TSTP Solution File: SWV246-2 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV246-2 : 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 16:28:28 EDT 2009
% Result : Unsatisfiable 7.0s
% Output : Refutation 7.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 11 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 14 ~; 21 |; 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 : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 47 ( 10 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_conjecture_2,plain,
~ c_in(v_y,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/SWV246-2.tptp',unknown),
[] ).
cnf(149917280,plain,
~ c_in(v_y,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_2]),
[] ).
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/SWV246-2.tptp',unknown),
[] ).
cnf(149964496,plain,
( ~ c_in(A,B,C)
| c_in(A,c_union(B,D,C),C) ),
inference(rewrite,[status(thm)],[cls_Set_OUnCI_1]),
[] ).
fof(cls_Message_OMPair__analz_0,plain,
! [A,B,C] :
( ~ c_in(c_message_omsg_ompair(A,B),c_message_oanalz(C),tc_message_omsg)
| c_in(B,c_message_oanalz(C),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV246-2.tptp',unknown),
[] ).
cnf(149922992,plain,
( ~ c_in(c_message_omsg_ompair(A,B),c_message_oanalz(C),tc_message_omsg)
| c_in(B,c_message_oanalz(C),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_OMPair__analz_0]),
[] ).
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/SWV246-2.tptp',unknown),
[] ).
cnf(149950504,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]),
[] ).
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/SWV246-2.tptp',unknown),
[] ).
cnf(149960216,plain,
( ~ c_in(A,B,C)
| c_in(A,c_union(D,B,C),C) ),
inference(rewrite,[status(thm)],[cls_Set_OUnCI_0]),
[] ).
fof(cls_Message_OMPair__synth_0,plain,
! [A,B,C] :
( ~ c_in(c_message_omsg_ompair(A,B),c_message_osynth(C),tc_message_omsg)
| c_in(B,c_message_osynth(C),tc_message_omsg)
| c_in(c_message_omsg_ompair(A,B),C,tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV246-2.tptp',unknown),
[] ).
cnf(149944656,plain,
( ~ c_in(c_message_omsg_ompair(A,B),c_message_osynth(C),tc_message_omsg)
| c_in(B,c_message_osynth(C),tc_message_omsg)
| c_in(c_message_omsg_ompair(A,B),C,tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_OMPair__synth_0]),
[] ).
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/SWV246-2.tptp',unknown),
[] ).
cnf(149971496,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_1,plain,
c_in(c_message_omsg_ompair(v_x,v_y),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/SWV246-2.tptp',unknown),
[] ).
cnf(149908072,plain,
c_in(c_message_omsg_ompair(v_x,v_y),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]),
[] ).
cnf(162290016,plain,
( c_in(c_message_omsg_ompair(v_x,v_y),c_message_osynth(v_g),tc_message_omsg)
| c_in(c_message_omsg_ompair(v_x,v_y),c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),tc_message_omsg) ),
inference(resolution,[status(thm)],[149971496,149908072]),
[] ).
cnf(169664280,plain,
( c_in(v_y,c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),tc_message_omsg)
| c_in(c_message_omsg_ompair(v_x,v_y),c_message_osynth(v_g),tc_message_omsg) ),
inference(resolution,[status(thm)],[149922992,162290016]),
[] ).
cnf(169809944,plain,
( c_in(v_y,c_union(c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),A,tc_message_omsg),tc_message_omsg)
| c_in(c_message_omsg_ompair(v_x,v_y),c_message_osynth(v_g),tc_message_omsg) ),
inference(resolution,[status(thm)],[149964496,169664280]),
[] ).
cnf(220689184,plain,
c_in(c_message_omsg_ompair(v_x,v_y),c_message_osynth(v_g),tc_message_omsg),
inference(resolution,[status(thm)],[149917280,169809944]),
[] ).
cnf(230061640,plain,
( c_in(v_y,c_message_osynth(v_g),tc_message_omsg)
| c_in(c_message_omsg_ompair(v_x,v_y),v_g,tc_message_omsg) ),
inference(resolution,[status(thm)],[149944656,220689184]),
[] ).
cnf(230217560,plain,
( c_in(v_y,c_union(A,c_message_osynth(v_g),tc_message_omsg),tc_message_omsg)
| c_in(c_message_omsg_ompair(v_x,v_y),v_g,tc_message_omsg) ),
inference(resolution,[status(thm)],[149960216,230061640]),
[] ).
cnf(246043872,plain,
c_in(c_message_omsg_ompair(v_x,v_y),v_g,tc_message_omsg),
inference(resolution,[status(thm)],[149917280,230217560]),
[] ).
cnf(246059840,plain,
c_in(c_message_omsg_ompair(v_x,v_y),c_union(v_g,A,tc_message_omsg),tc_message_omsg),
inference(resolution,[status(thm)],[149964496,246043872]),
[] ).
cnf(246160728,plain,
c_in(c_message_omsg_ompair(v_x,v_y),c_message_oanalz(c_union(v_g,A,tc_message_omsg)),tc_message_omsg),
inference(resolution,[status(thm)],[149950504,246059840]),
[] ).
cnf(246530960,plain,
c_in(v_y,c_message_oanalz(c_union(v_g,A,tc_message_omsg)),tc_message_omsg),
inference(resolution,[status(thm)],[149922992,246160728]),
[] ).
cnf(246568440,plain,
c_in(v_y,c_union(c_message_oanalz(c_union(v_g,B,tc_message_omsg)),A,tc_message_omsg),tc_message_omsg),
inference(resolution,[status(thm)],[149964496,246530960]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[149917280,246568440]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 6 seconds
% START OF PROOF SEQUENCE
% fof(cls_conjecture_2,plain,(~c_in(v_y,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/SWV246-2.tptp',unknown),[]).
