TSTP Solution File: KRS146+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : KRS146+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 13:02:47 EST 2010

% Result   : Theorem 0.32s
% Output   : CNFRefutation 0.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  149 (  44 unt;   0 def)
%            Number of atoms       :  615 (   0 equ)
%            Maximal formula atoms :   26 (   4 avg)
%            Number of connectives :  842 ( 376   ~; 343   |; 104   &)
%                                         (  19 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   25 (  24 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   72 (   2 sgn  51   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ~ cC92(iV822576),
    file('/tmp/tmpZI8o54/sel_KRS146+1.p_1',axiom_78) ).

fof(2,axiom,
    ~ cC108(iV822576),
    file('/tmp/tmpZI8o54/sel_KRS146+1.p_1',axiom_79) ).

fof(3,axiom,
    ~ cC96(iV822576),
    file('/tmp/tmpZI8o54/sel_KRS146+1.p_1',axiom_76) ).

fof(4,axiom,
    ~ cC86(iV822576),
    file('/tmp/tmpZI8o54/sel_KRS146+1.p_1',axiom_77) ).

fof(5,axiom,
    cC34(iV822576),
    file('/tmp/tmpZI8o54/sel_KRS146+1.p_1',axiom_74) ).

fof(6,axiom,
    cC4(iV822576),
    file('/tmp/tmpZI8o54/sel_KRS146+1.p_1',axiom_75) ).

fof(9,axiom,
    ~ cC102(iV822576),
    file('/tmp/tmpZI8o54/sel_KRS146+1.p_1',axiom_70) ).

fof(10,axiom,
    ~ cC134(iV822576),
    file('/tmp/tmpZI8o54/sel_KRS146+1.p_1',axiom_71) ).

fof(16,axiom,
    ! [X1] :
      ( cC94(X1)
    <=> ( ~ cC86(X1)
        & ~ cC92(X1) ) ),
    file('/tmp/tmpZI8o54/sel_KRS146+1.p_1',axiom_64) ).

fof(25,axiom,
    ! [X1] :
      ( cC116(X1)
    <=> ( cC114(X1)
        & cC80(X1) ) ),
    file('/tmp/tmpZI8o54/sel_KRS146+1.p_1',axiom_10) ).

fof(33,axiom,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    file('/tmp/tmpZI8o54/sel_KRS146+1.p_1',axiom_0) ).

fof(34,axiom,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    file('/tmp/tmpZI8o54/sel_KRS146+1.p_1',axiom_1) ).

fof(36,axiom,
    ! [X1] :
      ( cC110(X1)
    <=> ( ~ cC102(X1)
        & ~ cC108(X1) ) ),
    file('/tmp/tmpZI8o54/sel_KRS146+1.p_1',axiom_7) ).

fof(40,axiom,
    ! [X1] :
      ( cC114(X1)
    <=> ( ~ cC96(X1)
        & ~ cC112(X1) ) ),
    file('/tmp/tmpZI8o54/sel_KRS146+1.p_1',axiom_9) ).

fof(43,axiom,
    ~ cC78(iV822576),
    file('/tmp/tmpZI8o54/sel_KRS146+1.p_1',axiom_88) ).

fof(44,axiom,
    ~ cC112(iV822576),
    file('/tmp/tmpZI8o54/sel_KRS146+1.p_1',axiom_87) ).

fof(45,axiom,
    ~ cC76(iV822576),
    file('/tmp/tmpZI8o54/sel_KRS146+1.p_1',axiom_86) ).

fof(47,axiom,
    ~ cC10(iV822576),
    file('/tmp/tmpZI8o54/sel_KRS146+1.p_1',axiom_84) ).

fof(52,conjecture,
    ( ! [X1] :
        ( cowlThing(X1)
        & ~ cowlNothing(X1) )
    & ! [X1] :
        ( xsd_string(X1)
      <=> ~ xsd_integer(X1) )
    & cC94(iV822576)
    & cowlThing(iV822576)
    & cC58(iV822576)
    & cC116(iV822576)
    & cC56(iV822576)
    & cC110(iV822576)
    & cC114(iV822576)
    & cC136(iV822576)
    & cC80(iV822576) ),
    file('/tmp/tmpZI8o54/sel_KRS146+1.p_1',the_axiom) ).

fof(72,axiom,
    ! [X1] :
      ( cC80(X1)
    <=> ( ~ cC78(X1)
        & ~ cC76(X1) ) ),
    file('/tmp/tmpZI8o54/sel_KRS146+1.p_1',axiom_57) ).

