TSTP Solution File: LCL443-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL443-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.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 13:50:26 EDT 2009
% Result : Unsatisfiable 12.5s
% Output : Refutation 12.5s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 15 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 45 ( 5 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_conjecture_2,plain,
~ c_in(c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(v_p,v_q,t_a),c_proplog_opl_ofalse,t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL443-2.tptp',unknown),
[] ).
cnf(158139488,plain,
~ c_in(c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(v_p,v_q,t_a),c_proplog_opl_ofalse,t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a)),
inference(rewrite,[status(thm)],[cls_conjecture_2]),
[] ).
fof(cls_PropLog_Odeduction_0,plain,
! [A,B,C,D] :
( ~ c_in(A,c_proplog_othms(c_insert(B,C,tc_proplog_opl(D)),D),tc_proplog_opl(D))
| c_in(c_proplog_opl_oop_a_n_62(B,A,D),c_proplog_othms(C,D),tc_proplog_opl(D)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL443-2.tptp',unknown),
[] ).
cnf(158103336,plain,
( ~ c_in(A,c_proplog_othms(c_insert(B,C,tc_proplog_opl(D)),D),tc_proplog_opl(D))
| c_in(c_proplog_opl_oop_a_n_62(B,A,D),c_proplog_othms(C,D),tc_proplog_opl(D)) ),
inference(rewrite,[status(thm)],[cls_PropLog_Odeduction_0]),
[] ).
fof(cls_PropLog_Othms_OMP_0,plain,
! [A,B,C,D] :
( ~ c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))
| ~ c_in(c_proplog_opl_oop_a_n_62(A,D,C),c_proplog_othms(B,C),tc_proplog_opl(C))
| c_in(D,c_proplog_othms(B,C),tc_proplog_opl(C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL443-2.tptp',unknown),
[] ).
cnf(158097256,plain,
( ~ c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))
| ~ c_in(c_proplog_opl_oop_a_n_62(A,D,C),c_proplog_othms(B,C),tc_proplog_opl(C))
| c_in(D,c_proplog_othms(B,C),tc_proplog_opl(C)) ),
inference(rewrite,[status(thm)],[cls_PropLog_Othms_OMP_0]),
[] ).
fof(cls_PropLog_Oweaken__left__insert_0,plain,
! [A,B,C,D] :
( ~ c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))
| c_in(A,c_proplog_othms(c_insert(D,B,tc_proplog_opl(C)),C),tc_proplog_opl(C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL443-2.tptp',unknown),
[] ).
cnf(158118632,plain,
( ~ c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))
| c_in(A,c_proplog_othms(c_insert(D,B,tc_proplog_opl(C)),C),tc_proplog_opl(C)) ),
inference(rewrite,[status(thm)],[cls_PropLog_Oweaken__left__insert_0]),
[] ).
fof(cls_conjecture_1,plain,
c_in(c_proplog_opl_oop_a_n_62(v_q,c_proplog_opl_ofalse,t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL443-2.tptp',unknown),
[] ).
cnf(158135216,plain,
c_in(c_proplog_opl_oop_a_n_62(v_q,c_proplog_opl_ofalse,t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a)),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
cnf(171636064,plain,
c_in(c_proplog_opl_oop_a_n_62(v_q,c_proplog_opl_ofalse,t_a),c_proplog_othms(c_insert(A,v_h,tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a)),
inference(resolution,[status(thm)],[158118632,158135216]),
[] ).
cnf(178398256,plain,
( ~ c_in(v_q,c_proplog_othms(c_insert(A,v_h,tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))
| c_in(c_proplog_opl_ofalse,c_proplog_othms(c_insert(A,v_h,tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a)) ),
inference(resolution,[status(thm)],[158097256,171636064]),
[] ).
fof(cls_conjecture_0,plain,
c_in(v_p,c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL443-2.tptp',unknown),
[] ).
cnf(158127040,plain,
c_in(v_p,c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a)),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
cnf(171236416,plain,
c_in(v_p,c_proplog_othms(c_insert(A,v_h,tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a)),
inference(resolution,[status(thm)],[158118632,158127040]),
[] ).
