TSTP Solution File: NUM563+3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : NUM563+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:07:44 EDT 2023

% Result   : Theorem 22.94s 3.46s
% Output   : CNFRefutation 22.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   47 (  11 unt;   0 def)
%            Number of atoms       :  287 (  51 equ)
%            Maximal formula atoms :   88 (   6 avg)
%            Number of connectives :  380 ( 140   ~; 143   |;  75   &)
%                                         (   4 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;   7 con; 0-2 aty)
%            Number of variables   :   71 (   2 sgn;  38   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ( xK = sz00
   => ? [X1] :
        ( aElementOf0(X1,xT)
        & ? [X2] :
            ( ( ( aSet0(X2)
                & ! [X3] :
                    ( aElementOf0(X3,X2)
                   => aElementOf0(X3,xS) ) )
              | aSubsetOf0(X2,xS) )
            & isCountable0(X2)
            & ! [X3] :
                ( ( aSet0(X3)
                  & ! [X4] :
                      ( aElementOf0(X4,X3)
                     => aElementOf0(X4,X2) )
                  & aSubsetOf0(X3,X2)
                  & sbrdtbr0(X3) = xK
                  & aElementOf0(X3,slbdtsldtrb0(X2,xK)) )
               => sdtlpdtrp0(xc,X3) = X1 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xcUecv28Pg/E---3.1_23944.p',m__) ).

fof(mSubRefl,axiom,
    ! [X1] :
      ( aSet0(X1)
     => aSubsetOf0(X1,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.xcUecv28Pg/E---3.1_23944.p',mSubRefl) ).

fof(m__3435,hypothesis,
    ( aSet0(xS)
    & ! [X1] :
        ( aElementOf0(X1,xS)
       => aElementOf0(X1,szNzAzT0) )
    & aSubsetOf0(xS,szNzAzT0)
    & isCountable0(xS) ),
    file('/export/starexec/sandbox2/tmp/tmp.xcUecv28Pg/E---3.1_23944.p',m__3435) ).

fof(m__3453,hypothesis,
    ( aFunction0(xc)
    & ! [X1] :
        ( ( aElementOf0(X1,szDzozmdt0(xc))
         => ( aSet0(X1)
            & ! [X2] :
                ( aElementOf0(X2,X1)
               => aElementOf0(X2,xS) )
            & aSubsetOf0(X1,xS)
            & sbrdtbr0(X1) = xK ) )
        & ( ( ( ( aSet0(X1)
                & ! [X2] :
                    ( aElementOf0(X2,X1)
                   => aElementOf0(X2,xS) ) )
              | aSubsetOf0(X1,xS) )
            & sbrdtbr0(X1) = xK )
         => aElementOf0(X1,szDzozmdt0(xc)) ) )
    & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
    & aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
    & ! [X1] :
        ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
      <=> ? [X2] :
            ( aElementOf0(X2,szDzozmdt0(xc))
            & sdtlpdtrp0(xc,X2) = X1 ) )
    & ! [X1] :
        ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
       => aElementOf0(X1,xT) )
    & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
    file('/export/starexec/sandbox2/tmp/tmp.xcUecv28Pg/E---3.1_23944.p',m__3453) ).

fof(mCardEmpty,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ( sbrdtbr0(X1) = sz00
      <=> X1 = slcrc0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xcUecv28Pg/E---3.1_23944.p',mCardEmpty) ).

fof(mDefSub,axiom,
    ! [X1] :
      ( aSet0(X1)
     => ! [X2] :
          ( aSubsetOf0(X2,X1)
        <=> ( aSet0(X2)
            & ! [X3] :
                ( aElementOf0(X3,X2)
               => aElementOf0(X3,X1) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xcUecv28Pg/E---3.1_23944.p',mDefSub) ).

fof(mDefEmp,axiom,
    ! [X1] :
      ( X1 = slcrc0
    <=> ( aSet0(X1)
        & ~ ? [X2] : aElementOf0(X2,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xcUecv28Pg/E---3.1_23944.p',mDefEmp) ).

