TSTP Solution File: GEO040-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO040-2 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art06.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 11:53:37 EDT 2009
% Result : Unsatisfiable 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 15 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-5 aty)
% Number of variables : 28 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(inner_pasch2,plain,
! [A,B,C,D,E] :
( ~ between(A,B,C)
| ~ between(D,E,C)
| between(E,inner_pasch(A,B,C,E,D),A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO040-2.tptp',unknown),
[] ).
cnf(156453608,plain,
( ~ between(A,B,C)
| ~ between(D,E,C)
| between(E,inner_pasch(A,B,C,E,D),A) ),
inference(rewrite,[status(thm)],[inner_pasch2]),
[] ).
fof(v_between_u_and_w,plain,
between(u,v,w),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO040-2.tptp',unknown),
[] ).
cnf(156353608,plain,
between(u,v,w),
inference(rewrite,[status(thm)],[v_between_u_and_w]),
[] ).
cnf(164480824,plain,
( ~ between(A,B,w)
| between(B,inner_pasch(u,v,w,B,A),u) ),
inference(resolution,[status(thm)],[156453608,156353608]),
[] ).
fof(u_between_v_and_w,plain,
between(v,u,w),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO040-2.tptp',unknown),
[] ).
cnf(156591448,plain,
between(v,u,w),
inference(rewrite,[status(thm)],[u_between_v_and_w]),
[] ).
cnf(165096336,plain,
between(u,inner_pasch(u,v,w,u,v),u),
inference(resolution,[status(thm)],[164480824,156591448]),
[] ).
fof(inner_pasch1,plain,
! [A,B,C,D,E] :
( ~ between(A,B,C)
| ~ between(D,E,C)
| between(B,inner_pasch(A,B,C,E,D),D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO040-2.tptp',unknown),
[] ).
cnf(156433472,plain,
( ~ between(A,B,C)
| ~ between(D,E,C)
| between(B,inner_pasch(A,B,C,E,D),D) ),
inference(rewrite,[status(thm)],[inner_pasch1]),
[] ).
cnf(164432112,plain,
( ~ between(A,B,w)
| between(v,inner_pasch(u,v,w,B,A),A) ),
inference(resolution,[status(thm)],[156433472,156353608]),
[] ).
cnf(165057312,plain,
between(v,inner_pasch(u,v,w,u,v),v),
inference(resolution,[status(thm)],[164432112,156591448]),
[] ).
fof(identity_for_betweeness,plain,
! [A,B] :
( ~ between(A,B,A)
| $equal(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO040-2.tptp',unknown),
[] ).
cnf(156409584,plain,
( ~ between(A,B,A)
| $equal(B,A) ),
inference(rewrite,[status(thm)],[identity_for_betweeness]),
[] ).
cnf(168574208,plain,
$equal(inner_pasch(u,v,w,u,v),v),
inference(resolution,[status(thm)],[165057312,156409584]),
[] ).
fof(prove_u_is_v,plain,
~ $equal(v,u),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO040-2.tptp',unknown),
[] ).
cnf(156595784,plain,
~ $equal(v,u),
inference(rewrite,[status(thm)],[prove_u_is_v]),
[] ).
cnf(165302296,plain,
~ between(u,v,u),
inference(resolution,[status(thm)],[156409584,156595784]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[165096336,168574208,165302296,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(inner_pasch2,plain,(~between(A,B,C)|~between(D,E,C)|between(E,inner_pasch(A,B,C,E,D),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO040-2.tptp',unknown),[]).
%
% cnf(156453608,plain,(~between(A,B,C)|~between(D,E,C)|between(E,inner_pasch(A,B,C,E,D),A)),inference(rewrite,[status(thm)],[inner_pasch2]),[]).
%
% fof(v_between_u_and_w,plain,(between(u,v,w)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO040-2.tptp',unknown),[]).
%
% cnf(156353608,plain,(between(u,v,w)),inference(rewrite,[status(thm)],[v_between_u_and_w]),[]).
%
% cnf(164480824,plain,(~between(A,B,w)|between(B,inner_pasch(u,v,w,B,A),u)),inference(resolution,[status(thm)],[156453608,156353608]),[]).
%
% fof(u_between_v_and_w,plain,(between(v,u,w)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO040-2.tptp',unknown),[]).
%
% cnf(156591448,plain,(between(v,u,w)),inference(rewrite,[status(thm)],[u_between_v_and_w]),[]).
%
% cnf(165096336,plain,(between(u,inner_pasch(u,v,w,u,v),u)),inference(resolution,[status(thm)],[164480824,156591448]),[]).
%
% fof(inner_pasch1,plain,(~between(A,B,C)|~between(D,E,C)|between(B,inner_pasch(A,B,C,E,D),D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO040-2.tptp',unknown),[]).
%
% cnf(156433472,plain,(~between(A,B,C)|~between(D,E,C)|between(B,inner_pasch(A,B,C,E,D),D)),inference(rewrite,[status(thm)],[inner_pasch1]),[]).
%
% cnf(164432112,plain,(~between(A,B,w)|between(v,inner_pasch(u,v,w,B,A),A)),inference(resolution,[status(thm)],[156433472,156353608]),[]).
%
% cnf(165057312,plain,(between(v,inner_pasch(u,v,w,u,v),v)),inference(resolution,[status(thm)],[164432112,156591448]),[]).
%
% fof(identity_for_betweeness,plain,(~between(A,B,A)|$equal(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO040-2.tptp',unknown),[]).
%
% cnf(156409584,plain,(~between(A,B,A)|$equal(B,A)),inference(rewrite,[status(thm)],[identity_for_betweeness]),[]).
%
% cnf(168574208,plain,($equal(inner_pasch(u,v,w,u,v),v)),inference(resolution,[status(thm)],[165057312,156409584]),[]).
%
% fof(prove_u_is_v,plain,(~$equal(v,u)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO040-2.tptp',unknown),[]).
%
% cnf(156595784,plain,(~$equal(v,u)),inference(rewrite,[status(thm)],[prove_u_is_v]),[]).
%
% cnf(165302296,plain,(~between(u,v,u)),inference(resolution,[status(thm)],[156409584,156595784]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[165096336,168574208,165302296,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------