TSTP Solution File: KRS142+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : KRS142+1 : TPTP v5.0.0. Released v3.1.0.
% 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 : Sat Dec 25 13:02:30 EST 2010

% Result   : Theorem 0.17s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    4
% Syntax   : Number of formulae    :  124 (  12 unt;   0 def)
%            Number of atoms       :  604 (  44 equ)
%            Maximal formula atoms :   96 (   4 avg)
%            Number of connectives :  720 ( 240   ~; 402   |;  62   &)
%                                         (   5 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :  108 (  34 sgn  48   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(2,conjecture,
    ( ! [X3] :
        ( cowlThing(X3)
        & ~ cowlNothing(X3) )
    & ! [X3] :
        ( xsd_string(X3)
      <=> ~ xsd_integer(X3) )
    & ! [X3] :
        ( cc(X3)
       => ? [X4] : rp(X3,X4) )
    & ! [X3] :
        ( cc(X3)
       => ! [X4,X5] :
            ( ( rp(X3,X4)
              & rp(X3,X5) )
           => X4 = X5 ) ) ),
    file('/tmp/tmphFb4jr/sel_KRS142+1.p_1',the_axiom) ).

fof(4,axiom,
    ! [X3] :
      ( cc(X3)
     => ( ? [X4] : rp(X3,X4)
        & ! [X4,X5] :
            ( ( rp(X3,X4)
              & rp(X3,X5) )
           => X4 = X5 ) ) ),
    file('/tmp/tmphFb4jr/sel_KRS142+1.p_1',axiom_2) ).

fof(6,axiom,
    ! [X3] :
      ( cowlThing(X3)
      & ~ cowlNothing(X3) ),
    file('/tmp/tmphFb4jr/sel_KRS142+1.p_1',axiom_0) ).

fof(7,axiom,
    ! [X3] :
      ( xsd_string(X3)
    <=> ~ xsd_integer(X3) ),
    file('/tmp/tmphFb4jr/sel_KRS142+1.p_1',axiom_1) ).

fof(12,negated_conjecture,
    ~ ( ! [X3] :
          ( cowlThing(X3)
          & ~ cowlNothing(X3) )
      & ! [X3] :
          ( xsd_string(X3)
        <=> ~ xsd_integer(X3) )
      & ! [X3] :
          ( cc(X3)
         => ? [X4] : rp(X3,X4) )
      & ! [X3] :
          ( cc(X3)
         => ! [X4,X5] :
              ( ( rp(X3,X4)
                & rp(X3,X5) )
             => X4 = X5 ) ) ),
    inference(assume_negation,[status(cth)],[2]) ).

fof(13,negated_conjecture,
    ~ ( ! [X3] :
          ( cowlThing(X3)
          & ~ cowlNothing(X3) )
      & ! [X3] :
          ( xsd_string(X3)
        <=> ~ xsd_integer(X3) )
      & ! [X3] :
          ( cc(X3)
         => ? [X4] : rp(X3,X4) )
      & ! [X3] :
          ( cc(X3)
         => ! [X4,X5] :
              ( ( rp(X3,X4)
                & rp(X3,X5) )
             => X4 = X5 ) ) ),
    inference(fof_simplification,[status(thm)],[12,theory(equality)]) ).

fof(14,plain,
    ! [X3] :
      ( cowlThing(X3)
      & ~ cowlNothing(X3) ),
    inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).

fof(15,plain,
    ! [X3] :
      ( xsd_string(X3)
    <=> ~ xsd_integer(X3) ),
    inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).

fof(19,negated_conjecture,
    ( ? [X3] :
        ( ~ cowlThing(X3)
        | cowlNothing(X3) )
    | ? [X3] :
        ( ( ~ xsd_string(X3)
          | xsd_integer(X3) )
        & ( xsd_string(X3)
          | ~ xsd_integer(X3) ) )
    | ? [X3] :
        ( cc(X3)
        & ! [X4] : ~ rp(X3,X4) )
    | ? [X3] :
        ( cc(X3)
        & ? [X4,X5] :
            ( rp(X3,X4)
            & rp(X3,X5)
            & X4 != X5 ) ) ),
    inference(fof_nnf,[status(thm)],[13]) ).