fof(c_0_7,negated_conjecture,
    ~ ( xK = sz00
     => ? [X1] :
          ( aElementOf0(X1,xT)
          & ? [X2] :
              ( ( ( aSet0(X2)
                  & ! [X3] :
                      ( aElementOf0(X3,X2)
                     => aElementOf0(X3,xS) ) )
                | aSubsetOf0(X2,xS) )
              & isCountable0(X2)
              & ! [X3] :
                  ( ( aSet0(X3)
                    & ! [X4] :
                        ( aElementOf0(X4,X3)
                       => aElementOf0(X4,X2) )
                    & aSubsetOf0(X3,X2)
                    & sbrdtbr0(X3) = xK
                    & aElementOf0(X3,slbdtsldtrb0(X2,xK)) )
                 => sdtlpdtrp0(xc,X3) = X1 ) ) ) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_8,plain,
    ! [X52] :
      ( ~ aSet0(X52)
      | aSubsetOf0(X52,X52) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).

fof(c_0_9,hypothesis,
    ! [X8] :
      ( aSet0(xS)
      & ( ~ aElementOf0(X8,xS)
        | aElementOf0(X8,szNzAzT0) )
      & aSubsetOf0(xS,szNzAzT0)
      & isCountable0(xS) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3435])])]) ).

fof(c_0_10,negated_conjecture,
    ! [X36,X37,X40] :
      ( xK = sz00
      & ( aSet0(esk13_2(X36,X37))
        | aElementOf0(esk12_2(X36,X37),X37)
        | ~ aSet0(X37)
        | ~ isCountable0(X37)
        | ~ aElementOf0(X36,xT) )
      & ( ~ aElementOf0(X40,esk13_2(X36,X37))
        | aElementOf0(X40,X37)
        | aElementOf0(esk12_2(X36,X37),X37)
        | ~ aSet0(X37)
        | ~ isCountable0(X37)
        | ~ aElementOf0(X36,xT) )
      & ( aSubsetOf0(esk13_2(X36,X37),X37)
        | aElementOf0(esk12_2(X36,X37),X37)
        | ~ aSet0(X37)
        | ~ isCountable0(X37)
        | ~ aElementOf0(X36,xT) )
      & ( sbrdtbr0(esk13_2(X36,X37)) = xK
        | aElementOf0(esk12_2(X36,X37),X37)
        | ~ aSet0(X37)
        | ~ isCountable0(X37)
        | ~ aElementOf0(X36,xT) )
      & ( aElementOf0(esk13_2(X36,X37),slbdtsldtrb0(X37,xK))
        | aElementOf0(esk12_2(X36,X37),X37)
        | ~ aSet0(X37)
        | ~ isCountable0(X37)
        | ~ aElementOf0(X36,xT) )
      & ( sdtlpdtrp0(xc,esk13_2(X36,X37)) != X36
        | aElementOf0(esk12_2(X36,X37),X37)
        | ~ aSet0(X37)
        | ~ isCountable0(X37)
        | ~ aElementOf0(X36,xT) )
      & ( aSet0(esk13_2(X36,X37))
        | ~ aElementOf0(esk12_2(X36,X37),xS)
        | ~ aSet0(X37)
        | ~ isCountable0(X37)
        | ~ aElementOf0(X36,xT) )
      & ( ~ aElementOf0(X40,esk13_2(X36,X37))
        | aElementOf0(X40,X37)
        | ~ aElementOf0(esk12_2(X36,X37),xS)
        | ~ aSet0(X37)
        | ~ isCountable0(X37)
        | ~ aElementOf0(X36,xT) )
      & ( aSubsetOf0(esk13_2(X36,X37),X37)
        | ~ aElementOf0(esk12_2(X36,X37),xS)
        | ~ aSet0(X37)
        | ~ isCountable0(X37)
        | ~ aElementOf0(X36,xT) )
      & ( sbrdtbr0(esk13_2(X36,X37)) = xK
        | ~ aElementOf0(esk12_2(X36,X37),xS)
        | ~ aSet0(X37)
        | ~ isCountable0(X37)
        | ~ aElementOf0(X36,xT) )
      & ( aElementOf0(esk13_2(X36,X37),slbdtsldtrb0(X37,xK))
        | ~ aElementOf0(esk12_2(X36,X37),xS)
        | ~ aSet0(X37)
        | ~ isCountable0(X37)
        | ~ aElementOf0(X36,xT) )
      & ( sdtlpdtrp0(xc,esk13_2(X36,X37)) != X36
        | ~ aElementOf0(esk12_2(X36,X37),xS)
        | ~ aSet0(X37)
        | ~ isCountable0(X37)
        | ~ aElementOf0(X36,xT) )
      & ( aSet0(esk13_2(X36,X37))
        | ~ aSubsetOf0(X37,xS)
        | ~ isCountable0(X37)
        | ~ aElementOf0(X36,xT) )
      & ( ~ aElementOf0(X40,esk13_2(X36,X37))
        | aElementOf0(X40,X37)
        | ~ aSubsetOf0(X37,xS)
        | ~ isCountable0(X37)
        | ~ aElementOf0(X36,xT) )
      & ( aSubsetOf0(esk13_2(X36,X37),X37)
        | ~ aSubsetOf0(X37,xS)
        | ~ isCountable0(X37)
        | ~ aElementOf0(X36,xT) )
      & ( sbrdtbr0(esk13_2(X36,X37)) = xK
        | ~ aSubsetOf0(X37,xS)
        | ~ isCountable0(X37)
        | ~ aElementOf0(X36,xT) )
      & ( aElementOf0(esk13_2(X36,X37),slbdtsldtrb0(X37,xK))
        | ~ aSubsetOf0(X37,xS)
        | ~ isCountable0(X37)
        | ~ aElementOf0(X36,xT) )
      & ( sdtlpdtrp0(xc,esk13_2(X36,X37)) != X36
        | ~ aSubsetOf0(X37,xS)
        | ~ isCountable0(X37)
        | ~ aElementOf0(X36,xT) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])]) ).

