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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : KRS138+1 : TPTP v5.0.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art01.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 13:02:13 EST 2010

% Result   : Theorem 0.32s
% Output   : CNFRefutation 0.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   68
%            Number of leaves      :    8
% Syntax   : Number of formulae    :  206 (  18 unt;   0 def)
%            Number of atoms       : 1012 ( 253 equ)
%            Maximal formula atoms :  160 (   4 avg)
%            Number of connectives : 1269 ( 463   ~; 726   |;  66   &)
%                                         (   6 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :   73 (   3 sgn  44   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(5,axiom,
    ! [X4] :
      ( cA(X4)
    <=> ( X4 = ib
        | X4 = ia ) ),
    file('/tmp/tmpZ1JR51/sel_KRS138+1.p_1',axiom_2) ).

fof(6,axiom,
    ! [X4,X5,X6] :
      ( ( requalityOnA(X5,X4)
        & requalityOnA(X6,X4) )
     => X5 = X6 ),
    file('/tmp/tmpZ1JR51/sel_KRS138+1.p_1',axiom_3) ).

fof(7,axiom,
    ! [X4] :
      ( cowlThing(X4)
      & ~ cowlNothing(X4) ),
    file('/tmp/tmpZ1JR51/sel_KRS138+1.p_1',axiom_0) ).

fof(8,axiom,
    ! [X4] :
      ( xsd_string(X4)
    <=> ~ xsd_integer(X4) ),
    file('/tmp/tmpZ1JR51/sel_KRS138+1.p_1',axiom_1) ).

fof(11,axiom,
    ! [X4,X5] :
      ( requalityOnA(X4,X5)
     => cA(X5) ),
    file('/tmp/tmpZ1JR51/sel_KRS138+1.p_1',axiom_4) ).

fof(14,axiom,
    requalityOnA(ia,ia),
    file('/tmp/tmpZ1JR51/sel_KRS138+1.p_1',axiom_6) ).

fof(15,axiom,
    requalityOnA(ib,ib),
    file('/tmp/tmpZ1JR51/sel_KRS138+1.p_1',axiom_8) ).

fof(17,conjecture,
    ( ! [X4] :
        ( cowlThing(X4)
        & ~ cowlNothing(X4) )
    & ! [X4] :
        ( xsd_string(X4)
      <=> ~ xsd_integer(X4) )
    & ! [X4,X5] :
        ( requalityOnA(X4,X5)
       => ( X4 = ia
          | X4 = ib
          | X4 = ic ) )
    & ! [X4,X5] :
        ( requalityOnA(X4,X5)
       => requalityOnA(X5,X4) )
    & cowlThing(ia)
    & requalityOnA(ia,ia)
    & cowlThing(ib)
    & cowlThing(ic) ),
    file('/tmp/tmpZ1JR51/sel_KRS138+1.p_1',the_axiom) ).

fof(19,negated_conjecture,
    ~ ( ! [X4] :
          ( cowlThing(X4)
          & ~ cowlNothing(X4) )
      & ! [X4] :
          ( xsd_string(X4)
        <=> ~ xsd_integer(X4) )
      & ! [X4,X5] :
          ( requalityOnA(X4,X5)
         => ( X4 = ia
            | X4 = ib
            | X4 = ic ) )
      & ! [X4,X5] :
          ( requalityOnA(X4,X5)
         => requalityOnA(X5,X4) )
      & cowlThing(ia)
      & requalityOnA(ia,ia)
      & cowlThing(ib)
      & cowlThing(ic) ),
    inference(assume_negation,[status(cth)],[17]) ).

fof(20,plain,
    ! [X4] :
      ( cowlThing(X4)
      & ~ cowlNothing(X4) ),
    inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).

fof(21,plain,
    ! [X4] :
      ( xsd_string(X4)
    <=> ~ xsd_integer(X4) ),
    inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).

fof(22,negated_conjecture,
    ~ ( ! [X4] :
          ( cowlThing(X4)
          & ~ cowlNothing(X4) )
      & ! [X4] :
          ( xsd_string(X4)
        <=> ~ xsd_integer(X4) )
      & ! [X4,X5] :
          ( requalityOnA(X4,X5)
         => ( X4 = ia
            | X4 = ib
            | X4 = ic ) )
      & ! [X4,X5] :
          ( requalityOnA(X4,X5)
         => requalityOnA(X5,X4) )
      & cowlThing(ia)
      & requalityOnA(ia,ia)
      & cowlThing(ib)
      & cowlThing(ic) ),
    inference(fof_simplification,[status(thm)],[19,theory(equality)]) ).

fof(35,plain,
    ! [X4] :
      ( ( ~ cA(X4)
        | X4 = ib
        | X4 = ia )
      & ( ( X4 != ib
          & X4 != ia )
        | cA(X4) ) ),
    inference(fof_nnf,[status(thm)],[5]) ).

fof(36,plain,
    ! [X5] :
      ( ( ~ cA(X5)
        | X5 = ib
        | X5 = ia )
      & ( ( X5 != ib
          & X5 != ia )
        | cA(X5) ) ),
    inference(variable_rename,[status(thm)],[35]) ).

fof(37,plain,
    ! [X5] :
      ( ( ~ cA(X5)
        | X5 = ib
        | X5 = ia )
      & ( X5 != ib
        | cA(X5) )
      & ( X5 != ia
        | cA(X5) ) ),
    inference(distribute,[status(thm)],[36]) ).

cnf(38,plain,
    ( cA(X1)
    | X1 != ia ),
    inference(split_conjunct,[status(thm)],[37]) ).

cnf(40,plain,
    ( X1 = ia
    | X1 = ib
    | ~ cA(X1) ),
    inference(split_conjunct,[status(thm)],[37]) ).

fof(41,plain,
    ! [X4,X5,X6] :
      ( ~ requalityOnA(X5,X4)
      | ~ requalityOnA(X6,X4)
      | X5 = X6 ),
    inference(fof_nnf,[status(thm)],[6]) ).

fof(42,plain,
    ! [X7,X8,X9] :
      ( ~ requalityOnA(X8,X7)
      | ~ requalityOnA(X9,X7)
      | X8 = X9 ),
    inference(variable_rename,[status(thm)],[41]) ).

cnf(43,plain,
    ( X1 = X2
    | ~ requalityOnA(X2,X3)
    | ~ requalityOnA(X1,X3) ),
    inference(split_conjunct,[status(thm)],[42]) ).

fof(44,plain,
    ! [X5] :
      ( cowlThing(X5)
      & ~ cowlNothing(X5) ),
    inference(variable_rename,[status(thm)],[20]) ).