fof(20,negated_conjecture,
    ( ? [X6] :
        ( ~ cowlThing(X6)
        | cowlNothing(X6) )
    | ? [X7] :
        ( ( ~ xsd_string(X7)
          | xsd_integer(X7) )
        & ( xsd_string(X7)
          | ~ xsd_integer(X7) ) )
    | ? [X8] :
        ( cc(X8)
        & ! [X9] : ~ rp(X8,X9) )
    | ? [X10] :
        ( cc(X10)
        & ? [X11,X12] :
            ( rp(X10,X11)
            & rp(X10,X12)
            & X11 != X12 ) ) ),
    inference(variable_rename,[status(thm)],[19]) ).

fof(21,negated_conjecture,
    ( ~ cowlThing(esk1_0)
    | cowlNothing(esk1_0)
    | ( ( ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0) )
      & ( xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0) ) )
    | ( cc(esk3_0)
      & ! [X9] : ~ rp(esk3_0,X9) )
    | ( cc(esk4_0)
      & rp(esk4_0,esk5_0)
      & rp(esk4_0,esk6_0)
      & esk5_0 != esk6_0 ) ),
    inference(skolemize,[status(esa)],[20]) ).

fof(22,negated_conjecture,
    ! [X9] :
      ( ( ~ rp(esk3_0,X9)
        & cc(esk3_0) )
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ( ( ~ xsd_string(esk2_0)
          | xsd_integer(esk2_0) )
        & ( xsd_string(esk2_0)
          | ~ xsd_integer(esk2_0) ) )
      | ( cc(esk4_0)
        & rp(esk4_0,esk5_0)
        & rp(esk4_0,esk6_0)
        & esk5_0 != esk6_0 ) ),
    inference(shift_quantors,[status(thm)],[21]) ).

fof(23,negated_conjecture,
    ! [X9] :
      ( ( cc(esk4_0)
        | ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | ~ rp(esk3_0,X9) )
      & ( rp(esk4_0,esk5_0)
        | ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | ~ rp(esk3_0,X9) )
      & ( rp(esk4_0,esk6_0)
        | ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | ~ rp(esk3_0,X9) )
      & ( esk5_0 != esk6_0
        | ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | ~ rp(esk3_0,X9) )
      & ( cc(esk4_0)
        | xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | ~ rp(esk3_0,X9) )
      & ( rp(esk4_0,esk5_0)
        | xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | ~ rp(esk3_0,X9) )
      & ( rp(esk4_0,esk6_0)
        | xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | ~ rp(esk3_0,X9) )
      & ( esk5_0 != esk6_0
        | xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | ~ rp(esk3_0,X9) )
      & ( cc(esk4_0)
        | ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | cc(esk3_0) )
      & ( rp(esk4_0,esk5_0)
        | ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | cc(esk3_0) )
      & ( rp(esk4_0,esk6_0)
        | ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | cc(esk3_0) )
      & ( esk5_0 != esk6_0
        | ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | cc(esk3_0) )
      & ( cc(esk4_0)
        | xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | cc(esk3_0) )
      & ( rp(esk4_0,esk5_0)
        | xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | cc(esk3_0) )
      & ( rp(esk4_0,esk6_0)
        | xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | cc(esk3_0) )
      & ( esk5_0 != esk6_0
        | xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | cc(esk3_0) ) ),
    inference(distribute,[status(thm)],[22]) ).

