TSTP Solution File: COM001-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : COM001-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art07.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 11:35:41 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 18 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
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/COM001-1.tptp',unknown),
[] ).
cnf(140689968,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/COM001-1.tptp',unknown),
[] ).
cnf(140647400,plain,
has(p8,goto(loop)),
inference(rewrite,[status(thm)],[state_8]),
[] ).
cnf(148668024,plain,
( succeeds(A,p8)
| ~ labels(loop,A) ),
inference(resolution,[status(thm)],[140689968,140647400]),
[] ).
fof(label_state_3,plain,
labels(loop,p3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM001-1.tptp',unknown),
[] ).
cnf(140717304,plain,
labels(loop,p3),
inference(rewrite,[status(thm)],[label_state_3]),
[] ).
cnf(148677880,plain,
succeeds(p3,p8),
inference(resolution,[status(thm)],[148668024,140717304]),
[] ).
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/COM001-1.tptp',unknown),
[] ).
cnf(140662720,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/COM001-1.tptp',unknown),
[] ).
cnf(140651656,plain,
( succeeds(A,B)
| ~ follows(A,B) ),
inference(rewrite,[status(thm)],[direct_success]),
[] ).
fof(transition_3_to_8,plain,
follows(p8,p3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM001-1.tptp',unknown),
[] ).
cnf(140739696,plain,
follows(p8,p3),
inference(rewrite,[status(thm)],[transition_3_to_8]),
[] ).
cnf(148598992,plain,
succeeds(p8,p3),
inference(resolution,[status(thm)],[140651656,140739696]),
[] ).
cnf(148771024,plain,
( succeeds(A,p3)
| ~ succeeds(A,p8) ),
inference(resolution,[status(thm)],[140662720,148598992]),
[] ).
fof(prove_there_is_a_loop_through_p3,plain,
~ succeeds(p3,p3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM001-1.tptp',unknown),
[] ).
cnf(140748216,plain,
~ succeeds(p3,p3),
inference(rewrite,[status(thm)],[prove_there_is_a_loop_through_p3]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[148677880,148771024,140748216]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(goto_success,plain,(succeeds(A,B)|~has(B,goto(C))|~labels(C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM001-1.tptp',unknown),[]).
%
% cnf(140689968,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/COM001-1.tptp',unknown),[]).
%
% cnf(140647400,plain,(has(p8,goto(loop))),inference(rewrite,[status(thm)],[state_8]),[]).
%
% cnf(148668024,plain,(succeeds(A,p8)|~labels(loop,A)),inference(resolution,[status(thm)],[140689968,140647400]),[]).
%
% fof(label_state_3,plain,(labels(loop,p3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM001-1.tptp',unknown),[]).
%
% cnf(140717304,plain,(labels(loop,p3)),inference(rewrite,[status(thm)],[label_state_3]),[]).
%
% cnf(148677880,plain,(succeeds(p3,p8)),inference(resolution,[status(thm)],[148668024,140717304]),[]).
%
% fof(transitivity_of_success,plain,(succeeds(A,B)|~succeeds(A,C)|~succeeds(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM001-1.tptp',unknown),[]).
%
% cnf(140662720,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/COM001-1.tptp',unknown),[]).
%
% cnf(140651656,plain,(succeeds(A,B)|~follows(A,B)),inference(rewrite,[status(thm)],[direct_success]),[]).
%
% fof(transition_3_to_8,plain,(follows(p8,p3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM001-1.tptp',unknown),[]).
%
% cnf(140739696,plain,(follows(p8,p3)),inference(rewrite,[status(thm)],[transition_3_to_8]),[]).
%
% cnf(148598992,plain,(succeeds(p8,p3)),inference(resolution,[status(thm)],[140651656,140739696]),[]).
%
% cnf(148771024,plain,(succeeds(A,p3)|~succeeds(A,p8)),inference(resolution,[status(thm)],[140662720,148598992]),[]).
%
% fof(prove_there_is_a_loop_through_p3,plain,(~succeeds(p3,p3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM001-1.tptp',unknown),[]).
%
% cnf(140748216,plain,(~succeeds(p3,p3)),inference(rewrite,[status(thm)],[prove_there_is_a_loop_through_p3]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[148677880,148771024,140748216]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------