TSTP Solution File: LCL442-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL442-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.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 13:50:22 EDT 2009
% Result : Unsatisfiable 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 37 ( 8 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 63 ( 30 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 49 ( 13 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_PropLog_Oweaken__left__Un2_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_union(D,B,tc_proplog_opl(C)),C),tc_proplog_opl(C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL442-2.tptp',unknown),
[] ).
cnf(162368592,plain,
( ~ c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))
| c_in(A,c_proplog_othms(c_union(D,B,tc_proplog_opl(C)),C),tc_proplog_opl(C)) ),
inference(rewrite,[status(thm)],[cls_PropLog_Oweaken__left__Un2_0]),
[] ).
fof(cls_conjecture_2,plain,
( c_in(v_pl2,c_proplog_othms(c_proplog_ohyps(v_pl2,v_tt,t_a),t_a),tc_proplog_opl(t_a))
| ~ c_proplog_oeval(v_tt,v_pl2,t_a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL442-2.tptp',unknown),
[] ).
cnf(162243376,plain,
( c_in(v_pl2,c_proplog_othms(c_proplog_ohyps(v_pl2,v_tt,t_a),t_a),tc_proplog_opl(t_a))
| ~ c_proplog_oeval(v_tt,v_pl2,t_a) ),
inference(rewrite,[status(thm)],[cls_conjecture_2]),
[] ).
cnf(186395560,plain,
( c_in(v_pl2,c_proplog_othms(c_union(A,c_proplog_ohyps(v_pl2,v_tt,t_a),tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))
| ~ c_proplog_oeval(v_tt,v_pl2,t_a) ),
inference(resolution,[status(thm)],[162368592,162243376]),
[] ).
fof(cls_conjecture_5,plain,
( ~ c_proplog_oeval(v_tt,v_pl2,t_a)
| ~ c_in(c_proplog_opl_oop_a_n_62(v_pl1,v_pl2,t_a),c_proplog_othms(c_union(c_proplog_ohyps(v_pl1,v_tt,t_a),c_proplog_ohyps(v_pl2,v_tt,t_a),tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL442-2.tptp',unknown),
[] ).
cnf(162270336,plain,
( ~ c_proplog_oeval(v_tt,v_pl2,t_a)
| ~ c_in(c_proplog_opl_oop_a_n_62(v_pl1,v_pl2,t_a),c_proplog_othms(c_union(c_proplog_ohyps(v_pl1,v_tt,t_a),c_proplog_ohyps(v_pl2,v_tt,t_a),tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a)) ),
inference(rewrite,[status(thm)],[cls_conjecture_5]),
[] ).
fof(cls_PropLog_Oweaken__right_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(D,A,C),c_proplog_othms(B,C),tc_proplog_opl(C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL442-2.tptp',unknown),
[] ).
cnf(162372424,plain,
( ~ c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))
| c_in(c_proplog_opl_oop_a_n_62(D,A,C),c_proplog_othms(B,C),tc_proplog_opl(C)) ),
inference(rewrite,[status(thm)],[cls_PropLog_Oweaken__right_0]),
[] ).
cnf(189208336,plain,
~ c_proplog_oeval(v_tt,v_pl2,t_a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[186395560,162270336,162372424]),
[] ).
fof(cls_PropLog_Ofalse__imp_0,plain,
! [A,B,C,D] :
( ~ c_in(c_proplog_opl_oop_a_n_62(A,c_proplog_opl_ofalse,B),c_proplog_othms(C,B),tc_proplog_opl(B))
| c_in(c_proplog_opl_oop_a_n_62(A,D,B),c_proplog_othms(C,B),tc_proplog_opl(B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL442-2.tptp',unknown),
[] ).
cnf(162307728,plain,
( ~ c_in(c_proplog_opl_oop_a_n_62(A,c_proplog_opl_ofalse,B),c_proplog_othms(C,B),tc_proplog_opl(B))
| c_in(c_proplog_opl_oop_a_n_62(A,D,B),c_proplog_othms(C,B),tc_proplog_opl(B)) ),
inference(rewrite,[status(thm)],[cls_PropLog_Ofalse__imp_0]),
[] ).
