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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : KRS154+1 : TPTP v5.0.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art03.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 13:03:22 EST 2010

% Result   : Theorem 0.35s
% Output   : CNFRefutation 0.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  138 (  35 unt;   0 def)
%            Number of atoms       :  599 (   0 equ)
%            Maximal formula atoms :   26 (   4 avg)
%            Number of connectives :  804 ( 343   ~; 350   |;  98   &)
%                                         (  13 <=>;   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   :   65 (   2 sgn  45   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(11,axiom,
    cC10xcomp(iV822576),
    file('/tmp/tmp1TDx_p/sel_KRS154+1.p_1',axiom_167) ).

fof(16,axiom,
    cC34(iV822576),
    file('/tmp/tmp1TDx_p/sel_KRS154+1.p_1',axiom_162) ).

fof(17,axiom,
    cC86xcomp(iV822576),
    file('/tmp/tmp1TDx_p/sel_KRS154+1.p_1',axiom_161) ).

fof(18,axiom,
    cC134xcomp(iV822576),
    file('/tmp/tmp1TDx_p/sel_KRS154+1.p_1',axiom_160) ).

fof(19,axiom,
    cC92xcomp(iV822576),
    file('/tmp/tmp1TDx_p/sel_KRS154+1.p_1',axiom_168) ).

fof(32,axiom,
    ! [X1] :
      ( cC110(X1)
    <=> ( cC102xcomp(X1)
        & cC108xcomp(X1) ) ),
    file('/tmp/tmp1TDx_p/sel_KRS154+1.p_1',axiom_15) ).

fof(43,axiom,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    file('/tmp/tmp1TDx_p/sel_KRS154+1.p_1',axiom_0) ).

fof(44,axiom,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    file('/tmp/tmp1TDx_p/sel_KRS154+1.p_1',axiom_1) ).

fof(60,axiom,
    ! [X1] :
      ( cC80(X1)
    <=> ( cC78xcomp(X1)
        & cC76xcomp(X1) ) ),
    file('/tmp/tmp1TDx_p/sel_KRS154+1.p_1',axiom_117) ).

fof(69,axiom,
    ! [X1] :
      ( cC58(X1)
    <=> ( cC34(X1)
        & cC56(X1) ) ),
    file('/tmp/tmp1TDx_p/sel_KRS154+1.p_1',axiom_94) ).

fof(76,axiom,
    ! [X1] :
      ( cC56(X1)
    <=> ( cC4(X1)
        & cC10xcomp(X1) ) ),
    file('/tmp/tmp1TDx_p/sel_KRS154+1.p_1',axiom_93) ).

fof(98,conjecture,
    ( ! [X1] :
        ( cowlThing(X1)
        & ~ cowlNothing(X1) )
    & ! [X1] :
        ( xsd_string(X1)
      <=> ~ xsd_integer(X1) )
    & cC58(iV822576)
    & cC116(iV822576)
    & cC114(iV822576)
    & cowlThing(iV822576)
    & cC94(iV822576)
    & cC80(iV822576)
    & cC110(iV822576)
    & cC136(iV822576)
    & cC56(iV822576) ),
    file('/tmp/tmp1TDx_p/sel_KRS154+1.p_1',the_axiom) ).

fof(101,axiom,
    ! [X1] :
      ( cC94(X1)
    <=> ( cC86xcomp(X1)
        & cC92xcomp(X1) ) ),
    file('/tmp/tmp1TDx_p/sel_KRS154+1.p_1',axiom_136) ).

fof(136,axiom,
    cC102xcomp(iV822576),
    file('/tmp/tmp1TDx_p/sel_KRS154+1.p_1',axiom_147) ).

fof(138,axiom,
    cC4(iV822576),
    file('/tmp/tmp1TDx_p/sel_KRS154+1.p_1',axiom_149) ).

fof(139,axiom,
    cC108xcomp(iV822576),
    file('/tmp/tmp1TDx_p/sel_KRS154+1.p_1',axiom_148) ).

fof(146,axiom,
    ! [X1] :
      ( cC114(X1)
    <=> ( cC112xcomp(X1)
        & cC96xcomp(X1) ) ),
    file('/tmp/tmp1TDx_p/sel_KRS154+1.p_1',axiom_21) ).

