TSTP Solution File: KRS191+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : KRS191+1 : TPTP v5.3.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : hancock.cs.miami.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Core(TM)2 CPU          6600  @ 2.40GHz @ 2400MHz
% Memory   : 1003MB
% OS       : Linux 2.6.32.26-175.fc12.x86_64
% CPULimit : 300s
% DateTime : Fri Jun 15 07:48:21 EDT 2012

% Result   : Theorem 0.07s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   32 (   7 unt;   0 def)
%            Number of atoms       :  137 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  165 (  60   ~;  60   |;  39   &)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :  102 (   4 sgn  73   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(4,axiom,
    ! [X2,X3] :
      ( ! [X1] :
          ( model(X1,X2)
         => model(X1,X3) )
    <=> status(X2,X3,thm) ),
    file('/tmp/tmphiP4xl/sel_KRS191+1.p_1',thm) ).

fof(5,axiom,
    ! [X2,X3] :
      ( ( ? [X1] : model(X1,X2)
        & ? [X4] : ~ model(X4,X2)
        & ! [X7] : model(X7,X3) )
    <=> status(X2,X3,wtc) ),
    file('/tmp/tmphiP4xl/sel_KRS191+1.p_1',wtc) ).

fof(7,axiom,
    ! [X8,X9] :
      ( ! [X2,X3] :
          ( status(X2,X3,X8)
         => status(X2,X3,X9) )
    <=> isa(X8,X9) ),
    file('/tmp/tmphiP4xl/sel_KRS191+1.p_1',isa) ).

fof(10,conjecture,
    isa(wtc,thm),
    file('/tmp/tmphiP4xl/sel_KRS191+1.p_1',isa_wtc_thm) ).

fof(11,negated_conjecture,
    ~ isa(wtc,thm),
    inference(assume_negation,[status(cth)],[10]) ).

fof(14,plain,
    ! [X2,X3] :
      ( ( ? [X1] : model(X1,X2)
        & ? [X4] : ~ model(X4,X2)
        & ! [X7] : model(X7,X3) )
    <=> status(X2,X3,wtc) ),
    inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).

fof(18,negated_conjecture,
    ~ isa(wtc,thm),
    inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).

fof(30,plain,
    ! [X2,X3] :
      ( ( ? [X1] :
            ( model(X1,X2)
            & ~ model(X1,X3) )
        | status(X2,X3,thm) )
      & ( ~ status(X2,X3,thm)
        | ! [X1] :
            ( ~ model(X1,X2)
            | model(X1,X3) ) ) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(31,plain,
    ! [X4,X5] :
      ( ( ? [X6] :
            ( model(X6,X4)
            & ~ model(X6,X5) )
        | status(X4,X5,thm) )
      & ( ~ status(X4,X5,thm)
        | ! [X7] :
            ( ~ model(X7,X4)
            | model(X7,X5) ) ) ),
    inference(variable_rename,[status(thm)],[30]) ).

fof(32,plain,
    ! [X4,X5] :
      ( ( ( model(esk7_2(X4,X5),X4)
          & ~ model(esk7_2(X4,X5),X5) )
        | status(X4,X5,thm) )
      & ( ~ status(X4,X5,thm)
        | ! [X7] :
            ( ~ model(X7,X4)
            | model(X7,X5) ) ) ),
    inference(skolemize,[status(esa)],[31]) ).

fof(33,plain,
    ! [X4,X5,X7] :
      ( ( ~ model(X7,X4)
        | model(X7,X5)
        | ~ status(X4,X5,thm) )
      & ( ( model(esk7_2(X4,X5),X4)
          & ~ model(esk7_2(X4,X5),X5) )
        | status(X4,X5,thm) ) ),
    inference(shift_quantors,[status(thm)],[32]) ).

fof(34,plain,
    ! [X4,X5,X7] :
      ( ( ~ model(X7,X4)
        | model(X7,X5)
        | ~ status(X4,X5,thm) )
      & ( model(esk7_2(X4,X5),X4)
        | status(X4,X5,thm) )
      & ( ~ model(esk7_2(X4,X5),X5)
        | status(X4,X5,thm) ) ),
    inference(distribute,[status(thm)],[33]) ).

cnf(35,plain,
    ( status(X1,X2,thm)
    | ~ model(esk7_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[34]) ).

fof(38,plain,
    ! [X2,X3] :
      ( ( ! [X1] : ~ model(X1,X2)
        | ! [X4] : model(X4,X2)
        | ? [X7] : ~ model(X7,X3)
        | status(X2,X3,wtc) )
      & ( ~ status(X2,X3,wtc)
        | ( ? [X1] : model(X1,X2)
          & ? [X4] : ~ model(X4,X2)
          & ! [X7] : model(X7,X3) ) ) ),
    inference(fof_nnf,[status(thm)],[14]) ).

fof(39,plain,
    ! [X8,X9] :
      ( ( ! [X10] : ~ model(X10,X8)
        | ! [X11] : model(X11,X8)
        | ? [X12] : ~ model(X12,X9)
        | status(X8,X9,wtc) )
      & ( ~ status(X8,X9,wtc)
        | ( ? [X13] : model(X13,X8)
          & ? [X14] : ~ model(X14,X8)
          & ! [X15] : model(X15,X9) ) ) ),
    inference(variable_rename,[status(thm)],[38]) ).

