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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : KRS140+1 : TPTP v5.0.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art05.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 : Sat Dec 25 13:02:21 EST 2010

% Result   : Theorem 0.22s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   94 (  18 unt;   0 def)
%            Number of atoms       :  360 (  44 equ)
%            Maximal formula atoms :   42 (   3 avg)
%            Number of connectives :  416 ( 150   ~; 216   |;  40   &)
%                                         (   5 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   84 (  21 sgn  39   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(4,conjecture,
    ( ! [X4] :
        ( cowlThing(X4)
        & ~ cowlNothing(X4) )
    & ! [X4] :
        ( xsd_string(X4)
      <=> ~ xsd_integer(X4) )
    & ! [X4,X5,X6] :
        ( ( rsymProp(X4,X5)
          & rsymProp(X5,X6) )
       => rsymProp(X4,X6) )
    & ? [X4] :
        ( rsymProp(ia,X4)
        & cowlThing(X4) ) ),
    file('/tmp/tmpUvzb-7/sel_KRS140+1.p_1',the_axiom) ).

fof(5,axiom,
    ! [X4,X5] :
      ( rsymProp(X4,X5)
     => ( X5 = ia
        | X5 = ib ) ),
    file('/tmp/tmpUvzb-7/sel_KRS140+1.p_1',axiom_2) ).

fof(6,axiom,
    ! [X4,X5] :
      ( rsymProp(X4,X5)
     => rsymProp(X5,X4) ),
    file('/tmp/tmpUvzb-7/sel_KRS140+1.p_1',axiom_3) ).

fof(7,axiom,
    ! [X4] :
      ( cowlThing(X4)
      & ~ cowlNothing(X4) ),
    file('/tmp/tmpUvzb-7/sel_KRS140+1.p_1',axiom_0) ).

fof(8,axiom,
    ! [X4] :
      ( xsd_string(X4)
    <=> ~ xsd_integer(X4) ),
    file('/tmp/tmpUvzb-7/sel_KRS140+1.p_1',axiom_1) ).

fof(10,axiom,
    rsymProp(ib,ib),
    file('/tmp/tmpUvzb-7/sel_KRS140+1.p_1',axiom_7) ).

fof(12,axiom,
    rsymProp(ia,ia),
    file('/tmp/tmpUvzb-7/sel_KRS140+1.p_1',axiom_5) ).

fof(16,negated_conjecture,
    ~ ( ! [X4] :
          ( cowlThing(X4)
          & ~ cowlNothing(X4) )
      & ! [X4] :
          ( xsd_string(X4)
        <=> ~ xsd_integer(X4) )
      & ! [X4,X5,X6] :
          ( ( rsymProp(X4,X5)
            & rsymProp(X5,X6) )
         => rsymProp(X4,X6) )
      & ? [X4] :
          ( rsymProp(ia,X4)
          & cowlThing(X4) ) ),
    inference(assume_negation,[status(cth)],[4]) ).

fof(17,negated_conjecture,
    ~ ( ! [X4] :
          ( cowlThing(X4)
          & ~ cowlNothing(X4) )
      & ! [X4] :
          ( xsd_string(X4)
        <=> ~ xsd_integer(X4) )
      & ! [X4,X5,X6] :
          ( ( rsymProp(X4,X5)
            & rsymProp(X5,X6) )
         => rsymProp(X4,X6) )
      & ? [X4] :
          ( rsymProp(ia,X4)
          & cowlThing(X4) ) ),
    inference(fof_simplification,[status(thm)],[16,theory(equality)]) ).

fof(18,plain,
    ! [X4] :
      ( cowlThing(X4)
      & ~ cowlNothing(X4) ),
    inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).

fof(19,plain,
    ! [X4] :
      ( xsd_string(X4)
    <=> ~ xsd_integer(X4) ),
    inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).

fof(29,negated_conjecture,
    ( ? [X4] :
        ( ~ cowlThing(X4)
        | cowlNothing(X4) )
    | ? [X4] :
        ( ( ~ xsd_string(X4)
          | xsd_integer(X4) )
        & ( xsd_string(X4)
          | ~ xsd_integer(X4) ) )
    | ? [X4,X5,X6] :
        ( rsymProp(X4,X5)
        & rsymProp(X5,X6)
        & ~ rsymProp(X4,X6) )
    | ! [X4] :
        ( ~ rsymProp(ia,X4)
        | ~ cowlThing(X4) ) ),
    inference(fof_nnf,[status(thm)],[17]) ).