fof(149,axiom,
    ! [X1] :
      ( cC116(X1)
    <=> ( cC114(X1)
        & cC80(X1) ) ),
    file('/tmp/tmp1TDx_p/sel_KRS154+1.p_1',axiom_22) ).

fof(153,axiom,
    ! [X1] :
      ( cC136(X1)
    <=> ( cC134xcomp(X1)
        & cC116(X1) ) ),
    file('/tmp/tmp1TDx_p/sel_KRS154+1.p_1',axiom_42) ).

fof(161,axiom,
    cC76xcomp(iV822576),
    file('/tmp/tmp1TDx_p/sel_KRS154+1.p_1',axiom_152) ).

fof(162,axiom,
    cC96xcomp(iV822576),
    file('/tmp/tmp1TDx_p/sel_KRS154+1.p_1',axiom_153) ).

fof(164,axiom,
    cC112xcomp(iV822576),
    file('/tmp/tmp1TDx_p/sel_KRS154+1.p_1',axiom_151) ).

fof(169,axiom,
    cC78xcomp(iV822576),
    file('/tmp/tmp1TDx_p/sel_KRS154+1.p_1',axiom_158) ).

fof(171,negated_conjecture,
    ~ ( ! [X1] :
          ( cowlThing(X1)
          & ~ cowlNothing(X1) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & cC58(iV822576)
      & cC116(iV822576)
      & cC114(iV822576)
      & cowlThing(iV822576)
      & cC94(iV822576)
      & cC80(iV822576)
      & cC110(iV822576)
      & cC136(iV822576)
      & cC56(iV822576) ),
    inference(assume_negation,[status(cth)],[98]) ).

fof(172,plain,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    inference(fof_simplification,[status(thm)],[43,theory(equality)]) ).

fof(173,plain,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    inference(fof_simplification,[status(thm)],[44,theory(equality)]) ).

fof(174,negated_conjecture,
    ~ ( ! [X1] :
          ( cowlThing(X1)
          & ~ cowlNothing(X1) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & cC58(iV822576)
      & cC116(iV822576)
      & cC114(iV822576)
      & cowlThing(iV822576)
      & cC94(iV822576)
      & cC80(iV822576)
      & cC110(iV822576)
      & cC136(iV822576)
      & cC56(iV822576) ),
    inference(fof_simplification,[status(thm)],[171,theory(equality)]) ).

cnf(237,plain,
    cC10xcomp(iV822576),
    inference(split_conjunct,[status(thm)],[11]) ).

cnf(244,plain,
    cC34(iV822576),
    inference(split_conjunct,[status(thm)],[16]) ).

cnf(245,plain,
    cC86xcomp(iV822576),
    inference(split_conjunct,[status(thm)],[17]) ).

cnf(246,plain,
    cC134xcomp(iV822576),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(247,plain,
    cC92xcomp(iV822576),
    inference(split_conjunct,[status(thm)],[19]) ).

fof(322,plain,
    ! [X1] :
      ( ( ~ cC110(X1)
        | ( cC102xcomp(X1)
          & cC108xcomp(X1) ) )
      & ( ~ cC102xcomp(X1)
        | ~ cC108xcomp(X1)
        | cC110(X1) ) ),
    inference(fof_nnf,[status(thm)],[32]) ).

fof(323,plain,
    ! [X2] :
      ( ( ~ cC110(X2)
        | ( cC102xcomp(X2)
          & cC108xcomp(X2) ) )
      & ( ~ cC102xcomp(X2)
        | ~ cC108xcomp(X2)
        | cC110(X2) ) ),
    inference(variable_rename,[status(thm)],[322]) ).

fof(324,plain,
    ! [X2] :
      ( ( cC102xcomp(X2)
        | ~ cC110(X2) )
      & ( cC108xcomp(X2)
        | ~ cC110(X2) )
      & ( ~ cC102xcomp(X2)
        | ~ cC108xcomp(X2)
        | cC110(X2) ) ),
    inference(distribute,[status(thm)],[323]) ).

cnf(325,plain,
    ( cC110(X1)
    | ~ cC108xcomp(X1)
    | ~ cC102xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[324]) ).

