TSTP Solution File: KRS162+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : KRS162+1 : TPTP v5.0.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art06.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 13:03:58 EST 2010

% Result   : Theorem 0.32s
% Output   : CNFRefutation 0.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   61
%            Number of leaves      :    8
% Syntax   : Number of formulae    :  220 (  13 unt;   0 def)
%            Number of atoms       : 1251 ( 521 equ)
%            Maximal formula atoms :  128 (   5 avg)
%            Number of connectives : 1423 ( 392   ~; 879   |; 140   &)
%                                         (   5 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :  195 (   4 sgn  68   !;  46   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1,X2] :
      ( rp(X1,X2)
     => cA(X2) ),
    file('/tmp/tmpHbzjZw/sel_KRS162+1.p_1',axiom_2) ).

fof(2,axiom,
    ! [X1,X2] :
      ( rq(X1,X2)
     => cB(X2) ),
    file('/tmp/tmpHbzjZw/sel_KRS162+1.p_1',axiom_3) ).

fof(4,axiom,
    ! [X1,X2] :
      ( rp(X1,X2)
     => rr(X1,X2) ),
    file('/tmp/tmpHbzjZw/sel_KRS162+1.p_1',axiom_6) ).

fof(8,conjecture,
    ( ! [X1] :
        ( cowlThing(X1)
        & ~ cowlNothing(X1) )
    & ! [X1] :
        ( xsd_string(X1)
      <=> ~ xsd_integer(X1) )
    & ! [X1] :
        ( ( ? [X6,X7] :
              ( rp(X1,X6)
              & rp(X1,X7)
              & X6 != X7 )
          & ? [X6,X7,X8] :
              ( rq(X1,X6)
              & rq(X1,X7)
              & rq(X1,X8)
              & X6 != X7
              & X6 != X8
              & X7 != X8 ) )
       => ? [X6,X7,X8,X9,X10] :
            ( rr(X1,X6)
            & rr(X1,X7)
            & rr(X1,X8)
            & rr(X1,X9)
            & rr(X1,X10)
            & X6 != X7
            & X6 != X8
            & X6 != X9
            & X6 != X10
            & X7 != X8
            & X7 != X9
            & X7 != X10
            & X8 != X9
            & X8 != X10
            & X9 != X10 ) ) ),
    file('/tmp/tmpHbzjZw/sel_KRS162+1.p_1',the_axiom) ).

fof(11,axiom,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    file('/tmp/tmpHbzjZw/sel_KRS162+1.p_1',axiom_0) ).

fof(12,axiom,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    file('/tmp/tmpHbzjZw/sel_KRS162+1.p_1',axiom_1) ).

fof(14,axiom,
    ! [X1] :
      ~ ( cB(X1)
        & cA(X1) ),
    file('/tmp/tmpHbzjZw/sel_KRS162+1.p_1',axiom_4) ).

fof(15,axiom,
    ! [X1,X2] :
      ( rq(X1,X2)
     => rr(X1,X2) ),
    file('/tmp/tmpHbzjZw/sel_KRS162+1.p_1',axiom_5) ).

fof(21,negated_conjecture,
    ~ ( ! [X1] :
          ( cowlThing(X1)
          & ~ cowlNothing(X1) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & ! [X1] :
          ( ( ? [X6,X7] :
                ( rp(X1,X6)
                & rp(X1,X7)
                & X6 != X7 )
            & ? [X6,X7,X8] :
                ( rq(X1,X6)
                & rq(X1,X7)
                & rq(X1,X8)
                & X6 != X7
                & X6 != X8
                & X7 != X8 ) )
         => ? [X6,X7,X8,X9,X10] :
              ( rr(X1,X6)
              & rr(X1,X7)
              & rr(X1,X8)
              & rr(X1,X9)
              & rr(X1,X10)
              & X6 != X7
              & X6 != X8
              & X6 != X9
              & X6 != X10
              & X7 != X8
              & X7 != X9
              & X7 != X10
              & X8 != X9
              & X8 != X10
              & X9 != X10 ) ) ),
    inference(assume_negation,[status(cth)],[8]) ).

fof(22,negated_conjecture,
    ~ ( ! [X1] :
          ( cowlThing(X1)
          & ~ cowlNothing(X1) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & ! [X1] :
          ( ( ? [X6,X7] :
                ( rp(X1,X6)
                & rp(X1,X7)
                & X6 != X7 )
            & ? [X6,X7,X8] :
                ( rq(X1,X6)
                & rq(X1,X7)
                & rq(X1,X8)
                & X6 != X7
                & X6 != X8
                & X7 != X8 ) )
         => ? [X6,X7,X8,X9,X10] :
              ( rr(X1,X6)
              & rr(X1,X7)
              & rr(X1,X8)
              & rr(X1,X9)
              & rr(X1,X10)
              & X6 != X7
              & X6 != X8
              & X6 != X9
              & X6 != X10
              & X7 != X8
              & X7 != X9
              & X7 != X10
              & X8 != X9
              & X8 != X10
              & X9 != X10 ) ) ),
    inference(fof_simplification,[status(thm)],[21,theory(equality)]) ).

fof(23,plain,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).

fof(24,plain,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    inference(fof_simplification,[status(thm)],[12,theory(equality)]) ).

fof(25,plain,
    ! [X1,X2] :
      ( ~ rp(X1,X2)
      | cA(X2) ),
    inference(fof_nnf,[status(thm)],[1]) ).

fof(26,plain,
    ! [X3,X4] :
      ( ~ rp(X3,X4)
      | cA(X4) ),
    inference(variable_rename,[status(thm)],[25]) ).

cnf(27,plain,
    ( cA(X1)
    | ~ rp(X2,X1) ),
    inference(split_conjunct,[status(thm)],[26]) ).

fof(28,plain,
    ! [X1,X2] :
      ( ~ rq(X1,X2)
      | cB(X2) ),
    inference(fof_nnf,[status(thm)],[2]) ).

fof(29,plain,
    ! [X3,X4] :
      ( ~ rq(X3,X4)
      | cB(X4) ),
    inference(variable_rename,[status(thm)],[28]) ).

cnf(30,plain,
    ( cB(X1)
    | ~ rq(X2,X1) ),
    inference(split_conjunct,[status(thm)],[29]) ).

fof(34,plain,
    ! [X1,X2] :
      ( ~ rp(X1,X2)
      | rr(X1,X2) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(35,plain,
    ! [X3,X4] :
      ( ~ rp(X3,X4)
      | rr(X3,X4) ),
    inference(variable_rename,[status(thm)],[34]) ).

cnf(36,plain,
    ( rr(X1,X2)
    | ~ rp(X1,X2) ),
    inference(split_conjunct,[status(thm)],[35]) ).

