TSTP Solution File: SWC071+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWC071+1 : TPTP v5.0.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art11.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory   : 2006MB
% OS       : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Dec 26 10:16:13 EST 2010

% Result   : Theorem 0.27s
% Output   : CNFRefutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   73 (  17 unt;   0 def)
%            Number of atoms       :  438 ( 134 equ)
%            Maximal formula atoms :   48 (   6 avg)
%            Number of connectives :  586 ( 221   ~; 222   |; 120   &)
%                                         (   2 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :  118 (   0 sgn  72   !;  26   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(10,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => nil != cons(X2,X1) ) ),
    file('/tmp/tmp8fjHVl/sel_SWC071+1.p_1',ax21) ).

fof(15,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( segmentP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & ? [X4] :
                    ( ssList(X4)
                    & app(app(X3,X2),X4) = X1 ) ) ) ) ),
    file('/tmp/tmp8fjHVl/sel_SWC071+1.p_1',ax7) ).

fof(26,axiom,
    ssList(nil),
    file('/tmp/tmp8fjHVl/sel_SWC071+1.p_1',ax17) ).

fof(33,axiom,
    ! [X1] :
      ( ssList(X1)
     => segmentP(X1,X1) ),
    file('/tmp/tmp8fjHVl/sel_SWC071+1.p_1',ax55) ).

fof(36,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    file('/tmp/tmp8fjHVl/sel_SWC071+1.p_1',ax15) ).

fof(39,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ? [X5] :
                        ( ssList(X5)
                        & neq(X5,nil)
                        & segmentP(X2,X5)
                        & segmentP(X1,X5) )
                    | ( nil = X2
                      & nil = X1 )
                    | ( ! [X6] :
                          ( ssItem(X6)
                         => ! [X7] :
                              ( ssList(X7)
                             => ! [X8] :
                                  ( ssList(X8)
                                 => ( cons(X6,nil) != X3
                                    | app(app(X7,X3),X8) != X4
                                    | ? [X9] :
                                        ( ssItem(X9)
                                        & memberP(X7,X9)
                                        & lt(X6,X9) )
                                    | ? [X10] :
                                        ( ssItem(X10)
                                        & memberP(X8,X10)
                                        & lt(X10,X6) ) ) ) ) )
                      & ( nil != X4
                        | nil != X3 ) ) ) ) ) ) ),
    file('/tmp/tmp8fjHVl/sel_SWC071+1.p_1',co1) ).

fof(40,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ? [X5] :
                          ( ssList(X5)
                          & neq(X5,nil)
                          & segmentP(X2,X5)
                          & segmentP(X1,X5) )
                      | ( nil = X2
                        & nil = X1 )
                      | ( ! [X6] :
                            ( ssItem(X6)
                           => ! [X7] :
                                ( ssList(X7)
                               => ! [X8] :
                                    ( ssList(X8)
                                   => ( cons(X6,nil) != X3
                                      | app(app(X7,X3),X8) != X4
                                      | ? [X9] :
                                          ( ssItem(X9)
                                          & memberP(X7,X9)
                                          & lt(X6,X9) )
                                      | ? [X10] :
                                          ( ssItem(X10)
                                          & memberP(X8,X10)
                                          & lt(X10,X6) ) ) ) ) )
                        & ( nil != X4
                          | nil != X3 ) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[39]) ).

fof(81,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ! [X2] :
          ( ~ ssItem(X2)
          | nil != cons(X2,X1) ) ),
    inference(fof_nnf,[status(thm)],[10]) ).

fof(82,plain,
    ! [X3] :
      ( ~ ssList(X3)
      | ! [X4] :
          ( ~ ssItem(X4)
          | nil != cons(X4,X3) ) ),
    inference(variable_rename,[status(thm)],[81]) ).

fof(83,plain,
    ! [X3,X4] :
      ( ~ ssItem(X4)
      | nil != cons(X4,X3)
      | ~ ssList(X3) ),
    inference(shift_quantors,[status(thm)],[82]) ).

cnf(84,plain,
    ( ~ ssList(X1)
    | nil != cons(X2,X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[83]) ).

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)],[15]) ).

