TSTP Solution File: SWC220+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWC220+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art05.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 10:53:08 EST 2010

% Result   : Theorem 0.20s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   63 (  13 unt;   0 def)
%            Number of atoms       :  401 (  79 equ)
%            Maximal formula atoms :   46 (   6 avg)
%            Number of connectives :  504 ( 166   ~; 207   |; 107   &)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-3 aty)
%            Number of variables   :   90 (   0 sgn  44   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(24,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | nil = X1
                    | ? [X5] :
                        ( ssItem(X5)
                        & ? [X6] :
                            ( ssList(X6)
                            & ? [X7] :
                                ( ssList(X7)
                                & app(app(X6,cons(X5,nil)),X7) = X1
                                & ! [X8] :
                                    ( ssItem(X8)
                                   => ( ~ memberP(X6,X8)
                                      | ~ memberP(X7,X8)
                                      | ~ leq(X5,X8)
                                      | leq(X8,X5) ) ) ) ) )
                    | ( nil != X3
                      & ! [X9] :
                          ( ssItem(X9)
                         => ! [X10] :
                              ( ssList(X10)
                             => ! [X11] :
                                  ( ssList(X11)
                                 => ( app(app(X10,cons(X9,nil)),X11) != X3
                                    | ? [X12] :
                                        ( ssItem(X12)
                                        & ~ leq(X12,X9)
                                        & memberP(X10,X12)
                                        & memberP(X11,X12)
                                        & leq(X9,X12) ) ) ) ) ) ) ) ) ) ) ),
    file('/tmp/tmpaPSEMx/sel_SWC220+1.p_1',co1) ).

fof(25,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | nil = X1
                      | ? [X5] :
                          ( ssItem(X5)
                          & ? [X6] :
                              ( ssList(X6)
                              & ? [X7] :
                                  ( ssList(X7)
                                  & app(app(X6,cons(X5,nil)),X7) = X1
                                  & ! [X8] :
                                      ( ssItem(X8)
                                     => ( ~ memberP(X6,X8)
                                        | ~ memberP(X7,X8)
                                        | ~ leq(X5,X8)
                                        | leq(X8,X5) ) ) ) ) )
                      | ( nil != X3
                        & ! [X9] :
                            ( ssItem(X9)
                           => ! [X10] :
                                ( ssList(X10)
                               => ! [X11] :
                                    ( ssList(X11)
                                   => ( app(app(X10,cons(X9,nil)),X11) != X3
                                      | ? [X12] :
                                          ( ssItem(X12)
                                          & ~ leq(X12,X9)
                                          & memberP(X10,X12)
                                          & memberP(X11,X12)
                                          & leq(X9,X12) ) ) ) ) ) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[24]) ).

fof(27,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | nil = X1
                      | ? [X5] :
                          ( ssItem(X5)
                          & ? [X6] :
                              ( ssList(X6)
                              & ? [X7] :
                                  ( ssList(X7)
                                  & app(app(X6,cons(X5,nil)),X7) = X1
                                  & ! [X8] :
                                      ( ssItem(X8)
                                     => ( ~ memberP(X6,X8)
                                        | ~ memberP(X7,X8)
                                        | ~ leq(X5,X8)
                                        | leq(X8,X5) ) ) ) ) )
                      | ( nil != X3
                        & ! [X9] :
                            ( ssItem(X9)
                           => ! [X10] :
                                ( ssList(X10)
                               => ! [X11] :
                                    ( ssList(X11)
                                   => ( app(app(X10,cons(X9,nil)),X11) != X3
                                      | ? [X12] :
                                          ( ssItem(X12)
                                          & ~ leq(X12,X9)
                                          & memberP(X10,X12)
                                          & memberP(X11,X12)
                                          & leq(X9,X12) ) ) ) ) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[25,theory(equality)]) ).

