TSTP Solution File: NUM448+5 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : NUM448+5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 10:37:35 EDT 2023

% Result   : Theorem 0.19s 0.61s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   51
% Syntax   : Number of formulae    :   89 (   7 unt;  47 typ;   0 def)
%            Number of atoms       :  275 (  63 equ)
%            Maximal formula atoms :  102 (   6 avg)
%            Number of connectives :  363 ( 130   ~; 141   |;  71   &)
%                                         (   7 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   41 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   67 (  40   >;  27   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :   37 (  37 usr;   7 con; 0-3 aty)
%            Number of variables   :   55 (   0 sgn;  21   !;  15   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    aInteger0: $i > $o ).

tff(decl_23,type,
    sz00: $i ).

tff(decl_24,type,
    sz10: $i ).

tff(decl_25,type,
    smndt0: $i > $i ).

tff(decl_26,type,
    sdtpldt0: ( $i * $i ) > $i ).

tff(decl_27,type,
    sdtasdt0: ( $i * $i ) > $i ).

tff(decl_28,type,
    aDivisorOf0: ( $i * $i ) > $o ).

tff(decl_29,type,
    sdteqdtlpzmzozddtrp0: ( $i * $i * $i ) > $o ).

tff(decl_30,type,
    isPrime0: $i > $o ).

tff(decl_31,type,
    aSet0: $i > $o ).

tff(decl_32,type,
    aElementOf0: ( $i * $i ) > $o ).

tff(decl_33,type,
    aSubsetOf0: ( $i * $i ) > $o ).

tff(decl_34,type,
    isFinite0: $i > $o ).

tff(decl_35,type,
    cS1395: $i ).

tff(decl_36,type,
    sdtbsmnsldt0: ( $i * $i ) > $i ).

tff(decl_37,type,
    sdtslmnbsdt0: ( $i * $i ) > $i ).

tff(decl_38,type,
    sbsmnsldt0: $i > $i ).

tff(decl_39,type,
    stldt0: $i > $i ).

tff(decl_40,type,
    szAzrzSzezqlpdtcmdtrp0: ( $i * $i ) > $i ).

tff(decl_41,type,
    isOpen0: $i > $o ).

tff(decl_42,type,
    isClosed0: $i > $o ).

tff(decl_43,type,
    xS: $i ).

tff(decl_44,type,
    cS2043: $i ).

tff(decl_45,type,
    cS2076: $i ).

tff(decl_46,type,
    esk1_2: ( $i * $i ) > $i ).

tff(decl_47,type,
    esk2_1: $i > $i ).

tff(decl_48,type,
    esk3_2: ( $i * $i ) > $i ).

tff(decl_49,type,
    esk4_3: ( $i * $i * $i ) > $i ).

tff(decl_50,type,
    esk5_3: ( $i * $i * $i ) > $i ).

tff(decl_51,type,
    esk6_1: $i > $i ).

tff(decl_52,type,
    esk7_3: ( $i * $i * $i ) > $i ).

tff(decl_53,type,
    esk8_2: ( $i * $i ) > $i ).

tff(decl_54,type,
    esk9_2: ( $i * $i ) > $i ).

tff(decl_55,type,
    esk10_2: ( $i * $i ) > $i ).

tff(decl_56,type,
    esk11_3: ( $i * $i * $i ) > $i ).

tff(decl_57,type,
    esk12_2: ( $i * $i ) > $i ).

tff(decl_58,type,
    esk13_1: $i > $i ).

tff(decl_59,type,
    esk14_1: $i > $i ).

tff(decl_60,type,
    esk15_1: $i > $i ).

tff(decl_61,type,
    esk16_1: $i > $i ).

tff(decl_62,type,
    esk17_2: ( $i * $i ) > $i ).

tff(decl_63,type,
    esk18_3: ( $i * $i * $i ) > $i ).

tff(decl_64,type,
    esk19_1: $i > $i ).

