TSTP Solution File: COM002-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : COM002-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 11:35:43 EDT 2009
% Result : Unsatisfiable 1.1s
% Output : Refutation 1.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 19 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 19 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 20 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(label_state_3,plain,
labels(loop,p3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-1.tptp',unknown),
[] ).
cnf(155498736,plain,
labels(loop,p3),
inference(rewrite,[status(thm)],[label_state_3]),
[] ).
fof(goto_success,plain,
! [A,B,C] :
( succeeds(A,B)
| ~ has(B,goto(C))
| ~ labels(C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-1.tptp',unknown),
[] ).
cnf(155447584,plain,
( succeeds(A,B)
| ~ has(B,goto(C))
| ~ labels(C,A) ),
inference(rewrite,[status(thm)],[goto_success]),
[] ).
fof(state_8,plain,
has(p8,goto(loop)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-1.tptp',unknown),
[] ).
cnf(155403600,plain,
has(p8,goto(loop)),
inference(rewrite,[status(thm)],[state_8]),
[] ).
cnf(163584904,plain,
( succeeds(A,p8)
| ~ labels(loop,A) ),
inference(resolution,[status(thm)],[155447584,155403600]),
[] ).
fof(transitivity_of_success,plain,
! [A,B,C] :
( succeeds(A,B)
| ~ succeeds(A,C)
| ~ succeeds(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-1.tptp',unknown),
[] ).
cnf(155419984,plain,
( succeeds(A,B)
| ~ succeeds(A,C)
| ~ succeeds(C,B) ),
inference(rewrite,[status(thm)],[transitivity_of_success]),
[] ).
fof(direct_success,plain,
! [A,B] :
( succeeds(A,B)
| ~ follows(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-1.tptp',unknown),
[] ).
cnf(155408568,plain,
( succeeds(A,B)
| ~ follows(A,B) ),
inference(rewrite,[status(thm)],[direct_success]),
[] ).
fof(transition_3_to_6,plain,
follows(p6,p3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-1.tptp',unknown),
[] ).
cnf(155524192,plain,
follows(p6,p3),
inference(rewrite,[status(thm)],[transition_3_to_6]),
[] ).
cnf(163669112,plain,
succeeds(p6,p3),
inference(resolution,[status(thm)],[155408568,155524192]),
[] ).
cnf(163774120,plain,
( succeeds(A,p3)
| ~ succeeds(A,p6) ),
inference(resolution,[status(thm)],[155419984,163669112]),
[] ).
fof(prove_there_is_a_loop_through_p3,plain,
~ succeeds(p3,p3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-1.tptp',unknown),
[] ).
cnf(155557448,plain,
~ succeeds(p3,p3),
inference(rewrite,[status(thm)],[prove_there_is_a_loop_through_p3]),
[] ).
cnf(164745864,plain,
~ succeeds(p3,p6),
inference(resolution,[status(thm)],[163774120,155557448]),
[] ).
fof(transition_6_to_7,plain,
follows(p7,p6),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-1.tptp',unknown),
[] ).
cnf(155536432,plain,
follows(p7,p6),
inference(rewrite,[status(thm)],[transition_6_to_7]),
[] ).
cnf(163677056,plain,
succeeds(p7,p6),
inference(resolution,[status(thm)],[155408568,155536432]),
[] ).
cnf(163807888,plain,
( succeeds(A,p6)
| ~ succeeds(A,p7) ),
inference(resolution,[status(thm)],[155419984,163677056]),
[] ).
cnf(165827528,plain,
~ succeeds(p3,p7),
inference(resolution,[status(thm)],[164745864,163807888]),
[] ).
fof(transition_7_to_8,plain,
follows(p8,p7),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-1.tptp',unknown),
[] ).
cnf(155544472,plain,
follows(p8,p7),
inference(rewrite,[status(thm)],[transition_7_to_8]),
[] ).
cnf(163689144,plain,
succeeds(p8,p7),
inference(resolution,[status(thm)],[155408568,155544472]),
[] ).
cnf(163832600,plain,
( succeeds(A,p7)
| ~ succeeds(A,p8) ),
inference(resolution,[status(thm)],[155419984,163689144]),
[] ).
cnf(166092144,plain,
~ succeeds(p3,p8),
inference(resolution,[status(thm)],[165827528,163832600]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[155498736,163584904,166092144]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(label_state_3,plain,(labels(loop,p3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-1.tptp',unknown),[]).
