TSTP Solution File: SWC340+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWC340+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 11:37:32 EST 2010

% Result   : Theorem 0.91s
% Output   : CNFRefutation 0.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   58 (  11 unt;   0 def)
%            Number of atoms       :  434 (  48 equ)
%            Maximal formula atoms :   30 (   7 avg)
%            Number of connectives :  597 ( 221   ~; 239   |; 106   &)
%                                         (   3 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   8 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    9 (   7 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(24,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( lt(X1,X2)
          <=> ( X1 != X2
              & leq(X1,X2) ) ) ) ),
    file('/tmp/tmp7FIrLq/sel_SWC340+1.p_1',ax93) ).

fof(36,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/tmp7FIrLq/sel_SWC340+1.p_1',ax11) ).

fof(37,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/tmp7FIrLq/sel_SWC340+1.p_1',ax12) ).

fof(45,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ~ segmentP(X4,X3)
                    | ~ strictorderedP(X3)
                    | ( segmentP(X2,X1)
                      & totalorderedP(X1) ) ) ) ) ) ),
    file('/tmp/tmp7FIrLq/sel_SWC340+1.p_1',co1) ).

fof(46,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ~ segmentP(X4,X3)
                      | ~ strictorderedP(X3)
                      | ( segmentP(X2,X1)
                        & totalorderedP(X1) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[45]) ).

fof(49,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ~ segmentP(X4,X3)
                      | ~ strictorderedP(X3)
                      | ( segmentP(X2,X1)
                        & totalorderedP(X1) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[46,theory(equality)]) ).

fof(148,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)],[24]) ).

fof(149,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)],[148]) ).

fof(150,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)],[149]) ).

fof(151,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)],[150]) ).

cnf(153,plain,
    ( leq(X1,X2)
    | ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ lt(X1,X2) ),
    inference(split_conjunct,[status(thm)],[151]) ).

fof(205,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)],[36]) ).

fof(206,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)],[205]) ).

fof(207,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(esk8_1(X7))
            & ssItem(esk9_1(X7))
            & ssList(esk10_1(X7))
            & ssList(esk11_1(X7))
            & ssList(esk12_1(X7))
            & app(app(esk10_1(X7),cons(esk8_1(X7),esk11_1(X7))),cons(esk9_1(X7),esk12_1(X7))) = X7
            & ~ leq(esk8_1(X7),esk9_1(X7)) )
          | totalorderedP(X7) ) ) ),
    inference(skolemize,[status(esa)],[206]) ).

fof(208,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(esk8_1(X7))
            & ssItem(esk9_1(X7))
            & ssList(esk10_1(X7))
            & ssList(esk11_1(X7))
            & ssList(esk12_1(X7))
            & app(app(esk10_1(X7),cons(esk8_1(X7),esk11_1(X7))),cons(esk9_1(X7),esk12_1(X7))) = X7
            & ~ leq(esk8_1(X7),esk9_1(X7)) )
          | totalorderedP(X7) ) )
      | ~ ssList(X7) ),
    inference(shift_quantors,[status(thm)],[207]) ).

fof(209,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(esk8_1(X7))
        | totalorderedP(X7)
        | ~ ssList(X7) )
      & ( ssItem(esk9_1(X7))
        | totalorderedP(X7)
        | ~ ssList(X7) )
      & ( ssList(esk10_1(X7))
        | totalorderedP(X7)
        | ~ ssList(X7) )
      & ( ssList(esk11_1(X7))
        | totalorderedP(X7)
        | ~ ssList(X7) )
      & ( ssList(esk12_1(X7))
        | totalorderedP(X7)
        | ~ ssList(X7) )
      & ( app(app(esk10_1(X7),cons(esk8_1(X7),esk11_1(X7))),cons(esk9_1(X7),esk12_1(X7))) = X7
        | totalorderedP(X7)
        | ~ ssList(X7) )
      & ( ~ leq(esk8_1(X7),esk9_1(X7))
        | totalorderedP(X7)
        | ~ ssList(X7) ) ),
    inference(distribute,[status(thm)],[208]) ).

cnf(210,plain,
    ( totalorderedP(X1)
    | ~ ssList(X1)
    | ~ leq(esk8_1(X1),esk9_1(X1)) ),
    inference(split_conjunct,[status(thm)],[209]) ).

cnf(211,plain,
    ( totalorderedP(X1)
    | app(app(esk10_1(X1),cons(esk8_1(X1),esk11_1(X1))),cons(esk9_1(X1),esk12_1(X1))) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[209]) ).

cnf(212,plain,
    ( totalorderedP(X1)
    | ssList(esk12_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[209]) ).

cnf(213,plain,
    ( totalorderedP(X1)
    | ssList(esk11_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[209]) ).

cnf(214,plain,
    ( totalorderedP(X1)
    | ssList(esk10_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[209]) ).

cnf(215,plain,
    ( totalorderedP(X1)
    | ssItem(esk9_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[209]) ).

