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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : NUM596+3 : 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 : n018.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 01:49:42 PM UTC 2026

% Result   : Theorem 70.93s 13.27s
% Output   : CNFRefutation 70.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   58 (  21 unt;   0 def)
%            Number of atoms       :  222 (  44 equ)
%            Maximal formula atoms :   39 (   3 avg)
%            Number of connectives :  274 ( 110   ~; 111   |;  38   &)
%                                         (   4 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   7 con; 0-3 aty)
%            Number of variables   :   68 (   0 sgn  34   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__4758,hypothesis,
    ( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
    & ! [X1] :
        ( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
       => aElementOf0(X1,xT) )
    & ! [X1] :
        ( aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
      <=> ? [X2] :
            ( sdtlpdtrp0(xd,X2) = X1
            & aElementOf0(X2,szDzozmdt0(xd)) ) )
    & aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4758) ).

fof(m__4730,hypothesis,
    ( ! [X1] :
        ( aElementOf0(X1,szNzAzT0)
       => ! [X2] :
            ( ( ( aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk))
                | ( sbrdtbr0(X2) = xk
                  & ( aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
                    | ! [X3] :
                        ( aElementOf0(X3,X2)
                       => aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ) )
              & aSet0(X2) )
           => sdtlpdtrp0(xd,X1) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) ) )
    & szDzozmdt0(xd) = szNzAzT0
    & aFunction0(xd) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4730) ).

fof(mDefPtt,axiom,
    ! [X1,X2] :
      ( ( aElement0(X2)
        & aFunction0(X1) )
     => ! [X3] :
          ( X3 = sdtlbdtrb0(X1,X2)
        <=> ( ! [X4] :
                ( aElementOf0(X4,X3)
              <=> ( sdtlpdtrp0(X1,X4) = X2
                  & aElementOf0(X4,szDzozmdt0(X1)) ) )
            & aSet0(X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPtt) ).

fof(mSubFSet,axiom,
    ! [X1] :
      ( ( isFinite0(X1)
        & aSet0(X1) )
     => ! [X2] :
          ( aSubsetOf0(X2,X1)
         => isFinite0(X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubFSet) ).

fof(mDirichlet,axiom,
    ! [X1] :
      ( aFunction0(X1)
     => ( ( isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1)))
          & isCountable0(szDzozmdt0(X1)) )
       => ( isCountable0(sdtlbdtrb0(X1,szDzizrdt0(X1)))
          & aElement0(szDzizrdt0(X1)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDirichlet) ).

fof(m__3291,hypothesis,
    ( isFinite0(xT)
    & aSet0(xT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3291) ).

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

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

fof(m__,conjecture,
    aElementOf0(szDzizrdt0(xd),xT),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(mCountNFin,axiom,
    ! [X1] :
      ( ( isCountable0(X1)
        & aSet0(X1) )
     => ~ isFinite0(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).

fof(mEmpFin,axiom,
    isFinite0(slcrc0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).

fof(c_0_11,hypothesis,
    ! [X240,X242,X243,X244] :
      ( aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT)
      & ( aElementOf0(X244,xT)
        | ~ aElementOf0(X244,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
      & ( aElementOf0(X242,sdtlcdtrc0(xd,szDzozmdt0(xd)))
        | sdtlpdtrp0(xd,X243) != X242
        | ~ aElementOf0(X243,szDzozmdt0(xd)) )
      & ( ~ aElementOf0(X240,sdtlcdtrc0(xd,szDzozmdt0(xd)))
        | sdtlpdtrp0(xd,esk37_1(X240)) = X240 )
      & ( ~ aElementOf0(X240,sdtlcdtrc0(xd,szDzozmdt0(xd)))
        | aElementOf0(esk37_1(X240),szDzozmdt0(xd)) )
      & aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
    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)],[m__4758])])])])])])]) ).