fof(390,plain,
    ! [X2] :
      ( cowlThing(X2)
      & ~ cowlNothing(X2) ),
    inference(variable_rename,[status(thm)],[172]) ).

cnf(391,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[390]) ).

cnf(392,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[390]) ).

fof(393,plain,
    ! [X1] :
      ( ( ~ xsd_string(X1)
        | ~ xsd_integer(X1) )
      & ( xsd_integer(X1)
        | xsd_string(X1) ) ),
    inference(fof_nnf,[status(thm)],[173]) ).

fof(394,plain,
    ! [X2] :
      ( ( ~ xsd_string(X2)
        | ~ xsd_integer(X2) )
      & ( xsd_integer(X2)
        | xsd_string(X2) ) ),
    inference(variable_rename,[status(thm)],[393]) ).

cnf(395,plain,
    ( xsd_string(X1)
    | xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[394]) ).

cnf(396,plain,
    ( ~ xsd_integer(X1)
    | ~ xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[394]) ).

fof(489,plain,
    ! [X1] :
      ( ( ~ cC80(X1)
        | ( cC78xcomp(X1)
          & cC76xcomp(X1) ) )
      & ( ~ cC78xcomp(X1)
        | ~ cC76xcomp(X1)
        | cC80(X1) ) ),
    inference(fof_nnf,[status(thm)],[60]) ).

fof(490,plain,
    ! [X2] :
      ( ( ~ cC80(X2)
        | ( cC78xcomp(X2)
          & cC76xcomp(X2) ) )
      & ( ~ cC78xcomp(X2)
        | ~ cC76xcomp(X2)
        | cC80(X2) ) ),
    inference(variable_rename,[status(thm)],[489]) ).

fof(491,plain,
    ! [X2] :
      ( ( cC78xcomp(X2)
        | ~ cC80(X2) )
      & ( cC76xcomp(X2)
        | ~ cC80(X2) )
      & ( ~ cC78xcomp(X2)
        | ~ cC76xcomp(X2)
        | cC80(X2) ) ),
    inference(distribute,[status(thm)],[490]) ).

cnf(492,plain,
    ( cC80(X1)
    | ~ cC76xcomp(X1)
    | ~ cC78xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[491]) ).

fof(545,plain,
    ! [X1] :
      ( ( ~ cC58(X1)
        | ( cC34(X1)
          & cC56(X1) ) )
      & ( ~ cC34(X1)
        | ~ cC56(X1)
        | cC58(X1) ) ),
    inference(fof_nnf,[status(thm)],[69]) ).

fof(546,plain,
    ! [X2] :
      ( ( ~ cC58(X2)
        | ( cC34(X2)
          & cC56(X2) ) )
      & ( ~ cC34(X2)
        | ~ cC56(X2)
        | cC58(X2) ) ),
    inference(variable_rename,[status(thm)],[545]) ).

fof(547,plain,
    ! [X2] :
      ( ( cC34(X2)
        | ~ cC58(X2) )
      & ( cC56(X2)
        | ~ cC58(X2) )
      & ( ~ cC34(X2)
        | ~ cC56(X2)
        | cC58(X2) ) ),
    inference(distribute,[status(thm)],[546]) ).

cnf(548,plain,
    ( cC58(X1)
    | ~ cC56(X1)
    | ~ cC34(X1) ),
    inference(split_conjunct,[status(thm)],[547]) ).

cnf(549,plain,
    ( cC56(X1)
    | ~ cC58(X1) ),
    inference(split_conjunct,[status(thm)],[547]) ).

fof(589,plain,
    ! [X1] :
      ( ( ~ cC56(X1)
        | ( cC4(X1)
          & cC10xcomp(X1) ) )
      & ( ~ cC4(X1)
        | ~ cC10xcomp(X1)
        | cC56(X1) ) ),
    inference(fof_nnf,[status(thm)],[76]) ).

fof(590,plain,
    ! [X2] :
      ( ( ~ cC56(X2)
        | ( cC4(X2)
          & cC10xcomp(X2) ) )
      & ( ~ cC4(X2)
        | ~ cC10xcomp(X2)
        | cC56(X2) ) ),
    inference(variable_rename,[status(thm)],[589]) ).