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

cnf(46,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[44]) ).

fof(47,plain,
    ! [X4] :
      ( ( ~ xsd_string(X4)
        | ~ xsd_integer(X4) )
      & ( xsd_integer(X4)
        | xsd_string(X4) ) ),
    inference(fof_nnf,[status(thm)],[21]) ).

fof(48,plain,
    ! [X5] :
      ( ( ~ xsd_string(X5)
        | ~ xsd_integer(X5) )
      & ( xsd_integer(X5)
        | xsd_string(X5) ) ),
    inference(variable_rename,[status(thm)],[47]) ).

cnf(49,plain,
    ( xsd_string(X1)
    | xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[48]) ).

cnf(50,plain,
    ( ~ xsd_integer(X1)
    | ~ xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[48]) ).

fof(55,plain,
    ! [X4,X5] :
      ( ~ requalityOnA(X4,X5)
      | cA(X5) ),
    inference(fof_nnf,[status(thm)],[11]) ).

fof(56,plain,
    ! [X6,X7] :
      ( ~ requalityOnA(X6,X7)
      | cA(X7) ),
    inference(variable_rename,[status(thm)],[55]) ).

cnf(57,plain,
    ( cA(X1)
    | ~ requalityOnA(X2,X1) ),
    inference(split_conjunct,[status(thm)],[56]) ).

cnf(62,plain,
    requalityOnA(ia,ia),
    inference(split_conjunct,[status(thm)],[14]) ).

cnf(63,plain,
    requalityOnA(ib,ib),
    inference(split_conjunct,[status(thm)],[15]) ).

fof(65,negated_conjecture,
    ( ? [X4] :
        ( ~ cowlThing(X4)
        | cowlNothing(X4) )
    | ? [X4] :
        ( ( ~ xsd_string(X4)
          | xsd_integer(X4) )
        & ( xsd_string(X4)
          | ~ xsd_integer(X4) ) )
    | ? [X4,X5] :
        ( requalityOnA(X4,X5)
        & X4 != ia
        & X4 != ib
        & X4 != ic )
    | ? [X4,X5] :
        ( requalityOnA(X4,X5)
        & ~ requalityOnA(X5,X4) )
    | ~ cowlThing(ia)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ib)
    | ~ cowlThing(ic) ),
    inference(fof_nnf,[status(thm)],[22]) ).

fof(66,negated_conjecture,
    ( ? [X6] :
        ( ~ cowlThing(X6)
        | cowlNothing(X6) )
    | ? [X7] :
        ( ( ~ xsd_string(X7)
          | xsd_integer(X7) )
        & ( xsd_string(X7)
          | ~ xsd_integer(X7) ) )
    | ? [X8,X9] :
        ( requalityOnA(X8,X9)
        & X8 != ia
        & X8 != ib
        & X8 != ic )
    | ? [X10,X11] :
        ( requalityOnA(X10,X11)
        & ~ requalityOnA(X11,X10) )
    | ~ cowlThing(ia)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ib)
    | ~ cowlThing(ic) ),
    inference(variable_rename,[status(thm)],[65]) ).

fof(67,negated_conjecture,
    ( ~ cowlThing(esk1_0)
    | cowlNothing(esk1_0)
    | ( ( ~ xsd_string(esk2_0)
        | xsd_integer(esk2_0) )
      & ( xsd_string(esk2_0)
        | ~ xsd_integer(esk2_0) ) )
    | ( requalityOnA(esk3_0,esk4_0)
      & esk3_0 != ia
      & esk3_0 != ib
      & esk3_0 != ic )
    | ( requalityOnA(esk5_0,esk6_0)
      & ~ requalityOnA(esk6_0,esk5_0) )
    | ~ cowlThing(ia)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ib)
    | ~ cowlThing(ic) ),
    inference(skolemize,[status(esa)],[66]) ).

fof(68,negated_conjecture,
    ( ( requalityOnA(esk5_0,esk6_0)
      | requalityOnA(esk3_0,esk4_0)
      | ~ xsd_string(esk2_0)
      | xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( ~ requalityOnA(esk6_0,esk5_0)
      | requalityOnA(esk3_0,esk4_0)
      | ~ xsd_string(esk2_0)
      | xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( requalityOnA(esk5_0,esk6_0)
      | esk3_0 != ia
      | ~ xsd_string(esk2_0)
      | xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( ~ requalityOnA(esk6_0,esk5_0)
      | esk3_0 != ia
      | ~ xsd_string(esk2_0)
      | xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( requalityOnA(esk5_0,esk6_0)
      | esk3_0 != ib
      | ~ xsd_string(esk2_0)
      | xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( ~ requalityOnA(esk6_0,esk5_0)
      | esk3_0 != ib
      | ~ xsd_string(esk2_0)
      | xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( requalityOnA(esk5_0,esk6_0)
      | esk3_0 != ic
      | ~ xsd_string(esk2_0)
      | xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( ~ requalityOnA(esk6_0,esk5_0)
      | esk3_0 != ic
      | ~ xsd_string(esk2_0)
      | xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( requalityOnA(esk5_0,esk6_0)
      | requalityOnA(esk3_0,esk4_0)
      | xsd_string(esk2_0)
      | ~ xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( ~ requalityOnA(esk6_0,esk5_0)
      | requalityOnA(esk3_0,esk4_0)
      | xsd_string(esk2_0)
      | ~ xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( requalityOnA(esk5_0,esk6_0)
      | esk3_0 != ia
      | xsd_string(esk2_0)
      | ~ xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( ~ requalityOnA(esk6_0,esk5_0)
      | esk3_0 != ia
      | xsd_string(esk2_0)
      | ~ xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( requalityOnA(esk5_0,esk6_0)
      | esk3_0 != ib
      | xsd_string(esk2_0)
      | ~ xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( ~ requalityOnA(esk6_0,esk5_0)
      | esk3_0 != ib
      | xsd_string(esk2_0)
      | ~ xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( requalityOnA(esk5_0,esk6_0)
      | esk3_0 != ic
      | xsd_string(esk2_0)
      | ~ xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) )
    & ( ~ requalityOnA(esk6_0,esk5_0)
      | esk3_0 != ic
      | xsd_string(esk2_0)
      | ~ xsd_integer(esk2_0)
      | ~ cowlThing(esk1_0)
      | cowlNothing(esk1_0)
      | ~ cowlThing(ia)
      | ~ requalityOnA(ia,ia)
      | ~ cowlThing(ib)
      | ~ cowlThing(ic) ) ),
    inference(distribute,[status(thm)],[67]) ).