fof(c_0_12,hypothesis,
    ! [X237,X238] :
      ( ( ~ aElementOf0(X237,szNzAzT0)
        | sdtlpdtrp0(xd,X237) = sdtlpdtrp0(sdtlpdtrp0(xC,X237),X238)
        | ~ aSet0(X238)
        | ~ aElementOf0(X238,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X237)),xk)) )
      & ( ~ aElementOf0(X237,szNzAzT0)
        | sdtlpdtrp0(xd,X237) = sdtlpdtrp0(sdtlpdtrp0(xC,X237),X238)
        | ~ aSet0(X238)
        | sbrdtbr0(X238) != xk
        | ~ aSubsetOf0(X238,sdtlpdtrp0(xN,szszuzczcdt0(X237))) )
      & ( ~ aElementOf0(X237,szNzAzT0)
        | sdtlpdtrp0(xd,X237) = sdtlpdtrp0(sdtlpdtrp0(xC,X237),X238)
        | ~ aSet0(X238)
        | sbrdtbr0(X238) != xk
        | ~ aElementOf0(esk36_2(X237,X238),sdtlpdtrp0(xN,szszuzczcdt0(X237))) )
      & ( ~ aElementOf0(X237,szNzAzT0)
        | sdtlpdtrp0(xd,X237) = sdtlpdtrp0(sdtlpdtrp0(xC,X237),X238)
        | ~ aSet0(X238)
        | sbrdtbr0(X238) != xk
        | aElementOf0(esk36_2(X237,X238),X238) )
      & szDzozmdt0(xd) = szNzAzT0
      & aFunction0(xd) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4730])])])])])]) ).

fof(c_0_13,plain,
    ! [X145,X146,X147,X148,X149,X150] :
      ( ( ~ aElement0(X146)
        | ~ aFunction0(X145)
        | X150 = sdtlbdtrb0(X145,X146)
        | ~ aSet0(X150)
        | aElementOf0(esk13_3(X145,X146,X150),X150)
        | sdtlpdtrp0(X145,esk13_3(X145,X146,X150)) = X146 )
      & ( ~ aElement0(X146)
        | ~ aFunction0(X145)
        | X150 = sdtlbdtrb0(X145,X146)
        | ~ aSet0(X150)
        | aElementOf0(esk13_3(X145,X146,X150),X150)
        | aElementOf0(esk13_3(X145,X146,X150),szDzozmdt0(X145)) )
      & ( ~ aElement0(X146)
        | ~ aFunction0(X145)
        | X150 = sdtlbdtrb0(X145,X146)
        | ~ aSet0(X150)
        | sdtlpdtrp0(X145,esk13_3(X145,X146,X150)) != X146
        | ~ aElementOf0(esk13_3(X145,X146,X150),szDzozmdt0(X145))
        | ~ aElementOf0(esk13_3(X145,X146,X150),X150) )
      & ( ~ aElement0(X146)
        | ~ aFunction0(X145)
        | X147 != sdtlbdtrb0(X145,X146)
        | aElementOf0(X149,X147)
        | sdtlpdtrp0(X145,X149) != X146
        | ~ aElementOf0(X149,szDzozmdt0(X145)) )
      & ( ~ aElement0(X146)
        | ~ aFunction0(X145)
        | X147 != sdtlbdtrb0(X145,X146)
        | ~ aElementOf0(X148,X147)
        | sdtlpdtrp0(X145,X148) = X146 )
      & ( ~ aElement0(X146)
        | ~ aFunction0(X145)
        | X147 != sdtlbdtrb0(X145,X146)
        | ~ aElementOf0(X148,X147)
        | aElementOf0(X148,szDzozmdt0(X145)) )
      & ( ~ aElement0(X146)
        | ~ aFunction0(X145)
        | X147 != sdtlbdtrb0(X145,X146)
        | aSet0(X147) ) ),
    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)],[mDefPtt])])])])])])]) ).

