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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : KRS149+1 : TPTP v5.0.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art05.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 13:03:00 EST 2010

% Result   : Theorem 0.42s
% Output   : CNFRefutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   76 (  12 unt;   0 def)
%            Number of atoms       :  387 (   0 equ)
%            Maximal formula atoms :   24 (   5 avg)
%            Number of connectives :  544 ( 233   ~; 233   |;  68   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   45 (   2 sgn  30   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1] :
      ( cC46(X1)
    <=> ( cC30(X1)
        & cC44(X1) ) ),
    file('/tmp/tmpqsazYH/sel_KRS149+1.p_1',axiom_78) ).

fof(9,axiom,
    ! [X1] :
      ( cC30(X1)
    <=> ( cC14(X1)
        & cC28(X1) ) ),
    file('/tmp/tmpqsazYH/sel_KRS149+1.p_1',axiom_70) ).

fof(15,axiom,
    ! [X1] :
      ( cC216(X1)
    <=> ( ~ cC214(X1)
        & cC64(X1) ) ),
    file('/tmp/tmpqsazYH/sel_KRS149+1.p_1',axiom_65) ).

fof(34,axiom,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    file('/tmp/tmpqsazYH/sel_KRS149+1.p_1',axiom_0) ).

fof(35,axiom,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    file('/tmp/tmpqsazYH/sel_KRS149+1.p_1',axiom_1) ).

fof(69,axiom,
    cTEST(iV3102),
    file('/tmp/tmpqsazYH/sel_KRS149+1.p_1',axiom_108) ).

fof(84,conjecture,
    ( ! [X1] :
        ( cowlThing(X1)
        & ~ cowlNothing(X1) )
    & ! [X1] :
        ( xsd_string(X1)
      <=> ~ xsd_integer(X1) )
    & cC216(iV3102)
    & cC46(iV3102)
    & cC30(iV3102)
    & cC44(iV3102)
    & cC28(iV3102)
    & cC64(iV3102)
    & cC14(iV3102)
    & cowlThing(iV3102) ),
    file('/tmp/tmpqsazYH/sel_KRS149+1.p_1',the_axiom) ).

fof(105,axiom,
    ! [X1] :
      ( cTEST(X1)
    <=> ( cC216(X1)
        & cC46(X1) ) ),
    file('/tmp/tmpqsazYH/sel_KRS149+1.p_1',axiom_107) ).

fof(127,negated_conjecture,
    ~ ( ! [X1] :
          ( cowlThing(X1)
          & ~ cowlNothing(X1) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & cC216(iV3102)
      & cC46(iV3102)
      & cC30(iV3102)
      & cC44(iV3102)
      & cC28(iV3102)
      & cC64(iV3102)
      & cC14(iV3102)
      & cowlThing(iV3102) ),
    inference(assume_negation,[status(cth)],[84]) ).

fof(134,plain,
    ! [X1] :
      ( cC216(X1)
    <=> ( ~ cC214(X1)
        & cC64(X1) ) ),
    inference(fof_simplification,[status(thm)],[15,theory(equality)]) ).

fof(144,plain,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    inference(fof_simplification,[status(thm)],[34,theory(equality)]) ).

fof(145,plain,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    inference(fof_simplification,[status(thm)],[35,theory(equality)]) ).

fof(172,negated_conjecture,
    ~ ( ! [X1] :
          ( cowlThing(X1)
          & ~ cowlNothing(X1) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & cC216(iV3102)
      & cC46(iV3102)
      & cC30(iV3102)
      & cC44(iV3102)
      & cC28(iV3102)
      & cC64(iV3102)
      & cC14(iV3102)
      & cowlThing(iV3102) ),
    inference(fof_simplification,[status(thm)],[127,theory(equality)]) ).

fof(195,plain,
    ! [X1] :
      ( ( ~ cC46(X1)
        | ( cC30(X1)
          & cC44(X1) ) )
      & ( ~ cC30(X1)
        | ~ cC44(X1)
        | cC46(X1) ) ),
    inference(fof_nnf,[status(thm)],[1]) ).

fof(196,plain,
    ! [X2] :
      ( ( ~ cC46(X2)
        | ( cC30(X2)
          & cC44(X2) ) )
      & ( ~ cC30(X2)
        | ~ cC44(X2)
        | cC46(X2) ) ),
    inference(variable_rename,[status(thm)],[195]) ).