cnf(71,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | ~ cowlThing(ic)
    | ~ cowlThing(ib)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ia)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | esk3_0 != ib
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(split_conjunct,[status(thm)],[68]) ).

cnf(72,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | ~ cowlThing(ic)
    | ~ cowlThing(ib)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ia)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | esk3_0 != ib ),
    inference(split_conjunct,[status(thm)],[68]) ).

cnf(73,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | ~ cowlThing(ic)
    | ~ cowlThing(ib)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ia)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | esk3_0 != ia
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(split_conjunct,[status(thm)],[68]) ).

cnf(74,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | ~ cowlThing(ic)
    | ~ cowlThing(ib)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ia)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | esk3_0 != ia ),
    inference(split_conjunct,[status(thm)],[68]) ).

cnf(75,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | requalityOnA(esk3_0,esk4_0)
    | ~ cowlThing(ic)
    | ~ cowlThing(ib)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ia)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(split_conjunct,[status(thm)],[68]) ).

cnf(76,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | requalityOnA(esk3_0,esk4_0)
    | requalityOnA(esk5_0,esk6_0)
    | ~ cowlThing(ic)
    | ~ cowlThing(ib)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ia)
    | ~ cowlThing(esk1_0)
    | ~ xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[68]) ).

cnf(79,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | ~ cowlThing(ic)
    | ~ cowlThing(ib)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ia)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0)
    | esk3_0 != ib
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(split_conjunct,[status(thm)],[68]) ).

cnf(80,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | ~ cowlThing(ic)
    | ~ cowlThing(ib)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ia)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0)
    | esk3_0 != ib ),
    inference(split_conjunct,[status(thm)],[68]) ).

cnf(81,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | ~ cowlThing(ic)
    | ~ cowlThing(ib)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ia)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0)
    | esk3_0 != ia
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(split_conjunct,[status(thm)],[68]) ).

cnf(82,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | ~ cowlThing(ic)
    | ~ cowlThing(ib)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ia)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0)
    | esk3_0 != ia ),
    inference(split_conjunct,[status(thm)],[68]) ).

cnf(83,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | requalityOnA(esk3_0,esk4_0)
    | ~ cowlThing(ic)
    | ~ cowlThing(ib)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ia)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(split_conjunct,[status(thm)],[68]) ).

cnf(84,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_integer(esk2_0)
    | requalityOnA(esk3_0,esk4_0)
    | requalityOnA(esk5_0,esk6_0)
    | ~ cowlThing(ic)
    | ~ cowlThing(ib)
    | ~ requalityOnA(ia,ia)
    | ~ cowlThing(ia)
    | ~ cowlThing(esk1_0)
    | ~ xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[68]) ).

cnf(91,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | requalityOnA(esk3_0,esk4_0)
    | requalityOnA(esk5_0,esk6_0)
    | $false
    | $false
    | $false
    | $false
    | ~ xsd_string(esk2_0)
    | ~ requalityOnA(ia,ia) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[84,46,theory(equality)]),46,theory(equality)]),46,theory(equality)]),46,theory(equality)]),
    [unfolding] ).

cnf(92,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | requalityOnA(esk3_0,esk4_0)
    | requalityOnA(esk5_0,esk6_0)
    | ~ xsd_integer(esk2_0)
    | $false
    | $false
    | $false
    | $false
    | ~ requalityOnA(ia,ia) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[76,46,theory(equality)]),46,theory(equality)]),46,theory(equality)]),46,theory(equality)]),
    [unfolding] ).

cnf(93,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | requalityOnA(esk5_0,esk6_0)
    | esk3_0 != ib
    | $false
    | $false
    | $false
    | $false
    | ~ xsd_string(esk2_0)
    | ~ requalityOnA(ia,ia) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[80,46,theory(equality)]),46,theory(equality)]),46,theory(equality)]),46,theory(equality)]),
    [unfolding] ).

cnf(94,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | requalityOnA(esk5_0,esk6_0)
    | esk3_0 != ia
    | $false
    | $false
    | $false
    | $false
    | ~ xsd_string(esk2_0)
    | ~ requalityOnA(ia,ia) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[82,46,theory(equality)]),46,theory(equality)]),46,theory(equality)]),46,theory(equality)]),
    [unfolding] ).

cnf(96,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | esk3_0 != ib
    | ~ xsd_integer(esk2_0)
    | $false
    | $false
    | $false
    | $false
    | ~ requalityOnA(ia,ia) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[72,46,theory(equality)]),46,theory(equality)]),46,theory(equality)]),46,theory(equality)]),
    [unfolding] ).

cnf(97,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | esk3_0 != ia
    | ~ xsd_integer(esk2_0)
    | $false
    | $false
    | $false
    | $false
    | ~ requalityOnA(ia,ia) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[74,46,theory(equality)]),46,theory(equality)]),46,theory(equality)]),46,theory(equality)]),
    [unfolding] ).

cnf(99,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | requalityOnA(esk3_0,esk4_0)
    | $false
    | $false
    | $false
    | $false
    | ~ xsd_string(esk2_0)
    | ~ requalityOnA(ia,ia)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[83,46,theory(equality)]),46,theory(equality)]),46,theory(equality)]),46,theory(equality)]),
    [unfolding] ).