fof(46,negated_conjecture,
    ( ? [X1] :
        ( ~ cowlThing(X1)
        | cowlNothing(X1) )
    | ? [X1] :
        ( ( ~ xsd_string(X1)
          | xsd_integer(X1) )
        & ( xsd_string(X1)
          | ~ xsd_integer(X1) ) )
    | ? [X1] :
        ( ? [X6,X7] :
            ( rp(X1,X6)
            & rp(X1,X7)
            & X6 != X7 )
        & ? [X6,X7,X8] :
            ( rq(X1,X6)
            & rq(X1,X7)
            & rq(X1,X8)
            & X6 != X7
            & X6 != X8
            & X7 != X8 )
        & ! [X6,X7,X8,X9,X10] :
            ( ~ rr(X1,X6)
            | ~ rr(X1,X7)
            | ~ rr(X1,X8)
            | ~ rr(X1,X9)
            | ~ rr(X1,X10)
            | X6 = X7
            | X6 = X8
            | X6 = X9
            | X6 = X10
            | X7 = X8
            | X7 = X9
            | X7 = X10
            | X8 = X9
            | X8 = X10
            | X9 = X10 ) ) ),
    inference(fof_nnf,[status(thm)],[22]) ).

fof(47,negated_conjecture,
    ( ? [X11] :
        ( ~ cowlThing(X11)
        | cowlNothing(X11) )
    | ? [X12] :
        ( ( ~ xsd_string(X12)
          | xsd_integer(X12) )
        & ( xsd_string(X12)
          | ~ xsd_integer(X12) ) )
    | ? [X13] :
        ( ? [X14,X15] :
            ( rp(X13,X14)
            & rp(X13,X15)
            & X14 != X15 )
        & ? [X16,X17,X18] :
            ( rq(X13,X16)
            & rq(X13,X17)
            & rq(X13,X18)
            & X16 != X17
            & X16 != X18
            & X17 != X18 )
        & ! [X19,X20,X21,X22,X23] :
            ( ~ rr(X13,X19)
            | ~ rr(X13,X20)
            | ~ rr(X13,X21)
            | ~ rr(X13,X22)
            | ~ rr(X13,X23)
            | X19 = X20
            | X19 = X21
            | X19 = X22
            | X19 = X23
            | X20 = X21
            | X20 = X22
            | X20 = X23
            | X21 = X22
            | X21 = X23
            | X22 = X23 ) ) ),
    inference(variable_rename,[status(thm)],[46]) ).

fof(48,negated_conjecture,
    ( ~ cowlThing(esk1_0)
    | cowlNothing(esk1_0)
    | ( ( ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0) )
      & ( xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0) ) )
    | ( rp(esk3_0,esk4_0)
      & rp(esk3_0,esk5_0)
      & esk4_0 != esk5_0
      & rq(esk3_0,esk6_0)
      & rq(esk3_0,esk7_0)
      & rq(esk3_0,esk8_0)
      & esk6_0 != esk7_0
      & esk6_0 != esk8_0
      & esk7_0 != esk8_0
      & ! [X19,X20,X21,X22,X23] :
          ( ~ rr(esk3_0,X19)
          | ~ rr(esk3_0,X20)
          | ~ rr(esk3_0,X21)
          | ~ rr(esk3_0,X22)
          | ~ rr(esk3_0,X23)
          | X19 = X20
          | X19 = X21
          | X19 = X22
          | X19 = X23
          | X20 = X21
          | X20 = X22
          | X20 = X23
          | X21 = X22
          | X21 = X23
          | X22 = X23 ) ) ),
    inference(skolemize,[status(esa)],[47]) ).

fof(49,negated_conjecture,
    ! [X19,X20,X21,X22,X23] :
      ( ( ( ~ rr(esk3_0,X19)
          | ~ rr(esk3_0,X20)
          | ~ rr(esk3_0,X21)
          | ~ rr(esk3_0,X22)
          | ~ rr(esk3_0,X23)
          | X19 = X20
          | X19 = X21
          | X19 = X22
          | X19 = X23
          | X20 = X21
          | X20 = X22
          | X20 = X23
          | X21 = X22
          | X21 = X23
          | X22 = X23 )
        & rp(esk3_0,esk4_0)
        & rp(esk3_0,esk5_0)
        & esk4_0 != esk5_0
        & rq(esk3_0,esk6_0)
        & rq(esk3_0,esk7_0)
        & rq(esk3_0,esk8_0)
        & esk6_0 != esk7_0
        & esk6_0 != esk8_0
        & esk7_0 != esk8_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)],[48]) ).

fof(50,negated_conjecture,
    ! [X19,X20,X21,X22,X23] :
      ( ( ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | ~ rr(esk3_0,X19)
        | ~ rr(esk3_0,X20)
        | ~ rr(esk3_0,X21)
        | ~ rr(esk3_0,X22)
        | ~ rr(esk3_0,X23)
        | X19 = X20
        | X19 = X21
        | X19 = X22
        | X19 = X23
        | X20 = X21
        | X20 = X22
        | X20 = X23
        | X21 = X22
        | X21 = X23
        | X22 = X23 )
      & ( xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | ~ rr(esk3_0,X19)
        | ~ rr(esk3_0,X20)
        | ~ rr(esk3_0,X21)
        | ~ rr(esk3_0,X22)
        | ~ rr(esk3_0,X23)
        | X19 = X20
        | X19 = X21
        | X19 = X22
        | X19 = X23
        | X20 = X21
        | X20 = X22
        | X20 = X23
        | X21 = X22
        | X21 = X23
        | X22 = X23 )
      & ( ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | rp(esk3_0,esk4_0) )
      & ( xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | rp(esk3_0,esk4_0) )
      & ( ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | rp(esk3_0,esk5_0) )
      & ( xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | rp(esk3_0,esk5_0) )
      & ( ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | esk4_0 != esk5_0 )
      & ( xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | esk4_0 != esk5_0 )
      & ( ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | rq(esk3_0,esk6_0) )
      & ( xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | rq(esk3_0,esk6_0) )
      & ( ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | rq(esk3_0,esk7_0) )
      & ( xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | rq(esk3_0,esk7_0) )
      & ( ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | rq(esk3_0,esk8_0) )
      & ( xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | rq(esk3_0,esk8_0) )
      & ( ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | esk6_0 != esk7_0 )
      & ( xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | esk6_0 != esk7_0 )
      & ( ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | esk6_0 != esk8_0 )
      & ( xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | esk6_0 != esk8_0 )
      & ( ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | esk7_0 != esk8_0 )
      & ( xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0)
        | ~ cowlThing(esk1_0)
        | cowlNothing(esk1_0)
        | esk7_0 != esk8_0 ) ),
    inference(distribute,[status(thm)],[49]) ).

