TSTP Solution File: KRS143+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : KRS143+1 : TPTP v5.0.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art02.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 13:02:34 EST 2010

% Result   : Theorem 0.24s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   93 (  11 unt;   0 def)
%            Number of atoms       :  378 (  33 equ)
%            Maximal formula atoms :   46 (   4 avg)
%            Number of connectives :  447 ( 162   ~; 227   |;  44   &)
%                                         (   5 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   99 (  30 sgn  43   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1] :
      ( cc(X1)
     => ! [X2,X3] :
          ( ( rp(X1,X2)
            & rp(X1,X3) )
         => X2 = X3 ) ),
    file('/tmp/tmpDVW1ov/sel_KRS143+1.p_1',axiom_3) ).

fof(3,conjecture,
    ( ! [X1] :
        ( cowlThing(X1)
        & ~ cowlNothing(X1) )
    & ! [X1] :
        ( xsd_string(X1)
      <=> ~ xsd_integer(X1) )
    & ! [X1] :
        ( cc(X1)
       => ( ? [X2] : rp(X1,X2)
          & ! [X2,X3] :
              ( ( rp(X1,X2)
                & rp(X1,X3) )
             => X2 = X3 ) ) ) ),
    file('/tmp/tmpDVW1ov/sel_KRS143+1.p_1',the_axiom) ).

fof(5,axiom,
    ! [X1] :
      ( cc(X1)
     => ? [X2] : rp(X1,X2) ),
    file('/tmp/tmpDVW1ov/sel_KRS143+1.p_1',axiom_2) ).

fof(7,axiom,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    file('/tmp/tmpDVW1ov/sel_KRS143+1.p_1',axiom_0) ).

fof(8,axiom,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    file('/tmp/tmpDVW1ov/sel_KRS143+1.p_1',axiom_1) ).

fof(13,negated_conjecture,
    ~ ( ! [X1] :
          ( cowlThing(X1)
          & ~ cowlNothing(X1) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & ! [X1] :
          ( cc(X1)
         => ( ? [X2] : rp(X1,X2)
            & ! [X2,X3] :
                ( ( rp(X1,X2)
                  & rp(X1,X3) )
               => X2 = X3 ) ) ) ),
    inference(assume_negation,[status(cth)],[3]) ).

fof(14,negated_conjecture,
    ~ ( ! [X1] :
          ( cowlThing(X1)
          & ~ cowlNothing(X1) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & ! [X1] :
          ( cc(X1)
         => ( ? [X2] : rp(X1,X2)
            & ! [X2,X3] :
                ( ( rp(X1,X2)
                  & rp(X1,X3) )
               => X2 = X3 ) ) ) ),
    inference(fof_simplification,[status(thm)],[13,theory(equality)]) ).

fof(15,plain,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).

fof(16,plain,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).

fof(17,plain,
    ! [X1] :
      ( ~ cc(X1)
      | ! [X2,X3] :
          ( ~ rp(X1,X2)
          | ~ rp(X1,X3)
          | X2 = X3 ) ),
    inference(fof_nnf,[status(thm)],[1]) ).

fof(18,plain,
    ! [X4] :
      ( ~ cc(X4)
      | ! [X5,X6] :
          ( ~ rp(X4,X5)
          | ~ rp(X4,X6)
          | X5 = X6 ) ),
    inference(variable_rename,[status(thm)],[17]) ).

fof(19,plain,
    ! [X4,X5,X6] :
      ( ~ rp(X4,X5)
      | ~ rp(X4,X6)
      | X5 = X6
      | ~ cc(X4) ),
    inference(shift_quantors,[status(thm)],[18]) ).

cnf(20,plain,
    ( X2 = X3
    | ~ cc(X1)
    | ~ rp(X1,X3)
    | ~ rp(X1,X2) ),
    inference(split_conjunct,[status(thm)],[19]) ).

