TSTP Solution File: SYN008-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN008-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art10.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 16:37:25 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 8 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 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(clause_6,plain,
( ~ r
| p
| q ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN008-1.tptp',unknown),
[] ).
fof(clause_3,plain,
r,
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN008-1.tptp',unknown),
[] ).
cnf(146498744,plain,
r,
inference(rewrite,[status(thm)],[clause_3]),
[] ).
cnf(146518200,plain,
( p
| q ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause_6,146498744]),
[] ).
fof(clause_1,plain,
~ p,
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN008-1.tptp',unknown),
[] ).
cnf(146489064,plain,
~ p,
inference(rewrite,[status(thm)],[clause_1]),
[] ).
cnf(167471080,plain,
q,
inference(resolution,[status(thm)],[146518200,146489064]),
[] ).
fof(clause_2,plain,
~ q,
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN008-1.tptp',unknown),
[] ).
cnf(146493952,plain,
~ q,
inference(rewrite,[status(thm)],[clause_2]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[167471080,146493952]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_6,plain,(~r|p|q),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN008-1.tptp',unknown),[]).
%
% fof(clause_3,plain,(r),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN008-1.tptp',unknown),[]).
%
% cnf(146498744,plain,(r),inference(rewrite,[status(thm)],[clause_3]),[]).
%
% cnf(146518200,plain,(p|q),inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause_6,146498744]),[]).
%
% fof(clause_1,plain,(~p),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN008-1.tptp',unknown),[]).
%
% cnf(146489064,plain,(~p),inference(rewrite,[status(thm)],[clause_1]),[]).
%
% cnf(167471080,plain,(q),inference(resolution,[status(thm)],[146518200,146489064]),[]).
%
% fof(clause_2,plain,(~q),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN008-1.tptp',unknown),[]).
%
% cnf(146493952,plain,(~q),inference(rewrite,[status(thm)],[clause_2]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[167471080,146493952]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------