TSTP Solution File: KRS093+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS093+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 13:27:01 EDT 2009
% Result : Unsatisfiable 0.0s
% Output : Refutation 0.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 28 ( 14 ~; 12 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_6,plain,
! [A] :
( ~ ce3(A)
| cc(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS093+1.tptp',unknown),
[] ).
cnf(159557080,plain,
( ~ ce3(A)
| cc(A) ),
inference(rewrite,[status(thm)],[axiom_6]),
[] ).
fof(axiom_2,plain,
! [A] :
( ( ce3(A)
| ~ cunsatisfiable(A) )
& ( cf(A)
| ~ cunsatisfiable(A) )
& ( cunsatisfiable(A)
| ~ cf(A)
| ~ ce3(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS093+1.tptp',unknown),
[] ).
cnf(159527848,plain,
( ce3(A)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
fof(axiom_8,plain,
cunsatisfiable(i2003_11_14_17_20_07201),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS093+1.tptp',unknown),
[] ).
cnf(159572088,plain,
cunsatisfiable(i2003_11_14_17_20_07201),
inference(rewrite,[status(thm)],[axiom_8]),
[] ).
cnf(164770176,plain,
ce3(i2003_11_14_17_20_07201),
inference(resolution,[status(thm)],[159527848,159572088]),
[] ).
cnf(164793104,plain,
cc(i2003_11_14_17_20_07201),
inference(resolution,[status(thm)],[159557080,164770176]),
[] ).
fof(axiom_3,plain,
! [A] :
( ~ cc(A)
| ~ cd(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS093+1.tptp',unknown),
[] ).
cnf(159534480,plain,
( ~ cc(A)
| ~ cd(A) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
fof(axiom_7,plain,
! [A] :
( ~ cf(A)
| cd(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS093+1.tptp',unknown),
[] ).
cnf(159563792,plain,
( ~ cf(A)
| cd(A) ),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
cnf(159521184,plain,
( cf(A)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(164761992,plain,
cf(i2003_11_14_17_20_07201),
inference(resolution,[status(thm)],[159521184,159572088]),
[] ).
cnf(164779208,plain,
cd(i2003_11_14_17_20_07201),
inference(resolution,[status(thm)],[159563792,164761992]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[164793104,159534480,164779208]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_6,plain,(~ce3(A)|cc(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS093+1.tptp',unknown),[]).
%
% cnf(159557080,plain,(~ce3(A)|cc(A)),inference(rewrite,[status(thm)],[axiom_6]),[]).
%
% fof(axiom_2,plain,(((ce3(A)|~cunsatisfiable(A))&(cf(A)|~cunsatisfiable(A))&(cunsatisfiable(A)|~cf(A)|~ce3(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS093+1.tptp',unknown),[]).
%
% cnf(159527848,plain,(ce3(A)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% fof(axiom_8,plain,(cunsatisfiable(i2003_11_14_17_20_07201)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS093+1.tptp',unknown),[]).
%
% cnf(159572088,plain,(cunsatisfiable(i2003_11_14_17_20_07201)),inference(rewrite,[status(thm)],[axiom_8]),[]).
%
% cnf(164770176,plain,(ce3(i2003_11_14_17_20_07201)),inference(resolution,[status(thm)],[159527848,159572088]),[]).
%
% cnf(164793104,plain,(cc(i2003_11_14_17_20_07201)),inference(resolution,[status(thm)],[159557080,164770176]),[]).
%
% fof(axiom_3,plain,(~cc(A)|~cd(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS093+1.tptp',unknown),[]).
%
% cnf(159534480,plain,(~cc(A)|~cd(A)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% fof(axiom_7,plain,(~cf(A)|cd(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS093+1.tptp',unknown),[]).
%
% cnf(159563792,plain,(~cf(A)|cd(A)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% cnf(159521184,plain,(cf(A)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(164761992,plain,(cf(i2003_11_14_17_20_07201)),inference(resolution,[status(thm)],[159521184,159572088]),[]).
%
% cnf(164779208,plain,(cd(i2003_11_14_17_20_07201)),inference(resolution,[status(thm)],[159563792,164761992]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[164793104,159534480,164779208]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------