cnf(100,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | requalityOnA(esk3_0,esk4_0)
    | ~ xsd_integer(esk2_0)
    | $false
    | $false
    | $false
    | $false
    | ~ requalityOnA(ia,ia)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[75,46,theory(equality)]),46,theory(equality)]),46,theory(equality)]),46,theory(equality)]),
    [unfolding] ).

cnf(101,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | esk3_0 != ib
    | $false
    | $false
    | $false
    | $false
    | ~ xsd_string(esk2_0)
    | ~ requalityOnA(ia,ia)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[79,46,theory(equality)]),46,theory(equality)]),46,theory(equality)]),46,theory(equality)]),
    [unfolding] ).

cnf(102,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | esk3_0 != ia
    | $false
    | $false
    | $false
    | $false
    | ~ xsd_string(esk2_0)
    | ~ requalityOnA(ia,ia)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[81,46,theory(equality)]),46,theory(equality)]),46,theory(equality)]),46,theory(equality)]),
    [unfolding] ).

cnf(104,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk3_0 != ib
    | ~ xsd_integer(esk2_0)
    | $false
    | $false
    | $false
    | $false
    | ~ requalityOnA(ia,ia)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[71,46,theory(equality)]),46,theory(equality)]),46,theory(equality)]),46,theory(equality)]),
    [unfolding] ).

cnf(105,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk3_0 != ia
    | ~ xsd_integer(esk2_0)
    | $false
    | $false
    | $false
    | $false
    | ~ requalityOnA(ia,ia)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[73,46,theory(equality)]),46,theory(equality)]),46,theory(equality)]),46,theory(equality)]),
    [unfolding] ).

cnf(107,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | requalityOnA(esk5_0,esk6_0)
    | esk3_0 != ib
    | ~ xsd_string(esk2_0)
    | $false ),
    inference(rw,[status(thm)],[93,62,theory(equality)]) ).

cnf(108,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | requalityOnA(esk5_0,esk6_0)
    | esk3_0 != ib
    | ~ xsd_string(esk2_0) ),
    inference(cn,[status(thm)],[107,theory(equality)]) ).

cnf(109,negated_conjecture,
    ( xsd_integer(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | ib != esk3_0
    | ~ xsd_string(esk2_0) ),
    inference(sr,[status(thm)],[108,45,theory(equality)]) ).

cnf(110,negated_conjecture,
    ( requalityOnA(esk5_0,esk6_0)
    | xsd_integer(esk2_0)
    | ib != esk3_0 ),
    inference(csr,[status(thm)],[109,49]) ).

cnf(116,plain,
    ( X1 = ib
    | ~ requalityOnA(X1,ib) ),
    inference(spm,[status(thm)],[43,63,theory(equality)]) ).

cnf(117,plain,
    ( X1 = ia
    | ~ requalityOnA(X1,ia) ),
    inference(spm,[status(thm)],[43,62,theory(equality)]) ).

cnf(118,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | requalityOnA(esk5_0,esk6_0)
    | esk3_0 != ia
    | ~ xsd_string(esk2_0)
    | $false ),
    inference(rw,[status(thm)],[94,62,theory(equality)]) ).

cnf(119,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | requalityOnA(esk5_0,esk6_0)
    | esk3_0 != ia
    | ~ xsd_string(esk2_0) ),
    inference(cn,[status(thm)],[118,theory(equality)]) ).

cnf(120,negated_conjecture,
    ( xsd_integer(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | esk3_0 != ia
    | ~ xsd_string(esk2_0) ),
    inference(sr,[status(thm)],[119,45,theory(equality)]) ).

cnf(121,negated_conjecture,
    ( requalityOnA(esk5_0,esk6_0)
    | xsd_integer(esk2_0)
    | esk3_0 != ia ),
    inference(csr,[status(thm)],[120,49]) ).

cnf(126,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | esk3_0 != ib
    | ~ xsd_integer(esk2_0)
    | $false ),
    inference(rw,[status(thm)],[96,62,theory(equality)]) ).

cnf(127,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | esk3_0 != ib
    | ~ xsd_integer(esk2_0) ),
    inference(cn,[status(thm)],[126,theory(equality)]) ).

cnf(128,negated_conjecture,
    ( xsd_string(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | ib != esk3_0
    | ~ xsd_integer(esk2_0) ),
    inference(sr,[status(thm)],[127,45,theory(equality)]) ).

cnf(129,negated_conjecture,
    ( xsd_string(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | ib != esk3_0 ),
    inference(csr,[status(thm)],[128,49]) ).

cnf(130,negated_conjecture,
    ( requalityOnA(esk5_0,esk6_0)
    | ~ xsd_integer(esk2_0)
    | ib != esk3_0 ),
    inference(spm,[status(thm)],[50,129,theory(equality)]) ).

cnf(131,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | esk3_0 != ia
    | ~ xsd_integer(esk2_0)
    | $false ),
    inference(rw,[status(thm)],[97,62,theory(equality)]) ).

cnf(132,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | esk3_0 != ia
    | ~ xsd_integer(esk2_0) ),
    inference(cn,[status(thm)],[131,theory(equality)]) ).

cnf(133,negated_conjecture,
    ( xsd_string(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | esk3_0 != ia
    | ~ xsd_integer(esk2_0) ),
    inference(sr,[status(thm)],[132,45,theory(equality)]) ).

cnf(134,negated_conjecture,
    ( xsd_string(esk2_0)
    | requalityOnA(esk5_0,esk6_0)
    | esk3_0 != ia ),
    inference(csr,[status(thm)],[133,49]) ).

cnf(135,negated_conjecture,
    ( requalityOnA(esk5_0,esk6_0)
    | ~ xsd_integer(esk2_0)
    | esk3_0 != ia ),
    inference(spm,[status(thm)],[50,134,theory(equality)]) ).

cnf(141,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | esk3_0 != ib
    | ~ xsd_string(esk2_0)
    | $false
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(rw,[status(thm)],[101,62,theory(equality)]) ).

cnf(142,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | esk3_0 != ib
    | ~ xsd_string(esk2_0)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(cn,[status(thm)],[141,theory(equality)]) ).