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(esk7_2(X5,X6))
                & ssList(esk8_2(X5,X6))
                & app(app(esk7_2(X5,X6),X6),esk8_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(esk7_2(X5,X6))
            & ssList(esk8_2(X5,X6))
            & app(app(esk7_2(X5,X6),X6),esk8_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(esk7_2(X5,X6))
        | ~ segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) )
      & ( ssList(esk8_2(X5,X6))
        | ~ segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) )
      & ( app(app(esk7_2(X5,X6),X6),esk8_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]) ).

cnf(166,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[26]) ).

fof(196,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | segmentP(X1,X1) ),
    inference(fof_nnf,[status(thm)],[33]) ).

fof(197,plain,
    ! [X2] :
      ( ~ ssList(X2)
      | segmentP(X2,X2) ),
    inference(variable_rename,[status(thm)],[196]) ).

cnf(198,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[197]) ).

fof(206,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ! [X2] :
          ( ~ ssList(X2)
          | ( ( ~ neq(X1,X2)
              | X1 != X2 )
            & ( X1 = X2
              | neq(X1,X2) ) ) ) ),
    inference(fof_nnf,[status(thm)],[36]) ).

fof(207,plain,
    ! [X3] :
      ( ~ ssList(X3)
      | ! [X4] :
          ( ~ ssList(X4)
          | ( ( ~ neq(X3,X4)
              | X3 != X4 )
            & ( X3 = X4
              | neq(X3,X4) ) ) ) ),
    inference(variable_rename,[status(thm)],[206]) ).

fof(208,plain,
    ! [X3,X4] :
      ( ~ ssList(X4)
      | ( ( ~ neq(X3,X4)
          | X3 != X4 )
        & ( X3 = X4
          | neq(X3,X4) ) )
      | ~ ssList(X3) ),
    inference(shift_quantors,[status(thm)],[207]) ).

fof(209,plain,
    ! [X3,X4] :
      ( ( ~ neq(X3,X4)
        | X3 != X4
        | ~ ssList(X4)
        | ~ ssList(X3) )
      & ( X3 = X4
        | neq(X3,X4)
        | ~ ssList(X4)
        | ~ ssList(X3) ) ),
    inference(distribute,[status(thm)],[208]) ).

cnf(210,plain,
    ( neq(X1,X2)
    | X1 = X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[209]) ).

fof(219,negated_conjecture,
    ? [X1] :
      ( ssList(X1)
      & ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( ssList(X3)
              & ? [X4] :
                  ( ssList(X4)
                  & X2 = X4
                  & X1 = X3
                  & ! [X5] :
                      ( ~ ssList(X5)
                      | ~ neq(X5,nil)
                      | ~ segmentP(X2,X5)
                      | ~ segmentP(X1,X5) )
                  & ( nil != X2
                    | nil != X1 )
                  & ( ? [X6] :
                        ( ssItem(X6)
                        & ? [X7] :
                            ( ssList(X7)
                            & ? [X8] :
                                ( ssList(X8)
                                & cons(X6,nil) = X3
                                & app(app(X7,X3),X8) = X4
                                & ! [X9] :
                                    ( ~ ssItem(X9)
                                    | ~ memberP(X7,X9)
                                    | ~ lt(X6,X9) )
                                & ! [X10] :
                                    ( ~ ssItem(X10)
                                    | ~ memberP(X8,X10)
                                    | ~ lt(X10,X6) ) ) ) )
                    | ( nil = X4
                      & nil = X3 ) ) ) ) ) ),
    inference(fof_nnf,[status(thm)],[40]) ).

fof(220,negated_conjecture,
    ? [X11] :
      ( ssList(X11)
      & ? [X12] :
          ( ssList(X12)
          & ? [X13] :
              ( ssList(X13)
              & ? [X14] :
                  ( ssList(X14)
                  & X12 = X14
                  & X11 = X13
                  & ! [X15] :
                      ( ~ ssList(X15)
                      | ~ neq(X15,nil)
                      | ~ segmentP(X12,X15)
                      | ~ segmentP(X11,X15) )
                  & ( nil != X12
                    | nil != X11 )
                  & ( ? [X16] :
                        ( ssItem(X16)
                        & ? [X17] :
                            ( ssList(X17)
                            & ? [X18] :
                                ( ssList(X18)
                                & cons(X16,nil) = X13
                                & app(app(X17,X13),X18) = X14
                                & ! [X19] :
                                    ( ~ ssItem(X19)
                                    | ~ memberP(X17,X19)
                                    | ~ lt(X16,X19) )
                                & ! [X20] :
                                    ( ~ ssItem(X20)
                                    | ~ memberP(X18,X20)
                                    | ~ lt(X20,X16) ) ) ) )
                    | ( nil = X14
                      & nil = X13 ) ) ) ) ) ),
    inference(variable_rename,[status(thm)],[219]) ).

