TSTP Solution File: SWC271+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SWC271+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 11:14:53 EST 2010

% Result   : Theorem 1.23s
% Output   : CNFRefutation 1.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   54 (   7 unt;   0 def)
%            Number of atoms       :  466 (  49 equ)
%            Maximal formula atoms :   30 (   8 avg)
%            Number of connectives :  651 ( 239   ~; 254   |; 127   &)
%                                         (   3 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   9 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   4 con; 0-2 aty)
%            Number of variables   :  156 (   0 sgn  98   !;  31   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(29,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( lt(X1,X2)
          <=> ( X1 != X2
              & leq(X1,X2) ) ) ) ),
    file('/tmp/tmpymxePb/sel_SWC271+1.p_1',ax93) ).

fof(44,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/tmpymxePb/sel_SWC271+1.p_1',ax11) ).

fof(45,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/tmpymxePb/sel_SWC271+1.p_1',ax12) ).

fof(55,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ~ frontsegP(X4,X3)
                    | ~ strictorderedP(X3)
                    | ? [X5] :
                        ( ssList(X5)
                        & neq(X3,X5)
                        & frontsegP(X4,X5)
                        & segmentP(X5,X3)
                        & strictorderedP(X5) )
                    | totalorderedP(X1) ) ) ) ) ),
    file('/tmp/tmpymxePb/sel_SWC271+1.p_1',co1) ).

fof(56,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ~ frontsegP(X4,X3)
                      | ~ strictorderedP(X3)
                      | ? [X5] :
                          ( ssList(X5)
                          & neq(X3,X5)
                          & frontsegP(X4,X5)
                          & segmentP(X5,X3)
                          & strictorderedP(X5) )
                      | totalorderedP(X1) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[55]) ).

fof(59,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ~ frontsegP(X4,X3)
                      | ~ strictorderedP(X3)
                      | ? [X5] :
                          ( ssList(X5)
                          & neq(X3,X5)
                          & frontsegP(X4,X5)
                          & segmentP(X5,X3)
                          & strictorderedP(X5) )
                      | totalorderedP(X1) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[56,theory(equality)]) ).

fof(185,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)],[29]) ).

fof(186,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)],[185]) ).

fof(187,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)],[186]) ).

fof(188,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)],[187]) ).

cnf(190,plain,
    ( leq(X1,X2)
    | ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ lt(X1,X2) ),
    inference(split_conjunct,[status(thm)],[188]) ).

fof(253,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)],[44]) ).

fof(254,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)],[253]) ).

fof(255,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(esk9_1(X7))
            & ssItem(esk10_1(X7))
            & ssList(esk11_1(X7))
            & ssList(esk12_1(X7))
            & ssList(esk13_1(X7))
            & app(app(esk11_1(X7),cons(esk9_1(X7),esk12_1(X7))),cons(esk10_1(X7),esk13_1(X7))) = X7
            & ~ leq(esk9_1(X7),esk10_1(X7)) )
          | totalorderedP(X7) ) ) ),
    inference(skolemize,[status(esa)],[254]) ).

fof(256,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(esk9_1(X7))
            & ssItem(esk10_1(X7))
            & ssList(esk11_1(X7))
            & ssList(esk12_1(X7))
            & ssList(esk13_1(X7))
            & app(app(esk11_1(X7),cons(esk9_1(X7),esk12_1(X7))),cons(esk10_1(X7),esk13_1(X7))) = X7
            & ~ leq(esk9_1(X7),esk10_1(X7)) )
          | totalorderedP(X7) ) )
      | ~ ssList(X7) ),
    inference(shift_quantors,[status(thm)],[255]) ).