fof(591,plain,
    ! [X2] :
      ( ( cC4(X2)
        | ~ cC56(X2) )
      & ( cC10xcomp(X2)
        | ~ cC56(X2) )
      & ( ~ cC4(X2)
        | ~ cC10xcomp(X2)
        | cC56(X2) ) ),
    inference(distribute,[status(thm)],[590]) ).

cnf(592,plain,
    ( cC56(X1)
    | ~ cC10xcomp(X1)
    | ~ cC4(X1) ),
    inference(split_conjunct,[status(thm)],[591]) ).

fof(725,negated_conjecture,
    ( ? [X1] :
        ( ~ cowlThing(X1)
        | cowlNothing(X1) )
    | ? [X1] :
        ( ( ~ xsd_string(X1)
          | xsd_integer(X1) )
        & ( xsd_string(X1)
          | ~ xsd_integer(X1) ) )
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC114(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC94(iV822576)
    | ~ cC80(iV822576)
    | ~ cC110(iV822576)
    | ~ cC136(iV822576)
    | ~ cC56(iV822576) ),
    inference(fof_nnf,[status(thm)],[174]) ).

fof(726,negated_conjecture,
    ( ? [X2] :
        ( ~ cowlThing(X2)
        | cowlNothing(X2) )
    | ? [X3] :
        ( ( ~ xsd_string(X3)
          | xsd_integer(X3) )
        & ( xsd_string(X3)
          | ~ xsd_integer(X3) ) )
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC114(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC94(iV822576)
    | ~ cC80(iV822576)
    | ~ cC110(iV822576)
    | ~ cC136(iV822576)
    | ~ cC56(iV822576) ),
    inference(variable_rename,[status(thm)],[725]) ).

fof(727,negated_conjecture,
    ( ~ cowlThing(esk55_0)
    | cowlNothing(esk55_0)
    | ( ( ~ xsd_string(esk56_0)
        | xsd_integer(esk56_0) )
      & ( xsd_string(esk56_0)
        | ~ xsd_integer(esk56_0) ) )
    | ~ cC58(iV822576)
    | ~ cC116(iV822576)
    | ~ cC114(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC94(iV822576)
    | ~ cC80(iV822576)
    | ~ cC110(iV822576)
    | ~ cC136(iV822576)
    | ~ cC56(iV822576) ),
    inference(skolemize,[status(esa)],[726]) ).

fof(728,negated_conjecture,
    ( ( ~ xsd_string(esk56_0)
      | xsd_integer(esk56_0)
      | ~ cowlThing(esk55_0)
      | cowlNothing(esk55_0)
      | ~ cC58(iV822576)
      | ~ cC116(iV822576)
      | ~ cC114(iV822576)
      | ~ cowlThing(iV822576)
      | ~ cC94(iV822576)
      | ~ cC80(iV822576)
      | ~ cC110(iV822576)
      | ~ cC136(iV822576)
      | ~ cC56(iV822576) )
    & ( xsd_string(esk56_0)
      | ~ xsd_integer(esk56_0)
      | ~ cowlThing(esk55_0)
      | cowlNothing(esk55_0)
      | ~ cC58(iV822576)
      | ~ cC116(iV822576)
      | ~ cC114(iV822576)
      | ~ cowlThing(iV822576)
      | ~ cC94(iV822576)
      | ~ cC80(iV822576)
      | ~ cC110(iV822576)
      | ~ cC136(iV822576)
      | ~ cC56(iV822576) ) ),
    inference(distribute,[status(thm)],[727]) ).

cnf(729,negated_conjecture,
    ( cowlNothing(esk55_0)
    | xsd_string(esk56_0)
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing(esk55_0)
    | ~ xsd_integer(esk56_0) ),
    inference(split_conjunct,[status(thm)],[728]) ).

cnf(730,negated_conjecture,
    ( cowlNothing(esk55_0)
    | xsd_integer(esk56_0)
    | ~ cC56(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing(esk55_0)
    | ~ xsd_string(esk56_0) ),
    inference(split_conjunct,[status(thm)],[728]) ).

fof(743,plain,
    ! [X1] :
      ( ( ~ cC94(X1)
        | ( cC86xcomp(X1)
          & cC92xcomp(X1) ) )
      & ( ~ cC86xcomp(X1)
        | ~ cC92xcomp(X1)
        | cC94(X1) ) ),
    inference(fof_nnf,[status(thm)],[101]) ).