cnf(177991160,plain,
( ~ c_in(c_proplog_opl_oop_a_n_62(v_p,A,t_a),c_proplog_othms(c_insert(B,v_h,tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))
| c_in(A,c_proplog_othms(c_insert(B,v_h,tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a)) ),
inference(resolution,[status(thm)],[158097256,171236416]),
[] ).
fof(cls_PropLog_Othms_OH_0,plain,
! [A,B,C] :
( ~ c_in(A,B,tc_proplog_opl(C))
| c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL443-2.tptp',unknown),
[] ).
cnf(158113440,plain,
( ~ c_in(A,B,tc_proplog_opl(C))
| c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C)) ),
inference(rewrite,[status(thm)],[cls_PropLog_Othms_OH_0]),
[] ).
fof(cls_Set_OinsertCI_1,plain,
! [A,B,C] : c_in(A,c_insert(A,B,C),C),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL443-2.tptp',unknown),
[] ).
cnf(158123080,plain,
c_in(A,c_insert(A,B,C),C),
inference(rewrite,[status(thm)],[cls_Set_OinsertCI_1]),
[] ).
cnf(171193528,plain,
c_in(A,c_proplog_othms(c_insert(A,C,tc_proplog_opl(B)),B),tc_proplog_opl(B)),
inference(resolution,[status(thm)],[158113440,158123080]),
[] ).
cnf(182726552,plain,
c_in(A,c_proplog_othms(c_insert(c_proplog_opl_oop_a_n_62(v_p,A,t_a),v_h,tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a)),
inference(resolution,[status(thm)],[177991160,171193528]),
[] ).
cnf(244129808,plain,
c_in(c_proplog_opl_ofalse,c_proplog_othms(c_insert(c_proplog_opl_oop_a_n_62(v_p,v_q,t_a),v_h,tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a)),
inference(resolution,[status(thm)],[178398256,182726552]),
[] ).
cnf(269160400,plain,
c_in(c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(v_p,v_q,t_a),c_proplog_opl_ofalse,t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a)),
inference(resolution,[status(thm)],[158103336,244129808]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[158139488,269160400]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 12 seconds
% START OF PROOF SEQUENCE
% fof(cls_conjecture_2,plain,(~c_in(c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(v_p,v_q,t_a),c_proplog_opl_ofalse,t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL443-2.tptp',unknown),[]).
%
% cnf(158139488,plain,(~c_in(c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(v_p,v_q,t_a),c_proplog_opl_ofalse,t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a))),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
%
% fof(cls_PropLog_Odeduction_0,plain,(~c_in(A,c_proplog_othms(c_insert(B,C,tc_proplog_opl(D)),D),tc_proplog_opl(D))|c_in(c_proplog_opl_oop_a_n_62(B,A,D),c_proplog_othms(C,D),tc_proplog_opl(D))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL443-2.tptp',unknown),[]).
%
% cnf(158103336,plain,(~c_in(A,c_proplog_othms(c_insert(B,C,tc_proplog_opl(D)),D),tc_proplog_opl(D))|c_in(c_proplog_opl_oop_a_n_62(B,A,D),c_proplog_othms(C,D),tc_proplog_opl(D))),inference(rewrite,[status(thm)],[cls_PropLog_Odeduction_0]),[]).
%
% fof(cls_PropLog_Othms_OMP_0,plain,(~c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))|~c_in(c_proplog_opl_oop_a_n_62(A,D,C),c_proplog_othms(B,C),tc_proplog_opl(C))|c_in(D,c_proplog_othms(B,C),tc_proplog_opl(C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL443-2.tptp',unknown),[]).
%
% cnf(158097256,plain,(~c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))|~c_in(c_proplog_opl_oop_a_n_62(A,D,C),c_proplog_othms(B,C),tc_proplog_opl(C))|c_in(D,c_proplog_othms(B,C),tc_proplog_opl(C))),inference(rewrite,[status(thm)],[cls_PropLog_Othms_OMP_0]),[]).