cnf(216,plain,
    ( totalorderedP(X1)
    | ssItem(esk8_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[209]) ).

fof(218,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)],[37]) ).

fof(219,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)],[218]) ).

fof(220,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(esk13_1(X7))
            & ssItem(esk14_1(X7))
            & ssList(esk15_1(X7))
            & ssList(esk16_1(X7))
            & ssList(esk17_1(X7))
            & app(app(esk15_1(X7),cons(esk13_1(X7),esk16_1(X7))),cons(esk14_1(X7),esk17_1(X7))) = X7
            & ~ lt(esk13_1(X7),esk14_1(X7)) )
          | strictorderedP(X7) ) ) ),
    inference(skolemize,[status(esa)],[219]) ).

fof(221,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(esk13_1(X7))
            & ssItem(esk14_1(X7))
            & ssList(esk15_1(X7))
            & ssList(esk16_1(X7))
            & ssList(esk17_1(X7))
            & app(app(esk15_1(X7),cons(esk13_1(X7),esk16_1(X7))),cons(esk14_1(X7),esk17_1(X7))) = X7
            & ~ lt(esk13_1(X7),esk14_1(X7)) )
          | strictorderedP(X7) ) )
      | ~ ssList(X7) ),
    inference(shift_quantors,[status(thm)],[220]) ).

fof(222,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(esk13_1(X7))
        | strictorderedP(X7)
        | ~ ssList(X7) )
      & ( ssItem(esk14_1(X7))
        | strictorderedP(X7)
        | ~ ssList(X7) )
      & ( ssList(esk15_1(X7))
        | strictorderedP(X7)
        | ~ ssList(X7) )
      & ( ssList(esk16_1(X7))
        | strictorderedP(X7)
        | ~ ssList(X7) )
      & ( ssList(esk17_1(X7))
        | strictorderedP(X7)
        | ~ ssList(X7) )
      & ( app(app(esk15_1(X7),cons(esk13_1(X7),esk16_1(X7))),cons(esk14_1(X7),esk17_1(X7))) = X7
        | strictorderedP(X7)
        | ~ ssList(X7) )
      & ( ~ lt(esk13_1(X7),esk14_1(X7))
        | strictorderedP(X7)
        | ~ ssList(X7) ) ),
    inference(distribute,[status(thm)],[221]) ).

cnf(230,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)],[222]) ).

fof(256,negated_conjecture,
    ? [X1] :
      ( ssList(X1)
      & ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( ssList(X3)
              & ? [X4] :
                  ( ssList(X4)
                  & X2 = X4
                  & X1 = X3
                  & segmentP(X4,X3)
                  & strictorderedP(X3)
                  & ( ~ segmentP(X2,X1)
                    | ~ totalorderedP(X1) ) ) ) ) ),
    inference(fof_nnf,[status(thm)],[49]) ).

fof(257,negated_conjecture,
    ? [X5] :
      ( ssList(X5)
      & ? [X6] :
          ( ssList(X6)
          & ? [X7] :
              ( ssList(X7)
              & ? [X8] :
                  ( ssList(X8)
                  & X6 = X8
                  & X5 = X7
                  & segmentP(X8,X7)
                  & strictorderedP(X7)
                  & ( ~ segmentP(X6,X5)
                    | ~ totalorderedP(X5) ) ) ) ) ),
    inference(variable_rename,[status(thm)],[256]) ).

fof(258,negated_conjecture,
    ( ssList(esk18_0)
    & ssList(esk19_0)
    & ssList(esk20_0)
    & ssList(esk21_0)
    & esk19_0 = esk21_0
    & esk18_0 = esk20_0
    & segmentP(esk21_0,esk20_0)
    & strictorderedP(esk20_0)
    & ( ~ segmentP(esk19_0,esk18_0)
      | ~ totalorderedP(esk18_0) ) ),
    inference(skolemize,[status(esa)],[257]) ).

cnf(259,negated_conjecture,
    ( ~ totalorderedP(esk18_0)
    | ~ segmentP(esk19_0,esk18_0) ),
    inference(split_conjunct,[status(thm)],[258]) ).

cnf(260,negated_conjecture,
    strictorderedP(esk20_0),
    inference(split_conjunct,[status(thm)],[258]) ).

cnf(261,negated_conjecture,
    segmentP(esk21_0,esk20_0),
    inference(split_conjunct,[status(thm)],[258]) ).

cnf(262,negated_conjecture,
    esk18_0 = esk20_0,
    inference(split_conjunct,[status(thm)],[258]) ).

cnf(263,negated_conjecture,
    esk19_0 = esk21_0,
    inference(split_conjunct,[status(thm)],[258]) ).

cnf(267,negated_conjecture,
    ssList(esk18_0),
    inference(split_conjunct,[status(thm)],[258]) ).

cnf(268,negated_conjecture,
    strictorderedP(esk18_0),
    inference(rw,[status(thm)],[260,262,theory(equality)]) ).

