0_39,plain,
    ! [X94,X95,X96,X97] :
      ( ( X94 = slcrc0
        | ~ aSubsetOf0(X94,szNzAzT0)
        | X97 = szmzizndt0(X94)
        | ~ aElementOf0(X97,X94)
        | ~ sdtlseqdt0(X97,esk7_2(X94,X97)) )
      & ( X94 = slcrc0
        | ~ aSubsetOf0(X94,szNzAzT0)
        | X97 = szmzizndt0(X94)
        | ~ aElementOf0(X97,X94)
        | aElementOf0(esk7_2(X94,X97),X94) )
      & ( X94 = slcrc0
        | ~ aSubsetOf0(X94,szNzAzT0)
        | X95 != szmzizndt0(X94)
        | sdtlseqdt0(X95,X96)
        | ~ aElementOf0(X96,X94) )
      & ( X94 = slcrc0
        | ~ aSubsetOf0(X94,szNzAzT0)
        | X95 != szmzizndt0(X94)
        | aElementOf0(X95,X94) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])])])])]) ).

cnf(c_0_40,plain,
    ( ~ aSubsetOf0(X2,X3)
    | ~ aSubsetOf0(X1,X2)
    | ~ aSet0(X3)
    | ~ aSet0(X2)
    | ~ aSet0(X1)
    | aSubsetOf0(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_41,plain,
    ( ~ aElement0(X4)
    | ~ aSet0(X2)
    | X3 != sdtmndt0(X2,X4)
    | ~ aElementOf0(X1,X3)
    | aElementOf0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_42,hypothesis,
    ( ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    | ~ aElementOf0(X1,xQ)
    | aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_43,plain,
    ( ~ aSet0(X1)
    | ~ aElement0(X2)
    | aSet0(sdtmndt0(X1,X2)) ),
    inference(er,[status(thm)],[c_0_36]) ).

cnf(c_0_44,hypothesis,
    aSet0(sdtlpdtrp0(xN,xi)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_37]),c_0_38])]) ).

fof(c_0_45,plain,
    ! [X9,X10] :
      ( aElement0(X10)
      | ~ aElementOf0(X10,X9)
      | ~ aSet0(X9) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])]) ).

cnf(c_0_46,plain,
    ( ~ aSubsetOf0(X2,szNzAzT0)
    | X1 != szmzizndt0(X2)
    | X2 = slcrc0
    | aElementOf0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_47,plain,
    ( ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X3)
    | ~ aSubsetOf0(X3,X2)
    | aSubsetOf0(X1,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_40,c_0_29]),c_0_29]) ).

fof(c_0_48,plain,
    ! [X1] :
      ( ( isCountable0(X1)
        & aSet0(X1) )
     => X1 != slcrc0 ),
    inference(fof_simplification,[status(thm)],[mCountNFin_01]) ).

fof(c_0_49,plain,
    ! [X12,X13,X14] :
      ( ( X14 = slcrc0
        | aElementOf0(esk1_1(X14),X14)
        | ~ aSet0(X14) )
      & ( X12 != slcrc0
        | ~ aElementOf0(X13,X12) )
      & ( X12 != slcrc0
        | aSet0(X12) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefEmp])])])])])])]) ).

cnf(c_0_50,plain,
    ( ~ aSet0(X2)
    | ~ aElement0(X3)
    | ~ aElementOf0(X1,sdtmndt0(X2,X3))
    | aElementOf0(X1,X2) ),
    inference(er,[status(thm)],[c_0_41]) ).

cnf(c_0_51,hypothesis,
    ( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
    | ~ aElementOf0(X1,xQ)
    | aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]) ).

cnf(c_0_52,plain,
    ( ~ aElementOf0(X2,X1)
    | ~ aSet0(X1)
    | aElement0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_53,plain,
    ( ~ aSubsetOf0(X1,szNzAzT0)
    | aElementOf0(szmzizndt0(X1),X1)
    | X1 = slcrc0 ),
    inference(er,[status(thm)],[c_0_46]) ).

cnf(c_0_54,hypothesis,
    ( ~ aSubsetOf0(X1,xS)
    | aSubsetOf0(X1,szNzAzT0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_30]),c_0_31])]) ).

