TSTP Solution File: LCL230+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL230+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art06.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 13:46:57 EDT 2009
% Result : Theorem 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 4 unt; 0 def)
% Number of atoms : 253 ( 0 equ)
% Maximal formula atoms : 240 ( 28 avg)
% Number of connectives : 390 ( 146 ~; 165 |; 79 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 83 ( 11 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(pel5,plain,
( ( ~ p
| ~ p
| ~ p )
& ( q
| ~ p
| ~ p )
& ( ~ r
| ~ p
| ~ p )
& ( r
| ~ p
| ~ p )
& ( ~ p
| q
| ~ p )
& ( q
| q
| ~ p )
& ( ~ r
| q
| ~ p )
& ( r
| q
| ~ p )
& ( ~ p
| ~ r
| ~ p )
& ( q
| ~ r
| ~ p )
& ( ~ r
| ~ r
| ~ p )
& ( r
| ~ r
| ~ p )
& ( ~ p
| p
| ~ p )
& ( q
| p
| ~ p )
& ( ~ r
| p
| ~ p )
& ( r
| p
| ~ p )
& ( ~ p
| ~ p
| ~ q )
& ( q
| ~ p
| ~ q )
& ( ~ r
| ~ p
| ~ q )
& ( r
| ~ p
| ~ q )
& ( ~ p
| q
| ~ q )
& ( q
| q
| ~ q )
& ( ~ r
| q
| ~ q )
& ( r
| q
| ~ q )
& ( ~ p
| ~ r
| ~ q )
& ( q
| ~ r
| ~ q )
& ( ~ r
| ~ r
| ~ q )
& ( r
| ~ r
| ~ q )
& ( ~ p
| p
| ~ q )
& ( q
| p
| ~ q )
& ( ~ r
| p
| ~ q )
& ( r
| p
| ~ q )
& ( ~ p
| ~ p
| ~ p )
& ( q
| ~ p
| ~ p )
& ( ~ r
| ~ p
| ~ p )
& ( r
| ~ p
| ~ p )
& ( ~ p
| q
| ~ p )
& ( q
| q
| ~ p )
& ( ~ r
| q
| ~ p )
& ( r
| q
| ~ p )
& ( ~ p
| ~ r
| ~ p )
& ( q
| ~ r
| ~ p )
& ( ~ r
| ~ r
| ~ p )
& ( r
| ~ r
| ~ p )
& ( ~ p
| p
| ~ p )
& ( q
| p
| ~ p )
& ( ~ r
| p
| ~ p )
& ( r
| p
| ~ p )
& ( ~ p
| ~ p
| q )
& ( q
| ~ p
| q )
& ( ~ r
| ~ p
| q )
& ( r
| ~ p
| q )
& ( ~ p
| q
| q )
& ( q
| q
| q )
& ( ~ r
| q
| q )
& ( r
| q
| q )
& ( ~ p
| ~ r
| q )
& ( q
| ~ r
| q )
& ( ~ r
| ~ r
| q )
& ( r
| ~ r
| q )
& ( ~ p
| p
| q )
& ( q
| p
| q )
& ( ~ r
| p
| q )
& ( r
| p
| q )
& ( ~ p
| ~ p
| ~ r )
& ( q
| ~ p
| ~ r )
& ( ~ r
| ~ p
| ~ r )
& ( r
| ~ p
| ~ r )
& ( ~ p
| q
| ~ r )
& ( q
| q
| ~ r )
& ( ~ r
| q
| ~ r )
& ( r
| q
| ~ r )
& ( ~ p
| ~ r
| ~ r )
& ( q
| ~ r
| ~ r )
& ( ~ r
| ~ r
| ~ r )
& ( r
| ~ r
| ~ r )
& ( ~ p
| p
| ~ r )
& ( q
| p
| ~ r )
& ( ~ r
| p
| ~ r )
& ( r
| p
| ~ r ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL230+1.tptp',unknown),
[] ).
cnf(158143816,plain,
( r
| ~ p ),
inference(rewrite,[status(thm)],[pel5]),
[] ).
cnf(158122920,plain,
( r
| p
| q ),
inference(rewrite,[status(thm)],[pel5]),
[] ).
cnf(158129192,plain,
( p
| q ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[pel5,158122920]),
[] ).
cnf(158152248,plain,
( r
| p ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[pel5,158129192]),
[] ).
cnf(158155856,plain,
p,
inference(rewrite__forward_subsumption_resolution,[status(thm)],[pel5,158129192,158152248]),
[] ).
cnf(197335880,plain,
r,
inference(resolution,[status(thm)],[158143816,158155856]),
[] ).
cnf(158114696,plain,
~ r,
inference(rewrite,[status(thm)],[pel5]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[197335880,158114696]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel5,plain,(((~p|~p|~p)&(q|~p|~p)&(~r|~p|~p)&(r|~p|~p)&(~p|q|~p)&(q|q|~p)&(~r|q|~p)&(r|q|~p)&(~p|~r|~p)&(q|~r|~p)&(~r|~r|~p)&(r|~r|~p)&(~p|p|~p)&(q|p|~p)&(~r|p|~p)&(r|p|~p)&(~p|~p|~q)&(q|~p|~q)&(~r|~p|~q)&(r|~p|~q)&(~p|q|~q)&(q|q|~q)&(~r|q|~q)&(r|q|~q)&(~p|~r|~q)&(q|~r|~q)&(~r|~r|~q)&(r|~r|~q)&(~p|p|~q)&(q|p|~q)&(~r|p|~q)&(r|p|~q)&(~p|~p|~p)&(q|~p|~p)&(~r|~p|~p)&(r|~p|~p)&(~p|q|~p)&(q|q|~p)&(~r|q|~p)&(r|q|~p)&(~p|~r|~p)&(q|~r|~p)&(~r|~r|~p)&(r|~r|~p)&(~p|p|~p)&(q|p|~p)&(~r|p|~p)&(r|p|~p)&(~p|~p|q)&(q|~p|q)&(~r|~p|q)&(r|~p|q)&(~p|q|q)&(q|q|q)&(~r|q|q)&(r|q|q)&(~p|~r|q)&(q|~r|q)&(~r|~r|q)&(r|~r|q)&(~p|p|q)&(q|p|q)&(~r|p|q)&(r|p|q)&(~p|~p|~r)&(q|~p|~r)&(~r|~p|~r)&(r|~p|~r)&(~p|q|~r)&(q|q|~r)&(~r|q|~r)&(r|q|~r)&(~p|~r|~r)&(q|~r|~r)&(~r|~r|~r)&(r|~r|~r)&(~p|p|~r)&(q|p|~r)&(~r|p|~r)&(r|p|~r))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL230+1.tptp',unknown),[]).
%
% cnf(158143816,plain,(r|~p),inference(rewrite,[status(thm)],[pel5]),[]).
%
% cnf(158122920,plain,(r|p|q),inference(rewrite,[status(thm)],[pel5]),[]).
%
% cnf(158129192,plain,(p|q),inference(rewrite__forward_subsumption_resolution,[status(thm)],[pel5,158122920]),[]).
%
% cnf(158152248,plain,(r|p),inference(rewrite__forward_subsumption_resolution,[status(thm)],[pel5,158129192]),[]).
%
% cnf(158155856,plain,(p),inference(rewrite__forward_subsumption_resolution,[status(thm)],[pel5,158129192,158152248]),[]).
%
% cnf(197335880,plain,(r),inference(resolution,[status(thm)],[158143816,158155856]),[]).
%
% cnf(158114696,plain,(~r),inference(rewrite,[status(thm)],[pel5]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[197335880,158114696]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------