fof(133,negated_conjecture,
    ? [X1] :
      ( ssList(X1)
      & ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( ssList(X3)
              & ? [X4] :
                  ( ssList(X4)
                  & X2 = X4
                  & X1 = X3
                  & nil != X1
                  & ! [X5] :
                      ( ~ ssItem(X5)
                      | ! [X6] :
                          ( ~ ssList(X6)
                          | ! [X7] :
                              ( ~ ssList(X7)
                              | app(app(X6,cons(X5,nil)),X7) != X1
                              | ? [X8] :
                                  ( ssItem(X8)
                                  & memberP(X6,X8)
                                  & memberP(X7,X8)
                                  & leq(X5,X8)
                                  & ~ leq(X8,X5) ) ) ) )
                  & ( nil = X3
                    | ? [X9] :
                        ( ssItem(X9)
                        & ? [X10] :
                            ( ssList(X10)
                            & ? [X11] :
                                ( ssList(X11)
                                & app(app(X10,cons(X9,nil)),X11) = X3
                                & ! [X12] :
                                    ( ~ ssItem(X12)
                                    | leq(X12,X9)
                                    | ~ memberP(X10,X12)
                                    | ~ memberP(X11,X12)
                                    | ~ leq(X9,X12) ) ) ) ) ) ) ) ) ),
    inference(fof_nnf,[status(thm)],[27]) ).

fof(134,negated_conjecture,
    ? [X13] :
      ( ssList(X13)
      & ? [X14] :
          ( ssList(X14)
          & ? [X15] :
              ( ssList(X15)
              & ? [X16] :
                  ( ssList(X16)
                  & X14 = X16
                  & X13 = X15
                  & nil != X13
                  & ! [X17] :
                      ( ~ ssItem(X17)
                      | ! [X18] :
                          ( ~ ssList(X18)
                          | ! [X19] :
                              ( ~ ssList(X19)
                              | app(app(X18,cons(X17,nil)),X19) != X13
                              | ? [X20] :
                                  ( ssItem(X20)
                                  & memberP(X18,X20)
                                  & memberP(X19,X20)
                                  & leq(X17,X20)
                                  & ~ leq(X20,X17) ) ) ) )
                  & ( nil = X15
                    | ? [X21] :
                        ( ssItem(X21)
                        & ? [X22] :
                            ( ssList(X22)
                            & ? [X23] :
                                ( ssList(X23)
                                & app(app(X22,cons(X21,nil)),X23) = X15
                                & ! [X24] :
                                    ( ~ ssItem(X24)
                                    | leq(X24,X21)
                                    | ~ memberP(X22,X24)
                                    | ~ memberP(X23,X24)
                                    | ~ leq(X21,X24) ) ) ) ) ) ) ) ) ),
    inference(variable_rename,[status(thm)],[133]) ).

fof(135,negated_conjecture,
    ( ssList(esk7_0)
    & ssList(esk8_0)
    & ssList(esk9_0)
    & ssList(esk10_0)
    & esk8_0 = esk10_0
    & esk7_0 = esk9_0
    & nil != esk7_0
    & ! [X17] :
        ( ~ ssItem(X17)
        | ! [X18] :
            ( ~ ssList(X18)
            | ! [X19] :
                ( ~ ssList(X19)
                | app(app(X18,cons(X17,nil)),X19) != esk7_0
                | ( ssItem(esk11_3(X17,X18,X19))
                  & memberP(X18,esk11_3(X17,X18,X19))
                  & memberP(X19,esk11_3(X17,X18,X19))
                  & leq(X17,esk11_3(X17,X18,X19))
                  & ~ leq(esk11_3(X17,X18,X19),X17) ) ) ) )
    & ( nil = esk9_0
      | ( ssItem(esk12_0)
        & ssList(esk13_0)
        & ssList(esk14_0)
        & app(app(esk13_0,cons(esk12_0,nil)),esk14_0) = esk9_0
        & ! [X24] :
            ( ~ ssItem(X24)
            | leq(X24,esk12_0)
            | ~ memberP(esk13_0,X24)
            | ~ memberP(esk14_0,X24)
            | ~ leq(esk12_0,X24) ) ) ) ),
    inference(skolemize,[status(esa)],[134]) ).

