TSTP Solution File: KRS074+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : KRS074+1 : TPTP v5.0.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art11.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory   : 2006MB
% OS       : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 13:01:36 EST 2010

% Result   : Unsatisfiable 0.19s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   16 (   5 unt;   0 def)
%            Number of atoms       :  107 (   0 equ)
%            Maximal formula atoms :   23 (   6 avg)
%            Number of connectives :  144 (  53   ~;  49   |;  38   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   40 (   1 sgn  24   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(4,axiom,
    ! [X1] :
      ( cUnsatisfiable(X1)
    <=> ( ? [X2] :
            ( rs(X1,X2)
            & cp(X2)
            & ? [X5] :
                ( rinvS(X2,X5)
                & cp(X5) ) )
        & ! [X2] :
            ( rs(X1,X2)
           => ~ cp(X2) ) ) ),
    file('/tmp/tmpWNJcfe/sel_KRS074+1.p_1',axiom_2) ).

fof(13,axiom,
    cUnsatisfiable(i2003_11_14_17_18_59896),
    file('/tmp/tmpWNJcfe/sel_KRS074+1.p_1',axiom_9) ).

fof(31,plain,
    ! [X1] :
      ( cUnsatisfiable(X1)
    <=> ( ? [X2] :
            ( rs(X1,X2)
            & cp(X2)
            & ? [X5] :
                ( rinvS(X2,X5)
                & cp(X5) ) )
        & ! [X2] :
            ( rs(X1,X2)
           => ~ cp(X2) ) ) ),
    inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).

fof(43,plain,
    ! [X1] :
      ( ( ~ cUnsatisfiable(X1)
        | ( ? [X2] :
              ( rs(X1,X2)
              & cp(X2)
              & ? [X5] :
                  ( rinvS(X2,X5)
                  & cp(X5) ) )
          & ! [X2] :
              ( ~ rs(X1,X2)
              | ~ cp(X2) ) ) )
      & ( ! [X2] :
            ( ~ rs(X1,X2)
            | ~ cp(X2)
            | ! [X5] :
                ( ~ rinvS(X2,X5)
                | ~ cp(X5) ) )
        | ? [X2] :
            ( rs(X1,X2)
            & cp(X2) )
        | cUnsatisfiable(X1) ) ),
    inference(fof_nnf,[status(thm)],[31]) ).

fof(44,plain,
    ! [X6] :
      ( ( ~ cUnsatisfiable(X6)
        | ( ? [X7] :
              ( rs(X6,X7)
              & cp(X7)
              & ? [X8] :
                  ( rinvS(X7,X8)
                  & cp(X8) ) )
          & ! [X9] :
              ( ~ rs(X6,X9)
              | ~ cp(X9) ) ) )
      & ( ! [X10] :
            ( ~ rs(X6,X10)
            | ~ cp(X10)
            | ! [X11] :
                ( ~ rinvS(X10,X11)
                | ~ cp(X11) ) )
        | ? [X12] :
            ( rs(X6,X12)
            & cp(X12) )
        | cUnsatisfiable(X6) ) ),
    inference(variable_rename,[status(thm)],[43]) ).

fof(45,plain,
    ! [X6] :
      ( ( ~ cUnsatisfiable(X6)
        | ( rs(X6,esk1_1(X6))
          & cp(esk1_1(X6))
          & rinvS(esk1_1(X6),esk2_1(X6))
          & cp(esk2_1(X6))
          & ! [X9] :
              ( ~ rs(X6,X9)
              | ~ cp(X9) ) ) )
      & ( ! [X10] :
            ( ~ rs(X6,X10)
            | ~ cp(X10)
            | ! [X11] :
                ( ~ rinvS(X10,X11)
                | ~ cp(X11) ) )
        | ( rs(X6,esk3_1(X6))
          & cp(esk3_1(X6)) )
        | cUnsatisfiable(X6) ) ),
    inference(skolemize,[status(esa)],[44]) ).

fof(46,plain,
    ! [X6,X9,X10,X11] :
      ( ( ~ rinvS(X10,X11)
        | ~ cp(X11)
        | ~ rs(X6,X10)
        | ~ cp(X10)
        | ( rs(X6,esk3_1(X6))
          & cp(esk3_1(X6)) )
        | cUnsatisfiable(X6) )
      & ( ( ( ~ rs(X6,X9)
            | ~ cp(X9) )
          & rs(X6,esk1_1(X6))
          & cp(esk1_1(X6))
          & rinvS(esk1_1(X6),esk2_1(X6))
          & cp(esk2_1(X6)) )
        | ~ cUnsatisfiable(X6) ) ),
    inference(shift_quantors,[status(thm)],[45]) ).

fof(47,plain,
    ! [X6,X9,X10,X11] :
      ( ( rs(X6,esk3_1(X6))
        | ~ rinvS(X10,X11)
        | ~ cp(X11)
        | ~ rs(X6,X10)
        | ~ cp(X10)
        | cUnsatisfiable(X6) )
      & ( cp(esk3_1(X6))
        | ~ rinvS(X10,X11)
        | ~ cp(X11)
        | ~ rs(X6,X10)
        | ~ cp(X10)
        | cUnsatisfiable(X6) )
      & ( ~ rs(X6,X9)
        | ~ cp(X9)
        | ~ cUnsatisfiable(X6) )
      & ( rs(X6,esk1_1(X6))
        | ~ cUnsatisfiable(X6) )
      & ( cp(esk1_1(X6))
        | ~ cUnsatisfiable(X6) )
      & ( rinvS(esk1_1(X6),esk2_1(X6))
        | ~ cUnsatisfiable(X6) )
      & ( cp(esk2_1(X6))
        | ~ cUnsatisfiable(X6) ) ),
    inference(distribute,[status(thm)],[46]) ).

cnf(50,plain,
    ( cp(esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[47]) ).

cnf(51,plain,
    ( rs(X1,esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[47]) ).

cnf(52,plain,
    ( ~ cUnsatisfiable(X1)
    | ~ cp(X2)
    | ~ rs(X1,X2) ),
    inference(split_conjunct,[status(thm)],[47]) ).

cnf(83,plain,
    cUnsatisfiable(i2003_11_14_17_18_59896),
    inference(split_conjunct,[status(thm)],[13]) ).

cnf(140,plain,
    ( ~ cUnsatisfiable(X1)
    | ~ cp(esk1_1(X1)) ),
    inference(spm,[status(thm)],[52,51,theory(equality)]) ).

cnf(153,plain,
    ~ cUnsatisfiable(X1),
    inference(csr,[status(thm)],[140,50]) ).

cnf(154,plain,
    $false,
    inference(sr,[status(thm)],[83,153,theory(equality)]) ).

cnf(155,plain,
    $false,
    154,
    [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/KRS074+1.p
% --creating new selector for []
% -running prover on /tmp/tmpWNJcfe/sel_KRS074+1.p_1 with time limit 29
% -prover status Unsatisfiable
% Problem KRS074+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS074+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS074+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Unsatisfiable
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------