fof(24,negated_conjecture,
    ( ? [X1] :
        ( ~ cowlThing(X1)
        | cowlNothing(X1) )
    | ? [X1] :
        ( ( ~ xsd_string(X1)
          | xsd_integer(X1) )
        & ( xsd_string(X1)
          | ~ xsd_integer(X1) ) )
    | ? [X1] :
        ( cc(X1)
        & ( ! [X2] : ~ rp(X1,X2)
          | ? [X2,X3] :
              ( rp(X1,X2)
              & rp(X1,X3)
              & X2 != X3 ) ) ) ),
    inference(fof_nnf,[status(thm)],[14]) ).

fof(25,negated_conjecture,
    ( ? [X4] :
        ( ~ cowlThing(X4)
        | cowlNothing(X4) )
    | ? [X5] :
        ( ( ~ xsd_string(X5)
          | xsd_integer(X5) )
        & ( xsd_string(X5)
          | ~ xsd_integer(X5) ) )
    | ? [X6] :
        ( cc(X6)
        & ( ! [X7] : ~ rp(X6,X7)
          | ? [X8,X9] :
              ( rp(X6,X8)
              & rp(X6,X9)
              & X8 != X9 ) ) ) ),
    inference(variable_rename,[status(thm)],[24]) ).

fof(26,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)
      & ( ! [X7] : ~ rp(esk3_0,X7)
        | ( rp(esk3_0,esk4_0)
          & rp(esk3_0,esk5_0)
          & esk4_0 != esk5_0 ) ) ) ),
    inference(skolemize,[status(esa)],[25]) ).

fof(27,negated_conjecture,
    ! [X7] :
      ( ( ( ~ rp(esk3_0,X7)
          | ( rp(esk3_0,esk4_0)
            & rp(esk3_0,esk5_0)
            & esk4_0 != esk5_0 ) )
        & 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) ) ) ),
    inference(shift_quantors,[status(thm)],[26]) ).

fof(28,negated_conjecture,
    ! [X7] :
      ( ( ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | rp(esk3_0,esk4_0)
        | ~ rp(esk3_0,X7) )
      & ( xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | rp(esk3_0,esk4_0)
        | ~ rp(esk3_0,X7) )
      & ( ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | rp(esk3_0,esk5_0)
        | ~ rp(esk3_0,X7) )
      & ( xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | rp(esk3_0,esk5_0)
        | ~ rp(esk3_0,X7) )
      & ( ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | esk4_0 != esk5_0
        | ~ rp(esk3_0,X7) )
      & ( xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | esk4_0 != esk5_0
        | ~ rp(esk3_0,X7) )
      & ( ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | cc(esk3_0) )
      & ( xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | cc(esk3_0) ) ),
    inference(distribute,[status(thm)],[27]) ).

cnf(29,negated_conjecture,
    ( cc(esk3_0)
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[28]) ).

cnf(30,negated_conjecture,
    ( cc(esk3_0)
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[28]) ).

cnf(31,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | ~ rp(esk3_0,X1)
    | esk4_0 != esk5_0
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[28]) ).

cnf(32,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | ~ rp(esk3_0,X1)
    | esk4_0 != esk5_0
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[28]) ).

cnf(33,negated_conjecture,
    ( rp(esk3_0,esk5_0)
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | ~ rp(esk3_0,X1)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[28]) ).

cnf(34,negated_conjecture,
    ( rp(esk3_0,esk5_0)
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | ~ rp(esk3_0,X1)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[28]) ).

cnf(35,negated_conjecture,
    ( rp(esk3_0,esk4_0)
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | ~ rp(esk3_0,X1)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[28]) ).

cnf(36,negated_conjecture,
    ( rp(esk3_0,esk4_0)
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | ~ rp(esk3_0,X1)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[28]) ).

fof(40,plain,
    ! [X1] :
      ( ~ cc(X1)
      | ? [X2] : rp(X1,X2) ),
    inference(fof_nnf,[status(thm)],[5]) ).

