TSTP Solution File: SWV272-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV272-2 : 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 16:29:40 EDT 2009
% Result : Unsatisfiable 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 16 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 43 ( 6 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_conjecture_2,plain,
~ c_in(v_x,c_union(c_message_oparts(v_h),c_message_osynth(v_h),tc_message_omsg),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV272-2.tptp',unknown),
[] ).
cnf(146742584,plain,
~ c_in(v_x,c_union(c_message_oparts(v_h),c_message_osynth(v_h),tc_message_omsg),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_2]),
[] ).
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/SWV272-2.tptp',unknown),
[] ).
cnf(146801240,plain,
( ~ c_in(A,B,C)
| c_in(A,c_union(D,B,C),C) ),
inference(rewrite,[status(thm)],[cls_Set_OUn__iff_2]),
[] ).
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/SWV272-2.tptp',unknown),
[] ).
cnf(146797152,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_Message_Oparts_OBody_0,plain,
! [A,B,C] :
( ~ c_in(c_message_omsg_ocrypt(A,B),c_message_oparts(C),tc_message_omsg)
| c_in(B,c_message_oparts(C),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV272-2.tptp',unknown),
[] ).
cnf(146773960,plain,
( ~ c_in(c_message_omsg_ocrypt(A,B),c_message_oparts(C),tc_message_omsg)
| c_in(B,c_message_oparts(C),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_Oparts_OBody_0]),
[] ).
fof(cls_Message_Oparts_OInj_0,plain,
! [A,B] :
( ~ c_in(A,B,tc_message_omsg)
| c_in(A,c_message_oparts(B),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV272-2.tptp',unknown),
[] ).
cnf(146779856,plain,
( ~ c_in(A,B,tc_message_omsg)
| c_in(A,c_message_oparts(B),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_Oparts_OInj_0]),
[] ).
fof(cls_Message_OCrypt__synth_1,plain,
! [A,B,C] :
( ~ c_in(c_message_omsg_ocrypt(A,B),c_message_osynth(C),tc_message_omsg)
| c_in(B,c_message_osynth(C),tc_message_omsg)
| c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV272-2.tptp',unknown),
[] ).
cnf(146764000,plain,
( ~ c_in(c_message_omsg_ocrypt(A,B),c_message_osynth(C),tc_message_omsg)
| c_in(B,c_message_osynth(C),tc_message_omsg)
| c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_OCrypt__synth_1]),
[] ).
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/SWV272-2.tptp',unknown),
[] ).
cnf(146791256,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_1,plain,
c_in(c_message_omsg_ocrypt(v_k,v_x),c_union(c_message_oparts(v_h),c_message_osynth(v_h),tc_message_omsg),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV272-2.tptp',unknown),
[] ).
cnf(146737560,plain,
c_in(c_message_omsg_ocrypt(v_k,v_x),c_union(c_message_oparts(v_h),c_message_osynth(v_h),tc_message_omsg),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
cnf(157427720,plain,
( c_in(c_message_omsg_ocrypt(v_k,v_x),c_message_osynth(v_h),tc_message_omsg)
| c_in(c_message_omsg_ocrypt(v_k,v_x),c_message_oparts(v_h),tc_message_omsg) ),
inference(resolution,[status(thm)],[146791256,146737560]),
[] ).
cnf(157216120,plain,
~ c_in(v_x,c_message_oparts(v_h),tc_message_omsg),
inference(resolution,[status(thm)],[146797152,146742584]),
[] ).
cnf(157697096,plain,
~ c_in(c_message_omsg_ocrypt(A,v_x),c_message_oparts(v_h),tc_message_omsg),
inference(resolution,[status(thm)],[146773960,157216120]),
[] ).
cnf(161064832,plain,
c_in(c_message_omsg_ocrypt(v_k,v_x),c_message_osynth(v_h),tc_message_omsg),
inference(resolution,[status(thm)],[157427720,157697096]),
[] ).
cnf(165528960,plain,
( c_in(v_x,c_message_osynth(v_h),tc_message_omsg)
| c_in(c_message_omsg_ocrypt(v_k,v_x),v_h,tc_message_omsg) ),
inference(resolution,[status(thm)],[146764000,161064832]),
[] ).
cnf(165687224,plain,
( c_in(c_message_omsg_ocrypt(v_k,v_x),c_message_oparts(v_h),tc_message_omsg)
| c_in(v_x,c_message_osynth(v_h),tc_message_omsg) ),
inference(resolution,[status(thm)],[146779856,165528960]),
[] ).
cnf(162335760,plain,
( c_in(v_x,c_message_oparts(v_h),tc_message_omsg)
| c_in(v_x,c_message_osynth(v_h),tc_message_omsg) ),
inference(resolution,[status(thm)],[146773960,165687224]),
[] ).
cnf(166297360,plain,
( c_in(v_x,c_union(c_message_oparts(v_h),A,tc_message_omsg),tc_message_omsg)
| c_in(v_x,c_message_osynth(v_h),tc_message_omsg) ),
inference(resolution,[status(thm)],[146797152,162335760]),
[] ).
cnf(167262032,plain,
c_in(v_x,c_message_osynth(v_h),tc_message_omsg),
inference(resolution,[status(thm)],[146742584,166297360]),
[] ).
cnf(167288856,plain,
c_in(v_x,c_union(A,c_message_osynth(v_h),tc_message_omsg),tc_message_omsg),
inference(resolution,[status(thm)],[146801240,167262032]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[146742584,167288856]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_conjecture_2,plain,(~c_in(v_x,c_union(c_message_oparts(v_h),c_message_osynth(v_h),tc_message_omsg),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV272-2.tptp',unknown),[]).