fof(c_0_14,plain,
    ! [X25,X26] :
      ( isFinite0(X26)
      | ~ aSubsetOf0(X26,X25)
      | ~ isFinite0(X25)
      | ~ aSet0(X25) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubFSet])])])]) ).

cnf(c_0_15,hypothesis,
    aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,hypothesis,
    szDzozmdt0(xd) = szNzAzT0,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    ( ~ aElement0(X3)
    | ~ aFunction0(X2)
    | X1 != sdtlbdtrb0(X2,X3)
    | aSet0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_18,plain,
    ! [X177] :
      ( ( ~ aFunction0(X177)
        | ~ isFinite0(sdtlcdtrc0(X177,szDzozmdt0(X177)))
        | ~ isCountable0(szDzozmdt0(X177))
        | isCountable0(sdtlbdtrb0(X177,szDzizrdt0(X177))) )
      & ( ~ aFunction0(X177)
        | ~ isFinite0(sdtlcdtrc0(X177,szDzozmdt0(X177)))
        | ~ isCountable0(szDzozmdt0(X177))
        | aElement0(szDzizrdt0(X177)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDirichlet])])])]) ).

cnf(c_0_19,plain,
    ( ~ aSubsetOf0(X2,X1)
    | ~ isFinite0(X1)
    | ~ aSet0(X1)
    | isFinite0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,hypothesis,
    aSubsetOf0(sdtlcdtrc0(xd,szNzAzT0),xT),
    inference(rw,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_21,hypothesis,
    isFinite0(xT),
    inference(split_conjunct,[status(thm)],[m__3291]) ).

cnf(c_0_22,hypothesis,
    aSet0(xT),
    inference(split_conjunct,[status(thm)],[m__3291]) ).

cnf(c_0_23,plain,
    ( ~ aElement0(X2)
    | ~ aFunction0(X1)
    | aSet0(sdtlbdtrb0(X1,X2)) ),
    inference(er,[status(thm)],[c_0_17]) ).

cnf(c_0_24,hypothesis,
    aFunction0(xd),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_25,plain,
    ( ~ aFunction0(X1)
    | ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1)))
    | ~ isCountable0(szDzozmdt0(X1))
    | aElement0(szDzizrdt0(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_26,plain,
    isCountable0(szNzAzT0),
    inference(split_conjunct,[status(thm)],[mNATSet]) ).

cnf(c_0_27,hypothesis,
    isFinite0(sdtlcdtrc0(xd,szNzAzT0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22])]) ).

fof(c_0_28,plain,
    ! [X13,X14,X15] :
      ( ( X15 = slcrc0
        | aElementOf0(esk1_1(X15),X15)
        | ~ aSet0(X15) )
      & ( X13 != slcrc0
        | ~ aElementOf0(X14,X13) )
      & ( X13 != slcrc0
        | aSet0(X13) ) ),
    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_29,hypothesis,
    ( ~ aElement0(X1)
    | aSet0(sdtlbdtrb0(xd,X1)) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_30,hypothesis,
    aElement0(szDzizrdt0(xd)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_16]),c_0_24]),c_0_26]),c_0_27])]) ).

fof(c_0_31,negated_conjecture,
    ~ aElementOf0(szDzizrdt0(xd),xT),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_32,plain,
    ! [X1] :
      ( ( isCountable0(X1)
        & aSet0(X1) )
     => ~ isFinite0(X1) ),
    inference(fof_simplification,[status(thm)],[mCountNFin]) ).

