%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN169-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.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 17:05:34 EDT 2009
% Result : Unsatisfiable 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 16 ( 5 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_072,plain,
! [A,B] :
( p1(A,A,A)
| ~ s0(B)
| ~ s0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN169-1.tptp',unknown),
[] ).
cnf(164301912,plain,
( p1(A,A,A)
| ~ s0(B)
| ~ s0(A) ),
inference(rewrite,[status(thm)],[rule_072]),
[] ).
fof(axiom_1,plain,
s0(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN169-1.tptp',unknown),
[] ).
cnf(163287304,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(176003360,plain,
p1(d,d,d),
inference(resolution,[status(thm)],[164301912,163287304]),
[] ).
fof(rule_137,plain,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN169-1.tptp',unknown),
[] ).
cnf(164978304,plain,
( n2(A)
| ~ p1(B,C,A) ),
inference(rewrite,[status(thm)],[rule_137]),
[] ).
cnf(180161008,plain,
n2(d),
inference(resolution,[status(thm)],[176003360,164978304]),
[] ).
fof(prove_this,plain,
! [A,B] : ~ p3(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN169-1.tptp',unknown),
[] ).
cnf(167671592,plain,
~ p3(A,d,B),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_244,plain,
! [A] :
( p3(A,A,A)
| ~ n2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN169-1.tptp',unknown),
[] ).
cnf(166458400,plain,
( p3(A,A,A)
| ~ n2(A) ),
inference(rewrite,[status(thm)],[rule_244]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[180161008,167671592,166458400]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(rule_072,plain,(p1(A,A,A)|~s0(B)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN169-1.tptp',unknown),[]).
%
% cnf(164301912,plain,(p1(A,A,A)|~s0(B)|~s0(A)),inference(rewrite,[status(thm)],[rule_072]),[]).
%
% fof(axiom_1,plain,(s0(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN169-1.tptp',unknown),[]).
%
% cnf(163287304,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(176003360,plain,(p1(d,d,d)),inference(resolution,[status(thm)],[164301912,163287304]),[]).
%
% fof(rule_137,plain,(n2(A)|~p1(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN169-1.tptp',unknown),[]).
%
% cnf(164978304,plain,(n2(A)|~p1(B,C,A)),inference(rewrite,[status(thm)],[rule_137]),[]).
%
% cnf(180161008,plain,(n2(d)),inference(resolution,[status(thm)],[176003360,164978304]),[]).
%
% fof(prove_this,plain,(~p3(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN169-1.tptp',unknown),[]).
%
% cnf(167671592,plain,(~p3(A,d,B)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_244,plain,(p3(A,A,A)|~n2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN169-1.tptp',unknown),[]).
%
% cnf(166458400,plain,(p3(A,A,A)|~n2(A)),inference(rewrite,[status(thm)],[rule_244]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[180161008,167671592,166458400]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------