%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN004-1.007 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art04.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 16:36:57 EDT 2009
% Result : Unsatisfiable 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of formulae : 43 ( 17 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 102 ( 52 ~; 50 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 15 ( 14 usr; 15 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(base_2,plain,
q_1,
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),
[] ).
cnf(167030648,plain,
q_1,
inference(rewrite,[status(thm)],[base_2]),
[] ).
fof(pqq_1,plain,
( ~ p_1
| ~ q_1
| q_2 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),
[] ).
cnf(166986168,plain,
( ~ p_1
| ~ q_1
| q_2 ),
inference(rewrite,[status(thm)],[pqq_1]),
[] ).
fof(base_1,plain,
p_1,
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),
[] ).
cnf(167025608,plain,
p_1,
inference(rewrite,[status(thm)],[base_1]),
[] ).
cnf(212051312,plain,
q_2,
inference(forward_subsumption_resolution__resolution,[status(thm)],[167030648,166986168,167025608]),
[] ).
fof(pqq_2,plain,
( ~ p_2
| ~ q_2
| q_3 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),
[] ).
cnf(166991440,plain,
( ~ p_2
| ~ q_2
| q_3 ),
inference(rewrite,[status(thm)],[pqq_2]),
[] ).
fof(pqp_1,plain,
( ~ p_1
| ~ q_1
| p_2 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),
[] ).
cnf(166929208,plain,
( ~ p_1
| ~ q_1
| p_2 ),
inference(rewrite,[status(thm)],[pqp_1]),
[] ).
cnf(212045544,plain,
p_2,
inference(forward_subsumption_resolution__resolution,[status(thm)],[167030648,166929208,167025608]),
[] ).
cnf(212062864,plain,
q_3,
inference(forward_subsumption_resolution__resolution,[status(thm)],[212051312,166991440,212045544]),
[] ).
fof(pqq_3,plain,
( ~ p_3
| ~ q_3
| q_4 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),
[] ).
cnf(166996680,plain,
( ~ p_3
| ~ q_3
| q_4 ),
inference(rewrite,[status(thm)],[pqq_3]),
[] ).
fof(pqp_2,plain,
( ~ p_2
| ~ q_2
| p_3 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),
[] ).
cnf(166937968,plain,
( ~ p_2
| ~ q_2
| p_3 ),
inference(rewrite,[status(thm)],[pqp_2]),
[] ).
cnf(212057144,plain,
p_3,
inference(forward_subsumption_resolution__resolution,[status(thm)],[212051312,166937968,212045544]),
[] ).
cnf(212082592,plain,
q_4,
inference(forward_subsumption_resolution__resolution,[status(thm)],[212062864,166996680,212057144]),
[] ).
fof(pqq_4,plain,
( ~ p_4
| ~ q_4
| q_5 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),
[] ).
cnf(166923392,plain,
( ~ p_4
| ~ q_4
| q_5 ),
inference(rewrite,[status(thm)],[pqq_4]),
[] ).
fof(pqp_3,plain,
( ~ p_3
| ~ q_3
| p_4 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),
[] ).
cnf(166946712,plain,
( ~ p_3
| ~ q_3
| p_4 ),
inference(rewrite,[status(thm)],[pqp_3]),
[] ).
cnf(212068656,plain,
p_4,
inference(forward_subsumption_resolution__resolution,[status(thm)],[212062864,166946712,212057144]),
[] ).
cnf(212093992,plain,
q_5,
inference(forward_subsumption_resolution__resolution,[status(thm)],[212082592,166923392,212068656]),
[] ).
fof(pqq_5,plain,
( ~ p_5
| ~ q_5
| q_6 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),
[] ).
cnf(167011192,plain,
( ~ p_5
| ~ q_5
| q_6 ),
inference(rewrite,[status(thm)],[pqq_5]),
[] ).
fof(pqp_4,plain,
( ~ p_4
| ~ q_4
| p_5 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),
[] ).
cnf(166959480,plain,
( ~ p_4
| ~ q_4
| p_5 ),
inference(rewrite,[status(thm)],[pqp_4]),
[] ).
cnf(212088320,plain,
p_5,
inference(forward_subsumption_resolution__resolution,[status(thm)],[212082592,166959480,212068656]),
[] ).
cnf(212105344,plain,
q_6,
inference(forward_subsumption_resolution__resolution,[status(thm)],[212093992,167011192,212088320]),
[] ).
fof(pqq_6,plain,
( ~ p_6
| ~ q_6
| q_7 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),
[] ).
cnf(167016376,plain,
( ~ p_6
| ~ q_6
| q_7 ),
inference(rewrite,[status(thm)],[pqq_6]),
[] ).
fof(pqp_5,plain,
( ~ p_5
| ~ q_5
| p_6 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),
[] ).
cnf(166968144,plain,
( ~ p_5
| ~ q_5
| p_6 ),
inference(rewrite,[status(thm)],[pqp_5]),
[] ).
cnf(212099704,plain,
p_6,
inference(forward_subsumption_resolution__resolution,[status(thm)],[212093992,166968144,212088320]),
[] ).
cnf(212120720,plain,
q_7,
inference(forward_subsumption_resolution__resolution,[status(thm)],[212105344,167016376,212099704]),
[] ).
fof(base_3,plain,
( ~ p_7
| ~ q_7 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),
[] ).
cnf(167037408,plain,
( ~ p_7
| ~ q_7 ),
inference(rewrite,[status(thm)],[base_3]),
[] ).
fof(pqp_6,plain,
( ~ p_6
| ~ q_6
| p_7 ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),
[] ).
cnf(166976776,plain,
( ~ p_6
| ~ q_6
| p_7 ),
inference(rewrite,[status(thm)],[pqp_6]),
[] ).
cnf(212115112,plain,
p_7,
inference(forward_subsumption_resolution__resolution,[status(thm)],[212105344,166976776,212099704]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[212120720,167037408,212115112]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(base_2,plain,(q_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),[]).