fof(79,axiom,
    ! [X1] :
      ( cC136(X1)
    <=> ( cC116(X1)
        & ~ cC134(X1) ) ),
    file('/tmp/tmpZI8o54/sel_KRS146+1.p_1',axiom_21) ).

fof(85,axiom,
    ! [X1] :
      ( cC56(X1)
    <=> ( cC4(X1)
        & ~ cC10(X1) ) ),
    file('/tmp/tmpZI8o54/sel_KRS146+1.p_1',axiom_43) ).

fof(92,axiom,
    ! [X1] :
      ( cC58(X1)
    <=> ( cC34(X1)
        & cC56(X1) ) ),
    file('/tmp/tmpZI8o54/sel_KRS146+1.p_1',axiom_44) ).

fof(93,negated_conjecture,
    ~ ( ! [X1] :
          ( cowlThing(X1)
          & ~ cowlNothing(X1) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & cC94(iV822576)
      & cowlThing(iV822576)
      & cC58(iV822576)
      & cC116(iV822576)
      & cC56(iV822576)
      & cC110(iV822576)
      & cC114(iV822576)
      & cC136(iV822576)
      & cC80(iV822576) ),
    inference(assume_negation,[status(cth)],[52]) ).

fof(94,plain,
    ~ cC92(iV822576),
    inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).

fof(95,plain,
    ~ cC108(iV822576),
    inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).

fof(96,plain,
    ~ cC96(iV822576),
    inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).

fof(97,plain,
    ~ cC86(iV822576),
    inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).

fof(99,plain,
    ~ cC102(iV822576),
    inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).

fof(100,plain,
    ~ cC134(iV822576),
    inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).

fof(103,plain,
    ! [X1] :
      ( cC94(X1)
    <=> ( ~ cC86(X1)
        & ~ cC92(X1) ) ),
    inference(fof_simplification,[status(thm)],[16,theory(equality)]) ).

fof(112,plain,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    inference(fof_simplification,[status(thm)],[33,theory(equality)]) ).

fof(113,plain,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    inference(fof_simplification,[status(thm)],[34,theory(equality)]) ).

fof(115,plain,
    ! [X1] :
      ( cC110(X1)
    <=> ( ~ cC102(X1)
        & ~ cC108(X1) ) ),
    inference(fof_simplification,[status(thm)],[36,theory(equality)]) ).

fof(117,plain,
    ! [X1] :
      ( cC114(X1)
    <=> ( ~ cC96(X1)
        & ~ cC112(X1) ) ),
    inference(fof_simplification,[status(thm)],[40,theory(equality)]) ).

fof(119,plain,
    ~ cC78(iV822576),
    inference(fof_simplification,[status(thm)],[43,theory(equality)]) ).

fof(120,plain,
    ~ cC112(iV822576),
    inference(fof_simplification,[status(thm)],[44,theory(equality)]) ).

fof(121,plain,
    ~ cC76(iV822576),
    inference(fof_simplification,[status(thm)],[45,theory(equality)]) ).

fof(123,plain,
    ~ cC10(iV822576),
    inference(fof_simplification,[status(thm)],[47,theory(equality)]) ).

fof(127,negated_conjecture,
    ~ ( ! [X1] :
          ( cowlThing(X1)
          & ~ cowlNothing(X1) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & cC94(iV822576)
      & cowlThing(iV822576)
      & cC58(iV822576)
      & cC116(iV822576)
      & cC56(iV822576)
      & cC110(iV822576)
      & cC114(iV822576)
      & cC136(iV822576)
      & cC80(iV822576) ),
    inference(fof_simplification,[status(thm)],[93,theory(equality)]) ).

fof(141,plain,
    ! [X1] :
      ( cC80(X1)
    <=> ( ~ cC78(X1)
        & ~ cC76(X1) ) ),
    inference(fof_simplification,[status(thm)],[72,theory(equality)]) ).

fof(144,plain,
    ! [X1] :
      ( cC136(X1)
    <=> ( cC116(X1)
        & ~ cC134(X1) ) ),
    inference(fof_simplification,[status(thm)],[79,theory(equality)]) ).

fof(149,plain,
    ! [X1] :
      ( cC56(X1)
    <=> ( cC4(X1)
        & ~ cC10(X1) ) ),
    inference(fof_simplification,[status(thm)],[85,theory(equality)]) ).

cnf(154,plain,
    ~ cC92(iV822576),
    inference(split_conjunct,[status(thm)],[94]) ).