fof(257,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(esk9_1(X7))
        | totalorderedP(X7)
        | ~ ssList(X7) )
      & ( ssItem(esk10_1(X7))
        | totalorderedP(X7)
        | ~ ssList(X7) )
      & ( ssList(esk11_1(X7))
        | totalorderedP(X7)
        | ~ ssList(X7) )
      & ( ssList(esk12_1(X7))
        | totalorderedP(X7)
        | ~ ssList(X7) )
      & ( ssList(esk13_1(X7))
        | totalorderedP(X7)
        | ~ ssList(X7) )
      & ( app(app(esk11_1(X7),cons(esk9_1(X7),esk12_1(X7))),cons(esk10_1(X7),esk13_1(X7))) = X7
        | totalorderedP(X7)
        | ~ ssList(X7) )
      & ( ~ leq(esk9_1(X7),esk10_1(X7))
        | totalorderedP(X7)
        | ~ ssList(X7) ) ),
    inference(distribute,[status(thm)],[256]) ).

cnf(258,plain,
    ( totalorderedP(X1)
    | ~ ssList(X1)
    | ~ leq(esk9_1(X1),esk10_1(X1)) ),
    inference(split_conjunct,[status(thm)],[257]) ).

cnf(259,plain,
    ( totalorderedP(X1)
    | app(app(esk11_1(X1),cons(esk9_1(X1),esk12_1(X1))),cons(esk10_1(X1),esk13_1(X1))) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[257]) ).

cnf(260,plain,
    ( totalorderedP(X1)
    | ssList(esk13_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[257]) ).

cnf(261,plain,
    ( totalorderedP(X1)
    | ssList(esk12_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[257]) ).

cnf(262,plain,
    ( totalorderedP(X1)
    | ssList(esk11_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[257]) ).

cnf(263,plain,
    ( totalorderedP(X1)
    | ssItem(esk10_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[257]) ).

cnf(264,plain,
    ( totalorderedP(X1)
    | ssItem(esk9_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[257]) ).

fof(266,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)],[45]) ).

fof(267,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)],[266]) ).

fof(268,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(esk14_1(X7))
            & ssItem(esk15_1(X7))
            & ssList(esk16_1(X7))
            & ssList(esk17_1(X7))
            & ssList(esk18_1(X7))
            & app(app(esk16_1(X7),cons(esk14_1(X7),esk17_1(X7))),cons(esk15_1(X7),esk18_1(X7))) = X7
            & ~ lt(esk14_1(X7),esk15_1(X7)) )
          | strictorderedP(X7) ) ) ),
    inference(skolemize,[status(esa)],[267]) ).

fof(269,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(esk14_1(X7))
            & ssItem(esk15_1(X7))
            & ssList(esk16_1(X7))
            & ssList(esk17_1(X7))
            & ssList(esk18_1(X7))
            & app(app(esk16_1(X7),cons(esk14_1(X7),esk17_1(X7))),cons(esk15_1(X7),esk18_1(X7))) = X7
            & ~ lt(esk14_1(X7),esk15_1(X7)) )
          | strictorderedP(X7) ) )
      | ~ ssList(X7) ),
    inference(shift_quantors,[status(thm)],[268]) ).

fof(270,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(esk14_1(X7))
        | strictorderedP(X7)
        | ~ ssList(X7) )
      & ( ssItem(esk15_1(X7))
        | strictorderedP(X7)
        | ~ ssList(X7) )
      & ( ssList(esk16_1(X7))
        | strictorderedP(X7)
        | ~ ssList(X7) )
      & ( ssList(esk17_1(X7))
        | strictorderedP(X7)
        | ~ ssList(X7) )
      & ( ssList(esk18_1(X7))
        | strictorderedP(X7)
        | ~ ssList(X7) )
      & ( app(app(esk16_1(X7),cons(esk14_1(X7),esk17_1(X7))),cons(esk15_1(X7),esk18_1(X7))) = X7
        | strictorderedP(X7)
        | ~ ssList(X7) )
      & ( ~ lt(esk14_1(X7),esk15_1(X7))
        | strictorderedP(X7)
        | ~ ssList(X7) ) ),
    inference(distribute,[status(thm)],[269]) ).

cnf(278,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)],[270]) ).