%
% cnf(149917280,plain,(~c_in(v_y,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_2]),[]).
%
% 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/SWV246-2.tptp',unknown),[]).
%
% cnf(149964496,plain,(~c_in(A,B,C)|c_in(A,c_union(B,D,C),C)),inference(rewrite,[status(thm)],[cls_Set_OUnCI_1]),[]).
%
% fof(cls_Message_OMPair__analz_0,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_oanalz(C),tc_message_omsg)|c_in(B,c_message_oanalz(C),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV246-2.tptp',unknown),[]).
%
% cnf(149922992,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_oanalz(C),tc_message_omsg)|c_in(B,c_message_oanalz(C),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_OMPair__analz_0]),[]).
%
% 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/SWV246-2.tptp',unknown),[]).
%
% cnf(149950504,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]),[]).
%
% 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/SWV246-2.tptp',unknown),[]).
%
% cnf(149960216,plain,(~c_in(A,B,C)|c_in(A,c_union(D,B,C),C)),inference(rewrite,[status(thm)],[cls_Set_OUnCI_0]),[]).
%
% fof(cls_Message_OMPair__synth_0,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_osynth(C),tc_message_omsg)|c_in(B,c_message_osynth(C),tc_message_omsg)|c_in(c_message_omsg_ompair(A,B),C,tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV246-2.tptp',unknown),[]).
%
% cnf(149944656,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_osynth(C),tc_message_omsg)|c_in(B,c_message_osynth(C),tc_message_omsg)|c_in(c_message_omsg_ompair(A,B),C,tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_OMPair__synth_0]),[]).
%
% 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/SWV246-2.tptp',unknown),[]).
%
% cnf(149971496,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_1,plain,(c_in(c_message_omsg_ompair(v_x,v_y),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/SWV246-2.tptp',unknown),[]).
%
% cnf(149908072,plain,(c_in(c_message_omsg_ompair(v_x,v_y),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]),[]).
%
% cnf(162290016,plain,(c_in(c_message_omsg_ompair(v_x,v_y),c_message_osynth(v_g),tc_message_omsg)|c_in(c_message_omsg_ompair(v_x,v_y),c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),tc_message_omsg)),inference(resolution,[status(thm)],[149971496,149908072]),[]).
%
% cnf(169664280,plain,(c_in(v_y,c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),tc_message_omsg)|c_in(c_message_omsg_ompair(v_x,v_y),c_message_osynth(v_g),tc_message_omsg)),inference(resolution,[status(thm)],[149922992,162290016]),[]).
%
% cnf(169809944,plain,(c_in(v_y,c_union(c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),A,tc_message_omsg),tc_message_omsg)|c_in(c_message_omsg_ompair(v_x,v_y),c_message_osynth(v_g),tc_message_omsg)),inference(resolution,[status(thm)],[149964496,169664280]),[]).
%
% cnf(220689184,plain,(c_in(c_message_omsg_ompair(v_x,v_y),c_message_osynth(v_g),tc_message_omsg)),inference(resolution,[status(thm)],[149917280,169809944]),[]).
%
% cnf(230061640,plain,(c_in(v_y,c_message_osynth(v_g),tc_message_omsg)|c_in(c_message_omsg_ompair(v_x,v_y),v_g,tc_message_omsg)),inference(resolution,[status(thm)],[149944656,220689184]),[]).
%
% cnf(230217560,plain,(c_in(v_y,c_union(A,c_message_osynth(v_g),tc_message_omsg),tc_message_omsg)|c_in(c_message_omsg_ompair(v_x,v_y),v_g,tc_message_omsg)),inference(resolution,[status(thm)],[149960216,230061640]),[]).
%
% cnf(246043872,plain,(c_in(c_message_omsg_ompair(v_x,v_y),v_g,tc_message_omsg)),inference(resolution,[status(thm)],[149917280,230217560]),[]).
%
% cnf(246059840,plain,(c_in(c_message_omsg_ompair(v_x,v_y),c_union(v_g,A,tc_message_omsg),tc_message_omsg)),inference(resolution,[status(thm)],[149964496,246043872]),[]).
%
% cnf(246160728,plain,(c_in(c_message_omsg_ompair(v_x,v_y),c_message_oanalz(c_union(v_g,A,tc_message_omsg)),tc_message_omsg)),inference(resolution,[status(thm)],[149950504,246059840]),[]).
%
% cnf(246530960,plain,(c_in(v_y,c_message_oanalz(c_union(v_g,A,tc_message_omsg)),tc_message_omsg)),inference(resolution,[status(thm)],[149922992,246160728]),[]).
%
% cnf(246568440,plain,(c_in(v_y,c_union(c_message_oanalz(c_union(v_g,B,tc_message_omsg)),A,tc_message_omsg),tc_message_omsg)),inference(resolution,[status(thm)],[149964496,246530960]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[149917280,246568440]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------