cnf(c_0_33,hypothesis,
    ( ~ aElementOf0(X1,sdtlcdtrc0(xd,szDzozmdt0(xd)))
    | aElementOf0(X1,xT) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_34,hypothesis,
    ( sdtlpdtrp0(xd,X1) != X2
    | ~ aElementOf0(X1,szDzozmdt0(xd))
    | aElementOf0(X2,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_35,plain,
    ( ~ aElement0(X3)
    | ~ aFunction0(X1)
    | X4 != sdtlbdtrb0(X1,X3)
    | ~ aElementOf0(X2,X4)
    | sdtlpdtrp0(X1,X2) = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_36,plain,
    ( ~ aSet0(X1)
    | X1 = slcrc0
    | aElementOf0(esk1_1(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_37,hypothesis,
    aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd))),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

fof(c_0_38,negated_conjecture,
    ~ aElementOf0(szDzizrdt0(xd),xT),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

cnf(c_0_39,plain,
    ( ~ aElement0(X4)
    | ~ aFunction0(X2)
    | X3 != sdtlbdtrb0(X2,X4)
    | ~ aElementOf0(X1,X3)
    | aElementOf0(X1,szDzozmdt0(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_40,plain,
    ! [X18] :
      ( ~ isFinite0(X18)
      | ~ isCountable0(X18)
      | ~ aSet0(X18) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).

cnf(c_0_41,plain,
    ( ~ aFunction0(X1)
    | ~ isFinite0(sdtlcdtrc0(X1,szDzozmdt0(X1)))
    | ~ isCountable0(szDzozmdt0(X1))
    | isCountable0(sdtlbdtrb0(X1,szDzizrdt0(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_42,hypothesis,
    ( ~ aElementOf0(X1,sdtlcdtrc0(xd,szNzAzT0))
    | aElementOf0(X1,xT) ),
    inference(rw,[status(thm)],[c_0_33,c_0_16]) ).

cnf(c_0_43,hypothesis,
    ( ~ aElementOf0(X1,szNzAzT0)
    | aElementOf0(sdtlpdtrp0(xd,X1),sdtlcdtrc0(xd,szNzAzT0)) ),
    inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_16]),c_0_16])]) ).

cnf(c_0_44,plain,
    ( ~ aElement0(X3)
    | ~ aElementOf0(X2,sdtlbdtrb0(X1,X3))
    | ~ aFunction0(X1)
    | sdtlpdtrp0(X1,X2) = X3 ),
    inference(er,[status(thm)],[c_0_35]) ).

cnf(c_0_45,hypothesis,
    ( aElementOf0(esk1_1(sdtlbdtrb0(xd,szDzizrdt0(xd))),sdtlbdtrb0(xd,szDzizrdt0(xd)))
    | sdtlbdtrb0(xd,szDzizrdt0(xd)) = slcrc0 ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

fof(c_0_46,negated_conjecture,
    ~ aElementOf0(szDzizrdt0(xd),xT),
    inference(fof_nnf,[status(thm)],[c_0_38]) ).

cnf(c_0_47,plain,
    ( ~ aElement0(X3)
    | ~ aElementOf0(X1,sdtlbdtrb0(X2,X3))
    | ~ aFunction0(X2)
    | aElementOf0(X1,szDzozmdt0(X2)) ),
    inference(er,[status(thm)],[c_0_39]) ).

cnf(c_0_48,plain,
    ( ~ isFinite0(X1)
    | ~ isCountable0(X1)
    | ~ aSet0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_49,hypothesis,
    isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_16]),c_0_24]),c_0_26]),c_0_27])]) ).

cnf(c_0_50,hypothesis,
    ( ~ aElementOf0(X1,szNzAzT0)
    | aElementOf0(sdtlpdtrp0(xd,X1),xT) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_51,hypothesis,
    ( sdtlbdtrb0(xd,szDzizrdt0(xd)) = slcrc0
    | sdtlpdtrp0(xd,esk1_1(sdtlbdtrb0(xd,szDzizrdt0(xd)))) = szDzizrdt0(xd) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_24]),c_0_30])]) ).

