TSTP Solution File: KRS193+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : KRS193+1 : TPTP v5.3.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : antietam.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 07:48:29 EDT 2012

% Result   : Theorem 0.07s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   30 (   7 unt;   0 def)
%            Number of atoms       :  105 (   0 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  121 (  46   ~;  46   |;  24   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   78 (   4 sgn  56   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1,X2] :
      ( ~ ? [X3] : model(X3,X1)
    <=> status(X1,X2,cax) ),
    file('/tmp/tmp3mx9wo/sel_KRS193+1.p_1',cax) ).

fof(5,axiom,
    ! [X1,X2] :
      ( ! [X3] :
          ( model(X3,X1)
         => model(X3,X2) )
    <=> status(X1,X2,thm) ),
    file('/tmp/tmp3mx9wo/sel_KRS193+1.p_1',thm) ).

fof(7,axiom,
    ! [X7,X8] :
      ( ! [X1,X2] :
          ( status(X1,X2,X7)
         => status(X1,X2,X8) )
    <=> isa(X7,X8) ),
    file('/tmp/tmp3mx9wo/sel_KRS193+1.p_1',isa) ).

fof(10,conjecture,
    isa(cax,thm),
    file('/tmp/tmp3mx9wo/sel_KRS193+1.p_1',isa_cax_thm) ).

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

fof(17,negated_conjecture,
    ~ isa(cax,thm),
    inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).

fof(18,plain,
    ! [X1,X2] :
      ( ( ? [X3] : model(X3,X1)
        | status(X1,X2,cax) )
      & ( ~ status(X1,X2,cax)
        | ! [X3] : ~ model(X3,X1) ) ),
    inference(fof_nnf,[status(thm)],[1]) ).

fof(19,plain,
    ! [X4,X5] :
      ( ( ? [X6] : model(X6,X4)
        | status(X4,X5,cax) )
      & ( ~ status(X4,X5,cax)
        | ! [X7] : ~ model(X7,X4) ) ),
    inference(variable_rename,[status(thm)],[18]) ).

fof(20,plain,
    ! [X4,X5] :
      ( ( model(esk1_2(X4,X5),X4)
        | status(X4,X5,cax) )
      & ( ~ status(X4,X5,cax)
        | ! [X7] : ~ model(X7,X4) ) ),
    inference(skolemize,[status(esa)],[19]) ).

fof(21,plain,
    ! [X4,X5,X7] :
      ( ( ~ model(X7,X4)
        | ~ status(X4,X5,cax) )
      & ( model(esk1_2(X4,X5),X4)
        | status(X4,X5,cax) ) ),
    inference(shift_quantors,[status(thm)],[20]) ).

cnf(23,plain,
    ( ~ status(X1,X2,cax)
    | ~ model(X3,X1) ),
    inference(split_conjunct,[status(thm)],[21]) ).

fof(35,plain,
    ! [X1,X2] :
      ( ( ? [X3] :
            ( model(X3,X1)
            & ~ model(X3,X2) )
        | status(X1,X2,thm) )
      & ( ~ status(X1,X2,thm)
        | ! [X3] :
            ( ~ model(X3,X1)
            | model(X3,X2) ) ) ),
    inference(fof_nnf,[status(thm)],[5]) ).

fof(36,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)],[35]) ).

fof(37,plain,
    ! [X4,X5] :
      ( ( ( model(esk8_2(X4,X5),X4)
          & ~ model(esk8_2(X4,X5),X5) )
        | status(X4,X5,thm) )
      & ( ~ status(X4,X5,thm)
        | ! [X7] :
            ( ~ model(X7,X4)
            | model(X7,X5) ) ) ),
    inference(skolemize,[status(esa)],[36]) ).

fof(38,plain,
    ! [X4,X5,X7] :
      ( ( ~ model(X7,X4)
        | model(X7,X5)
        | ~ status(X4,X5,thm) )
      & ( ( model(esk8_2(X4,X5),X4)
          & ~ model(esk8_2(X4,X5),X5) )
        | status(X4,X5,thm) ) ),
    inference(shift_quantors,[status(thm)],[37]) ).