%
% cnf(155498736,plain,(labels(loop,p3)),inference(rewrite,[status(thm)],[label_state_3]),[]).
%
% fof(goto_success,plain,(succeeds(A,B)|~has(B,goto(C))|~labels(C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-1.tptp',unknown),[]).
%
% cnf(155447584,plain,(succeeds(A,B)|~has(B,goto(C))|~labels(C,A)),inference(rewrite,[status(thm)],[goto_success]),[]).
%
% fof(state_8,plain,(has(p8,goto(loop))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-1.tptp',unknown),[]).
%
% cnf(155403600,plain,(has(p8,goto(loop))),inference(rewrite,[status(thm)],[state_8]),[]).
%
% cnf(163584904,plain,(succeeds(A,p8)|~labels(loop,A)),inference(resolution,[status(thm)],[155447584,155403600]),[]).
%
% fof(transitivity_of_success,plain,(succeeds(A,B)|~succeeds(A,C)|~succeeds(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-1.tptp',unknown),[]).
%
% cnf(155419984,plain,(succeeds(A,B)|~succeeds(A,C)|~succeeds(C,B)),inference(rewrite,[status(thm)],[transitivity_of_success]),[]).
%
% fof(direct_success,plain,(succeeds(A,B)|~follows(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-1.tptp',unknown),[]).
%
% cnf(155408568,plain,(succeeds(A,B)|~follows(A,B)),inference(rewrite,[status(thm)],[direct_success]),[]).
%
% fof(transition_3_to_6,plain,(follows(p6,p3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-1.tptp',unknown),[]).
%
% cnf(155524192,plain,(follows(p6,p3)),inference(rewrite,[status(thm)],[transition_3_to_6]),[]).
%
% cnf(163669112,plain,(succeeds(p6,p3)),inference(resolution,[status(thm)],[155408568,155524192]),[]).
%
% cnf(163774120,plain,(succeeds(A,p3)|~succeeds(A,p6)),inference(resolution,[status(thm)],[155419984,163669112]),[]).
%
% fof(prove_there_is_a_loop_through_p3,plain,(~succeeds(p3,p3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-1.tptp',unknown),[]).
%
% cnf(155557448,plain,(~succeeds(p3,p3)),inference(rewrite,[status(thm)],[prove_there_is_a_loop_through_p3]),[]).
%
% cnf(164745864,plain,(~succeeds(p3,p6)),inference(resolution,[status(thm)],[163774120,155557448]),[]).
%
% fof(transition_6_to_7,plain,(follows(p7,p6)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-1.tptp',unknown),[]).
%
% cnf(155536432,plain,(follows(p7,p6)),inference(rewrite,[status(thm)],[transition_6_to_7]),[]).
%
% cnf(163677056,plain,(succeeds(p7,p6)),inference(resolution,[status(thm)],[155408568,155536432]),[]).
%
% cnf(163807888,plain,(succeeds(A,p6)|~succeeds(A,p7)),inference(resolution,[status(thm)],[155419984,163677056]),[]).
%
% cnf(165827528,plain,(~succeeds(p3,p7)),inference(resolution,[status(thm)],[164745864,163807888]),[]).
%
% fof(transition_7_to_8,plain,(follows(p8,p7)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-1.tptp',unknown),[]).
%
% cnf(155544472,plain,(follows(p8,p7)),inference(rewrite,[status(thm)],[transition_7_to_8]),[]).
%
% cnf(163689144,plain,(succeeds(p8,p7)),inference(resolution,[status(thm)],[155408568,155544472]),[]).
%
% cnf(163832600,plain,(succeeds(A,p7)|~succeeds(A,p8)),inference(resolution,[status(thm)],[155419984,163689144]),[]).
%
% cnf(166092144,plain,(~succeeds(p3,p8)),inference(resolution,[status(thm)],[165827528,163832600]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[155498736,163584904,166092144]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------