fof(744,plain,
    ! [X2] :
      ( ( ~ cC94(X2)
        | ( cC86xcomp(X2)
          & cC92xcomp(X2) ) )
      & ( ~ cC86xcomp(X2)
        | ~ cC92xcomp(X2)
        | cC94(X2) ) ),
    inference(variable_rename,[status(thm)],[743]) ).

fof(745,plain,
    ! [X2] :
      ( ( cC86xcomp(X2)
        | ~ cC94(X2) )
      & ( cC92xcomp(X2)
        | ~ cC94(X2) )
      & ( ~ cC86xcomp(X2)
        | ~ cC92xcomp(X2)
        | cC94(X2) ) ),
    inference(distribute,[status(thm)],[744]) ).

cnf(746,plain,
    ( cC94(X1)
    | ~ cC92xcomp(X1)
    | ~ cC86xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[745]) ).

cnf(959,plain,
    cC102xcomp(iV822576),
    inference(split_conjunct,[status(thm)],[136]) ).

cnf(961,plain,
    cC4(iV822576),
    inference(split_conjunct,[status(thm)],[138]) ).

cnf(962,plain,
    cC108xcomp(iV822576),
    inference(split_conjunct,[status(thm)],[139]) ).

fof(1001,plain,
    ! [X1] :
      ( ( ~ cC114(X1)
        | ( cC112xcomp(X1)
          & cC96xcomp(X1) ) )
      & ( ~ cC112xcomp(X1)
        | ~ cC96xcomp(X1)
        | cC114(X1) ) ),
    inference(fof_nnf,[status(thm)],[146]) ).

fof(1002,plain,
    ! [X2] :
      ( ( ~ cC114(X2)
        | ( cC112xcomp(X2)
          & cC96xcomp(X2) ) )
      & ( ~ cC112xcomp(X2)
        | ~ cC96xcomp(X2)
        | cC114(X2) ) ),
    inference(variable_rename,[status(thm)],[1001]) ).

fof(1003,plain,
    ! [X2] :
      ( ( cC112xcomp(X2)
        | ~ cC114(X2) )
      & ( cC96xcomp(X2)
        | ~ cC114(X2) )
      & ( ~ cC112xcomp(X2)
        | ~ cC96xcomp(X2)
        | cC114(X2) ) ),
    inference(distribute,[status(thm)],[1002]) ).

cnf(1004,plain,
    ( cC114(X1)
    | ~ cC96xcomp(X1)
    | ~ cC112xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[1003]) ).

fof(1019,plain,
    ! [X1] :
      ( ( ~ cC116(X1)
        | ( cC114(X1)
          & cC80(X1) ) )
      & ( ~ cC114(X1)
        | ~ cC80(X1)
        | cC116(X1) ) ),
    inference(fof_nnf,[status(thm)],[149]) ).

fof(1020,plain,
    ! [X2] :
      ( ( ~ cC116(X2)
        | ( cC114(X2)
          & cC80(X2) ) )
      & ( ~ cC114(X2)
        | ~ cC80(X2)
        | cC116(X2) ) ),
    inference(variable_rename,[status(thm)],[1019]) ).

fof(1021,plain,
    ! [X2] :
      ( ( cC114(X2)
        | ~ cC116(X2) )
      & ( cC80(X2)
        | ~ cC116(X2) )
      & ( ~ cC114(X2)
        | ~ cC80(X2)
        | cC116(X2) ) ),
    inference(distribute,[status(thm)],[1020]) ).

cnf(1022,plain,
    ( cC116(X1)
    | ~ cC80(X1)
    | ~ cC114(X1) ),
    inference(split_conjunct,[status(thm)],[1021]) ).

cnf(1024,plain,
    ( cC114(X1)
    | ~ cC116(X1) ),
    inference(split_conjunct,[status(thm)],[1021]) ).

fof(1043,plain,
    ! [X1] :
      ( ( ~ cC136(X1)
        | ( cC134xcomp(X1)
          & cC116(X1) ) )
      & ( ~ cC134xcomp(X1)
        | ~ cC116(X1)
        | cC136(X1) ) ),
    inference(fof_nnf,[status(thm)],[153]) ).