fof(c_0_55,plain,
    ! [X32,X33,X34,X35,X36,X37] :
      ( ( ~ aElement0(X33)
        | ~ aSet0(X32)
        | X37 = sdtpldt0(X32,X33)
        | ~ aSet0(X37)
        | aElementOf0(esk3_3(X32,X33,X37),X37)
        | esk3_3(X32,X33,X37) = X33
        | aElementOf0(esk3_3(X32,X33,X37),X32) )
      & ( ~ aElement0(X33)
        | ~ aSet0(X32)
        | X37 = sdtpldt0(X32,X33)
        | ~ aSet0(X37)
        | aElementOf0(esk3_3(X32,X33,X37),X37)
        | aElement0(esk3_3(X32,X33,X37)) )
      & ( ~ aElement0(X33)
        | ~ aSet0(X32)
        | X37 = sdtpldt0(X32,X33)
        | ~ aSet0(X37)
        | ~ aElementOf0(esk3_3(X32,X33,X37),X37)
        | ~ aElement0(esk3_3(X32,X33,X37))
        | esk3_3(X32,X33,X37) != X33 )
      & ( ~ aElement0(X33)
        | ~ aSet0(X32)
        | X37 = sdtpldt0(X32,X33)
        | ~ aSet0(X37)
        | ~ aElementOf0(esk3_3(X32,X33,X37),X37)
        | ~ aElement0(esk3_3(X32,X33,X37))
        | ~ aElementOf0(esk3_3(X32,X33,X37),X32) )
      & ( ~ aElement0(X33)
        | ~ aSet0(X32)
        | X34 != sdtpldt0(X32,X33)
        | aElementOf0(X36,X34)
        | ~ aElement0(X36)
        | X36 != X33 )
      & ( ~ aElement0(X33)
        | ~ aSet0(X32)
        | X34 != sdtpldt0(X32,X33)
        | aElementOf0(X36,X34)
        | ~ aElement0(X36)
        | ~ aElementOf0(X36,X32) )
      & ( ~ aElement0(X33)
        | ~ aSet0(X32)
        | X34 != sdtpldt0(X32,X33)
        | ~ aElementOf0(X35,X34)
        | X35 = X33
        | aElementOf0(X35,X32) )
      & ( ~ aElement0(X33)
        | ~ aSet0(X32)
        | X34 != sdtpldt0(X32,X33)
        | ~ aElementOf0(X35,X34)
        | aElement0(X35) )
      & ( ~ aElement0(X33)
        | ~ aSet0(X32)
        | X34 != sdtpldt0(X32,X33)
        | aSet0(X34) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefCons])])])])])])]) ).

cnf(c_0_56,hypothesis,
    ( ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    | aSet0(xQ) ),
    inference(spm,[status(thm)],[c_0_29,c_0_35]) ).

fof(c_0_57,plain,
    ! [X18] :
      ( X18 != slcrc0
      | ~ isCountable0(X18)
      | ~ aSet0(X18) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])]) ).

cnf(c_0_58,plain,
    ( X1 != slcrc0
    | aSet0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_59,hypothesis,
    ( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
    | ~ aElementOf0(X1,xQ)
    | aElementOf0(X1,sdtlpdtrp0(xN,xi)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_44])]) ).

cnf(c_0_60,plain,
    ( ~ aSet0(X1)
    | ~ aSubsetOf0(X1,szNzAzT0)
    | aElement0(szmzizndt0(X1))
    | X1 = slcrc0 ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_61,hypothesis,
    aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0),
    inference(spm,[status(thm)],[c_0_54,c_0_37]) ).

cnf(c_0_62,plain,
    ( ~ aElement0(X3)
    | ~ aSet0(X2)
    | X4 != sdtpldt0(X2,X3)
    | ~ aElementOf0(X1,X4)
    | X1 = X3
    | aElementOf0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_63,plain,
    ( ~ aElement0(X3)
    | ~ aSet0(X2)
    | X1 != sdtpldt0(X2,X3)
    | aSet0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

fof(c_0_64,hypothesis,
    ! [X184] :
      ( ( ~ aElementOf0(X184,szNzAzT0)
        | isCountable0(sdtlpdtrp0(xN,X184)) )
      & ( ~ aElementOf0(X184,szNzAzT0)
        | aSubsetOf0(sdtlpdtrp0(xN,X184),szNzAzT0) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])])]) ).

cnf(c_0_65,hypothesis,
    ( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
    | aSet0(xQ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_43]),c_0_44])]) ).

cnf(c_0_66,plain,
    ( X1 != slcrc0
    | ~ isCountable0(X1)
    | ~ aSet0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_67,plain,
    aSet0(slcrc0),
    inference(er,[status(thm)],[c_0_58]) ).

fof(c_0_68,hypothesis,
    ! [X185,X186] :
      ( aSubsetOf0(sdtlpdtrp0(xN,X185),sdtlpdtrp0(xN,X186))
      | ~ sdtlseqdt0(X186,X185)
      | ~ aElementOf0(X186,szNzAzT0)
      | ~ aElementOf0(X185,szNzAzT0) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3754])])]) ).