fof(316,negated_conjecture,
    ? [X1] :
      ( ssList(X1)
      & ? [X2] :
          ( ssList(X2)
          & ? [X3] :
              ( ssList(X3)
              & ? [X4] :
                  ( ssList(X4)
                  & X2 = X4
                  & X1 = X3
                  & frontsegP(X4,X3)
                  & strictorderedP(X3)
                  & ! [X5] :
                      ( ~ ssList(X5)
                      | ~ neq(X3,X5)
                      | ~ frontsegP(X4,X5)
                      | ~ segmentP(X5,X3)
                      | ~ strictorderedP(X5) )
                  & ~ totalorderedP(X1) ) ) ) ),
    inference(fof_nnf,[status(thm)],[59]) ).

fof(317,negated_conjecture,
    ? [X6] :
      ( ssList(X6)
      & ? [X7] :
          ( ssList(X7)
          & ? [X8] :
              ( ssList(X8)
              & ? [X9] :
                  ( ssList(X9)
                  & X7 = X9
                  & X6 = X8
                  & frontsegP(X9,X8)
                  & strictorderedP(X8)
                  & ! [X10] :
                      ( ~ ssList(X10)
                      | ~ neq(X8,X10)
                      | ~ frontsegP(X9,X10)
                      | ~ segmentP(X10,X8)
                      | ~ strictorderedP(X10) )
                  & ~ totalorderedP(X6) ) ) ) ),
    inference(variable_rename,[status(thm)],[316]) ).

fof(318,negated_conjecture,
    ( ssList(esk19_0)
    & ssList(esk20_0)
    & ssList(esk21_0)
    & ssList(esk22_0)
    & esk20_0 = esk22_0
    & esk19_0 = esk21_0
    & frontsegP(esk22_0,esk21_0)
    & strictorderedP(esk21_0)
    & ! [X10] :
        ( ~ ssList(X10)
        | ~ neq(esk21_0,X10)
        | ~ frontsegP(esk22_0,X10)
        | ~ segmentP(X10,esk21_0)
        | ~ strictorderedP(X10) )
    & ~ totalorderedP(esk19_0) ),
    inference(skolemize,[status(esa)],[317]) ).

fof(319,negated_conjecture,
    ! [X10] :
      ( ( ~ ssList(X10)
        | ~ neq(esk21_0,X10)
        | ~ frontsegP(esk22_0,X10)
        | ~ segmentP(X10,esk21_0)
        | ~ strictorderedP(X10) )
      & esk20_0 = esk22_0
      & esk19_0 = esk21_0
      & frontsegP(esk22_0,esk21_0)
      & strictorderedP(esk21_0)
      & ~ totalorderedP(esk19_0)
      & ssList(esk22_0)
      & ssList(esk21_0)
      & ssList(esk20_0)
      & ssList(esk19_0) ),
    inference(shift_quantors,[status(thm)],[318]) ).

cnf(322,negated_conjecture,
    ssList(esk21_0),
    inference(split_conjunct,[status(thm)],[319]) ).

cnf(324,negated_conjecture,
    ~ totalorderedP(esk19_0),
    inference(split_conjunct,[status(thm)],[319]) ).

cnf(325,negated_conjecture,
    strictorderedP(esk21_0),
    inference(split_conjunct,[status(thm)],[319]) ).

cnf(327,negated_conjecture,
    esk19_0 = esk21_0,
    inference(split_conjunct,[status(thm)],[319]) ).

cnf(332,negated_conjecture,
    ~ totalorderedP(esk21_0),
    inference(rw,[status(thm)],[324,327,theory(equality)]) ).

cnf(476,plain,
    ( totalorderedP(X1)
    | ~ ssList(X1)
    | ~ lt(esk9_1(X1),esk10_1(X1))
    | ~ ssItem(esk10_1(X1))
    | ~ ssItem(esk9_1(X1)) ),
    inference(spm,[status(thm)],[258,190,theory(equality)]) ).