fof(30,negated_conjecture,
    ( ? [X7] :
        ( ~ cowlThing(X7)
        | cowlNothing(X7) )
    | ? [X8] :
        ( ( ~ xsd_string(X8)
          | xsd_integer(X8) )
        & ( xsd_string(X8)
          | ~ xsd_integer(X8) ) )
    | ? [X9,X10,X11] :
        ( rsymProp(X9,X10)
        & rsymProp(X10,X11)
        & ~ rsymProp(X9,X11) )
    | ! [X12] :
        ( ~ rsymProp(ia,X12)
        | ~ cowlThing(X12) ) ),
    inference(variable_rename,[status(thm)],[29]) ).

fof(31,negated_conjecture,
    ( ~ cowlThing(esk1_0)
    | cowlNothing(esk1_0)
    | ( ( ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0) )
      & ( xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0) ) )
    | ( rsymProp(esk3_0,esk4_0)
      & rsymProp(esk4_0,esk5_0)
      & ~ rsymProp(esk3_0,esk5_0) )
    | ! [X12] :
        ( ~ rsymProp(ia,X12)
        | ~ cowlThing(X12) ) ),
    inference(skolemize,[status(esa)],[30]) ).

fof(32,negated_conjecture,
    ! [X12] :
      ( ~ rsymProp(ia,X12)
      | ~ cowlThing(X12)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ( ( ~ xsd_string(esk2_0)
          | xsd_integer(esk2_0) )
        & ( xsd_string(esk2_0)
          | ~ xsd_integer(esk2_0) ) )
      | ( rsymProp(esk3_0,esk4_0)
        & rsymProp(esk4_0,esk5_0)
        & ~ rsymProp(esk3_0,esk5_0) ) ),
    inference(shift_quantors,[status(thm)],[31]) ).

fof(33,negated_conjecture,
    ! [X12] :
      ( ( rsymProp(esk3_0,esk4_0)
        | ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | ~ rsymProp(ia,X12)
        | ~ cowlThing(X12) )
      & ( rsymProp(esk4_0,esk5_0)
        | ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | ~ rsymProp(ia,X12)
        | ~ cowlThing(X12) )
      & ( ~ rsymProp(esk3_0,esk5_0)
        | ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | ~ rsymProp(ia,X12)
        | ~ cowlThing(X12) )
      & ( rsymProp(esk3_0,esk4_0)
        | xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | ~ rsymProp(ia,X12)
        | ~ cowlThing(X12) )
      & ( rsymProp(esk4_0,esk5_0)
        | xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | ~ rsymProp(ia,X12)
        | ~ cowlThing(X12) )
      & ( ~ rsymProp(esk3_0,esk5_0)
        | xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | ~ rsymProp(ia,X12)
        | ~ cowlThing(X12) ) ),
    inference(distribute,[status(thm)],[32]) ).

cnf(34,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | ~ cowlThing(X1)
    | ~ rsymProp(ia,X1)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | ~ rsymProp(esk3_0,esk5_0) ),
    inference(split_conjunct,[status(thm)],[33]) ).

cnf(35,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rsymProp(esk4_0,esk5_0)
    | ~ cowlThing(X1)
    | ~ rsymProp(ia,X1)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[33]) ).

cnf(36,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rsymProp(esk3_0,esk4_0)
    | ~ cowlThing(X1)
    | ~ rsymProp(ia,X1)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[33]) ).

cnf(37,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | ~ cowlThing(X1)
    | ~ rsymProp(ia,X1)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0)
    | ~ rsymProp(esk3_0,esk5_0) ),
    inference(split_conjunct,[status(thm)],[33]) ).

cnf(38,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rsymProp(esk4_0,esk5_0)
    | ~ cowlThing(X1)
    | ~ rsymProp(ia,X1)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[33]) ).

cnf(39,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rsymProp(esk3_0,esk4_0)
    | ~ cowlThing(X1)
    | ~ rsymProp(ia,X1)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[33]) ).

fof(40,plain,
    ! [X4,X5] :
      ( ~ rsymProp(X4,X5)
      | X5 = ia
      | X5 = ib ),
    inference(fof_nnf,[status(thm)],[5]) ).

fof(41,plain,
    ! [X6,X7] :
      ( ~ rsymProp(X6,X7)
      | X7 = ia
      | X7 = ib ),
    inference(variable_rename,[status(thm)],[40]) ).

cnf(42,plain,
    ( X1 = ib
    | X1 = ia
    | ~ rsymProp(X2,X1) ),
    inference(split_conjunct,[status(thm)],[41]) ).

