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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : KRS156+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 13:03:31 EST 2010

% Result   : Theorem 0.44s
% Output   : CNFRefutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   50 (  10 unt;   0 def)
%            Number of atoms       :  215 (   0 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  286 ( 121   ~; 117   |;  41   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   32 (   2 sgn  21   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(34,axiom,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    file('/tmp/tmpRXgW_0/sel_KRS156+1.p_1',axiom_0) ).

fof(35,axiom,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    file('/tmp/tmpRXgW_0/sel_KRS156+1.p_1',axiom_1) ).

fof(73,axiom,
    ! [X1] :
      ( cTEST(X1)
    <=> ( cC140(X1)
        & cC116(X1) ) ),
    file('/tmp/tmpRXgW_0/sel_KRS156+1.p_1',axiom_127) ).

fof(89,conjecture,
    ( ! [X1] :
        ( cowlThing(X1)
        & ~ cowlNothing(X1) )
    & ! [X1] :
        ( xsd_string(X1)
      <=> ~ xsd_integer(X1) )
    & cC116(iV5475)
    & cC140(iV5475)
    & cowlThing(iV5475)
    & cC138(iV5475) ),
    file('/tmp/tmpRXgW_0/sel_KRS156+1.p_1',the_axiom) ).

fof(95,axiom,
    cTEST(iV5475),
    file('/tmp/tmpRXgW_0/sel_KRS156+1.p_1',axiom_131) ).

fof(136,axiom,
    ! [X1] :
      ( cC140(X1)
    <=> ( cTOP(X1)
        & cC138(X1) ) ),
    file('/tmp/tmpRXgW_0/sel_KRS156+1.p_1',axiom_49) ).

fof(147,negated_conjecture,
    ~ ( ! [X1] :
          ( cowlThing(X1)
          & ~ cowlNothing(X1) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & cC116(iV5475)
      & cC140(iV5475)
      & cowlThing(iV5475)
      & cC138(iV5475) ),
    inference(assume_negation,[status(cth)],[89]) ).

fof(148,plain,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    inference(fof_simplification,[status(thm)],[34,theory(equality)]) ).

fof(149,plain,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    inference(fof_simplification,[status(thm)],[35,theory(equality)]) ).

fof(150,negated_conjecture,
    ~ ( ! [X1] :
          ( cowlThing(X1)
          & ~ cowlNothing(X1) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & cC116(iV5475)
      & cC140(iV5475)
      & cowlThing(iV5475)
      & cC138(iV5475) ),
    inference(fof_simplification,[status(thm)],[147,theory(equality)]) ).

fof(361,plain,
    ! [X2] :
      ( cowlThing(X2)
      & ~ cowlNothing(X2) ),
    inference(variable_rename,[status(thm)],[148]) ).

cnf(362,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[361]) ).

cnf(363,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[361]) ).

fof(364,plain,
    ! [X1] :
      ( ( ~ xsd_string(X1)
        | ~ xsd_integer(X1) )
      & ( xsd_integer(X1)
        | xsd_string(X1) ) ),
    inference(fof_nnf,[status(thm)],[149]) ).

fof(365,plain,
    ! [X2] :
      ( ( ~ xsd_string(X2)
        | ~ xsd_integer(X2) )
      & ( xsd_integer(X2)
        | xsd_string(X2) ) ),
    inference(variable_rename,[status(thm)],[364]) ).

cnf(366,plain,
    ( xsd_string(X1)
    | xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[365]) ).

cnf(367,plain,
    ( ~ xsd_integer(X1)
    | ~ xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[365]) ).

fof(614,plain,
    ! [X1] :
      ( ( ~ cTEST(X1)
        | ( cC140(X1)
          & cC116(X1) ) )
      & ( ~ cC140(X1)
        | ~ cC116(X1)
        | cTEST(X1) ) ),
    inference(fof_nnf,[status(thm)],[73]) ).

fof(615,plain,
    ! [X2] :
      ( ( ~ cTEST(X2)
        | ( cC140(X2)
          & cC116(X2) ) )
      & ( ~ cC140(X2)
        | ~ cC116(X2)
        | cTEST(X2) ) ),
    inference(variable_rename,[status(thm)],[614]) ).

