↑ Up

SInE---0.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : KRS195+1 : TPTP v5.3.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art08.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory   : 2005MB
% OS       : Linux 2.6.32.26-175.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Fri Jun 15 07:48:38 EDT 2012

% Result   : Theorem 0.20s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   31 (   7 unt;   0 def)
%            Number of atoms       :  121 (   0 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  144 (  54   ~;  54   |;  31   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   89 (   4 sgn  65   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(4,axiom,
    ! [X2,X3] :
      ( ! [X1] :
          ( model(X1,X2)
         => model(X1,X3) )
    <=> status(X2,X3,thm) ),
    file('/tmp/tmp9gycmC/sel_KRS195+1.p_1',thm) ).

fof(6,axiom,
    ! [X7,X8] :
      ( ! [X2,X3] :
          ( status(X2,X3,X7)
         => status(X2,X3,X8) )
    <=> isa(X7,X8) ),
    file('/tmp/tmp9gycmC/sel_KRS195+1.p_1',isa) ).

fof(9,axiom,
    ! [X2,X3] :
      ( ( ~ ? [X1] : model(X1,X2)
        & ! [X4] : model(X4,X3) )
    <=> status(X2,X3,tca) ),
    file('/tmp/tmp9gycmC/sel_KRS195+1.p_1',tca) ).

fof(10,conjecture,
    isa(tca,thm),
    file('/tmp/tmp9gycmC/sel_KRS195+1.p_1',isa_tca_thm) ).

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

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

fof(29,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(30,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)],[29]) ).

fof(31,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)],[30]) ).

fof(32,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)],[31]) ).

fof(33,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)],[32]) ).

cnf(35,plain,
    ( status(X1,X2,thm)
    | model(esk7_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[33]) ).

fof(42,plain,
    ! [X7,X8] :
      ( ( ? [X2,X3] :
            ( status(X2,X3,X7)
            & ~ status(X2,X3,X8) )
        | isa(X7,X8) )
      & ( ~ isa(X7,X8)
        | ! [X2,X3] :
            ( ~ status(X2,X3,X7)
            | status(X2,X3,X8) ) ) ),
    inference(fof_nnf,[status(thm)],[6]) ).

fof(43,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)],[42]) ).

fof(44,plain,
    ! [X9,X10] :
      ( ( ( status(esk12_2(X9,X10),esk13_2(X9,X10),X9)
          & ~ status(esk12_2(X9,X10),esk13_2(X9,X10),X10) )
        | isa(X9,X10) )
      & ( ~ isa(X9,X10)
        | ! [X13,X14] :
            ( ~ status(X13,X14,X9)
            | status(X13,X14,X10) ) ) ),
    inference(skolemize,[status(esa)],[43]) ).

fof(45,plain,
    ! [X9,X10,X13,X14] :
      ( ( ~ status(X13,X14,X9)
        | status(X13,X14,X10)
        | ~ isa(X9,X10) )
      & ( ( status(esk12_2(X9,X10),esk13_2(X9,X10),X9)
          & ~ status(esk12_2(X9,X10),esk13_2(X9,X10),X10) )
        | isa(X9,X10) ) ),
    inference(shift_quantors,[status(thm)],[44]) ).

fof(46,plain,
    ! [X9,X10,X13,X14] :
      ( ( ~ status(X13,X14,X9)
        | status(X13,X14,X10)
        | ~ isa(X9,X10) )
      & ( status(esk12_2(X9,X10),esk13_2(X9,X10),X9)
        | isa(X9,X10) )
      & ( ~ status(esk12_2(X9,X10),esk13_2(X9,X10),X10)
        | isa(X9,X10) ) ),
    inference(distribute,[status(thm)],[45]) ).

cnf(47,plain,
    ( isa(X1,X2)
    | ~ status(esk12_2(X1,X2),esk13_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[46]) ).

cnf(48,plain,
    ( isa(X1,X2)
    | status(esk12_2(X1,X2),esk13_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[46]) ).

fof(63,plain,
    ! [X2,X3] :
      ( ( ? [X1] : model(X1,X2)
        | ? [X4] : ~ model(X4,X3)
        | status(X2,X3,tca) )
      & ( ~ status(X2,X3,tca)
        | ( ! [X1] : ~ model(X1,X2)
          & ! [X4] : model(X4,X3) ) ) ),
    inference(fof_nnf,[status(thm)],[9]) ).

fof(64,plain,
    ! [X5,X6] :
      ( ( ? [X7] : model(X7,X5)
        | ? [X8] : ~ model(X8,X6)
        | status(X5,X6,tca) )
      & ( ~ status(X5,X6,tca)
        | ( ! [X9] : ~ model(X9,X5)
          & ! [X10] : model(X10,X6) ) ) ),
    inference(variable_rename,[status(thm)],[63]) ).

fof(65,plain,
    ! [X5,X6] :
      ( ( model(esk22_2(X5,X6),X5)
        | ~ model(esk23_2(X5,X6),X6)
        | status(X5,X6,tca) )
      & ( ~ status(X5,X6,tca)
        | ( ! [X9] : ~ model(X9,X5)
          & ! [X10] : model(X10,X6) ) ) ),
    inference(skolemize,[status(esa)],[64]) ).

fof(66,plain,
    ! [X5,X6,X9,X10] :
      ( ( ( model(X10,X6)
          & ~ model(X9,X5) )
        | ~ status(X5,X6,tca) )
      & ( model(esk22_2(X5,X6),X5)
        | ~ model(esk23_2(X5,X6),X6)
        | status(X5,X6,tca) ) ),
    inference(shift_quantors,[status(thm)],[65]) ).

fof(67,plain,
    ! [X5,X6,X9,X10] :
      ( ( model(X10,X6)
        | ~ status(X5,X6,tca) )
      & ( ~ model(X9,X5)
        | ~ status(X5,X6,tca) )
      & ( model(esk22_2(X5,X6),X5)
        | ~ model(esk23_2(X5,X6),X6)
        | status(X5,X6,tca) ) ),
    inference(distribute,[status(thm)],[66]) ).

cnf(69,plain,
    ( ~ status(X1,X2,tca)
    | ~ model(X3,X1) ),
    inference(split_conjunct,[status(thm)],[67]) ).

cnf(71,negated_conjecture,
    ~ isa(tca,thm),
    inference(split_conjunct,[status(thm)],[17]) ).

cnf(78,plain,
    ( isa(tca,X1)
    | ~ model(X2,esk12_2(tca,X1)) ),
    inference(spm,[status(thm)],[69,48,theory(equality)]) ).

cnf(86,plain,
    ( isa(tca,X1)
    | status(esk12_2(tca,X1),X2,thm) ),
    inference(spm,[status(thm)],[78,35,theory(equality)]) ).

cnf(89,plain,
    isa(tca,thm),
    inference(spm,[status(thm)],[47,86,theory(equality)]) ).

cnf(90,plain,
    $false,
    inference(sr,[status(thm)],[89,71,theory(equality)]) ).

cnf(91,plain,
    $false,
    90,
    [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/KRS195+1.p
% --creating new selector for [KRS001+0.ax, KRS001+1.ax]
% -running prover on /tmp/tmp9gycmC/sel_KRS195+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/tmp9gycmC/sel_KRS195+1.p_1']
% -prover status Theorem
% Problem KRS195+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS195+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS195+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
% 
%------------------------------------------------------------------------------