fof(197,plain,
    ! [X2] :
      ( ( cC30(X2)
        | ~ cC46(X2) )
      & ( cC44(X2)
        | ~ cC46(X2) )
      & ( ~ cC30(X2)
        | ~ cC44(X2)
        | cC46(X2) ) ),
    inference(distribute,[status(thm)],[196]) ).

cnf(199,plain,
    ( cC44(X1)
    | ~ cC46(X1) ),
    inference(split_conjunct,[status(thm)],[197]) ).

cnf(200,plain,
    ( cC30(X1)
    | ~ cC46(X1) ),
    inference(split_conjunct,[status(thm)],[197]) ).

fof(251,plain,
    ! [X1] :
      ( ( ~ cC30(X1)
        | ( cC14(X1)
          & cC28(X1) ) )
      & ( ~ cC14(X1)
        | ~ cC28(X1)
        | cC30(X1) ) ),
    inference(fof_nnf,[status(thm)],[9]) ).

fof(252,plain,
    ! [X2] :
      ( ( ~ cC30(X2)
        | ( cC14(X2)
          & cC28(X2) ) )
      & ( ~ cC14(X2)
        | ~ cC28(X2)
        | cC30(X2) ) ),
    inference(variable_rename,[status(thm)],[251]) ).

fof(253,plain,
    ! [X2] :
      ( ( cC14(X2)
        | ~ cC30(X2) )
      & ( cC28(X2)
        | ~ cC30(X2) )
      & ( ~ cC14(X2)
        | ~ cC28(X2)
        | cC30(X2) ) ),
    inference(distribute,[status(thm)],[252]) ).

cnf(255,plain,
    ( cC28(X1)
    | ~ cC30(X1) ),
    inference(split_conjunct,[status(thm)],[253]) ).

cnf(256,plain,
    ( cC14(X1)
    | ~ cC30(X1) ),
    inference(split_conjunct,[status(thm)],[253]) ).

fof(293,plain,
    ! [X1] :
      ( ( ~ cC216(X1)
        | ( ~ cC214(X1)
          & cC64(X1) ) )
      & ( cC214(X1)
        | ~ cC64(X1)
        | cC216(X1) ) ),
    inference(fof_nnf,[status(thm)],[134]) ).

fof(294,plain,
    ! [X2] :
      ( ( ~ cC216(X2)
        | ( ~ cC214(X2)
          & cC64(X2) ) )
      & ( cC214(X2)
        | ~ cC64(X2)
        | cC216(X2) ) ),
    inference(variable_rename,[status(thm)],[293]) ).

fof(295,plain,
    ! [X2] :
      ( ( ~ cC214(X2)
        | ~ cC216(X2) )
      & ( cC64(X2)
        | ~ cC216(X2) )
      & ( cC214(X2)
        | ~ cC64(X2)
        | cC216(X2) ) ),
    inference(distribute,[status(thm)],[294]) ).

cnf(297,plain,
    ( cC64(X1)
    | ~ cC216(X1) ),
    inference(split_conjunct,[status(thm)],[295]) ).

fof(422,plain,
    ! [X2] :
      ( cowlThing(X2)
      & ~ cowlNothing(X2) ),
    inference(variable_rename,[status(thm)],[144]) ).

cnf(423,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[422]) ).

cnf(424,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[422]) ).

fof(425,plain,
    ! [X1] :
      ( ( ~ xsd_string(X1)
        | ~ xsd_integer(X1) )
      & ( xsd_integer(X1)
        | xsd_string(X1) ) ),
    inference(fof_nnf,[status(thm)],[145]) ).

fof(426,plain,
    ! [X2] :
      ( ( ~ xsd_string(X2)
        | ~ xsd_integer(X2) )
      & ( xsd_integer(X2)
        | xsd_string(X2) ) ),
    inference(variable_rename,[status(thm)],[425]) ).

cnf(427,plain,
    ( xsd_string(X1)
    | xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[426]) ).

cnf(428,plain,
    ( ~ xsd_integer(X1)
    | ~ xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[426]) ).

cnf(604,plain,
    cTEST(iV3102),
    inference(split_conjunct,[status(thm)],[69]) ).

fof(681,negated_conjecture,
    ( ? [X1] :
        ( ~ cowlThing(X1)
        | cowlNothing(X1) )
    | ? [X1] :
        ( ( ~ xsd_string(X1)
          | xsd_integer(X1) )
        & ( xsd_string(X1)
          | ~ xsd_integer(X1) ) )
    | ~ cC216(iV3102)
    | ~ cC46(iV3102)
    | ~ cC30(iV3102)
    | ~ cC44(iV3102)
    | ~ cC28(iV3102)
    | ~ cC64(iV3102)
    | ~ cC14(iV3102)
    | ~ cowlThing(iV3102) ),
    inference(fof_nnf,[status(thm)],[172]) ).