fof(221,negated_conjecture,
    ( ssList(esk9_0)
    & ssList(esk10_0)
    & ssList(esk11_0)
    & ssList(esk12_0)
    & esk10_0 = esk12_0
    & esk9_0 = esk11_0
    & ! [X15] :
        ( ~ ssList(X15)
        | ~ neq(X15,nil)
        | ~ segmentP(esk10_0,X15)
        | ~ segmentP(esk9_0,X15) )
    & ( nil != esk10_0
      | nil != esk9_0 )
    & ( ( ssItem(esk13_0)
        & ssList(esk14_0)
        & ssList(esk15_0)
        & cons(esk13_0,nil) = esk11_0
        & app(app(esk14_0,esk11_0),esk15_0) = esk12_0
        & ! [X19] :
            ( ~ ssItem(X19)
            | ~ memberP(esk14_0,X19)
            | ~ lt(esk13_0,X19) )
        & ! [X20] :
            ( ~ ssItem(X20)
            | ~ memberP(esk15_0,X20)
            | ~ lt(X20,esk13_0) ) )
      | ( nil = esk12_0
        & nil = esk11_0 ) ) ),
    inference(skolemize,[status(esa)],[220]) ).

fof(222,negated_conjecture,
    ! [X15,X19,X20] :
      ( ( ( ( ~ ssItem(X20)
            | ~ memberP(esk15_0,X20)
            | ~ lt(X20,esk13_0) )
          & ( ~ ssItem(X19)
            | ~ memberP(esk14_0,X19)
            | ~ lt(esk13_0,X19) )
          & cons(esk13_0,nil) = esk11_0
          & app(app(esk14_0,esk11_0),esk15_0) = esk12_0
          & ssList(esk15_0)
          & ssList(esk14_0)
          & ssItem(esk13_0) )
        | ( nil = esk12_0
          & nil = esk11_0 ) )
      & ( ~ ssList(X15)
        | ~ neq(X15,nil)
        | ~ segmentP(esk10_0,X15)
        | ~ segmentP(esk9_0,X15) )
      & esk10_0 = esk12_0
      & esk9_0 = esk11_0
      & ( nil != esk10_0
        | nil != esk9_0 )
      & ssList(esk12_0)
      & ssList(esk11_0)
      & ssList(esk10_0)
      & ssList(esk9_0) ),
    inference(shift_quantors,[status(thm)],[221]) ).

fof(223,negated_conjecture,
    ! [X15,X19,X20] :
      ( ( nil = esk12_0
        | ~ ssItem(X20)
        | ~ memberP(esk15_0,X20)
        | ~ lt(X20,esk13_0) )
      & ( nil = esk11_0
        | ~ ssItem(X20)
        | ~ memberP(esk15_0,X20)
        | ~ lt(X20,esk13_0) )
      & ( nil = esk12_0
        | ~ ssItem(X19)
        | ~ memberP(esk14_0,X19)
        | ~ lt(esk13_0,X19) )
      & ( nil = esk11_0
        | ~ ssItem(X19)
        | ~ memberP(esk14_0,X19)
        | ~ lt(esk13_0,X19) )
      & ( nil = esk12_0
        | cons(esk13_0,nil) = esk11_0 )
      & ( nil = esk11_0
        | cons(esk13_0,nil) = esk11_0 )
      & ( nil = esk12_0
        | app(app(esk14_0,esk11_0),esk15_0) = esk12_0 )
      & ( nil = esk11_0
        | app(app(esk14_0,esk11_0),esk15_0) = esk12_0 )
      & ( nil = esk12_0
        | ssList(esk15_0) )
      & ( nil = esk11_0
        | ssList(esk15_0) )
      & ( nil = esk12_0
        | ssList(esk14_0) )
      & ( nil = esk11_0
        | ssList(esk14_0) )
      & ( nil = esk12_0
        | ssItem(esk13_0) )
      & ( nil = esk11_0
        | ssItem(esk13_0) )
      & ( ~ ssList(X15)
        | ~ neq(X15,nil)
        | ~ segmentP(esk10_0,X15)
        | ~ segmentP(esk9_0,X15) )
      & esk10_0 = esk12_0
      & esk9_0 = esk11_0
      & ( nil != esk10_0
        | nil != esk9_0 )
      & ssList(esk12_0)
      & ssList(esk11_0)
      & ssList(esk10_0)
      & ssList(esk9_0) ),
    inference(distribute,[status(thm)],[222]) ).

