TSTP Solution File: SWC264+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWC264+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 11:07:57 EST 2010

% Result   : Theorem 0.54s
% Output   : CNFRefutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   53 (   8 unt;   0 def)
%            Number of atoms       :  415 (  47 equ)
%            Maximal formula atoms :   30 (   7 avg)
%            Number of connectives :  577 ( 215   ~; 234   |; 100   &)
%                                         (   3 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   9 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   4 con; 0-2 aty)
%            Number of variables   :  149 (   0 sgn  94   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(31,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( totalorderedP(X1)
      <=> ! [X2] :
            ( ssItem(X2)
           => ! [X3] :
                ( ssItem(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ! [X5] :
                        ( ssList(X5)
                       => ! [X6] :
                            ( ssList(X6)
                           => ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
                             => leq(X2,X3) ) ) ) ) ) ) ) ),
    file('/tmp/tmp0CNr3U/sel_SWC264+1.p_1',ax11) ).

fof(32,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( strictorderedP(X1)
      <=> ! [X2] :
            ( ssItem(X2)
           => ! [X3] :
                ( ssItem(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ! [X5] :
                        ( ssList(X5)
                       => ! [X6] :
                            ( ssList(X6)
                           => ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
                             => lt(X2,X3) ) ) ) ) ) ) ) ),
    file('/tmp/tmp0CNr3U/sel_SWC264+1.p_1',ax12) ).

fof(33,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( lt(X1,X2)
          <=> ( X1 != X2
              & leq(X1,X2) ) ) ) ),
    file('/tmp/tmp0CNr3U/sel_SWC264+1.p_1',ax93) ).

fof(38,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ~ ssList(X4)
                  | X2 != X4
                  | X1 != X3
                  | ~ strictorderedP(X3)
                  | totalorderedP(X1) ) ) ) ),
    file('/tmp/tmp0CNr3U/sel_SWC264+1.p_1',co1) ).

fof(39,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ~ ssList(X4)
                    | X2 != X4
                    | X1 != X3
                    | ~ strictorderedP(X3)
                    | totalorderedP(X1) ) ) ) ),
    inference(assume_negation,[status(cth)],[38]) ).

fof(42,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ~ ssList(X4)
                    | X2 != X4
                    | X1 != X3
                    | ~ strictorderedP(X3)
                    | totalorderedP(X1) ) ) ) ),
    inference(fof_simplification,[status(thm)],[39,theory(equality)]) ).

fof(167,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ( ( ~ totalorderedP(X1)
          | ! [X2] :
              ( ~ ssItem(X2)
              | ! [X3] :
                  ( ~ ssItem(X3)
                  | ! [X4] :
                      ( ~ ssList(X4)
                      | ! [X5] :
                          ( ~ ssList(X5)
                          | ! [X6] :
                              ( ~ ssList(X6)
                              | app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
                              | leq(X2,X3) ) ) ) ) ) )
        & ( ? [X2] :
              ( ssItem(X2)
              & ? [X3] :
                  ( ssItem(X3)
                  & ? [X4] :
                      ( ssList(X4)
                      & ? [X5] :
                          ( ssList(X5)
                          & ? [X6] :
                              ( ssList(X6)
                              & app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
                              & ~ leq(X2,X3) ) ) ) ) )
          | totalorderedP(X1) ) ) ),
    inference(fof_nnf,[status(thm)],[31]) ).