cnf(51,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk7_0 != esk8_0
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(52,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | esk7_0 != esk8_0
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(53,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk6_0 != esk8_0
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(54,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | esk6_0 != esk8_0
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(55,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk6_0 != esk7_0
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(56,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | esk6_0 != esk7_0
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(57,negated_conjecture,
    ( rq(esk3_0,esk8_0)
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(58,negated_conjecture,
    ( rq(esk3_0,esk8_0)
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(59,negated_conjecture,
    ( rq(esk3_0,esk7_0)
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(60,negated_conjecture,
    ( rq(esk3_0,esk7_0)
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(61,negated_conjecture,
    ( rq(esk3_0,esk6_0)
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(62,negated_conjecture,
    ( rq(esk3_0,esk6_0)
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(63,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk4_0 != esk5_0
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(64,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | esk4_0 != esk5_0
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(65,negated_conjecture,
    ( rp(esk3_0,esk5_0)
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(66,negated_conjecture,
    ( rp(esk3_0,esk5_0)
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(67,negated_conjecture,
    ( rp(esk3_0,esk4_0)
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(68,negated_conjecture,
    ( rp(esk3_0,esk4_0)
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(69,negated_conjecture,
    ( X1 = X2
    | X3 = X2
    | X3 = X1
    | X4 = X2
    | X4 = X1
    | X4 = X3
    | X5 = X2
    | X5 = X1
    | X5 = X3
    | X5 = X4
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X1)
    | ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X4)
    | ~ rr(esk3_0,X5)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(70,negated_conjecture,
    ( X1 = X2
    | X3 = X2
    | X3 = X1
    | X4 = X2
    | X4 = X1
    | X4 = X3
    | X5 = X2
    | X5 = X1
    | X5 = X3
    | X5 = X4
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X1)
    | ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X4)
    | ~ rr(esk3_0,X5)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[50]) ).

fof(77,plain,
    ! [X2] :
      ( cowlThing(X2)
      & ~ cowlNothing(X2) ),
    inference(variable_rename,[status(thm)],[23]) ).

cnf(78,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[77]) ).

cnf(79,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[77]) ).

fof(80,plain,
    ! [X1] :
      ( ( ~ xsd_string(X1)
        | ~ xsd_integer(X1) )
      & ( xsd_integer(X1)
        | xsd_string(X1) ) ),
    inference(fof_nnf,[status(thm)],[24]) ).

fof(81,plain,
    ! [X2] :
      ( ( ~ xsd_string(X2)
        | ~ xsd_integer(X2) )
      & ( xsd_integer(X2)
        | xsd_string(X2) ) ),
    inference(variable_rename,[status(thm)],[80]) ).

cnf(82,plain,
    ( xsd_string(X1)
    | xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[81]) ).

cnf(83,plain,
    ( ~ xsd_integer(X1)
    | ~ xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[81]) ).

fof(87,plain,
    ! [X1] :
      ( ~ cB(X1)
      | ~ cA(X1) ),
    inference(fof_nnf,[status(thm)],[14]) ).

fof(88,plain,
    ! [X2] :
      ( ~ cB(X2)
      | ~ cA(X2) ),
    inference(variable_rename,[status(thm)],[87]) ).

cnf(89,plain,
    ( ~ cA(X1)
    | ~ cB(X1) ),
    inference(split_conjunct,[status(thm)],[88]) ).

fof(90,plain,
    ! [X1,X2] :
      ( ~ rq(X1,X2)
      | rr(X1,X2) ),
    inference(fof_nnf,[status(thm)],[15]) ).

fof(91,plain,
    ! [X3,X4] :
      ( ~ rq(X3,X4)
      | rr(X3,X4) ),
    inference(variable_rename,[status(thm)],[90]) ).

cnf(92,plain,
    ( rr(X1,X2)
    | ~ rq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[91]) ).

cnf(108,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rp(esk3_0,esk4_0)
    | $false
    | ~ xsd_integer(esk2_0) ),
    inference(rw,[status(thm)],[67,79,theory(equality)]),
    [unfolding] ).

cnf(109,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rp(esk3_0,esk5_0)
    | $false
    | ~ xsd_integer(esk2_0) ),
    inference(rw,[status(thm)],[65,79,theory(equality)]),
    [unfolding] ).

cnf(110,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rq(esk3_0,esk6_0)
    | $false
    | ~ xsd_integer(esk2_0) ),
    inference(rw,[status(thm)],[61,79,theory(equality)]),
    [unfolding] ).

cnf(111,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rq(esk3_0,esk7_0)
    | $false
    | ~ xsd_integer(esk2_0) ),
    inference(rw,[status(thm)],[59,79,theory(equality)]),
    [unfolding] ).

cnf(112,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | rq(esk3_0,esk8_0)
    | $false
    | ~ xsd_integer(esk2_0) ),
    inference(rw,[status(thm)],[57,79,theory(equality)]),
    [unfolding] ).

cnf(113,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rp(esk3_0,esk4_0)
    | $false
    | ~ xsd_string(esk2_0) ),
    inference(rw,[status(thm)],[68,79,theory(equality)]),
    [unfolding] ).

cnf(114,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rp(esk3_0,esk5_0)
    | $false
    | ~ xsd_string(esk2_0) ),
    inference(rw,[status(thm)],[66,79,theory(equality)]),
    [unfolding] ).

cnf(115,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rq(esk3_0,esk6_0)
    | $false
    | ~ xsd_string(esk2_0) ),
    inference(rw,[status(thm)],[62,79,theory(equality)]),
    [unfolding] ).

cnf(116,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rq(esk3_0,esk7_0)
    | $false
    | ~ xsd_string(esk2_0) ),
    inference(rw,[status(thm)],[60,79,theory(equality)]),
    [unfolding] ).

cnf(117,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | rq(esk3_0,esk8_0)
    | $false
    | ~ xsd_string(esk2_0) ),
    inference(rw,[status(thm)],[58,79,theory(equality)]),
    [unfolding] ).

cnf(118,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk5_0 != esk4_0
    | $false
    | ~ xsd_integer(esk2_0) ),
    inference(rw,[status(thm)],[63,79,theory(equality)]),
    [unfolding] ).

cnf(119,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk7_0 != esk6_0
    | $false
    | ~ xsd_integer(esk2_0) ),
    inference(rw,[status(thm)],[55,79,theory(equality)]),
    [unfolding] ).

cnf(120,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk8_0 != esk6_0
    | $false
    | ~ xsd_integer(esk2_0) ),
    inference(rw,[status(thm)],[53,79,theory(equality)]),
    [unfolding] ).

cnf(121,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk8_0 != esk7_0
    | $false
    | ~ xsd_integer(esk2_0) ),
    inference(rw,[status(thm)],[51,79,theory(equality)]),
    [unfolding] ).

cnf(122,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | esk5_0 != esk4_0
    | $false
    | ~ xsd_string(esk2_0) ),
    inference(rw,[status(thm)],[64,79,theory(equality)]),
    [unfolding] ).