cnf(c_0_52,negated_conjecture,
    ~ aElementOf0(szDzizrdt0(xd),xT),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_53,hypothesis,
    ( aElementOf0(esk1_1(sdtlbdtrb0(xd,szDzizrdt0(xd))),szNzAzT0)
    | sdtlbdtrb0(xd,szDzizrdt0(xd)) = slcrc0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_45]),c_0_16]),c_0_24]),c_0_30])]) ).

cnf(c_0_54,hypothesis,
    ~ isFinite0(sdtlbdtrb0(xd,szDzizrdt0(xd))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_37])]) ).

cnf(c_0_55,hypothesis,
    sdtlbdtrb0(xd,szDzizrdt0(xd)) = slcrc0,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_53]) ).

cnf(c_0_56,plain,
    isFinite0(slcrc0),
    inference(split_conjunct,[status(thm)],[mEmpFin]) ).

cnf(c_0_57,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55]),c_0_56])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : NUM596+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.45  % Computer : n018.cluster.edu
% 0.20/0.45  % Model    : x86_64 x86_64
% 0.20/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45  % Memory   : 8046.5625MB
% 0.20/0.45  % OS       : Linux 6.8.0-71-generic
% 0.20/0.45  % CPULimit : 300
% 0.20/0.45  % WCLimit  : 300
% 0.20/0.45  % DateTime : Mon Sep 21 02:45:14 UTC 2026
% 0.20/0.46  % CPUTime  : 
% 0.20/0.46  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.54  Running first-order theorem proving
% 0.24/0.54  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 70.93/13.27  % Version: 3.5.1
% 70.93/13.27  % Preprocessing class: FSLSSMSMSSSNFFN.
% 70.93/13.27  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 70.93/13.27  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 70.93/13.27  % Starting new_bool_3 with 300s (1) cores
% 70.93/13.27  % Starting new_bool_1 with 300s (1) cores
% 70.93/13.27  % Starting sh5l with 300s (1) cores
% 70.93/13.27  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 796908 completed with status 0
% 70.93/13.27  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 70.93/13.27  % Preprocessing class: FSLSSMSMSSSNFFN.
% 70.93/13.27  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 70.93/13.27  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 70.93/13.27  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 70.93/13.27  % No SInE strategy applied
% 70.93/13.27  % Search class: FGHSF-SMLM32-MFFFFFNN
% 70.93/13.27  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 70.93/13.27  % Starting SubtermCWHack with 136s (1) cores
% 70.93/13.27  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 70.93/13.27  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 136s (1) cores
% 70.93/13.27  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 70.93/13.27  % Starting new_bool_3 with 136s (1) cores
% 70.93/13.27  % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with pid 796916 completed with status 0
% 70.93/13.27  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I
% 70.93/13.27  % Preprocessing class: FSLSSMSMSSSNFFN.
% 70.93/13.27  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 70.93/13.27  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 70.93/13.27  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 70.93/13.27  % No SInE strategy applied
% 70.93/13.27  % Search class: FGHSF-SMLM32-MFFFFFNN
% 70.93/13.27  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 70.93/13.27  % Starting SubtermCWHack with 136s (1) cores
% 70.93/13.27  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 70.93/13.27  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 136s (1) cores
% 70.93/13.27  % Preprocessing time       : 0.206 s
% 70.93/13.27  % Presaturation interreduction done
% 70.93/13.27  
% 70.93/13.27  % Proof found!
% 70.93/13.27  % SZS status Theorem
% 70.93/13.27  % SZS output start CNFRefutation
% See solution above
% 70.93/13.27  % Parsed axioms                        : 94
% 70.93/13.27  % Removed by relevancy pruning/SinE    : 0