%
% cnf(146742584,plain,(~c_in(v_x,c_union(c_message_oparts(v_h),c_message_osynth(v_h),tc_message_omsg),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
%
% 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/SWV272-2.tptp',unknown),[]).
%
% cnf(146801240,plain,(~c_in(A,B,C)|c_in(A,c_union(D,B,C),C)),inference(rewrite,[status(thm)],[cls_Set_OUn__iff_2]),[]).
%
% 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/SWV272-2.tptp',unknown),[]).
%
% cnf(146797152,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_Message_Oparts_OBody_0,plain,(~c_in(c_message_omsg_ocrypt(A,B),c_message_oparts(C),tc_message_omsg)|c_in(B,c_message_oparts(C),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV272-2.tptp',unknown),[]).
%
% cnf(146773960,plain,(~c_in(c_message_omsg_ocrypt(A,B),c_message_oparts(C),tc_message_omsg)|c_in(B,c_message_oparts(C),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_Oparts_OBody_0]),[]).
%
% fof(cls_Message_Oparts_OInj_0,plain,(~c_in(A,B,tc_message_omsg)|c_in(A,c_message_oparts(B),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV272-2.tptp',unknown),[]).
%
% cnf(146779856,plain,(~c_in(A,B,tc_message_omsg)|c_in(A,c_message_oparts(B),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_Oparts_OInj_0]),[]).
%
% fof(cls_Message_OCrypt__synth_1,plain,(~c_in(c_message_omsg_ocrypt(A,B),c_message_osynth(C),tc_message_omsg)|c_in(B,c_message_osynth(C),tc_message_omsg)|c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV272-2.tptp',unknown),[]).
%
% cnf(146764000,plain,(~c_in(c_message_omsg_ocrypt(A,B),c_message_osynth(C),tc_message_omsg)|c_in(B,c_message_osynth(C),tc_message_omsg)|c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_OCrypt__synth_1]),[]).
%
% 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/SWV272-2.tptp',unknown),[]).
%
% cnf(146791256,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_1,plain,(c_in(c_message_omsg_ocrypt(v_k,v_x),c_union(c_message_oparts(v_h),c_message_osynth(v_h),tc_message_omsg),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV272-2.tptp',unknown),[]).
%
% cnf(146737560,plain,(c_in(c_message_omsg_ocrypt(v_k,v_x),c_union(c_message_oparts(v_h),c_message_osynth(v_h),tc_message_omsg),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% cnf(157427720,plain,(c_in(c_message_omsg_ocrypt(v_k,v_x),c_message_osynth(v_h),tc_message_omsg)|c_in(c_message_omsg_ocrypt(v_k,v_x),c_message_oparts(v_h),tc_message_omsg)),inference(resolution,[status(thm)],[146791256,146737560]),[]).
%
% cnf(157216120,plain,(~c_in(v_x,c_message_oparts(v_h),tc_message_omsg)),inference(resolution,[status(thm)],[146797152,146742584]),[]).
%
% cnf(157697096,plain,(~c_in(c_message_omsg_ocrypt(A,v_x),c_message_oparts(v_h),tc_message_omsg)),inference(resolution,[status(thm)],[146773960,157216120]),[]).
%
% cnf(161064832,plain,(c_in(c_message_omsg_ocrypt(v_k,v_x),c_message_osynth(v_h),tc_message_omsg)),inference(resolution,[status(thm)],[157427720,157697096]),[]).
%
% cnf(165528960,plain,(c_in(v_x,c_message_osynth(v_h),tc_message_omsg)|c_in(c_message_omsg_ocrypt(v_k,v_x),v_h,tc_message_omsg)),inference(resolution,[status(thm)],[146764000,161064832]),[]).
%
% cnf(165687224,plain,(c_in(c_message_omsg_ocrypt(v_k,v_x),c_message_oparts(v_h),tc_message_omsg)|c_in(v_x,c_message_osynth(v_h),tc_message_omsg)),inference(resolution,[status(thm)],[146779856,165528960]),[]).
%
% cnf(162335760,plain,(c_in(v_x,c_message_oparts(v_h),tc_message_omsg)|c_in(v_x,c_message_osynth(v_h),tc_message_omsg)),inference(resolution,[status(thm)],[146773960,165687224]),[]).
%
% cnf(166297360,plain,(c_in(v_x,c_union(c_message_oparts(v_h),A,tc_message_omsg),tc_message_omsg)|c_in(v_x,c_message_osynth(v_h),tc_message_omsg)),inference(resolution,[status(thm)],[146797152,162335760]),[]).
%
% cnf(167262032,plain,(c_in(v_x,c_message_osynth(v_h),tc_message_omsg)),inference(resolution,[status(thm)],[146742584,166297360]),[]).
%
% cnf(167288856,plain,(c_in(v_x,c_union(A,c_message_osynth(v_h),tc_message_omsg),tc_message_omsg)),inference(resolution,[status(thm)],[146801240,167262032]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[146742584,167288856]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------