fof(cls_conjecture_3,plain,
( c_in(c_proplog_opl_oop_a_n_62(v_pl2,c_proplog_opl_ofalse,t_a),c_proplog_othms(c_proplog_ohyps(v_pl2,v_tt,t_a),t_a),tc_proplog_opl(t_a))
| c_proplog_oeval(v_tt,v_pl2,t_a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL442-2.tptp',unknown),
[] ).
cnf(162253120,plain,
( c_in(c_proplog_opl_oop_a_n_62(v_pl2,c_proplog_opl_ofalse,t_a),c_proplog_othms(c_proplog_ohyps(v_pl2,v_tt,t_a),t_a),tc_proplog_opl(t_a))
| c_proplog_oeval(v_tt,v_pl2,t_a) ),
inference(rewrite,[status(thm)],[cls_conjecture_3]),
[] ).
cnf(186576968,plain,
( c_in(c_proplog_opl_oop_a_n_62(v_pl2,A,t_a),c_proplog_othms(c_proplog_ohyps(v_pl2,v_tt,t_a),t_a),tc_proplog_opl(t_a))
| c_proplog_oeval(v_tt,v_pl2,t_a) ),
inference(resolution,[status(thm)],[162307728,162253120]),
[] ).
cnf(189284360,plain,
c_in(c_proplog_opl_oop_a_n_62(v_pl2,A,t_a),c_proplog_othms(c_proplog_ohyps(v_pl2,v_tt,t_a),t_a),tc_proplog_opl(t_a)),
inference(resolution,[status(thm)],[189208336,186576968]),
[] ).
cnf(189351616,plain,
c_in(c_proplog_opl_oop_a_n_62(v_pl2,A,t_a),c_proplog_othms(c_union(B,c_proplog_ohyps(v_pl2,v_tt,t_a),tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a)),
inference(resolution,[status(thm)],[189284360,162368592]),
[] ).
fof(cls_conjecture_1,plain,
( c_in(c_proplog_opl_oop_a_n_62(v_pl1,c_proplog_opl_ofalse,t_a),c_proplog_othms(c_proplog_ohyps(v_pl1,v_tt,t_a),t_a),tc_proplog_opl(t_a))
| c_proplog_oeval(v_tt,v_pl1,t_a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL442-2.tptp',unknown),
[] ).
cnf(162237656,plain,
( c_in(c_proplog_opl_oop_a_n_62(v_pl1,c_proplog_opl_ofalse,t_a),c_proplog_othms(c_proplog_ohyps(v_pl1,v_tt,t_a),t_a),tc_proplog_opl(t_a))
| c_proplog_oeval(v_tt,v_pl1,t_a) ),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
cnf(186556688,plain,
( c_in(c_proplog_opl_oop_a_n_62(v_pl1,A,t_a),c_proplog_othms(c_proplog_ohyps(v_pl1,v_tt,t_a),t_a),tc_proplog_opl(t_a))
| c_proplog_oeval(v_tt,v_pl1,t_a) ),
inference(resolution,[status(thm)],[162307728,162237656]),
[] ).
fof(cls_conjecture_4,plain,
( c_proplog_oeval(v_tt,v_pl1,t_a)
| ~ c_in(c_proplog_opl_oop_a_n_62(v_pl1,v_pl2,t_a),c_proplog_othms(c_union(c_proplog_ohyps(v_pl1,v_tt,t_a),c_proplog_ohyps(v_pl2,v_tt,t_a),tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL442-2.tptp',unknown),
[] ).
cnf(162259424,plain,
( c_proplog_oeval(v_tt,v_pl1,t_a)
| ~ c_in(c_proplog_opl_oop_a_n_62(v_pl1,v_pl2,t_a),c_proplog_othms(c_union(c_proplog_ohyps(v_pl1,v_tt,t_a),c_proplog_ohyps(v_pl2,v_tt,t_a),tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a)) ),
inference(rewrite,[status(thm)],[cls_conjecture_4]),
[] ).
fof(cls_PropLog_Oweaken__left__Un1_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_union(B,D,tc_proplog_opl(C)),C),tc_proplog_opl(C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL442-2.tptp',unknown),
[] ).
cnf(162364216,plain,
( ~ c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))
| c_in(A,c_proplog_othms(c_union(B,D,tc_proplog_opl(C)),C),tc_proplog_opl(C)) ),
inference(rewrite,[status(thm)],[cls_PropLog_Oweaken__left__Un1_0]),
[] ).
