TSTP Solution File: KRS187+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : KRS187+1 : TPTP v5.3.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : appomattox.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 07:48:05 EDT 2012

% Result   : Theorem 0.08s
% Output   : CNFRefutation 0.08s
% 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 :  142 (  52   ~;  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/tmp3s42x1/sel_KRS187+1.p_1',thm) ).

fof(6,axiom,
    ! [X2,X3] :
      ( ( ? [X1] : model(X1,X2)
        & ! [X4] : model(X4,X3) )
    <=> status(X2,X3,tac) ),
    file('/tmp/tmp3s42x1/sel_KRS187+1.p_1',tac) ).

fof(7,axiom,
    ! [X7,X8] :
      ( ! [X2,X3] :
          ( status(X2,X3,X7)
         => status(X2,X3,X8) )
    <=> isa(X7,X8) ),
    file('/tmp/tmp3s42x1/sel_KRS187+1.p_1',isa) ).

fof(10,conjecture,
    isa(tac,thm),
    file('/tmp/tmp3s42x1/sel_KRS187+1.p_1',isa_tac_thm) ).

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

fof(17,negated_conjecture,
    ~ isa(tac,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(34,plain,
    ( status(X1,X2,thm)
    | ~ model(esk7_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[33]) ).

fof(42,plain,
    ! [X2,X3] :
      ( ( ! [X1] : ~ model(X1,X2)
        | ? [X4] : ~ model(X4,X3)
        | status(X2,X3,tac) )
      & ( ~ status(X2,X3,tac)
        | ( ? [X1] : model(X1,X2)
          & ! [X4] : model(X4,X3) ) ) ),
    inference(fof_nnf,[status(thm)],[6]) ).

fof(43,plain,
    ! [X5,X6] :
      ( ( ! [X7] : ~ model(X7,X5)
        | ? [X8] : ~ model(X8,X6)
        | status(X5,X6,tac) )
      & ( ~ status(X5,X6,tac)
        | ( ? [X9] : model(X9,X5)
          & ! [X10] : model(X10,X6) ) ) ),
    inference(variable_rename,[status(thm)],[42]) ).

fof(44,plain,
    ! [X5,X6] :
      ( ( ! [X7] : ~ model(X7,X5)
        | ~ model(esk12_2(X5,X6),X6)
        | status(X5,X6,tac) )
      & ( ~ status(X5,X6,tac)
        | ( model(esk13_2(X5,X6),X5)
          & ! [X10] : model(X10,X6) ) ) ),
    inference(skolemize,[status(esa)],[43]) ).

fof(45,plain,
    ! [X5,X6,X7,X10] :
      ( ( ( model(X10,X6)
          & model(esk13_2(X5,X6),X5) )
        | ~ status(X5,X6,tac) )
      & ( ~ model(X7,X5)
        | ~ model(esk12_2(X5,X6),X6)
        | status(X5,X6,tac) ) ),
    inference(shift_quantors,[status(thm)],[44]) ).

fof(46,plain,
    ! [X5,X6,X7,X10] :
      ( ( model(X10,X6)
        | ~ status(X5,X6,tac) )
      & ( model(esk13_2(X5,X6),X5)
        | ~ status(X5,X6,tac) )
      & ( ~ model(X7,X5)
        | ~ model(esk12_2(X5,X6),X6)
        | status(X5,X6,tac) ) ),
    inference(distribute,[status(thm)],[45]) ).

cnf(49,plain,
    ( model(X3,X2)
    | ~ status(X1,X2,tac) ),
    inference(split_conjunct,[status(thm)],[46]) ).

fof(50,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)],[7]) ).

fof(51,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)],[50]) ).

fof(52,plain,
    ! [X9,X10] :
      ( ( ( status(esk14_2(X9,X10),esk15_2(X9,X10),X9)
          & ~ status(esk14_2(X9,X10),esk15_2(X9,X10),X10) )
        | isa(X9,X10) )
      & ( ~ isa(X9,X10)
        | ! [X13,X14] :
            ( ~ status(X13,X14,X9)
            | status(X13,X14,X10) ) ) ),
    inference(skolemize,[status(esa)],[51]) ).

fof(53,plain,
    ! [X9,X10,X13,X14] :
      ( ( ~ status(X13,X14,X9)
        | status(X13,X14,X10)
        | ~ isa(X9,X10) )
      & ( ( status(esk14_2(X9,X10),esk15_2(X9,X10),X9)
          & ~ status(esk14_2(X9,X10),esk15_2(X9,X10),X10) )
        | isa(X9,X10) ) ),
    inference(shift_quantors,[status(thm)],[52]) ).

fof(54,plain,
    ! [X9,X10,X13,X14] :
      ( ( ~ status(X13,X14,X9)
        | status(X13,X14,X10)
        | ~ isa(X9,X10) )
      & ( status(esk14_2(X9,X10),esk15_2(X9,X10),X9)
        | isa(X9,X10) )
      & ( ~ status(esk14_2(X9,X10),esk15_2(X9,X10),X10)
        | isa(X9,X10) ) ),
    inference(distribute,[status(thm)],[53]) ).

cnf(55,plain,
    ( isa(X1,X2)
    | ~ status(esk14_2(X1,X2),esk15_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[54]) ).

cnf(56,plain,
    ( isa(X1,X2)
    | status(esk14_2(X1,X2),esk15_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[54]) ).

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

cnf(78,plain,
    ( model(X1,esk15_2(tac,X2))
    | isa(tac,X2) ),
    inference(spm,[status(thm)],[49,56,theory(equality)]) ).

cnf(93,plain,
    ( status(X1,esk15_2(tac,X2),thm)
    | isa(tac,X2) ),
    inference(spm,[status(thm)],[34,78,theory(equality)]) ).

cnf(140,plain,
    isa(tac,thm),
    inference(spm,[status(thm)],[55,93,theory(equality)]) ).

cnf(141,plain,
    $false,
    inference(sr,[status(thm)],[140,71,theory(equality)]) ).

cnf(142,plain,
    $false,
    141,
    [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/KRS187+1.p
% --creating new selector for [KRS001+0.ax, KRS001+1.ax]
% -running prover on /tmp/tmp3s42x1/sel_KRS187+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/tmp3s42x1/sel_KRS187+1.p_1']
% -prover status Theorem
% Problem KRS187+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS187+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS187+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
% 
%------------------------------------------------------------------------------