fof(616,plain,
    ! [X2] :
      ( ( cC140(X2)
        | ~ cTEST(X2) )
      & ( cC116(X2)
        | ~ cTEST(X2) )
      & ( ~ cC140(X2)
        | ~ cC116(X2)
        | cTEST(X2) ) ),
    inference(distribute,[status(thm)],[615]) ).

cnf(618,plain,
    ( cC116(X1)
    | ~ cTEST(X1) ),
    inference(split_conjunct,[status(thm)],[616]) ).

cnf(619,plain,
    ( cC140(X1)
    | ~ cTEST(X1) ),
    inference(split_conjunct,[status(thm)],[616]) ).

fof(710,negated_conjecture,
    ( ? [X1] :
        ( ~ cowlThing(X1)
        | cowlNothing(X1) )
    | ? [X1] :
        ( ( ~ xsd_string(X1)
          | xsd_integer(X1) )
        & ( xsd_string(X1)
          | ~ xsd_integer(X1) ) )
    | ~ cC116(iV5475)
    | ~ cC140(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC138(iV5475) ),
    inference(fof_nnf,[status(thm)],[150]) ).

fof(711,negated_conjecture,
    ( ? [X2] :
        ( ~ cowlThing(X2)
        | cowlNothing(X2) )
    | ? [X3] :
        ( ( ~ xsd_string(X3)
          | xsd_integer(X3) )
        & ( xsd_string(X3)
          | ~ xsd_integer(X3) ) )
    | ~ cC116(iV5475)
    | ~ cC140(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC138(iV5475) ),
    inference(variable_rename,[status(thm)],[710]) ).

fof(712,negated_conjecture,
    ( ~ cowlThing(esk62_0)
    | cowlNothing(esk62_0)
    | ( ( ~ xsd_string(esk63_0)
        | xsd_integer(esk63_0) )
      & ( xsd_string(esk63_0)
        | ~ xsd_integer(esk63_0) ) )
    | ~ cC116(iV5475)
    | ~ cC140(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC138(iV5475) ),
    inference(skolemize,[status(esa)],[711]) ).

fof(713,negated_conjecture,
    ( ( ~ xsd_string(esk63_0)
      | xsd_integer(esk63_0)
      | ~ cowlThing(esk62_0)
      | cowlNothing(esk62_0)
      | ~ cC116(iV5475)
      | ~ cC140(iV5475)
      | ~ cowlThing(iV5475)
      | ~ cC138(iV5475) )
    & ( xsd_string(esk63_0)
      | ~ xsd_integer(esk63_0)
      | ~ cowlThing(esk62_0)
      | cowlNothing(esk62_0)
      | ~ cC116(iV5475)
      | ~ cC140(iV5475)
      | ~ cowlThing(iV5475)
      | ~ cC138(iV5475) ) ),
    inference(distribute,[status(thm)],[712]) ).

cnf(714,negated_conjecture,
    ( cowlNothing(esk62_0)
    | xsd_string(esk63_0)
    | ~ cC138(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cowlThing(esk62_0)
    | ~ xsd_integer(esk63_0) ),
    inference(split_conjunct,[status(thm)],[713]) ).

cnf(715,negated_conjecture,
    ( cowlNothing(esk62_0)
    | xsd_integer(esk63_0)
    | ~ cC138(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cowlThing(esk62_0)
    | ~ xsd_string(esk63_0) ),
    inference(split_conjunct,[status(thm)],[713]) ).

cnf(721,plain,
    cTEST(iV5475),
    inference(split_conjunct,[status(thm)],[95]) ).

fof(952,plain,
    ! [X1] :
      ( ( ~ cC140(X1)
        | ( cTOP(X1)
          & cC138(X1) ) )
      & ( ~ cTOP(X1)
        | ~ cC138(X1)
        | cC140(X1) ) ),
    inference(fof_nnf,[status(thm)],[136]) ).

fof(953,plain,
    ! [X2] :
      ( ( ~ cC140(X2)
        | ( cTOP(X2)
          & cC138(X2) ) )
      & ( ~ cTOP(X2)
        | ~ cC138(X2)
        | cC140(X2) ) ),
    inference(variable_rename,[status(thm)],[952]) ).