fof(168,plain,
    ! [X7] :
      ( ~ ssList(X7)
      | ( ( ~ totalorderedP(X7)
          | ! [X8] :
              ( ~ ssItem(X8)
              | ! [X9] :
                  ( ~ ssItem(X9)
                  | ! [X10] :
                      ( ~ ssList(X10)
                      | ! [X11] :
                          ( ~ ssList(X11)
                          | ! [X12] :
                              ( ~ ssList(X12)
                              | app(app(X10,cons(X8,X11)),cons(X9,X12)) != X7
                              | leq(X8,X9) ) ) ) ) ) )
        & ( ? [X13] :
              ( ssItem(X13)
              & ? [X14] :
                  ( ssItem(X14)
                  & ? [X15] :
                      ( ssList(X15)
                      & ? [X16] :
                          ( ssList(X16)
                          & ? [X17] :
                              ( ssList(X17)
                              & app(app(X15,cons(X13,X16)),cons(X14,X17)) = X7
                              & ~ leq(X13,X14) ) ) ) ) )
          | totalorderedP(X7) ) ) ),
    inference(variable_rename,[status(thm)],[167]) ).

fof(169,plain,
    ! [X7] :
      ( ~ ssList(X7)
      | ( ( ~ totalorderedP(X7)
          | ! [X8] :
              ( ~ ssItem(X8)
              | ! [X9] :
                  ( ~ ssItem(X9)
                  | ! [X10] :
                      ( ~ ssList(X10)
                      | ! [X11] :
                          ( ~ ssList(X11)
                          | ! [X12] :
                              ( ~ ssList(X12)
                              | app(app(X10,cons(X8,X11)),cons(X9,X12)) != X7
                              | leq(X8,X9) ) ) ) ) ) )
        & ( ( ssItem(esk6_1(X7))
            & ssItem(esk7_1(X7))
            & ssList(esk8_1(X7))
            & ssList(esk9_1(X7))
            & ssList(esk10_1(X7))
            & app(app(esk8_1(X7),cons(esk6_1(X7),esk9_1(X7))),cons(esk7_1(X7),esk10_1(X7))) = X7
            & ~ leq(esk6_1(X7),esk7_1(X7)) )
          | totalorderedP(X7) ) ) ),
    inference(skolemize,[status(esa)],[168]) ).

fof(170,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ( ( ~ ssList(X12)
          | app(app(X10,cons(X8,X11)),cons(X9,X12)) != X7
          | leq(X8,X9)
          | ~ ssList(X11)
          | ~ ssList(X10)
          | ~ ssItem(X9)
          | ~ ssItem(X8)
          | ~ totalorderedP(X7) )
        & ( ( ssItem(esk6_1(X7))
            & ssItem(esk7_1(X7))
            & ssList(esk8_1(X7))
            & ssList(esk9_1(X7))
            & ssList(esk10_1(X7))
            & app(app(esk8_1(X7),cons(esk6_1(X7),esk9_1(X7))),cons(esk7_1(X7),esk10_1(X7))) = X7
            & ~ leq(esk6_1(X7),esk7_1(X7)) )
          | totalorderedP(X7) ) )
      | ~ ssList(X7) ),
    inference(shift_quantors,[status(thm)],[169]) ).

fof(171,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ( ~ ssList(X12)
        | app(app(X10,cons(X8,X11)),cons(X9,X12)) != X7
        | leq(X8,X9)
        | ~ ssList(X11)
        | ~ ssList(X10)
        | ~ ssItem(X9)
        | ~ ssItem(X8)
        | ~ totalorderedP(X7)
        | ~ ssList(X7) )
      & ( ssItem(esk6_1(X7))
        | totalorderedP(X7)
        | ~ ssList(X7) )
      & ( ssItem(esk7_1(X7))
        | totalorderedP(X7)
        | ~ ssList(X7) )
      & ( ssList(esk8_1(X7))
        | totalorderedP(X7)
        | ~ ssList(X7) )
      & ( ssList(esk9_1(X7))
        | totalorderedP(X7)
        | ~ ssList(X7) )
      & ( ssList(esk10_1(X7))
        | totalorderedP(X7)
        | ~ ssList(X7) )
      & ( app(app(esk8_1(X7),cons(esk6_1(X7),esk9_1(X7))),cons(esk7_1(X7),esk10_1(X7))) = X7
        | totalorderedP(X7)
        | ~ ssList(X7) )
      & ( ~ leq(esk6_1(X7),esk7_1(X7))
        | totalorderedP(X7)
        | ~ ssList(X7) ) ),
    inference(distribute,[status(thm)],[170]) ).