cnf(123,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | esk7_0 != esk6_0
    | $false
    | ~ xsd_string(esk2_0) ),
    inference(rw,[status(thm)],[56,79,theory(equality)]),
    [unfolding] ).

cnf(124,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | esk8_0 != esk6_0
    | $false
    | ~ xsd_string(esk2_0) ),
    inference(rw,[status(thm)],[54,79,theory(equality)]),
    [unfolding] ).

cnf(125,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | esk8_0 != esk7_0
    | $false
    | ~ xsd_string(esk2_0) ),
    inference(rw,[status(thm)],[52,79,theory(equality)]),
    [unfolding] ).

cnf(126,negated_conjecture,
    ( X4 = X5
    | X3 = X5
    | X3 = X4
    | X2 = X5
    | X2 = X4
    | X2 = X3
    | X1 = X5
    | X1 = X4
    | X1 = X3
    | X1 = X2
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | $false
    | ~ xsd_integer(esk2_0)
    | ~ rr(esk3_0,X5)
    | ~ rr(esk3_0,X4)
    | ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X1) ),
    inference(rw,[status(thm)],[69,79,theory(equality)]),
    [unfolding] ).

cnf(127,negated_conjecture,
    ( X4 = X5
    | X3 = X5
    | X3 = X4
    | X2 = X5
    | X2 = X4
    | X2 = X3
    | X1 = X5
    | X1 = X4
    | X1 = X3
    | X1 = X2
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | $false
    | ~ xsd_string(esk2_0)
    | ~ rr(esk3_0,X5)
    | ~ rr(esk3_0,X4)
    | ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X1) ),
    inference(rw,[status(thm)],[70,79,theory(equality)]),
    [unfolding] ).

cnf(129,negated_conjecture,
    ( xsd_string(esk2_0)
    | esk5_0 != esk4_0
    | ~ xsd_integer(esk2_0) ),
    inference(sr,[status(thm)],[118,78,theory(equality)]) ).

cnf(130,negated_conjecture,
    ( xsd_string(esk2_0)
    | esk5_0 != esk4_0 ),
    inference(csr,[status(thm)],[129,82]) ).

cnf(131,negated_conjecture,
    ( ~ xsd_integer(esk2_0)
    | esk5_0 != esk4_0 ),
    inference(spm,[status(thm)],[83,130,theory(equality)]) ).

cnf(132,negated_conjecture,
    ( xsd_string(esk2_0)
    | esk7_0 != esk6_0
    | ~ xsd_integer(esk2_0) ),
    inference(sr,[status(thm)],[119,78,theory(equality)]) ).

cnf(133,negated_conjecture,
    ( xsd_string(esk2_0)
    | esk7_0 != esk6_0 ),
    inference(csr,[status(thm)],[132,82]) ).

cnf(134,negated_conjecture,
    ( ~ xsd_integer(esk2_0)
    | esk7_0 != esk6_0 ),
    inference(spm,[status(thm)],[83,133,theory(equality)]) ).

cnf(135,negated_conjecture,
    ( xsd_string(esk2_0)
    | esk8_0 != esk6_0
    | ~ xsd_integer(esk2_0) ),
    inference(sr,[status(thm)],[120,78,theory(equality)]) ).

cnf(136,negated_conjecture,
    ( xsd_string(esk2_0)
    | esk8_0 != esk6_0 ),
    inference(csr,[status(thm)],[135,82]) ).

cnf(137,negated_conjecture,
    ( ~ xsd_integer(esk2_0)
    | esk8_0 != esk6_0 ),
    inference(spm,[status(thm)],[83,136,theory(equality)]) ).

cnf(138,negated_conjecture,
    ( xsd_string(esk2_0)
    | esk8_0 != esk7_0
    | ~ xsd_integer(esk2_0) ),
    inference(sr,[status(thm)],[121,78,theory(equality)]) ).

cnf(139,negated_conjecture,
    ( xsd_string(esk2_0)
    | esk8_0 != esk7_0 ),
    inference(csr,[status(thm)],[138,82]) ).

cnf(140,negated_conjecture,
    ( ~ xsd_integer(esk2_0)
    | esk8_0 != esk7_0 ),
    inference(spm,[status(thm)],[83,139,theory(equality)]) ).

cnf(141,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk5_0 != esk4_0
    | ~ xsd_string(esk2_0) ),
    inference(sr,[status(thm)],[122,78,theory(equality)]) ).

cnf(142,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk5_0 != esk4_0 ),
    inference(csr,[status(thm)],[141,82]) ).

cnf(143,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk7_0 != esk6_0
    | ~ xsd_string(esk2_0) ),
    inference(sr,[status(thm)],[123,78,theory(equality)]) ).

cnf(144,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk7_0 != esk6_0 ),
    inference(csr,[status(thm)],[143,82]) ).

cnf(145,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk8_0 != esk6_0
    | ~ xsd_string(esk2_0) ),
    inference(sr,[status(thm)],[124,78,theory(equality)]) ).

cnf(146,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk8_0 != esk6_0 ),
    inference(csr,[status(thm)],[145,82]) ).

cnf(147,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk8_0 != esk7_0
    | ~ xsd_string(esk2_0) ),
    inference(sr,[status(thm)],[125,78,theory(equality)]) ).

cnf(148,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk8_0 != esk7_0 ),
    inference(csr,[status(thm)],[147,82]) ).

cnf(149,negated_conjecture,
    ( xsd_string(esk2_0)
    | rp(esk3_0,esk4_0)
    | ~ xsd_integer(esk2_0) ),
    inference(sr,[status(thm)],[108,78,theory(equality)]) ).

cnf(150,negated_conjecture,
    ( xsd_string(esk2_0)
    | rp(esk3_0,esk4_0) ),
    inference(csr,[status(thm)],[149,82]) ).

cnf(151,negated_conjecture,
    ( rr(esk3_0,esk4_0)
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[36,150,theory(equality)]) ).

cnf(152,negated_conjecture,
    ( cA(esk4_0)
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[27,150,theory(equality)]) ).

cnf(153,negated_conjecture,
    ( xsd_string(esk2_0)
    | rp(esk3_0,esk5_0)
    | ~ xsd_integer(esk2_0) ),
    inference(sr,[status(thm)],[109,78,theory(equality)]) ).

cnf(154,negated_conjecture,
    ( xsd_string(esk2_0)
    | rp(esk3_0,esk5_0) ),
    inference(csr,[status(thm)],[153,82]) ).

cnf(155,negated_conjecture,
    ( rr(esk3_0,esk5_0)
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[36,154,theory(equality)]) ).

cnf(156,negated_conjecture,
    ( cA(esk5_0)
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[27,154,theory(equality)]) ).

cnf(157,negated_conjecture,
    ( xsd_string(esk2_0)
    | rq(esk3_0,esk6_0)
    | ~ xsd_integer(esk2_0) ),
    inference(sr,[status(thm)],[110,78,theory(equality)]) ).