cnf(143,negated_conjecture,
    ( xsd_integer(esk2_0)
    | ib != esk3_0
    | ~ xsd_string(esk2_0)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(sr,[status(thm)],[142,45,theory(equality)]) ).

cnf(144,negated_conjecture,
    ( xsd_integer(esk2_0)
    | ib != esk3_0
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(csr,[status(thm)],[143,49]) ).

cnf(145,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | esk3_0 != ia
    | ~ xsd_string(esk2_0)
    | $false
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(rw,[status(thm)],[102,62,theory(equality)]) ).

cnf(146,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | esk3_0 != ia
    | ~ xsd_string(esk2_0)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(cn,[status(thm)],[145,theory(equality)]) ).

cnf(147,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk3_0 != ia
    | ~ xsd_string(esk2_0)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(sr,[status(thm)],[146,45,theory(equality)]) ).

cnf(148,negated_conjecture,
    ( xsd_integer(esk2_0)
    | esk3_0 != ia
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(csr,[status(thm)],[147,49]) ).

cnf(153,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk3_0 != ib
    | ~ xsd_integer(esk2_0)
    | $false
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(rw,[status(thm)],[104,62,theory(equality)]) ).

cnf(154,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk3_0 != ib
    | ~ xsd_integer(esk2_0)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(cn,[status(thm)],[153,theory(equality)]) ).

cnf(155,negated_conjecture,
    ( xsd_string(esk2_0)
    | ib != esk3_0
    | ~ xsd_integer(esk2_0)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(sr,[status(thm)],[154,45,theory(equality)]) ).

cnf(156,negated_conjecture,
    ( xsd_string(esk2_0)
    | ib != esk3_0
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(csr,[status(thm)],[155,49]) ).

cnf(157,negated_conjecture,
    ( ~ xsd_integer(esk2_0)
    | ib != esk3_0
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(spm,[status(thm)],[50,156,theory(equality)]) ).

cnf(158,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk3_0 != ia
    | ~ xsd_integer(esk2_0)
    | $false
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(rw,[status(thm)],[105,62,theory(equality)]) ).

cnf(159,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | esk3_0 != ia
    | ~ xsd_integer(esk2_0)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(cn,[status(thm)],[158,theory(equality)]) ).

cnf(160,negated_conjecture,
    ( xsd_string(esk2_0)
    | esk3_0 != ia
    | ~ xsd_integer(esk2_0)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(sr,[status(thm)],[159,45,theory(equality)]) ).

cnf(161,negated_conjecture,
    ( xsd_string(esk2_0)
    | esk3_0 != ia
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(csr,[status(thm)],[160,49]) ).

cnf(162,negated_conjecture,
    ( ~ xsd_integer(esk2_0)
    | esk3_0 != ia
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(spm,[status(thm)],[50,161,theory(equality)]) ).

cnf(168,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | requalityOnA(esk3_0,esk4_0)
    | requalityOnA(esk5_0,esk6_0)
    | ~ xsd_string(esk2_0)
    | $false ),
    inference(rw,[status(thm)],[91,62,theory(equality)]) ).

cnf(169,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | requalityOnA(esk3_0,esk4_0)
    | requalityOnA(esk5_0,esk6_0)
    | ~ xsd_string(esk2_0) ),
    inference(cn,[status(thm)],[168,theory(equality)]) ).

cnf(170,negated_conjecture,
    ( xsd_integer(esk2_0)
    | requalityOnA(esk3_0,esk4_0)
    | requalityOnA(esk5_0,esk6_0)
    | ~ xsd_string(esk2_0) ),
    inference(sr,[status(thm)],[169,45,theory(equality)]) ).

cnf(171,negated_conjecture,
    ( requalityOnA(esk3_0,esk4_0)
    | requalityOnA(esk5_0,esk6_0)
    | xsd_integer(esk2_0) ),
    inference(csr,[status(thm)],[170,49]) ).

cnf(172,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | requalityOnA(esk3_0,esk4_0)
    | requalityOnA(esk5_0,esk6_0)
    | ~ xsd_integer(esk2_0)
    | $false ),
    inference(rw,[status(thm)],[92,62,theory(equality)]) ).

cnf(173,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | requalityOnA(esk3_0,esk4_0)
    | requalityOnA(esk5_0,esk6_0)
    | ~ xsd_integer(esk2_0) ),
    inference(cn,[status(thm)],[172,theory(equality)]) ).

cnf(174,negated_conjecture,
    ( xsd_string(esk2_0)
    | requalityOnA(esk3_0,esk4_0)
    | requalityOnA(esk5_0,esk6_0)
    | ~ xsd_integer(esk2_0) ),
    inference(sr,[status(thm)],[173,45,theory(equality)]) ).

cnf(175,negated_conjecture,
    ( xsd_string(esk2_0)
    | requalityOnA(esk3_0,esk4_0)
    | requalityOnA(esk5_0,esk6_0) ),
    inference(csr,[status(thm)],[174,49]) ).

cnf(176,negated_conjecture,
    ( requalityOnA(esk5_0,esk6_0)
    | requalityOnA(esk3_0,esk4_0)
    | ~ xsd_integer(esk2_0) ),
    inference(spm,[status(thm)],[50,175,theory(equality)]) ).

cnf(177,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | requalityOnA(esk3_0,esk4_0)
    | ~ xsd_string(esk2_0)
    | $false
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(rw,[status(thm)],[99,62,theory(equality)]) ).

cnf(178,negated_conjecture,
    ( xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | requalityOnA(esk3_0,esk4_0)
    | ~ xsd_string(esk2_0)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(cn,[status(thm)],[177,theory(equality)]) ).

cnf(179,negated_conjecture,
    ( xsd_integer(esk2_0)
    | requalityOnA(esk3_0,esk4_0)
    | ~ xsd_string(esk2_0)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(sr,[status(thm)],[178,45,theory(equality)]) ).

cnf(180,negated_conjecture,
    ( requalityOnA(esk3_0,esk4_0)
    | xsd_integer(esk2_0)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(csr,[status(thm)],[179,49]) ).

cnf(181,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | requalityOnA(esk3_0,esk4_0)
    | ~ xsd_integer(esk2_0)
    | $false
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(rw,[status(thm)],[100,62,theory(equality)]) ).