fof(954,plain,
    ! [X2] :
      ( ( cTOP(X2)
        | ~ cC140(X2) )
      & ( cC138(X2)
        | ~ cC140(X2) )
      & ( ~ cTOP(X2)
        | ~ cC138(X2)
        | cC140(X2) ) ),
    inference(distribute,[status(thm)],[953]) ).

cnf(956,plain,
    ( cC138(X1)
    | ~ cC140(X1) ),
    inference(split_conjunct,[status(thm)],[954]) ).

cnf(1024,negated_conjecture,
    ( cowlNothing(esk62_0)
    | xsd_string(esk63_0)
    | $false
    | $false
    | ~ xsd_integer(esk63_0)
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[714,363,theory(equality)]),363,theory(equality)]),
    [unfolding] ).

cnf(1025,negated_conjecture,
    ( cowlNothing(esk62_0)
    | xsd_integer(esk63_0)
    | $false
    | $false
    | ~ xsd_string(esk63_0)
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[715,363,theory(equality)]),363,theory(equality)]),
    [unfolding] ).

cnf(1027,negated_conjecture,
    ( xsd_string(esk63_0)
    | ~ xsd_integer(esk63_0)
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475) ),
    inference(sr,[status(thm)],[1024,362,theory(equality)]) ).

cnf(1028,negated_conjecture,
    ( xsd_string(esk63_0)
    | ~ cC116(iV5475)
    | ~ cC140(iV5475)
    | ~ xsd_integer(esk63_0) ),
    inference(csr,[status(thm)],[1027,956]) ).

cnf(1029,negated_conjecture,
    ( xsd_string(esk63_0)
    | ~ cC116(iV5475)
    | ~ cC140(iV5475) ),
    inference(csr,[status(thm)],[1028,366]) ).

cnf(1030,negated_conjecture,
    ( xsd_integer(esk63_0)
    | ~ xsd_string(esk63_0)
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475) ),
    inference(sr,[status(thm)],[1025,362,theory(equality)]) ).

cnf(1031,negated_conjecture,
    ( xsd_integer(esk63_0)
    | ~ cC116(iV5475)
    | ~ cC140(iV5475)
    | ~ xsd_string(esk63_0) ),
    inference(csr,[status(thm)],[1030,956]) ).

cnf(1032,negated_conjecture,
    ( xsd_integer(esk63_0)
    | ~ cC116(iV5475)
    | ~ cC140(iV5475) ),
    inference(csr,[status(thm)],[1031,1029]) ).

cnf(1033,negated_conjecture,
    ( ~ xsd_string(esk63_0)
    | ~ cC116(iV5475)
    | ~ cC140(iV5475) ),
    inference(spm,[status(thm)],[367,1032,theory(equality)]) ).

cnf(1034,plain,
    cC140(iV5475),
    inference(spm,[status(thm)],[619,721,theory(equality)]) ).

cnf(1035,plain,
    cC116(iV5475),
    inference(spm,[status(thm)],[618,721,theory(equality)]) ).

cnf(2683,negated_conjecture,
    ( ~ cC116(iV5475)
    | ~ cC140(iV5475) ),
    inference(csr,[status(thm)],[1033,1029]) ).

cnf(2687,negated_conjecture,
    ( ~ cC116(iV5475)
    | $false ),
    inference(rw,[status(thm)],[2683,1034,theory(equality)]) ).

cnf(2688,negated_conjecture,
    ~ cC116(iV5475),
    inference(cn,[status(thm)],[2687,theory(equality)]) ).

cnf(2690,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[2688,1035,theory(equality)]) ).

cnf(2691,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[2690,theory(equality)]) ).

cnf(2692,negated_conjecture,
    $false,
    2691,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS156+1.p
% --creating new selector for []
% -running prover on /tmp/tmpRXgW_0/sel_KRS156+1.p_1 with time limit 29
% -prover status Theorem
% Problem KRS156+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS156+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS156+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
% 
%------------------------------------------------------------------------------