TSTP Solution File: COL119-2 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : COL119-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art07.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 11:35:22 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 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_conjecture_1,plain,
c_in(c_pair(v_y_h,v_x_h,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL119-2.tptp',unknown),
[] ).
cnf(144683408,plain,
c_in(c_pair(v_y_h,v_x_h,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
fof(cls_conjecture_2,plain,
! [A] :
( ~ c_in(c_pair(v_y_h,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| ~ c_in(c_pair(c_comb_ocomb_oop_a_d_d(c_comb_ocomb_oop_a_d_d(c_comb_ocomb_ok,v_x_h),v_w),A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL119-2.tptp',unknown),
[] ).
cnf(144690408,plain,
( ~ c_in(c_pair(v_y_h,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| ~ c_in(c_pair(c_comb_ocomb_oop_a_d_d(c_comb_ocomb_oop_a_d_d(c_comb_ocomb_ok,v_x_h),v_w),A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)) ),
inference(rewrite,[status(thm)],[cls_conjecture_2]),
[] ).
fof(cls_Comb_Oparcontract_Ointros__2_0,plain,
! [A,B] : c_in(c_pair(c_comb_ocomb_oop_a_d_d(c_comb_ocomb_oop_a_d_d(c_comb_ocomb_ok,A),B),A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL119-2.tptp',unknown),
[] ).
cnf(144699032,plain,
c_in(c_pair(c_comb_ocomb_oop_a_d_d(c_comb_ocomb_oop_a_d_d(c_comb_ocomb_ok,A),B),A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)),
inference(rewrite,[status(thm)],[cls_Comb_Oparcontract_Ointros__2_0]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[144683408,144690408,144699032]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_conjecture_1,plain,(c_in(c_pair(v_y_h,v_x_h,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL119-2.tptp',unknown),[]).
%
% cnf(144683408,plain,(c_in(c_pair(v_y_h,v_x_h,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% fof(cls_conjecture_2,plain,(~c_in(c_pair(v_y_h,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|~c_in(c_pair(c_comb_ocomb_oop_a_d_d(c_comb_ocomb_oop_a_d_d(c_comb_ocomb_ok,v_x_h),v_w),A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL119-2.tptp',unknown),[]).
%
% cnf(144690408,plain,(~c_in(c_pair(v_y_h,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|~c_in(c_pair(c_comb_ocomb_oop_a_d_d(c_comb_ocomb_oop_a_d_d(c_comb_ocomb_ok,v_x_h),v_w),A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
%
% fof(cls_Comb_Oparcontract_Ointros__2_0,plain,(c_in(c_pair(c_comb_ocomb_oop_a_d_d(c_comb_ocomb_oop_a_d_d(c_comb_ocomb_ok,A),B),A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL119-2.tptp',unknown),[]).
%
% cnf(144699032,plain,(c_in(c_pair(c_comb_ocomb_oop_a_d_d(c_comb_ocomb_oop_a_d_d(c_comb_ocomb_ok,A),B),A,tc_comb_ocomb,tc_comb_ocomb),c_comb_oparcontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),inference(rewrite,[status(thm)],[cls_Comb_Oparcontract_Ointros__2_0]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[144683408,144690408,144699032]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------