fof(1044,plain,
    ! [X2] :
      ( ( ~ cC136(X2)
        | ( cC134xcomp(X2)
          & cC116(X2) ) )
      & ( ~ cC134xcomp(X2)
        | ~ cC116(X2)
        | cC136(X2) ) ),
    inference(variable_rename,[status(thm)],[1043]) ).

fof(1045,plain,
    ! [X2] :
      ( ( cC134xcomp(X2)
        | ~ cC136(X2) )
      & ( cC116(X2)
        | ~ cC136(X2) )
      & ( ~ cC134xcomp(X2)
        | ~ cC116(X2)
        | cC136(X2) ) ),
    inference(distribute,[status(thm)],[1044]) ).

cnf(1046,plain,
    ( cC136(X1)
    | ~ cC116(X1)
    | ~ cC134xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[1045]) ).

cnf(1047,plain,
    ( cC116(X1)
    | ~ cC136(X1) ),
    inference(split_conjunct,[status(thm)],[1045]) ).

cnf(1093,plain,
    cC76xcomp(iV822576),
    inference(split_conjunct,[status(thm)],[161]) ).

cnf(1094,plain,
    cC96xcomp(iV822576),
    inference(split_conjunct,[status(thm)],[162]) ).

cnf(1096,plain,
    cC112xcomp(iV822576),
    inference(split_conjunct,[status(thm)],[164]) ).

cnf(1103,plain,
    cC78xcomp(iV822576),
    inference(split_conjunct,[status(thm)],[169]) ).

cnf(1108,negated_conjecture,
    ( cowlNothing(esk55_0)
    | xsd_string(esk56_0)
    | $false
    | $false
    | ~ cC110(iV822576)
    | ~ xsd_integer(esk56_0)
    | ~ cC80(iV822576)
    | ~ cC58(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC114(iV822576)
    | ~ cC94(iV822576)
    | ~ cC136(iV822576) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[729,392,theory(equality)]),392,theory(equality)]),
    [unfolding] ).

cnf(1109,negated_conjecture,
    ( cowlNothing(esk55_0)
    | xsd_integer(esk56_0)
    | $false
    | $false
    | ~ cC110(iV822576)
    | ~ xsd_string(esk56_0)
    | ~ cC80(iV822576)
    | ~ cC58(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC114(iV822576)
    | ~ cC94(iV822576)
    | ~ cC136(iV822576) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[730,392,theory(equality)]),392,theory(equality)]),
    [unfolding] ).

cnf(1116,plain,
    ( cC136(iV822576)
    | ~ cC116(iV822576) ),
    inference(spm,[status(thm)],[1046,246,theory(equality)]) ).

cnf(1118,negated_conjecture,
    ( xsd_string(esk56_0)
    | ~ cC110(iV822576)
    | ~ xsd_integer(esk56_0)
    | ~ cC80(iV822576)
    | ~ cC58(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC114(iV822576)
    | ~ cC94(iV822576)
    | ~ cC136(iV822576) ),
    inference(sr,[status(thm)],[1108,391,theory(equality)]) ).

cnf(1119,negated_conjecture,
    ( xsd_string(esk56_0)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cC116(iV822576)
    | ~ cC56(iV822576)
    | ~ cC58(iV822576)
    | ~ cC80(iV822576)
    | ~ xsd_integer(esk56_0)
    | ~ cC110(iV822576) ),
    inference(csr,[status(thm)],[1118,1024]) ).

cnf(1120,negated_conjecture,
    ( xsd_string(esk56_0)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cC56(iV822576)
    | ~ cC58(iV822576)
    | ~ cC80(iV822576)
    | ~ xsd_integer(esk56_0)
    | ~ cC110(iV822576) ),
    inference(csr,[status(thm)],[1119,1047]) ).

cnf(1121,negated_conjecture,
    ( xsd_string(esk56_0)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ cC80(iV822576)
    | ~ xsd_integer(esk56_0)
    | ~ cC110(iV822576) ),
    inference(csr,[status(thm)],[1120,549]) ).

