TSTP Solution File: SWC080+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWC080+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art03.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 10:13:10 EST 2010

% Result   : Theorem 0.37s
% Output   : CNFRefutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   69 (  12 unt;   0 def)
%            Number of atoms       :  412 (  50 equ)
%            Maximal formula atoms :   36 (   5 avg)
%            Number of connectives :  565 ( 222   ~; 222   |; 105   &)
%                                         (   2 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :  118 (   0 sgn  62   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(7,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(nil,X1) = X1 ),
    file('/tmp/tmp-PcDf_/sel_SWC080+1.p_1',ax28) ).

fof(18,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( segmentP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & ? [X4] :
                    ( ssList(X4)
                    & app(app(X3,X2),X4) = X1 ) ) ) ) ),
    file('/tmp/tmp-PcDf_/sel_SWC080+1.p_1',ax7) ).

fof(19,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( frontsegP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & app(X2,X3) = X1 ) ) ) ),
    file('/tmp/tmp-PcDf_/sel_SWC080+1.p_1',ax5) ).

fof(27,axiom,
    ssList(nil),
    file('/tmp/tmp-PcDf_/sel_SWC080+1.p_1',ax17) ).

fof(34,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ~ ssList(X4)
                  | X2 != X4
                  | X1 != X3
                  | ( ( ~ neq(X2,nil)
                      | ? [X5] :
                          ( ssList(X5)
                          & neq(X5,nil)
                          & segmentP(X2,X5)
                          & segmentP(X1,X5) )
                      | ! [X6] :
                          ( ~ ssList(X6)
                          | ~ neq(X6,nil)
                          | ~ frontsegP(X4,X6)
                          | ~ frontsegP(X3,X6) ) )
                    & ( ~ neq(X2,nil)
                      | neq(X4,nil) ) ) ) ) ) ),
    file('/tmp/tmp-PcDf_/sel_SWC080+1.p_1',co1) ).

fof(35,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ~ ssList(X4)
                    | X2 != X4
                    | X1 != X3
                    | ( ( ~ neq(X2,nil)
                        | ? [X5] :
                            ( ssList(X5)
                            & neq(X5,nil)
                            & segmentP(X2,X5)
                            & segmentP(X1,X5) )
                        | ! [X6] :
                            ( ~ ssList(X6)
                            | ~ neq(X6,nil)
                            | ~ frontsegP(X4,X6)
                            | ~ frontsegP(X3,X6) ) )
                      & ( ~ neq(X2,nil)
                        | neq(X4,nil) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[34]) ).

fof(36,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ~ ssList(X4)
                    | X2 != X4
                    | X1 != X3
                    | ( ( ~ neq(X2,nil)
                        | ? [X5] :
                            ( ssList(X5)
                            & neq(X5,nil)
                            & segmentP(X2,X5)
                            & segmentP(X1,X5) )
                        | ! [X6] :
                            ( ~ ssList(X6)
                            | ~ neq(X6,nil)
                            | ~ frontsegP(X4,X6)
                            | ~ frontsegP(X3,X6) ) )
                      & ( ~ neq(X2,nil)
                        | neq(X4,nil) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[35,theory(equality)]) ).

fof(64,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | app(nil,X1) = X1 ),
    inference(fof_nnf,[status(thm)],[7]) ).

fof(65,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | app(nil,X2) = X2 ),
    inference(variable_rename,[status(thm)],[64]) ).

cnf(66,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[65]) ).

fof(112,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ! [X2] :
          ( ~ ssList(X2)
          | ( ( ~ segmentP(X1,X2)
              | ? [X3] :
                  ( ssList(X3)
                  & ? [X4] :
                      ( ssList(X4)
                      & app(app(X3,X2),X4) = X1 ) ) )
            & ( ! [X3] :
                  ( ~ ssList(X3)
                  | ! [X4] :
                      ( ~ ssList(X4)
                      | app(app(X3,X2),X4) != X1 ) )
              | segmentP(X1,X2) ) ) ) ),
    inference(fof_nnf,[status(thm)],[18]) ).

fof(113,plain,
    ! [X5] :
      ( ~ ssList(X5)
      | ! [X6] :
          ( ~ ssList(X6)
          | ( ( ~ segmentP(X5,X6)
              | ? [X7] :
                  ( ssList(X7)
                  & ? [X8] :
                      ( ssList(X8)
                      & app(app(X7,X6),X8) = X5 ) ) )
            & ( ! [X9] :
                  ( ~ ssList(X9)
                  | ! [X10] :
                      ( ~ ssList(X10)
                      | app(app(X9,X6),X10) != X5 ) )
              | segmentP(X5,X6) ) ) ) ),
    inference(variable_rename,[status(thm)],[112]) ).

