TSTP Solution File: SWV245-2 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV245-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.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 16:28:25 EDT 2009
% Result : Unsatisfiable 5.8s
% Output : Refutation 5.8s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 13 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 17 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 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 : 48 ( 10 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
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/SWV245-2.tptp',unknown),
[] ).
cnf(149662248,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_1,plain,
! [A,B,C] :
( ~ c_in(c_message_omsg_ompair(A,B),c_message_oanalz(C),tc_message_omsg)
| c_in(A,c_message_oanalz(C),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV245-2.tptp',unknown),
[] ).
cnf(149621544,plain,
( ~ c_in(c_message_omsg_ompair(A,B),c_message_oanalz(C),tc_message_omsg)
| c_in(A,c_message_oanalz(C),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_OMPair__analz_1]),
[] ).
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/SWV245-2.tptp',unknown),
[] ).
cnf(149648256,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_conjecture_2,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/SWV245-2.tptp',unknown),
[] ).
cnf(149611744,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_2]),
[] ).
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/SWV245-2.tptp',unknown),
[] ).
cnf(149657968,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_1,plain,
! [A,B,C] :
( ~ c_in(c_message_omsg_ompair(A,B),c_message_osynth(C),tc_message_omsg)
| c_in(A,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/SWV245-2.tptp',unknown),
[] ).
cnf(149642408,plain,
( ~ c_in(c_message_omsg_ompair(A,B),c_message_osynth(C),tc_message_omsg)
| c_in(A,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_1]),
[] ).
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/SWV245-2.tptp',unknown),
[] ).
cnf(149669248,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/SWV245-2.tptp',unknown),
[] ).
cnf(149606624,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(161998712,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)],[149669248,149606624]),
[] ).
cnf(170095352,plain,
( c_in(v_x,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)],[149621544,161998712]),
[] ).
cnf(170296800,plain,
( c_in(v_x,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)],[149662248,170095352]),
[] ).
cnf(219904696,plain,
c_in(c_message_omsg_ompair(v_x,v_y),c_message_osynth(v_g),tc_message_omsg),
inference(resolution,[status(thm)],[149611744,170296800]),
[] ).
cnf(219935456,plain,
( c_in(v_x,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)],[149642408,219904696]),
[] ).
cnf(220099320,plain,
( c_in(v_x,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)],[149657968,219935456]),
[] ).
cnf(202198304,plain,
c_in(c_message_omsg_ompair(v_x,v_y),v_g,tc_message_omsg),
inference(resolution,[status(thm)],[149611744,220099320]),
[] ).
cnf(202218360,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)],[149662248,202198304]),
[] ).
cnf(240298256,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)],[149648256,202218360]),
[] ).
cnf(242527200,plain,
c_in(v_x,c_message_oanalz(c_union(v_g,A,tc_message_omsg)),tc_message_omsg),
inference(resolution,[status(thm)],[149621544,240298256]),
[] ).
cnf(242559080,plain,
c_in(v_x,c_union(c_message_oanalz(c_union(v_g,B,tc_message_omsg)),A,tc_message_omsg),tc_message_omsg),
inference(resolution,[status(thm)],[149662248,242527200]),
[] ).
cnf(160135816,plain,
( ~ c_in(v_x,c_union(A,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),tc_message_omsg)
| c_in(v_x,A,tc_message_omsg) ),
inference(resolution,[status(thm)],[149669248,149611744]),
[] ).
cnf(160106336,plain,
~ c_in(v_x,c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),tc_message_omsg),
inference(resolution,[status(thm)],[149662248,149611744]),
[] ).
cnf(160282688,plain,
~ c_in(v_x,c_union(c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),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),tc_message_omsg),
inference(resolution,[status(thm)],[160135816,160106336]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[242559080,160282688,149657968]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 6 seconds
% START OF PROOF SEQUENCE
% 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/SWV245-2.tptp',unknown),[]).
%
% cnf(149662248,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_1,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_oanalz(C),tc_message_omsg)|c_in(A,c_message_oanalz(C),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV245-2.tptp',unknown),[]).
%
% cnf(149621544,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_oanalz(C),tc_message_omsg)|c_in(A,c_message_oanalz(C),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_OMPair__analz_1]),[]).
%
% 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/SWV245-2.tptp',unknown),[]).
%
% cnf(149648256,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_conjecture_2,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/SWV245-2.tptp',unknown),[]).
%
% cnf(149611744,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_2]),[]).
%
% 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/SWV245-2.tptp',unknown),[]).
%
% cnf(149657968,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_1,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_osynth(C),tc_message_omsg)|c_in(A,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/SWV245-2.tptp',unknown),[]).
%
% cnf(149642408,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_osynth(C),tc_message_omsg)|c_in(A,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_1]),[]).
%
% 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/SWV245-2.tptp',unknown),[]).
%
% cnf(149669248,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/SWV245-2.tptp',unknown),[]).
%
% cnf(149606624,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(161998712,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)],[149669248,149606624]),[]).
%
% cnf(170095352,plain,(c_in(v_x,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)],[149621544,161998712]),[]).
%
% cnf(170296800,plain,(c_in(v_x,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)],[149662248,170095352]),[]).
%
% cnf(219904696,plain,(c_in(c_message_omsg_ompair(v_x,v_y),c_message_osynth(v_g),tc_message_omsg)),inference(resolution,[status(thm)],[149611744,170296800]),[]).
%
% cnf(219935456,plain,(c_in(v_x,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)],[149642408,219904696]),[]).
%
% cnf(220099320,plain,(c_in(v_x,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)],[149657968,219935456]),[]).
%
% cnf(202198304,plain,(c_in(c_message_omsg_ompair(v_x,v_y),v_g,tc_message_omsg)),inference(resolution,[status(thm)],[149611744,220099320]),[]).
%
% cnf(202218360,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)],[149662248,202198304]),[]).
%
% cnf(240298256,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)],[149648256,202218360]),[]).
%
% cnf(242527200,plain,(c_in(v_x,c_message_oanalz(c_union(v_g,A,tc_message_omsg)),tc_message_omsg)),inference(resolution,[status(thm)],[149621544,240298256]),[]).
%
% cnf(242559080,plain,(c_in(v_x,c_union(c_message_oanalz(c_union(v_g,B,tc_message_omsg)),A,tc_message_omsg),tc_message_omsg)),inference(resolution,[status(thm)],[149662248,242527200]),[]).
%
% cnf(160135816,plain,(~c_in(v_x,c_union(A,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),tc_message_omsg)|c_in(v_x,A,tc_message_omsg)),inference(resolution,[status(thm)],[149669248,149611744]),[]).
%
% cnf(160106336,plain,(~c_in(v_x,c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),tc_message_omsg)),inference(resolution,[status(thm)],[149662248,149611744]),[]).
%
% cnf(160282688,plain,(~c_in(v_x,c_union(c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),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),tc_message_omsg)),inference(resolution,[status(thm)],[160135816,160106336]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[242559080,160282688,149657968]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------