cnf(182,negated_conjecture,
    ( cowlNothing(esk1_0)
    | xsd_string(esk2_0)
    | requalityOnA(esk3_0,esk4_0)
    | ~ xsd_integer(esk2_0)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(cn,[status(thm)],[181,theory(equality)]) ).

cnf(183,negated_conjecture,
    ( xsd_string(esk2_0)
    | requalityOnA(esk3_0,esk4_0)
    | ~ xsd_integer(esk2_0)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(sr,[status(thm)],[182,45,theory(equality)]) ).

cnf(184,negated_conjecture,
    ( xsd_string(esk2_0)
    | requalityOnA(esk3_0,esk4_0)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(csr,[status(thm)],[183,49]) ).

cnf(185,negated_conjecture,
    ( requalityOnA(esk3_0,esk4_0)
    | ~ xsd_integer(esk2_0)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(spm,[status(thm)],[50,184,theory(equality)]) ).

cnf(186,negated_conjecture,
    ( requalityOnA(esk5_0,esk6_0)
    | ib != esk3_0 ),
    inference(csr,[status(thm)],[130,110]) ).

cnf(187,negated_conjecture,
    ( cA(esk6_0)
    | ib != esk3_0 ),
    inference(spm,[status(thm)],[57,186,theory(equality)]) ).

cnf(188,negated_conjecture,
    ( X1 = esk5_0
    | ~ requalityOnA(X1,esk6_0)
    | ib != esk3_0 ),
    inference(spm,[status(thm)],[43,186,theory(equality)]) ).

cnf(189,negated_conjecture,
    ( requalityOnA(esk5_0,esk6_0)
    | esk3_0 != ia ),
    inference(csr,[status(thm)],[135,121]) ).

cnf(190,negated_conjecture,
    ( cA(esk6_0)
    | esk3_0 != ia ),
    inference(spm,[status(thm)],[57,189,theory(equality)]) ).

cnf(191,negated_conjecture,
    ( X1 = esk5_0
    | ~ requalityOnA(X1,esk6_0)
    | esk3_0 != ia ),
    inference(spm,[status(thm)],[43,189,theory(equality)]) ).

cnf(195,negated_conjecture,
    ( ib != esk3_0
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(csr,[status(thm)],[157,144]) ).

cnf(196,negated_conjecture,
    ( requalityOnA(esk5_0,esk6_0)
    | requalityOnA(esk3_0,esk4_0) ),
    inference(csr,[status(thm)],[176,171]) ).

cnf(197,negated_conjecture,
    ( cA(esk6_0)
    | requalityOnA(esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[57,196,theory(equality)]) ).

cnf(198,negated_conjecture,
    ( X1 = esk5_0
    | requalityOnA(esk3_0,esk4_0)
    | ~ requalityOnA(X1,esk6_0) ),
    inference(spm,[status(thm)],[43,196,theory(equality)]) ).

cnf(199,negated_conjecture,
    ( requalityOnA(esk3_0,esk4_0)
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(csr,[status(thm)],[185,180]) ).

cnf(200,negated_conjecture,
    ( ia = esk6_0
    | ib = esk6_0
    | ib != esk3_0 ),
    inference(spm,[status(thm)],[40,187,theory(equality)]) ).

cnf(201,negated_conjecture,
    ( ia = esk6_0
    | ib = esk6_0
    | requalityOnA(esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[40,197,theory(equality)]) ).

cnf(202,negated_conjecture,
    ( cA(esk4_0)
    | ib = esk6_0
    | esk6_0 = ia ),
    inference(spm,[status(thm)],[57,201,theory(equality)]) ).

cnf(204,negated_conjecture,
    ( esk3_0 != ia
    | ~ requalityOnA(esk6_0,esk5_0) ),
    inference(csr,[status(thm)],[162,148]) ).

cnf(205,negated_conjecture,
    ( ia = esk4_0
    | ib = esk4_0
    | esk6_0 = ia
    | ib = esk6_0 ),
    inference(spm,[status(thm)],[40,202,theory(equality)]) ).

cnf(207,negated_conjecture,
    ( ib = esk6_0
    | esk6_0 = ia
    | requalityOnA(esk3_0,ib)
    | esk4_0 = ia ),
    inference(spm,[status(thm)],[201,205,theory(equality)]) ).

cnf(210,negated_conjecture,
    ( ia = esk6_0
    | ib = esk6_0
    | esk3_0 != ia ),
    inference(spm,[status(thm)],[40,190,theory(equality)]) ).

cnf(223,negated_conjecture,
    ( esk3_0 = ib
    | esk4_0 = ia
    | esk6_0 = ia
    | ib = esk6_0 ),
    inference(spm,[status(thm)],[116,207,theory(equality)]) ).

cnf(225,negated_conjecture,
    ( ib = esk6_0
    | esk6_0 = ia
    | esk4_0 = ia ),
    inference(csr,[status(thm)],[223,200]) ).

cnf(226,negated_conjecture,
    ( ib = esk6_0
    | esk6_0 = ia
    | requalityOnA(esk3_0,ia) ),
    inference(spm,[status(thm)],[201,225,theory(equality)]) ).

cnf(233,negated_conjecture,
    ( esk3_0 = ia
    | esk6_0 = ia
    | ib = esk6_0 ),
    inference(spm,[status(thm)],[117,226,theory(equality)]) ).

cnf(235,negated_conjecture,
    ( ib = esk6_0
    | esk6_0 = ia ),
    inference(csr,[status(thm)],[233,210]) ).

cnf(236,negated_conjecture,
    ( requalityOnA(esk6_0,esk6_0)
    | esk6_0 = ia ),
    inference(spm,[status(thm)],[63,235,theory(equality)]) ).

cnf(239,negated_conjecture,
    ( cA(esk6_0)
    | esk6_0 = ia ),
    inference(spm,[status(thm)],[57,236,theory(equality)]) ).

cnf(241,negated_conjecture,
    ( esk6_0 = esk5_0
    | esk6_0 = ia
    | ib != esk3_0 ),
    inference(spm,[status(thm)],[188,236,theory(equality)]) ).

