TSTP Solution File: KRS260+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : KRS260+1 : TPTP v5.3.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : glasgow.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 07:57:44 EDT 2012

% Result   : Theorem 0.07s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   56 (  18 unt;   0 def)
%            Number of atoms       :  221 (   0 equ)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :  257 (  92   ~;  98   |;  60   &)
%                                         (   4 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-2 aty)
%            Number of variables   :  147 (  22 sgn  74   !;  32   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1,X2] :
      ( ( ? [X3] : model(X3,X1)
        & ! [X4] :
            ( model(X4,X1)
           => model(X4,X2) )
        & ? [X5] :
            ( model(X5,X2)
            & ~ model(X5,X1) ) )
    <=> status(X1,X2,wec) ),
    file('/tmp/tmpy4ngt0/sel_KRS260+1.p_1',wec) ).

fof(2,axiom,
    ? [X3,X1,X2] :
      ( model(X3,X1)
      & ~ model(X3,X2)
      & ? [X4] : model(X4,X2) ),
    file('/tmp/tmpy4ngt0/sel_KRS260+1.p_1',non_thm_spt) ).

fof(3,axiom,
    ? [X6] :
    ! [X7] : model(X7,X6),
    file('/tmp/tmpy4ngt0/sel_KRS260+1.p_1',tautology) ).

fof(4,axiom,
    ! [X8,X9] :
      ( ? [X1,X2] :
          ( status(X1,X2,X8)
          & status(X1,X2,X9) )
    <=> mighta(X8,X9) ),
    file('/tmp/tmpy4ngt0/sel_KRS260+1.p_1',mighta) ).

fof(6,axiom,
    ! [X1,X2] :
      ( ! [X3] :
          ( model(X3,X1)
         => model(X3,X2) )
    <=> status(X1,X2,thm) ),
    file('/tmp/tmpy4ngt0/sel_KRS260+1.p_1',thm) ).

fof(10,conjecture,
    mighta(wec,thm),
    file('/tmp/tmpy4ngt0/sel_KRS260+1.p_1',mighta_wec_thm) ).

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

fof(12,plain,
    ! [X1,X2] :
      ( ( ? [X3] : model(X3,X1)
        & ! [X4] :
            ( model(X4,X1)
           => model(X4,X2) )
        & ? [X5] :
            ( model(X5,X2)
            & ~ model(X5,X1) ) )
    <=> status(X1,X2,wec) ),
    inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).

fof(13,plain,
    ? [X3,X1,X2] :
      ( model(X3,X1)
      & ~ model(X3,X2)
      & ? [X4] : model(X4,X2) ),
    inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).

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

fof(19,plain,
    ! [X1,X2] :
      ( ( ! [X3] : ~ model(X3,X1)
        | ? [X4] :
            ( model(X4,X1)
            & ~ model(X4,X2) )
        | ! [X5] :
            ( ~ model(X5,X2)
            | model(X5,X1) )
        | status(X1,X2,wec) )
      & ( ~ status(X1,X2,wec)
        | ( ? [X3] : model(X3,X1)
          & ! [X4] :
              ( ~ model(X4,X1)
              | model(X4,X2) )
          & ? [X5] :
              ( model(X5,X2)
              & ~ model(X5,X1) ) ) ) ),
    inference(fof_nnf,[status(thm)],[12]) ).

fof(20,plain,
    ! [X6,X7] :
      ( ( ! [X8] : ~ model(X8,X6)
        | ? [X9] :
            ( model(X9,X6)
            & ~ model(X9,X7) )
        | ! [X10] :
            ( ~ model(X10,X7)
            | model(X10,X6) )
        | status(X6,X7,wec) )
      & ( ~ status(X6,X7,wec)
        | ( ? [X11] : model(X11,X6)
          & ! [X12] :
              ( ~ model(X12,X6)
              | model(X12,X7) )
          & ? [X13] :
              ( model(X13,X7)
              & ~ model(X13,X6) ) ) ) ),
    inference(variable_rename,[status(thm)],[19]) ).

fof(21,plain,
    ! [X6,X7] :
      ( ( ! [X8] : ~ model(X8,X6)
        | ( model(esk1_2(X6,X7),X6)
          & ~ model(esk1_2(X6,X7),X7) )
        | ! [X10] :
            ( ~ model(X10,X7)
            | model(X10,X6) )
        | status(X6,X7,wec) )
      & ( ~ status(X6,X7,wec)
        | ( model(esk2_2(X6,X7),X6)
          & ! [X12] :
              ( ~ model(X12,X6)
              | model(X12,X7) )
          & model(esk3_2(X6,X7),X7)
          & ~ model(esk3_2(X6,X7),X6) ) ) ),
    inference(skolemize,[status(esa)],[20]) ).

