TSTP Solution File: SYN002-1.007.008 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN002-1.007.008 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.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 16:36:53 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 4 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 10 ( 2 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(negative,plain,
! [A] :
( ~ p(A)
| ~ p(f(f(f(f(f(f(f(f(A))))))))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN002-1.007.008.tptp',unknown),
[] ).
cnf(168381872,plain,
( ~ p(A)
| ~ p(f(f(f(f(f(f(f(f(A))))))))) ),
inference(rewrite,[status(thm)],[negative]),
[] ).
fof(positive,plain,
! [A] :
( p(A)
| p(f(f(f(f(f(f(f(A)))))))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN002-1.007.008.tptp',unknown),
[] ).
cnf(168375208,plain,
( p(A)
| p(f(f(f(f(f(f(f(A)))))))) ),
inference(rewrite,[status(thm)],[positive]),
[] ).
cnf(178742584,plain,
( ~ p(f(f(f(f(f(f(f(f(A)))))))))
| p(f(f(f(f(f(f(f(A)))))))) ),
inference(resolution,[status(thm)],[168381872,168375208]),
[] ).
cnf(178797384,plain,
( p(f(f(f(f(f(f(f(A))))))))
| p(f(A)) ),
inference(resolution,[status(thm)],[178742584,168375208]),
[] ).
cnf(178835352,plain,
( p(f(f(A)))
| ~ p(A) ),
inference(resolution,[status(thm)],[178797384,168381872]),
[] ).
cnf(178865920,plain,
( ~ p(A)
| p(f(f(f(f(A))))) ),
inference(resolution,[status(thm)],[178835352,178835352]),
[] ).
cnf(178966000,plain,
~ p(A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[178865920,178865920,168381872]),
[] ).
cnf(178992112,plain,
p(A),
inference(resolution,[status(thm)],[178966000,168375208]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[178992112,178966000]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(negative,plain,(~p(A)|~p(f(f(f(f(f(f(f(f(A)))))))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN002-1.007.008.tptp',unknown),[]).
%
% cnf(168381872,plain,(~p(A)|~p(f(f(f(f(f(f(f(f(A)))))))))),inference(rewrite,[status(thm)],[negative]),[]).
%
% fof(positive,plain,(p(A)|p(f(f(f(f(f(f(f(A))))))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN002-1.007.008.tptp',unknown),[]).
%
% cnf(168375208,plain,(p(A)|p(f(f(f(f(f(f(f(A))))))))),inference(rewrite,[status(thm)],[positive]),[]).
%
% cnf(178742584,plain,(~p(f(f(f(f(f(f(f(f(A)))))))))|p(f(f(f(f(f(f(f(A))))))))),inference(resolution,[status(thm)],[168381872,168375208]),[]).
%
% cnf(178797384,plain,(p(f(f(f(f(f(f(f(A))))))))|p(f(A))),inference(resolution,[status(thm)],[178742584,168375208]),[]).
%
% cnf(178835352,plain,(p(f(f(A)))|~p(A)),inference(resolution,[status(thm)],[178797384,168381872]),[]).
%
% cnf(178865920,plain,(~p(A)|p(f(f(f(f(A)))))),inference(resolution,[status(thm)],[178835352,178835352]),[]).
%
% cnf(178966000,plain,(~p(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[178865920,178865920,168381872]),[]).
%
% cnf(178992112,plain,(p(A)),inference(resolution,[status(thm)],[178966000,168375208]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[178992112,178966000]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------