tff(decl_65,type,
    esk20_1: $i > $i ).

tff(decl_66,type,
    esk21_1: $i > $i ).

tff(decl_67,type,
    esk22_1: $i > $i ).

tff(decl_68,type,
    esk23_0: $i ).

fof(m__,conjecture,
    ( ! [X1] :
        ( aInteger0(X1)
       => ( ( ( ? [X2] :
                  ( aElementOf0(X2,xS)
                  & aElementOf0(X1,X2) )
              | aElementOf0(X1,sbsmnsldt0(xS)) )
           => ? [X2] :
                ( aInteger0(X2)
                & X2 != sz00
                & ? [X3] :
                    ( aInteger0(X3)
                    & sdtasdt0(X2,X3) = X1 )
                & aDivisorOf0(X2,X1)
                & isPrime0(X2) ) )
          & ( ? [X2] :
                ( ( ( aInteger0(X2)
                    & X2 != sz00
                    & ? [X3] :
                        ( aInteger0(X3)
                        & sdtasdt0(X2,X3) = X1 ) )
                  | aDivisorOf0(X2,X1) )
                & isPrime0(X2) )
           => ( ? [X2] :
                  ( aElementOf0(X2,xS)
                  & aElementOf0(X1,X2) )
              & aElementOf0(X1,sbsmnsldt0(xS)) ) ) ) )
   => ( ( 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/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(mIntNeg,axiom,
    ! [X1] :
      ( aInteger0(X1)
     => aInteger0(smndt0(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).

fof(mPrimeDivisor,axiom,
    ! [X1] :
      ( aInteger0(X1)
     => ( ? [X2] :
            ( aDivisorOf0(X2,X1)
            & isPrime0(X2) )
      <=> ( X1 != sz10
          & X1 != smndt0(sz10) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPrimeDivisor) ).

fof(mIntOne,axiom,
    aInteger0(sz10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).

fof(c_0_4,negated_conjecture,
    ~ ( ! [X1] :
          ( aInteger0(X1)
         => ( ( ( ? [X2] :
                    ( aElementOf0(X2,xS)
                    & aElementOf0(X1,X2) )
                | aElementOf0(X1,sbsmnsldt0(xS)) )
             => ? [X2] :
                  ( aInteger0(X2)
                  & X2 != sz00
                  & ? [X3] :
                      ( aInteger0(X3)
                      & sdtasdt0(X2,X3) = X1 )
                  & aDivisorOf0(X2,X1)
                  & isPrime0(X2) ) )
            & ( ? [X2] :
                  ( ( ( aInteger0(X2)
                      & X2 != sz00
                      & ? [X3] :
                          ( aInteger0(X3)
                          & sdtasdt0(X2,X3) = X1 ) )
                    | aDivisorOf0(X2,X1) )
                  & isPrime0(X2) )
             => ( ? [X2] :
                    ( aElementOf0(X2,xS)
                    & aElementOf0(X1,X2) )
                & aElementOf0(X1,sbsmnsldt0(xS)) ) ) ) )
     => ( ( 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 ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).