fof(114,plain,
    ! [X5] :
      ( ~ ssList(X5)
      | ! [X6] :
          ( ~ ssList(X6)
          | ( ( ~ segmentP(X5,X6)
              | ( ssList(esk5_2(X5,X6))
                & ssList(esk6_2(X5,X6))
                & app(app(esk5_2(X5,X6),X6),esk6_2(X5,X6)) = X5 ) )
            & ( ! [X9] :
                  ( ~ ssList(X9)
                  | ! [X10] :
                      ( ~ ssList(X10)
                      | app(app(X9,X6),X10) != X5 ) )
              | segmentP(X5,X6) ) ) ) ),
    inference(skolemize,[status(esa)],[113]) ).

fof(115,plain,
    ! [X5,X6,X9,X10] :
      ( ( ( ~ ssList(X10)
          | app(app(X9,X6),X10) != X5
          | ~ ssList(X9)
          | segmentP(X5,X6) )
        & ( ~ segmentP(X5,X6)
          | ( ssList(esk5_2(X5,X6))
            & ssList(esk6_2(X5,X6))
            & app(app(esk5_2(X5,X6),X6),esk6_2(X5,X6)) = X5 ) ) )
      | ~ ssList(X6)
      | ~ ssList(X5) ),
    inference(shift_quantors,[status(thm)],[114]) ).

fof(116,plain,
    ! [X5,X6,X9,X10] :
      ( ( ~ ssList(X10)
        | app(app(X9,X6),X10) != X5
        | ~ ssList(X9)
        | segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) )
      & ( ssList(esk5_2(X5,X6))
        | ~ segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) )
      & ( ssList(esk6_2(X5,X6))
        | ~ segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) )
      & ( app(app(esk5_2(X5,X6),X6),esk6_2(X5,X6)) = X5
        | ~ segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) ) ),
    inference(distribute,[status(thm)],[115]) ).

cnf(120,plain,
    ( segmentP(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X3,X2),X4) != X1
    | ~ ssList(X4) ),
    inference(split_conjunct,[status(thm)],[116]) ).

fof(121,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ! [X2] :
          ( ~ ssList(X2)
          | ( ( ~ frontsegP(X1,X2)
              | ? [X3] :
                  ( ssList(X3)
                  & app(X2,X3) = X1 ) )
            & ( ! [X3] :
                  ( ~ ssList(X3)
                  | app(X2,X3) != X1 )
              | frontsegP(X1,X2) ) ) ) ),
    inference(fof_nnf,[status(thm)],[19]) ).

fof(122,plain,
    ! [X4] :
      ( ~ ssList(X4)
      | ! [X5] :
          ( ~ ssList(X5)
          | ( ( ~ frontsegP(X4,X5)
              | ? [X6] :
                  ( ssList(X6)
                  & app(X5,X6) = X4 ) )
            & ( ! [X7] :
                  ( ~ ssList(X7)
                  | app(X5,X7) != X4 )
              | frontsegP(X4,X5) ) ) ) ),
    inference(variable_rename,[status(thm)],[121]) ).

fof(123,plain,
    ! [X4] :
      ( ~ ssList(X4)
      | ! [X5] :
          ( ~ ssList(X5)
          | ( ( ~ frontsegP(X4,X5)
              | ( ssList(esk7_2(X4,X5))
                & app(X5,esk7_2(X4,X5)) = X4 ) )
            & ( ! [X7] :
                  ( ~ ssList(X7)
                  | app(X5,X7) != X4 )
              | frontsegP(X4,X5) ) ) ) ),
    inference(skolemize,[status(esa)],[122]) ).

fof(124,plain,
    ! [X4,X5,X7] :
      ( ( ( ~ ssList(X7)
          | app(X5,X7) != X4
          | frontsegP(X4,X5) )
        & ( ~ frontsegP(X4,X5)
          | ( ssList(esk7_2(X4,X5))
            & app(X5,esk7_2(X4,X5)) = X4 ) ) )
      | ~ ssList(X5)
      | ~ ssList(X4) ),
    inference(shift_quantors,[status(thm)],[123]) ).

fof(125,plain,
    ! [X4,X5,X7] :
      ( ( ~ ssList(X7)
        | app(X5,X7) != X4
        | frontsegP(X4,X5)
        | ~ ssList(X5)
        | ~ ssList(X4) )
      & ( ssList(esk7_2(X4,X5))
        | ~ frontsegP(X4,X5)
        | ~ ssList(X5)
        | ~ ssList(X4) )
      & ( app(X5,esk7_2(X4,X5)) = X4
        | ~ frontsegP(X4,X5)
        | ~ ssList(X5)
        | ~ ssList(X4) ) ),
    inference(distribute,[status(thm)],[124]) ).