fof(136,negated_conjecture,
    ! [X17,X18,X19,X24] :
      ( ( ( ( ~ ssItem(X24)
            | leq(X24,esk12_0)
            | ~ memberP(esk13_0,X24)
            | ~ memberP(esk14_0,X24)
            | ~ leq(esk12_0,X24) )
          & app(app(esk13_0,cons(esk12_0,nil)),esk14_0) = esk9_0
          & ssList(esk14_0)
          & ssList(esk13_0)
          & ssItem(esk12_0) )
        | nil = esk9_0 )
      & ( ~ ssList(X19)
        | app(app(X18,cons(X17,nil)),X19) != esk7_0
        | ( ssItem(esk11_3(X17,X18,X19))
          & memberP(X18,esk11_3(X17,X18,X19))
          & memberP(X19,esk11_3(X17,X18,X19))
          & leq(X17,esk11_3(X17,X18,X19))
          & ~ leq(esk11_3(X17,X18,X19),X17) )
        | ~ ssList(X18)
        | ~ ssItem(X17) )
      & esk8_0 = esk10_0
      & esk7_0 = esk9_0
      & nil != esk7_0
      & ssList(esk10_0)
      & ssList(esk9_0)
      & ssList(esk8_0)
      & ssList(esk7_0) ),
    inference(shift_quantors,[status(thm)],[135]) ).

fof(137,negated_conjecture,
    ! [X17,X18,X19,X24] :
      ( ( ~ ssItem(X24)
        | leq(X24,esk12_0)
        | ~ memberP(esk13_0,X24)
        | ~ memberP(esk14_0,X24)
        | ~ leq(esk12_0,X24)
        | nil = esk9_0 )
      & ( app(app(esk13_0,cons(esk12_0,nil)),esk14_0) = esk9_0
        | nil = esk9_0 )
      & ( ssList(esk14_0)
        | nil = esk9_0 )
      & ( ssList(esk13_0)
        | nil = esk9_0 )
      & ( ssItem(esk12_0)
        | nil = esk9_0 )
      & ( ssItem(esk11_3(X17,X18,X19))
        | ~ ssList(X19)
        | app(app(X18,cons(X17,nil)),X19) != esk7_0
        | ~ ssList(X18)
        | ~ ssItem(X17) )
      & ( memberP(X18,esk11_3(X17,X18,X19))
        | ~ ssList(X19)
        | app(app(X18,cons(X17,nil)),X19) != esk7_0
        | ~ ssList(X18)
        | ~ ssItem(X17) )
      & ( memberP(X19,esk11_3(X17,X18,X19))
        | ~ ssList(X19)
        | app(app(X18,cons(X17,nil)),X19) != esk7_0
        | ~ ssList(X18)
        | ~ ssItem(X17) )
      & ( leq(X17,esk11_3(X17,X18,X19))
        | ~ ssList(X19)
        | app(app(X18,cons(X17,nil)),X19) != esk7_0
        | ~ ssList(X18)
        | ~ ssItem(X17) )
      & ( ~ leq(esk11_3(X17,X18,X19),X17)
        | ~ ssList(X19)
        | app(app(X18,cons(X17,nil)),X19) != esk7_0
        | ~ ssList(X18)
        | ~ ssItem(X17) )
      & esk8_0 = esk10_0
      & esk7_0 = esk9_0
      & nil != esk7_0
      & ssList(esk10_0)
      & ssList(esk9_0)
      & ssList(esk8_0)
      & ssList(esk7_0) ),
    inference(distribute,[status(thm)],[136]) ).

cnf(142,negated_conjecture,
    nil != esk7_0,
    inference(split_conjunct,[status(thm)],[137]) ).

cnf(143,negated_conjecture,
    esk7_0 = esk9_0,
    inference(split_conjunct,[status(thm)],[137]) ).

cnf(145,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | app(app(X2,cons(X1,nil)),X3) != esk7_0
    | ~ ssList(X3)
    | ~ leq(esk11_3(X1,X2,X3),X1) ),
    inference(split_conjunct,[status(thm)],[137]) ).

cnf(146,negated_conjecture,
    ( leq(X1,esk11_3(X1,X2,X3))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | app(app(X2,cons(X1,nil)),X3) != esk7_0
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[137]) ).