cnf(242,negated_conjecture,
    cA(esk6_0),
    inference(csr,[status(thm)],[239,38]) ).

cnf(250,negated_conjecture,
    ( esk6_0 = esk5_0
    | esk6_0 = ia
    | esk3_0 != ia ),
    inference(spm,[status(thm)],[191,236,theory(equality)]) ).

cnf(254,negated_conjecture,
    ( requalityOnA(esk5_0,esk5_0)
    | esk6_0 = ia
    | esk3_0 != ia ),
    inference(spm,[status(thm)],[189,250,theory(equality)]) ).

cnf(259,negated_conjecture,
    ( esk6_0 = ia
    | esk3_0 != ia
    | ~ requalityOnA(esk5_0,esk5_0) ),
    inference(spm,[status(thm)],[204,250,theory(equality)]) ).

cnf(278,negated_conjecture,
    ( esk6_0 = ia
    | esk3_0 != ia ),
    inference(csr,[status(thm)],[259,254]) ).

cnf(281,negated_conjecture,
    ( requalityOnA(esk5_0,ia)
    | esk3_0 != ia ),
    inference(spm,[status(thm)],[189,278,theory(equality)]) ).

cnf(286,negated_conjecture,
    ( esk3_0 != ia
    | ~ requalityOnA(ia,esk5_0) ),
    inference(spm,[status(thm)],[204,278,theory(equality)]) ).

cnf(293,negated_conjecture,
    ( esk5_0 = ia
    | esk3_0 != ia ),
    inference(spm,[status(thm)],[117,281,theory(equality)]) ).

cnf(312,negated_conjecture,
    ( esk3_0 != ia
    | ~ requalityOnA(ia,ia) ),
    inference(spm,[status(thm)],[286,293,theory(equality)]) ).

cnf(313,negated_conjecture,
    ( esk3_0 != ia
    | $false ),
    inference(rw,[status(thm)],[312,62,theory(equality)]) ).

cnf(314,negated_conjecture,
    esk3_0 != ia,
    inference(cn,[status(thm)],[313,theory(equality)]) ).

cnf(321,negated_conjecture,
    ( esk6_0 = esk5_0
    | requalityOnA(esk3_0,esk4_0)
    | esk6_0 = ia ),
    inference(spm,[status(thm)],[198,236,theory(equality)]) ).

cnf(329,negated_conjecture,
    ( cA(esk4_0)
    | esk6_0 = ia
    | esk6_0 = esk5_0 ),
    inference(spm,[status(thm)],[57,321,theory(equality)]) ).

cnf(333,negated_conjecture,
    ( ia = esk4_0
    | ib = esk4_0
    | esk6_0 = esk5_0
    | esk6_0 = ia ),
    inference(spm,[status(thm)],[40,329,theory(equality)]) ).

cnf(335,negated_conjecture,
    ( esk6_0 = ia
    | esk6_0 = esk5_0
    | requalityOnA(esk3_0,ib)
    | esk4_0 = ia ),
    inference(spm,[status(thm)],[321,333,theory(equality)]) ).

cnf(351,negated_conjecture,
    ( esk3_0 = ib
    | esk4_0 = ia
    | esk6_0 = esk5_0
    | esk6_0 = ia ),
    inference(spm,[status(thm)],[116,335,theory(equality)]) ).

cnf(354,negated_conjecture,
    ( esk6_0 = ia
    | esk6_0 = esk5_0
    | esk4_0 = ia ),
    inference(csr,[status(thm)],[351,241]) ).

cnf(355,negated_conjecture,
    ( esk6_0 = ia
    | esk6_0 = esk5_0
    | requalityOnA(esk3_0,ia) ),
    inference(spm,[status(thm)],[321,354,theory(equality)]) ).

cnf(360,negated_conjecture,
    ( esk3_0 = ia
    | esk6_0 = esk5_0
    | esk6_0 = ia ),
    inference(spm,[status(thm)],[117,355,theory(equality)]) ).

cnf(362,negated_conjecture,
    ( esk6_0 = esk5_0
    | esk6_0 = ia ),
    inference(sr,[status(thm)],[360,314,theory(equality)]) ).

cnf(363,negated_conjecture,
    ( esk6_0 = ia
    | esk5_0 != ia ),
    inference(ef,[status(thm)],[362,theory(equality)]) ).

cnf(364,negated_conjecture,
    ( cA(esk5_0)
    | esk6_0 = ia ),
    inference(spm,[status(thm)],[242,362,theory(equality)]) ).

cnf(368,negated_conjecture,
    ( esk6_0 = ia
    | ib != esk3_0
    | ~ requalityOnA(esk5_0,esk5_0) ),
    inference(spm,[status(thm)],[195,362,theory(equality)]) ).

cnf(370,negated_conjecture,
    ( requalityOnA(esk3_0,esk4_0)
    | esk6_0 = ia
    | ~ requalityOnA(esk5_0,esk5_0) ),
    inference(spm,[status(thm)],[199,362,theory(equality)]) ).

cnf(402,negated_conjecture,
    ( ia = esk5_0
    | ib = esk5_0
    | esk6_0 = ia ),
    inference(spm,[status(thm)],[40,364,theory(equality)]) ).

cnf(405,negated_conjecture,
    ( esk6_0 = ia
    | ib = esk5_0 ),
    inference(csr,[status(thm)],[402,363]) ).

cnf(406,negated_conjecture,
    ( requalityOnA(esk5_0,esk5_0)
    | esk6_0 = ia ),
    inference(spm,[status(thm)],[63,405,theory(equality)]) ).

cnf(416,negated_conjecture,
    ( esk6_0 = ia
    | ib != esk3_0 ),
    inference(csr,[status(thm)],[368,406]) ).

cnf(442,negated_conjecture,
    ( esk6_0 = ia
    | requalityOnA(esk3_0,esk4_0) ),
    inference(csr,[status(thm)],[370,406]) ).

cnf(443,negated_conjecture,
    ( cA(esk4_0)
    | esk6_0 = ia ),
    inference(spm,[status(thm)],[57,442,theory(equality)]) ).

