TSTP Solution File: GEO086+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO086+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 11:55:41 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 15 ~; 13 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 4 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(open_defn,plain,
! [A,C] :
( ( ~ open(A)
| end_point(p_nn_1(A),A) )
& ( open(A)
| ~ end_point(C,A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO086+1.tptp',unknown),
[] ).
cnf(173960936,plain,
( open(A)
| ~ end_point(C,A) ),
inference(rewrite,[status(thm)],[open_defn]),
[] ).
fof(theorem_2_7_2,plain,
( open(c)
& part_of(cpp,c)
& ~ open(cpp) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO086+1.tptp',unknown),
[] ).
cnf(174155600,plain,
~ open(cpp),
inference(rewrite,[status(thm)],[theorem_2_7_2]),
[] ).
cnf(187402368,plain,
~ end_point(B,cpp),
inference(resolution,[status(thm)],[173960936,174155600]),
[] ).
fof(closed_defn,plain,
! [A,B] :
( ( ~ closed(A)
| ~ end_point(B,A) )
& ( closed(A)
| end_point(p(A,B),A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO086+1.tptp',unknown),
[] ).
cnf(173942936,plain,
( closed(A)
| end_point(p(A,B),A) ),
inference(rewrite,[status(thm)],[closed_defn]),
[] ).
cnf(189989880,plain,
closed(cpp),
inference(resolution,[status(thm)],[187402368,173942936]),
[] ).
fof(c1,plain,
! [B,A] :
( ~ part_of(B,A)
| $equal(A,B)
| open(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO086+1.tptp',unknown),
[] ).
cnf(173974760,plain,
( ~ part_of(B,A)
| $equal(A,B)
| open(B) ),
inference(rewrite,[status(thm)],[c1]),
[] ).
cnf(187425320,plain,
( ~ part_of(cpp,A)
| $equal(A,cpp) ),
inference(resolution,[status(thm)],[173974760,174155600]),
[] ).
cnf(174168016,plain,
part_of(cpp,c),
inference(rewrite,[status(thm)],[theorem_2_7_2]),
[] ).
cnf(187436320,plain,
$equal(c,cpp),
inference(resolution,[status(thm)],[187425320,174168016]),
[] ).
cnf(173950032,plain,
( ~ closed(A)
| ~ end_point(B,A) ),
inference(rewrite,[status(thm)],[closed_defn]),
[] ).
cnf(173967872,plain,
( ~ open(A)
| end_point(p_nn_1(A),A) ),
inference(rewrite,[status(thm)],[open_defn]),
[] ).
cnf(174175688,plain,
open(c),
inference(rewrite,[status(thm)],[theorem_2_7_2]),
[] ).
cnf(187387216,plain,
end_point(p_nn_1(c),c),
inference(resolution,[status(thm)],[173967872,174175688]),
[] ).
cnf(187579032,plain,
~ closed(c),
inference(resolution,[status(thm)],[173950032,187387216]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[189989880,187436320,187579032,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(open_defn,plain,(((~open(A)|end_point(p_nn_1(A),A))&(open(A)|~end_point(C,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO086+1.tptp',unknown),[]).
%
% cnf(173960936,plain,(open(A)|~end_point(C,A)),inference(rewrite,[status(thm)],[open_defn]),[]).
%
% fof(theorem_2_7_2,plain,((open(c)&part_of(cpp,c)&~open(cpp))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO086+1.tptp',unknown),[]).
%
% cnf(174155600,plain,(~open(cpp)),inference(rewrite,[status(thm)],[theorem_2_7_2]),[]).
%
% cnf(187402368,plain,(~end_point(B,cpp)),inference(resolution,[status(thm)],[173960936,174155600]),[]).
%
% fof(closed_defn,plain,(((~closed(A)|~end_point(B,A))&(closed(A)|end_point(p(A,B),A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO086+1.tptp',unknown),[]).
%
% cnf(173942936,plain,(closed(A)|end_point(p(A,B),A)),inference(rewrite,[status(thm)],[closed_defn]),[]).
%
% cnf(189989880,plain,(closed(cpp)),inference(resolution,[status(thm)],[187402368,173942936]),[]).
%
% fof(c1,plain,(~part_of(B,A)|$equal(A,B)|open(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO086+1.tptp',unknown),[]).
%
% cnf(173974760,plain,(~part_of(B,A)|$equal(A,B)|open(B)),inference(rewrite,[status(thm)],[c1]),[]).
%
% cnf(187425320,plain,(~part_of(cpp,A)|$equal(A,cpp)),inference(resolution,[status(thm)],[173974760,174155600]),[]).
%
% cnf(174168016,plain,(part_of(cpp,c)),inference(rewrite,[status(thm)],[theorem_2_7_2]),[]).
%
% cnf(187436320,plain,($equal(c,cpp)),inference(resolution,[status(thm)],[187425320,174168016]),[]).
%
% cnf(173950032,plain,(~closed(A)|~end_point(B,A)),inference(rewrite,[status(thm)],[closed_defn]),[]).
%
% cnf(173967872,plain,(~open(A)|end_point(p_nn_1(A),A)),inference(rewrite,[status(thm)],[open_defn]),[]).
%
% cnf(174175688,plain,(open(c)),inference(rewrite,[status(thm)],[theorem_2_7_2]),[]).
%
% cnf(187387216,plain,(end_point(p_nn_1(c),c)),inference(resolution,[status(thm)],[173967872,174175688]),[]).
%
% cnf(187579032,plain,(~closed(c)),inference(resolution,[status(thm)],[173950032,187387216]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[189989880,187436320,187579032,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------