fof(c_0_11,hypothesis,
    ! [X9,X10,X11,X13,X15,X16,X17] :
      ( aFunction0(xc)
      & ( aSet0(X9)
        | ~ aElementOf0(X9,szDzozmdt0(xc)) )
      & ( ~ aElementOf0(X10,X9)
        | aElementOf0(X10,xS)
        | ~ aElementOf0(X9,szDzozmdt0(xc)) )
      & ( aSubsetOf0(X9,xS)
        | ~ aElementOf0(X9,szDzozmdt0(xc)) )
      & ( sbrdtbr0(X9) = xK
        | ~ aElementOf0(X9,szDzozmdt0(xc)) )
      & ( aElementOf0(esk1_1(X11),X11)
        | ~ aSet0(X11)
        | sbrdtbr0(X11) != xK
        | aElementOf0(X11,szDzozmdt0(xc)) )
      & ( ~ aElementOf0(esk1_1(X11),xS)
        | ~ aSet0(X11)
        | sbrdtbr0(X11) != xK
        | aElementOf0(X11,szDzozmdt0(xc)) )
      & ( ~ aSubsetOf0(X11,xS)
        | sbrdtbr0(X11) != xK
        | aElementOf0(X11,szDzozmdt0(xc)) )
      & szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
      & aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
      & ( aElementOf0(esk2_1(X13),szDzozmdt0(xc))
        | ~ aElementOf0(X13,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
      & ( sdtlpdtrp0(xc,esk2_1(X13)) = X13
        | ~ aElementOf0(X13,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
      & ( ~ aElementOf0(X16,szDzozmdt0(xc))
        | sdtlpdtrp0(xc,X16) != X15
        | aElementOf0(X15,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
      & ( ~ aElementOf0(X17,sdtlcdtrc0(xc,szDzozmdt0(xc)))
        | aElementOf0(X17,xT) )
      & aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
    inference(distribute,[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__3453])])])])])]) ).