cnf(1122,negated_conjecture,
    ( xsd_string(esk56_0)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ cC80(iV822576)
    | ~ cC110(iV822576) ),
    inference(csr,[status(thm)],[1121,395]) ).

cnf(1123,negated_conjecture,
    ( xsd_integer(esk56_0)
    | ~ cC110(iV822576)
    | ~ xsd_string(esk56_0)
    | ~ cC80(iV822576)
    | ~ cC58(iV822576)
    | ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC114(iV822576)
    | ~ cC94(iV822576)
    | ~ cC136(iV822576) ),
    inference(sr,[status(thm)],[1109,391,theory(equality)]) ).

cnf(1124,negated_conjecture,
    ( xsd_integer(esk56_0)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cC116(iV822576)
    | ~ cC56(iV822576)
    | ~ cC58(iV822576)
    | ~ cC80(iV822576)
    | ~ xsd_string(esk56_0)
    | ~ cC110(iV822576) ),
    inference(csr,[status(thm)],[1123,1024]) ).

cnf(1125,negated_conjecture,
    ( xsd_integer(esk56_0)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cC56(iV822576)
    | ~ cC58(iV822576)
    | ~ cC80(iV822576)
    | ~ xsd_string(esk56_0)
    | ~ cC110(iV822576) ),
    inference(csr,[status(thm)],[1124,1047]) ).

cnf(1126,negated_conjecture,
    ( xsd_integer(esk56_0)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ cC80(iV822576)
    | ~ xsd_string(esk56_0)
    | ~ cC110(iV822576) ),
    inference(csr,[status(thm)],[1125,549]) ).

cnf(1127,negated_conjecture,
    ( xsd_integer(esk56_0)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ cC80(iV822576)
    | ~ cC110(iV822576) ),
    inference(csr,[status(thm)],[1126,1122]) ).

cnf(1159,plain,
    ( cC110(iV822576)
    | ~ cC108xcomp(iV822576) ),
    inference(spm,[status(thm)],[325,959,theory(equality)]) ).

cnf(1161,plain,
    ( cC110(iV822576)
    | $false ),
    inference(rw,[status(thm)],[1159,962,theory(equality)]) ).

cnf(1162,plain,
    cC110(iV822576),
    inference(cn,[status(thm)],[1161,theory(equality)]) ).

cnf(1163,plain,
    ( cC80(iV822576)
    | ~ cC78xcomp(iV822576) ),
    inference(spm,[status(thm)],[492,1093,theory(equality)]) ).

cnf(1165,plain,
    ( cC80(iV822576)
    | $false ),
    inference(rw,[status(thm)],[1163,1103,theory(equality)]) ).

cnf(1166,plain,
    cC80(iV822576),
    inference(cn,[status(thm)],[1165,theory(equality)]) ).

cnf(1169,plain,
    ( cC58(X1)
    | ~ cC34(X1)
    | ~ cC10xcomp(X1)
    | ~ cC4(X1) ),
    inference(spm,[status(thm)],[548,592,theory(equality)]) ).

cnf(1172,plain,
    ( cC114(iV822576)
    | ~ cC96xcomp(iV822576) ),
    inference(spm,[status(thm)],[1004,1096,theory(equality)]) ).

cnf(1174,plain,
    ( cC114(iV822576)
    | $false ),
    inference(rw,[status(thm)],[1172,1094,theory(equality)]) ).

cnf(1175,plain,
    cC114(iV822576),
    inference(cn,[status(thm)],[1174,theory(equality)]) ).

cnf(1176,plain,
    ( cC94(iV822576)
    | ~ cC86xcomp(iV822576) ),
    inference(spm,[status(thm)],[746,247,theory(equality)]) ).

cnf(1178,plain,
    ( cC94(iV822576)
    | $false ),
    inference(rw,[status(thm)],[1176,245,theory(equality)]) ).

cnf(1179,plain,
    cC94(iV822576),
    inference(cn,[status(thm)],[1178,theory(equality)]) ).

cnf(1569,negated_conjecture,
    ( xsd_integer(esk56_0)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ cC80(iV822576)
    | $false ),
    inference(rw,[status(thm)],[1127,1162,theory(equality)]) ).

cnf(1570,negated_conjecture,
    ( xsd_integer(esk56_0)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ cC80(iV822576) ),
    inference(cn,[status(thm)],[1569,theory(equality)]) ).