cnf(155,plain,
    ~ cC108(iV822576),
    inference(split_conjunct,[status(thm)],[95]) ).

cnf(156,plain,
    ~ cC96(iV822576),
    inference(split_conjunct,[status(thm)],[96]) ).

cnf(157,plain,
    ~ cC86(iV822576),
    inference(split_conjunct,[status(thm)],[97]) ).

cnf(158,plain,
    cC34(iV822576),
    inference(split_conjunct,[status(thm)],[5]) ).

cnf(159,plain,
    cC4(iV822576),
    inference(split_conjunct,[status(thm)],[6]) ).

cnf(164,plain,
    ~ cC102(iV822576),
    inference(split_conjunct,[status(thm)],[99]) ).

cnf(165,plain,
    ~ cC134(iV822576),
    inference(split_conjunct,[status(thm)],[100]) ).

fof(198,plain,
    ! [X1] :
      ( ( ~ cC94(X1)
        | ( ~ cC86(X1)
          & ~ cC92(X1) ) )
      & ( cC86(X1)
        | cC92(X1)
        | cC94(X1) ) ),
    inference(fof_nnf,[status(thm)],[103]) ).

fof(199,plain,
    ! [X2] :
      ( ( ~ cC94(X2)
        | ( ~ cC86(X2)
          & ~ cC92(X2) ) )
      & ( cC86(X2)
        | cC92(X2)
        | cC94(X2) ) ),
    inference(variable_rename,[status(thm)],[198]) ).

fof(200,plain,
    ! [X2] :
      ( ( ~ cC86(X2)
        | ~ cC94(X2) )
      & ( ~ cC92(X2)
        | ~ cC94(X2) )
      & ( cC86(X2)
        | cC92(X2)
        | cC94(X2) ) ),
    inference(distribute,[status(thm)],[199]) ).

cnf(201,plain,
    ( cC94(X1)
    | cC92(X1)
    | cC86(X1) ),
    inference(split_conjunct,[status(thm)],[200]) ).

fof(246,plain,
    ! [X1] :
      ( ( ~ cC116(X1)
        | ( cC114(X1)
          & cC80(X1) ) )
      & ( ~ cC114(X1)
        | ~ cC80(X1)
        | cC116(X1) ) ),
    inference(fof_nnf,[status(thm)],[25]) ).

fof(247,plain,
    ! [X2] :
      ( ( ~ cC116(X2)
        | ( cC114(X2)
          & cC80(X2) ) )
      & ( ~ cC114(X2)
        | ~ cC80(X2)
        | cC116(X2) ) ),
    inference(variable_rename,[status(thm)],[246]) ).

fof(248,plain,
    ! [X2] :
      ( ( cC114(X2)
        | ~ cC116(X2) )
      & ( cC80(X2)
        | ~ cC116(X2) )
      & ( ~ cC114(X2)
        | ~ cC80(X2)
        | cC116(X2) ) ),
    inference(distribute,[status(thm)],[247]) ).

cnf(249,plain,
    ( cC116(X1)
    | ~ cC80(X1)
    | ~ cC114(X1) ),
    inference(split_conjunct,[status(thm)],[248]) ).

cnf(250,plain,
    ( cC80(X1)
    | ~ cC116(X1) ),
    inference(split_conjunct,[status(thm)],[248]) ).

cnf(251,plain,
    ( cC114(X1)
    | ~ cC116(X1) ),
    inference(split_conjunct,[status(thm)],[248]) ).

fof(296,plain,
    ! [X2] :
      ( cowlThing(X2)
      & ~ cowlNothing(X2) ),
    inference(variable_rename,[status(thm)],[112]) ).

cnf(297,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[296]) ).

cnf(298,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[296]) ).

fof(299,plain,
    ! [X1] :
      ( ( ~ xsd_string(X1)
        | ~ xsd_integer(X1) )
      & ( xsd_integer(X1)
        | xsd_string(X1) ) ),
    inference(fof_nnf,[status(thm)],[113]) ).

fof(300,plain,
    ! [X2] :
      ( ( ~ xsd_string(X2)
        | ~ xsd_integer(X2) )
      & ( xsd_integer(X2)
        | xsd_string(X2) ) ),
    inference(variable_rename,[status(thm)],[299]) ).

cnf(301,plain,
    ( xsd_string(X1)
    | xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[300]) ).

cnf(302,plain,
    ( ~ xsd_integer(X1)
    | ~ xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[300]) ).