cnf(224,negated_conjecture,
    ssList(esk9_0),
    inference(split_conjunct,[status(thm)],[223]) ).

cnf(225,negated_conjecture,
    ssList(esk10_0),
    inference(split_conjunct,[status(thm)],[223]) ).

cnf(228,negated_conjecture,
    ( nil != esk9_0
    | nil != esk10_0 ),
    inference(split_conjunct,[status(thm)],[223]) ).

cnf(229,negated_conjecture,
    esk9_0 = esk11_0,
    inference(split_conjunct,[status(thm)],[223]) ).

cnf(230,negated_conjecture,
    esk10_0 = esk12_0,
    inference(split_conjunct,[status(thm)],[223]) ).

cnf(231,negated_conjecture,
    ( ~ segmentP(esk9_0,X1)
    | ~ segmentP(esk10_0,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[223]) ).

cnf(233,negated_conjecture,
    ( ssItem(esk13_0)
    | nil = esk12_0 ),
    inference(split_conjunct,[status(thm)],[223]) ).

cnf(234,negated_conjecture,
    ( ssList(esk14_0)
    | nil = esk11_0 ),
    inference(split_conjunct,[status(thm)],[223]) ).

cnf(236,negated_conjecture,
    ( ssList(esk15_0)
    | nil = esk11_0 ),
    inference(split_conjunct,[status(thm)],[223]) ).

cnf(238,negated_conjecture,
    ( app(app(esk14_0,esk11_0),esk15_0) = esk12_0
    | nil = esk11_0 ),
    inference(split_conjunct,[status(thm)],[223]) ).

cnf(241,negated_conjecture,
    ( cons(esk13_0,nil) = esk11_0
    | nil = esk12_0 ),
    inference(split_conjunct,[status(thm)],[223]) ).

cnf(246,negated_conjecture,
    ssList(esk11_0),
    inference(rw,[status(thm)],[224,229,theory(equality)]) ).

cnf(247,negated_conjecture,
    ssList(esk12_0),
    inference(rw,[status(thm)],[225,230,theory(equality)]) ).

cnf(248,negated_conjecture,
    ( esk11_0 != nil
    | esk10_0 != nil ),
    inference(rw,[status(thm)],[228,229,theory(equality)]) ).

cnf(249,negated_conjecture,
    ( esk11_0 != nil
    | esk12_0 != nil ),
    inference(rw,[status(thm)],[248,230,theory(equality)]) ).

cnf(266,negated_conjecture,
    ( esk12_0 = nil
    | esk11_0 != nil
    | ~ ssItem(esk13_0)
    | ~ ssList(nil) ),
    inference(spm,[status(thm)],[84,241,theory(equality)]) ).

cnf(269,negated_conjecture,
    ( esk12_0 = nil
    | esk11_0 != nil
    | ~ ssItem(esk13_0)
    | $false ),
    inference(rw,[status(thm)],[266,166,theory(equality)]) ).

cnf(270,negated_conjecture,
    ( esk12_0 = nil
    | esk11_0 != nil
    | ~ ssItem(esk13_0) ),
    inference(cn,[status(thm)],[269,theory(equality)]) ).

cnf(292,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk11_0,X1)
    | ~ segmentP(esk10_0,X1) ),
    inference(rw,[status(thm)],[231,229,theory(equality)]) ).

cnf(293,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk11_0,X1)
    | ~ segmentP(esk12_0,X1) ),
    inference(rw,[status(thm)],[292,230,theory(equality)]) ).