cnf(24,negated_conjecture,
    ( cc(esk3_0)
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | esk5_0 != esk6_0 ),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(25,negated_conjecture,
    ( cc(esk3_0)
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rp(esk4_0,esk6_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(26,negated_conjecture,
    ( cc(esk3_0)
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rp(esk4_0,esk5_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(27,negated_conjecture,
    ( cc(esk3_0)
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | cc(esk4_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(28,negated_conjecture,
    ( cc(esk3_0)
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0)
    | esk5_0 != esk6_0 ),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(29,negated_conjecture,
    ( cc(esk3_0)
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rp(esk4_0,esk6_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(30,negated_conjecture,
    ( cc(esk3_0)
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rp(esk4_0,esk5_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(31,negated_conjecture,
    ( cc(esk3_0)
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | cc(esk4_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(32,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | ~ rp(esk3_0,X1)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | esk5_0 != esk6_0 ),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(33,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rp(esk4_0,esk6_0)
    | ~ rp(esk3_0,X1)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(34,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rp(esk4_0,esk5_0)
    | ~ rp(esk3_0,X1)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(35,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | cc(esk4_0)
    | ~ rp(esk3_0,X1)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(36,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | ~ rp(esk3_0,X1)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0)
    | esk5_0 != esk6_0 ),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(37,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rp(esk4_0,esk6_0)
    | ~ rp(esk3_0,X1)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(38,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rp(esk4_0,esk5_0)
    | ~ rp(esk3_0,X1)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[23]) ).

cnf(39,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | cc(esk4_0)
    | ~ rp(esk3_0,X1)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[23]) ).

fof(43,plain,
    ! [X3] :
      ( ~ cc(X3)
      | ( ? [X4] : rp(X3,X4)
        & ! [X4,X5] :
            ( ~ rp(X3,X4)
            | ~ rp(X3,X5)
            | X4 = X5 ) ) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(44,plain,
    ! [X6] :
      ( ~ cc(X6)
      | ( ? [X7] : rp(X6,X7)
        & ! [X8,X9] :
            ( ~ rp(X6,X8)
            | ~ rp(X6,X9)
            | X8 = X9 ) ) ),
    inference(variable_rename,[status(thm)],[43]) ).

fof(45,plain,
    ! [X6] :
      ( ~ cc(X6)
      | ( rp(X6,esk7_1(X6))
        & ! [X8,X9] :
            ( ~ rp(X6,X8)
            | ~ rp(X6,X9)
            | X8 = X9 ) ) ),
    inference(skolemize,[status(esa)],[44]) ).

fof(46,plain,
    ! [X6,X8,X9] :
      ( ( ( ~ rp(X6,X8)
          | ~ rp(X6,X9)
          | X8 = X9 )
        & rp(X6,esk7_1(X6)) )
      | ~ cc(X6) ),
    inference(shift_quantors,[status(thm)],[45]) ).

fof(47,plain,
    ! [X6,X8,X9] :
      ( ( ~ rp(X6,X8)
        | ~ rp(X6,X9)
        | X8 = X9
        | ~ cc(X6) )
      & ( rp(X6,esk7_1(X6))
        | ~ cc(X6) ) ),
    inference(distribute,[status(thm)],[46]) ).

cnf(48,plain,
    ( rp(X1,esk7_1(X1))
    | ~ cc(X1) ),
    inference(split_conjunct,[status(thm)],[47]) ).

cnf(49,plain,
    ( X2 = X3
    | ~ cc(X1)
    | ~ rp(X1,X3)
    | ~ rp(X1,X2) ),
    inference(split_conjunct,[status(thm)],[47]) ).

fof(53,plain,
    ! [X4] :
      ( cowlThing(X4)
      & ~ cowlNothing(X4) ),
    inference(variable_rename,[status(thm)],[14]) ).

cnf(54,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[53]) ).

cnf(55,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[53]) ).

fof(56,plain,
    ! [X3] :
      ( ( ~ xsd_string(X3)
        | ~ xsd_integer(X3) )
      & ( xsd_integer(X3)
        | xsd_string(X3) ) ),
    inference(fof_nnf,[status(thm)],[15]) ).