cnf(147,negated_conjecture,
    ( memberP(X3,esk11_3(X1,X2,X3))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | app(app(X2,cons(X1,nil)),X3) != esk7_0
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[137]) ).

cnf(148,negated_conjecture,
    ( memberP(X2,esk11_3(X1,X2,X3))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | app(app(X2,cons(X1,nil)),X3) != esk7_0
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[137]) ).

cnf(149,negated_conjecture,
    ( ssItem(esk11_3(X1,X2,X3))
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | app(app(X2,cons(X1,nil)),X3) != esk7_0
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[137]) ).

cnf(150,negated_conjecture,
    ( nil = esk9_0
    | ssItem(esk12_0) ),
    inference(split_conjunct,[status(thm)],[137]) ).

cnf(151,negated_conjecture,
    ( nil = esk9_0
    | ssList(esk13_0) ),
    inference(split_conjunct,[status(thm)],[137]) ).

cnf(152,negated_conjecture,
    ( nil = esk9_0
    | ssList(esk14_0) ),
    inference(split_conjunct,[status(thm)],[137]) ).

cnf(153,negated_conjecture,
    ( nil = esk9_0
    | app(app(esk13_0,cons(esk12_0,nil)),esk14_0) = esk9_0 ),
    inference(split_conjunct,[status(thm)],[137]) ).

cnf(154,negated_conjecture,
    ( nil = esk9_0
    | leq(X1,esk12_0)
    | ~ leq(esk12_0,X1)
    | ~ memberP(esk14_0,X1)
    | ~ memberP(esk13_0,X1)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[137]) ).

cnf(155,negated_conjecture,
    ( esk7_0 = nil
    | app(app(esk13_0,cons(esk12_0,nil)),esk14_0) = esk9_0 ),
    inference(rw,[status(thm)],[153,143,theory(equality)]) ).

cnf(156,negated_conjecture,
    ( esk7_0 = nil
    | app(app(esk13_0,cons(esk12_0,nil)),esk14_0) = esk7_0 ),
    inference(rw,[status(thm)],[155,143,theory(equality)]) ).

cnf(157,negated_conjecture,
    app(app(esk13_0,cons(esk12_0,nil)),esk14_0) = esk7_0,
    inference(sr,[status(thm)],[156,142,theory(equality)]) ).

cnf(161,negated_conjecture,
    ( esk7_0 = nil
    | ssList(esk13_0) ),
    inference(rw,[status(thm)],[151,143,theory(equality)]) ).

cnf(162,negated_conjecture,
    ssList(esk13_0),
    inference(sr,[status(thm)],[161,142,theory(equality)]) ).

cnf(163,negated_conjecture,
    ( esk7_0 = nil
    | ssList(esk14_0) ),
    inference(rw,[status(thm)],[152,143,theory(equality)]) ).

cnf(164,negated_conjecture,
    ssList(esk14_0),
    inference(sr,[status(thm)],[163,142,theory(equality)]) ).

cnf(165,negated_conjecture,
    ( esk7_0 = nil
    | ssItem(esk12_0) ),
    inference(rw,[status(thm)],[150,143,theory(equality)]) ).

cnf(166,negated_conjecture,
    ssItem(esk12_0),
    inference(sr,[status(thm)],[165,142,theory(equality)]) ).

cnf(301,negated_conjecture,
    ( esk7_0 = nil
    | leq(X1,esk12_0)
    | ~ ssItem(X1)
    | ~ leq(esk12_0,X1)
    | ~ memberP(esk13_0,X1)
    | ~ memberP(esk14_0,X1) ),
    inference(rw,[status(thm)],[154,143,theory(equality)]) ).

cnf(302,negated_conjecture,
    ( leq(X1,esk12_0)
    | ~ ssItem(X1)
    | ~ leq(esk12_0,X1)
    | ~ memberP(esk13_0,X1)
    | ~ memberP(esk14_0,X1) ),
    inference(sr,[status(thm)],[301,142,theory(equality)]) ).