fof(41,plain,
    ! [X3] :
      ( ~ cc(X3)
      | ? [X4] : rp(X3,X4) ),
    inference(variable_rename,[status(thm)],[40]) ).

fof(42,plain,
    ! [X3] :
      ( ~ cc(X3)
      | rp(X3,esk6_1(X3)) ),
    inference(skolemize,[status(esa)],[41]) ).

cnf(43,plain,
    ( rp(X1,esk6_1(X1))
    | ~ cc(X1) ),
    inference(split_conjunct,[status(thm)],[42]) ).

fof(47,plain,
    ! [X2] :
      ( cowlThing(X2)
      & ~ cowlNothing(X2) ),
    inference(variable_rename,[status(thm)],[15]) ).

cnf(48,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[47]) ).

cnf(49,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[47]) ).

fof(50,plain,
    ! [X1] :
      ( ( ~ xsd_string(X1)
        | ~ xsd_integer(X1) )
      & ( xsd_integer(X1)
        | xsd_string(X1) ) ),
    inference(fof_nnf,[status(thm)],[16]) ).

fof(51,plain,
    ! [X2] :
      ( ( ~ xsd_string(X2)
        | ~ xsd_integer(X2) )
      & ( xsd_integer(X2)
        | xsd_string(X2) ) ),
    inference(variable_rename,[status(thm)],[50]) ).

cnf(52,plain,
    ( xsd_string(X1)
    | xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[51]) ).

cnf(53,plain,
    ( ~ xsd_integer(X1)
    | ~ xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[51]) ).

cnf(66,negated_conjecture,
    ( cc(esk3_0)
    | xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | $false
    | ~ xsd_string(esk2_0) ),
    inference(rw,[status(thm)],[30,49,theory(equality)]),
    [unfolding] ).

cnf(67,negated_conjecture,
    ( cc(esk3_0)
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | ~ xsd_integer(esk2_0)
    | $false ),
    inference(rw,[status(thm)],[29,49,theory(equality)]),
    [unfolding] ).

cnf(68,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | rp(esk3_0,esk4_0)
    | $false
    | ~ xsd_string(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(rw,[status(thm)],[36,49,theory(equality)]),
    [unfolding] ).

cnf(69,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | rp(esk3_0,esk5_0)
    | $false
    | ~ xsd_string(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(rw,[status(thm)],[34,49,theory(equality)]),
    [unfolding] ).

cnf(70,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rp(esk3_0,esk4_0)
    | ~ xsd_integer(esk2_0)
    | $false
    | ~ rp(esk3_0,X1) ),
    inference(rw,[status(thm)],[35,49,theory(equality)]),
    [unfolding] ).

cnf(71,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rp(esk3_0,esk5_0)
    | ~ xsd_integer(esk2_0)
    | $false
    | ~ rp(esk3_0,X1) ),
    inference(rw,[status(thm)],[33,49,theory(equality)]),
    [unfolding] ).

cnf(72,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | esk5_0 != esk4_0
    | $false
    | ~ xsd_string(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(rw,[status(thm)],[32,49,theory(equality)]),
    [unfolding] ).

cnf(73,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk5_0 != esk4_0
    | ~ xsd_integer(esk2_0)
    | $false
    | ~ rp(esk3_0,X1) ),
    inference(rw,[status(thm)],[31,49,theory(equality)]),
    [unfolding] ).

cnf(75,negated_conjecture,
    ( cc(esk3_0)
    | xsd_integer(esk2_0)
    | ~ xsd_string(esk2_0) ),
    inference(sr,[status(thm)],[66,48,theory(equality)]) ).

cnf(76,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cc(esk3_0) ),
    inference(csr,[status(thm)],[75,52]) ).

cnf(77,negated_conjecture,
    ( cc(esk3_0)
    | xsd_string(esk2_0)
    | ~ xsd_integer(esk2_0) ),
    inference(sr,[status(thm)],[67,48,theory(equality)]) ).