fof(c_0_69,hypothesis,
    ! [X183] :
      ( ( ~ aElementOf0(X183,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X183))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X183),szNzAzT0)
        | isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X183))) )
      & ( ~ aElementOf0(X183,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X183))
        | ~ aSubsetOf0(sdtlpdtrp0(xN,X183),szNzAzT0)
        | aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X183)),sdtmndt0(sdtlpdtrp0(xN,X183),szmzizndt0(sdtlpdtrp0(xN,X183)))) )
      & sdtlpdtrp0(xN,sz00) = xS
      & szDzozmdt0(xN) = szNzAzT0
      & aFunction0(xN) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3623])])])])]) ).

fof(c_0_70,plain,
    ! [X66] :
      ( sdtlseqdt0(sz00,X66)
      | ~ aElementOf0(X66,szNzAzT0) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])])]) ).

cnf(c_0_71,plain,
    ( ~ aSet0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(esk2_2(X1,X2),X1)
    | aSubsetOf0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_72,hypothesis,
    ( ~ aElementOf0(X1,xQ)
    | aElementOf0(X1,sdtlpdtrp0(xN,xi))
    | sdtlpdtrp0(xN,xi) = slcrc0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_44])]) ).

cnf(c_0_73,plain,
    ( ~ aSet0(X3)
    | ~ aElement0(X2)
    | ~ aElementOf0(X1,sdtpldt0(X3,X2))
    | aElementOf0(X1,X3)
    | X1 = X2 ),
    inference(er,[status(thm)],[c_0_62]) ).

cnf(c_0_74,plain,
    ( ~ aSet0(X1)
    | ~ aSet0(X2)
    | aSubsetOf0(X2,X1)
    | aElementOf0(esk2_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_75,plain,
    ( ~ aSet0(X1)
    | ~ aElement0(X2)
    | aSet0(sdtpldt0(X1,X2)) ),
    inference(er,[status(thm)],[c_0_63]) ).

cnf(c_0_76,hypothesis,
    ( ~ aElementOf0(X1,szNzAzT0)
    | isCountable0(sdtlpdtrp0(xN,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_77,hypothesis,
    ( aSet0(xQ)
    | sdtlpdtrp0(xN,xi) = slcrc0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_60]),c_0_61]),c_0_44])]) ).

cnf(c_0_78,hypothesis,
    aElementOf0(xi,szNzAzT0),
    inference(split_conjunct,[status(thm)],[m__3989]) ).

cnf(c_0_79,plain,
    ~ isCountable0(slcrc0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_66]),c_0_67])]) ).

fof(c_0_80,negated_conjecture,
    ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS),
    inference(assume_negation,[status(cth)],[m__]) ).

cnf(c_0_81,hypothesis,
    ( ~ sdtlseqdt0(X2,X1)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0)
    | aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_82,hypothesis,
    sdtlpdtrp0(xN,sz00) = xS,
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_83,plain,
    aElementOf0(sz00,szNzAzT0),
    inference(split_conjunct,[status(thm)],[mZeroNum]) ).

cnf(c_0_84,plain,
    ( ~ aElementOf0(X1,szNzAzT0)
    | sdtlseqdt0(sz00,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_85,hypothesis,
    ( ~ aSet0(X1)
    | ~ aElementOf0(esk2_2(sdtlpdtrp0(xN,xi),X1),xQ)
    | aSubsetOf0(X1,sdtlpdtrp0(xN,xi))
    | sdtlpdtrp0(xN,xi) = slcrc0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_44])]) ).

cnf(c_0_86,plain,
    ( ~ aSet0(X1)
    | ~ aSet0(X2)
    | ~ aElement0(X3)
    | aElementOf0(esk2_2(X1,sdtpldt0(X2,X3)),X2)
    | aSubsetOf0(sdtpldt0(X2,X3),X1)
    | esk2_2(X1,sdtpldt0(X2,X3)) = X3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).

cnf(c_0_87,hypothesis,
    aSet0(xQ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78])]),c_0_79]) ).

fof(c_0_88,negated_conjecture,
    ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

cnf(c_0_89,hypothesis,
    ( ~ aElementOf0(X1,szNzAzT0)
    | aSubsetOf0(sdtlpdtrp0(xN,X1),xS) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83])]),c_0_84]) ).