cnf(126,plain,
    ( app(X2,esk7_2(X1,X2)) = X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ frontsegP(X1,X2) ),
    inference(split_conjunct,[status(thm)],[125]) ).

cnf(127,plain,
    ( ssList(esk7_2(X1,X2))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ frontsegP(X1,X2) ),
    inference(split_conjunct,[status(thm)],[125]) ).

cnf(162,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[27]) ).

fof(187,negated_conjecture,
    ? [X1] :
      ( ssList(X1)
      & ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( ssList(X3)
              & ? [X4] :
                  ( ssList(X4)
                  & X2 = X4
                  & X1 = X3
                  & ( ( neq(X2,nil)
                      & ! [X5] :
                          ( ~ ssList(X5)
                          | ~ neq(X5,nil)
                          | ~ segmentP(X2,X5)
                          | ~ segmentP(X1,X5) )
                      & ? [X6] :
                          ( ssList(X6)
                          & neq(X6,nil)
                          & frontsegP(X4,X6)
                          & frontsegP(X3,X6) ) )
                    | ( neq(X2,nil)
                      & ~ neq(X4,nil) ) ) ) ) ) ),
    inference(fof_nnf,[status(thm)],[36]) ).

fof(188,negated_conjecture,
    ? [X7] :
      ( ssList(X7)
      & ? [X8] :
          ( ssList(X8)
          & ? [X9] :
              ( ssList(X9)
              & ? [X10] :
                  ( ssList(X10)
                  & X8 = X10
                  & X7 = X9
                  & ( ( neq(X8,nil)
                      & ! [X11] :
                          ( ~ ssList(X11)
                          | ~ neq(X11,nil)
                          | ~ segmentP(X8,X11)
                          | ~ segmentP(X7,X11) )
                      & ? [X12] :
                          ( ssList(X12)
                          & neq(X12,nil)
                          & frontsegP(X10,X12)
                          & frontsegP(X9,X12) ) )
                    | ( neq(X8,nil)
                      & ~ neq(X10,nil) ) ) ) ) ) ),
    inference(variable_rename,[status(thm)],[187]) ).

fof(189,negated_conjecture,
    ( ssList(esk8_0)
    & ssList(esk9_0)
    & ssList(esk10_0)
    & ssList(esk11_0)
    & esk9_0 = esk11_0
    & esk8_0 = esk10_0
    & ( ( neq(esk9_0,nil)
        & ! [X11] :
            ( ~ ssList(X11)
            | ~ neq(X11,nil)
            | ~ segmentP(esk9_0,X11)
            | ~ segmentP(esk8_0,X11) )
        & ssList(esk12_0)
        & neq(esk12_0,nil)
        & frontsegP(esk11_0,esk12_0)
        & frontsegP(esk10_0,esk12_0) )
      | ( neq(esk9_0,nil)
        & ~ neq(esk11_0,nil) ) ) ),
    inference(skolemize,[status(esa)],[188]) ).

fof(190,negated_conjecture,
    ! [X11] :
      ( ( ( ( ~ ssList(X11)
            | ~ neq(X11,nil)
            | ~ segmentP(esk9_0,X11)
            | ~ segmentP(esk8_0,X11) )
          & neq(esk9_0,nil)
          & ssList(esk12_0)
          & neq(esk12_0,nil)
          & frontsegP(esk11_0,esk12_0)
          & frontsegP(esk10_0,esk12_0) )
        | ( neq(esk9_0,nil)
          & ~ neq(esk11_0,nil) ) )
      & ssList(esk11_0)
      & esk9_0 = esk11_0
      & esk8_0 = esk10_0
      & ssList(esk10_0)
      & ssList(esk9_0)
      & ssList(esk8_0) ),
    inference(shift_quantors,[status(thm)],[189]) ).