fof(309,plain,
    ! [X1] :
      ( ( ~ cC110(X1)
        | ( ~ cC102(X1)
          & ~ cC108(X1) ) )
      & ( cC102(X1)
        | cC108(X1)
        | cC110(X1) ) ),
    inference(fof_nnf,[status(thm)],[115]) ).

fof(310,plain,
    ! [X2] :
      ( ( ~ cC110(X2)
        | ( ~ cC102(X2)
          & ~ cC108(X2) ) )
      & ( cC102(X2)
        | cC108(X2)
        | cC110(X2) ) ),
    inference(variable_rename,[status(thm)],[309]) ).

fof(311,plain,
    ! [X2] :
      ( ( ~ cC102(X2)
        | ~ cC110(X2) )
      & ( ~ cC108(X2)
        | ~ cC110(X2) )
      & ( cC102(X2)
        | cC108(X2)
        | cC110(X2) ) ),
    inference(distribute,[status(thm)],[310]) ).

cnf(312,plain,
    ( cC110(X1)
    | cC108(X1)
    | cC102(X1) ),
    inference(split_conjunct,[status(thm)],[311]) ).

fof(335,plain,
    ! [X1] :
      ( ( ~ cC114(X1)
        | ( ~ cC96(X1)
          & ~ cC112(X1) ) )
      & ( cC96(X1)
        | cC112(X1)
        | cC114(X1) ) ),
    inference(fof_nnf,[status(thm)],[117]) ).

fof(336,plain,
    ! [X2] :
      ( ( ~ cC114(X2)
        | ( ~ cC96(X2)
          & ~ cC112(X2) ) )
      & ( cC96(X2)
        | cC112(X2)
        | cC114(X2) ) ),
    inference(variable_rename,[status(thm)],[335]) ).

fof(337,plain,
    ! [X2] :
      ( ( ~ cC96(X2)
        | ~ cC114(X2) )
      & ( ~ cC112(X2)
        | ~ cC114(X2) )
      & ( cC96(X2)
        | cC112(X2)
        | cC114(X2) ) ),
    inference(distribute,[status(thm)],[336]) ).

cnf(338,plain,
    ( cC114(X1)
    | cC112(X1)
    | cC96(X1) ),
    inference(split_conjunct,[status(thm)],[337]) ).

cnf(345,plain,
    ~ cC78(iV822576),
    inference(split_conjunct,[status(thm)],[119]) ).

cnf(346,plain,
    ~ cC112(iV822576),
    inference(split_conjunct,[status(thm)],[120]) ).

cnf(347,plain,
    ~ cC76(iV822576),
    inference(split_conjunct,[status(thm)],[121]) ).

cnf(349,plain,
    ~ cC10(iV822576),
    inference(split_conjunct,[status(thm)],[123]) ).

fof(356,negated_conjecture,
    ( ? [X1] :
        ( ~ cowlThing(X1)
        | cowlNothing(X1) )
    | ? [X1] :
        ( ( ~ xsd_string(X1)
          | xsd_integer(X1) )
        & ( xsd_string(X1)
          | ~ xsd_integer(X1) ) )
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC56(iV822576)
    | ~ cC110(iV822576)
    | ~ cC114(iV822576)
    | ~ cC136(iV822576)
    | ~ cC80(iV822576) ),
    inference(fof_nnf,[status(thm)],[127]) ).

fof(357,negated_conjecture,
    ( ? [X2] :
        ( ~ cowlThing(X2)
        | cowlNothing(X2) )
    | ? [X3] :
        ( ( ~ xsd_string(X3)
          | xsd_integer(X3) )
        & ( xsd_string(X3)
          | ~ xsd_integer(X3) ) )
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC56(iV822576)
    | ~ cC110(iV822576)
    | ~ cC114(iV822576)
    | ~ cC136(iV822576)
    | ~ cC80(iV822576) ),
    inference(variable_rename,[status(thm)],[356]) ).

fof(358,negated_conjecture,
    ( ~ cowlThing(esk6_0)
    | cowlNothing(esk6_0)
    | ( ( ~ xsd_string(esk7_0)
        | xsd_integer(esk7_0) )
      & ( xsd_string(esk7_0)
        | ~ xsd_integer(esk7_0) ) )
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC56(iV822576)
    | ~ cC110(iV822576)
    | ~ cC114(iV822576)
    | ~ cC136(iV822576)
    | ~ cC80(iV822576) ),
    inference(skolemize,[status(esa)],[357]) ).