cnf(c_0_90,hypothesis,
    ( ~ aSet0(sdtpldt0(xQ,X1))
    | ~ aElement0(X1)
    | aSubsetOf0(sdtpldt0(xQ,X1),sdtlpdtrp0(xN,xi))
    | sdtlpdtrp0(xN,xi) = slcrc0
    | esk2_2(sdtlpdtrp0(xN,xi),sdtpldt0(xQ,X1)) = X1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]),c_0_44])]) ).

cnf(c_0_91,hypothesis,
    ( ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
    | aElementOf0(X1,xS) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_37]),c_0_38])]) ).

fof(c_0_92,negated_conjecture,
    ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS),
    inference(fof_nnf,[status(thm)],[c_0_88]) ).

cnf(c_0_93,hypothesis,
    ( ~ aElementOf0(X2,szNzAzT0)
    | ~ aSubsetOf0(X1,sdtlpdtrp0(xN,X2))
    | aSubsetOf0(X1,xS) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_89]),c_0_38])]) ).

cnf(c_0_94,hypothesis,
    ( ~ aSet0(sdtpldt0(xQ,X1))
    | ~ aElement0(X1)
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
    | aSubsetOf0(sdtpldt0(xQ,X1),sdtlpdtrp0(xN,xi))
    | sdtlpdtrp0(xN,xi) = slcrc0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_90]),c_0_44])]) ).

cnf(c_0_95,hypothesis,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xS)
    | sdtlpdtrp0(xN,xi) = slcrc0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_53]),c_0_61])]) ).

cnf(c_0_96,negated_conjecture,
    ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_97,hypothesis,
    ( ~ aSet0(sdtpldt0(xQ,X1))
    | ~ aElement0(X1)
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
    | aSubsetOf0(sdtpldt0(xQ,X1),xS)
    | sdtlpdtrp0(xN,xi) = slcrc0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_78])]) ).

cnf(c_0_98,hypothesis,
    ( aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
    | sdtlpdtrp0(xN,xi) = slcrc0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_95]),c_0_38])]) ).

cnf(c_0_99,negated_conjecture,
    ( ~ aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    | ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    | sdtlpdtrp0(xN,xi) = slcrc0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]) ).

cnf(c_0_100,negated_conjecture,
    ( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    | sdtlpdtrp0(xN,xi) = slcrc0 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_75]),c_0_87])]),c_0_98]) ).

cnf(c_0_101,negated_conjecture,
    sdtlpdtrp0(xN,xi) = slcrc0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_53]),c_0_61])]) ).