fof(40,plain,
    ! [X8,X9] :
      ( ( ! [X10] : ~ model(X10,X8)
        | ! [X11] : model(X11,X8)
        | ~ model(esk8_2(X8,X9),X9)
        | status(X8,X9,wtc) )
      & ( ~ status(X8,X9,wtc)
        | ( model(esk9_2(X8,X9),X8)
          & ~ model(esk10_2(X8,X9),X8)
          & ! [X15] : model(X15,X9) ) ) ),
    inference(skolemize,[status(esa)],[39]) ).

fof(41,plain,
    ! [X8,X9,X10,X11,X15] :
      ( ( ( model(X15,X9)
          & model(esk9_2(X8,X9),X8)
          & ~ model(esk10_2(X8,X9),X8) )
        | ~ status(X8,X9,wtc) )
      & ( model(X11,X8)
        | ~ model(X10,X8)
        | ~ model(esk8_2(X8,X9),X9)
        | status(X8,X9,wtc) ) ),
    inference(shift_quantors,[status(thm)],[40]) ).

fof(42,plain,
    ! [X8,X9,X10,X11,X15] :
      ( ( model(X15,X9)
        | ~ status(X8,X9,wtc) )
      & ( model(esk9_2(X8,X9),X8)
        | ~ status(X8,X9,wtc) )
      & ( ~ model(esk10_2(X8,X9),X8)
        | ~ status(X8,X9,wtc) )
      & ( model(X11,X8)
        | ~ model(X10,X8)
        | ~ model(esk8_2(X8,X9),X9)
        | status(X8,X9,wtc) ) ),
    inference(distribute,[status(thm)],[41]) ).

cnf(46,plain,
    ( model(X3,X2)
    | ~ status(X1,X2,wtc) ),
    inference(split_conjunct,[status(thm)],[42]) ).

fof(52,plain,
    ! [X8,X9] :
      ( ( ? [X2,X3] :
            ( status(X2,X3,X8)
            & ~ status(X2,X3,X9) )
        | isa(X8,X9) )
      & ( ~ isa(X8,X9)
        | ! [X2,X3] :
            ( ~ status(X2,X3,X8)
            | status(X2,X3,X9) ) ) ),
    inference(fof_nnf,[status(thm)],[7]) ).

fof(53,plain,
    ! [X10,X11] :
      ( ( ? [X12,X13] :
            ( status(X12,X13,X10)
            & ~ status(X12,X13,X11) )
        | isa(X10,X11) )
      & ( ~ isa(X10,X11)
        | ! [X14,X15] :
            ( ~ status(X14,X15,X10)
            | status(X14,X15,X11) ) ) ),
    inference(variable_rename,[status(thm)],[52]) ).

fof(54,plain,
    ! [X10,X11] :
      ( ( ( status(esk15_2(X10,X11),esk16_2(X10,X11),X10)
          & ~ status(esk15_2(X10,X11),esk16_2(X10,X11),X11) )
        | isa(X10,X11) )
      & ( ~ isa(X10,X11)
        | ! [X14,X15] :
            ( ~ status(X14,X15,X10)
            | status(X14,X15,X11) ) ) ),
    inference(skolemize,[status(esa)],[53]) ).

fof(55,plain,
    ! [X10,X11,X14,X15] :
      ( ( ~ status(X14,X15,X10)
        | status(X14,X15,X11)
        | ~ isa(X10,X11) )
      & ( ( status(esk15_2(X10,X11),esk16_2(X10,X11),X10)
          & ~ status(esk15_2(X10,X11),esk16_2(X10,X11),X11) )
        | isa(X10,X11) ) ),
    inference(shift_quantors,[status(thm)],[54]) ).

fof(56,plain,
    ! [X10,X11,X14,X15] :
      ( ( ~ status(X14,X15,X10)
        | status(X14,X15,X11)
        | ~ isa(X10,X11) )
      & ( status(esk15_2(X10,X11),esk16_2(X10,X11),X10)
        | isa(X10,X11) )
      & ( ~ status(esk15_2(X10,X11),esk16_2(X10,X11),X11)
        | isa(X10,X11) ) ),
    inference(distribute,[status(thm)],[55]) ).

cnf(57,plain,
    ( isa(X1,X2)
    | ~ status(esk15_2(X1,X2),esk16_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[56]) ).

cnf(58,plain,
    ( isa(X1,X2)
    | status(esk15_2(X1,X2),esk16_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[56]) ).

cnf(73,negated_conjecture,
    ~ isa(wtc,thm),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(82,plain,
    ( model(X1,esk16_2(wtc,X2))
    | isa(wtc,X2) ),
    inference(spm,[status(thm)],[46,58,theory(equality)]) ).

cnf(100,plain,
    ( status(X1,esk16_2(wtc,X2),thm)
    | isa(wtc,X2) ),
    inference(spm,[status(thm)],[35,82,theory(equality)]) ).

cnf(107,plain,
    isa(wtc,thm),
    inference(spm,[status(thm)],[57,100,theory(equality)]) ).

cnf(108,plain,
    $false,
    inference(sr,[status(thm)],[107,73,theory(equality)]) ).

cnf(109,plain,
    $false,
    108,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
%   from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS191+1.p
% --creating new selector for [KRS001+0.ax, KRS001+1.ax]
% -running prover on /tmp/tmphiP4xl/sel_KRS191+1.p_1 with time limit 29
% -running prover with command ['/davis/home/graph/tptp/Systems/SInE---0.4/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/tmp/tmphiP4xl/sel_KRS191+1.p_1']
% -prover status Theorem
% Problem KRS191+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS191+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS191+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
% 
%------------------------------------------------------------------------------