%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN261-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art09.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 17:32:41 EDT 2009
% Result : Unsatisfiable 0.4s
% Output : Refutation 0.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 20 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 34 ( 13 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
! [A] : ~ p1(b,A,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN261-1.tptp',unknown),
[] ).
cnf(152991656,plain,
~ p1(b,A,b),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_071,plain,
! [A,B,C,D] :
( p1(A,B,A)
| ~ l0(C)
| ~ p1(B,D,A)
| ~ s0(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN261-1.tptp',unknown),
[] ).
fof(axiom_5,plain,
s0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN261-1.tptp',unknown),
[] ).
cnf(148647464,plain,
s0(b),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(149609136,plain,
( p1(A,B,A)
| ~ l0(C)
| ~ p1(B,D,A) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_071,148647464]),
[] ).
fof(axiom_20,plain,
l0(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN261-1.tptp',unknown),
[] ).
cnf(148722392,plain,
l0(a),
inference(rewrite,[status(thm)],[axiom_20]),
[] ).
cnf(161881824,plain,
( p1(A,B,A)
| ~ p1(B,C,A) ),
inference(resolution,[status(thm)],[149609136,148722392]),
[] ).
fof(rule_082,plain,
! [A,B,C,D] :
( p1(A,B,C)
| ~ m0(C,A,D)
| ~ p1(C,A,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN261-1.tptp',unknown),
[] ).
cnf(149713512,plain,
( p1(A,B,C)
| ~ m0(C,A,D)
| ~ p1(C,A,D) ),
inference(rewrite,[status(thm)],[rule_082]),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN261-1.tptp',unknown),
[] ).
cnf(148718032,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(165542352,plain,
( p1(d,A,B)
| ~ p1(B,d,C) ),
inference(resolution,[status(thm)],[149713512,148718032]),
[] ).
fof(axiom_12,plain,
! [A] : m0(a,A,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN261-1.tptp',unknown),
[] ).
cnf(148687664,plain,
m0(a,A,a),
inference(rewrite,[status(thm)],[axiom_12]),
[] ).
fof(rule_087,plain,
( p1(a,b,a)
| ~ r0(b)
| ~ p1(a,a,a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN261-1.tptp',unknown),
[] ).
fof(rule_075,plain,
( p1(a,a,a)
| ~ p0(b,a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN261-1.tptp',unknown),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN261-1.tptp',unknown),
[] ).
cnf(148695264,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(149627912,plain,
p1(a,a,a),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,148695264]),
[] ).
fof(axiom_9,plain,
r0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN261-1.tptp',unknown),
[] ).
cnf(148667320,plain,
r0(b),
inference(rewrite,[status(thm)],[axiom_9]),
[] ).
cnf(149766760,plain,
p1(a,b,a),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_087,149627912,148667320]),
[] ).
cnf(166128200,plain,
p1(b,A,a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[148687664,149713512,149766760]),
[] ).
cnf(166227520,plain,
p1(d,A,b),
inference(resolution,[status(thm)],[165542352,166128200]),
[] ).
cnf(166431160,plain,
p1(b,d,b),
inference(resolution,[status(thm)],[161881824,166227520]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[152991656,166431160]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~p1(b,A,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN261-1.tptp',unknown),[]).
%
% cnf(152991656,plain,(~p1(b,A,b)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_071,plain,(p1(A,B,A)|~l0(C)|~p1(B,D,A)|~s0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN261-1.tptp',unknown),[]).
%
% fof(axiom_5,plain,(s0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN261-1.tptp',unknown),[]).
%
% cnf(148647464,plain,(s0(b)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(149609136,plain,(p1(A,B,A)|~l0(C)|~p1(B,D,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_071,148647464]),[]).
%
% fof(axiom_20,plain,(l0(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN261-1.tptp',unknown),[]).
%
% cnf(148722392,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
%
% cnf(161881824,plain,(p1(A,B,A)|~p1(B,C,A)),inference(resolution,[status(thm)],[149609136,148722392]),[]).
%
% fof(rule_082,plain,(p1(A,B,C)|~m0(C,A,D)|~p1(C,A,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN261-1.tptp',unknown),[]).
%
% cnf(149713512,plain,(p1(A,B,C)|~m0(C,A,D)|~p1(C,A,D)),inference(rewrite,[status(thm)],[rule_082]),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN261-1.tptp',unknown),[]).
%
% cnf(148718032,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(165542352,plain,(p1(d,A,B)|~p1(B,d,C)),inference(resolution,[status(thm)],[149713512,148718032]),[]).
%
% fof(axiom_12,plain,(m0(a,A,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN261-1.tptp',unknown),[]).
%
% cnf(148687664,plain,(m0(a,A,a)),inference(rewrite,[status(thm)],[axiom_12]),[]).
%
% fof(rule_087,plain,(p1(a,b,a)|~r0(b)|~p1(a,a,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN261-1.tptp',unknown),[]).
%
% fof(rule_075,plain,(p1(a,a,a)|~p0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN261-1.tptp',unknown),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN261-1.tptp',unknown),[]).
%
% cnf(148695264,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(149627912,plain,(p1(a,a,a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,148695264]),[]).
%
% fof(axiom_9,plain,(r0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN261-1.tptp',unknown),[]).
%
% cnf(148667320,plain,(r0(b)),inference(rewrite,[status(thm)],[axiom_9]),[]).
%
% cnf(149766760,plain,(p1(a,b,a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_087,149627912,148667320]),[]).
%
% cnf(166128200,plain,(p1(b,A,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[148687664,149713512,149766760]),[]).
%
% cnf(166227520,plain,(p1(d,A,b)),inference(resolution,[status(thm)],[165542352,166128200]),[]).
%
% cnf(166431160,plain,(p1(b,d,b)),inference(resolution,[status(thm)],[161881824,166227520]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[152991656,166431160]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------