cnf(c_0_12,plain,
    ( aSubsetOf0(X1,X1)
    | ~ aSet0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,hypothesis,
    aSet0(xS),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,negated_conjecture,
    ( aElementOf0(esk13_2(X1,X2),slbdtsldtrb0(X2,xK))
    | ~ aSubsetOf0(X2,xS)
    | ~ isCountable0(X2)
    | ~ aElementOf0(X1,xT) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,hypothesis,
    szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,hypothesis,
    aSubsetOf0(xS,xS),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,hypothesis,
    isCountable0(xS),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_18,plain,
    ! [X98] :
      ( ( sbrdtbr0(X98) != sz00
        | X98 = slcrc0
        | ~ aSet0(X98) )
      & ( X98 != slcrc0
        | sbrdtbr0(X98) = sz00
        | ~ aSet0(X98) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardEmpty])])]) ).

fof(c_0_19,plain,
    ! [X47,X48,X49,X50] :
      ( ( aSet0(X48)
        | ~ aSubsetOf0(X48,X47)
        | ~ aSet0(X47) )
      & ( ~ aElementOf0(X49,X48)
        | aElementOf0(X49,X47)
        | ~ aSubsetOf0(X48,X47)
        | ~ aSet0(X47) )
      & ( aElementOf0(esk14_2(X47,X50),X50)
        | ~ aSet0(X50)
        | aSubsetOf0(X50,X47)
        | ~ aSet0(X47) )
      & ( ~ aElementOf0(esk14_2(X47,X50),X47)
        | ~ aSet0(X50)
        | aSubsetOf0(X50,X47)
        | ~ aSet0(X47) ) ),
    inference(distribute,[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_20,hypothesis,
    ( aSubsetOf0(X1,xS)
    | ~ aElementOf0(X1,szDzozmdt0(xc)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_21,hypothesis,
    ( aElementOf0(esk13_2(X1,xS),szDzozmdt0(xc))
    | ~ aElementOf0(X1,xT) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]) ).

fof(c_0_22,plain,
    ! [X110,X111,X112] :
      ( ( aSet0(X110)
        | X110 != slcrc0 )
      & ( ~ aElementOf0(X111,X110)
        | X110 != slcrc0 )
      & ( ~ aSet0(X112)
        | aElementOf0(esk24_1(X112),X112)
        | X112 = slcrc0 ) ),
    inference(distribute,[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_23,plain,
    ( X1 = slcrc0
    | sbrdtbr0(X1) != sz00
    | ~ aSet0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_24,negated_conjecture,
    xK = sz00,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_25,plain,
    ( aSet0(X1)
    | ~ aSubsetOf0(X1,X2)
    | ~ aSet0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_26,hypothesis,
    ( aSubsetOf0(esk13_2(X1,xS),xS)
    | ~ aElementOf0(X1,xT) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_27,hypothesis,
    ( sbrdtbr0(X1) = xK
    | ~ aElementOf0(X1,szDzozmdt0(xc)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_28,plain,
    ( aSet0(X1)
    | X1 != slcrc0 ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_29,plain,
    ( X1 = slcrc0
    | sbrdtbr0(X1) != xK
    | ~ aSet0(X1) ),
    inference(rw,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_30,hypothesis,
    ( aSet0(esk13_2(X1,xS))
    | ~ aElementOf0(X1,xT) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_13])]) ).

cnf(c_0_31,hypothesis,
    ( sbrdtbr0(esk13_2(X1,xS)) = xK
    | ~ aElementOf0(X1,xT) ),
    inference(spm,[status(thm)],[c_0_27,c_0_21]) ).

cnf(c_0_32,hypothesis,
    ( aElementOf0(X2,sdtlcdtrc0(xc,szDzozmdt0(xc)))
    | ~ aElementOf0(X1,szDzozmdt0(xc))
    | sdtlpdtrp0(xc,X1) != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_33,plain,
    ( sbrdtbr0(X1) = sz00
    | X1 != slcrc0
    | ~ aSet0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_34,plain,
    aSet0(slcrc0),
    inference(er,[status(thm)],[c_0_28]) ).