cnf(c_0_102,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_101]),c_0_78])]),c_0_79]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM583+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35  % Computer : n010.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep 21 02:42:10 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40  Running first-order theorem proving
% 0.14/0.40  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.13/1.32  % Version: 3.5.1
% 6.13/1.32  % Preprocessing class: FSLSSMSMSSSNFFN.
% 6.13/1.32  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.13/1.32  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.13/1.32  % Starting new_bool_3 with 300s (1) cores
% 6.13/1.32  % Starting new_bool_1 with 300s (1) cores
% 6.13/1.32  % Starting sh5l with 300s (1) cores
% 6.13/1.32  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 4062969 completed with status 0
% 6.13/1.32  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 6.13/1.32  % Preprocessing class: FSLSSMSMSSSNFFN.
% 6.13/1.32  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.13/1.32  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.13/1.32  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.13/1.32  % No SInE strategy applied
% 6.13/1.32  % Search class: FGHSF-FSLM32-MFFFFFNN
% 6.13/1.32  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 6.13/1.32  % Starting SubtermCWHack with 151s (1) cores
% 6.13/1.32  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 901s (1) cores
% 6.13/1.32  % Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 151s (1) cores
% 6.13/1.32  % Starting G-E--_302_C18_F1_URBAN_S0Y with 151s (1) cores
% 6.13/1.32  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 146s (1) cores
% 6.13/1.32  % G-E--_300_C18_F1_SE_CS_SP_S0Y with pid 4062978 completed with status 0
% 6.13/1.32  % Result found by G-E--_300_C18_F1_SE_CS_SP_S0Y
% 6.13/1.32  % Preprocessing class: FSLSSMSMSSSNFFN.
% 6.13/1.32  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.13/1.32  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 6.13/1.32  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.13/1.32  % No SInE strategy applied
% 6.13/1.32  % Search class: FGHSF-FSLM32-MFFFFFNN
% 6.13/1.32  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 6.13/1.32  % Starting SubtermCWHack with 151s (1) cores
% 6.13/1.32  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 901s (1) cores
% 6.13/1.32  % Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 151s (1) cores
% 6.13/1.32  % Preprocessing time       : 0.004 s
% 6.13/1.32  
% 6.13/1.32  % Proof found!
% 6.13/1.32  % SZS status Theorem
% 6.13/1.32  % SZS output start CNFRefutation
% See solution above
% 6.13/1.32  % Parsed axioms                        : 89
% 6.13/1.32  % Removed by relevancy pruning/SinE    : 0
% 6.13/1.32  % Initial clauses                      : 174
% 6.13/1.32  % Removed in clause preprocessing      : 7
% 6.13/1.32  % Initial clauses in saturation        : 167
% 6.13/1.32  % Processed clauses                    : 4276
% 6.13/1.32  % ...of these trivial                  : 10
% 6.13/1.32  % ...subsumed                          : 2474
% 6.13/1.32  % ...remaining for further processing  : 1792
% 6.13/1.32  % Other redundant clauses eliminated   : 58
% 6.13/1.32  % Clauses deleted for lack of memory   : 0
% 6.13/1.32  % Backward-subsumed                    : 210
% 6.13/1.32  % Backward-rewritten                   : 229
% 6.13/1.32  % Generated clauses                    : 16115
% 6.13/1.32  % ...of the previous two non-redundant : 14411
% 6.13/1.32  % ...aggressively subsumed             : 0
% 6.13/1.32  % Contextual simplify-reflections      : 266
% 6.13/1.32  % Paramodulations                      : 16055
% 6.13/1.32  % Factorizations                       : 3
% 6.13/1.32  % NegExts                              : 0
% 6.13/1.32  % Equation resolutions                 : 61
% 6.13/1.32  % Disequality decompositions           : 0
% 6.13/1.32  % Total rewrite steps                  : 9622
% 6.13/1.32  % ...of those cached                   : 9554
% 6.13/1.32  % Propositional unsat checks           : 0
% 6.13/1.32  %    Propositional check models        : 0
% 6.13/1.32  %    Propositional check unsatisfiable : 0
% 6.13/1.32  %    Propositional clauses             : 0
% 6.13/1.32  %    Propositional clauses after purity: 0
% 6.13/1.32  %    Propositional unsat core size     : 0
% 6.13/1.32  %    Propositional preprocessing time  : 0.000
% 6.13/1.32  %    Propositional encoding time       : 0.000
% 6.13/1.32  %    Propositional solver time         : 0.000
% 6.13/1.32  %    Success case prop preproc time    : 0.000
% 6.13/1.32  %    Success case prop encoding time   : 0.000
% 6.13/1.32  %    Success case prop solver time     : 0.000
% 6.13/1.32  % Current number of processed clauses  : 1312
% 6.13/1.32  %    Positive orientable unit clauses  : 68
% 6.13/1.32  %    Positive unorientable unit clauses: 0
% 6.13/1.32  %    Negative unit clauses             : 28
% 6.13/1.32  %    Non-unit-clauses                  : 1216
% 6.13/1.32  % Current number of unprocessed clauses: 9448
% 6.13/1.32  % ...number of literals in the above   : 52447
% 6.13/1.32  % Current number of archived formulas  : 0
% 6.13/1.32  % Current number of archived clauses   : 440
% 6.13/1.32  % Clause-clause subsumption calls (NU) : 237439
% 6.13/1.32  % Rec. Clause-clause subsumption calls : 89655
% 6.13/1.32  % Non-unit clause-clause subsumptions  : 1975
% 6.13/1.32  % Unit Clause-clause subsumption calls : 4192
% 6.13/1.32  % Rewrite failures with RHS unbound    : 0
% 6.13/1.32  % BW rewrite match attempts            : 18
% 6.13/1.32  % BW rewrite match successes           : 18
% 6.13/1.32  % Condensation attempts                : 0
% 6.13/1.32  % Condensation successes               : 0
% 6.13/1.32  % Termbank termtop insertions          : 290602
% 6.13/1.32  % Search garbage collected termcells   : 3465
% 6.13/1.32  
% 6.13/1.32  % -------------------------------------------------
% 6.13/1.32  % User time                : 0.841 s
% 6.13/1.32  % System time              : 0.037 s
% 6.13/1.32  % Total time               : 0.877 s
% 6.13/1.32  % Maximum resident set size: 4256 pages
% 6.13/1.32  
% 6.13/1.32  % -------------------------------------------------
% 6.13/1.32  % User time                : 4.082 s
% 6.13/1.32  % System time              : 0.144 s
% 6.13/1.32  % Total time               : 4.226 s
% 6.13/1.32  % Maximum resident set size: 4864 pages
% 6.13/1.32  % E exiting
%------------------------------------------------------------------------------