cnf(188002520,plain,
c_proplog_oeval(v_tt,v_pl1,t_a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[186556688,162259424,162364216]),
[] ).
fof(cls_conjecture_0,plain,
( c_in(v_pl1,c_proplog_othms(c_proplog_ohyps(v_pl1,v_tt,t_a),t_a),tc_proplog_opl(t_a))
| ~ c_proplog_oeval(v_tt,v_pl1,t_a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL442-2.tptp',unknown),
[] ).
cnf(162231536,plain,
( c_in(v_pl1,c_proplog_othms(c_proplog_ohyps(v_pl1,v_tt,t_a),t_a),tc_proplog_opl(t_a))
| ~ c_proplog_oeval(v_tt,v_pl1,t_a) ),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
cnf(186181664,plain,
( c_in(v_pl1,c_proplog_othms(c_union(c_proplog_ohyps(v_pl1,v_tt,t_a),A,tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))
| ~ c_proplog_oeval(v_tt,v_pl1,t_a) ),
inference(resolution,[status(thm)],[162364216,162231536]),
[] ).
cnf(188075296,plain,
c_in(v_pl1,c_proplog_othms(c_union(c_proplog_ohyps(v_pl1,v_tt,t_a),A,tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a)),
inference(resolution,[status(thm)],[188002520,186181664]),
[] ).
fof(cls_PropLog_Oimp__false_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(D,c_proplog_opl_ofalse,C),c_proplog_othms(B,C),tc_proplog_opl(C))
| c_in(c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(A,D,C),c_proplog_opl_ofalse,C),c_proplog_othms(B,C),tc_proplog_opl(C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL442-2.tptp',unknown),
[] ).
cnf(162329880,plain,
( ~ c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))
| ~ c_in(c_proplog_opl_oop_a_n_62(D,c_proplog_opl_ofalse,C),c_proplog_othms(B,C),tc_proplog_opl(C))
| c_in(c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(A,D,C),c_proplog_opl_ofalse,C),c_proplog_othms(B,C),tc_proplog_opl(C)) ),
inference(rewrite,[status(thm)],[cls_PropLog_Oimp__false_0]),
[] ).
cnf(186226112,plain,
( c_in(c_proplog_opl_oop_a_n_62(v_pl1,c_proplog_opl_ofalse,t_a),c_proplog_othms(c_union(c_proplog_ohyps(v_pl1,v_tt,t_a),A,tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))
| c_proplog_oeval(v_tt,v_pl1,t_a) ),
inference(resolution,[status(thm)],[162364216,162237656]),
[] ).
cnf(188023000,plain,
c_proplog_oeval(v_tt,v_pl1,t_a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[186226112,162259424,162307728]),
[] ).
fof(cls_conjecture_9,plain,
( ~ c_in(c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(v_pl1,v_pl2,t_a),c_proplog_opl_ofalse,t_a),c_proplog_othms(c_union(c_proplog_ohyps(v_pl1,v_tt,t_a),c_proplog_ohyps(v_pl2,v_tt,t_a),tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))
| c_proplog_oeval(v_tt,v_pl2,t_a)
| ~ c_proplog_oeval(v_tt,v_pl1,t_a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL442-2.tptp',unknown),
[] ).
cnf(162279264,plain,
( ~ c_in(c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(v_pl1,v_pl2,t_a),c_proplog_opl_ofalse,t_a),c_proplog_othms(c_union(c_proplog_ohyps(v_pl1,v_tt,t_a),c_proplog_ohyps(v_pl2,v_tt,t_a),tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))
| c_proplog_oeval(v_tt,v_pl2,t_a)
| ~ c_proplog_oeval(v_tt,v_pl1,t_a) ),
inference(rewrite,[status(thm)],[cls_conjecture_9]),
[] ).
cnf(192549528,plain,
~ c_in(c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(v_pl1,v_pl2,t_a),c_proplog_opl_ofalse,t_a),c_proplog_othms(c_union(c_proplog_ohyps(v_pl1,v_tt,t_a),c_proplog_ohyps(v_pl2,v_tt,t_a),tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[188023000,162279264,189208336]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[189351616,188075296,162329880,192549528]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_PropLog_Oweaken__left__Un2_0,plain,(~c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))|c_in(A,c_proplog_othms(c_union(D,B,tc_proplog_opl(C)),C),tc_proplog_opl(C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL442-2.tptp',unknown),[]).