cnf(c_0_35,plain,
    ( ~ aElementOf0(X1,X2)
    | X2 != slcrc0 ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_36,negated_conjecture,
    ( sdtlpdtrp0(xc,esk13_2(X1,X2)) != X1
    | ~ aSubsetOf0(X2,xS)
    | ~ isCountable0(X2)
    | ~ aElementOf0(X1,xT) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_37,hypothesis,
    ( esk13_2(X1,xS) = slcrc0
    | ~ aElementOf0(X1,xT) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).

cnf(c_0_38,hypothesis,
    ( aElementOf0(X1,xT)
    | ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_39,hypothesis,
    ( aElementOf0(sdtlpdtrp0(xc,X1),sdtlcdtrc0(xc,szDzozmdt0(xc)))
    | ~ aElementOf0(X1,szDzozmdt0(xc)) ),
    inference(er,[status(thm)],[c_0_32]) ).

cnf(c_0_40,hypothesis,
    ( aElementOf0(esk1_1(X1),X1)
    | aElementOf0(X1,szDzozmdt0(xc))
    | ~ aSet0(X1)
    | sbrdtbr0(X1) != xK ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_41,plain,
    sbrdtbr0(slcrc0) = xK,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_24])]),c_0_34])]) ).

cnf(c_0_42,plain,
    ~ aElementOf0(X1,slcrc0),
    inference(er,[status(thm)],[c_0_35]) ).

cnf(c_0_43,negated_conjecture,
    ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT),
    inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_16]),c_0_17])])]) ).

cnf(c_0_44,hypothesis,
    ( aElementOf0(sdtlpdtrp0(xc,X1),xT)
    | ~ aElementOf0(X1,szDzozmdt0(xc)) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_45,hypothesis,
    aElementOf0(slcrc0,szDzozmdt0(xc)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_34])]),c_0_42]) ).