cnf(172,plain,
    ( totalorderedP(X1)
    | ~ ssList(X1)
    | ~ leq(esk6_1(X1),esk7_1(X1)) ),
    inference(split_conjunct,[status(thm)],[171]) ).

cnf(173,plain,
    ( totalorderedP(X1)
    | app(app(esk8_1(X1),cons(esk6_1(X1),esk9_1(X1))),cons(esk7_1(X1),esk10_1(X1))) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[171]) ).

cnf(174,plain,
    ( totalorderedP(X1)
    | ssList(esk10_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[171]) ).

cnf(175,plain,
    ( totalorderedP(X1)
    | ssList(esk9_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[171]) ).

cnf(176,plain,
    ( totalorderedP(X1)
    | ssList(esk8_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[171]) ).

cnf(177,plain,
    ( totalorderedP(X1)
    | ssItem(esk7_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[171]) ).

cnf(178,plain,
    ( totalorderedP(X1)
    | ssItem(esk6_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[171]) ).

fof(180,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ( ( ~ strictorderedP(X1)
          | ! [X2] :
              ( ~ ssItem(X2)
              | ! [X3] :
                  ( ~ ssItem(X3)
                  | ! [X4] :
                      ( ~ ssList(X4)
                      | ! [X5] :
                          ( ~ ssList(X5)
                          | ! [X6] :
                              ( ~ ssList(X6)
                              | app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
                              | lt(X2,X3) ) ) ) ) ) )
        & ( ? [X2] :
              ( ssItem(X2)
              & ? [X3] :
                  ( ssItem(X3)
                  & ? [X4] :
                      ( ssList(X4)
                      & ? [X5] :
                          ( ssList(X5)
                          & ? [X6] :
                              ( ssList(X6)
                              & app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
                              & ~ lt(X2,X3) ) ) ) ) )
          | strictorderedP(X1) ) ) ),
    inference(fof_nnf,[status(thm)],[32]) ).

fof(181,plain,
    ! [X7] :
      ( ~ ssList(X7)
      | ( ( ~ strictorderedP(X7)
          | ! [X8] :
              ( ~ ssItem(X8)
              | ! [X9] :
                  ( ~ ssItem(X9)
                  | ! [X10] :
                      ( ~ ssList(X10)
                      | ! [X11] :
                          ( ~ ssList(X11)
                          | ! [X12] :
                              ( ~ ssList(X12)
                              | app(app(X10,cons(X8,X11)),cons(X9,X12)) != X7
                              | lt(X8,X9) ) ) ) ) ) )
        & ( ? [X13] :
              ( ssItem(X13)
              & ? [X14] :
                  ( ssItem(X14)
                  & ? [X15] :
                      ( ssList(X15)
                      & ? [X16] :
                          ( ssList(X16)
                          & ? [X17] :
                              ( ssList(X17)
                              & app(app(X15,cons(X13,X16)),cons(X14,X17)) = X7
                              & ~ lt(X13,X14) ) ) ) ) )
          | strictorderedP(X7) ) ) ),
    inference(variable_rename,[status(thm)],[180]) ).

fof(182,plain,
    ! [X7] :
      ( ~ ssList(X7)
      | ( ( ~ strictorderedP(X7)
          | ! [X8] :
              ( ~ ssItem(X8)
              | ! [X9] :
                  ( ~ ssItem(X9)
                  | ! [X10] :
                      ( ~ ssList(X10)
                      | ! [X11] :
                          ( ~ ssList(X11)
                          | ! [X12] :
                              ( ~ ssList(X12)
                              | app(app(X10,cons(X8,X11)),cons(X9,X12)) != X7
                              | lt(X8,X9) ) ) ) ) ) )
        & ( ( ssItem(esk11_1(X7))
            & ssItem(esk12_1(X7))
            & ssList(esk13_1(X7))
            & ssList(esk14_1(X7))
            & ssList(esk15_1(X7))
            & app(app(esk13_1(X7),cons(esk11_1(X7),esk14_1(X7))),cons(esk12_1(X7),esk15_1(X7))) = X7
            & ~ lt(esk11_1(X7),esk12_1(X7)) )
          | strictorderedP(X7) ) ) ),
    inference(skolemize,[status(esa)],[181]) ).

