%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN728-1 : TPTP v3.4.2. Released v2.5.0.
% 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 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 18:20:37 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 19 ( 7 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(thm69_4,plain,
! [A] :
( ~ m(g(A))
| ~ q(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN728-1.tptp',unknown),
[] ).
cnf(146604472,plain,
( ~ m(g(A))
| ~ q(A) ),
inference(rewrite,[status(thm)],[thm69_4]),
[] ).
fof(thm69_1,plain,
! [A,B,C] :
( p(A,A)
| ~ p(B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN728-1.tptp',unknown),
[] ).
cnf(146584944,plain,
( p(A,A)
| ~ p(B,C) ),
inference(rewrite,[status(thm)],[thm69_1]),
[] ).
fof(thm69_5,plain,
! [A] :
( ~ p(sk2,sk2)
| ~ p(g(sk2),A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN728-1.tptp',unknown),
[] ).
cnf(146613496,plain,
~ p(g(sk2),A),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[thm69_5,146584944]),
[] ).
cnf(164896016,plain,
~ p(A,B),
inference(resolution,[status(thm)],[146584944,146613496]),
[] ).
fof(thm69_2,plain,
! [A] :
( m(A)
| p(A,sk1(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN728-1.tptp',unknown),
[] ).
cnf(146591512,plain,
( m(A)
| p(A,sk1(A)) ),
inference(rewrite,[status(thm)],[thm69_2]),
[] ).
cnf(164932952,plain,
m(A),
inference(resolution,[status(thm)],[164896016,146591512]),
[] ).
cnf(164941792,plain,
~ q(A),
inference(resolution,[status(thm)],[146604472,164932952]),
[] ).
fof(thm69_3,plain,
! [A] :
( q(f(A,sk1(A)))
| p(A,sk1(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN728-1.tptp',unknown),
[] ).
cnf(146598080,plain,
( q(f(A,sk1(A)))
| p(A,sk1(A)) ),
inference(rewrite,[status(thm)],[thm69_3]),
[] ).
cnf(164937432,plain,
q(f(A,sk1(A))),
inference(resolution,[status(thm)],[164896016,146598080]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[164941792,164937432]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(thm69_4,plain,(~m(g(A))|~q(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN728-1.tptp',unknown),[]).
%
% cnf(146604472,plain,(~m(g(A))|~q(A)),inference(rewrite,[status(thm)],[thm69_4]),[]).
%
% fof(thm69_1,plain,(p(A,A)|~p(B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN728-1.tptp',unknown),[]).
%
% cnf(146584944,plain,(p(A,A)|~p(B,C)),inference(rewrite,[status(thm)],[thm69_1]),[]).
%
% fof(thm69_5,plain,(~p(sk2,sk2)|~p(g(sk2),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN728-1.tptp',unknown),[]).
%
% cnf(146613496,plain,(~p(g(sk2),A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[thm69_5,146584944]),[]).
%
% cnf(164896016,plain,(~p(A,B)),inference(resolution,[status(thm)],[146584944,146613496]),[]).
%
% fof(thm69_2,plain,(m(A)|p(A,sk1(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN728-1.tptp',unknown),[]).
%
% cnf(146591512,plain,(m(A)|p(A,sk1(A))),inference(rewrite,[status(thm)],[thm69_2]),[]).
%
% cnf(164932952,plain,(m(A)),inference(resolution,[status(thm)],[164896016,146591512]),[]).
%
% cnf(164941792,plain,(~q(A)),inference(resolution,[status(thm)],[146604472,164932952]),[]).
%
% fof(thm69_3,plain,(q(f(A,sk1(A)))|p(A,sk1(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN728-1.tptp',unknown),[]).
%
% cnf(146598080,plain,(q(f(A,sk1(A)))|p(A,sk1(A))),inference(rewrite,[status(thm)],[thm69_3]),[]).
%
% cnf(164937432,plain,(q(f(A,sk1(A)))),inference(resolution,[status(thm)],[164896016,146598080]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[164941792,164937432]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------