%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : COL103-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art08.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory   : 1003MB
% OS       : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May  6 11:34:38 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    5 (   5 unt;   0 def)
%            Number of atoms       :    5 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-4 aty)
%            Number of variables   :    6 (   1 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0,plain,
    ! [A,B,C] : c_in(c_pair(A,A,B,B),c_transitive__closure_ortrancl(C,B),tc_prod(B,B)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL103-2.tptp',unknown),
    [] ).

cnf(169858440,plain,
    c_in(c_pair(A,A,B,B),c_transitive__closure_ortrancl(C,B),tc_prod(B,B)),
    inference(rewrite,[status(thm)],[cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0]),
    [] ).

fof(cls_conjecture_0,plain,
    ~ c_in(c_pair(c_comb_ocomb_oop_a_d_d(v_z,v_x),c_comb_ocomb_oop_a_d_d(v_z,v_x),tc_comb_ocomb,tc_comb_ocomb),c_transitive__closure_ortrancl(c_comb_ocontract,tc_comb_ocomb),tc_prod(tc_comb_ocomb,tc_comb_ocomb)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL103-2.tptp',unknown),
    [] ).

cnf(169853280,plain,
    ~ c_in(c_pair(c_comb_ocomb_oop_a_d_d(v_z,v_x),c_comb_ocomb_oop_a_d_d(v_z,v_x),tc_comb_ocomb,tc_comb_ocomb),c_transitive__closure_ortrancl(c_comb_ocontract,tc_comb_ocomb),tc_prod(tc_comb_ocomb,tc_comb_ocomb)),
    inference(rewrite,[status(thm)],[cls_conjecture_0]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[169858440,169853280]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0,plain,(c_in(c_pair(A,A,B,B),c_transitive__closure_ortrancl(C,B),tc_prod(B,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL103-2.tptp',unknown),[]).
% 
% cnf(169858440,plain,(c_in(c_pair(A,A,B,B),c_transitive__closure_ortrancl(C,B),tc_prod(B,B))),inference(rewrite,[status(thm)],[cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0]),[]).
% 
% fof(cls_conjecture_0,plain,(~c_in(c_pair(c_comb_ocomb_oop_a_d_d(v_z,v_x),c_comb_ocomb_oop_a_d_d(v_z,v_x),tc_comb_ocomb,tc_comb_ocomb),c_transitive__closure_ortrancl(c_comb_ocontract,tc_comb_ocomb),tc_prod(tc_comb_ocomb,tc_comb_ocomb))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL103-2.tptp',unknown),[]).
% 
% cnf(169853280,plain,(~c_in(c_pair(c_comb_ocomb_oop_a_d_d(v_z,v_x),c_comb_ocomb_oop_a_d_d(v_z,v_x),tc_comb_ocomb,tc_comb_ocomb),c_transitive__closure_ortrancl(c_comb_ocontract,tc_comb_ocomb),tc_prod(tc_comb_ocomb,tc_comb_ocomb))),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[169858440,169853280]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------