fof(39,plain,
    ! [X4,X5,X7] :
      ( ( ~ model(X7,X4)
        | model(X7,X5)
        | ~ status(X4,X5,thm) )
      & ( model(esk8_2(X4,X5),X4)
        | status(X4,X5,thm) )
      & ( ~ model(esk8_2(X4,X5),X5)
        | status(X4,X5,thm) ) ),
    inference(distribute,[status(thm)],[38]) ).

cnf(41,plain,
    ( status(X1,X2,thm)
    | model(esk8_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[39]) ).

fof(48,plain,
    ! [X7,X8] :
      ( ( ? [X1,X2] :
            ( status(X1,X2,X7)
            & ~ status(X1,X2,X8) )
        | isa(X7,X8) )
      & ( ~ isa(X7,X8)
        | ! [X1,X2] :
            ( ~ status(X1,X2,X7)
            | status(X1,X2,X8) ) ) ),
    inference(fof_nnf,[status(thm)],[7]) ).

fof(49,plain,
    ! [X9,X10] :
      ( ( ? [X11,X12] :
            ( status(X11,X12,X9)
            & ~ status(X11,X12,X10) )
        | isa(X9,X10) )
      & ( ~ isa(X9,X10)
        | ! [X13,X14] :
            ( ~ status(X13,X14,X9)
            | status(X13,X14,X10) ) ) ),
    inference(variable_rename,[status(thm)],[48]) ).

fof(50,plain,
    ! [X9,X10] :
      ( ( ( status(esk13_2(X9,X10),esk14_2(X9,X10),X9)
          & ~ status(esk13_2(X9,X10),esk14_2(X9,X10),X10) )
        | isa(X9,X10) )
      & ( ~ isa(X9,X10)
        | ! [X13,X14] :
            ( ~ status(X13,X14,X9)
            | status(X13,X14,X10) ) ) ),
    inference(skolemize,[status(esa)],[49]) ).

fof(51,plain,
    ! [X9,X10,X13,X14] :
      ( ( ~ status(X13,X14,X9)
        | status(X13,X14,X10)
        | ~ isa(X9,X10) )
      & ( ( status(esk13_2(X9,X10),esk14_2(X9,X10),X9)
          & ~ status(esk13_2(X9,X10),esk14_2(X9,X10),X10) )
        | isa(X9,X10) ) ),
    inference(shift_quantors,[status(thm)],[50]) ).

fof(52,plain,
    ! [X9,X10,X13,X14] :
      ( ( ~ status(X13,X14,X9)
        | status(X13,X14,X10)
        | ~ isa(X9,X10) )
      & ( status(esk13_2(X9,X10),esk14_2(X9,X10),X9)
        | isa(X9,X10) )
      & ( ~ status(esk13_2(X9,X10),esk14_2(X9,X10),X10)
        | isa(X9,X10) ) ),
    inference(distribute,[status(thm)],[51]) ).

cnf(53,plain,
    ( isa(X1,X2)
    | ~ status(esk13_2(X1,X2),esk14_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[52]) ).

cnf(54,plain,
    ( isa(X1,X2)
    | status(esk13_2(X1,X2),esk14_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[52]) ).

cnf(69,negated_conjecture,
    ~ isa(cax,thm),
    inference(split_conjunct,[status(thm)],[17]) ).

cnf(76,plain,
    ( isa(cax,X1)
    | ~ model(X2,esk13_2(cax,X1)) ),
    inference(spm,[status(thm)],[23,54,theory(equality)]) ).

cnf(97,plain,
    ( isa(cax,X1)
    | status(esk13_2(cax,X1),X2,thm) ),
    inference(spm,[status(thm)],[76,41,theory(equality)]) ).

cnf(104,plain,
    isa(cax,thm),
    inference(spm,[status(thm)],[53,97,theory(equality)]) ).

cnf(105,plain,
    $false,
    inference(sr,[status(thm)],[104,69,theory(equality)]) ).

cnf(106,plain,
    $false,
    105,
    [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/KRS193+1.p
% --creating new selector for [KRS001+0.ax, KRS001+1.ax]
% -running prover on /tmp/tmp3mx9wo/sel_KRS193+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/tmp3mx9wo/sel_KRS193+1.p_1']
% -prover status Theorem
% Problem KRS193+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS193+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS193+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
% 
%------------------------------------------------------------------------------