fof(43,plain,
    ! [X4,X5] :
      ( ~ rsymProp(X4,X5)
      | rsymProp(X5,X4) ),
    inference(fof_nnf,[status(thm)],[6]) ).

fof(44,plain,
    ! [X6,X7] :
      ( ~ rsymProp(X6,X7)
      | rsymProp(X7,X6) ),
    inference(variable_rename,[status(thm)],[43]) ).

cnf(45,plain,
    ( rsymProp(X1,X2)
    | ~ rsymProp(X2,X1) ),
    inference(split_conjunct,[status(thm)],[44]) ).

fof(46,plain,
    ! [X5] :
      ( cowlThing(X5)
      & ~ cowlNothing(X5) ),
    inference(variable_rename,[status(thm)],[18]) ).

cnf(47,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[46]) ).

cnf(48,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[46]) ).

fof(49,plain,
    ! [X4] :
      ( ( ~ xsd_string(X4)
        | ~ xsd_integer(X4) )
      & ( xsd_integer(X4)
        | xsd_string(X4) ) ),
    inference(fof_nnf,[status(thm)],[19]) ).

fof(50,plain,
    ! [X5] :
      ( ( ~ xsd_string(X5)
        | ~ xsd_integer(X5) )
      & ( xsd_integer(X5)
        | xsd_string(X5) ) ),
    inference(variable_rename,[status(thm)],[49]) ).

cnf(51,plain,
    ( xsd_string(X1)
    | xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(52,plain,
    ( ~ xsd_integer(X1)
    | ~ xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(56,plain,
    rsymProp(ib,ib),
    inference(split_conjunct,[status(thm)],[10]) ).

cnf(58,plain,
    rsymProp(ia,ia),
    inference(split_conjunct,[status(thm)],[12]) ).

cnf(68,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | rsymProp(esk3_0,esk4_0)
    | $false
    | $false
    | ~ xsd_string(esk2_0)
    | ~ rsymProp(ia,X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[39,48,theory(equality)]),48,theory(equality)]),
    [unfolding] ).

cnf(69,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | rsymProp(esk4_0,esk5_0)
    | $false
    | $false
    | ~ xsd_string(esk2_0)
    | ~ rsymProp(ia,X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[38,48,theory(equality)]),48,theory(equality)]),
    [unfolding] ).

cnf(70,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rsymProp(esk3_0,esk4_0)
    | $false
    | ~ xsd_integer(esk2_0)
    | $false
    | ~ rsymProp(ia,X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[36,48,theory(equality)]),48,theory(equality)]),
    [unfolding] ).

cnf(71,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rsymProp(esk4_0,esk5_0)
    | $false
    | ~ xsd_integer(esk2_0)
    | $false
    | ~ rsymProp(ia,X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[35,48,theory(equality)]),48,theory(equality)]),
    [unfolding] ).

cnf(72,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | $false
    | $false
    | ~ xsd_string(esk2_0)
    | ~ rsymProp(ia,X1)
    | ~ rsymProp(esk3_0,esk5_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[37,48,theory(equality)]),48,theory(equality)]),
    [unfolding] ).

cnf(73,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | $false
    | ~ xsd_integer(esk2_0)
    | $false
    | ~ rsymProp(ia,X1)
    | ~ rsymProp(esk3_0,esk5_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[34,48,theory(equality)]),48,theory(equality)]),
    [unfolding] ).

cnf(79,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rsymProp(esk3_0,esk4_0)
    | ~ xsd_string(esk2_0)
    | ~ rsymProp(ia,X1) ),
    inference(sr,[status(thm)],[68,47,theory(equality)]) ).

cnf(80,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rsymProp(esk3_0,esk4_0)
    | ~ rsymProp(ia,X1) ),
    inference(csr,[status(thm)],[79,51]) ).

cnf(81,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rsymProp(esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[80,58,theory(equality)]) ).

cnf(82,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rsymProp(esk4_0,esk5_0)
    | ~ xsd_string(esk2_0)
    | ~ rsymProp(ia,X1) ),
    inference(sr,[status(thm)],[69,47,theory(equality)]) ).

cnf(83,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rsymProp(esk4_0,esk5_0)
    | ~ rsymProp(ia,X1) ),
    inference(csr,[status(thm)],[82,51]) ).

cnf(84,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rsymProp(esk4_0,esk5_0) ),
    inference(spm,[status(thm)],[83,58,theory(equality)]) ).

