TSTP Solution File: SET836-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SET836-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art06.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 15:38:52 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 9 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Set_OsubsetD_0,plain,
! [A,B,C,D] :
( ~ c_in(A,B,C)
| ~ c_lessequals(B,D,tc_set(C))
| c_in(A,D,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET836-2.tptp',unknown),
[] ).
cnf(161734640,plain,
( ~ c_in(A,B,C)
| ~ c_lessequals(B,D,tc_set(C))
| c_in(A,D,C) ),
inference(rewrite,[status(thm)],[cls_Set_OsubsetD_0]),
[] ).
fof(cls_conjecture_1,plain,
c_lessequals(v_z,v_x,tc_set(t_a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET836-2.tptp',unknown),
[] ).
cnf(161739488,plain,
c_lessequals(v_z,v_x,tc_set(t_a)),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
cnf(174814832,plain,
( ~ c_in(A,v_z,t_a)
| c_in(A,v_x,t_a) ),
inference(resolution,[status(thm)],[161734640,161739488]),
[] ).
fof(cls_conjecture_2,plain,
c_in(v_x,v_z,t_a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET836-2.tptp',unknown),
[] ).
cnf(161744320,plain,
c_in(v_x,v_z,t_a),
inference(rewrite,[status(thm)],[cls_conjecture_2]),
[] ).
cnf(174819568,plain,
c_in(v_x,v_x,t_a),
inference(resolution,[status(thm)],[174814832,161744320]),
[] ).
fof(cls_conjecture_3,plain,
~ c_in(v_x,v_x,t_a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET836-2.tptp',unknown),
[] ).
cnf(161748312,plain,
~ c_in(v_x,v_x,t_a),
inference(rewrite,[status(thm)],[cls_conjecture_3]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[174819568,161748312]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Set_OsubsetD_0,plain,(~c_in(A,B,C)|~c_lessequals(B,D,tc_set(C))|c_in(A,D,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET836-2.tptp',unknown),[]).
%
% cnf(161734640,plain,(~c_in(A,B,C)|~c_lessequals(B,D,tc_set(C))|c_in(A,D,C)),inference(rewrite,[status(thm)],[cls_Set_OsubsetD_0]),[]).
%
% fof(cls_conjecture_1,plain,(c_lessequals(v_z,v_x,tc_set(t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET836-2.tptp',unknown),[]).
%
% cnf(161739488,plain,(c_lessequals(v_z,v_x,tc_set(t_a))),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% cnf(174814832,plain,(~c_in(A,v_z,t_a)|c_in(A,v_x,t_a)),inference(resolution,[status(thm)],[161734640,161739488]),[]).
%
% fof(cls_conjecture_2,plain,(c_in(v_x,v_z,t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET836-2.tptp',unknown),[]).
%
% cnf(161744320,plain,(c_in(v_x,v_z,t_a)),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
%
% cnf(174819568,plain,(c_in(v_x,v_x,t_a)),inference(resolution,[status(thm)],[174814832,161744320]),[]).
%
% fof(cls_conjecture_3,plain,(~c_in(v_x,v_x,t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET836-2.tptp',unknown),[]).
%
% cnf(161748312,plain,(~c_in(v_x,v_x,t_a)),inference(rewrite,[status(thm)],[cls_conjecture_3]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[174819568,161748312]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------