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SInE---0.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SYN055+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 13:10:43 EST 2010

% Result   : Theorem 0.17s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   20 (   7 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   44 (  20   ~;  12   |;   9   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   16 (   1 sgn   9   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(3,axiom,
    ! [X1] :
      ( big_f(X1)
     => ( ~ big_g(X1)
        & big_r(X1) ) ),
    file('/tmp/tmpc35ihy/sel_SYN055+1.p_1',pel25_2) ).

fof(4,axiom,
    ! [X1] :
      ( big_p(X1)
     => ( big_g(X1)
        & big_f(X1) ) ),
    file('/tmp/tmpc35ihy/sel_SYN055+1.p_1',pel25_3) ).

fof(5,axiom,
    ? [X1] : big_p(X1),
    file('/tmp/tmpc35ihy/sel_SYN055+1.p_1',pel25_1) ).

fof(7,plain,
    ! [X1] :
      ( big_f(X1)
     => ( ~ big_g(X1)
        & big_r(X1) ) ),
    inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).

fof(18,plain,
    ! [X1] :
      ( ~ big_f(X1)
      | ( ~ big_g(X1)
        & big_r(X1) ) ),
    inference(fof_nnf,[status(thm)],[7]) ).

fof(19,plain,
    ! [X2] :
      ( ~ big_f(X2)
      | ( ~ big_g(X2)
        & big_r(X2) ) ),
    inference(variable_rename,[status(thm)],[18]) ).

fof(20,plain,
    ! [X2] :
      ( ( ~ big_g(X2)
        | ~ big_f(X2) )
      & ( big_r(X2)
        | ~ big_f(X2) ) ),
    inference(distribute,[status(thm)],[19]) ).

cnf(22,plain,
    ( ~ big_f(X1)
    | ~ big_g(X1) ),
    inference(split_conjunct,[status(thm)],[20]) ).

fof(23,plain,
    ! [X1] :
      ( ~ big_p(X1)
      | ( big_g(X1)
        & big_f(X1) ) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(24,plain,
    ! [X2] :
      ( ~ big_p(X2)
      | ( big_g(X2)
        & big_f(X2) ) ),
    inference(variable_rename,[status(thm)],[23]) ).

fof(25,plain,
    ! [X2] :
      ( ( big_g(X2)
        | ~ big_p(X2) )
      & ( big_f(X2)
        | ~ big_p(X2) ) ),
    inference(distribute,[status(thm)],[24]) ).

cnf(26,plain,
    ( big_f(X1)
    | ~ big_p(X1) ),
    inference(split_conjunct,[status(thm)],[25]) ).

cnf(27,plain,
    ( big_g(X1)
    | ~ big_p(X1) ),
    inference(split_conjunct,[status(thm)],[25]) ).

fof(28,plain,
    ? [X2] : big_p(X2),
    inference(variable_rename,[status(thm)],[5]) ).

fof(29,plain,
    big_p(esk2_0),
    inference(skolemize,[status(esa)],[28]) ).

cnf(30,plain,
    big_p(esk2_0),
    inference(split_conjunct,[status(thm)],[29]) ).

cnf(35,plain,
    ( ~ big_f(X1)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[22,27,theory(equality)]) ).

cnf(39,plain,
    ~ big_p(X1),
    inference(csr,[status(thm)],[35,26]) ).

cnf(40,plain,
    $false,
    inference(sr,[status(thm)],[30,39,theory(equality)]) ).

cnf(41,plain,
    $false,
    40,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SYN/SYN055+1.p
% --creating new selector for []
% -running prover on /tmp/tmpc35ihy/sel_SYN055+1.p_1 with time limit 29
% -prover status Theorem
% Problem SYN055+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SYN/SYN055+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SYN/SYN055+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
% 
%------------------------------------------------------------------------------