%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO085-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 11:55:36 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 18 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 22 ( 3 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(open_defn_33,plain,
! [A] :
( ~ open(A)
| end_point(ax0_sk7(A),A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO085-1.tptp',unknown),
[] ).
cnf(168207064,plain,
( ~ open(A)
| end_point(ax0_sk7(A),A) ),
inference(rewrite,[status(thm)],[open_defn_33]),
[] ).
fof(open_defn_34,plain,
! [A,B] :
( ~ end_point(A,B)
| open(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO085-1.tptp',unknown),
[] ).
cnf(168216576,plain,
( ~ end_point(A,B)
| open(B) ),
inference(rewrite,[status(thm)],[open_defn_34]),
[] ).
cnf(180808248,plain,
( end_point(ax0_sk7(A),A)
| ~ end_point(B,A) ),
inference(resolution,[status(thm)],[168207064,168216576]),
[] ).
fof(c6_41,plain,
! [A,B] :
( ~ end_point(A,B)
| end_point(ax0_sk11(A,B),B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO085-1.tptp',unknown),
[] ).
cnf(168287608,plain,
( ~ end_point(A,B)
| end_point(ax0_sk11(A,B),B) ),
inference(rewrite,[status(thm)],[c6_41]),
[] ).
cnf(181308448,plain,
( ~ end_point(B,A)
| end_point(ax0_sk11(ax0_sk7(A),A),A) ),
inference(resolution,[status(thm)],[180808248,168287608]),
[] ).
fof(theorem_2_7_1_68,plain,
! [B,A] :
( $equal(B,A)
| ~ end_point(A,sk14)
| ~ end_point(B,sk14) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO085-1.tptp',unknown),
[] ).
cnf(168358784,plain,
( $equal(B,A)
| ~ end_point(A,sk14)
| ~ end_point(B,sk14) ),
inference(rewrite,[status(thm)],[theorem_2_7_1_68]),
[] ).
fof(c6_42,plain,
! [A,B] :
( ~ end_point(A,B)
| ~ $equal(ax0_sk11(A,B),A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO085-1.tptp',unknown),
[] ).
cnf(168297120,plain,
( ~ end_point(A,B)
| ~ $equal(ax0_sk11(A,B),A) ),
inference(rewrite,[status(thm)],[c6_42]),
[] ).
fof(theorem_2_7_1_67,plain,
open(sk14),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO085-1.tptp',unknown),
[] ).
cnf(168349984,plain,
open(sk14),
inference(rewrite,[status(thm)],[theorem_2_7_1_67]),
[] ).
cnf(178909200,plain,
end_point(ax0_sk7(sk14),sk14),
inference(resolution,[status(thm)],[168207064,168349984]),
[] ).
cnf(179040792,plain,
~ $equal(ax0_sk11(ax0_sk7(sk14),sk14),ax0_sk7(sk14)),
inference(resolution,[status(thm)],[168297120,178909200]),
[] ).
cnf(183073664,plain,
~ end_point(ax0_sk7(sk14),sk14),
inference(forward_subsumption_resolution__resolution,[status(thm)],[181308448,168358784,179040792]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[183073664,178909200]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(open_defn_33,plain,(~open(A)|end_point(ax0_sk7(A),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO085-1.tptp',unknown),[]).
%
% cnf(168207064,plain,(~open(A)|end_point(ax0_sk7(A),A)),inference(rewrite,[status(thm)],[open_defn_33]),[]).
%
% fof(open_defn_34,plain,(~end_point(A,B)|open(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO085-1.tptp',unknown),[]).
%
% cnf(168216576,plain,(~end_point(A,B)|open(B)),inference(rewrite,[status(thm)],[open_defn_34]),[]).
%
% cnf(180808248,plain,(end_point(ax0_sk7(A),A)|~end_point(B,A)),inference(resolution,[status(thm)],[168207064,168216576]),[]).
%
% fof(c6_41,plain,(~end_point(A,B)|end_point(ax0_sk11(A,B),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO085-1.tptp',unknown),[]).
%
% cnf(168287608,plain,(~end_point(A,B)|end_point(ax0_sk11(A,B),B)),inference(rewrite,[status(thm)],[c6_41]),[]).
%
% cnf(181308448,plain,(~end_point(B,A)|end_point(ax0_sk11(ax0_sk7(A),A),A)),inference(resolution,[status(thm)],[180808248,168287608]),[]).
%
% fof(theorem_2_7_1_68,plain,($equal(B,A)|~end_point(A,sk14)|~end_point(B,sk14)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO085-1.tptp',unknown),[]).
%
% cnf(168358784,plain,($equal(B,A)|~end_point(A,sk14)|~end_point(B,sk14)),inference(rewrite,[status(thm)],[theorem_2_7_1_68]),[]).
%
% fof(c6_42,plain,(~end_point(A,B)|~$equal(ax0_sk11(A,B),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO085-1.tptp',unknown),[]).
%
% cnf(168297120,plain,(~end_point(A,B)|~$equal(ax0_sk11(A,B),A)),inference(rewrite,[status(thm)],[c6_42]),[]).
%
% fof(theorem_2_7_1_67,plain,(open(sk14)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO085-1.tptp',unknown),[]).
%
% cnf(168349984,plain,(open(sk14)),inference(rewrite,[status(thm)],[theorem_2_7_1_67]),[]).
%
% cnf(178909200,plain,(end_point(ax0_sk7(sk14),sk14)),inference(resolution,[status(thm)],[168207064,168349984]),[]).
%
% cnf(179040792,plain,(~$equal(ax0_sk11(ax0_sk7(sk14),sk14),ax0_sk7(sk14))),inference(resolution,[status(thm)],[168297120,178909200]),[]).
%
% cnf(183073664,plain,(~end_point(ax0_sk7(sk14),sk14)),inference(forward_subsumption_resolution__resolution,[status(thm)],[181308448,168358784,179040792]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[183073664,178909200]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------