TSTP Solution File: GEO038-3 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO038-3 : 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 11:53:32 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-4 aty)
% Number of variables : 8 ( 2 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(segment_construction1,plain,
! [A,B,C,D] : between(A,B,extension(A,B,C,D)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO038-3.tptp',unknown),
[] ).
cnf(158062264,plain,
between(A,B,extension(A,B,C,D)),
inference(rewrite,[status(thm)],[segment_construction1]),
[] ).
fof(prove_corollary,plain,
~ between(u,v,y),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO038-3.tptp',unknown),
[] ).
cnf(158330160,plain,
~ between(u,v,y),
inference(rewrite,[status(thm)],[prove_corollary]),
[] ).
fof(y_is_extension,plain,
$equal(extension(u,v,w,x),y),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO038-3.tptp',unknown),
[] ).
cnf(158326264,plain,
$equal(extension(u,v,w,x),y),
inference(rewrite,[status(thm)],[y_is_extension]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[158062264,158330160,158326264,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(segment_construction1,plain,(between(A,B,extension(A,B,C,D))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO038-3.tptp',unknown),[]).
%
% cnf(158062264,plain,(between(A,B,extension(A,B,C,D))),inference(rewrite,[status(thm)],[segment_construction1]),[]).
%
% fof(prove_corollary,plain,(~between(u,v,y)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO038-3.tptp',unknown),[]).
%
% cnf(158330160,plain,(~between(u,v,y)),inference(rewrite,[status(thm)],[prove_corollary]),[]).
%
% fof(y_is_extension,plain,($equal(extension(u,v,w,x),y)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO038-3.tptp',unknown),[]).
%
% cnf(158326264,plain,($equal(extension(u,v,w,x),y)),inference(rewrite,[status(thm)],[y_is_extension]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[158062264,158330160,158326264,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------