%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN730+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 18:20:45 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 5 ( 3 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 13 ( 5 ~; 5 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 5 ( 1 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(thm75,plain,
! [A,C] :
( ( ~ p(A,j(A),C)
| p(a,j(A),h(j(A))) )
& ( p(A,j(A),k(j(A)))
| p(a,j(A),h(j(A))) )
& ( ~ p(A,j(A),C)
| ~ p(A,j(A),C) )
& ( p(A,j(A),k(j(A)))
| ~ p(A,j(A),C) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN730+1.tptp',unknown),
[] ).
cnf(170030784,plain,
~ p(A,j(A),C),
inference(rewrite,[status(thm)],[thm75]),
[] ).
cnf(170035408,plain,
( p(A,j(A),k(j(A)))
| p(a,j(A),h(j(A))) ),
inference(rewrite,[status(thm)],[thm75]),
[] ).
cnf(183064208,plain,
p(a,j(a),k(j(a))),
inference(resolution,[status(thm)],[170035408,170030784]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[170030784,183064208]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(thm75,plain,(((~p(A,j(A),C)|p(a,j(A),h(j(A))))&(p(A,j(A),k(j(A)))|p(a,j(A),h(j(A))))&(~p(A,j(A),C)|~p(A,j(A),C))&(p(A,j(A),k(j(A)))|~p(A,j(A),C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN730+1.tptp',unknown),[]).
%
% cnf(170030784,plain,(~p(A,j(A),C)),inference(rewrite,[status(thm)],[thm75]),[]).
%
% cnf(170035408,plain,(p(A,j(A),k(j(A)))|p(a,j(A),h(j(A)))),inference(rewrite,[status(thm)],[thm75]),[]).
%
% cnf(183064208,plain,(p(a,j(a),k(j(a)))),inference(resolution,[status(thm)],[170035408,170030784]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[170030784,183064208]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------