TSTP Solution File: GEO087-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO087-1 : 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 11:55:45 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 35 ( 19 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 28 ( 1 sgn 12 !; 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/GEO087-1.tptp',unknown),
[] ).
cnf(166125896,plain,
( ~ part_of(A,B)
| ~ incident_c(C,A)
| incident_c(C,B) ),
inference(rewrite,[status(thm)],[part_of_defn_1]),
[] ).
fof(corollary_2_9_67,plain,
part_of(sk14,sk15),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO087-1.tptp',unknown),
[] ).
cnf(166598096,plain,
part_of(sk14,sk15),
inference(rewrite,[status(thm)],[corollary_2_9_67]),
[] ).
cnf(177191912,plain,
( ~ incident_c(A,sk14)
| incident_c(A,sk15) ),
inference(resolution,[status(thm)],[166125896,166598096]),
[] ).
fof(meet_defn_26,plain,
! [A,B,C,D] :
( ~ meet(A,B,C)
| ~ incident_c(D,B)
| ~ incident_c(D,C)
| end_point(D,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO087-1.tptp',unknown),
[] ).
cnf(166361128,plain,
( ~ meet(A,B,C)
| ~ incident_c(D,B)
| ~ incident_c(D,C)
| end_point(D,B) ),
inference(rewrite,[status(thm)],[meet_defn_26]),
[] ).
fof(corollary_2_9_68,plain,
meet(sk16,sk14,sk15),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO087-1.tptp',unknown),
[] ).
cnf(166603528,plain,
meet(sk16,sk14,sk15),
inference(rewrite,[status(thm)],[corollary_2_9_68]),
[] ).
cnf(177407528,plain,
( ~ incident_c(A,sk14)
| end_point(A,sk14) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[177191912,166361128,166603528]),
[] ).
fof(inner_point_defn_21,plain,
! [A,B] :
( ~ inner_point(A,B)
| incident_c(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO087-1.tptp',unknown),
[] ).
cnf(166119952,plain,
( ~ inner_point(A,B)
| incident_c(A,B) ),
inference(rewrite,[status(thm)],[inner_point_defn_21]),
[] ).
fof(c3_37,plain,
! [A] : inner_point(ax0_sk8(A),A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO087-1.tptp',unknown),
[] ).
cnf(166498592,plain,
inner_point(ax0_sk8(A),A),
inference(rewrite,[status(thm)],[c3_37]),
[] ).
cnf(177310552,plain,
incident_c(ax0_sk8(A),A),
inference(resolution,[status(thm)],[166119952,166498592]),
[] ).
cnf(180224224,plain,
end_point(ax0_sk8(sk14),sk14),
inference(resolution,[status(thm)],[177407528,177310552]),
[] ).
fof(inner_point_defn_22,plain,
! [A,B] :
( ~ inner_point(A,B)
| ~ end_point(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO087-1.tptp',unknown),
[] ).
cnf(166330384,plain,
( ~ inner_point(A,B)
| ~ end_point(A,B) ),
inference(rewrite,[status(thm)],[inner_point_defn_22]),
[] ).
cnf(177323064,plain,
~ end_point(ax0_sk8(A),A),
inference(resolution,[status(thm)],[166330384,166498592]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[180224224,177323064]),
[] ).
%------------------------------------------------------------------------------
%----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/GEO087-1.tptp',unknown),[]).
%
% cnf(166125896,plain,(~part_of(A,B)|~incident_c(C,A)|incident_c(C,B)),inference(rewrite,[status(thm)],[part_of_defn_1]),[]).
%
% fof(corollary_2_9_67,plain,(part_of(sk14,sk15)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO087-1.tptp',unknown),[]).
%
% cnf(166598096,plain,(part_of(sk14,sk15)),inference(rewrite,[status(thm)],[corollary_2_9_67]),[]).
%
% cnf(177191912,plain,(~incident_c(A,sk14)|incident_c(A,sk15)),inference(resolution,[status(thm)],[166125896,166598096]),[]).
%
% fof(meet_defn_26,plain,(~meet(A,B,C)|~incident_c(D,B)|~incident_c(D,C)|end_point(D,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO087-1.tptp',unknown),[]).
%
% cnf(166361128,plain,(~meet(A,B,C)|~incident_c(D,B)|~incident_c(D,C)|end_point(D,B)),inference(rewrite,[status(thm)],[meet_defn_26]),[]).
%
% fof(corollary_2_9_68,plain,(meet(sk16,sk14,sk15)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO087-1.tptp',unknown),[]).
%
% cnf(166603528,plain,(meet(sk16,sk14,sk15)),inference(rewrite,[status(thm)],[corollary_2_9_68]),[]).
%
% cnf(177407528,plain,(~incident_c(A,sk14)|end_point(A,sk14)),inference(forward_subsumption_resolution__resolution,[status(thm)],[177191912,166361128,166603528]),[]).
%
% fof(inner_point_defn_21,plain,(~inner_point(A,B)|incident_c(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO087-1.tptp',unknown),[]).
%
% cnf(166119952,plain,(~inner_point(A,B)|incident_c(A,B)),inference(rewrite,[status(thm)],[inner_point_defn_21]),[]).
%
% fof(c3_37,plain,(inner_point(ax0_sk8(A),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO087-1.tptp',unknown),[]).
%
% cnf(166498592,plain,(inner_point(ax0_sk8(A),A)),inference(rewrite,[status(thm)],[c3_37]),[]).
%
% cnf(177310552,plain,(incident_c(ax0_sk8(A),A)),inference(resolution,[status(thm)],[166119952,166498592]),[]).
%
% cnf(180224224,plain,(end_point(ax0_sk8(sk14),sk14)),inference(resolution,[status(thm)],[177407528,177310552]),[]).
%
% fof(inner_point_defn_22,plain,(~inner_point(A,B)|~end_point(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO087-1.tptp',unknown),[]).
%
% cnf(166330384,plain,(~inner_point(A,B)|~end_point(A,B)),inference(rewrite,[status(thm)],[inner_point_defn_22]),[]).
%
% cnf(177323064,plain,(~end_point(ax0_sk8(A),A)),inference(resolution,[status(thm)],[166330384,166498592]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[180224224,177323064]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------