% 70.93/13.27  % Initial clauses                      : 4851
% 70.93/13.27  % Removed in clause preprocessing      : 7
% 70.93/13.27  % Initial clauses in saturation        : 4844
% 70.93/13.27  % Processed clauses                    : 9376
% 70.93/13.27  % ...of these trivial                  : 33
% 70.93/13.27  % ...subsumed                          : 1317
% 70.93/13.27  % ...remaining for further processing  : 8026
% 70.93/13.27  % Other redundant clauses eliminated   : 2037
% 70.93/13.27  % Clauses deleted for lack of memory   : 0
% 70.93/13.27  % Backward-subsumed                    : 132
% 70.93/13.27  % Backward-rewritten                   : 72
% 70.93/13.27  % Generated clauses                    : 35682
% 70.93/13.27  % ...of the previous two non-redundant : 31976
% 70.93/13.27  % ...aggressively subsumed             : 0
% 70.93/13.27  % Contextual simplify-reflections      : 129
% 70.93/13.27  % Paramodulations                      : 33844
% 70.93/13.27  % Factorizations                       : 0
% 70.93/13.27  % NegExts                              : 0
% 70.93/13.27  % Equation resolutions                 : 2038
% 70.93/13.27  % Disequality decompositions           : 0
% 70.93/13.27  % Total rewrite steps                  : 7856
% 70.93/13.27  % ...of those cached                   : 7603
% 70.93/13.27  % Propositional unsat checks           : 2
% 70.93/13.27  %    Propositional check models        : 2
% 70.93/13.27  %    Propositional check unsatisfiable : 0
% 70.93/13.27  %    Propositional clauses             : 0
% 70.93/13.27  %    Propositional clauses after purity: 0
% 70.93/13.27  %    Propositional unsat core size     : 0
% 70.93/13.27  %    Propositional preprocessing time  : 0.000
% 70.93/13.27  %    Propositional encoding time       : 0.039
% 70.93/13.27  %    Propositional solver time         : 0.002
% 70.93/13.27  %    Success case prop preproc time    : 0.000
% 70.93/13.27  %    Success case prop encoding time   : 0.000
% 70.93/13.27  %    Success case prop solver time     : 0.000
% 70.93/13.27  % Current number of processed clauses  : 2038
% 70.93/13.27  %    Positive orientable unit clauses  : 683
% 70.93/13.27  %    Positive unorientable unit clauses: 0
% 70.93/13.27  %    Negative unit clauses             : 157
% 70.93/13.27  %    Non-unit-clauses                  : 1198
% 70.93/13.27  % Current number of unprocessed clauses: 31225
% 70.93/13.27  % ...number of literals in the above   : 105753
% 70.93/13.27  % Current number of archived formulas  : 0
% 70.93/13.27  % Current number of archived clauses   : 4151
% 70.93/13.27  % Clause-clause subsumption calls (NU) : 10053819
% 70.93/13.27  % Rec. Clause-clause subsumption calls : 156467
% 70.93/13.27  % Non-unit clause-clause subsumptions  : 1271
% 70.93/13.27  % Unit Clause-clause subsumption calls : 31064
% 70.93/13.27  % Rewrite failures with RHS unbound    : 0
% 70.93/13.27  % BW rewrite match attempts            : 6288
% 70.93/13.27  % BW rewrite match successes           : 28
% 70.93/13.27  % Condensation attempts                : 0
% 70.93/13.27  % Condensation successes               : 0
% 70.93/13.27  % Termbank termtop insertions          : 1423511
% 70.93/13.27  % Search garbage collected termcells   : 31617
% 70.93/13.27  
% 70.93/13.27  % -------------------------------------------------
% 70.93/13.27  % User time                : 11.388 s
% 70.93/13.27  % System time              : 0.105 s
% 70.93/13.27  % Total time               : 11.493 s
% 70.93/13.27  % Maximum resident set size: 15832 pages
% 70.93/13.27  
% 70.93/13.27  % -------------------------------------------------
% 70.93/13.27  % User time                : 58.647 s
% 70.93/13.27  % System time              : 0.455 s
% 70.93/13.27  % Total time               : 59.103 s
% 70.93/13.27  % Maximum resident set size: 5120 pages
% 70.93/13.27  % E exiting
%------------------------------------------------------------------------------