fof(359,negated_conjecture,
    ( ( ~ xsd_string(esk7_0)
      | xsd_integer(esk7_0)
      | ~ cowlThing(esk6_0)
      | cowlNothing(esk6_0)
      | ~ cC94(iV822576)
      | ~ cowlThing(iV822576)
      | ~ cC58(iV822576)
      | ~ cC116(iV822576)
      | ~ cC56(iV822576)
      | ~ cC110(iV822576)
      | ~ cC114(iV822576)
      | ~ cC136(iV822576)
      | ~ cC80(iV822576) )
    & ( xsd_string(esk7_0)
      | ~ xsd_integer(esk7_0)
      | ~ cowlThing(esk6_0)
      | cowlNothing(esk6_0)
      | ~ cC94(iV822576)
      | ~ cowlThing(iV822576)
      | ~ cC58(iV822576)
      | ~ cC116(iV822576)
      | ~ cC56(iV822576)
      | ~ cC110(iV822576)
      | ~ cC114(iV822576)
      | ~ cC136(iV822576)
      | ~ cC80(iV822576) ) ),
    inference(distribute,[status(thm)],[358]) ).

cnf(360,negated_conjecture,
    ( cowlNothing(esk6_0)
    | xsd_string(esk7_0)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(esk6_0)
    | ~ xsd_integer(esk7_0) ),
    inference(split_conjunct,[status(thm)],[359]) ).

cnf(361,negated_conjecture,
    ( cowlNothing(esk6_0)
    | xsd_integer(esk7_0)
    | ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(esk6_0)
    | ~ xsd_string(esk7_0) ),
    inference(split_conjunct,[status(thm)],[359]) ).

fof(482,plain,
    ! [X1] :
      ( ( ~ cC80(X1)
        | ( ~ cC78(X1)
          & ~ cC76(X1) ) )
      & ( cC78(X1)
        | cC76(X1)
        | cC80(X1) ) ),
    inference(fof_nnf,[status(thm)],[141]) ).

fof(483,plain,
    ! [X2] :
      ( ( ~ cC80(X2)
        | ( ~ cC78(X2)
          & ~ cC76(X2) ) )
      & ( cC78(X2)
        | cC76(X2)
        | cC80(X2) ) ),
    inference(variable_rename,[status(thm)],[482]) ).

fof(484,plain,
    ! [X2] :
      ( ( ~ cC78(X2)
        | ~ cC80(X2) )
      & ( ~ cC76(X2)
        | ~ cC80(X2) )
      & ( cC78(X2)
        | cC76(X2)
        | cC80(X2) ) ),
    inference(distribute,[status(thm)],[483]) ).

cnf(485,plain,
    ( cC80(X1)
    | cC76(X1)
    | cC78(X1) ),
    inference(split_conjunct,[status(thm)],[484]) ).

fof(528,plain,
    ! [X1] :
      ( ( ~ cC136(X1)
        | ( cC116(X1)
          & ~ cC134(X1) ) )
      & ( ~ cC116(X1)
        | cC134(X1)
        | cC136(X1) ) ),
    inference(fof_nnf,[status(thm)],[144]) ).

fof(529,plain,
    ! [X2] :
      ( ( ~ cC136(X2)
        | ( cC116(X2)
          & ~ cC134(X2) ) )
      & ( ~ cC116(X2)
        | cC134(X2)
        | cC136(X2) ) ),
    inference(variable_rename,[status(thm)],[528]) ).

fof(530,plain,
    ! [X2] :
      ( ( cC116(X2)
        | ~ cC136(X2) )
      & ( ~ cC134(X2)
        | ~ cC136(X2) )
      & ( ~ cC116(X2)
        | cC134(X2)
        | cC136(X2) ) ),
    inference(distribute,[status(thm)],[529]) ).

cnf(531,plain,
    ( cC136(X1)
    | cC134(X1)
    | ~ cC116(X1) ),
    inference(split_conjunct,[status(thm)],[530]) ).

cnf(533,plain,
    ( cC116(X1)
    | ~ cC136(X1) ),
    inference(split_conjunct,[status(thm)],[530]) ).

fof(568,plain,
    ! [X1] :
      ( ( ~ cC56(X1)
        | ( cC4(X1)
          & ~ cC10(X1) ) )
      & ( ~ cC4(X1)
        | cC10(X1)
        | cC56(X1) ) ),
    inference(fof_nnf,[status(thm)],[149]) ).

