%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN055-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.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 16:39:35 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 8 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 19 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_3,plain,
! [A] :
( ~ big_p(A)
| big_f(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN055-1.tptp',unknown),
[] ).
cnf(146371968,plain,
( ~ big_p(A)
| big_f(A) ),
inference(rewrite,[status(thm)],[clause_3]),
[] ).
fof(clause_5,plain,
! [A] :
( ~ big_p(A)
| big_q(A)
| big_p(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN055-1.tptp',unknown),
[] ).
cnf(146383264,plain,
( ~ big_p(A)
| big_q(A)
| big_p(b) ),
inference(rewrite,[status(thm)],[clause_5]),
[] ).
fof(clause_1,plain,
big_p(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN055-1.tptp',unknown),
[] ).
cnf(146357008,plain,
big_p(a),
inference(rewrite,[status(thm)],[clause_1]),
[] ).
cnf(156847280,plain,
( big_q(a)
| big_p(b) ),
inference(resolution,[status(thm)],[146383264,146357008]),
[] ).
fof(clause_7,plain,
! [A] :
( ~ big_q(A)
| ~ big_p(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN055-1.tptp',unknown),
[] ).
cnf(146398656,plain,
( ~ big_q(A)
| ~ big_p(A) ),
inference(rewrite,[status(thm)],[clause_7]),
[] ).
cnf(156840080,plain,
~ big_q(a),
inference(resolution,[status(thm)],[146398656,146357008]),
[] ).
cnf(156875264,plain,
big_p(b),
inference(resolution,[status(thm)],[156847280,156840080]),
[] ).
cnf(156888040,plain,
big_f(b),
inference(resolution,[status(thm)],[146371968,156875264]),
[] ).
fof(clause_4,plain,
! [A] :
( ~ big_p(A)
| big_g(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN055-1.tptp',unknown),
[] ).
cnf(146376800,plain,
( ~ big_p(A)
| big_g(A) ),
inference(rewrite,[status(thm)],[clause_4]),
[] ).
cnf(156896576,plain,
big_g(b),
inference(resolution,[status(thm)],[146376800,156875264]),
[] ).
fof(clause_2,plain,
! [A] :
( ~ big_f(A)
| ~ big_g(A)
| ~ big_r(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN055-1.tptp',unknown),
[] ).
cnf(146365320,plain,
( ~ big_f(A)
| ~ big_g(A)
| ~ big_r(A) ),
inference(rewrite,[status(thm)],[clause_2]),
[] ).
fof(clause_6,plain,
! [A] :
( ~ big_p(A)
| big_q(A)
| big_r(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN055-1.tptp',unknown),
[] ).
cnf(146392248,plain,
( ~ big_p(A)
| big_q(A)
| big_r(b) ),
inference(rewrite,[status(thm)],[clause_6]),
[] ).
cnf(156852552,plain,
( big_q(a)
| big_r(b) ),
inference(resolution,[status(thm)],[146392248,146357008]),
[] ).
cnf(156880440,plain,
big_r(b),
inference(resolution,[status(thm)],[156852552,156840080]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[156888040,156896576,146365320,156880440]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_3,plain,(~big_p(A)|big_f(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN055-1.tptp',unknown),[]).
%
% cnf(146371968,plain,(~big_p(A)|big_f(A)),inference(rewrite,[status(thm)],[clause_3]),[]).
%
% fof(clause_5,plain,(~big_p(A)|big_q(A)|big_p(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN055-1.tptp',unknown),[]).
%
% cnf(146383264,plain,(~big_p(A)|big_q(A)|big_p(b)),inference(rewrite,[status(thm)],[clause_5]),[]).
%
% fof(clause_1,plain,(big_p(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN055-1.tptp',unknown),[]).
%
% cnf(146357008,plain,(big_p(a)),inference(rewrite,[status(thm)],[clause_1]),[]).
%
% cnf(156847280,plain,(big_q(a)|big_p(b)),inference(resolution,[status(thm)],[146383264,146357008]),[]).
%
% fof(clause_7,plain,(~big_q(A)|~big_p(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN055-1.tptp',unknown),[]).
%
% cnf(146398656,plain,(~big_q(A)|~big_p(A)),inference(rewrite,[status(thm)],[clause_7]),[]).
%
% cnf(156840080,plain,(~big_q(a)),inference(resolution,[status(thm)],[146398656,146357008]),[]).
%
% cnf(156875264,plain,(big_p(b)),inference(resolution,[status(thm)],[156847280,156840080]),[]).
%
% cnf(156888040,plain,(big_f(b)),inference(resolution,[status(thm)],[146371968,156875264]),[]).
%
% fof(clause_4,plain,(~big_p(A)|big_g(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN055-1.tptp',unknown),[]).
%
% cnf(146376800,plain,(~big_p(A)|big_g(A)),inference(rewrite,[status(thm)],[clause_4]),[]).
%
% cnf(156896576,plain,(big_g(b)),inference(resolution,[status(thm)],[146376800,156875264]),[]).
%
% fof(clause_2,plain,(~big_f(A)|~big_g(A)|~big_r(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN055-1.tptp',unknown),[]).
%
% cnf(146365320,plain,(~big_f(A)|~big_g(A)|~big_r(A)),inference(rewrite,[status(thm)],[clause_2]),[]).
%
% fof(clause_6,plain,(~big_p(A)|big_q(A)|big_r(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN055-1.tptp',unknown),[]).
%
% cnf(146392248,plain,(~big_p(A)|big_q(A)|big_r(b)),inference(rewrite,[status(thm)],[clause_6]),[]).
%
% cnf(156852552,plain,(big_q(a)|big_r(b)),inference(resolution,[status(thm)],[146392248,146357008]),[]).
%
% cnf(156880440,plain,(big_r(b)),inference(resolution,[status(thm)],[156852552,156840080]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[156888040,156896576,146365320,156880440]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------