cnf(78,negated_conjecture,
    ( xsd_string(esk2_0)
    | cc(esk3_0) ),
    inference(csr,[status(thm)],[77,52]) ).

cnf(79,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk5_0 != esk4_0
    | ~ xsd_string(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(sr,[status(thm)],[72,48,theory(equality)]) ).

cnf(80,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk5_0 != esk4_0
    | ~ rp(esk3_0,X1) ),
    inference(csr,[status(thm)],[79,52]) ).

cnf(81,negated_conjecture,
    ( xsd_string(esk2_0)
    | esk5_0 != esk4_0
    | ~ xsd_integer(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(sr,[status(thm)],[73,48,theory(equality)]) ).

cnf(82,negated_conjecture,
    ( xsd_string(esk2_0)
    | esk5_0 != esk4_0
    | ~ rp(esk3_0,X1) ),
    inference(csr,[status(thm)],[81,52]) ).

cnf(83,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rp(esk3_0,esk4_0)
    | ~ xsd_string(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(sr,[status(thm)],[68,48,theory(equality)]) ).

cnf(84,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rp(esk3_0,esk4_0)
    | ~ rp(esk3_0,X1) ),
    inference(csr,[status(thm)],[83,52]) ).

cnf(85,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rp(esk3_0,esk4_0)
    | ~ cc(esk3_0) ),
    inference(spm,[status(thm)],[84,43,theory(equality)]) ).

cnf(86,plain,
    ( X1 = esk6_1(X2)
    | ~ rp(X2,X1)
    | ~ cc(X2) ),
    inference(spm,[status(thm)],[20,43,theory(equality)]) ).

cnf(87,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rp(esk3_0,esk5_0)
    | ~ xsd_string(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(sr,[status(thm)],[69,48,theory(equality)]) ).

cnf(88,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rp(esk3_0,esk5_0)
    | ~ rp(esk3_0,X1) ),
    inference(csr,[status(thm)],[87,52]) ).

cnf(89,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rp(esk3_0,esk5_0)
    | ~ cc(esk3_0) ),
    inference(spm,[status(thm)],[88,43,theory(equality)]) ).

cnf(90,negated_conjecture,
    ( xsd_string(esk2_0)
    | rp(esk3_0,esk4_0)
    | ~ xsd_integer(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(sr,[status(thm)],[70,48,theory(equality)]) ).

cnf(91,negated_conjecture,
    ( xsd_string(esk2_0)
    | rp(esk3_0,esk4_0)
    | ~ rp(esk3_0,X1) ),
    inference(csr,[status(thm)],[90,52]) ).

cnf(92,negated_conjecture,
    ( xsd_string(esk2_0)
    | rp(esk3_0,esk4_0)
    | ~ cc(esk3_0) ),
    inference(spm,[status(thm)],[91,43,theory(equality)]) ).

cnf(93,negated_conjecture,
    ( xsd_string(esk2_0)
    | rp(esk3_0,esk5_0)
    | ~ xsd_integer(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(sr,[status(thm)],[71,48,theory(equality)]) ).

cnf(94,negated_conjecture,
    ( xsd_string(esk2_0)
    | rp(esk3_0,esk5_0)
    | ~ rp(esk3_0,X1) ),
    inference(csr,[status(thm)],[93,52]) ).

cnf(96,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rp(esk3_0,esk4_0) ),
    inference(csr,[status(thm)],[85,76]) ).

cnf(97,negated_conjecture,
    ( rp(esk3_0,esk4_0)
    | ~ xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[53,96,theory(equality)]) ).

cnf(98,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rp(esk3_0,esk5_0) ),
    inference(csr,[status(thm)],[89,76]) ).

cnf(99,negated_conjecture,
    ( rp(esk3_0,esk5_0)
    | ~ xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[53,98,theory(equality)]) ).