cnf(447,negated_conjecture,
    ( ia = esk4_0
    | ib = esk4_0
    | esk6_0 = ia ),
    inference(spm,[status(thm)],[40,443,theory(equality)]) ).

cnf(449,negated_conjecture,
    ( esk6_0 = ia
    | requalityOnA(esk3_0,ib)
    | esk4_0 = ia ),
    inference(spm,[status(thm)],[442,447,theory(equality)]) ).

cnf(506,negated_conjecture,
    ( esk3_0 = ib
    | esk4_0 = ia
    | esk6_0 = ia ),
    inference(spm,[status(thm)],[116,449,theory(equality)]) ).

cnf(510,negated_conjecture,
    ( esk6_0 = ia
    | esk4_0 = ia ),
    inference(csr,[status(thm)],[506,416]) ).

cnf(511,negated_conjecture,
    ( esk6_0 = ia
    | requalityOnA(esk3_0,ia) ),
    inference(spm,[status(thm)],[442,510,theory(equality)]) ).

cnf(516,negated_conjecture,
    ( esk3_0 = ia
    | esk6_0 = ia ),
    inference(spm,[status(thm)],[117,511,theory(equality)]) ).

cnf(518,negated_conjecture,
    esk6_0 = ia,
    inference(sr,[status(thm)],[516,314,theory(equality)]) ).

cnf(539,negated_conjecture,
    ( X1 = esk5_0
    | requalityOnA(esk3_0,esk4_0)
    | ~ requalityOnA(X1,ia) ),
    inference(rw,[status(thm)],[198,518,theory(equality)]) ).

cnf(553,negated_conjecture,
    ( requalityOnA(esk3_0,esk4_0)
    | ~ requalityOnA(ia,esk5_0) ),
    inference(rw,[status(thm)],[199,518,theory(equality)]) ).

cnf(555,negated_conjecture,
    ( ib != esk3_0
    | ~ requalityOnA(ia,esk5_0) ),
    inference(rw,[status(thm)],[195,518,theory(equality)]) ).

cnf(558,negated_conjecture,
    ( requalityOnA(esk5_0,ia)
    | ib != esk3_0 ),
    inference(rw,[status(thm)],[186,518,theory(equality)]) ).

cnf(559,negated_conjecture,
    ( ia = esk5_0
    | requalityOnA(esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[539,62,theory(equality)]) ).

cnf(560,negated_conjecture,
    ( cA(esk4_0)
    | esk5_0 = ia ),
    inference(spm,[status(thm)],[57,559,theory(equality)]) ).

cnf(562,negated_conjecture,
    ( ia = esk4_0
    | ib = esk4_0
    | esk5_0 = ia ),
    inference(spm,[status(thm)],[40,560,theory(equality)]) ).

cnf(564,negated_conjecture,
    ( esk5_0 = ia
    | requalityOnA(esk3_0,ib)
    | esk4_0 = ia ),
    inference(spm,[status(thm)],[559,562,theory(equality)]) ).

cnf(582,negated_conjecture,
    ( esk5_0 = ia
    | ib != esk3_0 ),
    inference(spm,[status(thm)],[117,558,theory(equality)]) ).

cnf(601,negated_conjecture,
    ( esk3_0 = ib
    | esk4_0 = ia
    | esk5_0 = ia ),
    inference(spm,[status(thm)],[116,564,theory(equality)]) ).

cnf(603,negated_conjecture,
    ( esk5_0 = ia
    | esk4_0 = ia ),
    inference(csr,[status(thm)],[601,582]) ).

cnf(604,negated_conjecture,
    ( esk5_0 = ia
    | requalityOnA(esk3_0,ia) ),
    inference(spm,[status(thm)],[559,603,theory(equality)]) ).

cnf(610,negated_conjecture,
    ( esk3_0 = ia
    | esk5_0 = ia ),
    inference(spm,[status(thm)],[117,604,theory(equality)]) ).

cnf(614,negated_conjecture,
    esk5_0 = ia,
    inference(sr,[status(thm)],[610,314,theory(equality)]) ).

cnf(619,negated_conjecture,
    ( requalityOnA(esk3_0,esk4_0)
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[553,614,theory(equality)]),62,theory(equality)]) ).

cnf(620,negated_conjecture,
    requalityOnA(esk3_0,esk4_0),
    inference(cn,[status(thm)],[619,theory(equality)]) ).

cnf(624,negated_conjecture,
    ( ib != esk3_0
    | $false ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[555,614,theory(equality)]),62,theory(equality)]) ).

cnf(625,negated_conjecture,
    ib != esk3_0,
    inference(cn,[status(thm)],[624,theory(equality)]) ).

cnf(640,negated_conjecture,
    cA(esk4_0),
    inference(spm,[status(thm)],[57,620,theory(equality)]) ).

cnf(644,negated_conjecture,
    ( ia = esk4_0
    | ib = esk4_0 ),
    inference(spm,[status(thm)],[40,640,theory(equality)]) ).

cnf(646,negated_conjecture,
    ( requalityOnA(esk3_0,ib)
    | esk4_0 = ia ),
    inference(spm,[status(thm)],[620,644,theory(equality)]) ).

cnf(654,negated_conjecture,
    ( esk3_0 = ib
    | esk4_0 = ia ),
    inference(spm,[status(thm)],[116,646,theory(equality)]) ).

cnf(656,negated_conjecture,
    esk4_0 = ia,
    inference(sr,[status(thm)],[654,625,theory(equality)]) ).

cnf(659,negated_conjecture,
    requalityOnA(esk3_0,ia),
    inference(rw,[status(thm)],[620,656,theory(equality)]) ).

cnf(666,negated_conjecture,
    esk3_0 = ia,
    inference(spm,[status(thm)],[117,659,theory(equality)]) ).

cnf(668,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[666,314,theory(equality)]) ).

cnf(669,negated_conjecture,
    $false,
    668,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS138+1.p
% --creating new selector for []
% -running prover on /tmp/tmpZ1JR51/sel_KRS138+1.p_1 with time limit 29
% -prover status Theorem
% Problem KRS138+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS138+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS138+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
% 
%------------------------------------------------------------------------------