cnf(294,negated_conjecture,
    ( X1 = nil
    | ~ segmentP(esk11_0,X1)
    | ~ segmentP(esk12_0,X1)
    | ~ ssList(X1)
    | ~ ssList(nil) ),
    inference(spm,[status(thm)],[293,210,theory(equality)]) ).

cnf(296,negated_conjecture,
    ( X1 = nil
    | ~ segmentP(esk11_0,X1)
    | ~ segmentP(esk12_0,X1)
    | ~ ssList(X1)
    | $false ),
    inference(rw,[status(thm)],[294,166,theory(equality)]) ).

cnf(297,negated_conjecture,
    ( X1 = nil
    | ~ segmentP(esk11_0,X1)
    | ~ segmentP(esk12_0,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[296,theory(equality)]) ).

cnf(609,negated_conjecture,
    ( esk12_0 = nil
    | esk11_0 != nil ),
    inference(csr,[status(thm)],[270,233]) ).

cnf(610,negated_conjecture,
    esk11_0 != nil,
    inference(csr,[status(thm)],[609,249]) ).

cnf(611,negated_conjecture,
    ssList(esk14_0),
    inference(sr,[status(thm)],[234,610,theory(equality)]) ).

cnf(612,negated_conjecture,
    ssList(esk15_0),
    inference(sr,[status(thm)],[236,610,theory(equality)]) ).

cnf(615,negated_conjecture,
    app(app(esk14_0,esk11_0),esk15_0) = esk12_0,
    inference(sr,[status(thm)],[238,610,theory(equality)]) ).

cnf(683,negated_conjecture,
    ( segmentP(X1,esk11_0)
    | esk12_0 != X1
    | ~ ssList(esk15_0)
    | ~ ssList(esk14_0)
    | ~ ssList(esk11_0)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[120,615,theory(equality)]) ).

cnf(718,negated_conjecture,
    ( segmentP(X1,esk11_0)
    | esk12_0 != X1
    | $false
    | ~ ssList(esk14_0)
    | ~ ssList(esk11_0)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[683,612,theory(equality)]) ).

cnf(719,negated_conjecture,
    ( segmentP(X1,esk11_0)
    | esk12_0 != X1
    | $false
    | $false
    | ~ ssList(esk11_0)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[718,611,theory(equality)]) ).

cnf(720,negated_conjecture,
    ( segmentP(X1,esk11_0)
    | esk12_0 != X1
    | $false
    | $false
    | $false
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[719,246,theory(equality)]) ).

cnf(721,negated_conjecture,
    ( segmentP(X1,esk11_0)
    | esk12_0 != X1
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[720,theory(equality)]) ).

cnf(742,negated_conjecture,
    ( esk11_0 = nil
    | ~ segmentP(esk11_0,esk11_0)
    | ~ ssList(esk11_0)
    | ~ ssList(esk12_0) ),
    inference(spm,[status(thm)],[297,721,theory(equality)]) ).

cnf(751,negated_conjecture,
    ( esk11_0 = nil
    | ~ segmentP(esk11_0,esk11_0)
    | $false
    | ~ ssList(esk12_0) ),
    inference(rw,[status(thm)],[742,246,theory(equality)]) ).

cnf(752,negated_conjecture,
    ( esk11_0 = nil
    | ~ segmentP(esk11_0,esk11_0)
    | $false
    | $false ),
    inference(rw,[status(thm)],[751,247,theory(equality)]) ).

cnf(753,negated_conjecture,
    ( esk11_0 = nil
    | ~ segmentP(esk11_0,esk11_0) ),
    inference(cn,[status(thm)],[752,theory(equality)]) ).

cnf(754,negated_conjecture,
    ~ segmentP(esk11_0,esk11_0),
    inference(sr,[status(thm)],[753,610,theory(equality)]) ).

cnf(820,negated_conjecture,
    ~ ssList(esk11_0),
    inference(spm,[status(thm)],[754,198,theory(equality)]) ).

cnf(822,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[820,246,theory(equality)]) ).

cnf(823,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[822,theory(equality)]) ).

cnf(824,negated_conjecture,
    $false,
    823,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
%   from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWC/SWC071+1.p
% --creating new selector for [SWC001+0.ax]
% -running prover on /tmp/tmp8fjHVl/sel_SWC071+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWC071+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWC/SWC071+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWC/SWC071+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
% 
%------------------------------------------------------------------------------