fof(682,negated_conjecture,
    ( ? [X2] :
        ( ~ cowlThing(X2)
        | cowlNothing(X2) )
    | ? [X3] :
        ( ( ~ xsd_string(X3)
          | xsd_integer(X3) )
        & ( xsd_string(X3)
          | ~ xsd_integer(X3) ) )
    | ~ cC216(iV3102)
    | ~ cC46(iV3102)
    | ~ cC30(iV3102)
    | ~ cC44(iV3102)
    | ~ cC28(iV3102)
    | ~ cC64(iV3102)
    | ~ cC14(iV3102)
    | ~ cowlThing(iV3102) ),
    inference(variable_rename,[status(thm)],[681]) ).

fof(683,negated_conjecture,
    ( ~ cowlThing(esk35_0)
    | cowlNothing(esk35_0)
    | ( ( ~ xsd_string(esk36_0)
        | xsd_integer(esk36_0) )
      & ( xsd_string(esk36_0)
        | ~ xsd_integer(esk36_0) ) )
    | ~ cC216(iV3102)
    | ~ cC46(iV3102)
    | ~ cC30(iV3102)
    | ~ cC44(iV3102)
    | ~ cC28(iV3102)
    | ~ cC64(iV3102)
    | ~ cC14(iV3102)
    | ~ cowlThing(iV3102) ),
    inference(skolemize,[status(esa)],[682]) ).

fof(684,negated_conjecture,
    ( ( ~ xsd_string(esk36_0)
      | xsd_integer(esk36_0)
      | ~ cowlThing(esk35_0)
      | cowlNothing(esk35_0)
      | ~ cC216(iV3102)
      | ~ cC46(iV3102)
      | ~ cC30(iV3102)
      | ~ cC44(iV3102)
      | ~ cC28(iV3102)
      | ~ cC64(iV3102)
      | ~ cC14(iV3102)
      | ~ cowlThing(iV3102) )
    & ( xsd_string(esk36_0)
      | ~ xsd_integer(esk36_0)
      | ~ cowlThing(esk35_0)
      | cowlNothing(esk35_0)
      | ~ cC216(iV3102)
      | ~ cC46(iV3102)
      | ~ cC30(iV3102)
      | ~ cC44(iV3102)
      | ~ cC28(iV3102)
      | ~ cC64(iV3102)
      | ~ cC14(iV3102)
      | ~ cowlThing(iV3102) ) ),
    inference(distribute,[status(thm)],[683]) ).

cnf(685,negated_conjecture,
    ( cowlNothing(esk35_0)
    | xsd_string(esk36_0)
    | ~ cowlThing(iV3102)
    | ~ cC14(iV3102)
    | ~ cC64(iV3102)
    | ~ cC28(iV3102)
    | ~ cC44(iV3102)
    | ~ cC30(iV3102)
    | ~ cC46(iV3102)
    | ~ cC216(iV3102)
    | ~ cowlThing(esk35_0)
    | ~ xsd_integer(esk36_0) ),
    inference(split_conjunct,[status(thm)],[684]) ).

cnf(686,negated_conjecture,
    ( cowlNothing(esk35_0)
    | xsd_integer(esk36_0)
    | ~ cowlThing(iV3102)
    | ~ cC14(iV3102)
    | ~ cC64(iV3102)
    | ~ cC28(iV3102)
    | ~ cC44(iV3102)
    | ~ cC30(iV3102)
    | ~ cC46(iV3102)
    | ~ cC216(iV3102)
    | ~ cowlThing(esk35_0)
    | ~ xsd_string(esk36_0) ),
    inference(split_conjunct,[status(thm)],[684]) ).

fof(827,plain,
    ! [X1] :
      ( ( ~ cTEST(X1)
        | ( cC216(X1)
          & cC46(X1) ) )
      & ( ~ cC216(X1)
        | ~ cC46(X1)
        | cTEST(X1) ) ),
    inference(fof_nnf,[status(thm)],[105]) ).