cnf(158,negated_conjecture,
    ( xsd_string(esk2_0)
    | rq(esk3_0,esk6_0) ),
    inference(csr,[status(thm)],[157,82]) ).

cnf(159,negated_conjecture,
    ( rr(esk3_0,esk6_0)
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[92,158,theory(equality)]) ).

cnf(160,negated_conjecture,
    ( cB(esk6_0)
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[30,158,theory(equality)]) ).

cnf(161,negated_conjecture,
    ( xsd_string(esk2_0)
    | rq(esk3_0,esk7_0)
    | ~ xsd_integer(esk2_0) ),
    inference(sr,[status(thm)],[111,78,theory(equality)]) ).

cnf(162,negated_conjecture,
    ( xsd_string(esk2_0)
    | rq(esk3_0,esk7_0) ),
    inference(csr,[status(thm)],[161,82]) ).

cnf(163,negated_conjecture,
    ( rr(esk3_0,esk7_0)
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[92,162,theory(equality)]) ).

cnf(164,negated_conjecture,
    ( cB(esk7_0)
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[30,162,theory(equality)]) ).

cnf(165,negated_conjecture,
    ( xsd_string(esk2_0)
    | rq(esk3_0,esk8_0)
    | ~ xsd_integer(esk2_0) ),
    inference(sr,[status(thm)],[112,78,theory(equality)]) ).

cnf(166,negated_conjecture,
    ( xsd_string(esk2_0)
    | rq(esk3_0,esk8_0) ),
    inference(csr,[status(thm)],[165,82]) ).

cnf(167,negated_conjecture,
    ( rr(esk3_0,esk8_0)
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[92,166,theory(equality)]) ).

cnf(168,negated_conjecture,
    ( cB(esk8_0)
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[30,166,theory(equality)]) ).

cnf(169,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rp(esk3_0,esk4_0)
    | ~ xsd_string(esk2_0) ),
    inference(sr,[status(thm)],[113,78,theory(equality)]) ).

cnf(170,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rp(esk3_0,esk4_0) ),
    inference(csr,[status(thm)],[169,82]) ).

cnf(171,negated_conjecture,
    ( rr(esk3_0,esk4_0)
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[36,170,theory(equality)]) ).

cnf(172,negated_conjecture,
    ( cA(esk4_0)
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[27,170,theory(equality)]) ).

cnf(173,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rp(esk3_0,esk5_0)
    | ~ xsd_string(esk2_0) ),
    inference(sr,[status(thm)],[114,78,theory(equality)]) ).

cnf(174,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rp(esk3_0,esk5_0) ),
    inference(csr,[status(thm)],[173,82]) ).

cnf(175,negated_conjecture,
    ( rr(esk3_0,esk5_0)
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[36,174,theory(equality)]) ).

cnf(176,negated_conjecture,
    ( cA(esk5_0)
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[27,174,theory(equality)]) ).

cnf(177,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rq(esk3_0,esk6_0)
    | ~ xsd_string(esk2_0) ),
    inference(sr,[status(thm)],[115,78,theory(equality)]) ).

cnf(178,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rq(esk3_0,esk6_0) ),
    inference(csr,[status(thm)],[177,82]) ).

cnf(179,negated_conjecture,
    ( rr(esk3_0,esk6_0)
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[92,178,theory(equality)]) ).

cnf(180,negated_conjecture,
    ( cB(esk6_0)
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[30,178,theory(equality)]) ).

cnf(181,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rq(esk3_0,esk7_0)
    | ~ xsd_string(esk2_0) ),
    inference(sr,[status(thm)],[116,78,theory(equality)]) ).

cnf(182,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rq(esk3_0,esk7_0) ),
    inference(csr,[status(thm)],[181,82]) ).

cnf(183,negated_conjecture,
    ( rr(esk3_0,esk7_0)
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[92,182,theory(equality)]) ).

cnf(184,negated_conjecture,
    ( cB(esk7_0)
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[30,182,theory(equality)]) ).

cnf(185,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rq(esk3_0,esk8_0)
    | ~ xsd_string(esk2_0) ),
    inference(sr,[status(thm)],[117,78,theory(equality)]) ).

cnf(186,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rq(esk3_0,esk8_0) ),
    inference(csr,[status(thm)],[185,82]) ).

cnf(187,negated_conjecture,
    ( rr(esk3_0,esk8_0)
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[92,186,theory(equality)]) ).

cnf(188,negated_conjecture,
    ( cB(esk8_0)
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[30,186,theory(equality)]) ).

cnf(189,negated_conjecture,
    ( X4 = X5
    | X3 = X5
    | X3 = X4
    | X2 = X5
    | X2 = X4
    | X2 = X3
    | X1 = X5
    | X1 = X4
    | X1 = X3
    | X1 = X2
    | xsd_string(esk2_0)
    | ~ xsd_integer(esk2_0)
    | ~ rr(esk3_0,X5)
    | ~ rr(esk3_0,X4)
    | ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X1) ),
    inference(sr,[status(thm)],[126,78,theory(equality)]) ).

cnf(190,negated_conjecture,
    ( X4 = X5
    | X3 = X5
    | X3 = X4
    | X2 = X5
    | X2 = X4
    | X2 = X3
    | X1 = X5
    | X1 = X4
    | X1 = X3
    | X1 = X2
    | xsd_string(esk2_0)
    | ~ rr(esk3_0,X5)
    | ~ rr(esk3_0,X4)
    | ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X1) ),
    inference(csr,[status(thm)],[189,82]) ).

cnf(191,negated_conjecture,
    ( X4 = X5
    | X3 = X5
    | X3 = X4
    | X2 = X5
    | X2 = X4
    | X2 = X3
    | X1 = X5
    | X1 = X4
    | X1 = X3
    | X1 = X2
    | xsd_integer(esk2_0)
    | ~ xsd_string(esk2_0)
    | ~ rr(esk3_0,X5)
    | ~ rr(esk3_0,X4)
    | ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X1) ),
    inference(sr,[status(thm)],[127,78,theory(equality)]) ).

cnf(192,negated_conjecture,
    ( X4 = X5
    | X3 = X5
    | X3 = X4
    | X2 = X5
    | X2 = X4
    | X2 = X3
    | X1 = X5
    | X1 = X4
    | X1 = X3
    | X1 = X2
    | xsd_integer(esk2_0)
    | ~ rr(esk3_0,X5)
    | ~ rr(esk3_0,X4)
    | ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X1) ),
    inference(csr,[status(thm)],[191,190]) ).

cnf(193,negated_conjecture,
    esk5_0 != esk4_0,
    inference(csr,[status(thm)],[131,142]) ).

cnf(194,negated_conjecture,
    esk7_0 != esk6_0,
    inference(csr,[status(thm)],[134,144]) ).

cnf(195,negated_conjecture,
    esk8_0 != esk6_0,
    inference(csr,[status(thm)],[137,146]) ).