fof(569,plain,
    ! [X2] :
      ( ( ~ cC56(X2)
        | ( cC4(X2)
          & ~ cC10(X2) ) )
      & ( ~ cC4(X2)
        | cC10(X2)
        | cC56(X2) ) ),
    inference(variable_rename,[status(thm)],[568]) ).

fof(570,plain,
    ! [X2] :
      ( ( cC4(X2)
        | ~ cC56(X2) )
      & ( ~ cC10(X2)
        | ~ cC56(X2) )
      & ( ~ cC4(X2)
        | cC10(X2)
        | cC56(X2) ) ),
    inference(distribute,[status(thm)],[569]) ).

cnf(571,plain,
    ( cC56(X1)
    | cC10(X1)
    | ~ cC4(X1) ),
    inference(split_conjunct,[status(thm)],[570]) ).

fof(612,plain,
    ! [X1] :
      ( ( ~ cC58(X1)
        | ( cC34(X1)
          & cC56(X1) ) )
      & ( ~ cC34(X1)
        | ~ cC56(X1)
        | cC58(X1) ) ),
    inference(fof_nnf,[status(thm)],[92]) ).

fof(613,plain,
    ! [X2] :
      ( ( ~ cC58(X2)
        | ( cC34(X2)
          & cC56(X2) ) )
      & ( ~ cC34(X2)
        | ~ cC56(X2)
        | cC58(X2) ) ),
    inference(variable_rename,[status(thm)],[612]) ).

fof(614,plain,
    ! [X2] :
      ( ( cC34(X2)
        | ~ cC58(X2) )
      & ( cC56(X2)
        | ~ cC58(X2) )
      & ( ~ cC34(X2)
        | ~ cC56(X2)
        | cC58(X2) ) ),
    inference(distribute,[status(thm)],[613]) ).

cnf(615,plain,
    ( cC58(X1)
    | ~ cC56(X1)
    | ~ cC34(X1) ),
    inference(split_conjunct,[status(thm)],[614]) ).

cnf(616,plain,
    ( cC56(X1)
    | ~ cC58(X1) ),
    inference(split_conjunct,[status(thm)],[614]) ).

cnf(619,negated_conjecture,
    ( cowlNothing(esk6_0)
    | xsd_string(esk7_0)
    | ~ cC94(iV822576)
    | ~ cC116(iV822576)
    | ~ cC114(iV822576)
    | ~ cC80(iV822576)
    | $false
    | $false
    | ~ xsd_integer(esk7_0)
    | ~ cC110(iV822576)
    | ~ cC58(iV822576)
    | ~ cC56(iV822576)
    | ~ cC136(iV822576) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[360,298,theory(equality)]),298,theory(equality)]),
    [unfolding] ).

cnf(620,negated_conjecture,
    ( cowlNothing(esk6_0)
    | xsd_integer(esk7_0)
    | ~ cC94(iV822576)
    | ~ cC116(iV822576)
    | ~ cC114(iV822576)
    | ~ cC80(iV822576)
    | $false
    | $false
    | ~ xsd_string(esk7_0)
    | ~ cC110(iV822576)
    | ~ cC58(iV822576)
    | ~ cC56(iV822576)
    | ~ cC136(iV822576) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[361,298,theory(equality)]),298,theory(equality)]),
    [unfolding] ).

cnf(625,plain,
    ( cC136(iV822576)
    | ~ cC116(iV822576) ),
    inference(spm,[status(thm)],[165,531,theory(equality)]) ).

cnf(627,negated_conjecture,
    ( xsd_string(esk7_0)
    | ~ cC94(iV822576)
    | ~ cC116(iV822576)
    | ~ cC114(iV822576)
    | ~ cC80(iV822576)
    | ~ xsd_integer(esk7_0)
    | ~ cC110(iV822576)
    | ~ cC58(iV822576)
    | ~ cC56(iV822576)
    | ~ cC136(iV822576) ),
    inference(sr,[status(thm)],[619,297,theory(equality)]) ).

cnf(628,negated_conjecture,
    ( xsd_string(esk7_0)
    | ~ cC136(iV822576)
    | ~ cC58(iV822576)
    | ~ cC110(iV822576)
    | ~ xsd_integer(esk7_0)
    | ~ cC80(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC94(iV822576) ),
    inference(csr,[status(thm)],[627,616]) ).

cnf(629,negated_conjecture,
    ( xsd_string(esk7_0)
    | ~ cC136(iV822576)
    | ~ cC58(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC94(iV822576) ),
    inference(csr,[status(thm)],[628,301]) ).