fof(22,plain,
    ! [X6,X7,X8,X10,X12] :
      ( ( ( ( ~ model(X12,X6)
            | model(X12,X7) )
          & model(esk2_2(X6,X7),X6)
          & model(esk3_2(X6,X7),X7)
          & ~ model(esk3_2(X6,X7),X6) )
        | ~ status(X6,X7,wec) )
      & ( ~ model(X10,X7)
        | model(X10,X6)
        | ~ model(X8,X6)
        | ( model(esk1_2(X6,X7),X6)
          & ~ model(esk1_2(X6,X7),X7) )
        | status(X6,X7,wec) ) ),
    inference(shift_quantors,[status(thm)],[21]) ).

fof(23,plain,
    ! [X6,X7,X8,X10,X12] :
      ( ( ~ model(X12,X6)
        | model(X12,X7)
        | ~ status(X6,X7,wec) )
      & ( model(esk2_2(X6,X7),X6)
        | ~ status(X6,X7,wec) )
      & ( model(esk3_2(X6,X7),X7)
        | ~ status(X6,X7,wec) )
      & ( ~ model(esk3_2(X6,X7),X6)
        | ~ status(X6,X7,wec) )
      & ( model(esk1_2(X6,X7),X6)
        | ~ model(X8,X6)
        | ~ model(X10,X7)
        | model(X10,X6)
        | status(X6,X7,wec) )
      & ( ~ model(esk1_2(X6,X7),X7)
        | ~ model(X8,X6)
        | ~ model(X10,X7)
        | model(X10,X6)
        | status(X6,X7,wec) ) ),
    inference(distribute,[status(thm)],[22]) ).

cnf(24,plain,
    ( status(X1,X2,wec)
    | model(X3,X1)
    | ~ model(X3,X2)
    | ~ model(X4,X1)
    | ~ model(esk1_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[23]) ).

fof(30,plain,
    ? [X5,X6,X7] :
      ( model(X5,X6)
      & ~ model(X5,X7)
      & ? [X8] : model(X8,X7) ),
    inference(variable_rename,[status(thm)],[13]) ).

fof(31,plain,
    ( model(esk4_0,esk5_0)
    & ~ model(esk4_0,esk6_0)
    & model(esk7_0,esk6_0) ),
    inference(skolemize,[status(esa)],[30]) ).

cnf(32,plain,
    model(esk7_0,esk6_0),
    inference(split_conjunct,[status(thm)],[31]) ).

cnf(33,plain,
    ~ model(esk4_0,esk6_0),
    inference(split_conjunct,[status(thm)],[31]) ).

cnf(34,plain,
    model(esk4_0,esk5_0),
    inference(split_conjunct,[status(thm)],[31]) ).

fof(35,plain,
    ? [X8] :
    ! [X9] : model(X9,X8),
    inference(variable_rename,[status(thm)],[3]) ).

fof(36,plain,
    ! [X9] : model(X9,esk8_0),
    inference(skolemize,[status(esa)],[35]) ).

cnf(37,plain,
    model(X1,esk8_0),
    inference(split_conjunct,[status(thm)],[36]) ).

fof(38,plain,
    ! [X8,X9] :
      ( ( ! [X1,X2] :
            ( ~ status(X1,X2,X8)
            | ~ status(X1,X2,X9) )
        | mighta(X8,X9) )
      & ( ~ mighta(X8,X9)
        | ? [X1,X2] :
            ( status(X1,X2,X8)
            & status(X1,X2,X9) ) ) ),
    inference(fof_nnf,[status(thm)],[4]) ).

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

fof(40,plain,
    ! [X10,X11] :
      ( ( ! [X12,X13] :
            ( ~ status(X12,X13,X10)
            | ~ status(X12,X13,X11) )
        | mighta(X10,X11) )
      & ( ~ mighta(X10,X11)
        | ( status(esk9_2(X10,X11),esk10_2(X10,X11),X10)
          & status(esk9_2(X10,X11),esk10_2(X10,X11),X11) ) ) ),
    inference(skolemize,[status(esa)],[39]) ).

fof(41,plain,
    ! [X10,X11,X12,X13] :
      ( ( ~ status(X12,X13,X10)
        | ~ status(X12,X13,X11)
        | mighta(X10,X11) )
      & ( ~ mighta(X10,X11)
        | ( status(esk9_2(X10,X11),esk10_2(X10,X11),X10)
          & status(esk9_2(X10,X11),esk10_2(X10,X11),X11) ) ) ),
    inference(shift_quantors,[status(thm)],[40]) ).

fof(42,plain,
    ! [X10,X11,X12,X13] :
      ( ( ~ status(X12,X13,X10)
        | ~ status(X12,X13,X11)
        | mighta(X10,X11) )
      & ( status(esk9_2(X10,X11),esk10_2(X10,X11),X10)
        | ~ mighta(X10,X11) )
      & ( status(esk9_2(X10,X11),esk10_2(X10,X11),X11)
        | ~ mighta(X10,X11) ) ),
    inference(distribute,[status(thm)],[41]) ).

cnf(45,plain,
    ( mighta(X1,X2)
    | ~ status(X3,X4,X2)
    | ~ status(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[42]) ).

fof(49,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)],[6]) ).

fof(50,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)],[49]) ).