cnf(196,negated_conjecture,
    ( X1 = X2
    | X1 = X3
    | X1 = X4
    | X1 = esk4_0
    | X2 = X3
    | X2 = X4
    | X2 = esk4_0
    | X3 = X4
    | X3 = esk4_0
    | X4 = esk4_0
    | xsd_string(esk2_0)
    | ~ rr(esk3_0,X4)
    | ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X1) ),
    inference(spm,[status(thm)],[190,151,theory(equality)]) ).

cnf(202,negated_conjecture,
    esk8_0 != esk7_0,
    inference(csr,[status(thm)],[140,148]) ).

cnf(208,negated_conjecture,
    ( X1 = X2
    | X1 = X3
    | X1 = X4
    | X1 = esk4_0
    | X2 = X3
    | X2 = X4
    | X2 = esk4_0
    | X3 = X4
    | X3 = esk4_0
    | X4 = esk4_0
    | xsd_integer(esk2_0)
    | ~ rr(esk3_0,X4)
    | ~ rr(esk3_0,X3)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X1) ),
    inference(spm,[status(thm)],[192,171,theory(equality)]) ).

cnf(217,negated_conjecture,
    ( xsd_string(esk2_0)
    | ~ cA(esk6_0) ),
    inference(spm,[status(thm)],[89,160,theory(equality)]) ).

cnf(218,negated_conjecture,
    ( xsd_string(esk2_0)
    | ~ cA(esk7_0) ),
    inference(spm,[status(thm)],[89,164,theory(equality)]) ).

cnf(219,negated_conjecture,
    ( xsd_string(esk2_0)
    | ~ cA(esk8_0) ),
    inference(spm,[status(thm)],[89,168,theory(equality)]) ).

cnf(220,negated_conjecture,
    ( xsd_integer(esk2_0)
    | ~ cA(esk6_0) ),
    inference(spm,[status(thm)],[89,180,theory(equality)]) ).

cnf(221,negated_conjecture,
    ( xsd_integer(esk2_0)
    | ~ cA(esk7_0) ),
    inference(spm,[status(thm)],[89,184,theory(equality)]) ).

cnf(222,negated_conjecture,
    ( xsd_integer(esk2_0)
    | ~ cA(esk8_0) ),
    inference(spm,[status(thm)],[89,188,theory(equality)]) ).

cnf(223,negated_conjecture,
    ( esk5_0 = esk4_0
    | X1 = esk4_0
    | X2 = esk4_0
    | X3 = esk4_0
    | X1 = esk5_0
    | X2 = esk5_0
    | X2 = X1
    | X3 = esk5_0
    | X3 = X1
    | X3 = X2
    | xsd_string(esk2_0)
    | ~ rr(esk3_0,X1)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X3) ),
    inference(spm,[status(thm)],[196,155,theory(equality)]) ).

cnf(231,negated_conjecture,
    ( X1 = esk4_0
    | X2 = esk4_0
    | X3 = esk4_0
    | X1 = esk5_0
    | X2 = esk5_0
    | X2 = X1
    | X3 = esk5_0
    | X3 = X1
    | X3 = X2
    | xsd_string(esk2_0)
    | ~ rr(esk3_0,X1)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X3) ),
    inference(sr,[status(thm)],[223,193,theory(equality)]) ).

cnf(233,negated_conjecture,
    ( X1 = esk5_0
    | X2 = esk5_0
    | esk6_0 = esk5_0
    | X1 = esk4_0
    | X2 = esk4_0
    | esk6_0 = esk4_0
    | X1 = X2
    | X1 = esk6_0
    | X2 = esk6_0
    | xsd_string(esk2_0)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X1) ),
    inference(spm,[status(thm)],[231,159,theory(equality)]) ).

cnf(239,negated_conjecture,
    ( esk4_0 = esk6_0
    | esk5_0 = esk6_0
    | esk7_0 = esk6_0
    | X1 = esk6_0
    | esk7_0 = esk4_0
    | X1 = esk4_0
    | esk7_0 = esk5_0
    | X1 = esk5_0
    | X1 = esk7_0
    | xsd_string(esk2_0)
    | ~ rr(esk3_0,X1) ),
    inference(spm,[status(thm)],[233,163,theory(equality)]) ).

cnf(243,negated_conjecture,
    ( esk4_0 = esk6_0
    | esk5_0 = esk6_0
    | X1 = esk6_0
    | esk4_0 = esk7_0
    | X1 = esk4_0
    | esk5_0 = esk7_0
    | X1 = esk5_0
    | X1 = esk7_0
    | xsd_string(esk2_0)
    | ~ rr(esk3_0,X1) ),
    inference(sr,[status(thm)],[239,194,theory(equality)]) ).

cnf(247,negated_conjecture,
    ( esk5_0 = esk7_0
    | esk4_0 = esk7_0
    | esk5_0 = esk6_0
    | esk4_0 = esk6_0
    | esk8_0 = esk7_0
    | esk8_0 = esk5_0
    | esk8_0 = esk4_0
    | esk8_0 = esk6_0
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[243,167,theory(equality)]) ).

cnf(249,negated_conjecture,
    ( esk5_0 = esk7_0
    | esk4_0 = esk7_0
    | esk5_0 = esk6_0
    | esk4_0 = esk6_0
    | esk5_0 = esk8_0
    | esk4_0 = esk8_0
    | esk8_0 = esk6_0
    | xsd_string(esk2_0) ),
    inference(sr,[status(thm)],[247,202,theory(equality)]) ).

cnf(250,negated_conjecture,
    ( esk5_0 = esk7_0
    | esk4_0 = esk7_0
    | esk5_0 = esk6_0
    | esk4_0 = esk6_0
    | esk5_0 = esk8_0
    | esk4_0 = esk8_0
    | xsd_string(esk2_0) ),
    inference(sr,[status(thm)],[249,195,theory(equality)]) ).

cnf(267,negated_conjecture,
    ( esk4_0 = esk8_0
    | esk5_0 = esk8_0
    | esk4_0 = esk6_0
    | esk5_0 = esk6_0
    | esk4_0 = esk7_0
    | esk5_0 = esk7_0
    | ~ xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[83,250,theory(equality)]) ).

cnf(803,negated_conjecture,
    ( esk5_0 = esk4_0
    | X1 = esk4_0
    | X2 = esk4_0
    | X3 = esk4_0
    | X1 = esk5_0
    | X2 = esk5_0
    | X2 = X1
    | X3 = esk5_0
    | X3 = X1
    | X3 = X2
    | xsd_integer(esk2_0)
    | ~ rr(esk3_0,X1)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X3) ),
    inference(spm,[status(thm)],[208,175,theory(equality)]) ).