cnf(100,negated_conjecture,
    ( xsd_string(esk2_0)
    | rp(esk3_0,esk4_0) ),
    inference(csr,[status(thm)],[92,78]) ).

cnf(101,negated_conjecture,
    rp(esk3_0,esk4_0),
    inference(csr,[status(thm)],[100,97]) ).

cnf(102,negated_conjecture,
    ( X1 = esk4_0
    | ~ rp(esk3_0,X1)
    | ~ cc(esk3_0) ),
    inference(spm,[status(thm)],[20,101,theory(equality)]) ).

cnf(103,negated_conjecture,
    ( xsd_string(esk2_0)
    | rp(esk3_0,esk5_0) ),
    inference(spm,[status(thm)],[94,101,theory(equality)]) ).

cnf(104,negated_conjecture,
    ( esk4_0 = esk6_1(esk3_0)
    | ~ cc(esk3_0) ),
    inference(spm,[status(thm)],[86,101,theory(equality)]) ).

cnf(108,negated_conjecture,
    rp(esk3_0,esk5_0),
    inference(csr,[status(thm)],[103,99]) ).

cnf(110,negated_conjecture,
    ( esk5_0 = esk6_1(esk3_0)
    | ~ cc(esk3_0) ),
    inference(spm,[status(thm)],[86,108,theory(equality)]) ).

cnf(115,negated_conjecture,
    ( esk6_1(esk3_0) = esk4_0
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[104,78,theory(equality)]) ).

cnf(120,negated_conjecture,
    ( X1 = esk4_0
    | xsd_integer(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(spm,[status(thm)],[102,76,theory(equality)]) ).

cnf(125,negated_conjecture,
    ( esk6_1(esk3_0) = esk5_0
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[110,78,theory(equality)]) ).

cnf(126,negated_conjecture,
    ( esk5_0 = esk4_0
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[120,108,theory(equality)]) ).

cnf(128,negated_conjecture,
    ( esk5_0 = esk4_0
    | ~ xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[53,126,theory(equality)]) ).

cnf(136,negated_conjecture,
    ( esk5_0 = esk4_0
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[115,125,theory(equality)]) ).

cnf(138,negated_conjecture,
    esk5_0 = esk4_0,
    inference(csr,[status(thm)],[136,128]) ).

cnf(147,negated_conjecture,
    ( xsd_string(esk2_0)
    | $false
    | ~ rp(esk3_0,X1) ),
    inference(rw,[status(thm)],[82,138,theory(equality)]) ).

cnf(148,negated_conjecture,
    ( xsd_string(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(cn,[status(thm)],[147,theory(equality)]) ).

cnf(149,negated_conjecture,
    ( xsd_integer(esk2_0)
    | $false
    | ~ rp(esk3_0,X1) ),
    inference(rw,[status(thm)],[80,138,theory(equality)]) ).

cnf(150,negated_conjecture,
    ( xsd_integer(esk2_0)
    | ~ rp(esk3_0,X1) ),
    inference(cn,[status(thm)],[149,theory(equality)]) ).

cnf(151,negated_conjecture,
    xsd_string(esk2_0),
    inference(spm,[status(thm)],[148,101,theory(equality)]) ).

cnf(156,negated_conjecture,
    xsd_integer(esk2_0),
    inference(spm,[status(thm)],[150,101,theory(equality)]) ).

cnf(158,negated_conjecture,
    ~ xsd_string(esk2_0),
    inference(spm,[status(thm)],[53,156,theory(equality)]) ).

cnf(162,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[158,151,theory(equality)]) ).

cnf(163,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[162,theory(equality)]) ).

cnf(164,negated_conjecture,
    $false,
    163,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS143+1.p
% --creating new selector for []
% -running prover on /tmp/tmpDVW1ov/sel_KRS143+1.p_1 with time limit 29
% -prover status Theorem
% Problem KRS143+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS143+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS143+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
% 
%------------------------------------------------------------------------------