cnf(325,negated_conjecture,
    ( ssItem(esk11_3(esk12_0,esk13_0,esk14_0))
    | ~ ssItem(esk12_0)
    | ~ ssList(esk14_0)
    | ~ ssList(esk13_0) ),
    inference(spm,[status(thm)],[149,157,theory(equality)]) ).

cnf(330,negated_conjecture,
    ( ssItem(esk11_3(esk12_0,esk13_0,esk14_0))
    | $false
    | ~ ssList(esk14_0)
    | ~ ssList(esk13_0) ),
    inference(rw,[status(thm)],[325,166,theory(equality)]) ).

cnf(331,negated_conjecture,
    ( ssItem(esk11_3(esk12_0,esk13_0,esk14_0))
    | $false
    | $false
    | ~ ssList(esk13_0) ),
    inference(rw,[status(thm)],[330,164,theory(equality)]) ).

cnf(332,negated_conjecture,
    ( ssItem(esk11_3(esk12_0,esk13_0,esk14_0))
    | $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[331,162,theory(equality)]) ).

cnf(333,negated_conjecture,
    ssItem(esk11_3(esk12_0,esk13_0,esk14_0)),
    inference(cn,[status(thm)],[332,theory(equality)]) ).

cnf(338,negated_conjecture,
    ( leq(esk12_0,esk11_3(esk12_0,esk13_0,esk14_0))
    | ~ ssItem(esk12_0)
    | ~ ssList(esk14_0)
    | ~ ssList(esk13_0) ),
    inference(spm,[status(thm)],[146,157,theory(equality)]) ).

cnf(343,negated_conjecture,
    ( leq(esk12_0,esk11_3(esk12_0,esk13_0,esk14_0))
    | $false
    | ~ ssList(esk14_0)
    | ~ ssList(esk13_0) ),
    inference(rw,[status(thm)],[338,166,theory(equality)]) ).

cnf(344,negated_conjecture,
    ( leq(esk12_0,esk11_3(esk12_0,esk13_0,esk14_0))
    | $false
    | $false
    | ~ ssList(esk13_0) ),
    inference(rw,[status(thm)],[343,164,theory(equality)]) ).

cnf(345,negated_conjecture,
    ( leq(esk12_0,esk11_3(esk12_0,esk13_0,esk14_0))
    | $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[344,162,theory(equality)]) ).

cnf(346,negated_conjecture,
    leq(esk12_0,esk11_3(esk12_0,esk13_0,esk14_0)),
    inference(cn,[status(thm)],[345,theory(equality)]) ).

cnf(351,negated_conjecture,
    ( memberP(esk14_0,esk11_3(esk12_0,esk13_0,esk14_0))
    | ~ ssItem(esk12_0)
    | ~ ssList(esk14_0)
    | ~ ssList(esk13_0) ),
    inference(spm,[status(thm)],[147,157,theory(equality)]) ).

cnf(356,negated_conjecture,
    ( memberP(esk14_0,esk11_3(esk12_0,esk13_0,esk14_0))
    | $false
    | ~ ssList(esk14_0)
    | ~ ssList(esk13_0) ),
    inference(rw,[status(thm)],[351,166,theory(equality)]) ).

cnf(357,negated_conjecture,
    ( memberP(esk14_0,esk11_3(esk12_0,esk13_0,esk14_0))
    | $false
    | $false
    | ~ ssList(esk13_0) ),
    inference(rw,[status(thm)],[356,164,theory(equality)]) ).

cnf(358,negated_conjecture,
    ( memberP(esk14_0,esk11_3(esk12_0,esk13_0,esk14_0))
    | $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[357,162,theory(equality)]) ).

cnf(359,negated_conjecture,
    memberP(esk14_0,esk11_3(esk12_0,esk13_0,esk14_0)),
    inference(cn,[status(thm)],[358,theory(equality)]) ).

cnf(364,negated_conjecture,
    ( memberP(esk13_0,esk11_3(esk12_0,esk13_0,esk14_0))
    | ~ ssItem(esk12_0)
    | ~ ssList(esk14_0)
    | ~ ssList(esk13_0) ),
    inference(spm,[status(thm)],[148,157,theory(equality)]) ).

