↑ Up

SInE---0.4.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SYN412+1 : TPTP v5.0.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art05.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 : Sun Dec 26 13:20:42 EST 2010

% Result   : Theorem 0.24s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   15 (   3 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   36 (  18   ~;  12   |;   3   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   19 (   8 sgn   6   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,conjecture,
    ~ ? [X1] :
      ! [X2] :
        ( f(X1,X2)
      <=> ~ f(X1,X1) ),
    file('/tmp/tmpUaZpiP/sel_SYN412+1.p_1',kalish255) ).

fof(2,negated_conjecture,
    ~ ~ ? [X1] :
        ! [X2] :
          ( f(X1,X2)
        <=> ~ f(X1,X1) ),
    inference(assume_negation,[status(cth)],[1]) ).

fof(3,negated_conjecture,
    ~ ~ ? [X1] :
        ! [X2] :
          ( f(X1,X2)
        <=> ~ f(X1,X1) ),
    inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).

fof(4,negated_conjecture,
    ? [X1] :
    ! [X2] :
      ( ( ~ f(X1,X2)
        | ~ f(X1,X1) )
      & ( f(X1,X1)
        | f(X1,X2) ) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(5,negated_conjecture,
    ? [X3] :
    ! [X4] :
      ( ( ~ f(X3,X4)
        | ~ f(X3,X3) )
      & ( f(X3,X3)
        | f(X3,X4) ) ),
    inference(variable_rename,[status(thm)],[4]) ).

fof(6,negated_conjecture,
    ! [X4] :
      ( ( ~ f(esk1_0,X4)
        | ~ f(esk1_0,esk1_0) )
      & ( f(esk1_0,esk1_0)
        | f(esk1_0,X4) ) ),
    inference(skolemize,[status(esa)],[5]) ).

cnf(7,negated_conjecture,
    ( f(esk1_0,X1)
    | f(esk1_0,esk1_0) ),
    inference(split_conjunct,[status(thm)],[6]) ).

cnf(8,negated_conjecture,
    ( ~ f(esk1_0,esk1_0)
    | ~ f(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[6]) ).

cnf(11,negated_conjecture,
    ( f(esk1_0,X2)
    | ~ f(esk1_0,X1) ),
    inference(spm,[status(thm)],[8,7,theory(equality)]) ).

cnf(12,negated_conjecture,
    ( f(esk1_0,X1)
    | f(esk1_0,X2) ),
    inference(spm,[status(thm)],[11,7,theory(equality)]) ).

cnf(14,negated_conjecture,
    f(esk1_0,X1),
    inference(csr,[status(thm)],[12,11]) ).

cnf(18,negated_conjecture,
    ( $false
    | ~ f(esk1_0,X1) ),
    inference(rw,[status(thm)],[8,14,theory(equality)]) ).

cnf(19,negated_conjecture,
    ( $false
    | $false ),
    inference(rw,[status(thm)],[18,14,theory(equality)]) ).

cnf(20,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[19,theory(equality)]) ).

cnf(21,negated_conjecture,
    $false,
    20,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SYN/SYN412+1.p
% --creating new selector for []
% -running prover on /tmp/tmpUaZpiP/sel_SYN412+1.p_1 with time limit 29
% -prover status Theorem
% Problem SYN412+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SYN/SYN412+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SYN/SYN412+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
% 
%------------------------------------------------------------------------------