%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : COL052-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art07.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 11:32:42 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_a_is_agreeable,plain,
! [A] : ~ $equal(response(odd_bird,A),response(a,A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL052-1.tptp',unknown),
[] ).
cnf(155563464,plain,
~ $equal(response(odd_bird,A),response(a,A)),
inference(rewrite,[status(thm)],[prove_a_is_agreeable]),
[] ).
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/COL052-1.tptp',unknown),
[] ).
cnf(155554592,plain,
$equal(response(A,response(B,C)),response(compose(A,B),C)),
inference(rewrite,[status(thm)],[composer_exists]),
[] ).
cnf(163406272,plain,
~ $equal(response(odd_bird,response(A,B)),response(compose(a,A),B)),
inference(paramodulation,[status(thm)],[155563464,155554592,theory(equality)]),
[] ).
fof(c_composes_a_with_b,plain,
$equal(compose(a,b),c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL052-1.tptp',unknown),
[] ).
cnf(155571624,plain,
$equal(compose(a,b),c),
inference(rewrite,[status(thm)],[c_composes_a_with_b]),
[] ).
cnf(163466288,plain,
~ $equal(response(odd_bird,response(b,A)),response(c,A)),
inference(paramodulation,[status(thm)],[163406272,155571624,theory(equality)]),
[] ).
fof(agreeable1,plain,
! [A] : $equal(response(c,common_bird(A)),response(A,common_bird(A))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL052-1.tptp',unknown),
[] ).
cnf(155558776,plain,
$equal(response(c,common_bird(A)),response(A,common_bird(A))),
inference(rewrite,[status(thm)],[agreeable1]),
[] ).
cnf(163687872,plain,
~ $equal(response(odd_bird,response(b,common_bird(A))),response(A,common_bird(A))),
inference(paramodulation,[status(thm)],[163466288,155558776,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[163687872,155554592]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_a_is_agreeable,plain,(~$equal(response(odd_bird,A),response(a,A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL052-1.tptp',unknown),[]).
%
% cnf(155563464,plain,(~$equal(response(odd_bird,A),response(a,A))),inference(rewrite,[status(thm)],[prove_a_is_agreeable]),[]).
%
% fof(composer_exists,plain,($equal(response(A,response(B,C)),response(compose(A,B),C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL052-1.tptp',unknown),[]).
%
% cnf(155554592,plain,($equal(response(A,response(B,C)),response(compose(A,B),C))),inference(rewrite,[status(thm)],[composer_exists]),[]).
%
% cnf(163406272,plain,(~$equal(response(odd_bird,response(A,B)),response(compose(a,A),B))),inference(paramodulation,[status(thm)],[155563464,155554592,theory(equality)]),[]).
%
% fof(c_composes_a_with_b,plain,($equal(compose(a,b),c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL052-1.tptp',unknown),[]).
%
% cnf(155571624,plain,($equal(compose(a,b),c)),inference(rewrite,[status(thm)],[c_composes_a_with_b]),[]).
%
% cnf(163466288,plain,(~$equal(response(odd_bird,response(b,A)),response(c,A))),inference(paramodulation,[status(thm)],[163406272,155571624,theory(equality)]),[]).
%
% fof(agreeable1,plain,($equal(response(c,common_bird(A)),response(A,common_bird(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL052-1.tptp',unknown),[]).
%
% cnf(155558776,plain,($equal(response(c,common_bird(A)),response(A,common_bird(A)))),inference(rewrite,[status(thm)],[agreeable1]),[]).
%
% cnf(163687872,plain,(~$equal(response(odd_bird,response(b,common_bird(A))),response(A,common_bird(A)))),inference(paramodulation,[status(thm)],[163466288,155558776,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[163687872,155554592]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------