TSTP Solution File: SYN084-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN084-2 : TPTP v3.4.2. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.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 16:42:50 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 7 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 57 ( 29 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel62_4,plain,
( ~ big_p(f(f(sk1)))
| ~ big_p(f(f(sk2))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN084-2.tptp',unknown),
[] ).
cnf(157153936,plain,
( ~ big_p(f(f(sk1)))
| ~ big_p(f(f(sk2))) ),
inference(rewrite,[status(thm)],[pel62_4]),
[] ).
fof(pel62_2,plain,
! [A] :
( big_p(f(f(A)))
| big_p(A)
| ~ big_p(a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN084-2.tptp',unknown),
[] ).
fof(pel62_1,plain,
big_p(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN084-2.tptp',unknown),
[] ).
cnf(157136992,plain,
big_p(a),
inference(rewrite,[status(thm)],[pel62_1]),
[] ).
cnf(157142640,plain,
( big_p(f(f(A)))
| big_p(A) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[pel62_2,157136992]),
[] ).
cnf(180740424,plain,
( ~ big_p(f(f(sk2)))
| big_p(sk1) ),
inference(resolution,[status(thm)],[157153936,157142640]),
[] ).
fof(pel62_3,plain,
! [A] :
( big_p(f(f(A)))
| ~ big_p(f(A))
| ~ big_p(a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN084-2.tptp',unknown),
[] ).
cnf(157147576,plain,
( big_p(f(f(A)))
| ~ big_p(f(A)) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[pel62_3,157136992]),
[] ).
cnf(180779288,plain,
( big_p(sk1)
| ~ big_p(f(sk2)) ),
inference(resolution,[status(thm)],[180740424,157147576]),
[] ).
fof(pel62_7,plain,
( big_p(f(sk2))
| ~ big_p(sk2)
| ~ big_p(f(f(sk1))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN084-2.tptp',unknown),
[] ).
cnf(157180696,plain,
( big_p(f(sk2))
| ~ big_p(sk2)
| ~ big_p(f(f(sk1))) ),
inference(rewrite,[status(thm)],[pel62_7]),
[] ).
cnf(180771592,plain,
( big_p(sk1)
| big_p(sk2) ),
inference(resolution,[status(thm)],[180740424,157142640]),
[] ).
cnf(181028224,plain,
big_p(sk1),
inference(forward_subsumption_resolution__resolution,[status(thm)],[180779288,157142640,157180696,180771592]),
[] ).
fof(pel62_6,plain,
( big_p(f(sk1))
| ~ big_p(sk1)
| ~ big_p(f(f(sk2))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN084-2.tptp',unknown),
[] ).
cnf(157173584,plain,
( big_p(f(sk1))
| ~ big_p(sk1)
| ~ big_p(f(f(sk2))) ),
inference(rewrite,[status(thm)],[pel62_6]),
[] ).
cnf(180752216,plain,
( ~ big_p(f(f(sk2)))
| ~ big_p(f(sk1)) ),
inference(resolution,[status(thm)],[157153936,157147576]),
[] ).
cnf(180821920,plain,
( ~ big_p(f(sk1))
| ~ big_p(f(sk2)) ),
inference(resolution,[status(thm)],[180752216,157147576]),
[] ).
cnf(180912688,plain,
~ big_p(f(sk2)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[180779288,157147576,157173584,180821920]),
[] ).
cnf(180813576,plain,
( ~ big_p(f(sk1))
| big_p(sk2) ),
inference(resolution,[status(thm)],[180752216,157142640]),
[] ).
cnf(181056632,plain,
~ big_p(f(sk1)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[180813576,157147576,157180696,180821920]),
[] ).
fof(pel62_5,plain,
( big_p(f(sk1))
| big_p(f(sk2))
| ~ big_p(sk1)
| ~ big_p(sk2) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN084-2.tptp',unknown),
[] ).
cnf(157163032,plain,
( big_p(f(sk1))
| big_p(f(sk2))
| ~ big_p(sk1)
| ~ big_p(sk2) ),
inference(rewrite,[status(thm)],[pel62_5]),
[] ).
cnf(180875680,plain,
big_p(sk2),
inference(forward_subsumption_resolution__resolution,[status(thm)],[180813576,157142640,157173584,180771592]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[181028224,180912688,181056632,157163032,180875680]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel62_4,plain,(~big_p(f(f(sk1)))|~big_p(f(f(sk2)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN084-2.tptp',unknown),[]).