%
% cnf(162368592,plain,(~c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))|c_in(A,c_proplog_othms(c_union(D,B,tc_proplog_opl(C)),C),tc_proplog_opl(C))),inference(rewrite,[status(thm)],[cls_PropLog_Oweaken__left__Un2_0]),[]).
%
% fof(cls_conjecture_2,plain,(c_in(v_pl2,c_proplog_othms(c_proplog_ohyps(v_pl2,v_tt,t_a),t_a),tc_proplog_opl(t_a))|~c_proplog_oeval(v_tt,v_pl2,t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL442-2.tptp',unknown),[]).
%
% cnf(162243376,plain,(c_in(v_pl2,c_proplog_othms(c_proplog_ohyps(v_pl2,v_tt,t_a),t_a),tc_proplog_opl(t_a))|~c_proplog_oeval(v_tt,v_pl2,t_a)),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
%
% cnf(186395560,plain,(c_in(v_pl2,c_proplog_othms(c_union(A,c_proplog_ohyps(v_pl2,v_tt,t_a),tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))|~c_proplog_oeval(v_tt,v_pl2,t_a)),inference(resolution,[status(thm)],[162368592,162243376]),[]).
%
% fof(cls_conjecture_5,plain,(~c_proplog_oeval(v_tt,v_pl2,t_a)|~c_in(c_proplog_opl_oop_a_n_62(v_pl1,v_pl2,t_a),c_proplog_othms(c_union(c_proplog_ohyps(v_pl1,v_tt,t_a),c_proplog_ohyps(v_pl2,v_tt,t_a),tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL442-2.tptp',unknown),[]).
%
% cnf(162270336,plain,(~c_proplog_oeval(v_tt,v_pl2,t_a)|~c_in(c_proplog_opl_oop_a_n_62(v_pl1,v_pl2,t_a),c_proplog_othms(c_union(c_proplog_ohyps(v_pl1,v_tt,t_a),c_proplog_ohyps(v_pl2,v_tt,t_a),tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))),inference(rewrite,[status(thm)],[cls_conjecture_5]),[]).
%
% fof(cls_PropLog_Oweaken__right_0,plain,(~c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))|c_in(c_proplog_opl_oop_a_n_62(D,A,C),c_proplog_othms(B,C),tc_proplog_opl(C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL442-2.tptp',unknown),[]).
%
% cnf(162372424,plain,(~c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))|c_in(c_proplog_opl_oop_a_n_62(D,A,C),c_proplog_othms(B,C),tc_proplog_opl(C))),inference(rewrite,[status(thm)],[cls_PropLog_Oweaken__right_0]),[]).
%
% cnf(189208336,plain,(~c_proplog_oeval(v_tt,v_pl2,t_a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[186395560,162270336,162372424]),[]).
%
% fof(cls_PropLog_Ofalse__imp_0,plain,(~c_in(c_proplog_opl_oop_a_n_62(A,c_proplog_opl_ofalse,B),c_proplog_othms(C,B),tc_proplog_opl(B))|c_in(c_proplog_opl_oop_a_n_62(A,D,B),c_proplog_othms(C,B),tc_proplog_opl(B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL442-2.tptp',unknown),[]).
%
% cnf(162307728,plain,(~c_in(c_proplog_opl_oop_a_n_62(A,c_proplog_opl_ofalse,B),c_proplog_othms(C,B),tc_proplog_opl(B))|c_in(c_proplog_opl_oop_a_n_62(A,D,B),c_proplog_othms(C,B),tc_proplog_opl(B))),inference(rewrite,[status(thm)],[cls_PropLog_Ofalse__imp_0]),[]).
%
% fof(cls_conjecture_3,plain,(c_in(c_proplog_opl_oop_a_n_62(v_pl2,c_proplog_opl_ofalse,t_a),c_proplog_othms(c_proplog_ohyps(v_pl2,v_tt,t_a),t_a),tc_proplog_opl(t_a))|c_proplog_oeval(v_tt,v_pl2,t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL442-2.tptp',unknown),[]).