cnf(c_0_46,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : NUM563+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10  % Command    : run_E %s %d THM
% 0.09/0.29  % Computer : n021.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 2400
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Mon Oct  2 14:17:13 EDT 2023
% 0.09/0.29  % CPUTime    : 
% 0.12/0.42  Running first-order model finding
% 0.12/0.42  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.xcUecv28Pg/E---3.1_23944.p
% 22.94/3.46  # Version: 3.1pre001
% 22.94/3.46  # Preprocessing class: FSLSSMSSSSSNFFN.
% 22.94/3.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.94/3.46  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 22.94/3.46  # Starting new_bool_3 with 300s (1) cores
% 22.94/3.46  # Starting new_bool_1 with 300s (1) cores
% 22.94/3.46  # Starting sh5l with 300s (1) cores
% 22.94/3.46  # new_bool_3 with pid 24097 completed with status 0
% 22.94/3.46  # Result found by new_bool_3
% 22.94/3.46  # Preprocessing class: FSLSSMSSSSSNFFN.
% 22.94/3.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.94/3.46  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 22.94/3.46  # Starting new_bool_3 with 300s (1) cores
% 22.94/3.46  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 22.94/3.46  # Search class: FGHSF-SMLM32-SFFFFFNN
% 22.94/3.46  # partial match(1): FGHSF-SMLM33-SFFFFFNN
% 22.94/3.46  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 22.94/3.46  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 114s (1) cores
% 22.94/3.46  # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 24150 completed with status 0
% 22.94/3.46  # Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 22.94/3.46  # Preprocessing class: FSLSSMSSSSSNFFN.
% 22.94/3.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 22.94/3.46  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 22.94/3.46  # Starting new_bool_3 with 300s (1) cores
% 22.94/3.46  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 22.94/3.46  # Search class: FGHSF-SMLM32-SFFFFFNN
% 22.94/3.46  # partial match(1): FGHSF-SMLM33-SFFFFFNN
% 22.94/3.46  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 22.94/3.46  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 114s (1) cores
% 22.94/3.46  # Preprocessing time       : 0.077 s
% 22.94/3.46  # Presaturation interreduction done
% 22.94/3.46  
% 22.94/3.46  # Proof found!
% 22.94/3.46  # SZS status Theorem
% 22.94/3.46  # SZS output start CNFRefutation
% See solution above
% 22.94/3.46  # Parsed axioms                        : 78
% 22.94/3.46  # Removed by relevancy pruning/SinE    : 17
% 22.94/3.46  # Initial clauses                      : 4104
% 22.94/3.46  # Removed in clause preprocessing      : 7
% 22.94/3.46  # Initial clauses in saturation        : 4097
% 22.94/3.46  # Processed clauses                    : 6329
% 22.94/3.46  # ...of these trivial                  : 4
% 22.94/3.46  # ...subsumed                          : 666
% 22.94/3.46  # ...remaining for further processing  : 5659
% 22.94/3.46  # Other redundant clauses eliminated   : 1914
% 22.94/3.46  # Clauses deleted for lack of memory   : 0
% 22.94/3.46  # Backward-subsumed                    : 38
% 22.94/3.46  # Backward-rewritten                   : 16
% 22.94/3.46  # Generated clauses                    : 3011
% 22.94/3.46  # ...of the previous two non-redundant : 2798
% 22.94/3.46  # ...aggressively subsumed             : 0
% 22.94/3.46  # Contextual simplify-reflections      : 11
% 22.94/3.46  # Paramodulations                      : 1287
% 22.94/3.46  # Factorizations                       : 0
% 22.94/3.46  # NegExts                              : 0
% 22.94/3.46  # Equation resolutions                 : 1915
% 22.94/3.46  # Total rewrite steps                  : 813
% 22.94/3.46  # Propositional unsat checks           : 2
% 22.94/3.46  #    Propositional check models        : 2
% 22.94/3.46  #    Propositional check unsatisfiable : 0
% 22.94/3.46  #    Propositional clauses             : 0
% 22.94/3.46  #    Propositional clauses after purity: 0
% 22.94/3.46  #    Propositional unsat core size     : 0
% 22.94/3.46  #    Propositional preprocessing time  : 0.000
% 22.94/3.46  #    Propositional encoding time       : 0.026
% 22.94/3.46  #    Propositional solver time         : 0.001
% 22.94/3.46  #    Success case prop preproc time    : 0.000
% 22.94/3.46  #    Success case prop encoding time   : 0.000
% 22.94/3.46  #    Success case prop solver time     : 0.000
% 22.94/3.46  # Current number of processed clauses  : 357
% 22.94/3.46  #    Positive orientable unit clauses  : 86
% 22.94/3.46  #    Positive unorientable unit clauses: 0
% 22.94/3.46  #    Negative unit clauses             : 24
% 22.94/3.46  #    Non-unit-clauses                  : 247
% 22.94/3.46  # Current number of unprocessed clauses: 4046
% 22.94/3.46  # ...number of literals in the above   : 43516
% 22.94/3.46  # Current number of archived formulas  : 0
% 22.94/3.46  # Current number of archived clauses   : 3583
% 22.94/3.46  # Clause-clause subsumption calls (NU) : 4610129
% 22.94/3.46  # Rec. Clause-clause subsumption calls : 73489
% 22.94/3.46  # Non-unit clause-clause subsumptions  : 654
% 22.94/3.46  # Unit Clause-clause subsumption calls : 1215
% 22.94/3.46  # Rewrite failures with RHS unbound    : 0
% 22.94/3.46  # BW rewrite match attempts            : 16
% 22.94/3.46  # BW rewrite match successes           : 11
% 22.94/3.46  # Condensation attempts                : 0
% 22.94/3.46  # Condensation successes               : 0
% 22.94/3.46  # Termbank termtop insertions          : 789202
% 22.94/3.46  
% 22.94/3.46  # -------------------------------------------------
% 22.94/3.46  # User time                : 2.968 s
% 22.94/3.46  # System time              : 0.030 s
% 22.94/3.46  # Total time               : 2.998 s
% 22.94/3.46  # Maximum resident set size: 13100 pages
% 22.94/3.46  
% 22.94/3.46  # -------------------------------------------------
% 22.94/3.46  # User time                : 2.972 s
% 22.94/3.46  # System time              : 0.033 s
% 22.94/3.46  # Total time               : 3.005 s
% 22.94/3.46  # Maximum resident set size: 1792 pages
% 22.94/3.46  % E---3.1 exiting
%------------------------------------------------------------------------------