%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO080-1 : 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 11:54:54 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 4 unt; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
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/GEO080-1.tptp',unknown),
[] ).
cnf(152293240,plain,
( incident_c(ax0_sk1(A,B),A)
| part_of(A,B) ),
inference(rewrite,[status(thm)],[part_of_defn_2]),
[] ).
fof(prove_reflexivity,plain,
~ part_of(sk14,sk14),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO080-1.tptp',unknown),
[] ).
cnf(152750968,plain,
~ part_of(sk14,sk14),
inference(rewrite,[status(thm)],[prove_reflexivity]),
[] ).
cnf(160702064,plain,
incident_c(ax0_sk1(sk14,sk14),sk14),
inference(resolution,[status(thm)],[152293240,152750968]),
[] ).
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/GEO080-1.tptp',unknown),
[] ).
cnf(152300440,plain,
( ~ incident_c(ax0_sk1(A,B),B)
| part_of(A,B) ),
inference(rewrite,[status(thm)],[part_of_defn_3]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[160702064,152300440,152750968]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(part_of_defn_2,plain,(incident_c(ax0_sk1(A,B),A)|part_of(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO080-1.tptp',unknown),[]).
%
% cnf(152293240,plain,(incident_c(ax0_sk1(A,B),A)|part_of(A,B)),inference(rewrite,[status(thm)],[part_of_defn_2]),[]).
%
% fof(prove_reflexivity,plain,(~part_of(sk14,sk14)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO080-1.tptp',unknown),[]).
%
% cnf(152750968,plain,(~part_of(sk14,sk14)),inference(rewrite,[status(thm)],[prove_reflexivity]),[]).
%
% cnf(160702064,plain,(incident_c(ax0_sk1(sk14,sk14),sk14)),inference(resolution,[status(thm)],[152293240,152750968]),[]).
%
% fof(part_of_defn_3,plain,(~incident_c(ax0_sk1(A,B),B)|part_of(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO080-1.tptp',unknown),[]).
%
% cnf(152300440,plain,(~incident_c(ax0_sk1(A,B),B)|part_of(A,B)),inference(rewrite,[status(thm)],[part_of_defn_3]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[160702064,152300440,152750968]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------