TSTP Solution File: SWV250-2 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV250-2 : 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 16:28:36 EDT 2009
% Result : Unsatisfiable 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 15 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 36 ( 5 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Set_OUn__iff_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/SWV250-2.tptp',unknown),
[] ).
cnf(142164512,plain,
( ~ c_in(A,B,C)
| c_in(A,c_union(B,D,C),C) ),
inference(rewrite,[status(thm)],[cls_Set_OUn__iff_1]),
[] ).
fof(cls_conjecture_2,plain,
c_in(v_x,c_message_oanalz(c_union(c_message_osynth(c_message_oanalz(v_g)),v_h,tc_message_omsg)),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV250-2.tptp',unknown),
[] ).
cnf(142128664,plain,
c_in(v_x,c_message_oanalz(c_union(c_message_osynth(c_message_oanalz(v_g)),v_h,tc_message_omsg)),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_2]),
[] ).
cnf(152595664,plain,
c_in(v_x,c_union(c_message_oanalz(c_union(c_message_osynth(c_message_oanalz(v_g)),v_h,tc_message_omsg)),A,tc_message_omsg),tc_message_omsg),
inference(resolution,[status(thm)],[142164512,142128664]),
[] ).
fof(cls_Message_Oanalz__synth__Un_0,plain,
! [A,B] : $equal(c_union(c_message_oanalz(c_union(A,B,tc_message_omsg)),c_message_osynth(A),tc_message_omsg),c_message_oanalz(c_union(c_message_osynth(A),B,tc_message_omsg))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV250-2.tptp',unknown),
[] ).
cnf(142147064,plain,
$equal(c_union(c_message_oanalz(c_union(A,B,tc_message_omsg)),c_message_osynth(A),tc_message_omsg),c_message_oanalz(c_union(c_message_osynth(A),B,tc_message_omsg))),
inference(rewrite,[status(thm)],[cls_Message_Oanalz__synth__Un_0]),
[] ).
cnf(153012384,plain,
c_in(v_x,c_union(c_union(c_message_oanalz(c_union(c_message_oanalz(v_g),v_h,tc_message_omsg)),c_message_osynth(c_message_oanalz(v_g)),tc_message_omsg),A,tc_message_omsg),tc_message_omsg),
inference(paramodulation,[status(thm)],[152595664,142147064,theory(equality)]),
[] ).
fof(cls_Message_Oanalz__analz__Un_0,plain,
! [A,B] : $equal(c_message_oanalz(c_union(c_message_oanalz(A),B,tc_message_omsg)),c_message_oanalz(c_union(A,B,tc_message_omsg))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV250-2.tptp',unknown),
[] ).
cnf(142142728,plain,
$equal(c_message_oanalz(c_union(c_message_oanalz(A),B,tc_message_omsg)),c_message_oanalz(c_union(A,B,tc_message_omsg))),
inference(rewrite,[status(thm)],[cls_Message_Oanalz__analz__Un_0]),
[] ).
cnf(158863800,plain,
c_in(v_x,c_union(c_union(c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),c_message_osynth(c_message_oanalz(v_g)),tc_message_omsg),A,tc_message_omsg),tc_message_omsg),
inference(paramodulation,[status(thm)],[153012384,142142728,theory(equality)]),
[] ).
fof(cls_Set_OUn__iff_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/SWV250-2.tptp',unknown),
[] ).
cnf(142154448,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_OUn__iff_0]),
[] ).
fof(cls_conjecture_3,plain,
~ c_in(v_x,c_union(c_message_osynth(c_message_oanalz(v_g)),c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),tc_message_omsg),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV250-2.tptp',unknown),
[] ).
cnf(142133904,plain,
~ c_in(v_x,c_union(c_message_osynth(c_message_oanalz(v_g)),c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),tc_message_omsg),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_3]),
[] ).
cnf(152677712,plain,
~ c_in(v_x,c_message_osynth(c_message_oanalz(v_g)),tc_message_omsg),
inference(resolution,[status(thm)],[142164512,142133904]),
[] ).
cnf(153392880,plain,
( ~ c_in(v_x,c_union(A,c_message_osynth(c_message_oanalz(v_g)),tc_message_omsg),tc_message_omsg)
| c_in(v_x,A,tc_message_omsg) ),
inference(resolution,[status(thm)],[142154448,152677712]),
[] ).
fof(cls_Set_OUn__iff_2,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/SWV250-2.tptp',unknown),
[] ).
cnf(142168624,plain,
( ~ c_in(A,B,C)
| c_in(A,c_union(D,B,C),C) ),
inference(rewrite,[status(thm)],[cls_Set_OUn__iff_2]),
[] ).
cnf(152693064,plain,
~ c_in(v_x,c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),tc_message_omsg),
inference(resolution,[status(thm)],[142168624,142133904]),
[] ).
cnf(156255760,plain,
~ c_in(v_x,c_union(c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),c_message_osynth(c_message_oanalz(v_g)),tc_message_omsg),tc_message_omsg),
inference(resolution,[status(thm)],[153392880,152693064]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[158863800,142154448,156255760]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Set_OUn__iff_1,plain,(~c_in(A,B,C)|c_in(A,c_union(B,D,C),C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV250-2.tptp',unknown),[]).
