%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN116-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art06.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 16:48:49 EDT 2009
% Result : Unsatisfiable 0.6s
% Output : Refutation 0.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 30 ( 13 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 25 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 31 ( 7 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_002,plain,
! [A,B] :
( l1(A,A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN116-1.tptp',unknown),
[] ).
cnf(150808088,plain,
( l1(A,A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_002]),
[] ).
fof(axiom_3,plain,
n0(d,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN116-1.tptp',unknown),
[] ).
cnf(150604792,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(164262424,plain,
l1(e,e),
inference(resolution,[status(thm)],[150808088,150604792]),
[] ).
fof(rule_299,plain,
! [A,B,C,D] :
( s4(A)
| ~ p3(B,C,D)
| ~ l1(A,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN116-1.tptp',unknown),
[] ).
cnf(154521656,plain,
( s4(A)
| ~ p3(B,C,D)
| ~ l1(A,C) ),
inference(rewrite,[status(thm)],[rule_299]),
[] ).
fof(rule_248,plain,
! [A,B] :
( p3(A,A,A)
| ~ p2(B,A,A)
| ~ n3(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN116-1.tptp',unknown),
[] ).
fof(rule_240,plain,
! [A,B,C] :
( n3(A)
| ~ p2(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN116-1.tptp',unknown),
[] ).
cnf(153693904,plain,
( n3(A)
| ~ p2(B,C,A) ),
inference(rewrite,[status(thm)],[rule_240]),
[] ).
cnf(153807056,plain,
( p3(A,A,A)
| ~ p2(B,A,A) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_248,153693904]),
[] ).
fof(rule_159,plain,
! [A] :
( p2(A,A,A)
| ~ k1(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN116-1.tptp',unknown),
[] ).
cnf(152586416,plain,
( p2(A,A,A)
| ~ k1(A) ),
inference(rewrite,[status(thm)],[rule_159]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN116-1.tptp',unknown),
[] ).
cnf(150794632,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
cnf(164251768,plain,
k1(e),
inference(resolution,[status(thm)],[150794632,150604792]),
[] ).
cnf(164392256,plain,
p2(e,e,e),
inference(resolution,[status(thm)],[152586416,164251768]),
[] ).
cnf(167527064,plain,
p3(e,e,e),
inference(resolution,[status(thm)],[153807056,164392256]),
[] ).
cnf(172977568,plain,
( s4(A)
| ~ l1(A,e) ),
inference(resolution,[status(thm)],[154521656,167527064]),
[] ).
fof(rule_057,plain,
! [A] :
( n1(A,A,A)
| ~ r0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN116-1.tptp',unknown),
[] ).
cnf(151413712,plain,
( n1(A,A,A)
| ~ r0(A) ),
inference(rewrite,[status(thm)],[rule_057]),
[] ).
fof(axiom_9,plain,
r0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN116-1.tptp',unknown),
[] ).
cnf(150646424,plain,
r0(b),
inference(rewrite,[status(thm)],[axiom_9]),
[] ).
cnf(163364568,plain,
n1(b,b,b),
inference(resolution,[status(thm)],[151413712,150646424]),
[] ).
fof(rule_301,plain,
( k5(b)
| ~ s4(e)
| ~ n1(b,b,b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN116-1.tptp',unknown),
[] ).
cnf(154550040,plain,
( k5(b)
| ~ s4(e)
| ~ n1(b,b,b) ),
inference(rewrite,[status(thm)],[rule_301]),
[] ).
fof(prove_this,plain,
~ k5(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN116-1.tptp',unknown),
[] ).
cnf(154970704,plain,
~ k5(b),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(166110160,plain,
~ s4(e),
inference(forward_subsumption_resolution__resolution,[status(thm)],[163364568,154550040,154970704]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[164262424,172977568,166110160]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN116-1.tptp',unknown),[]).
%
% cnf(150808088,plain,(l1(A,A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_002]),[]).
%
% fof(axiom_3,plain,(n0(d,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN116-1.tptp',unknown),[]).
%
% cnf(150604792,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(164262424,plain,(l1(e,e)),inference(resolution,[status(thm)],[150808088,150604792]),[]).
%
% fof(rule_299,plain,(s4(A)|~p3(B,C,D)|~l1(A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN116-1.tptp',unknown),[]).
%
% cnf(154521656,plain,(s4(A)|~p3(B,C,D)|~l1(A,C)),inference(rewrite,[status(thm)],[rule_299]),[]).
%
% fof(rule_248,plain,(p3(A,A,A)|~p2(B,A,A)|~n3(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN116-1.tptp',unknown),[]).
%
% fof(rule_240,plain,(n3(A)|~p2(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN116-1.tptp',unknown),[]).
%
% cnf(153693904,plain,(n3(A)|~p2(B,C,A)),inference(rewrite,[status(thm)],[rule_240]),[]).
%
% cnf(153807056,plain,(p3(A,A,A)|~p2(B,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_248,153693904]),[]).
%
% fof(rule_159,plain,(p2(A,A,A)|~k1(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN116-1.tptp',unknown),[]).
%
% cnf(152586416,plain,(p2(A,A,A)|~k1(A)),inference(rewrite,[status(thm)],[rule_159]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN116-1.tptp',unknown),[]).
%
% cnf(150794632,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% cnf(164251768,plain,(k1(e)),inference(resolution,[status(thm)],[150794632,150604792]),[]).
%
% cnf(164392256,plain,(p2(e,e,e)),inference(resolution,[status(thm)],[152586416,164251768]),[]).
%
% cnf(167527064,plain,(p3(e,e,e)),inference(resolution,[status(thm)],[153807056,164392256]),[]).
%
% cnf(172977568,plain,(s4(A)|~l1(A,e)),inference(resolution,[status(thm)],[154521656,167527064]),[]).
%
% fof(rule_057,plain,(n1(A,A,A)|~r0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN116-1.tptp',unknown),[]).
%
% cnf(151413712,plain,(n1(A,A,A)|~r0(A)),inference(rewrite,[status(thm)],[rule_057]),[]).
%
% fof(axiom_9,plain,(r0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN116-1.tptp',unknown),[]).
%
% cnf(150646424,plain,(r0(b)),inference(rewrite,[status(thm)],[axiom_9]),[]).
%
% cnf(163364568,plain,(n1(b,b,b)),inference(resolution,[status(thm)],[151413712,150646424]),[]).
%
% fof(rule_301,plain,(k5(b)|~s4(e)|~n1(b,b,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN116-1.tptp',unknown),[]).
%
% cnf(154550040,plain,(k5(b)|~s4(e)|~n1(b,b,b)),inference(rewrite,[status(thm)],[rule_301]),[]).
%
% fof(prove_this,plain,(~k5(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN116-1.tptp',unknown),[]).
%
% cnf(154970704,plain,(~k5(b)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(166110160,plain,(~s4(e)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163364568,154550040,154970704]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[164262424,172977568,166110160]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------