cnf(630,negated_conjecture,
    ( xsd_string(esk7_0)
    | ~ cC136(iV822576)
    | ~ cC58(iV822576)
    | ~ cC110(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC94(iV822576) ),
    inference(csr,[status(thm)],[629,250]) ).

cnf(631,negated_conjecture,
    ( xsd_string(esk7_0)
    | ~ cC136(iV822576)
    | ~ cC58(iV822576)
    | ~ cC110(iV822576)
    | ~ cC116(iV822576)
    | ~ cC94(iV822576) ),
    inference(csr,[status(thm)],[630,251]) ).

cnf(632,negated_conjecture,
    ( xsd_string(esk7_0)
    | ~ cC136(iV822576)
    | ~ cC58(iV822576)
    | ~ cC110(iV822576)
    | ~ cC94(iV822576) ),
    inference(csr,[status(thm)],[631,533]) ).

cnf(633,negated_conjecture,
    ( xsd_integer(esk7_0)
    | ~ cC94(iV822576)
    | ~ cC116(iV822576)
    | ~ cC114(iV822576)
    | ~ cC80(iV822576)
    | ~ xsd_string(esk7_0)
    | ~ cC110(iV822576)
    | ~ cC58(iV822576)
    | ~ cC56(iV822576)
    | ~ cC136(iV822576) ),
    inference(sr,[status(thm)],[620,297,theory(equality)]) ).

cnf(634,negated_conjecture,
    ( xsd_integer(esk7_0)
    | ~ cC136(iV822576)
    | ~ cC58(iV822576)
    | ~ cC110(iV822576)
    | ~ xsd_string(esk7_0)
    | ~ cC80(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC94(iV822576) ),
    inference(csr,[status(thm)],[633,616]) ).

cnf(635,negated_conjecture,
    ( xsd_integer(esk7_0)
    | ~ cC136(iV822576)
    | ~ cC58(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC94(iV822576) ),
    inference(csr,[status(thm)],[634,301]) ).

cnf(636,negated_conjecture,
    ( xsd_integer(esk7_0)
    | ~ cC136(iV822576)
    | ~ cC58(iV822576)
    | ~ cC110(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC94(iV822576) ),
    inference(csr,[status(thm)],[635,250]) ).

cnf(637,negated_conjecture,
    ( xsd_integer(esk7_0)
    | ~ cC136(iV822576)
    | ~ cC58(iV822576)
    | ~ cC110(iV822576)
    | ~ cC116(iV822576)
    | ~ cC94(iV822576) ),
    inference(csr,[status(thm)],[636,251]) ).

cnf(638,negated_conjecture,
    ( xsd_integer(esk7_0)
    | ~ cC136(iV822576)
    | ~ cC58(iV822576)
    | ~ cC110(iV822576)
    | ~ cC94(iV822576) ),
    inference(csr,[status(thm)],[637,533]) ).

cnf(650,plain,
    ( cC94(iV822576)
    | cC92(iV822576) ),
    inference(spm,[status(thm)],[157,201,theory(equality)]) ).

cnf(653,plain,
    cC94(iV822576),
    inference(sr,[status(thm)],[650,154,theory(equality)]) ).

cnf(654,plain,
    ( cC110(iV822576)
    | cC108(iV822576) ),
    inference(spm,[status(thm)],[164,312,theory(equality)]) ).

cnf(657,plain,
    cC110(iV822576),
    inference(sr,[status(thm)],[654,155,theory(equality)]) ).

cnf(658,plain,
    ( cC114(iV822576)
    | cC96(iV822576) ),
    inference(spm,[status(thm)],[346,338,theory(equality)]) ).

cnf(662,plain,
    cC114(iV822576),
    inference(sr,[status(thm)],[658,156,theory(equality)]) ).

cnf(663,plain,
    ( cC78(iV822576)
    | cC80(iV822576) ),
    inference(spm,[status(thm)],[347,485,theory(equality)]) ).

cnf(666,plain,
    cC80(iV822576),
    inference(sr,[status(thm)],[663,345,theory(equality)]) ).

cnf(674,plain,
    ( cC58(X1)
    | cC10(X1)
    | ~ cC34(X1)
    | ~ cC4(X1) ),
    inference(spm,[status(thm)],[615,571,theory(equality)]) ).