fof(828,plain,
    ! [X2] :
      ( ( ~ cTEST(X2)
        | ( cC216(X2)
          & cC46(X2) ) )
      & ( ~ cC216(X2)
        | ~ cC46(X2)
        | cTEST(X2) ) ),
    inference(variable_rename,[status(thm)],[827]) ).

fof(829,plain,
    ! [X2] :
      ( ( cC216(X2)
        | ~ cTEST(X2) )
      & ( cC46(X2)
        | ~ cTEST(X2) )
      & ( ~ cC216(X2)
        | ~ cC46(X2)
        | cTEST(X2) ) ),
    inference(distribute,[status(thm)],[828]) ).

cnf(831,plain,
    ( cC46(X1)
    | ~ cTEST(X1) ),
    inference(split_conjunct,[status(thm)],[829]) ).

cnf(832,plain,
    ( cC216(X1)
    | ~ cTEST(X1) ),
    inference(split_conjunct,[status(thm)],[829]) ).

cnf(980,negated_conjecture,
    ( cowlNothing(esk35_0)
    | xsd_string(esk36_0)
    | ~ cC46(iV3102)
    | ~ cC30(iV3102)
    | ~ cC44(iV3102)
    | ~ cC14(iV3102)
    | ~ cC28(iV3102)
    | ~ cC216(iV3102)
    | ~ cC64(iV3102)
    | $false
    | $false
    | ~ xsd_integer(esk36_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[685,424,theory(equality)]),424,theory(equality)]),
    [unfolding] ).

cnf(981,negated_conjecture,
    ( cowlNothing(esk35_0)
    | xsd_integer(esk36_0)
    | ~ cC46(iV3102)
    | ~ cC30(iV3102)
    | ~ cC44(iV3102)
    | ~ cC14(iV3102)
    | ~ cC28(iV3102)
    | ~ cC216(iV3102)
    | ~ cC64(iV3102)
    | $false
    | $false
    | ~ xsd_string(esk36_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[686,424,theory(equality)]),424,theory(equality)]),
    [unfolding] ).

cnf(989,plain,
    cC46(iV3102),
    inference(spm,[status(thm)],[831,604,theory(equality)]) ).

cnf(990,plain,
    cC216(iV3102),
    inference(spm,[status(thm)],[832,604,theory(equality)]) ).

cnf(994,negated_conjecture,
    ( xsd_string(esk36_0)
    | ~ cC46(iV3102)
    | ~ cC30(iV3102)
    | ~ cC44(iV3102)
    | ~ cC14(iV3102)
    | ~ cC28(iV3102)
    | ~ cC216(iV3102)
    | ~ cC64(iV3102)
    | ~ xsd_integer(esk36_0) ),
    inference(sr,[status(thm)],[980,423,theory(equality)]) ).

cnf(995,negated_conjecture,
    ( xsd_string(esk36_0)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | ~ cC28(iV3102)
    | ~ cC14(iV3102)
    | ~ cC44(iV3102)
    | ~ cC30(iV3102)
    | ~ cC46(iV3102) ),
    inference(csr,[status(thm)],[994,427]) ).

cnf(996,negated_conjecture,
    ( xsd_string(esk36_0)
    | ~ cC216(iV3102)
    | ~ cC28(iV3102)
    | ~ cC14(iV3102)
    | ~ cC44(iV3102)
    | ~ cC30(iV3102)
    | ~ cC46(iV3102) ),
    inference(csr,[status(thm)],[995,297]) ).

cnf(997,negated_conjecture,
    ( xsd_string(esk36_0)
    | ~ cC216(iV3102)
    | ~ cC14(iV3102)
    | ~ cC44(iV3102)
    | ~ cC30(iV3102)
    | ~ cC46(iV3102) ),
    inference(csr,[status(thm)],[996,255]) ).

cnf(998,negated_conjecture,
    ( xsd_string(esk36_0)
    | ~ cC216(iV3102)
    | ~ cC44(iV3102)
    | ~ cC30(iV3102)
    | ~ cC46(iV3102) ),
    inference(csr,[status(thm)],[997,256]) ).

cnf(999,negated_conjecture,
    ( xsd_string(esk36_0)
    | ~ cC216(iV3102)
    | ~ cC30(iV3102)
    | ~ cC46(iV3102) ),
    inference(csr,[status(thm)],[998,199]) ).

cnf(1000,negated_conjecture,
    ( xsd_string(esk36_0)
    | ~ cC216(iV3102)
    | ~ cC46(iV3102) ),
    inference(csr,[status(thm)],[999,200]) ).