%
% cnf(167030648,plain,(q_1),inference(rewrite,[status(thm)],[base_2]),[]).
%
% fof(pqq_1,plain,(~p_1|~q_1|q_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),[]).
%
% cnf(166986168,plain,(~p_1|~q_1|q_2),inference(rewrite,[status(thm)],[pqq_1]),[]).
%
% fof(base_1,plain,(p_1),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),[]).
%
% cnf(167025608,plain,(p_1),inference(rewrite,[status(thm)],[base_1]),[]).
%
% cnf(212051312,plain,(q_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[167030648,166986168,167025608]),[]).
%
% fof(pqq_2,plain,(~p_2|~q_2|q_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),[]).
%
% cnf(166991440,plain,(~p_2|~q_2|q_3),inference(rewrite,[status(thm)],[pqq_2]),[]).
%
% fof(pqp_1,plain,(~p_1|~q_1|p_2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),[]).
%
% cnf(166929208,plain,(~p_1|~q_1|p_2),inference(rewrite,[status(thm)],[pqp_1]),[]).
%
% cnf(212045544,plain,(p_2),inference(forward_subsumption_resolution__resolution,[status(thm)],[167030648,166929208,167025608]),[]).
%
% cnf(212062864,plain,(q_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[212051312,166991440,212045544]),[]).
%
% fof(pqq_3,plain,(~p_3|~q_3|q_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),[]).
%
% cnf(166996680,plain,(~p_3|~q_3|q_4),inference(rewrite,[status(thm)],[pqq_3]),[]).
%
% fof(pqp_2,plain,(~p_2|~q_2|p_3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),[]).
%
% cnf(166937968,plain,(~p_2|~q_2|p_3),inference(rewrite,[status(thm)],[pqp_2]),[]).
%
% cnf(212057144,plain,(p_3),inference(forward_subsumption_resolution__resolution,[status(thm)],[212051312,166937968,212045544]),[]).
%
% cnf(212082592,plain,(q_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[212062864,166996680,212057144]),[]).
%
% fof(pqq_4,plain,(~p_4|~q_4|q_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),[]).
%
% cnf(166923392,plain,(~p_4|~q_4|q_5),inference(rewrite,[status(thm)],[pqq_4]),[]).
%
% fof(pqp_3,plain,(~p_3|~q_3|p_4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),[]).
%
% cnf(166946712,plain,(~p_3|~q_3|p_4),inference(rewrite,[status(thm)],[pqp_3]),[]).
%
% cnf(212068656,plain,(p_4),inference(forward_subsumption_resolution__resolution,[status(thm)],[212062864,166946712,212057144]),[]).
%
% cnf(212093992,plain,(q_5),inference(forward_subsumption_resolution__resolution,[status(thm)],[212082592,166923392,212068656]),[]).
%
% fof(pqq_5,plain,(~p_5|~q_5|q_6),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),[]).
%
% cnf(167011192,plain,(~p_5|~q_5|q_6),inference(rewrite,[status(thm)],[pqq_5]),[]).
%
% fof(pqp_4,plain,(~p_4|~q_4|p_5),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),[]).
%
% cnf(166959480,plain,(~p_4|~q_4|p_5),inference(rewrite,[status(thm)],[pqp_4]),[]).
%
% cnf(212088320,plain,(p_5),inference(forward_subsumption_resolution__resolution,[status(thm)],[212082592,166959480,212068656]),[]).
%
% cnf(212105344,plain,(q_6),inference(forward_subsumption_resolution__resolution,[status(thm)],[212093992,167011192,212088320]),[]).
%
% fof(pqq_6,plain,(~p_6|~q_6|q_7),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),[]).
%
% cnf(167016376,plain,(~p_6|~q_6|q_7),inference(rewrite,[status(thm)],[pqq_6]),[]).
%
% fof(pqp_5,plain,(~p_5|~q_5|p_6),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),[]).
%
% cnf(166968144,plain,(~p_5|~q_5|p_6),inference(rewrite,[status(thm)],[pqp_5]),[]).
%
% cnf(212099704,plain,(p_6),inference(forward_subsumption_resolution__resolution,[status(thm)],[212093992,166968144,212088320]),[]).
%
% cnf(212120720,plain,(q_7),inference(forward_subsumption_resolution__resolution,[status(thm)],[212105344,167016376,212099704]),[]).
%
% fof(base_3,plain,(~p_7|~q_7),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),[]).
%
% cnf(167037408,plain,(~p_7|~q_7),inference(rewrite,[status(thm)],[base_3]),[]).
%
% fof(pqp_6,plain,(~p_6|~q_6|p_7),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN004-1.007.tptp',unknown),[]).
%
% cnf(166976776,plain,(~p_6|~q_6|p_7),inference(rewrite,[status(thm)],[pqp_6]),[]).
%
% cnf(212115112,plain,(p_7),inference(forward_subsumption_resolution__resolution,[status(thm)],[212105344,166976776,212099704]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[212120720,167037408,212115112]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------