TSTP Solution File: COM002-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : COM002-2 : 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 11:35:46 EDT 2009
% Result : Unsatisfiable 2.0s
% Output : Refutation 2.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% 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 : 31 ( 17 ~; 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(state_8,plain,
has(p8,goto(loop)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-2.tptp',unknown),
[] ).
cnf(169456984,plain,
has(p8,goto(loop)),
inference(rewrite,[status(thm)],[state_8]),
[] ).
fof(goto_success,plain,
! [A,B,C] :
( ~ fails(A,B)
| ~ has(B,goto(C))
| ~ labels(C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-2.tptp',unknown),
[] ).
cnf(169496864,plain,
( ~ fails(A,B)
| ~ has(B,goto(C))
| ~ labels(C,A) ),
inference(rewrite,[status(thm)],[goto_success]),
[] ).
fof(label_state_3,plain,
labels(loop,p3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-2.tptp',unknown),
[] ).
cnf(169548176,plain,
labels(loop,p3),
inference(rewrite,[status(thm)],[label_state_3]),
[] ).
cnf(177503560,plain,
( ~ fails(p3,A)
| ~ has(A,goto(loop)) ),
inference(resolution,[status(thm)],[169496864,169548176]),
[] ).
fof(transitivity_of_success,plain,
! [A,B,C] :
( ~ fails(A,B)
| fails(A,C)
| fails(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-2.tptp',unknown),
[] ).
cnf(169469304,plain,
( ~ fails(A,B)
| fails(A,C)
| fails(C,B) ),
inference(rewrite,[status(thm)],[transitivity_of_success]),
[] ).
fof(prove_there_is_a_loop_through_p3,plain,
fails(p3,p3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-2.tptp',unknown),
[] ).
cnf(169606888,plain,
fails(p3,p3),
inference(rewrite,[status(thm)],[prove_there_is_a_loop_through_p3]),
[] ).
cnf(177521768,plain,
( fails(p3,A)
| fails(A,p3) ),
inference(resolution,[status(thm)],[169469304,169606888]),
[] ).
fof(direct_success,plain,
! [A,B] :
( ~ fails(A,B)
| ~ follows(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-2.tptp',unknown),
[] ).
cnf(169461968,plain,
( ~ fails(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/COM002-2.tptp',unknown),
[] ).
cnf(169573632,plain,
follows(p6,p3),
inference(rewrite,[status(thm)],[transition_3_to_6]),
[] ).
cnf(177690136,plain,
~ fails(p6,p3),
inference(resolution,[status(thm)],[169461968,169573632]),
[] ).
cnf(177945744,plain,
fails(p3,p6),
inference(resolution,[status(thm)],[177521768,177690136]),
[] ).
cnf(178034592,plain,
( fails(p3,A)
| fails(A,p6) ),
inference(resolution,[status(thm)],[177945744,169469304]),
[] ).
fof(transition_6_to_7,plain,
follows(p7,p6),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-2.tptp',unknown),
[] ).
cnf(169585872,plain,
follows(p7,p6),
inference(rewrite,[status(thm)],[transition_6_to_7]),
[] ).
cnf(177702216,plain,
~ fails(p7,p6),
inference(resolution,[status(thm)],[169461968,169585872]),
[] ).
cnf(178169336,plain,
fails(p3,p7),
inference(resolution,[status(thm)],[178034592,177702216]),
[] ).
cnf(178220464,plain,
( fails(p3,A)
| fails(A,p7) ),
inference(resolution,[status(thm)],[178169336,169469304]),
[] ).
fof(transition_7_to_8,plain,
follows(p8,p7),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-2.tptp',unknown),
[] ).
cnf(169593912,plain,
follows(p8,p7),
inference(rewrite,[status(thm)],[transition_7_to_8]),
[] ).
cnf(177714264,plain,
~ fails(p8,p7),
inference(resolution,[status(thm)],[169461968,169593912]),
[] ).
cnf(178368992,plain,
fails(p3,p8),
inference(resolution,[status(thm)],[178220464,177714264]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[169456984,177503560,178368992]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(state_8,plain,(has(p8,goto(loop))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-2.tptp',unknown),[]).