cnf(1001,negated_conjecture,
    ( xsd_integer(esk36_0)
    | ~ cC46(iV3102)
    | ~ cC30(iV3102)
    | ~ cC44(iV3102)
    | ~ cC14(iV3102)
    | ~ cC28(iV3102)
    | ~ cC216(iV3102)
    | ~ cC64(iV3102)
    | ~ xsd_string(esk36_0) ),
    inference(sr,[status(thm)],[981,423,theory(equality)]) ).

cnf(1002,negated_conjecture,
    ( xsd_integer(esk36_0)
    | ~ cC64(iV3102)
    | ~ cC216(iV3102)
    | ~ cC28(iV3102)
    | ~ cC14(iV3102)
    | ~ cC44(iV3102)
    | ~ cC30(iV3102)
    | ~ cC46(iV3102) ),
    inference(csr,[status(thm)],[1001,427]) ).

cnf(1003,negated_conjecture,
    ( xsd_integer(esk36_0)
    | ~ cC216(iV3102)
    | ~ cC28(iV3102)
    | ~ cC14(iV3102)
    | ~ cC44(iV3102)
    | ~ cC30(iV3102)
    | ~ cC46(iV3102) ),
    inference(csr,[status(thm)],[1002,297]) ).

cnf(1004,negated_conjecture,
    ( xsd_integer(esk36_0)
    | ~ cC216(iV3102)
    | ~ cC14(iV3102)
    | ~ cC44(iV3102)
    | ~ cC30(iV3102)
    | ~ cC46(iV3102) ),
    inference(csr,[status(thm)],[1003,255]) ).

cnf(1005,negated_conjecture,
    ( xsd_integer(esk36_0)
    | ~ cC216(iV3102)
    | ~ cC44(iV3102)
    | ~ cC30(iV3102)
    | ~ cC46(iV3102) ),
    inference(csr,[status(thm)],[1004,256]) ).

cnf(1006,negated_conjecture,
    ( xsd_integer(esk36_0)
    | ~ cC216(iV3102)
    | ~ cC30(iV3102)
    | ~ cC46(iV3102) ),
    inference(csr,[status(thm)],[1005,199]) ).

cnf(1007,negated_conjecture,
    ( xsd_integer(esk36_0)
    | ~ cC216(iV3102)
    | ~ cC46(iV3102) ),
    inference(csr,[status(thm)],[1006,200]) ).

cnf(4035,negated_conjecture,
    ( xsd_integer(esk36_0)
    | ~ cC216(iV3102)
    | $false ),
    inference(rw,[status(thm)],[1007,989,theory(equality)]) ).

cnf(4036,negated_conjecture,
    ( xsd_integer(esk36_0)
    | ~ cC216(iV3102) ),
    inference(cn,[status(thm)],[4035,theory(equality)]) ).

cnf(4037,negated_conjecture,
    ( xsd_string(esk36_0)
    | ~ cC216(iV3102)
    | $false ),
    inference(rw,[status(thm)],[1000,989,theory(equality)]) ).

cnf(4038,negated_conjecture,
    ( xsd_string(esk36_0)
    | ~ cC216(iV3102) ),
    inference(cn,[status(thm)],[4037,theory(equality)]) ).

cnf(4043,negated_conjecture,
    ( xsd_string(esk36_0)
    | $false ),
    inference(rw,[status(thm)],[4038,990,theory(equality)]) ).

cnf(4044,negated_conjecture,
    xsd_string(esk36_0),
    inference(cn,[status(thm)],[4043,theory(equality)]) ).

cnf(4045,negated_conjecture,
    ( xsd_integer(esk36_0)
    | $false ),
    inference(rw,[status(thm)],[4036,990,theory(equality)]) ).

cnf(4046,negated_conjecture,
    xsd_integer(esk36_0),
    inference(cn,[status(thm)],[4045,theory(equality)]) ).

cnf(4048,negated_conjecture,
    ~ xsd_string(esk36_0),
    inference(spm,[status(thm)],[428,4046,theory(equality)]) ).

cnf(4049,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[4048,4044,theory(equality)]) ).

cnf(4050,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[4049,theory(equality)]) ).

cnf(4051,negated_conjecture,
    $false,
    4050,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS149+1.p
% --creating new selector for []
% -running prover on /tmp/tmpqsazYH/sel_KRS149+1.p_1 with time limit 29
% -prover status Theorem
% Problem KRS149+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS149+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS149+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
% 
%------------------------------------------------------------------------------