fof(51,plain,
    ! [X4,X5] :
      ( ( ( model(esk12_2(X4,X5),X4)
          & ~ model(esk12_2(X4,X5),X5) )
        | status(X4,X5,thm) )
      & ( ~ status(X4,X5,thm)
        | ! [X7] :
            ( ~ model(X7,X4)
            | model(X7,X5) ) ) ),
    inference(skolemize,[status(esa)],[50]) ).

fof(52,plain,
    ! [X4,X5,X7] :
      ( ( ~ model(X7,X4)
        | model(X7,X5)
        | ~ status(X4,X5,thm) )
      & ( ( model(esk12_2(X4,X5),X4)
          & ~ model(esk12_2(X4,X5),X5) )
        | status(X4,X5,thm) ) ),
    inference(shift_quantors,[status(thm)],[51]) ).

fof(53,plain,
    ! [X4,X5,X7] :
      ( ( ~ model(X7,X4)
        | model(X7,X5)
        | ~ status(X4,X5,thm) )
      & ( model(esk12_2(X4,X5),X4)
        | status(X4,X5,thm) )
      & ( ~ model(esk12_2(X4,X5),X5)
        | status(X4,X5,thm) ) ),
    inference(distribute,[status(thm)],[52]) ).

cnf(54,plain,
    ( status(X1,X2,thm)
    | ~ model(esk12_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[53]) ).

cnf(75,negated_conjecture,
    ~ mighta(wec,thm),
    inference(split_conjunct,[status(thm)],[18]) ).

cnf(77,plain,
    status(X1,esk8_0,thm),
    inference(spm,[status(thm)],[54,37,theory(equality)]) ).

cnf(107,plain,
    ( status(X1,esk8_0,wec)
    | model(X2,X1)
    | ~ model(X3,X1)
    | ~ model(X2,esk8_0) ),
    inference(spm,[status(thm)],[24,37,theory(equality)]) ).

cnf(109,plain,
    ( status(X1,esk8_0,wec)
    | model(X2,X1)
    | ~ model(X3,X1)
    | $false ),
    inference(rw,[status(thm)],[107,37,theory(equality)]) ).

cnf(110,plain,
    ( status(X1,esk8_0,wec)
    | model(X2,X1)
    | ~ model(X3,X1) ),
    inference(cn,[status(thm)],[109,theory(equality)]) ).

cnf(113,plain,
    ( mighta(X1,thm)
    | ~ status(X2,esk8_0,X1) ),
    inference(spm,[status(thm)],[45,77,theory(equality)]) ).

cnf(149,plain,
    ( status(esk5_0,esk8_0,wec)
    | model(X1,esk5_0) ),
    inference(spm,[status(thm)],[110,34,theory(equality)]) ).

cnf(177,plain,
    ( mighta(wec,thm)
    | model(X1,esk5_0) ),
    inference(spm,[status(thm)],[113,149,theory(equality)]) ).

cnf(180,plain,
    model(X1,esk5_0),
    inference(sr,[status(thm)],[177,75,theory(equality)]) ).

cnf(181,plain,
    status(X1,esk5_0,thm),
    inference(spm,[status(thm)],[54,180,theory(equality)]) ).

cnf(184,plain,
    ( status(X1,esk5_0,wec)
    | model(X2,X1)
    | ~ model(X3,X1)
    | ~ model(X2,esk5_0) ),
    inference(spm,[status(thm)],[24,180,theory(equality)]) ).

cnf(191,plain,
    ( status(X1,esk5_0,wec)
    | model(X2,X1)
    | ~ model(X3,X1)
    | $false ),
    inference(rw,[status(thm)],[184,180,theory(equality)]) ).

cnf(192,plain,
    ( status(X1,esk5_0,wec)
    | model(X2,X1)
    | ~ model(X3,X1) ),
    inference(cn,[status(thm)],[191,theory(equality)]) ).

cnf(194,plain,
    ( mighta(X1,thm)
    | ~ status(X2,esk5_0,X1) ),
    inference(spm,[status(thm)],[45,181,theory(equality)]) ).

cnf(210,plain,
    ( status(esk6_0,esk5_0,wec)
    | model(X1,esk6_0) ),
    inference(spm,[status(thm)],[192,32,theory(equality)]) ).

cnf(232,plain,
    ( mighta(wec,thm)
    | model(X1,esk6_0) ),
    inference(spm,[status(thm)],[194,210,theory(equality)]) ).

cnf(235,plain,
    model(X1,esk6_0),
    inference(sr,[status(thm)],[232,75,theory(equality)]) ).

cnf(243,plain,
    $false,
    inference(rw,[status(thm)],[33,235,theory(equality)]) ).

cnf(244,plain,
    $false,
    inference(cn,[status(thm)],[243,theory(equality)]) ).

cnf(245,plain,
    $false,
    244,
    [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/KRS260+1.p
% --creating new selector for [KRS001+0.ax, KRS001+1.ax]
% -running prover on /tmp/tmpy4ngt0/sel_KRS260+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/tmpy4ngt0/sel_KRS260+1.p_1']
% -prover status Theorem
% Problem KRS260+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS260+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS260+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
% 
%------------------------------------------------------------------------------