%
% cnf(162253120,plain,(c_in(c_proplog_opl_oop_a_n_62(v_pl2,c_proplog_opl_ofalse,t_a),c_proplog_othms(c_proplog_ohyps(v_pl2,v_tt,t_a),t_a),tc_proplog_opl(t_a))|c_proplog_oeval(v_tt,v_pl2,t_a)),inference(rewrite,[status(thm)],[cls_conjecture_3]),[]).
%
% cnf(186576968,plain,(c_in(c_proplog_opl_oop_a_n_62(v_pl2,A,t_a),c_proplog_othms(c_proplog_ohyps(v_pl2,v_tt,t_a),t_a),tc_proplog_opl(t_a))|c_proplog_oeval(v_tt,v_pl2,t_a)),inference(resolution,[status(thm)],[162307728,162253120]),[]).
%
% cnf(189284360,plain,(c_in(c_proplog_opl_oop_a_n_62(v_pl2,A,t_a),c_proplog_othms(c_proplog_ohyps(v_pl2,v_tt,t_a),t_a),tc_proplog_opl(t_a))),inference(resolution,[status(thm)],[189208336,186576968]),[]).
%
% cnf(189351616,plain,(c_in(c_proplog_opl_oop_a_n_62(v_pl2,A,t_a),c_proplog_othms(c_union(B,c_proplog_ohyps(v_pl2,v_tt,t_a),tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))),inference(resolution,[status(thm)],[189284360,162368592]),[]).
%
% fof(cls_conjecture_1,plain,(c_in(c_proplog_opl_oop_a_n_62(v_pl1,c_proplog_opl_ofalse,t_a),c_proplog_othms(c_proplog_ohyps(v_pl1,v_tt,t_a),t_a),tc_proplog_opl(t_a))|c_proplog_oeval(v_tt,v_pl1,t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL442-2.tptp',unknown),[]).
%
% cnf(162237656,plain,(c_in(c_proplog_opl_oop_a_n_62(v_pl1,c_proplog_opl_ofalse,t_a),c_proplog_othms(c_proplog_ohyps(v_pl1,v_tt,t_a),t_a),tc_proplog_opl(t_a))|c_proplog_oeval(v_tt,v_pl1,t_a)),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% cnf(186556688,plain,(c_in(c_proplog_opl_oop_a_n_62(v_pl1,A,t_a),c_proplog_othms(c_proplog_ohyps(v_pl1,v_tt,t_a),t_a),tc_proplog_opl(t_a))|c_proplog_oeval(v_tt,v_pl1,t_a)),inference(resolution,[status(thm)],[162307728,162237656]),[]).
%
% fof(cls_conjecture_4,plain,(c_proplog_oeval(v_tt,v_pl1,t_a)|~c_in(c_proplog_opl_oop_a_n_62(v_pl1,v_pl2,t_a),c_proplog_othms(c_union(c_proplog_ohyps(v_pl1,v_tt,t_a),c_proplog_ohyps(v_pl2,v_tt,t_a),tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL442-2.tptp',unknown),[]).
%
% cnf(162259424,plain,(c_proplog_oeval(v_tt,v_pl1,t_a)|~c_in(c_proplog_opl_oop_a_n_62(v_pl1,v_pl2,t_a),c_proplog_othms(c_union(c_proplog_ohyps(v_pl1,v_tt,t_a),c_proplog_ohyps(v_pl2,v_tt,t_a),tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))),inference(rewrite,[status(thm)],[cls_conjecture_4]),[]).
%
% fof(cls_PropLog_Oweaken__left__Un1_0,plain,(~c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))|c_in(A,c_proplog_othms(c_union(B,D,tc_proplog_opl(C)),C),tc_proplog_opl(C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL442-2.tptp',unknown),[]).
%
% cnf(162364216,plain,(~c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))|c_in(A,c_proplog_othms(c_union(B,D,tc_proplog_opl(C)),C),tc_proplog_opl(C))),inference(rewrite,[status(thm)],[cls_PropLog_Oweaken__left__Un1_0]),[]).
%
% cnf(188002520,plain,(c_proplog_oeval(v_tt,v_pl1,t_a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[186556688,162259424,162364216]),[]).
