%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN301-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art07.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 17:48:24 EDT 2009
% Result : Unsatisfiable 0.6s
% Output : Refutation 0.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 23 ( 6 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_37,plain,
n0(b,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN301-1.tptp',unknown),
[] ).
cnf(159004608,plain,
n0(b,a),
inference(rewrite,[status(thm)],[axiom_37]),
[] ).
fof(rule_002,plain,
! [A,B] :
( l1(A,A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN301-1.tptp',unknown),
[] ).
cnf(159032032,plain,
( l1(A,A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_002]),
[] ).
cnf(176413352,plain,
l1(a,a),
inference(resolution,[status(thm)],[159004608,159032032]),
[] ).
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/SYN301-1.tptp',unknown),
[] ).
cnf(162745584,plain,
( s4(A)
| ~ p3(B,C,D)
| ~ l1(A,C) ),
inference(rewrite,[status(thm)],[rule_299]),
[] ).
fof(rule_244,plain,
! [A] :
( p3(A,A,A)
| ~ n2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN301-1.tptp',unknown),
[] ).
cnf(161981360,plain,
( p3(A,A,A)
| ~ n2(A) ),
inference(rewrite,[status(thm)],[rule_244]),
[] ).
fof(rule_137,plain,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN301-1.tptp',unknown),
[] ).
cnf(160501264,plain,
( n2(A)
| ~ p1(B,C,A) ),
inference(rewrite,[status(thm)],[rule_137]),
[] ).
fof(rule_075,plain,
( p1(a,a,a)
| ~ p0(b,a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN301-1.tptp',unknown),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN301-1.tptp',unknown),
[] ).
cnf(158898312,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(159830960,plain,
p1(a,a,a),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,158898312]),
[] ).
cnf(175111200,plain,
n2(a),
inference(resolution,[status(thm)],[160501264,159830960]),
[] ).
cnf(175210176,plain,
p3(a,a,a),
inference(resolution,[status(thm)],[161981360,175111200]),
[] ).
cnf(180641336,plain,
( s4(A)
| ~ l1(A,a) ),
inference(resolution,[status(thm)],[162745584,175210176]),
[] ).
fof(prove_this,plain,
~ s4(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN301-1.tptp',unknown),
[] ).
cnf(161229984,plain,
~ s4(a),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[176413352,180641336,161229984]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(axiom_37,plain,(n0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN301-1.tptp',unknown),[]).
%
% cnf(159004608,plain,(n0(b,a)),inference(rewrite,[status(thm)],[axiom_37]),[]).
%
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN301-1.tptp',unknown),[]).
%
% cnf(159032032,plain,(l1(A,A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_002]),[]).
%
% cnf(176413352,plain,(l1(a,a)),inference(resolution,[status(thm)],[159004608,159032032]),[]).
%
% fof(rule_299,plain,(s4(A)|~p3(B,C,D)|~l1(A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN301-1.tptp',unknown),[]).
%
% cnf(162745584,plain,(s4(A)|~p3(B,C,D)|~l1(A,C)),inference(rewrite,[status(thm)],[rule_299]),[]).
%
% fof(rule_244,plain,(p3(A,A,A)|~n2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN301-1.tptp',unknown),[]).
%
% cnf(161981360,plain,(p3(A,A,A)|~n2(A)),inference(rewrite,[status(thm)],[rule_244]),[]).
%
% fof(rule_137,plain,(n2(A)|~p1(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN301-1.tptp',unknown),[]).
%
% cnf(160501264,plain,(n2(A)|~p1(B,C,A)),inference(rewrite,[status(thm)],[rule_137]),[]).
%
% fof(rule_075,plain,(p1(a,a,a)|~p0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN301-1.tptp',unknown),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN301-1.tptp',unknown),[]).
%
% cnf(158898312,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(159830960,plain,(p1(a,a,a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,158898312]),[]).
%
% cnf(175111200,plain,(n2(a)),inference(resolution,[status(thm)],[160501264,159830960]),[]).
%
% cnf(175210176,plain,(p3(a,a,a)),inference(resolution,[status(thm)],[161981360,175111200]),[]).
%
% cnf(180641336,plain,(s4(A)|~l1(A,a)),inference(resolution,[status(thm)],[162745584,175210176]),[]).
%
% fof(prove_this,plain,(~s4(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN301-1.tptp',unknown),[]).
%
% cnf(161229984,plain,(~s4(a)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[176413352,180641336,161229984]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------