fof(c_0_5,negated_conjecture,
    ! [X125,X126,X129,X130,X132,X134,X135,X136] :
      ( ( aInteger0(esk19_1(X125))
        | ~ aElementOf0(X126,xS)
        | ~ aElementOf0(X125,X126)
        | ~ aInteger0(X125) )
      & ( esk19_1(X125) != sz00
        | ~ aElementOf0(X126,xS)
        | ~ aElementOf0(X125,X126)
        | ~ aInteger0(X125) )
      & ( aInteger0(esk20_1(X125))
        | ~ aElementOf0(X126,xS)
        | ~ aElementOf0(X125,X126)
        | ~ aInteger0(X125) )
      & ( sdtasdt0(esk19_1(X125),esk20_1(X125)) = X125
        | ~ aElementOf0(X126,xS)
        | ~ aElementOf0(X125,X126)
        | ~ aInteger0(X125) )
      & ( aDivisorOf0(esk19_1(X125),X125)
        | ~ aElementOf0(X126,xS)
        | ~ aElementOf0(X125,X126)
        | ~ aInteger0(X125) )
      & ( isPrime0(esk19_1(X125))
        | ~ aElementOf0(X126,xS)
        | ~ aElementOf0(X125,X126)
        | ~ aInteger0(X125) )
      & ( aInteger0(esk19_1(X125))
        | ~ aElementOf0(X125,sbsmnsldt0(xS))
        | ~ aInteger0(X125) )
      & ( esk19_1(X125) != sz00
        | ~ aElementOf0(X125,sbsmnsldt0(xS))
        | ~ aInteger0(X125) )
      & ( aInteger0(esk20_1(X125))
        | ~ aElementOf0(X125,sbsmnsldt0(xS))
        | ~ aInteger0(X125) )
      & ( sdtasdt0(esk19_1(X125),esk20_1(X125)) = X125
        | ~ aElementOf0(X125,sbsmnsldt0(xS))
        | ~ aInteger0(X125) )
      & ( aDivisorOf0(esk19_1(X125),X125)
        | ~ aElementOf0(X125,sbsmnsldt0(xS))
        | ~ aInteger0(X125) )
      & ( isPrime0(esk19_1(X125))
        | ~ aElementOf0(X125,sbsmnsldt0(xS))
        | ~ aInteger0(X125) )
      & ( aElementOf0(esk21_1(X125),xS)
        | ~ aInteger0(X129)
        | X129 = sz00
        | ~ aInteger0(X130)
        | sdtasdt0(X129,X130) != X125
        | ~ isPrime0(X129)
        | ~ aInteger0(X125) )
      & ( aElementOf0(X125,esk21_1(X125))
        | ~ aInteger0(X129)
        | X129 = sz00
        | ~ aInteger0(X130)
        | sdtasdt0(X129,X130) != X125
        | ~ isPrime0(X129)
        | ~ aInteger0(X125) )
      & ( aElementOf0(X125,sbsmnsldt0(xS))
        | ~ aInteger0(X129)
        | X129 = sz00
        | ~ aInteger0(X130)
        | sdtasdt0(X129,X130) != X125
        | ~ isPrime0(X129)
        | ~ aInteger0(X125) )
      & ( aElementOf0(esk21_1(X125),xS)
        | ~ aDivisorOf0(X129,X125)
        | ~ isPrime0(X129)
        | ~ aInteger0(X125) )
      & ( aElementOf0(X125,esk21_1(X125))
        | ~ aDivisorOf0(X129,X125)
        | ~ isPrime0(X129)
        | ~ aInteger0(X125) )
      & ( aElementOf0(X125,sbsmnsldt0(xS))
        | ~ aDivisorOf0(X129,X125)
        | ~ isPrime0(X129)
        | ~ aInteger0(X125) )
      & aSet0(sbsmnsldt0(xS))
      & ( aInteger0(X132)
        | ~ aElementOf0(X132,sbsmnsldt0(xS)) )
      & ( aElementOf0(esk22_1(X132),xS)
        | ~ aElementOf0(X132,sbsmnsldt0(xS)) )
      & ( aElementOf0(X132,esk22_1(X132))
        | ~ aElementOf0(X132,sbsmnsldt0(xS)) )
      & ( ~ aInteger0(X134)
        | ~ aElementOf0(X135,xS)
        | ~ aElementOf0(X134,X135)
        | aElementOf0(X134,sbsmnsldt0(xS)) )
      & aSet0(stldt0(sbsmnsldt0(xS)))
      & ( aInteger0(X136)
        | ~ aElementOf0(X136,stldt0(sbsmnsldt0(xS))) )
      & ( ~ aElementOf0(X136,sbsmnsldt0(xS))
        | ~ aElementOf0(X136,stldt0(sbsmnsldt0(xS))) )
      & ( ~ aInteger0(X136)
        | aElementOf0(X136,sbsmnsldt0(xS))
        | aElementOf0(X136,stldt0(sbsmnsldt0(xS))) )
      & ( esk23_0 != sz10
        | ~ aElementOf0(esk23_0,stldt0(sbsmnsldt0(xS))) )
      & ( esk23_0 != smndt0(sz10)
        | ~ aElementOf0(esk23_0,stldt0(sbsmnsldt0(xS))) )
      & ( aElementOf0(esk23_0,stldt0(sbsmnsldt0(xS)))
        | esk23_0 = sz10
        | esk23_0 = smndt0(sz10) )
      & stldt0(sbsmnsldt0(xS)) != cS2076 ),
    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)],[c_0_4])])])])])]) ).