fof(191,negated_conjecture,
    ! [X11] :
      ( ( neq(esk9_0,nil)
        | ~ ssList(X11)
        | ~ neq(X11,nil)
        | ~ segmentP(esk9_0,X11)
        | ~ segmentP(esk8_0,X11) )
      & ( ~ neq(esk11_0,nil)
        | ~ ssList(X11)
        | ~ neq(X11,nil)
        | ~ segmentP(esk9_0,X11)
        | ~ segmentP(esk8_0,X11) )
      & ( neq(esk9_0,nil)
        | neq(esk9_0,nil) )
      & ( ~ neq(esk11_0,nil)
        | neq(esk9_0,nil) )
      & ( neq(esk9_0,nil)
        | ssList(esk12_0) )
      & ( ~ neq(esk11_0,nil)
        | ssList(esk12_0) )
      & ( neq(esk9_0,nil)
        | neq(esk12_0,nil) )
      & ( ~ neq(esk11_0,nil)
        | neq(esk12_0,nil) )
      & ( neq(esk9_0,nil)
        | frontsegP(esk11_0,esk12_0) )
      & ( ~ neq(esk11_0,nil)
        | frontsegP(esk11_0,esk12_0) )
      & ( neq(esk9_0,nil)
        | frontsegP(esk10_0,esk12_0) )
      & ( ~ neq(esk11_0,nil)
        | frontsegP(esk10_0,esk12_0) )
      & ssList(esk11_0)
      & esk9_0 = esk11_0
      & esk8_0 = esk10_0
      & ssList(esk10_0)
      & ssList(esk9_0)
      & ssList(esk8_0) ),
    inference(distribute,[status(thm)],[190]) ).

cnf(192,negated_conjecture,
    ssList(esk8_0),
    inference(split_conjunct,[status(thm)],[191]) ).

cnf(193,negated_conjecture,
    ssList(esk9_0),
    inference(split_conjunct,[status(thm)],[191]) ).

cnf(195,negated_conjecture,
    esk8_0 = esk10_0,
    inference(split_conjunct,[status(thm)],[191]) ).

cnf(196,negated_conjecture,
    esk9_0 = esk11_0,
    inference(split_conjunct,[status(thm)],[191]) ).

cnf(198,negated_conjecture,
    ( frontsegP(esk10_0,esk12_0)
    | ~ neq(esk11_0,nil) ),
    inference(split_conjunct,[status(thm)],[191]) ).

cnf(200,negated_conjecture,
    ( frontsegP(esk11_0,esk12_0)
    | ~ neq(esk11_0,nil) ),
    inference(split_conjunct,[status(thm)],[191]) ).

cnf(202,negated_conjecture,
    ( neq(esk12_0,nil)
    | ~ neq(esk11_0,nil) ),
    inference(split_conjunct,[status(thm)],[191]) ).

cnf(204,negated_conjecture,
    ( ssList(esk12_0)
    | ~ neq(esk11_0,nil) ),
    inference(split_conjunct,[status(thm)],[191]) ).

cnf(207,negated_conjecture,
    ( neq(esk9_0,nil)
    | neq(esk9_0,nil) ),
    inference(split_conjunct,[status(thm)],[191]) ).

cnf(208,negated_conjecture,
    ( ~ segmentP(esk8_0,X1)
    | ~ segmentP(esk9_0,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1)
    | ~ neq(esk11_0,nil) ),
    inference(split_conjunct,[status(thm)],[191]) ).

cnf(215,negated_conjecture,
    ( ssList(esk12_0)
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[204,196,theory(equality)]),207,theory(equality)]) ).

cnf(216,negated_conjecture,
    ssList(esk12_0),
    inference(cn,[status(thm)],[215,theory(equality)]) ).

cnf(222,negated_conjecture,
    ( frontsegP(esk8_0,esk12_0)
    | ~ neq(esk11_0,nil) ),
    inference(rw,[status(thm)],[198,195,theory(equality)]) ).

cnf(223,negated_conjecture,
    ( frontsegP(esk8_0,esk12_0)
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[222,196,theory(equality)]),207,theory(equality)]) ).

cnf(224,negated_conjecture,
    frontsegP(esk8_0,esk12_0),
    inference(cn,[status(thm)],[223,theory(equality)]) ).

cnf(225,negated_conjecture,
    ( frontsegP(esk9_0,esk12_0)
    | ~ neq(esk11_0,nil) ),
    inference(rw,[status(thm)],[200,196,theory(equality)]) ).

cnf(226,negated_conjecture,
    ( frontsegP(esk9_0,esk12_0)
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[225,196,theory(equality)]),207,theory(equality)]) ).

cnf(227,negated_conjecture,
    frontsegP(esk9_0,esk12_0),
    inference(cn,[status(thm)],[226,theory(equality)]) ).

cnf(231,negated_conjecture,
    ( neq(esk12_0,nil)
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[202,196,theory(equality)]),207,theory(equality)]) ).

cnf(232,negated_conjecture,
    neq(esk12_0,nil),
    inference(cn,[status(thm)],[231,theory(equality)]) ).