%
% cnf(169456984,plain,(has(p8,goto(loop))),inference(rewrite,[status(thm)],[state_8]),[]).
%
% fof(goto_success,plain,(~fails(A,B)|~has(B,goto(C))|~labels(C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-2.tptp',unknown),[]).
%
% cnf(169496864,plain,(~fails(A,B)|~has(B,goto(C))|~labels(C,A)),inference(rewrite,[status(thm)],[goto_success]),[]).
%
% fof(label_state_3,plain,(labels(loop,p3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-2.tptp',unknown),[]).
%
% cnf(169548176,plain,(labels(loop,p3)),inference(rewrite,[status(thm)],[label_state_3]),[]).
%
% cnf(177503560,plain,(~fails(p3,A)|~has(A,goto(loop))),inference(resolution,[status(thm)],[169496864,169548176]),[]).
%
% fof(transitivity_of_success,plain,(~fails(A,B)|fails(A,C)|fails(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-2.tptp',unknown),[]).
%
% cnf(169469304,plain,(~fails(A,B)|fails(A,C)|fails(C,B)),inference(rewrite,[status(thm)],[transitivity_of_success]),[]).
%
% fof(prove_there_is_a_loop_through_p3,plain,(fails(p3,p3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-2.tptp',unknown),[]).
%
% cnf(169606888,plain,(fails(p3,p3)),inference(rewrite,[status(thm)],[prove_there_is_a_loop_through_p3]),[]).
%
% cnf(177521768,plain,(fails(p3,A)|fails(A,p3)),inference(resolution,[status(thm)],[169469304,169606888]),[]).
%
% fof(direct_success,plain,(~fails(A,B)|~follows(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-2.tptp',unknown),[]).
%
% cnf(169461968,plain,(~fails(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/COM002-2.tptp',unknown),[]).
%
% cnf(169573632,plain,(follows(p6,p3)),inference(rewrite,[status(thm)],[transition_3_to_6]),[]).
%
% cnf(177690136,plain,(~fails(p6,p3)),inference(resolution,[status(thm)],[169461968,169573632]),[]).
%
% cnf(177945744,plain,(fails(p3,p6)),inference(resolution,[status(thm)],[177521768,177690136]),[]).
%
% cnf(178034592,plain,(fails(p3,A)|fails(A,p6)),inference(resolution,[status(thm)],[177945744,169469304]),[]).
%
% fof(transition_6_to_7,plain,(follows(p7,p6)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-2.tptp',unknown),[]).
%
% cnf(169585872,plain,(follows(p7,p6)),inference(rewrite,[status(thm)],[transition_6_to_7]),[]).
%
% cnf(177702216,plain,(~fails(p7,p6)),inference(resolution,[status(thm)],[169461968,169585872]),[]).
%
% cnf(178169336,plain,(fails(p3,p7)),inference(resolution,[status(thm)],[178034592,177702216]),[]).
%
% cnf(178220464,plain,(fails(p3,A)|fails(A,p7)),inference(resolution,[status(thm)],[178169336,169469304]),[]).
%
% fof(transition_7_to_8,plain,(follows(p8,p7)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM002-2.tptp',unknown),[]).
%
% cnf(169593912,plain,(follows(p8,p7)),inference(rewrite,[status(thm)],[transition_7_to_8]),[]).
%
% cnf(177714264,plain,(~fails(p8,p7)),inference(resolution,[status(thm)],[169461968,169593912]),[]).
%
% cnf(178368992,plain,(fails(p3,p8)),inference(resolution,[status(thm)],[178220464,177714264]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[169456984,177503560,178368992]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------