cnf(808,negated_conjecture,
    ( X1 = esk4_0
    | X2 = esk4_0
    | X3 = esk4_0
    | X1 = esk5_0
    | X2 = esk5_0
    | X2 = X1
    | X3 = esk5_0
    | X3 = X1
    | X3 = X2
    | xsd_integer(esk2_0)
    | ~ rr(esk3_0,X1)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X3) ),
    inference(sr,[status(thm)],[803,193,theory(equality)]) ).

cnf(834,negated_conjecture,
    ( X1 = esk5_0
    | X2 = esk5_0
    | esk6_0 = esk5_0
    | X1 = esk4_0
    | X2 = esk4_0
    | esk6_0 = esk4_0
    | X1 = X2
    | X1 = esk6_0
    | X2 = esk6_0
    | xsd_integer(esk2_0)
    | ~ rr(esk3_0,X2)
    | ~ rr(esk3_0,X1) ),
    inference(spm,[status(thm)],[808,179,theory(equality)]) ).

cnf(839,negated_conjecture,
    ( esk4_0 = esk6_0
    | esk5_0 = esk6_0
    | esk7_0 = esk6_0
    | X1 = esk6_0
    | esk7_0 = esk4_0
    | X1 = esk4_0
    | esk7_0 = esk5_0
    | X1 = esk5_0
    | X1 = esk7_0
    | xsd_integer(esk2_0)
    | ~ rr(esk3_0,X1) ),
    inference(spm,[status(thm)],[834,183,theory(equality)]) ).

cnf(843,negated_conjecture,
    ( esk4_0 = esk6_0
    | esk5_0 = esk6_0
    | X1 = esk6_0
    | esk4_0 = esk7_0
    | X1 = esk4_0
    | esk5_0 = esk7_0
    | X1 = esk5_0
    | X1 = esk7_0
    | xsd_integer(esk2_0)
    | ~ rr(esk3_0,X1) ),
    inference(sr,[status(thm)],[839,194,theory(equality)]) ).

cnf(846,negated_conjecture,
    ( esk5_0 = esk7_0
    | esk4_0 = esk7_0
    | esk5_0 = esk6_0
    | esk4_0 = esk6_0
    | esk8_0 = esk7_0
    | esk8_0 = esk5_0
    | esk8_0 = esk4_0
    | esk8_0 = esk6_0
    | xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[843,187,theory(equality)]) ).

cnf(849,negated_conjecture,
    ( esk5_0 = esk7_0
    | esk4_0 = esk7_0
    | esk5_0 = esk6_0
    | esk4_0 = esk6_0
    | esk5_0 = esk8_0
    | esk4_0 = esk8_0
    | esk8_0 = esk6_0
    | xsd_integer(esk2_0) ),
    inference(sr,[status(thm)],[846,202,theory(equality)]) ).

cnf(850,negated_conjecture,
    ( esk5_0 = esk7_0
    | esk4_0 = esk7_0
    | esk5_0 = esk6_0
    | esk4_0 = esk6_0
    | esk5_0 = esk8_0
    | esk4_0 = esk8_0
    | xsd_integer(esk2_0) ),
    inference(sr,[status(thm)],[849,195,theory(equality)]) ).

cnf(851,negated_conjecture,
    ( esk5_0 = esk7_0
    | esk4_0 = esk7_0
    | esk5_0 = esk6_0
    | esk4_0 = esk6_0
    | esk5_0 = esk8_0
    | esk4_0 = esk8_0 ),
    inference(csr,[status(thm)],[850,267]) ).

cnf(859,negated_conjecture,
    ( xsd_string(esk2_0)
    | cA(esk8_0)
    | esk4_0 = esk8_0
    | esk4_0 = esk6_0
    | esk5_0 = esk6_0
    | esk4_0 = esk7_0
    | esk5_0 = esk7_0 ),
    inference(spm,[status(thm)],[156,851,theory(equality)]) ).

cnf(860,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cA(esk8_0)
    | esk4_0 = esk8_0
    | esk4_0 = esk6_0
    | esk5_0 = esk6_0
    | esk4_0 = esk7_0
    | esk5_0 = esk7_0 ),
    inference(spm,[status(thm)],[176,851,theory(equality)]) ).

cnf(891,negated_conjecture,
    ( esk5_0 = esk7_0
    | esk4_0 = esk7_0
    | esk5_0 = esk6_0
    | esk4_0 = esk6_0
    | esk4_0 = esk8_0
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[859,219]) ).

cnf(892,negated_conjecture,
    ( esk5_0 = esk7_0
    | esk4_0 = esk7_0
    | esk5_0 = esk6_0
    | esk4_0 = esk6_0
    | esk4_0 = esk8_0
    | ~ xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[83,891,theory(equality)]) ).

cnf(917,negated_conjecture,
    ( esk5_0 = esk7_0
    | esk4_0 = esk7_0
    | esk5_0 = esk6_0
    | esk4_0 = esk6_0
    | esk4_0 = esk8_0
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[860,222]) ).

cnf(918,negated_conjecture,
    ( esk5_0 = esk7_0
    | esk4_0 = esk7_0
    | esk5_0 = esk6_0
    | esk4_0 = esk6_0
    | esk4_0 = esk8_0 ),
    inference(csr,[status(thm)],[917,892]) ).

cnf(921,negated_conjecture,
    ( xsd_string(esk2_0)
    | rp(esk3_0,esk7_0)
    | esk4_0 = esk7_0
    | esk5_0 = esk6_0
    | esk4_0 = esk6_0
    | esk4_0 = esk8_0 ),
    inference(spm,[status(thm)],[154,918,theory(equality)]) ).

cnf(922,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rp(esk3_0,esk7_0)
    | esk4_0 = esk7_0
    | esk5_0 = esk6_0
    | esk4_0 = esk6_0
    | esk4_0 = esk8_0 ),
    inference(spm,[status(thm)],[174,918,theory(equality)]) ).

cnf(942,negated_conjecture,
    ( cA(esk7_0)
    | esk4_0 = esk8_0
    | esk4_0 = esk6_0
    | esk5_0 = esk6_0
    | esk4_0 = esk7_0
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[27,921,theory(equality)]) ).

cnf(947,negated_conjecture,
    ( esk4_0 = esk7_0
    | esk5_0 = esk6_0
    | esk4_0 = esk6_0
    | esk4_0 = esk8_0
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[942,218]) ).

cnf(948,negated_conjecture,
    ( esk4_0 = esk7_0
    | esk5_0 = esk6_0
    | esk4_0 = esk6_0
    | esk4_0 = esk8_0
    | ~ xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[83,947,theory(equality)]) ).

cnf(965,negated_conjecture,
    ( esk4_0 = esk8_0
    | esk4_0 = esk6_0
    | esk5_0 = esk6_0
    | esk4_0 = esk7_0
    | rp(esk3_0,esk7_0) ),
    inference(csr,[status(thm)],[922,948]) ).