fof(183,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ( ( ~ ssList(X12)
          | app(app(X10,cons(X8,X11)),cons(X9,X12)) != X7
          | lt(X8,X9)
          | ~ ssList(X11)
          | ~ ssList(X10)
          | ~ ssItem(X9)
          | ~ ssItem(X8)
          | ~ strictorderedP(X7) )
        & ( ( ssItem(esk11_1(X7))
            & ssItem(esk12_1(X7))
            & ssList(esk13_1(X7))
            & ssList(esk14_1(X7))
            & ssList(esk15_1(X7))
            & app(app(esk13_1(X7),cons(esk11_1(X7),esk14_1(X7))),cons(esk12_1(X7),esk15_1(X7))) = X7
            & ~ lt(esk11_1(X7),esk12_1(X7)) )
          | strictorderedP(X7) ) )
      | ~ ssList(X7) ),
    inference(shift_quantors,[status(thm)],[182]) ).

fof(184,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ( ~ ssList(X12)
        | app(app(X10,cons(X8,X11)),cons(X9,X12)) != X7
        | lt(X8,X9)
        | ~ ssList(X11)
        | ~ ssList(X10)
        | ~ ssItem(X9)
        | ~ ssItem(X8)
        | ~ strictorderedP(X7)
        | ~ ssList(X7) )
      & ( ssItem(esk11_1(X7))
        | strictorderedP(X7)
        | ~ ssList(X7) )
      & ( ssItem(esk12_1(X7))
        | strictorderedP(X7)
        | ~ ssList(X7) )
      & ( ssList(esk13_1(X7))
        | strictorderedP(X7)
        | ~ ssList(X7) )
      & ( ssList(esk14_1(X7))
        | strictorderedP(X7)
        | ~ ssList(X7) )
      & ( ssList(esk15_1(X7))
        | strictorderedP(X7)
        | ~ ssList(X7) )
      & ( app(app(esk13_1(X7),cons(esk11_1(X7),esk14_1(X7))),cons(esk12_1(X7),esk15_1(X7))) = X7
        | strictorderedP(X7)
        | ~ ssList(X7) )
      & ( ~ lt(esk11_1(X7),esk12_1(X7))
        | strictorderedP(X7)
        | ~ ssList(X7) ) ),
    inference(distribute,[status(thm)],[183]) ).

cnf(192,plain,
    ( lt(X2,X3)
    | ~ ssList(X1)
    | ~ strictorderedP(X1)
    | ~ ssItem(X2)
    | ~ ssItem(X3)
    | ~ ssList(X4)
    | ~ ssList(X5)
    | app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
    | ~ ssList(X6) ),
    inference(split_conjunct,[status(thm)],[184]) ).

fof(193,plain,
    ! [X1] :
      ( ~ ssItem(X1)
      | ! [X2] :
          ( ~ ssItem(X2)
          | ( ( ~ lt(X1,X2)
              | ( X1 != X2
                & leq(X1,X2) ) )
            & ( X1 = X2
              | ~ leq(X1,X2)
              | lt(X1,X2) ) ) ) ),
    inference(fof_nnf,[status(thm)],[33]) ).