%
% cnf(142164512,plain,(~c_in(A,B,C)|c_in(A,c_union(B,D,C),C)),inference(rewrite,[status(thm)],[cls_Set_OUn__iff_1]),[]).
%
% fof(cls_conjecture_2,plain,(c_in(v_x,c_message_oanalz(c_union(c_message_osynth(c_message_oanalz(v_g)),v_h,tc_message_omsg)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV250-2.tptp',unknown),[]).
%
% cnf(142128664,plain,(c_in(v_x,c_message_oanalz(c_union(c_message_osynth(c_message_oanalz(v_g)),v_h,tc_message_omsg)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
%
% cnf(152595664,plain,(c_in(v_x,c_union(c_message_oanalz(c_union(c_message_osynth(c_message_oanalz(v_g)),v_h,tc_message_omsg)),A,tc_message_omsg),tc_message_omsg)),inference(resolution,[status(thm)],[142164512,142128664]),[]).
%
% fof(cls_Message_Oanalz__synth__Un_0,plain,($equal(c_union(c_message_oanalz(c_union(A,B,tc_message_omsg)),c_message_osynth(A),tc_message_omsg),c_message_oanalz(c_union(c_message_osynth(A),B,tc_message_omsg)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV250-2.tptp',unknown),[]).
%
% cnf(142147064,plain,($equal(c_union(c_message_oanalz(c_union(A,B,tc_message_omsg)),c_message_osynth(A),tc_message_omsg),c_message_oanalz(c_union(c_message_osynth(A),B,tc_message_omsg)))),inference(rewrite,[status(thm)],[cls_Message_Oanalz__synth__Un_0]),[]).
%
% cnf(153012384,plain,(c_in(v_x,c_union(c_union(c_message_oanalz(c_union(c_message_oanalz(v_g),v_h,tc_message_omsg)),c_message_osynth(c_message_oanalz(v_g)),tc_message_omsg),A,tc_message_omsg),tc_message_omsg)),inference(paramodulation,[status(thm)],[152595664,142147064,theory(equality)]),[]).
%
% fof(cls_Message_Oanalz__analz__Un_0,plain,($equal(c_message_oanalz(c_union(c_message_oanalz(A),B,tc_message_omsg)),c_message_oanalz(c_union(A,B,tc_message_omsg)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV250-2.tptp',unknown),[]).
%
% cnf(142142728,plain,($equal(c_message_oanalz(c_union(c_message_oanalz(A),B,tc_message_omsg)),c_message_oanalz(c_union(A,B,tc_message_omsg)))),inference(rewrite,[status(thm)],[cls_Message_Oanalz__analz__Un_0]),[]).
%
% cnf(158863800,plain,(c_in(v_x,c_union(c_union(c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),c_message_osynth(c_message_oanalz(v_g)),tc_message_omsg),A,tc_message_omsg),tc_message_omsg)),inference(paramodulation,[status(thm)],[153012384,142142728,theory(equality)]),[]).
%
% fof(cls_Set_OUn__iff_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/SWV250-2.tptp',unknown),[]).
%
% cnf(142154448,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_OUn__iff_0]),[]).
%
% fof(cls_conjecture_3,plain,(~c_in(v_x,c_union(c_message_osynth(c_message_oanalz(v_g)),c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),tc_message_omsg),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV250-2.tptp',unknown),[]).
%
% cnf(142133904,plain,(~c_in(v_x,c_union(c_message_osynth(c_message_oanalz(v_g)),c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),tc_message_omsg),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_3]),[]).
%
% cnf(152677712,plain,(~c_in(v_x,c_message_osynth(c_message_oanalz(v_g)),tc_message_omsg)),inference(resolution,[status(thm)],[142164512,142133904]),[]).
%
% cnf(153392880,plain,(~c_in(v_x,c_union(A,c_message_osynth(c_message_oanalz(v_g)),tc_message_omsg),tc_message_omsg)|c_in(v_x,A,tc_message_omsg)),inference(resolution,[status(thm)],[142154448,152677712]),[]).
%
% fof(cls_Set_OUn__iff_2,plain,(~c_in(A,B,C)|c_in(A,c_union(D,B,C),C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV250-2.tptp',unknown),[]).
%
% cnf(142168624,plain,(~c_in(A,B,C)|c_in(A,c_union(D,B,C),C)),inference(rewrite,[status(thm)],[cls_Set_OUn__iff_2]),[]).
%
% cnf(152693064,plain,(~c_in(v_x,c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),tc_message_omsg)),inference(resolution,[status(thm)],[142168624,142133904]),[]).
%
% cnf(156255760,plain,(~c_in(v_x,c_union(c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),c_message_osynth(c_message_oanalz(v_g)),tc_message_omsg),tc_message_omsg)),inference(resolution,[status(thm)],[153392880,152693064]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[158863800,142154448,156255760]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------