TSTP Solution File: SWV244-2 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV244-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art04.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 16:28:23 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 14 ~; 11 |; 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 : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 28 ( 2 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Set_OUnE_0,plain,
! [A,B,C,D] :
( ~ c_in(A,c_union(B,C,D),D)
| c_in(A,C,D)
| c_in(A,B,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV244-2.tptp',unknown),
[] ).
cnf(152239776,plain,
( ~ c_in(A,c_union(B,C,D),D)
| c_in(A,C,D)
| c_in(A,B,D) ),
inference(rewrite,[status(thm)],[cls_Set_OUnE_0]),
[] ).
fof(cls_conjecture_0,plain,
c_in(v_x,c_union(c_message_osynth(v_g),v_h,tc_message_omsg),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV244-2.tptp',unknown),
[] ).
cnf(152207856,plain,
c_in(v_x,c_union(c_message_osynth(v_g),v_h,tc_message_omsg),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
cnf(162700728,plain,
( c_in(v_x,v_h,tc_message_omsg)
| c_in(v_x,c_message_osynth(v_g),tc_message_omsg) ),
inference(resolution,[status(thm)],[152239776,152207856]),
[] ).
fof(cls_conjecture_1,plain,
~ c_in(v_x,c_union(c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),c_message_osynth(v_g),tc_message_omsg),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV244-2.tptp',unknown),
[] ).
cnf(152212968,plain,
~ c_in(v_x,c_union(c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),c_message_osynth(v_g),tc_message_omsg),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
fof(cls_Set_OUnCI_0,plain,
! [A,B,C,D] :
( ~ c_in(A,B,C)
| c_in(A,c_union(D,B,C),C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV244-2.tptp',unknown),
[] ).
cnf(152228528,plain,
( ~ c_in(A,B,C)
| c_in(A,c_union(D,B,C),C) ),
inference(rewrite,[status(thm)],[cls_Set_OUnCI_0]),
[] ).
cnf(163115584,plain,
~ c_in(v_x,c_message_osynth(v_g),tc_message_omsg),
inference(resolution,[status(thm)],[152212968,152228528]),
[] ).
cnf(164287560,plain,
c_in(v_x,v_h,tc_message_omsg),
inference(resolution,[status(thm)],[162700728,163115584]),
[] ).
fof(cls_Set_OUnCI_1,plain,
! [A,B,C,D] :
( ~ c_in(A,B,C)
| c_in(A,c_union(B,D,C),C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV244-2.tptp',unknown),
[] ).
cnf(152232776,plain,
( ~ c_in(A,B,C)
| c_in(A,c_union(B,D,C),C) ),
inference(rewrite,[status(thm)],[cls_Set_OUnCI_1]),
[] ).
cnf(163134032,plain,
~ c_in(v_x,c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),tc_message_omsg),
inference(resolution,[status(thm)],[152212968,152232776]),
[] ).
fof(cls_Message_Oanalz_OInj_0,plain,
! [A,B] :
( ~ c_in(A,B,tc_message_omsg)
| c_in(A,c_message_oanalz(B),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV244-2.tptp',unknown),
[] ).
cnf(152218624,plain,
( ~ c_in(A,B,tc_message_omsg)
| c_in(A,c_message_oanalz(B),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_Oanalz_OInj_0]),
[] ).
cnf(163156504,plain,
~ c_in(v_x,c_union(v_g,v_h,tc_message_omsg),tc_message_omsg),
inference(resolution,[status(thm)],[163134032,152218624]),
[] ).
cnf(163174072,plain,
~ c_in(v_x,v_h,tc_message_omsg),
inference(resolution,[status(thm)],[163156504,152228528]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[164287560,163174072]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Set_OUnE_0,plain,(~c_in(A,c_union(B,C,D),D)|c_in(A,C,D)|c_in(A,B,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV244-2.tptp',unknown),[]).
%
% cnf(152239776,plain,(~c_in(A,c_union(B,C,D),D)|c_in(A,C,D)|c_in(A,B,D)),inference(rewrite,[status(thm)],[cls_Set_OUnE_0]),[]).
%
% fof(cls_conjecture_0,plain,(c_in(v_x,c_union(c_message_osynth(v_g),v_h,tc_message_omsg),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV244-2.tptp',unknown),[]).
%
% cnf(152207856,plain,(c_in(v_x,c_union(c_message_osynth(v_g),v_h,tc_message_omsg),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% cnf(162700728,plain,(c_in(v_x,v_h,tc_message_omsg)|c_in(v_x,c_message_osynth(v_g),tc_message_omsg)),inference(resolution,[status(thm)],[152239776,152207856]),[]).
%
% fof(cls_conjecture_1,plain,(~c_in(v_x,c_union(c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),c_message_osynth(v_g),tc_message_omsg),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV244-2.tptp',unknown),[]).
%
% cnf(152212968,plain,(~c_in(v_x,c_union(c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),c_message_osynth(v_g),tc_message_omsg),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% fof(cls_Set_OUnCI_0,plain,(~c_in(A,B,C)|c_in(A,c_union(D,B,C),C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV244-2.tptp',unknown),[]).
%
% cnf(152228528,plain,(~c_in(A,B,C)|c_in(A,c_union(D,B,C),C)),inference(rewrite,[status(thm)],[cls_Set_OUnCI_0]),[]).
%
% cnf(163115584,plain,(~c_in(v_x,c_message_osynth(v_g),tc_message_omsg)),inference(resolution,[status(thm)],[152212968,152228528]),[]).
%
% cnf(164287560,plain,(c_in(v_x,v_h,tc_message_omsg)),inference(resolution,[status(thm)],[162700728,163115584]),[]).
%
% fof(cls_Set_OUnCI_1,plain,(~c_in(A,B,C)|c_in(A,c_union(B,D,C),C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV244-2.tptp',unknown),[]).
%
% cnf(152232776,plain,(~c_in(A,B,C)|c_in(A,c_union(B,D,C),C)),inference(rewrite,[status(thm)],[cls_Set_OUnCI_1]),[]).
%
% cnf(163134032,plain,(~c_in(v_x,c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),tc_message_omsg)),inference(resolution,[status(thm)],[152212968,152232776]),[]).
%
% fof(cls_Message_Oanalz_OInj_0,plain,(~c_in(A,B,tc_message_omsg)|c_in(A,c_message_oanalz(B),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV244-2.tptp',unknown),[]).
%
% cnf(152218624,plain,(~c_in(A,B,tc_message_omsg)|c_in(A,c_message_oanalz(B),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_Oanalz_OInj_0]),[]).
%
% cnf(163156504,plain,(~c_in(v_x,c_union(v_g,v_h,tc_message_omsg),tc_message_omsg)),inference(resolution,[status(thm)],[163134032,152218624]),[]).
%
% cnf(163174072,plain,(~c_in(v_x,v_h,tc_message_omsg)),inference(resolution,[status(thm)],[163156504,152228528]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[164287560,163174072]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------