cnf(85,negated_conjecture,
    ( xsd_string(esk2_0)
    | rsymProp(esk3_0,esk4_0)
    | ~ xsd_integer(esk2_0)
    | ~ rsymProp(ia,X1) ),
    inference(sr,[status(thm)],[70,47,theory(equality)]) ).

cnf(86,negated_conjecture,
    ( xsd_string(esk2_0)
    | rsymProp(esk3_0,esk4_0)
    | ~ rsymProp(ia,X1) ),
    inference(csr,[status(thm)],[85,51]) ).

cnf(87,negated_conjecture,
    ( xsd_string(esk2_0)
    | rsymProp(esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[86,58,theory(equality)]) ).

cnf(88,negated_conjecture,
    ( xsd_string(esk2_0)
    | rsymProp(esk4_0,esk5_0)
    | ~ xsd_integer(esk2_0)
    | ~ rsymProp(ia,X1) ),
    inference(sr,[status(thm)],[71,47,theory(equality)]) ).

cnf(89,negated_conjecture,
    ( xsd_string(esk2_0)
    | rsymProp(esk4_0,esk5_0)
    | ~ rsymProp(ia,X1) ),
    inference(csr,[status(thm)],[88,51]) ).

cnf(90,negated_conjecture,
    ( xsd_string(esk2_0)
    | rsymProp(esk4_0,esk5_0) ),
    inference(spm,[status(thm)],[89,58,theory(equality)]) ).

cnf(91,negated_conjecture,
    ( xsd_integer(esk2_0)
    | ~ xsd_string(esk2_0)
    | ~ rsymProp(ia,X1)
    | ~ rsymProp(esk3_0,esk5_0) ),
    inference(sr,[status(thm)],[72,47,theory(equality)]) ).

cnf(92,negated_conjecture,
    ( xsd_integer(esk2_0)
    | ~ rsymProp(esk3_0,esk5_0)
    | ~ rsymProp(ia,X1) ),
    inference(csr,[status(thm)],[91,51]) ).

cnf(93,negated_conjecture,
    ( xsd_integer(esk2_0)
    | ~ rsymProp(esk3_0,esk5_0) ),
    inference(spm,[status(thm)],[92,58,theory(equality)]) ).

cnf(94,negated_conjecture,
    ( xsd_string(esk2_0)
    | ~ xsd_integer(esk2_0)
    | ~ rsymProp(ia,X1)
    | ~ rsymProp(esk3_0,esk5_0) ),
    inference(sr,[status(thm)],[73,47,theory(equality)]) ).

cnf(95,negated_conjecture,
    ( xsd_string(esk2_0)
    | ~ rsymProp(esk3_0,esk5_0)
    | ~ rsymProp(ia,X1) ),
    inference(csr,[status(thm)],[94,51]) ).

cnf(96,negated_conjecture,
    ( xsd_string(esk2_0)
    | ~ rsymProp(esk3_0,esk5_0) ),
    inference(spm,[status(thm)],[95,58,theory(equality)]) ).

cnf(97,negated_conjecture,
    ( rsymProp(esk3_0,esk4_0)
    | ~ xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[52,87,theory(equality)]) ).

cnf(98,negated_conjecture,
    ( rsymProp(esk4_0,esk5_0)
    | ~ xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[52,90,theory(equality)]) ).

cnf(99,negated_conjecture,
    ( ~ xsd_integer(esk2_0)
    | ~ rsymProp(esk3_0,esk5_0) ),
    inference(spm,[status(thm)],[52,96,theory(equality)]) ).

cnf(100,negated_conjecture,
    rsymProp(esk3_0,esk4_0),
    inference(csr,[status(thm)],[97,81]) ).

cnf(101,negated_conjecture,
    rsymProp(esk4_0,esk3_0),
    inference(spm,[status(thm)],[45,100,theory(equality)]) ).

cnf(102,negated_conjecture,
    ( ib = esk4_0
    | ia = esk4_0 ),
    inference(spm,[status(thm)],[42,100,theory(equality)]) ).

cnf(106,negated_conjecture,
    ( ib = esk3_0
    | ia = esk3_0 ),
    inference(spm,[status(thm)],[42,101,theory(equality)]) ).

cnf(108,negated_conjecture,
    rsymProp(esk4_0,esk5_0),
    inference(csr,[status(thm)],[98,84]) ).

cnf(109,negated_conjecture,
    rsymProp(esk5_0,esk4_0),
    inference(spm,[status(thm)],[45,108,theory(equality)]) ).