fof(57,plain,
    ! [X4] :
      ( ( ~ xsd_string(X4)
        | ~ xsd_integer(X4) )
      & ( xsd_integer(X4)
        | xsd_string(X4) ) ),
    inference(variable_rename,[status(thm)],[56]) ).

cnf(58,plain,
    ( xsd_string(X1)
    | xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[57]) ).

cnf(59,plain,
    ( ~ xsd_integer(X1)
    | ~ xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[57]) ).

cnf(72,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | cc(esk3_0)
    | cc(esk4_0)
    | $false
    | ~ xsd_string(esk2_0) ),
    inference(rw,[status(thm)],[31,55,theory(equality)]),
    [unfolding] ).

cnf(73,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | cc(esk3_0)
    | cc(esk4_0)
    | ~ xsd_integer(esk2_0)
    | $false ),
    inference(rw,[status(thm)],[27,55,theory(equality)]),
    [unfolding] ).

cnf(74,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | cc(esk3_0)
    | rp(esk4_0,esk5_0)
    | $false
    | ~ xsd_string(esk2_0) ),
    inference(rw,[status(thm)],[30,55,theory(equality)]),
    [unfolding] ).

cnf(75,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | cc(esk3_0)
    | rp(esk4_0,esk6_0)
    | $false
    | ~ xsd_string(esk2_0) ),
    inference(rw,[status(thm)],[29,55,theory(equality)]),
    [unfolding] ).

cnf(76,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | cc(esk3_0)
    | rp(esk4_0,esk5_0)
    | ~ xsd_integer(esk2_0)
    | $false ),
    inference(rw,[status(thm)],[26,55,theory(equality)]),
    [unfolding] ).

cnf(77,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | cc(esk3_0)
    | rp(esk4_0,esk6_0)
    | ~ xsd_integer(esk2_0)
    | $false ),
    inference(rw,[status(thm)],[25,55,theory(equality)]),
    [unfolding] ).

cnf(78,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | cc(esk3_0)
    | esk6_0 != esk5_0
    | $false
    | ~ xsd_string(esk2_0) ),
    inference(rw,[status(thm)],[28,55,theory(equality)]),
    [unfolding] ).

cnf(79,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | cc(esk3_0)
    | esk6_0 != esk5_0
    | ~ xsd_integer(esk2_0)
    | $false ),
    inference(rw,[status(thm)],[24,55,theory(equality)]),
    [unfolding] ).

cnf(80,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | cc(esk4_0)
    | $false
    | ~ xsd_string(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(rw,[status(thm)],[39,55,theory(equality)]),
    [unfolding] ).

cnf(81,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | cc(esk4_0)
    | ~ xsd_integer(esk2_0)
    | $false
    | ~ rp(esk3_0,X1) ),
    inference(rw,[status(thm)],[35,55,theory(equality)]),
    [unfolding] ).

cnf(82,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | rp(esk4_0,esk5_0)
    | $false
    | ~ xsd_string(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(rw,[status(thm)],[38,55,theory(equality)]),
    [unfolding] ).

cnf(83,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | rp(esk4_0,esk6_0)
    | $false
    | ~ xsd_string(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(rw,[status(thm)],[37,55,theory(equality)]),
    [unfolding] ).

cnf(84,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rp(esk4_0,esk5_0)
    | ~ xsd_integer(esk2_0)
    | $false
    | ~ rp(esk3_0,X1) ),
    inference(rw,[status(thm)],[34,55,theory(equality)]),
    [unfolding] ).

cnf(85,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rp(esk4_0,esk6_0)
    | ~ xsd_integer(esk2_0)
    | $false
    | ~ rp(esk3_0,X1) ),
    inference(rw,[status(thm)],[33,55,theory(equality)]),
    [unfolding] ).

cnf(86,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | esk6_0 != esk5_0
    | $false
    | ~ xsd_string(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(rw,[status(thm)],[36,55,theory(equality)]),
    [unfolding] ).