cnf(369,negated_conjecture,
    ( memberP(esk13_0,esk11_3(esk12_0,esk13_0,esk14_0))
    | $false
    | ~ ssList(esk14_0)
    | ~ ssList(esk13_0) ),
    inference(rw,[status(thm)],[364,166,theory(equality)]) ).

cnf(370,negated_conjecture,
    ( memberP(esk13_0,esk11_3(esk12_0,esk13_0,esk14_0))
    | $false
    | $false
    | ~ ssList(esk13_0) ),
    inference(rw,[status(thm)],[369,164,theory(equality)]) ).

cnf(371,negated_conjecture,
    ( memberP(esk13_0,esk11_3(esk12_0,esk13_0,esk14_0))
    | $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[370,162,theory(equality)]) ).

cnf(372,negated_conjecture,
    memberP(esk13_0,esk11_3(esk12_0,esk13_0,esk14_0)),
    inference(cn,[status(thm)],[371,theory(equality)]) ).

cnf(415,negated_conjecture,
    ( leq(esk11_3(esk12_0,esk13_0,esk14_0),esk12_0)
    | ~ memberP(esk14_0,esk11_3(esk12_0,esk13_0,esk14_0))
    | ~ leq(esk12_0,esk11_3(esk12_0,esk13_0,esk14_0))
    | ~ ssItem(esk11_3(esk12_0,esk13_0,esk14_0)) ),
    inference(spm,[status(thm)],[302,372,theory(equality)]) ).

cnf(434,negated_conjecture,
    ( leq(esk11_3(esk12_0,esk13_0,esk14_0),esk12_0)
    | $false
    | ~ leq(esk12_0,esk11_3(esk12_0,esk13_0,esk14_0))
    | ~ ssItem(esk11_3(esk12_0,esk13_0,esk14_0)) ),
    inference(rw,[status(thm)],[415,359,theory(equality)]) ).

cnf(435,negated_conjecture,
    ( leq(esk11_3(esk12_0,esk13_0,esk14_0),esk12_0)
    | $false
    | $false
    | ~ ssItem(esk11_3(esk12_0,esk13_0,esk14_0)) ),
    inference(rw,[status(thm)],[434,346,theory(equality)]) ).

cnf(436,negated_conjecture,
    ( leq(esk11_3(esk12_0,esk13_0,esk14_0),esk12_0)
    | $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[435,333,theory(equality)]) ).

cnf(437,negated_conjecture,
    leq(esk11_3(esk12_0,esk13_0,esk14_0),esk12_0),
    inference(cn,[status(thm)],[436,theory(equality)]) ).

cnf(474,negated_conjecture,
    ( app(app(esk13_0,cons(esk12_0,nil)),esk14_0) != esk7_0
    | ~ ssItem(esk12_0)
    | ~ ssList(esk14_0)
    | ~ ssList(esk13_0) ),
    inference(spm,[status(thm)],[145,437,theory(equality)]) ).

cnf(482,negated_conjecture,
    ( $false
    | ~ ssItem(esk12_0)
    | ~ ssList(esk14_0)
    | ~ ssList(esk13_0) ),
    inference(rw,[status(thm)],[474,157,theory(equality)]) ).

cnf(483,negated_conjecture,
    ( $false
    | $false
    | ~ ssList(esk14_0)
    | ~ ssList(esk13_0) ),
    inference(rw,[status(thm)],[482,166,theory(equality)]) ).

cnf(484,negated_conjecture,
    ( $false
    | $false
    | $false
    | ~ ssList(esk13_0) ),
    inference(rw,[status(thm)],[483,164,theory(equality)]) ).

cnf(485,negated_conjecture,
    ( $false
    | $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[484,162,theory(equality)]) ).

cnf(486,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[485,theory(equality)]) ).

cnf(487,negated_conjecture,
    $false,
    486,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWC/SWC220+1.p
% --creating new selector for [SWC001+0.ax]
% -running prover on /tmp/tmpaPSEMx/sel_SWC220+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWC220+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWC/SWC220+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWC/SWC220+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------