cnf(272,negated_conjecture,
    segmentP(esk21_0,esk18_0),
    inference(rw,[status(thm)],[261,262,theory(equality)]) ).

cnf(273,negated_conjecture,
    ( ~ totalorderedP(esk18_0)
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[259,263,theory(equality)]),272,theory(equality)]) ).

cnf(274,negated_conjecture,
    ~ totalorderedP(esk18_0),
    inference(cn,[status(thm)],[273,theory(equality)]) ).

cnf(334,plain,
    ( totalorderedP(X1)
    | ~ ssList(X1)
    | ~ lt(esk8_1(X1),esk9_1(X1))
    | ~ ssItem(esk9_1(X1))
    | ~ ssItem(esk8_1(X1)) ),
    inference(spm,[status(thm)],[210,153,theory(equality)]) ).

cnf(550,plain,
    ( lt(esk8_1(X1),esk9_1(X1))
    | totalorderedP(X1)
    | X1 != X2
    | ~ strictorderedP(X2)
    | ~ ssList(esk12_1(X1))
    | ~ ssList(esk11_1(X1))
    | ~ ssList(esk10_1(X1))
    | ~ ssList(X2)
    | ~ ssItem(esk9_1(X1))
    | ~ ssItem(esk8_1(X1))
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[230,211,theory(equality)]) ).

cnf(555,plain,
    ( lt(esk8_1(X1),esk9_1(X1))
    | totalorderedP(X1)
    | ~ strictorderedP(X1)
    | ~ ssList(esk12_1(X1))
    | ~ ssList(esk11_1(X1))
    | ~ ssList(esk10_1(X1))
    | ~ ssList(X1)
    | ~ ssItem(esk9_1(X1))
    | ~ ssItem(esk8_1(X1)) ),
    inference(er,[status(thm)],[550,theory(equality)]) ).

cnf(859,plain,
    ( totalorderedP(X1)
    | ~ ssList(X1)
    | ~ lt(esk8_1(X1),esk9_1(X1))
    | ~ ssItem(esk9_1(X1)) ),
    inference(csr,[status(thm)],[334,216]) ).

cnf(860,plain,
    ( totalorderedP(X1)
    | ~ ssList(X1)
    | ~ lt(esk8_1(X1),esk9_1(X1)) ),
    inference(csr,[status(thm)],[859,215]) ).

cnf(14176,plain,
    ( lt(esk8_1(X1),esk9_1(X1))
    | totalorderedP(X1)
    | ~ strictorderedP(X1)
    | ~ ssList(esk12_1(X1))
    | ~ ssList(esk11_1(X1))
    | ~ ssList(esk10_1(X1))
    | ~ ssList(X1)
    | ~ ssItem(esk9_1(X1)) ),
    inference(csr,[status(thm)],[555,216]) ).

cnf(14177,plain,
    ( lt(esk8_1(X1),esk9_1(X1))
    | totalorderedP(X1)
    | ~ strictorderedP(X1)
    | ~ ssList(esk12_1(X1))
    | ~ ssList(esk11_1(X1))
    | ~ ssList(esk10_1(X1))
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[14176,215]) ).

cnf(14178,plain,
    ( lt(esk8_1(X1),esk9_1(X1))
    | totalorderedP(X1)
    | ~ strictorderedP(X1)
    | ~ ssList(esk12_1(X1))
    | ~ ssList(esk11_1(X1))
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[14177,214]) ).

cnf(14179,plain,
    ( lt(esk8_1(X1),esk9_1(X1))
    | totalorderedP(X1)
    | ~ strictorderedP(X1)
    | ~ ssList(esk12_1(X1))
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[14178,213]) ).

cnf(14180,plain,
    ( lt(esk8_1(X1),esk9_1(X1))
    | totalorderedP(X1)
    | ~ strictorderedP(X1)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[14179,212]) ).

cnf(14181,plain,
    ( totalorderedP(X1)
    | ~ strictorderedP(X1)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[14180,860]) ).

cnf(14183,negated_conjecture,
    ( totalorderedP(esk18_0)
    | ~ ssList(esk18_0) ),
    inference(spm,[status(thm)],[14181,268,theory(equality)]) ).

cnf(14192,negated_conjecture,
    ( totalorderedP(esk18_0)
    | $false ),
    inference(rw,[status(thm)],[14183,267,theory(equality)]) ).

cnf(14193,negated_conjecture,
    totalorderedP(esk18_0),
    inference(cn,[status(thm)],[14192,theory(equality)]) ).

cnf(14194,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[14193,274,theory(equality)]) ).

cnf(14195,negated_conjecture,
    $false,
    14194,
    [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/SWC340+1.p
% --creating new selector for [SWC001+0.ax]
% -running prover on /tmp/tmp7FIrLq/sel_SWC340+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWC340+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWC/SWC340+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWC/SWC340+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
% 
%------------------------------------------------------------------------------