cnf(967,negated_conjecture,
    ( cA(esk7_0)
    | esk4_0 = esk8_0
    | esk4_0 = esk6_0
    | esk5_0 = esk6_0
    | esk4_0 = esk7_0 ),
    inference(spm,[status(thm)],[27,965,theory(equality)]) ).

cnf(1001,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk4_0 = esk7_0
    | esk5_0 = esk6_0
    | esk4_0 = esk6_0
    | esk4_0 = esk8_0 ),
    inference(spm,[status(thm)],[221,967,theory(equality)]) ).

cnf(1002,negated_conjecture,
    ( esk4_0 = esk8_0
    | esk4_0 = esk6_0
    | esk5_0 = esk6_0
    | esk4_0 = esk7_0 ),
    inference(csr,[status(thm)],[1001,948]) ).

cnf(1005,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rp(esk3_0,esk6_0)
    | esk4_0 = esk8_0
    | esk4_0 = esk6_0
    | esk4_0 = esk7_0 ),
    inference(spm,[status(thm)],[174,1002,theory(equality)]) ).

cnf(1008,negated_conjecture,
    ( xsd_string(esk2_0)
    | cA(esk6_0)
    | esk4_0 = esk8_0
    | esk4_0 = esk6_0
    | esk4_0 = esk7_0 ),
    inference(spm,[status(thm)],[156,1002,theory(equality)]) ).

cnf(1012,negated_conjecture,
    ( esk4_0 = esk7_0
    | esk4_0 = esk6_0
    | esk4_0 = esk8_0
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[1008,217]) ).

cnf(1013,negated_conjecture,
    ( esk4_0 = esk7_0
    | esk4_0 = esk6_0
    | esk4_0 = esk8_0
    | ~ xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[83,1012,theory(equality)]) ).

cnf(1032,negated_conjecture,
    ( esk4_0 = esk7_0
    | esk4_0 = esk6_0
    | esk4_0 = esk8_0
    | rp(esk3_0,esk6_0) ),
    inference(csr,[status(thm)],[1005,1013]) ).

cnf(1034,negated_conjecture,
    ( cA(esk6_0)
    | esk4_0 = esk7_0
    | esk4_0 = esk6_0
    | esk4_0 = esk8_0 ),
    inference(spm,[status(thm)],[27,1032,theory(equality)]) ).

cnf(1064,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk4_0 = esk8_0
    | esk4_0 = esk6_0
    | esk4_0 = esk7_0 ),
    inference(spm,[status(thm)],[220,1034,theory(equality)]) ).

cnf(1079,negated_conjecture,
    ( esk4_0 = esk7_0
    | esk4_0 = esk6_0
    | esk4_0 = esk8_0 ),
    inference(csr,[status(thm)],[1064,1013]) ).

cnf(1085,negated_conjecture,
    ( xsd_string(esk2_0)
    | cA(esk8_0)
    | esk4_0 = esk7_0
    | esk4_0 = esk6_0 ),
    inference(spm,[status(thm)],[152,1079,theory(equality)]) ).

cnf(1087,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cA(esk8_0)
    | esk4_0 = esk7_0
    | esk4_0 = esk6_0 ),
    inference(spm,[status(thm)],[172,1079,theory(equality)]) ).

cnf(1094,negated_conjecture,
    ( esk4_0 = esk6_0
    | esk4_0 = esk7_0
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[1085,219]) ).

cnf(1095,negated_conjecture,
    ( esk4_0 = esk6_0
    | esk4_0 = esk7_0
    | ~ xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[83,1094,theory(equality)]) ).

cnf(1148,negated_conjecture,
    ( esk4_0 = esk6_0
    | esk4_0 = esk7_0
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[1087,222]) ).

cnf(1149,negated_conjecture,
    ( esk4_0 = esk6_0
    | esk4_0 = esk7_0 ),
    inference(csr,[status(thm)],[1148,1095]) ).

cnf(1151,negated_conjecture,
    ( xsd_string(esk2_0)
    | rp(esk3_0,esk7_0)
    | esk4_0 = esk6_0 ),
    inference(spm,[status(thm)],[150,1149,theory(equality)]) ).

cnf(1152,negated_conjecture,
    ( xsd_integer(esk2_0)
    | rp(esk3_0,esk7_0)
    | esk4_0 = esk6_0 ),
    inference(spm,[status(thm)],[170,1149,theory(equality)]) ).

cnf(1170,negated_conjecture,
    ( cA(esk7_0)
    | esk4_0 = esk6_0
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[27,1151,theory(equality)]) ).

cnf(1172,negated_conjecture,
    ( esk4_0 = esk6_0
    | xsd_string(esk2_0) ),
    inference(csr,[status(thm)],[1170,218]) ).

cnf(1173,negated_conjecture,
    ( esk4_0 = esk6_0
    | ~ xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[83,1172,theory(equality)]) ).

cnf(1190,negated_conjecture,
    ( esk4_0 = esk6_0
    | rp(esk3_0,esk7_0) ),
    inference(csr,[status(thm)],[1152,1173]) ).

cnf(1192,negated_conjecture,
    ( cA(esk7_0)
    | esk4_0 = esk6_0 ),
    inference(spm,[status(thm)],[27,1190,theory(equality)]) ).

cnf(1220,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk4_0 = esk6_0 ),
    inference(spm,[status(thm)],[221,1192,theory(equality)]) ).

cnf(1221,negated_conjecture,
    esk4_0 = esk6_0,
    inference(csr,[status(thm)],[1220,1173]) ).

cnf(1261,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cA(esk6_0) ),
    inference(rw,[status(thm)],[172,1221,theory(equality)]) ).

cnf(1266,negated_conjecture,
    ( xsd_string(esk2_0)
    | rp(esk3_0,esk6_0) ),
    inference(rw,[status(thm)],[150,1221,theory(equality)]) ).

cnf(1280,negated_conjecture,
    ( cA(esk6_0)
    | xsd_string(esk2_0) ),
    inference(spm,[status(thm)],[27,1266,theory(equality)]) ).

cnf(1281,negated_conjecture,
    xsd_integer(esk2_0),
    inference(csr,[status(thm)],[1261,220]) ).

cnf(1309,negated_conjecture,
    xsd_string(esk2_0),
    inference(csr,[status(thm)],[1280,217]) ).

cnf(1310,negated_conjecture,
    ~ xsd_integer(esk2_0),
    inference(spm,[status(thm)],[83,1309,theory(equality)]) ).

cnf(1343,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[1310,1281,theory(equality)]) ).

cnf(1344,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[1343,theory(equality)]) ).

cnf(1345,negated_conjecture,
    $false,
    1344,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS162+1.p
% --creating new selector for []
% -running prover on /tmp/tmpHbzjZw/sel_KRS162+1.p_1 with time limit 29
% -prover status Theorem
% Problem KRS162+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS162+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS162+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
% 
%------------------------------------------------------------------------------