cnf(110,negated_conjecture,
    ( ib = esk5_0
    | ia = esk5_0 ),
    inference(spm,[status(thm)],[42,108,theory(equality)]) ).

cnf(117,negated_conjecture,
    ( rsymProp(esk3_0,esk3_0)
    | esk3_0 = ia ),
    inference(spm,[status(thm)],[56,106,theory(equality)]) ).

cnf(118,negated_conjecture,
    ( esk4_0 = ia
    | esk3_0 = esk4_0
    | esk3_0 = ia ),
    inference(spm,[status(thm)],[102,106,theory(equality)]) ).

cnf(119,negated_conjecture,
    ~ rsymProp(esk3_0,esk5_0),
    inference(csr,[status(thm)],[99,93]) ).

cnf(121,negated_conjecture,
    ( esk4_0 = ia
    | esk5_0 = esk4_0
    | esk5_0 = ia ),
    inference(spm,[status(thm)],[102,110,theory(equality)]) ).

cnf(122,negated_conjecture,
    ( esk3_0 = ia
    | esk5_0 = esk3_0
    | esk5_0 = ia ),
    inference(spm,[status(thm)],[106,110,theory(equality)]) ).

cnf(132,negated_conjecture,
    ( rsymProp(esk3_0,esk5_0)
    | esk3_0 = ia
    | esk4_0 = ia ),
    inference(spm,[status(thm)],[108,118,theory(equality)]) ).

cnf(135,negated_conjecture,
    ( esk3_0 = ia
    | esk4_0 = ia ),
    inference(sr,[status(thm)],[132,119,theory(equality)]) ).

cnf(136,negated_conjecture,
    ( rsymProp(esk3_0,ia)
    | esk3_0 = ia ),
    inference(spm,[status(thm)],[100,135,theory(equality)]) ).

cnf(146,negated_conjecture,
    ( esk5_0 = ia
    | esk4_0 = ia
    | ~ rsymProp(esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[119,121,theory(equality)]) ).

cnf(148,negated_conjecture,
    ( esk5_0 = ia
    | esk4_0 = ia
    | $false ),
    inference(rw,[status(thm)],[146,100,theory(equality)]) ).

cnf(149,negated_conjecture,
    ( esk5_0 = ia
    | esk4_0 = ia ),
    inference(cn,[status(thm)],[148,theory(equality)]) ).

cnf(152,negated_conjecture,
    ( esk4_0 = ia
    | ~ rsymProp(esk3_0,ia) ),
    inference(spm,[status(thm)],[119,149,theory(equality)]) ).

cnf(166,negated_conjecture,
    ( esk5_0 = ia
    | esk3_0 = ia
    | ~ rsymProp(esk3_0,esk3_0) ),
    inference(spm,[status(thm)],[119,122,theory(equality)]) ).

cnf(176,negated_conjecture,
    ( esk5_0 = ia
    | esk3_0 = ia ),
    inference(csr,[status(thm)],[166,117]) ).

cnf(179,negated_conjecture,
    ( esk3_0 = ia
    | ~ rsymProp(esk3_0,ia) ),
    inference(spm,[status(thm)],[119,176,theory(equality)]) ).

cnf(191,negated_conjecture,
    esk3_0 = ia,
    inference(csr,[status(thm)],[179,136]) ).

cnf(194,negated_conjecture,
    ~ rsymProp(ia,esk5_0),
    inference(rw,[status(thm)],[119,191,theory(equality)]) ).

cnf(198,negated_conjecture,
    ( esk4_0 = ia
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[152,191,theory(equality)]),58,theory(equality)]) ).

cnf(199,negated_conjecture,
    esk4_0 = ia,
    inference(cn,[status(thm)],[198,theory(equality)]) ).

cnf(216,negated_conjecture,
    rsymProp(esk5_0,ia),
    inference(rw,[status(thm)],[109,199,theory(equality)]) ).

cnf(232,negated_conjecture,
    rsymProp(ia,esk5_0),
    inference(spm,[status(thm)],[45,216,theory(equality)]) ).

cnf(233,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[232,194,theory(equality)]) ).

cnf(234,negated_conjecture,
    $false,
    233,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS140+1.p
% --creating new selector for []
% -running prover on /tmp/tmpUvzb-7/sel_KRS140+1.p_1 with time limit 29
% -prover status Theorem
% Problem KRS140+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS140+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS140+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
% 
%------------------------------------------------------------------------------