fof(194,plain,
    ! [X3] :
      ( ~ ssItem(X3)
      | ! [X4] :
          ( ~ ssItem(X4)
          | ( ( ~ lt(X3,X4)
              | ( X3 != X4
                & leq(X3,X4) ) )
            & ( X3 = X4
              | ~ leq(X3,X4)
              | lt(X3,X4) ) ) ) ),
    inference(variable_rename,[status(thm)],[193]) ).

fof(195,plain,
    ! [X3,X4] :
      ( ~ ssItem(X4)
      | ( ( ~ lt(X3,X4)
          | ( X3 != X4
            & leq(X3,X4) ) )
        & ( X3 = X4
          | ~ leq(X3,X4)
          | lt(X3,X4) ) )
      | ~ ssItem(X3) ),
    inference(shift_quantors,[status(thm)],[194]) ).

fof(196,plain,
    ! [X3,X4] :
      ( ( X3 != X4
        | ~ lt(X3,X4)
        | ~ ssItem(X4)
        | ~ ssItem(X3) )
      & ( leq(X3,X4)
        | ~ lt(X3,X4)
        | ~ ssItem(X4)
        | ~ ssItem(X3) )
      & ( X3 = X4
        | ~ leq(X3,X4)
        | lt(X3,X4)
        | ~ ssItem(X4)
        | ~ ssItem(X3) ) ),
    inference(distribute,[status(thm)],[195]) ).

cnf(198,plain,
    ( leq(X1,X2)
    | ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ lt(X1,X2) ),
    inference(split_conjunct,[status(thm)],[196]) ).

fof(217,negated_conjecture,
    ? [X1] :
      ( ssList(X1)
      & ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( ssList(X3)
              & ? [X4] :
                  ( ssList(X4)
                  & X2 = X4
                  & X1 = X3
                  & strictorderedP(X3)
                  & ~ totalorderedP(X1) ) ) ) ),
    inference(fof_nnf,[status(thm)],[42]) ).

fof(218,negated_conjecture,
    ? [X5] :
      ( ssList(X5)
      & ? [X6] :
          ( ssList(X6)
          & ? [X7] :
              ( ssList(X7)
              & ? [X8] :
                  ( ssList(X8)
                  & X6 = X8
                  & X5 = X7
                  & strictorderedP(X7)
                  & ~ totalorderedP(X5) ) ) ) ),
    inference(variable_rename,[status(thm)],[217]) ).

fof(219,negated_conjecture,
    ( ssList(esk16_0)
    & ssList(esk17_0)
    & ssList(esk18_0)
    & ssList(esk19_0)
    & esk17_0 = esk19_0
    & esk16_0 = esk18_0
    & strictorderedP(esk18_0)
    & ~ totalorderedP(esk16_0) ),
    inference(skolemize,[status(esa)],[218]) ).

cnf(220,negated_conjecture,
    ~ totalorderedP(esk16_0),
    inference(split_conjunct,[status(thm)],[219]) ).

cnf(221,negated_conjecture,
    strictorderedP(esk18_0),
    inference(split_conjunct,[status(thm)],[219]) ).

cnf(222,negated_conjecture,
    esk16_0 = esk18_0,
    inference(split_conjunct,[status(thm)],[219]) ).

cnf(227,negated_conjecture,
    ssList(esk16_0),
    inference(split_conjunct,[status(thm)],[219]) ).

cnf(228,negated_conjecture,
    strictorderedP(esk16_0),
    inference(rw,[status(thm)],[221,222,theory(equality)]) ).

cnf(269,plain,
    ( totalorderedP(X1)
    | ~ ssList(X1)
    | ~ lt(esk6_1(X1),esk7_1(X1))
    | ~ ssItem(esk7_1(X1))
    | ~ ssItem(esk6_1(X1)) ),
    inference(spm,[status(thm)],[172,198,theory(equality)]) ).