%
% cnf(157153936,plain,(~big_p(f(f(sk1)))|~big_p(f(f(sk2)))),inference(rewrite,[status(thm)],[pel62_4]),[]).
%
% fof(pel62_2,plain,(big_p(f(f(A)))|big_p(A)|~big_p(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN084-2.tptp',unknown),[]).
%
% fof(pel62_1,plain,(big_p(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN084-2.tptp',unknown),[]).
%
% cnf(157136992,plain,(big_p(a)),inference(rewrite,[status(thm)],[pel62_1]),[]).
%
% cnf(157142640,plain,(big_p(f(f(A)))|big_p(A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[pel62_2,157136992]),[]).
%
% cnf(180740424,plain,(~big_p(f(f(sk2)))|big_p(sk1)),inference(resolution,[status(thm)],[157153936,157142640]),[]).
%
% fof(pel62_3,plain,(big_p(f(f(A)))|~big_p(f(A))|~big_p(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN084-2.tptp',unknown),[]).
%
% cnf(157147576,plain,(big_p(f(f(A)))|~big_p(f(A))),inference(rewrite__forward_subsumption_resolution,[status(thm)],[pel62_3,157136992]),[]).
%
% cnf(180779288,plain,(big_p(sk1)|~big_p(f(sk2))),inference(resolution,[status(thm)],[180740424,157147576]),[]).
%
% fof(pel62_7,plain,(big_p(f(sk2))|~big_p(sk2)|~big_p(f(f(sk1)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN084-2.tptp',unknown),[]).
%
% cnf(157180696,plain,(big_p(f(sk2))|~big_p(sk2)|~big_p(f(f(sk1)))),inference(rewrite,[status(thm)],[pel62_7]),[]).
%
% cnf(180771592,plain,(big_p(sk1)|big_p(sk2)),inference(resolution,[status(thm)],[180740424,157142640]),[]).
%
% cnf(181028224,plain,(big_p(sk1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[180779288,157142640,157180696,180771592]),[]).
%
% fof(pel62_6,plain,(big_p(f(sk1))|~big_p(sk1)|~big_p(f(f(sk2)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN084-2.tptp',unknown),[]).
%
% cnf(157173584,plain,(big_p(f(sk1))|~big_p(sk1)|~big_p(f(f(sk2)))),inference(rewrite,[status(thm)],[pel62_6]),[]).
%
% cnf(180752216,plain,(~big_p(f(f(sk2)))|~big_p(f(sk1))),inference(resolution,[status(thm)],[157153936,157147576]),[]).
%
% cnf(180821920,plain,(~big_p(f(sk1))|~big_p(f(sk2))),inference(resolution,[status(thm)],[180752216,157147576]),[]).
%
% cnf(180912688,plain,(~big_p(f(sk2))),inference(forward_subsumption_resolution__resolution,[status(thm)],[180779288,157147576,157173584,180821920]),[]).
%
% cnf(180813576,plain,(~big_p(f(sk1))|big_p(sk2)),inference(resolution,[status(thm)],[180752216,157142640]),[]).
%
% cnf(181056632,plain,(~big_p(f(sk1))),inference(forward_subsumption_resolution__resolution,[status(thm)],[180813576,157147576,157180696,180821920]),[]).
%
% fof(pel62_5,plain,(big_p(f(sk1))|big_p(f(sk2))|~big_p(sk1)|~big_p(sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN084-2.tptp',unknown),[]).
%
% cnf(157163032,plain,(big_p(f(sk1))|big_p(f(sk2))|~big_p(sk1)|~big_p(sk2)),inference(rewrite,[status(thm)],[pel62_5]),[]).
%
% cnf(180875680,plain,(big_p(sk2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[180813576,157142640,157173584,180771592]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[181028224,180912688,181056632,157163032,180875680]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------