fof(c_0_6,plain,
    ! [X5] :
      ( ~ aInteger0(X5)
      | aInteger0(smndt0(X5)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])]) ).

cnf(c_0_7,negated_conjecture,
    ( aInteger0(X1)
    | ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    ( aElementOf0(esk23_0,stldt0(sbsmnsldt0(xS)))
    | esk23_0 = sz10
    | esk23_0 = smndt0(sz10) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_9,plain,
    ! [X51,X52] :
      ( ( X51 != sz10
        | ~ aDivisorOf0(X52,X51)
        | ~ isPrime0(X52)
        | ~ aInteger0(X51) )
      & ( X51 != smndt0(sz10)
        | ~ aDivisorOf0(X52,X51)
        | ~ isPrime0(X52)
        | ~ aInteger0(X51) )
      & ( aDivisorOf0(esk2_1(X51),X51)
        | X51 = sz10
        | X51 = smndt0(sz10)
        | ~ aInteger0(X51) )
      & ( isPrime0(esk2_1(X51))
        | X51 = sz10
        | X51 = smndt0(sz10)
        | ~ aInteger0(X51) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mPrimeDivisor])])])])]) ).

cnf(c_0_10,plain,
    ( aInteger0(smndt0(X1))
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,negated_conjecture,
    ( smndt0(sz10) = esk23_0
    | esk23_0 = sz10
    | aInteger0(esk23_0) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,plain,
    aInteger0(sz10),
    inference(split_conjunct,[status(thm)],[mIntOne]) ).

cnf(c_0_13,plain,
    ( X1 != smndt0(sz10)
    | ~ aDivisorOf0(X2,X1)
    | ~ isPrime0(X2)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,negated_conjecture,
    ( aDivisorOf0(esk19_1(X1),X1)
    | ~ aElementOf0(X1,sbsmnsldt0(xS))
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_15,negated_conjecture,
    ( aInteger0(X1)
    | ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_16,negated_conjecture,
    ( isPrime0(esk19_1(X1))
    | ~ aElementOf0(X1,sbsmnsldt0(xS))
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_17,plain,
    ( aDivisorOf0(esk2_1(X1),X1)
    | X1 = sz10
    | X1 = smndt0(sz10)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_18,negated_conjecture,
    ( esk23_0 = sz10
    | aInteger0(esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).

cnf(c_0_19,plain,
    ( isPrime0(esk2_1(X1))
    | X1 = sz10
    | X1 = smndt0(sz10)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_20,negated_conjecture,
    ( ~ aElementOf0(X1,sbsmnsldt0(xS))
    | ~ aElementOf0(X1,stldt0(sbsmnsldt0(xS))) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_21,negated_conjecture,
    ( aElementOf0(X1,sbsmnsldt0(xS))
    | aElementOf0(X1,stldt0(sbsmnsldt0(xS)))
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_22,plain,
    ( ~ isPrime0(X1)
    | ~ aDivisorOf0(X1,smndt0(sz10))
    | ~ aInteger0(smndt0(sz10)) ),
    inference(er,[status(thm)],[c_0_13]) ).

