%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : COL083-1 : TPTP v3.4.2. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 11:34:08 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 5 unt; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 10 ( 2 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_birds_are_compatible_1,plain,
! [A,B] : ~ $equal(response(a,A),B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL083-1.tptp',unknown),
[] ).
cnf(154044696,plain,
~ $equal(response(a,A),B),
inference(rewrite,[status(thm)],[prove_birds_are_compatible_1]),
[] ).
fof(composer_exists,plain,
! [A,B,C] : $equal(response(A,response(B,C)),response(compose(A,B),C)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL083-1.tptp',unknown),
[] ).
cnf(154040024,plain,
$equal(response(A,response(B,C)),response(compose(A,B),C)),
inference(rewrite,[status(thm)],[composer_exists]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[154044696,154040024]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_birds_are_compatible_1,plain,(~$equal(response(a,A),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL083-1.tptp',unknown),[]).
%
% cnf(154044696,plain,(~$equal(response(a,A),B)),inference(rewrite,[status(thm)],[prove_birds_are_compatible_1]),[]).
%
% fof(composer_exists,plain,($equal(response(A,response(B,C)),response(compose(A,B),C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL083-1.tptp',unknown),[]).
%
% cnf(154040024,plain,($equal(response(A,response(B,C)),response(compose(A,B),C))),inference(rewrite,[status(thm)],[composer_exists]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[154044696,154040024]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------