TSTP Solution File: GEO081-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO081-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 11:55:22 EDT 2009
% Result : Unsatisfiable 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(part_of_defn_1,plain,
! [A,B,C] :
( ~ part_of(A,B)
| ~ incident_c(C,A)
| incident_c(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO081-1.tptp',unknown),
[] ).
cnf(156535064,plain,
( ~ part_of(A,B)
| ~ incident_c(C,A)
| incident_c(C,B) ),
inference(rewrite,[status(thm)],[part_of_defn_1]),
[] ).
fof(part_of_transitivity_67,plain,
part_of(sk14,sk15),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO081-1.tptp',unknown),
[] ).
cnf(157007264,plain,
part_of(sk14,sk15),
inference(rewrite,[status(thm)],[part_of_transitivity_67]),
[] ).
cnf(170262584,plain,
( ~ incident_c(A,sk14)
| incident_c(A,sk15) ),
inference(resolution,[status(thm)],[156535064,157007264]),
[] ).
fof(part_of_defn_2,plain,
! [A,B] :
( incident_c(ax0_sk1(A,B),A)
| part_of(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO081-1.tptp',unknown),
[] ).
cnf(156542352,plain,
( incident_c(ax0_sk1(A,B),A)
| part_of(A,B) ),
inference(rewrite,[status(thm)],[part_of_defn_2]),
[] ).
fof(part_of_transitivity_69,plain,
~ part_of(sk14,sk16),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO081-1.tptp',unknown),
[] ).
cnf(157015648,plain,
~ part_of(sk14,sk16),
inference(rewrite,[status(thm)],[part_of_transitivity_69]),
[] ).
cnf(170578304,plain,
incident_c(ax0_sk1(sk14,sk16),sk14),
inference(resolution,[status(thm)],[156542352,157015648]),
[] ).
cnf(174428816,plain,
incident_c(ax0_sk1(sk14,sk16),sk15),
inference(resolution,[status(thm)],[170262584,170578304]),
[] ).
fof(part_of_transitivity_68,plain,
part_of(sk15,sk16),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO081-1.tptp',unknown),
[] ).
cnf(157011872,plain,
part_of(sk15,sk16),
inference(rewrite,[status(thm)],[part_of_transitivity_68]),
[] ).
cnf(170406200,plain,
( ~ incident_c(A,sk15)
| incident_c(A,sk16) ),
inference(resolution,[status(thm)],[156535064,157011872]),
[] ).
fof(part_of_defn_3,plain,
! [A,B] :
( ~ incident_c(ax0_sk1(A,B),B)
| part_of(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO081-1.tptp',unknown),
[] ).
cnf(156553704,plain,
( ~ incident_c(ax0_sk1(A,B),B)
| part_of(A,B) ),
inference(rewrite,[status(thm)],[part_of_defn_3]),
[] ).
cnf(170592248,plain,
~ incident_c(ax0_sk1(sk14,sk16),sk16),
inference(resolution,[status(thm)],[156553704,157015648]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[174428816,170406200,170592248]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(part_of_defn_1,plain,(~part_of(A,B)|~incident_c(C,A)|incident_c(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO081-1.tptp',unknown),[]).
%
% cnf(156535064,plain,(~part_of(A,B)|~incident_c(C,A)|incident_c(C,B)),inference(rewrite,[status(thm)],[part_of_defn_1]),[]).
%
% fof(part_of_transitivity_67,plain,(part_of(sk14,sk15)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO081-1.tptp',unknown),[]).
%
% cnf(157007264,plain,(part_of(sk14,sk15)),inference(rewrite,[status(thm)],[part_of_transitivity_67]),[]).
%
% cnf(170262584,plain,(~incident_c(A,sk14)|incident_c(A,sk15)),inference(resolution,[status(thm)],[156535064,157007264]),[]).
%
% fof(part_of_defn_2,plain,(incident_c(ax0_sk1(A,B),A)|part_of(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO081-1.tptp',unknown),[]).
%
% cnf(156542352,plain,(incident_c(ax0_sk1(A,B),A)|part_of(A,B)),inference(rewrite,[status(thm)],[part_of_defn_2]),[]).
%
% fof(part_of_transitivity_69,plain,(~part_of(sk14,sk16)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO081-1.tptp',unknown),[]).
%
% cnf(157015648,plain,(~part_of(sk14,sk16)),inference(rewrite,[status(thm)],[part_of_transitivity_69]),[]).
%
% cnf(170578304,plain,(incident_c(ax0_sk1(sk14,sk16),sk14)),inference(resolution,[status(thm)],[156542352,157015648]),[]).
%
% cnf(174428816,plain,(incident_c(ax0_sk1(sk14,sk16),sk15)),inference(resolution,[status(thm)],[170262584,170578304]),[]).
%
% fof(part_of_transitivity_68,plain,(part_of(sk15,sk16)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO081-1.tptp',unknown),[]).
%
% cnf(157011872,plain,(part_of(sk15,sk16)),inference(rewrite,[status(thm)],[part_of_transitivity_68]),[]).
%
% cnf(170406200,plain,(~incident_c(A,sk15)|incident_c(A,sk16)),inference(resolution,[status(thm)],[156535064,157011872]),[]).
%
% fof(part_of_defn_3,plain,(~incident_c(ax0_sk1(A,B),B)|part_of(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO081-1.tptp',unknown),[]).
%
% cnf(156553704,plain,(~incident_c(ax0_sk1(A,B),B)|part_of(A,B)),inference(rewrite,[status(thm)],[part_of_defn_3]),[]).
%
% cnf(170592248,plain,(~incident_c(ax0_sk1(sk14,sk16),sk16)),inference(resolution,[status(thm)],[156553704,157015648]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[174428816,170406200,170592248]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------