%
% fof(cls_conjecture_0,plain,(c_in(v_pl1,c_proplog_othms(c_proplog_ohyps(v_pl1,v_tt,t_a),t_a),tc_proplog_opl(t_a))|~c_proplog_oeval(v_tt,v_pl1,t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL442-2.tptp',unknown),[]).
%
% cnf(162231536,plain,(c_in(v_pl1,c_proplog_othms(c_proplog_ohyps(v_pl1,v_tt,t_a),t_a),tc_proplog_opl(t_a))|~c_proplog_oeval(v_tt,v_pl1,t_a)),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% cnf(186181664,plain,(c_in(v_pl1,c_proplog_othms(c_union(c_proplog_ohyps(v_pl1,v_tt,t_a),A,tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))|~c_proplog_oeval(v_tt,v_pl1,t_a)),inference(resolution,[status(thm)],[162364216,162231536]),[]).
%
% cnf(188075296,plain,(c_in(v_pl1,c_proplog_othms(c_union(c_proplog_ohyps(v_pl1,v_tt,t_a),A,tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))),inference(resolution,[status(thm)],[188002520,186181664]),[]).
%
% fof(cls_PropLog_Oimp__false_0,plain,(~c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))|~c_in(c_proplog_opl_oop_a_n_62(D,c_proplog_opl_ofalse,C),c_proplog_othms(B,C),tc_proplog_opl(C))|c_in(c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(A,D,C),c_proplog_opl_ofalse,C),c_proplog_othms(B,C),tc_proplog_opl(C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL442-2.tptp',unknown),[]).
%
% cnf(162329880,plain,(~c_in(A,c_proplog_othms(B,C),tc_proplog_opl(C))|~c_in(c_proplog_opl_oop_a_n_62(D,c_proplog_opl_ofalse,C),c_proplog_othms(B,C),tc_proplog_opl(C))|c_in(c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(A,D,C),c_proplog_opl_ofalse,C),c_proplog_othms(B,C),tc_proplog_opl(C))),inference(rewrite,[status(thm)],[cls_PropLog_Oimp__false_0]),[]).
%
% cnf(186226112,plain,(c_in(c_proplog_opl_oop_a_n_62(v_pl1,c_proplog_opl_ofalse,t_a),c_proplog_othms(c_union(c_proplog_ohyps(v_pl1,v_tt,t_a),A,tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))|c_proplog_oeval(v_tt,v_pl1,t_a)),inference(resolution,[status(thm)],[162364216,162237656]),[]).
%
% cnf(188023000,plain,(c_proplog_oeval(v_tt,v_pl1,t_a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[186226112,162259424,162307728]),[]).
%
% fof(cls_conjecture_9,plain,(~c_in(c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(v_pl1,v_pl2,t_a),c_proplog_opl_ofalse,t_a),c_proplog_othms(c_union(c_proplog_ohyps(v_pl1,v_tt,t_a),c_proplog_ohyps(v_pl2,v_tt,t_a),tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))|c_proplog_oeval(v_tt,v_pl2,t_a)|~c_proplog_oeval(v_tt,v_pl1,t_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL442-2.tptp',unknown),[]).
%
% cnf(162279264,plain,(~c_in(c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(v_pl1,v_pl2,t_a),c_proplog_opl_ofalse,t_a),c_proplog_othms(c_union(c_proplog_ohyps(v_pl1,v_tt,t_a),c_proplog_ohyps(v_pl2,v_tt,t_a),tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))|c_proplog_oeval(v_tt,v_pl2,t_a)|~c_proplog_oeval(v_tt,v_pl1,t_a)),inference(rewrite,[status(thm)],[cls_conjecture_9]),[]).
%
% cnf(192549528,plain,(~c_in(c_proplog_opl_oop_a_n_62(c_proplog_opl_oop_a_n_62(v_pl1,v_pl2,t_a),c_proplog_opl_ofalse,t_a),c_proplog_othms(c_union(c_proplog_ohyps(v_pl1,v_tt,t_a),c_proplog_ohyps(v_pl2,v_tt,t_a),tc_proplog_opl(t_a)),t_a),tc_proplog_opl(t_a))),inference(forward_subsumption_resolution__resolution,[status(thm)],[188023000,162279264,189208336]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[189351616,188075296,162329880,192549528]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------