%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : NUM464+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 13:36:46 EDT 2022

% Result   : Theorem 3.37s 3.56s
% Output   : Refutation 3.37s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ( xm != sz00
   => sdtlseqdt0(sz10,xm) ),
    input ).

fof(c5,negated_conjecture,
    ~ ( xm != sz00
     => sdtlseqdt0(sz10,xm) ),
    inference(assume_negation,status(cth),[m__]) ).

fof(c6,negated_conjecture,
    ( xm != sz00
    & ~ sdtlseqdt0(sz10,xm) ),
    inference(fof_nnf,status(thm),[c5]) ).

cnf(c8,negated_conjecture,
    ~ sdtlseqdt0(sz10,xm),
    inference(split_conjunct,status(thm),[c6]) ).

cnf(reflexivity,axiom,
    X55 = X55,
    eq_axiom ).

fof(m__987,plain,
    ( aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    input ).

cnf(c9,plain,
    aNaturalNumber0(xm),
    inference(split_conjunct,status(thm),[m__987]) ).

fof(mLERefl,axiom,
    ! [W0] :
      ( aNaturalNumber0(W0)
     => sdtlseqdt0(W0,W0) ),
    input ).

fof(c42,axiom,
    ! [W0] :
      ( ~ aNaturalNumber0(W0)
      | sdtlseqdt0(W0,W0) ),
    inference(fof_nnf,status(thm),[mLERefl]) ).

fof(c43,axiom,
    ! [X16] :
      ( ~ aNaturalNumber0(X16)
      | sdtlseqdt0(X16,X16) ),
    inference(variable_rename,status(thm),[c42]) ).

cnf(c44,axiom,
    ( ~ aNaturalNumber0(X62)
    | sdtlseqdt0(X62,X62) ),
    inference(split_conjunct,status(thm),[c43]) ).

cnf(c125,plain,
    sdtlseqdt0(xm,xm),
    inference(resolution,status(thm),[c44,c9]) ).

cnf(c4,plain,
    ( X83 != X81
    | X84 != X82
    | ~ sdtlseqdt0(X83,X84)
    | sdtlseqdt0(X81,X82) ),
    eq_axiom ).

cnf(c185,plain,
    ( xm != X264
    | xm != X263
    | sdtlseqdt0(X264,X263) ),
    inference(resolution,status(thm),[c4,c125]) ).

cnf(c7033,plain,
    ( xm != X265
    | sdtlseqdt0(X265,xm) ),
    inference(resolution,status(thm),[c185,reflexivity]) ).

cnf(c7,negated_conjecture,
    xm != sz00,
    inference(split_conjunct,status(thm),[c6]) ).

fof(mLENTr,axiom,
    ! [W0] :
      ( aNaturalNumber0(W0)
     => ( W0 = sz00
        | W0 = sz10
        | ( sz10 != W0
          & sdtlseqdt0(sz10,W0) ) ) ),
    input ).

fof(c11,axiom,
    ! [W0] :
      ( ~ aNaturalNumber0(W0)
      | W0 = sz00
      | W0 = sz10
      | ( sz10 != W0
        & sdtlseqdt0(sz10,W0) ) ),
    inference(fof_nnf,status(thm),[mLENTr]) ).

fof(c12,axiom,
    ! [X2] :
      ( ~ aNaturalNumber0(X2)
      | X2 = sz00
      | X2 = sz10
      | ( sz10 != X2
        & sdtlseqdt0(sz10,X2) ) ),
    inference(variable_rename,status(thm),[c11]) ).

fof(c13,axiom,
    ! [X2] :
      ( ( ~ aNaturalNumber0(X2)
        | X2 = sz00
        | X2 = sz10
        | sz10 != X2 )
      & ( ~ aNaturalNumber0(X2)
        | X2 = sz00
        | X2 = sz10
        | sdtlseqdt0(sz10,X2) ) ),
    inference(distribute,status(thm),[c12]) ).

cnf(c15,axiom,
    ( ~ aNaturalNumber0(X87)
    | X87 = sz00
    | X87 = sz10
    | sdtlseqdt0(sz10,X87) ),
    inference(split_conjunct,status(thm),[c13]) ).

cnf(c229,plain,
    ( xm = sz00
    | xm = sz10
    | sdtlseqdt0(sz10,xm) ),
    inference(resolution,status(thm),[c15,c9]) ).

cnf(c10585,plain,
    ( xm = sz10
    | sdtlseqdt0(sz10,xm) ),
    inference(resolution,status(thm),[c229,c7]) ).

cnf(c10986,plain,
    sdtlseqdt0(sz10,xm),
    inference(resolution,status(thm),[c10585,c7033]) ).

cnf(c11007,plain,
    $false,
    inference(resolution,status(thm),[c10986,c8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM464+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n020.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  : 600
% 0.12/0.34  % DateTime : Tue Jul  5 11:35:14 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 3.37/3.56  # Version:  1.3
% 3.37/3.56  # SZS status Theorem
% 3.37/3.56  # SZS output start CNFRefutation
% See solution above
% 3.37/3.56  
% 3.37/3.56  # Initial clauses    : 58
% 3.37/3.56  # Processed clauses  : 525
% 3.37/3.56  # Factors computed   : 0
% 3.37/3.56  # Resolvents computed: 10893
% 3.37/3.56  # Tautologies deleted: 2
% 3.37/3.56  # Forward subsumed   : 99
% 3.37/3.56  # Backward subsumed  : 10
% 3.37/3.56  # -------- CPU Time ---------
% 3.37/3.56  # User time          : 3.182 s
% 3.37/3.56  # System time        : 0.029 s
% 3.37/3.56  # Total time         : 3.211 s
%------------------------------------------------------------------------------