TSTP Solution File: COL124-2 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : COL124-2 : 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 11:35:38 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 5 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 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 : 14 ( 3 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_conjecture_0,plain,
! [A,B,C] :
( c_in(c_pair(A,v_x(B,A,C),tc_comb_ocomb,tc_comb_ocomb),c_comb_ocontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| ~ c_in(c_pair(B,C,tc_comb_ocomb,tc_comb_ocomb),c_comb_ocontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| ~ c_in(c_pair(B,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_ocontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL124-2.tptp',unknown),
[] ).
cnf(148237304,plain,
( c_in(c_pair(A,v_x(B,A,C),tc_comb_ocomb,tc_comb_ocomb),c_comb_ocontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| ~ c_in(c_pair(B,C,tc_comb_ocomb,tc_comb_ocomb),c_comb_ocontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| ~ c_in(c_pair(B,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_ocontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)) ),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
fof(cls_Comb_OI__contract__E_0,plain,
! [A] : ~ c_in(c_pair(c_comb_oi,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_ocontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL124-2.tptp',unknown),
[] ).
cnf(148242144,plain,
~ c_in(c_pair(c_comb_oi,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_ocontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)),
inference(rewrite,[status(thm)],[cls_Comb_OI__contract__E_0]),
[] ).
cnf(156040256,plain,
( ~ c_in(c_pair(A,B,tc_comb_ocomb,tc_comb_ocomb),c_comb_ocontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))
| ~ c_in(c_pair(A,c_comb_oi,tc_comb_ocomb,tc_comb_ocomb),c_comb_ocontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)) ),
inference(resolution,[status(thm)],[148237304,148242144]),
[] ).
fof(cls_Comb_Ocontract_OK_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_ocontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL124-2.tptp',unknown),
[] ).
cnf(148250384,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_ocontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb)),
inference(rewrite,[status(thm)],[cls_Comb_Ocontract_OK_0]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[156040256,148250384]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_conjecture_0,plain,(c_in(c_pair(A,v_x(B,A,C),tc_comb_ocomb,tc_comb_ocomb),c_comb_ocontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|~c_in(c_pair(B,C,tc_comb_ocomb,tc_comb_ocomb),c_comb_ocontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|~c_in(c_pair(B,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_ocontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL124-2.tptp',unknown),[]).
%
% cnf(148237304,plain,(c_in(c_pair(A,v_x(B,A,C),tc_comb_ocomb,tc_comb_ocomb),c_comb_ocontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|~c_in(c_pair(B,C,tc_comb_ocomb,tc_comb_ocomb),c_comb_ocontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|~c_in(c_pair(B,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_ocontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% fof(cls_Comb_OI__contract__E_0,plain,(~c_in(c_pair(c_comb_oi,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_ocontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL124-2.tptp',unknown),[]).
%
% cnf(148242144,plain,(~c_in(c_pair(c_comb_oi,A,tc_comb_ocomb,tc_comb_ocomb),c_comb_ocontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),inference(rewrite,[status(thm)],[cls_Comb_OI__contract__E_0]),[]).
%
% cnf(156040256,plain,(~c_in(c_pair(A,B,tc_comb_ocomb,tc_comb_ocomb),c_comb_ocontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))|~c_in(c_pair(A,c_comb_oi,tc_comb_ocomb,tc_comb_ocomb),c_comb_ocontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),inference(resolution,[status(thm)],[148237304,148242144]),[]).
%
% fof(cls_Comb_Ocontract_OK_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_ocontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL124-2.tptp',unknown),[]).
%
% cnf(148250384,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_ocontract,tc_prod(tc_comb_ocomb,tc_comb_ocomb))),inference(rewrite,[status(thm)],[cls_Comb_Ocontract_OK_0]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[156040256,148250384]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------