%
% fof(cls_PropLog_Oweaken__left__insert_0,plain,(~c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))|c_in(A,c_proplog_othms(c_insert(D,B,tc_proplog_opl(C)),C),tc_proplog_opl(C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL443-2.tptp',unknown),[]).
%
% cnf(158118632,plain,(~c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))|c_in(A,c_proplog_othms(c_insert(D,B,tc_proplog_opl(C)),C),tc_proplog_opl(C))),inference(rewrite,[status(thm)],[cls_PropLog_Oweaken__left__insert_0]),[]).
%
% fof(cls_conjecture_1,plain,(c_in(c_proplog_opl_oop_a_n_62(v_q,c_proplog_opl_ofalse,t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL443-2.tptp',unknown),[]).
%
% cnf(158135216,plain,(c_in(c_proplog_opl_oop_a_n_62(v_q,c_proplog_opl_ofalse,t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a))),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% cnf(171636064,plain,(c_in(c_proplog_opl_oop_a_n_62(v_q,c_proplog_opl_ofalse,t_a),c_proplog_othms(c_insert(A,v_h,tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))),inference(resolution,[status(thm)],[158118632,158135216]),[]).
%
% cnf(178398256,plain,(~c_in(v_q,c_proplog_othms(c_insert(A,v_h,tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))|c_in(c_proplog_opl_ofalse,c_proplog_othms(c_insert(A,v_h,tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))),inference(resolution,[status(thm)],[158097256,171636064]),[]).
%
% fof(cls_conjecture_0,plain,(c_in(v_p,c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL443-2.tptp',unknown),[]).
%
% cnf(158127040,plain,(c_in(v_p,c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a))),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% cnf(171236416,plain,(c_in(v_p,c_proplog_othms(c_insert(A,v_h,tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))),inference(resolution,[status(thm)],[158118632,158127040]),[]).
%
% cnf(177991160,plain,(~c_in(c_proplog_opl_oop_a_n_62(v_p,A,t_a),c_proplog_othms(c_insert(B,v_h,tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))|c_in(A,c_proplog_othms(c_insert(B,v_h,tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))),inference(resolution,[status(thm)],[158097256,171236416]),[]).
%
% fof(cls_PropLog_Othms_OH_0,plain,(~c_in(A,B,tc_proplog_opl(C))|c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL443-2.tptp',unknown),[]).
%
% cnf(158113440,plain,(~c_in(A,B,tc_proplog_opl(C))|c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))),inference(rewrite,[status(thm)],[cls_PropLog_Othms_OH_0]),[]).
%
% fof(cls_Set_OinsertCI_1,plain,(c_in(A,c_insert(A,B,C),C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL443-2.tptp',unknown),[]).
%
% cnf(158123080,plain,(c_in(A,c_insert(A,B,C),C)),inference(rewrite,[status(thm)],[cls_Set_OinsertCI_1]),[]).
%
% cnf(171193528,plain,(c_in(A,c_proplog_othms(c_insert(A,C,tc_proplog_opl(B)),B),tc_proplog_opl(B))),inference(resolution,[status(thm)],[158113440,158123080]),[]).
%
% cnf(182726552,plain,(c_in(A,c_proplog_othms(c_insert(c_proplog_opl_oop_a_n_62(v_p,A,t_a),v_h,tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))),inference(resolution,[status(thm)],[177991160,171193528]),[]).
%
% cnf(244129808,plain,(c_in(c_proplog_opl_ofalse,c_proplog_othms(c_insert(c_proplog_opl_oop_a_n_62(v_p,v_q,t_a),v_h,tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))),inference(resolution,[status(thm)],[178398256,182726552]),[]).
%
% cnf(269160400,plain,(c_in(c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(v_p,v_q,t_a),c_proplog_opl_ofalse,t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a))),inference(resolution,[status(thm)],[158103336,244129808]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[158139488,269160400]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------