cnf(c_0_23,negated_conjecture,
    ( aDivisorOf0(esk19_1(X1),X1)
    | ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
    inference(csr,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_24,negated_conjecture,
    ( isPrime0(esk19_1(X1))
    | ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
    inference(csr,[status(thm)],[c_0_16,c_0_15]) ).

cnf(c_0_25,negated_conjecture,
    ( aElementOf0(X1,sbsmnsldt0(xS))
    | ~ aDivisorOf0(X2,X1)
    | ~ isPrime0(X2)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_26,negated_conjecture,
    ( smndt0(sz10) = esk23_0
    | esk23_0 = sz10
    | aDivisorOf0(esk2_1(esk23_0),esk23_0) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_27,negated_conjecture,
    ( smndt0(sz10) = esk23_0
    | esk23_0 = sz10
    | isPrime0(esk2_1(esk23_0)) ),
    inference(spm,[status(thm)],[c_0_19,c_0_18]) ).

cnf(c_0_28,negated_conjecture,
    ( smndt0(sz10) = esk23_0
    | esk23_0 = sz10
    | ~ aElementOf0(esk23_0,sbsmnsldt0(xS)) ),
    inference(spm,[status(thm)],[c_0_20,c_0_8]) ).

cnf(c_0_29,plain,
    ( X1 != sz10
    | ~ aDivisorOf0(X2,X1)
    | ~ isPrime0(X2)
    | ~ aInteger0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_30,negated_conjecture,
    ( esk23_0 != smndt0(sz10)
    | ~ aElementOf0(esk23_0,stldt0(sbsmnsldt0(xS))) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_31,negated_conjecture,
    ( esk23_0 = sz10
    | aElementOf0(esk23_0,stldt0(sbsmnsldt0(xS)))
    | aElementOf0(esk23_0,sbsmnsldt0(xS)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_18]) ).

cnf(c_0_32,negated_conjecture,
    ~ aElementOf0(smndt0(sz10),sbsmnsldt0(xS)),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_15]),c_0_24]) ).

cnf(c_0_33,negated_conjecture,
    ( smndt0(sz10) = esk23_0
    | esk23_0 = sz10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_18]),c_0_27]),c_0_28]) ).

cnf(c_0_34,plain,
    ( ~ isPrime0(X1)
    | ~ aDivisorOf0(X1,sz10) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_29]),c_0_12])]) ).

cnf(c_0_35,negated_conjecture,
    ( esk23_0 = sz10
    | aElementOf0(esk23_0,sbsmnsldt0(xS))
    | smndt0(sz10) != esk23_0 ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_36,negated_conjecture,
    ( esk23_0 = sz10
    | ~ aElementOf0(esk23_0,sbsmnsldt0(xS)) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_37,negated_conjecture,
    ~ aElementOf0(sz10,sbsmnsldt0(xS)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_23]),c_0_24]) ).

cnf(c_0_38,negated_conjecture,
    ( esk23_0 != sz10
    | ~ aElementOf0(esk23_0,stldt0(sbsmnsldt0(xS))) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_39,negated_conjecture,
    esk23_0 = sz10,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_33]),c_0_36]) ).

cnf(c_0_40,negated_conjecture,
    aElementOf0(sz10,stldt0(sbsmnsldt0(xS))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_12]),c_0_37]) ).

cnf(c_0_41,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39]),c_0_39]),c_0_40])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : NUM448+5 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri Aug 25 09:59:23 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.56  start to proof: theBenchmark
% 0.19/0.61  % Version  : CSE_E---1.5
% 0.19/0.61  % Problem  : theBenchmark.p
% 0.19/0.61  % Proof found
% 0.19/0.61  % SZS status Theorem for theBenchmark.p
% 0.19/0.61  % SZS output start Proof
% See solution above
% 0.19/0.62  % Total time : 0.039000 s
% 0.19/0.62  % SZS output end Proof
% 0.19/0.62  % Total time : 0.044000 s
%------------------------------------------------------------------------------