cnf(416,plain,
    ( lt(esk6_1(X1),esk7_1(X1))
    | totalorderedP(X1)
    | X1 != X2
    | ~ strictorderedP(X2)
    | ~ ssList(esk10_1(X1))
    | ~ ssList(esk9_1(X1))
    | ~ ssList(esk8_1(X1))
    | ~ ssList(X2)
    | ~ ssItem(esk7_1(X1))
    | ~ ssItem(esk6_1(X1))
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[192,173,theory(equality)]) ).

cnf(421,plain,
    ( lt(esk6_1(X1),esk7_1(X1))
    | totalorderedP(X1)
    | ~ strictorderedP(X1)
    | ~ ssList(esk10_1(X1))
    | ~ ssList(esk9_1(X1))
    | ~ ssList(esk8_1(X1))
    | ~ ssList(X1)
    | ~ ssItem(esk7_1(X1))
    | ~ ssItem(esk6_1(X1)) ),
    inference(er,[status(thm)],[416,theory(equality)]) ).

cnf(787,plain,
    ( totalorderedP(X1)
    | ~ ssList(X1)
    | ~ lt(esk6_1(X1),esk7_1(X1))
    | ~ ssItem(esk7_1(X1)) ),
    inference(csr,[status(thm)],[269,178]) ).

cnf(788,plain,
    ( totalorderedP(X1)
    | ~ ssList(X1)
    | ~ lt(esk6_1(X1),esk7_1(X1)) ),
    inference(csr,[status(thm)],[787,177]) ).

cnf(7129,plain,
    ( lt(esk6_1(X1),esk7_1(X1))
    | totalorderedP(X1)
    | ~ strictorderedP(X1)
    | ~ ssList(esk10_1(X1))
    | ~ ssList(esk9_1(X1))
    | ~ ssList(esk8_1(X1))
    | ~ ssList(X1)
    | ~ ssItem(esk7_1(X1)) ),
    inference(csr,[status(thm)],[421,178]) ).

cnf(7130,plain,
    ( lt(esk6_1(X1),esk7_1(X1))
    | totalorderedP(X1)
    | ~ strictorderedP(X1)
    | ~ ssList(esk10_1(X1))
    | ~ ssList(esk9_1(X1))
    | ~ ssList(esk8_1(X1))
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[7129,177]) ).

cnf(7131,plain,
    ( lt(esk6_1(X1),esk7_1(X1))
    | totalorderedP(X1)
    | ~ strictorderedP(X1)
    | ~ ssList(esk10_1(X1))
    | ~ ssList(esk9_1(X1))
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[7130,176]) ).

cnf(7132,plain,
    ( lt(esk6_1(X1),esk7_1(X1))
    | totalorderedP(X1)
    | ~ strictorderedP(X1)
    | ~ ssList(esk10_1(X1))
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[7131,175]) ).

cnf(7133,plain,
    ( lt(esk6_1(X1),esk7_1(X1))
    | totalorderedP(X1)
    | ~ strictorderedP(X1)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[7132,174]) ).

cnf(7134,plain,
    ( totalorderedP(X1)
    | ~ strictorderedP(X1)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[7133,788]) ).

cnf(7136,negated_conjecture,
    ( totalorderedP(esk16_0)
    | ~ ssList(esk16_0) ),
    inference(spm,[status(thm)],[7134,228,theory(equality)]) ).

cnf(7145,negated_conjecture,
    ( totalorderedP(esk16_0)
    | $false ),
    inference(rw,[status(thm)],[7136,227,theory(equality)]) ).

cnf(7146,negated_conjecture,
    totalorderedP(esk16_0),
    inference(cn,[status(thm)],[7145,theory(equality)]) ).

cnf(7147,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[7146,220,theory(equality)]) ).

cnf(7148,negated_conjecture,
    $false,
    7147,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWC/SWC264+1.p
% --creating new selector for [SWC001+0.ax]
% -running prover on /tmp/tmp0CNr3U/sel_SWC264+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWC264+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWC/SWC264+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWC/SWC264+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
% 
%------------------------------------------------------------------------------