TSTP Solution File: LCL438-2 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL438-2 : 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 13:50:09 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 6 |; 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 : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 20 ( 1 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_PropLog_Othms_OS_0,plain,
! [A,B,C,D,E] : c_in(c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(A,c_proplog_opl_oop_a_n_62(B,C,D),D),c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(A,B,D),c_proplog_opl_oop_a_n_62(A,C,D),D),D),c_proplog_othms(E,D),tc_proplog_opl(D)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL438-2.tptp',unknown),
[] ).
cnf(148391840,plain,
c_in(c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(A,c_proplog_opl_oop_a_n_62(B,C,D),D),c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(A,B,D),c_proplog_opl_oop_a_n_62(A,C,D),D),D),c_proplog_othms(E,D),tc_proplog_opl(D)),
inference(rewrite,[status(thm)],[cls_PropLog_Othms_OS_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/LCL438-2.tptp',unknown),
[] ).
cnf(148387336,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_conjecture_1,plain,
c_in(c_proplog_opl_oop_a_n_62(v_p,c_proplog_opl_oop_a_n_62(v_pa,v_q,t_a),t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL438-2.tptp',unknown),
[] ).
cnf(148341192,plain,
c_in(c_proplog_opl_oop_a_n_62(v_p,c_proplog_opl_oop_a_n_62(v_pa,v_q,t_a),t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a)),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
cnf(161606400,plain,
( ~ c_in(c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(v_p,c_proplog_opl_oop_a_n_62(v_pa,v_q,t_a),t_a),A,t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a))
| c_in(A,c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a)) ),
inference(resolution,[status(thm)],[148387336,148341192]),
[] ).
fof(cls_conjecture_4,plain,
~ c_in(c_proplog_opl_oop_a_n_62(v_p,v_q,t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL438-2.tptp',unknown),
[] ).
cnf(148350248,plain,
~ c_in(c_proplog_opl_oop_a_n_62(v_p,v_q,t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a)),
inference(rewrite,[status(thm)],[cls_conjecture_4]),
[] ).
cnf(161500448,plain,
( ~ c_in(A,c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a))
| ~ c_in(c_proplog_opl_oop_a_n_62(A,c_proplog_opl_oop_a_n_62(v_p,v_q,t_a),t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a)) ),
inference(resolution,[status(thm)],[148387336,148350248]),
[] ).
fof(cls_conjecture_3,plain,
c_in(c_proplog_opl_oop_a_n_62(v_p,v_pa,t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL438-2.tptp',unknown),
[] ).
cnf(148345640,plain,
c_in(c_proplog_opl_oop_a_n_62(v_p,v_pa,t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a)),
inference(rewrite,[status(thm)],[cls_conjecture_3]),
[] ).
cnf(161527392,plain,
~ c_in(c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(v_p,v_pa,t_a),c_proplog_opl_oop_a_n_62(v_p,v_q,t_a),t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a)),
inference(resolution,[status(thm)],[161500448,148345640]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[148391840,161606400,161527392]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_PropLog_Othms_OS_0,plain,(c_in(c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(A,c_proplog_opl_oop_a_n_62(B,C,D),D),c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(A,B,D),c_proplog_opl_oop_a_n_62(A,C,D),D),D),c_proplog_othms(E,D),tc_proplog_opl(D))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL438-2.tptp',unknown),[]).
%
% cnf(148391840,plain,(c_in(c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(A,c_proplog_opl_oop_a_n_62(B,C,D),D),c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(A,B,D),c_proplog_opl_oop_a_n_62(A,C,D),D),D),c_proplog_othms(E,D),tc_proplog_opl(D))),inference(rewrite,[status(thm)],[cls_PropLog_Othms_OS_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/LCL438-2.tptp',unknown),[]).
%
% cnf(148387336,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_conjecture_1,plain,(c_in(c_proplog_opl_oop_a_n_62(v_p,c_proplog_opl_oop_a_n_62(v_pa,v_q,t_a),t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL438-2.tptp',unknown),[]).
%
% cnf(148341192,plain,(c_in(c_proplog_opl_oop_a_n_62(v_p,c_proplog_opl_oop_a_n_62(v_pa,v_q,t_a),t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a))),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% cnf(161606400,plain,(~c_in(c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(v_p,c_proplog_opl_oop_a_n_62(v_pa,v_q,t_a),t_a),A,t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a))|c_in(A,c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a))),inference(resolution,[status(thm)],[148387336,148341192]),[]).
%
% fof(cls_conjecture_4,plain,(~c_in(c_proplog_opl_oop_a_n_62(v_p,v_q,t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL438-2.tptp',unknown),[]).
%
% cnf(148350248,plain,(~c_in(c_proplog_opl_oop_a_n_62(v_p,v_q,t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a))),inference(rewrite,[status(thm)],[cls_conjecture_4]),[]).
%
% cnf(161500448,plain,(~c_in(A,c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a))|~c_in(c_proplog_opl_oop_a_n_62(A,c_proplog_opl_oop_a_n_62(v_p,v_q,t_a),t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a))),inference(resolution,[status(thm)],[148387336,148350248]),[]).
%
% fof(cls_conjecture_3,plain,(c_in(c_proplog_opl_oop_a_n_62(v_p,v_pa,t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL438-2.tptp',unknown),[]).
%
% cnf(148345640,plain,(c_in(c_proplog_opl_oop_a_n_62(v_p,v_pa,t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a))),inference(rewrite,[status(thm)],[cls_conjecture_3]),[]).
%
% cnf(161527392,plain,(~c_in(c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(v_p,v_pa,t_a),c_proplog_opl_oop_a_n_62(v_p,v_q,t_a),t_a),c_proplog_othms(v_h,t_a),tc_proplog_opl(t_a))),inference(resolution,[status(thm)],[161500448,148345640]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[148391840,161606400,161527392]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------