cnf(686,plain,
    ( lt(esk9_1(X1),esk10_1(X1))
    | totalorderedP(X1)
    | X1 != X2
    | ~ strictorderedP(X2)
    | ~ ssList(esk13_1(X1))
    | ~ ssList(esk12_1(X1))
    | ~ ssList(esk11_1(X1))
    | ~ ssList(X2)
    | ~ ssItem(esk10_1(X1))
    | ~ ssItem(esk9_1(X1))
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[278,259,theory(equality)]) ).

cnf(691,plain,
    ( lt(esk9_1(X1),esk10_1(X1))
    | totalorderedP(X1)
    | ~ strictorderedP(X1)
    | ~ ssList(esk13_1(X1))
    | ~ ssList(esk12_1(X1))
    | ~ ssList(esk11_1(X1))
    | ~ ssList(X1)
    | ~ ssItem(esk10_1(X1))
    | ~ ssItem(esk9_1(X1)) ),
    inference(er,[status(thm)],[686,theory(equality)]) ).

cnf(2248,plain,
    ( totalorderedP(X1)
    | ~ ssList(X1)
    | ~ lt(esk9_1(X1),esk10_1(X1))
    | ~ ssItem(esk10_1(X1)) ),
    inference(csr,[status(thm)],[476,264]) ).

cnf(2249,plain,
    ( totalorderedP(X1)
    | ~ ssList(X1)
    | ~ lt(esk9_1(X1),esk10_1(X1)) ),
    inference(csr,[status(thm)],[2248,263]) ).

cnf(22298,plain,
    ( lt(esk9_1(X1),esk10_1(X1))
    | totalorderedP(X1)
    | ~ strictorderedP(X1)
    | ~ ssList(esk13_1(X1))
    | ~ ssList(esk12_1(X1))
    | ~ ssList(esk11_1(X1))
    | ~ ssList(X1)
    | ~ ssItem(esk10_1(X1)) ),
    inference(csr,[status(thm)],[691,264]) ).

cnf(22299,plain,
    ( lt(esk9_1(X1),esk10_1(X1))
    | totalorderedP(X1)
    | ~ strictorderedP(X1)
    | ~ ssList(esk13_1(X1))
    | ~ ssList(esk12_1(X1))
    | ~ ssList(esk11_1(X1))
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[22298,263]) ).

cnf(22300,plain,
    ( lt(esk9_1(X1),esk10_1(X1))
    | totalorderedP(X1)
    | ~ strictorderedP(X1)
    | ~ ssList(esk13_1(X1))
    | ~ ssList(esk12_1(X1))
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[22299,262]) ).

cnf(22301,plain,
    ( lt(esk9_1(X1),esk10_1(X1))
    | totalorderedP(X1)
    | ~ strictorderedP(X1)
    | ~ ssList(esk13_1(X1))
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[22300,261]) ).

cnf(22302,plain,
    ( lt(esk9_1(X1),esk10_1(X1))
    | totalorderedP(X1)
    | ~ strictorderedP(X1)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[22301,260]) ).

cnf(22303,plain,
    ( totalorderedP(X1)
    | ~ strictorderedP(X1)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[22302,2249]) ).

cnf(22304,negated_conjecture,
    ( ~ strictorderedP(esk21_0)
    | ~ ssList(esk21_0) ),
    inference(spm,[status(thm)],[332,22303,theory(equality)]) ).

cnf(22310,negated_conjecture,
    ( $false
    | ~ ssList(esk21_0) ),
    inference(rw,[status(thm)],[22304,325,theory(equality)]) ).

cnf(22311,negated_conjecture,
    ( $false
    | $false ),
    inference(rw,[status(thm)],[22310,322,theory(equality)]) ).

cnf(22312,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[22311,theory(equality)]) ).

cnf(22313,negated_conjecture,
    $false,
    22312,
    [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/SWC271+1.p
% --creating new selector for [SWC001+0.ax]
% -running prover on /tmp/tmpymxePb/sel_SWC271+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWC271+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWC/SWC271+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWC/SWC271+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
% 
%------------------------------------------------------------------------------