TSTP Solution File: COL052-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : COL052-2 : 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 11:32:44 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 14 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(agreeable1,plain,
! [A,B] :
( ~ agreeable(A)
| $equal(response(B,common_bird(B)),response(A,common_bird(B))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL052-2.tptp',unknown),
[] ).
cnf(162761400,plain,
( ~ agreeable(A)
| $equal(response(B,common_bird(B)),response(A,common_bird(B))) ),
inference(rewrite,[status(thm)],[agreeable1]),
[] ).
fof(c_is_agreeable,plain,
agreeable(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL052-2.tptp',unknown),
[] ).
cnf(162776832,plain,
agreeable(c),
inference(rewrite,[status(thm)],[c_is_agreeable]),
[] ).
cnf(170567616,plain,
$equal(response(A,common_bird(A)),response(c,common_bird(A))),
inference(resolution,[status(thm)],[162761400,162776832]),
[] ).
fof(c_composes_a_with_b,plain,
$equal(compose(a,b),c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL052-2.tptp',unknown),
[] ).
cnf(162784808,plain,
$equal(compose(a,b),c),
inference(rewrite,[status(thm)],[c_composes_a_with_b]),
[] ).
cnf(171072936,plain,
$equal(response(A,common_bird(A)),response(compose(a,b),common_bird(A))),
inference(paramodulation,[status(thm)],[170567616,162784808,theory(equality)]),
[] ).
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/COL052-2.tptp',unknown),
[] ).
cnf(162737456,plain,
$equal(response(A,response(B,C)),response(compose(A,B),C)),
inference(rewrite,[status(thm)],[composer_exists]),
[] ).
cnf(171394720,plain,
$equal(response(A,common_bird(A)),response(a,response(b,common_bird(A)))),
inference(paramodulation,[status(thm)],[171072936,162737456,theory(equality)]),
[] ).
fof(agreeable2,plain,
! [A,B] :
( ~ $equal(response(compatible(A),B),response(A,B))
| agreeable(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL052-2.tptp',unknown),
[] ).
cnf(162768016,plain,
( ~ $equal(response(compatible(A),B),response(A,B))
| agreeable(A) ),
inference(rewrite,[status(thm)],[agreeable2]),
[] ).
fof(prove_a_is_agreeable,plain,
~ agreeable(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL052-2.tptp',unknown),
[] ).
cnf(162780832,plain,
~ agreeable(a),
inference(rewrite,[status(thm)],[prove_a_is_agreeable]),
[] ).
cnf(170596752,plain,
~ $equal(response(compatible(a),A),response(a,A)),
inference(resolution,[status(thm)],[162768016,162780832]),
[] ).
cnf(170727936,plain,
~ $equal(response(compose(compatible(a),A),B),response(a,response(A,B))),
inference(paramodulation,[status(thm)],[170596752,162737456,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[171394720,170727936]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(agreeable1,plain,(~agreeable(A)|$equal(response(B,common_bird(B)),response(A,common_bird(B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL052-2.tptp',unknown),[]).
%
% cnf(162761400,plain,(~agreeable(A)|$equal(response(B,common_bird(B)),response(A,common_bird(B)))),inference(rewrite,[status(thm)],[agreeable1]),[]).
%
% fof(c_is_agreeable,plain,(agreeable(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL052-2.tptp',unknown),[]).
%
% cnf(162776832,plain,(agreeable(c)),inference(rewrite,[status(thm)],[c_is_agreeable]),[]).
%
% cnf(170567616,plain,($equal(response(A,common_bird(A)),response(c,common_bird(A)))),inference(resolution,[status(thm)],[162761400,162776832]),[]).
%
% fof(c_composes_a_with_b,plain,($equal(compose(a,b),c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL052-2.tptp',unknown),[]).
%
% cnf(162784808,plain,($equal(compose(a,b),c)),inference(rewrite,[status(thm)],[c_composes_a_with_b]),[]).
%
% cnf(171072936,plain,($equal(response(A,common_bird(A)),response(compose(a,b),common_bird(A)))),inference(paramodulation,[status(thm)],[170567616,162784808,theory(equality)]),[]).
%
% fof(composer_exists,plain,($equal(response(A,response(B,C)),response(compose(A,B),C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL052-2.tptp',unknown),[]).
%
% cnf(162737456,plain,($equal(response(A,response(B,C)),response(compose(A,B),C))),inference(rewrite,[status(thm)],[composer_exists]),[]).
%
% cnf(171394720,plain,($equal(response(A,common_bird(A)),response(a,response(b,common_bird(A))))),inference(paramodulation,[status(thm)],[171072936,162737456,theory(equality)]),[]).
%
% fof(agreeable2,plain,(~$equal(response(compatible(A),B),response(A,B))|agreeable(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL052-2.tptp',unknown),[]).
%
% cnf(162768016,plain,(~$equal(response(compatible(A),B),response(A,B))|agreeable(A)),inference(rewrite,[status(thm)],[agreeable2]),[]).
%
% fof(prove_a_is_agreeable,plain,(~agreeable(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL052-2.tptp',unknown),[]).
%
% cnf(162780832,plain,(~agreeable(a)),inference(rewrite,[status(thm)],[prove_a_is_agreeable]),[]).
%
% cnf(170596752,plain,(~$equal(response(compatible(a),A),response(a,A))),inference(resolution,[status(thm)],[162768016,162780832]),[]).
%
% cnf(170727936,plain,(~$equal(response(compose(compatible(a),A),B),response(a,response(A,B)))),inference(paramodulation,[status(thm)],[170596752,162737456,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[171394720,170727936]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------