cnf(320,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk8_0,X1)
    | ~ segmentP(esk9_0,X1)
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[208,196,theory(equality)]),207,theory(equality)]) ).

cnf(321,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk8_0,X1)
    | ~ segmentP(esk9_0,X1) ),
    inference(cn,[status(thm)],[320,theory(equality)]) ).

cnf(391,plain,
    ( segmentP(X1,X2)
    | app(X2,X3) != X1
    | ~ ssList(X3)
    | ~ ssList(nil)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[120,66,theory(equality)]) ).

cnf(401,plain,
    ( segmentP(X1,X2)
    | app(X2,X3) != X1
    | ~ ssList(X3)
    | $false
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[391,162,theory(equality)]) ).

cnf(402,plain,
    ( segmentP(X1,X2)
    | app(X2,X3) != X1
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[401,theory(equality)]) ).

cnf(2703,plain,
    ( segmentP(X1,X2)
    | X3 != X1
    | ~ ssList(esk7_2(X3,X2))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ frontsegP(X3,X2)
    | ~ ssList(X3) ),
    inference(spm,[status(thm)],[402,126,theory(equality)]) ).

cnf(2721,plain,
    ( segmentP(X1,X2)
    | ~ ssList(esk7_2(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ frontsegP(X1,X2) ),
    inference(er,[status(thm)],[2703,theory(equality)]) ).

cnf(2904,plain,
    ( segmentP(X1,X2)
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[2721,127]) ).

cnf(2908,negated_conjecture,
    ( ~ neq(X1,nil)
    | ~ segmentP(esk9_0,X1)
    | ~ ssList(X1)
    | ~ frontsegP(esk8_0,X1)
    | ~ ssList(esk8_0) ),
    inference(spm,[status(thm)],[321,2904,theory(equality)]) ).

cnf(2916,negated_conjecture,
    ( ~ neq(X1,nil)
    | ~ segmentP(esk9_0,X1)
    | ~ ssList(X1)
    | ~ frontsegP(esk8_0,X1)
    | $false ),
    inference(rw,[status(thm)],[2908,192,theory(equality)]) ).

cnf(2917,negated_conjecture,
    ( ~ neq(X1,nil)
    | ~ segmentP(esk9_0,X1)
    | ~ ssList(X1)
    | ~ frontsegP(esk8_0,X1) ),
    inference(cn,[status(thm)],[2916,theory(equality)]) ).

cnf(3110,negated_conjecture,
    ( ~ neq(X1,nil)
    | ~ frontsegP(esk8_0,X1)
    | ~ ssList(X1)
    | ~ frontsegP(esk9_0,X1)
    | ~ ssList(esk9_0) ),
    inference(spm,[status(thm)],[2917,2904,theory(equality)]) ).

cnf(3120,negated_conjecture,
    ( ~ neq(X1,nil)
    | ~ frontsegP(esk8_0,X1)
    | ~ ssList(X1)
    | ~ frontsegP(esk9_0,X1)
    | $false ),
    inference(rw,[status(thm)],[3110,193,theory(equality)]) ).

cnf(3121,negated_conjecture,
    ( ~ neq(X1,nil)
    | ~ frontsegP(esk8_0,X1)
    | ~ ssList(X1)
    | ~ frontsegP(esk9_0,X1) ),
    inference(cn,[status(thm)],[3120,theory(equality)]) ).

cnf(3292,negated_conjecture,
    ( ~ frontsegP(esk8_0,esk12_0)
    | ~ frontsegP(esk9_0,esk12_0)
    | ~ ssList(esk12_0) ),
    inference(spm,[status(thm)],[3121,232,theory(equality)]) ).

cnf(3297,negated_conjecture,
    ( $false
    | ~ frontsegP(esk9_0,esk12_0)
    | ~ ssList(esk12_0) ),
    inference(rw,[status(thm)],[3292,224,theory(equality)]) ).

cnf(3298,negated_conjecture,
    ( $false
    | $false
    | ~ ssList(esk12_0) ),
    inference(rw,[status(thm)],[3297,227,theory(equality)]) ).

cnf(3299,negated_conjecture,
    ( $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[3298,216,theory(equality)]) ).

cnf(3300,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[3299,theory(equality)]) ).

cnf(3301,negated_conjecture,
    $false,
    3300,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWC/SWC080+1.p
% --creating new selector for [SWC001+0.ax]
% -running prover on /tmp/tmp-PcDf_/sel_SWC080+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWC080+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWC/SWC080+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWC/SWC080+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
% 
%------------------------------------------------------------------------------