TSTP Solution File: SYN044+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN044+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.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 16:38:48 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 4 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 36 ( 14 ~; 18 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 4 ( 3 usr; 4 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel10_3,plain,
( ~ p
| q
| r ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044+1.tptp',unknown),
[] ).
cnf(164613912,plain,
( ~ p
| q
| r ),
inference(rewrite,[status(thm)],[pel10_3]),
[] ).
fof(pel10_2,plain,
( ( q
| ~ r )
& ( p
| ~ r ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044+1.tptp',unknown),
[] ).
cnf(164599832,plain,
( p
| ~ r ),
inference(rewrite,[status(thm)],[pel10_2]),
[] ).
fof(pel10_1,plain,
( ~ q
| r ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044+1.tptp',unknown),
[] ).
cnf(164593504,plain,
( ~ q
| r ),
inference(rewrite,[status(thm)],[pel10_1]),
[] ).
fof(pel10,plain,
( ( q
| p )
& ( ~ p
| p )
& ( q
| ~ q )
& ( ~ p
| ~ q ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044+1.tptp',unknown),
[] ).
cnf(164651984,plain,
( q
| p ),
inference(rewrite,[status(thm)],[pel10]),
[] ).
cnf(175032464,plain,
( r
| p ),
inference(resolution,[status(thm)],[164593504,164651984]),
[] ).
cnf(175036896,plain,
p,
inference(resolution,[status(thm)],[164599832,175032464]),
[] ).
cnf(175044616,plain,
( q
| r ),
inference(resolution,[status(thm)],[164613912,175036896]),
[] ).
cnf(175048960,plain,
r,
inference(resolution,[status(thm)],[175044616,164593504]),
[] ).
cnf(164606128,plain,
( q
| ~ r ),
inference(rewrite,[status(thm)],[pel10_2]),
[] ).
cnf(175054216,plain,
q,
inference(resolution,[status(thm)],[175048960,164606128]),
[] ).
cnf(164647328,plain,
( ~ p
| ~ q ),
inference(rewrite,[status(thm)],[pel10]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[175054216,164647328,175036896]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel10_3,plain,(~p|q|r),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044+1.tptp',unknown),[]).
%
% cnf(164613912,plain,(~p|q|r),inference(rewrite,[status(thm)],[pel10_3]),[]).
%
% fof(pel10_2,plain,(((q|~r)&(p|~r))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044+1.tptp',unknown),[]).
%
% cnf(164599832,plain,(p|~r),inference(rewrite,[status(thm)],[pel10_2]),[]).
%
% fof(pel10_1,plain,(~q|r),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044+1.tptp',unknown),[]).
%
% cnf(164593504,plain,(~q|r),inference(rewrite,[status(thm)],[pel10_1]),[]).
%
% fof(pel10,plain,(((q|p)&(~p|p)&(q|~q)&(~p|~q))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044+1.tptp',unknown),[]).
%
% cnf(164651984,plain,(q|p),inference(rewrite,[status(thm)],[pel10]),[]).
%
% cnf(175032464,plain,(r|p),inference(resolution,[status(thm)],[164593504,164651984]),[]).
%
% cnf(175036896,plain,(p),inference(resolution,[status(thm)],[164599832,175032464]),[]).
%
% cnf(175044616,plain,(q|r),inference(resolution,[status(thm)],[164613912,175036896]),[]).
%
% cnf(175048960,plain,(r),inference(resolution,[status(thm)],[175044616,164593504]),[]).
%
% cnf(164606128,plain,(q|~r),inference(rewrite,[status(thm)],[pel10_2]),[]).
%
% cnf(175054216,plain,(q),inference(resolution,[status(thm)],[175048960,164606128]),[]).
%
% cnf(164647328,plain,(~p|~q),inference(rewrite,[status(thm)],[pel10]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[175054216,164647328,175036896]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------