cnf(973,negated_conjecture,
    ( xsd_integer(esk7_0)
    | ~ cC136(iV822576)
    | ~ cC58(iV822576)
    | ~ cC110(iV822576)
    | $false ),
    inference(rw,[status(thm)],[638,653,theory(equality)]) ).

cnf(974,negated_conjecture,
    ( xsd_integer(esk7_0)
    | ~ cC136(iV822576)
    | ~ cC58(iV822576)
    | ~ cC110(iV822576) ),
    inference(cn,[status(thm)],[973,theory(equality)]) ).

cnf(975,negated_conjecture,
    ( xsd_string(esk7_0)
    | ~ cC136(iV822576)
    | ~ cC58(iV822576)
    | ~ cC110(iV822576)
    | $false ),
    inference(rw,[status(thm)],[632,653,theory(equality)]) ).

cnf(976,negated_conjecture,
    ( xsd_string(esk7_0)
    | ~ cC136(iV822576)
    | ~ cC58(iV822576)
    | ~ cC110(iV822576) ),
    inference(cn,[status(thm)],[975,theory(equality)]) ).

cnf(980,negated_conjecture,
    ( xsd_integer(esk7_0)
    | ~ cC136(iV822576)
    | ~ cC58(iV822576)
    | $false ),
    inference(rw,[status(thm)],[974,657,theory(equality)]) ).

cnf(981,negated_conjecture,
    ( xsd_integer(esk7_0)
    | ~ cC136(iV822576)
    | ~ cC58(iV822576) ),
    inference(cn,[status(thm)],[980,theory(equality)]) ).

cnf(982,negated_conjecture,
    ( ~ xsd_string(esk7_0)
    | ~ cC136(iV822576)
    | ~ cC58(iV822576) ),
    inference(spm,[status(thm)],[302,981,theory(equality)]) ).

cnf(983,negated_conjecture,
    ( xsd_string(esk7_0)
    | ~ cC136(iV822576)
    | ~ cC58(iV822576)
    | $false ),
    inference(rw,[status(thm)],[976,657,theory(equality)]) ).

cnf(984,negated_conjecture,
    ( xsd_string(esk7_0)
    | ~ cC136(iV822576)
    | ~ cC58(iV822576) ),
    inference(cn,[status(thm)],[983,theory(equality)]) ).

cnf(985,negated_conjecture,
    ( ~ cC136(iV822576)
    | ~ cC58(iV822576) ),
    inference(csr,[status(thm)],[982,984]) ).

cnf(986,negated_conjecture,
    ( ~ cC58(iV822576)
    | ~ cC116(iV822576) ),
    inference(spm,[status(thm)],[985,625,theory(equality)]) ).

cnf(987,negated_conjecture,
    ( ~ cC58(iV822576)
    | ~ cC80(iV822576)
    | ~ cC114(iV822576) ),
    inference(spm,[status(thm)],[986,249,theory(equality)]) ).

cnf(988,negated_conjecture,
    ( ~ cC58(iV822576)
    | $false
    | ~ cC114(iV822576) ),
    inference(rw,[status(thm)],[987,666,theory(equality)]) ).

cnf(989,negated_conjecture,
    ( ~ cC58(iV822576)
    | $false
    | $false ),
    inference(rw,[status(thm)],[988,662,theory(equality)]) ).

cnf(990,negated_conjecture,
    ~ cC58(iV822576),
    inference(cn,[status(thm)],[989,theory(equality)]) ).

cnf(1074,negated_conjecture,
    ( cC10(iV822576)
    | ~ cC4(iV822576)
    | ~ cC34(iV822576) ),
    inference(spm,[status(thm)],[990,674,theory(equality)]) ).

cnf(1078,negated_conjecture,
    ( cC10(iV822576)
    | $false
    | ~ cC34(iV822576) ),
    inference(rw,[status(thm)],[1074,159,theory(equality)]) ).

cnf(1079,negated_conjecture,
    ( cC10(iV822576)
    | $false
    | $false ),
    inference(rw,[status(thm)],[1078,158,theory(equality)]) ).

cnf(1080,negated_conjecture,
    cC10(iV822576),
    inference(cn,[status(thm)],[1079,theory(equality)]) ).

cnf(1081,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[1080,349,theory(equality)]) ).

cnf(1082,negated_conjecture,
    $false,
    1081,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS146+1.p
% --creating new selector for []
% -running prover on /tmp/tmpZI8o54/sel_KRS146+1.p_1 with time limit 29
% -prover status Theorem
% Problem KRS146+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS146+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS146+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
% 
%------------------------------------------------------------------------------