cnf(1571,negated_conjecture,
    ( xsd_string(esk56_0)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ cC80(iV822576)
    | $false ),
    inference(rw,[status(thm)],[1122,1162,theory(equality)]) ).

cnf(1572,negated_conjecture,
    ( xsd_string(esk56_0)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ cC80(iV822576) ),
    inference(cn,[status(thm)],[1571,theory(equality)]) ).

cnf(1573,plain,
    ( cC116(iV822576)
    | ~ cC80(iV822576) ),
    inference(spm,[status(thm)],[1022,1175,theory(equality)]) ).

cnf(1574,plain,
    ( cC116(iV822576)
    | $false ),
    inference(rw,[status(thm)],[1573,1166,theory(equality)]) ).

cnf(1575,plain,
    cC116(iV822576),
    inference(cn,[status(thm)],[1574,theory(equality)]) ).

cnf(1576,negated_conjecture,
    ( xsd_integer(esk56_0)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | $false ),
    inference(rw,[status(thm)],[1570,1166,theory(equality)]) ).

cnf(1577,negated_conjecture,
    ( xsd_integer(esk56_0)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cC58(iV822576) ),
    inference(cn,[status(thm)],[1576,theory(equality)]) ).

cnf(1578,negated_conjecture,
    ( ~ xsd_string(esk56_0)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cC58(iV822576) ),
    inference(spm,[status(thm)],[396,1577,theory(equality)]) ).

cnf(1579,negated_conjecture,
    ( xsd_string(esk56_0)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | $false ),
    inference(rw,[status(thm)],[1572,1166,theory(equality)]) ).

cnf(1580,negated_conjecture,
    ( xsd_string(esk56_0)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cC58(iV822576) ),
    inference(cn,[status(thm)],[1579,theory(equality)]) ).

cnf(1581,negated_conjecture,
    ( ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cC58(iV822576) ),
    inference(csr,[status(thm)],[1578,1580]) ).

cnf(1584,negated_conjecture,
    ( ~ cC136(iV822576)
    | $false
    | ~ cC58(iV822576) ),
    inference(rw,[status(thm)],[1581,1179,theory(equality)]) ).

cnf(1585,negated_conjecture,
    ( ~ cC136(iV822576)
    | ~ cC58(iV822576) ),
    inference(cn,[status(thm)],[1584,theory(equality)]) ).

cnf(1588,plain,
    ( cC136(iV822576)
    | $false ),
    inference(rw,[status(thm)],[1116,1575,theory(equality)]) ).

cnf(1589,plain,
    cC136(iV822576),
    inference(cn,[status(thm)],[1588,theory(equality)]) ).

cnf(1590,negated_conjecture,
    ( $false
    | ~ cC58(iV822576) ),
    inference(rw,[status(thm)],[1585,1589,theory(equality)]) ).

cnf(1591,negated_conjecture,
    ~ cC58(iV822576),
    inference(cn,[status(thm)],[1590,theory(equality)]) ).

cnf(1861,negated_conjecture,
    ( ~ cC10xcomp(iV822576)
    | ~ cC4(iV822576)
    | ~ cC34(iV822576) ),
    inference(spm,[status(thm)],[1591,1169,theory(equality)]) ).

cnf(1865,negated_conjecture,
    ( $false
    | ~ cC4(iV822576)
    | ~ cC34(iV822576) ),
    inference(rw,[status(thm)],[1861,237,theory(equality)]) ).

cnf(1866,negated_conjecture,
    ( $false
    | $false
    | ~ cC34(iV822576) ),
    inference(rw,[status(thm)],[1865,961,theory(equality)]) ).

cnf(1867,negated_conjecture,
    ( $false
    | $false
    | $false ),
    inference(rw,[status(thm)],[1866,244,theory(equality)]) ).

cnf(1868,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[1867,theory(equality)]) ).

cnf(1869,negated_conjecture,
    $false,
    1868,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS154+1.p
% --creating new selector for []
% -running prover on /tmp/tmp1TDx_p/sel_KRS154+1.p_1 with time limit 29
% -prover status Theorem
% Problem KRS154+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS154+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS154+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
% 
%------------------------------------------------------------------------------