TSTP Solution File: SYN028-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN028-1 : 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 16:38:00 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 12 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 6 ( 5 usr; 6 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(clause4,plain,
( ~ s
| ~ r
| t ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN028-1.tptp',unknown),
[] ).
fof(clause3,plain,
( ~ r
| s ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN028-1.tptp',unknown),
[] ).
cnf(155480240,plain,
( ~ r
| s ),
inference(rewrite,[status(thm)],[clause3]),
[] ).
cnf(155485072,plain,
( ~ r
| t ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause4,155480240]),
[] ).
fof(clause2,plain,
( ~ q
| r ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN028-1.tptp',unknown),
[] ).
cnf(155473800,plain,
( ~ q
| r ),
inference(rewrite,[status(thm)],[clause2]),
[] ).
fof(clause1,plain,
( q
| p ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN028-1.tptp',unknown),
[] ).
cnf(155467376,plain,
( q
| p ),
inference(rewrite,[status(thm)],[clause1]),
[] ).
fof(prove_something,plain,
~ p,
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN028-1.tptp',unknown),
[] ).
cnf(155495984,plain,
~ p,
inference(rewrite,[status(thm)],[prove_something]),
[] ).
cnf(162086848,plain,
q,
inference(resolution,[status(thm)],[155467376,155495984]),
[] ).
cnf(163286224,plain,
r,
inference(resolution,[status(thm)],[155473800,162086848]),
[] ).
cnf(163296896,plain,
t,
inference(resolution,[status(thm)],[155485072,163286224]),
[] ).
fof(clause5,plain,
( ~ t
| p ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN028-1.tptp',unknown),
[] ).
cnf(155491304,plain,
( ~ t
| p ),
inference(rewrite,[status(thm)],[clause5]),
[] ).
cnf(163280888,plain,
~ t,
inference(resolution,[status(thm)],[155491304,155495984]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[163296896,163280888]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause4,plain,(~s|~r|t),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN028-1.tptp',unknown),[]).
%
% fof(clause3,plain,(~r|s),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN028-1.tptp',unknown),[]).
%
% cnf(155480240,plain,(~r|s),inference(rewrite,[status(thm)],[clause3]),[]).
%
% cnf(155485072,plain,(~r|t),inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause4,155480240]),[]).
%
% fof(clause2,plain,(~q|r),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN028-1.tptp',unknown),[]).
%
% cnf(155473800,plain,(~q|r),inference(rewrite,[status(thm)],[clause2]),[]).
%
% fof(clause1,plain,(q|p),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN028-1.tptp',unknown),[]).
%
% cnf(155467376,plain,(q|p),inference(rewrite,[status(thm)],[clause1]),[]).
%
% fof(prove_something,plain,(~p),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN028-1.tptp',unknown),[]).
%
% cnf(155495984,plain,(~p),inference(rewrite,[status(thm)],[prove_something]),[]).
%
% cnf(162086848,plain,(q),inference(resolution,[status(thm)],[155467376,155495984]),[]).
%
% cnf(163286224,plain,(r),inference(resolution,[status(thm)],[155473800,162086848]),[]).
%
% cnf(163296896,plain,(t),inference(resolution,[status(thm)],[155485072,163286224]),[]).
%
% fof(clause5,plain,(~t|p),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN028-1.tptp',unknown),[]).
%
% cnf(155491304,plain,(~t|p),inference(rewrite,[status(thm)],[clause5]),[]).
%
% cnf(163280888,plain,(~t),inference(resolution,[status(thm)],[155491304,155495984]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[163296896,163280888]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------