cnf(87,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk6_0 != esk5_0
    | ~ xsd_integer(esk2_0)
    | $false
    | ~ rp(esk3_0,X1) ),
    inference(rw,[status(thm)],[32,55,theory(equality)]),
    [unfolding] ).

cnf(89,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cc(esk3_0)
    | cc(esk4_0)
    | ~ xsd_string(esk2_0) ),
    inference(sr,[status(thm)],[72,54,theory(equality)]) ).

cnf(90,negated_conjecture,
    ( cc(esk3_0)
    | cc(esk4_0)
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[89,58]) ).

cnf(91,negated_conjecture,
    ( xsd_string(esk2_0)
    | cc(esk3_0)
    | cc(esk4_0)
    | ~ xsd_integer(esk2_0) ),
    inference(sr,[status(thm)],[73,54,theory(equality)]) ).

cnf(92,negated_conjecture,
    ( cc(esk3_0)
    | cc(esk4_0)
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[91,58]) ).

cnf(93,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cc(esk3_0)
    | esk6_0 != esk5_0
    | ~ xsd_string(esk2_0) ),
    inference(sr,[status(thm)],[78,54,theory(equality)]) ).

cnf(94,negated_conjecture,
    ( cc(esk3_0)
    | xsd_integer(esk2_0)
    | esk6_0 != esk5_0 ),
    inference(csr,[status(thm)],[93,58]) ).

cnf(95,negated_conjecture,
    ( xsd_string(esk2_0)
    | cc(esk3_0)
    | esk6_0 != esk5_0
    | ~ xsd_integer(esk2_0) ),
    inference(sr,[status(thm)],[79,54,theory(equality)]) ).

cnf(96,negated_conjecture,
    ( cc(esk3_0)
    | xsd_string(esk2_0)
    | esk6_0 != esk5_0 ),
    inference(csr,[status(thm)],[95,58]) ).

cnf(97,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cc(esk3_0)
    | rp(esk4_0,esk5_0)
    | ~ xsd_string(esk2_0) ),
    inference(sr,[status(thm)],[74,54,theory(equality)]) ).

cnf(98,negated_conjecture,
    ( rp(esk4_0,esk5_0)
    | cc(esk3_0)
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[97,58]) ).

cnf(99,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cc(esk3_0)
    | rp(esk4_0,esk6_0)
    | ~ xsd_string(esk2_0) ),
    inference(sr,[status(thm)],[75,54,theory(equality)]) ).

cnf(100,negated_conjecture,
    ( rp(esk4_0,esk6_0)
    | cc(esk3_0)
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[99,58]) ).

cnf(101,negated_conjecture,
    ( xsd_string(esk2_0)
    | cc(esk3_0)
    | rp(esk4_0,esk5_0)
    | ~ xsd_integer(esk2_0) ),
    inference(sr,[status(thm)],[76,54,theory(equality)]) ).

cnf(102,negated_conjecture,
    ( rp(esk4_0,esk5_0)
    | cc(esk3_0)
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[101,58]) ).

cnf(103,negated_conjecture,
    ( xsd_string(esk2_0)
    | cc(esk3_0)
    | rp(esk4_0,esk6_0)
    | ~ xsd_integer(esk2_0) ),
    inference(sr,[status(thm)],[77,54,theory(equality)]) ).

cnf(104,negated_conjecture,
    ( rp(esk4_0,esk6_0)
    | cc(esk3_0)
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[103,58]) ).

cnf(105,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cc(esk4_0)
    | ~ xsd_string(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(sr,[status(thm)],[80,54,theory(equality)]) ).

cnf(106,negated_conjecture,
    ( cc(esk4_0)
    | xsd_integer(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(csr,[status(thm)],[105,58]) ).

cnf(107,negated_conjecture,
    ( cc(esk4_0)
    | xsd_integer(esk2_0)
    | ~ cc(esk3_0) ),
    inference(spm,[status(thm)],[106,48,theory(equality)]) ).

