TSTP Solution File: LCL646+1.001 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : LCL646+1.001 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art02.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 19:00:10 EST 2010

% Result   : Theorem 0.22s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   14 (   6 unt;   0 def)
%            Number of atoms       :  120 (   0 equ)
%            Maximal formula atoms :   16 (   8 avg)
%            Number of connectives :  185 (  79   ~;  62   |;  44   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   54 (   0 sgn  40   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,conjecture,
    ~ ? [X1] :
        ~ ( ~ ! [X2] :
                ( ~ r1(X1,X2)
                | p6(X2) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | p2(X2) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | p4(X2) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | p2(X2) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | p5(X2) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | p3(X2) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | p2(X2) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | p1(X2) ) ),
    file('/tmp/tmpt90S4t/sel_LCL646+1.001.p_1',main) ).

fof(2,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | p6(X2) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | p2(X2) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | p4(X2) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | p2(X2) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p5(X2) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p3(X2) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p2(X2) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p1(X2) ) ),
    inference(assume_negation,[status(cth)],[1]) ).

fof(3,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | p6(X2) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | p2(X2) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | p4(X2) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | p2(X2) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p5(X2) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p3(X2) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p2(X2) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p1(X2) ) ),
    inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).

fof(4,negated_conjecture,
    ? [X1] :
      ( ! [X2] :
          ( ~ r1(X1,X2)
          | p6(X2) )
      & ! [X2] :
          ( ~ r1(X1,X2)
          | p2(X2) )
      & ! [X2] :
          ( ~ r1(X1,X2)
          | p4(X2) )
      & ! [X2] :
          ( ~ r1(X1,X2)
          | p2(X2) )
      & ? [X2] :
          ( r1(X1,X2)
          & ~ p5(X2) )
      & ? [X2] :
          ( r1(X1,X2)
          & ~ p3(X2) )
      & ? [X2] :
          ( r1(X1,X2)
          & ~ p2(X2) )
      & ? [X2] :
          ( r1(X1,X2)
          & ~ p1(X2) ) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(5,negated_conjecture,
    ? [X3] :
      ( ! [X4] :
          ( ~ r1(X3,X4)
          | p6(X4) )
      & ! [X5] :
          ( ~ r1(X3,X5)
          | p2(X5) )
      & ! [X6] :
          ( ~ r1(X3,X6)
          | p4(X6) )
      & ! [X7] :
          ( ~ r1(X3,X7)
          | p2(X7) )
      & ? [X8] :
          ( r1(X3,X8)
          & ~ p5(X8) )
      & ? [X9] :
          ( r1(X3,X9)
          & ~ p3(X9) )
      & ? [X10] :
          ( r1(X3,X10)
          & ~ p2(X10) )
      & ? [X11] :
          ( r1(X3,X11)
          & ~ p1(X11) ) ),
    inference(variable_rename,[status(thm)],[4]) ).

fof(6,negated_conjecture,
    ( ! [X4] :
        ( ~ r1(esk1_0,X4)
        | p6(X4) )
    & ! [X5] :
        ( ~ r1(esk1_0,X5)
        | p2(X5) )
    & ! [X6] :
        ( ~ r1(esk1_0,X6)
        | p4(X6) )
    & ! [X7] :
        ( ~ r1(esk1_0,X7)
        | p2(X7) )
    & r1(esk1_0,esk2_0)
    & ~ p5(esk2_0)
    & r1(esk1_0,esk3_0)
    & ~ p3(esk3_0)
    & r1(esk1_0,esk4_0)
    & ~ p2(esk4_0)
    & r1(esk1_0,esk5_0)
    & ~ p1(esk5_0) ),
    inference(skolemize,[status(esa)],[5]) ).

fof(7,negated_conjecture,
    ! [X4,X5,X6,X7] :
      ( ( ~ r1(esk1_0,X7)
        | p2(X7) )
      & ( ~ r1(esk1_0,X6)
        | p4(X6) )
      & ( ~ r1(esk1_0,X5)
        | p2(X5) )
      & ( ~ r1(esk1_0,X4)
        | p6(X4) )
      & r1(esk1_0,esk2_0)
      & ~ p5(esk2_0)
      & r1(esk1_0,esk3_0)
      & ~ p3(esk3_0)
      & r1(esk1_0,esk4_0)
      & ~ p2(esk4_0)
      & r1(esk1_0,esk5_0)
      & ~ p1(esk5_0) ),
    inference(shift_quantors,[status(thm)],[6]) ).

cnf(10,negated_conjecture,
    ~ p2(esk4_0),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(11,negated_conjecture,
    r1(esk1_0,esk4_0),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(17,negated_conjecture,
    ( p2(X1)
    | ~ r1(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(20,negated_conjecture,
    ~ r1(esk1_0,esk4_0),
    inference(spm,[status(thm)],[10,17,theory(equality)]) ).

cnf(21,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[20,11,theory(equality)]) ).

cnf(22,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[21,theory(equality)]) ).

cnf(23,negated_conjecture,
    $false,
    22,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LCL/LCL646+1.001.p
% --creating new selector for []
% -running prover on /tmp/tmpt90S4t/sel_LCL646+1.001.p_1 with time limit 29
% -prover status Theorem
% Problem LCL646+1.001.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LCL/LCL646+1.001.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LCL/LCL646+1.001.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
% 
%------------------------------------------------------------------------------