cnf(108,negated_conjecture,
    ( xsd_string(esk2_0)
    | cc(esk4_0)
    | ~ xsd_integer(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(sr,[status(thm)],[81,54,theory(equality)]) ).

cnf(109,negated_conjecture,
    ( cc(esk4_0)
    | xsd_string(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(csr,[status(thm)],[108,58]) ).

cnf(110,negated_conjecture,
    ( cc(esk4_0)
    | xsd_string(esk2_0)
    | ~ cc(esk3_0) ),
    inference(spm,[status(thm)],[109,48,theory(equality)]) ).

cnf(111,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk6_0 != esk5_0
    | ~ xsd_string(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(sr,[status(thm)],[86,54,theory(equality)]) ).

cnf(112,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk6_0 != esk5_0
    | ~ rp(esk3_0,X1) ),
    inference(csr,[status(thm)],[111,58]) ).

cnf(113,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk6_0 != esk5_0
    | ~ cc(esk3_0) ),
    inference(spm,[status(thm)],[112,48,theory(equality)]) ).

cnf(114,negated_conjecture,
    ( xsd_string(esk2_0)
    | esk6_0 != esk5_0
    | ~ xsd_integer(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(sr,[status(thm)],[87,54,theory(equality)]) ).

cnf(115,negated_conjecture,
    ( xsd_string(esk2_0)
    | esk6_0 != esk5_0
    | ~ rp(esk3_0,X1) ),
    inference(csr,[status(thm)],[114,58]) ).

cnf(116,negated_conjecture,
    ( xsd_string(esk2_0)
    | esk6_0 != esk5_0
    | ~ cc(esk3_0) ),
    inference(spm,[status(thm)],[115,48,theory(equality)]) ).

cnf(117,plain,
    ( X1 = esk7_1(X2)
    | ~ rp(X2,X1)
    | ~ cc(X2) ),
    inference(spm,[status(thm)],[49,48,theory(equality)]) ).

cnf(118,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rp(esk4_0,esk5_0)
    | ~ xsd_string(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(sr,[status(thm)],[82,54,theory(equality)]) ).

cnf(119,negated_conjecture,
    ( rp(esk4_0,esk5_0)
    | xsd_integer(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(csr,[status(thm)],[118,58]) ).

cnf(120,negated_conjecture,
    ( rp(esk4_0,esk5_0)
    | xsd_integer(esk2_0)
    | ~ cc(esk3_0) ),
    inference(spm,[status(thm)],[119,48,theory(equality)]) ).

cnf(121,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rp(esk4_0,esk6_0)
    | ~ xsd_string(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(sr,[status(thm)],[83,54,theory(equality)]) ).

cnf(122,negated_conjecture,
    ( rp(esk4_0,esk6_0)
    | xsd_integer(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(csr,[status(thm)],[121,58]) ).

cnf(123,negated_conjecture,
    ( rp(esk4_0,esk6_0)
    | xsd_integer(esk2_0)
    | ~ cc(esk3_0) ),
    inference(spm,[status(thm)],[122,48,theory(equality)]) ).

cnf(124,negated_conjecture,
    ( xsd_string(esk2_0)
    | rp(esk4_0,esk5_0)
    | ~ xsd_integer(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(sr,[status(thm)],[84,54,theory(equality)]) ).

cnf(125,negated_conjecture,
    ( rp(esk4_0,esk5_0)
    | xsd_string(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(csr,[status(thm)],[124,58]) ).

cnf(126,negated_conjecture,
    ( rp(esk4_0,esk5_0)
    | xsd_string(esk2_0)
    | ~ cc(esk3_0) ),
    inference(spm,[status(thm)],[125,48,theory(equality)]) ).

cnf(127,negated_conjecture,
    ( xsd_string(esk2_0)
    | rp(esk4_0,esk6_0)
    | ~ xsd_integer(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(sr,[status(thm)],[85,54,theory(equality)]) ).

cnf(128,negated_conjecture,
    ( rp(esk4_0,esk6_0)
    | xsd_string(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(csr,[status(thm)],[127,58]) ).

cnf(129,negated_conjecture,
    ( rp(esk4_0,esk6_0)
    | xsd_string(esk2_0)
    | ~ cc(esk3_0) ),
    inference(spm,[status(thm)],[128,48,theory(equality)]) ).

cnf(130,negated_conjecture,
    ( cc(esk4_0)
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[107,90]) ).

cnf(131,negated_conjecture,
    ( cc(esk4_0)
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[110,92]) ).

cnf(132,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk6_0 != esk5_0 ),
    inference(csr,[status(thm)],[113,94]) ).

cnf(133,negated_conjecture,
    ( ~ xsd_string(esk2_0)
    | esk6_0 != esk5_0 ),
    inference(spm,[status(thm)],[59,132,theory(equality)]) ).

cnf(134,negated_conjecture,
    ( xsd_string(esk2_0)
    | esk6_0 != esk5_0 ),
    inference(csr,[status(thm)],[116,96]) ).

cnf(135,negated_conjecture,
    esk6_0 != esk5_0,
    inference(csr,[status(thm)],[133,134]) ).

cnf(136,negated_conjecture,
    ( rp(esk4_0,esk5_0)
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[120,98]) ).

cnf(137,negated_conjecture,
    ( rp(esk4_0,esk5_0)
    | ~ xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[59,136,theory(equality)]) ).

cnf(139,negated_conjecture,
    ( rp(esk4_0,esk6_0)
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[123,100]) ).

cnf(140,negated_conjecture,
    ( rp(esk4_0,esk6_0)
    | ~ xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[59,139,theory(equality)]) ).

cnf(142,negated_conjecture,
    ( rp(esk4_0,esk5_0)
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[126,102]) ).

cnf(143,negated_conjecture,
    rp(esk4_0,esk5_0),
    inference(csr,[status(thm)],[142,137]) ).

cnf(145,negated_conjecture,
    ( esk5_0 = esk7_1(esk4_0)
    | ~ cc(esk4_0) ),
    inference(spm,[status(thm)],[117,143,theory(equality)]) ).

cnf(150,negated_conjecture,
    ( rp(esk4_0,esk6_0)
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[129,104]) ).

cnf(151,negated_conjecture,
    rp(esk4_0,esk6_0),
    inference(csr,[status(thm)],[150,140]) ).

cnf(153,negated_conjecture,
    ( esk6_0 = esk7_1(esk4_0)
    | ~ cc(esk4_0) ),
    inference(spm,[status(thm)],[117,151,theory(equality)]) ).

cnf(163,negated_conjecture,
    ( esk6_0 = esk5_0
    | ~ cc(esk4_0) ),
    inference(spm,[status(thm)],[145,153,theory(equality)]) ).

cnf(165,negated_conjecture,
    ~ cc(esk4_0),
    inference(sr,[status(thm)],[163,135,theory(equality)]) ).

cnf(166,negated_conjecture,
    xsd_integer(esk2_0),
    inference(sr,[status(thm)],[130,165,theory(equality)]) ).

cnf(167,negated_conjecture,
    xsd_string(esk2_0),
    inference(sr,[status(thm)],[131,165,theory(equality)]) ).

cnf(168,negated_conjecture,
    ~ xsd_string(esk2_0),
    inference(spm,[status(thm)],[59,166,theory(equality)]) ).

cnf(171,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[168,167,theory(equality)]) ).

cnf(172,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[171,theory(equality)]) ).

cnf(173,negated_conjecture,
    $false,
    172,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS142+1.p
% --creating new selector for []
% -running prover on /tmp/tmphFb4jr/sel_KRS142+1.p_1 with time limit 29
% -prover status Theorem
% Problem KRS142+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS142+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS142+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
% 
%------------------------------------------------------------------------------