%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN179-1 : 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 17:07:51 EDT 2009
% Result : Unsatisfiable 1.4s
% Output : Refutation 1.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 21
% Syntax : Number of formulae : 58 ( 30 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 111 ( 58 ~; 53 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 74 ( 16 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
! [A] : ~ q3(d,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),
[] ).
cnf(182843280,plain,
~ q3(d,A),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_092,plain,
! [A,B,C,D] :
( q1(A,B,A)
| ~ n0(C,B)
| ~ p0(D,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),
[] ).
cnf(179661304,plain,
( q1(A,B,A)
| ~ n0(C,B)
| ~ p0(D,A) ),
inference(rewrite,[status(thm)],[rule_092]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),
[] ).
cnf(178546888,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(192744176,plain,
( q1(A,B,A)
| ~ n0(C,B) ),
inference(resolution,[status(thm)],[179661304,178546888]),
[] ).
fof(axiom_7,plain,
n0(d,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),
[] ).
cnf(178506576,plain,
n0(d,b),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
cnf(192748392,plain,
q1(A,b,A),
inference(resolution,[status(thm)],[192744176,178506576]),
[] ).
fof(rule_124,plain,
! [A,B] :
( r1(A)
| ~ q0(A,B)
| ~ s0(d)
| ~ q1(d,B,d) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),
[] ).
fof(axiom_1,plain,
s0(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),
[] ).
cnf(178458840,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(179961944,plain,
( r1(A)
| ~ q0(A,B)
| ~ q1(d,B,d) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,178458840]),
[] ).
fof(axiom_29,plain,
q0(d,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),
[] ).
cnf(178623464,plain,
q0(d,b),
inference(rewrite,[status(thm)],[axiom_29]),
[] ).
cnf(193313496,plain,
r1(d),
inference(forward_subsumption_resolution__resolution,[status(thm)],[192748392,179961944,178623464]),
[] ).
fof(rule_126,plain,
! [A,B,C] :
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),
[] ).
cnf(179986264,plain,
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
inference(rewrite,[status(thm)],[rule_126]),
[] ).
fof(rule_125,plain,
! [A] :
( s1(A)
| ~ p0(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),
[] ).
cnf(179974120,plain,
( s1(A)
| ~ p0(A,A) ),
inference(rewrite,[status(thm)],[rule_125]),
[] ).
cnf(192652816,plain,
s1(b),
inference(resolution,[status(thm)],[179974120,178546888]),
[] ).
cnf(192958792,plain,
( s1(A)
| ~ q0(A,B) ),
inference(resolution,[status(thm)],[179986264,192652816]),
[] ).
cnf(193308144,plain,
s1(d),
inference(resolution,[status(thm)],[192958792,178623464]),
[] ).
fof(rule_257,plain,
! [A,B,C] :
( q3(A,B)
| ~ n1(C,A,B)
| ~ s2(A)
| ~ q3(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),
[] ).
cnf(181796672,plain,
( q3(A,B)
| ~ n1(C,A,B)
| ~ s2(A)
| ~ q3(B,A) ),
inference(rewrite,[status(thm)],[rule_257]),
[] ).
fof(rule_191,plain,
( s2(d)
| ~ r1(d)
| ~ s1(d) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),
[] ).
cnf(180892408,plain,
( s2(d)
| ~ r1(d)
| ~ s1(d) ),
inference(rewrite,[status(thm)],[rule_191]),
[] ).
cnf(197167768,plain,
( ~ n1(B,d,A)
| ~ q3(A,d) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[182843280,193313496,193308144,181796672,180892408]),
[] ).
fof(rule_050,plain,
! [A,B] :
( n1(A,B,A)
| ~ s0(b)
| ~ l0(A)
| ~ p0(b,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),
[] ).
fof(axiom_5,plain,
s0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),
[] ).
cnf(178499088,plain,
s0(b),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(179195352,plain,
( n1(A,B,A)
| ~ l0(A) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_050,178546888,178499088]),
[] ).
cnf(197203064,plain,
( ~ q3(A,d)
| ~ l0(A) ),
inference(resolution,[status(thm)],[197167768,179195352]),
[] ).
fof(axiom_24,plain,
l0(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),
[] ).
cnf(178592240,plain,
l0(c),
inference(rewrite,[status(thm)],[axiom_24]),
[] ).
cnf(197230640,plain,
~ q3(c,d),
inference(resolution,[status(thm)],[197203064,178592240]),
[] ).
fof(axiom_26,plain,
n0(d,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),
[] ).
cnf(178596056,plain,
n0(d,c),
inference(rewrite,[status(thm)],[axiom_26]),
[] ).
fof(rule_255,plain,
! [A,B,C] :
( q3(A,B)
| ~ q2(C,A,B)
| ~ n0(C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),
[] ).
cnf(181765104,plain,
( q3(A,B)
| ~ q2(C,A,B)
| ~ n0(C,A) ),
inference(rewrite,[status(thm)],[rule_255]),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),
[] ).
cnf(178569656,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
fof(rule_133,plain,
! [A,B,C,D] :
( l2(A,A)
| ~ p0(B,B)
| ~ s1(C)
| ~ m0(D,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),
[] ).
cnf(180095208,plain,
( l2(A,A)
| ~ p0(B,B)
| ~ s1(C)
| ~ m0(D,C,A) ),
inference(rewrite,[status(thm)],[rule_133]),
[] ).
cnf(192852432,plain,
( l2(A,A)
| ~ s1(B)
| ~ m0(C,B,A) ),
inference(resolution,[status(thm)],[180095208,178546888]),
[] ).
cnf(204211064,plain,
l2(A,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[178569656,192852432,193308144]),
[] ).
fof(rule_183,plain,
! [A,B] :
( q2(A,c,B)
| ~ k1(B)
| ~ l0(c)
| ~ l2(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),
[] ).
cnf(180775560,plain,
( q2(A,c,B)
| ~ k1(B)
| ~ l2(B,A) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_183,178592240]),
[] ).
fof(axiom_34,plain,
n0(c,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),
[] ).
cnf(178641928,plain,
n0(c,d),
inference(rewrite,[status(thm)],[axiom_34]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),
[] ).
cnf(178667152,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
cnf(195465904,plain,
k1(d),
inference(resolution,[status(thm)],[178641928,178667152]),
[] ).
cnf(201044936,plain,
( q2(A,c,d)
| ~ l2(d,A) ),
inference(resolution,[status(thm)],[180775560,195465904]),
[] ).
cnf(206363720,plain,
q2(d,c,d),
inference(resolution,[status(thm)],[204211064,201044936]),
[] ).
cnf(215208488,plain,
q3(c,d),
inference(forward_subsumption_resolution__resolution,[status(thm)],[178596056,181765104,206363720]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[197230640,215208488]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~q3(d,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),[]).
%
% cnf(182843280,plain,(~q3(d,A)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_092,plain,(q1(A,B,A)|~n0(C,B)|~p0(D,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),[]).
%
% cnf(179661304,plain,(q1(A,B,A)|~n0(C,B)|~p0(D,A)),inference(rewrite,[status(thm)],[rule_092]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),[]).
%
% cnf(178546888,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(192744176,plain,(q1(A,B,A)|~n0(C,B)),inference(resolution,[status(thm)],[179661304,178546888]),[]).
%
% fof(axiom_7,plain,(n0(d,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),[]).
%
% cnf(178506576,plain,(n0(d,b)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% cnf(192748392,plain,(q1(A,b,A)),inference(resolution,[status(thm)],[192744176,178506576]),[]).
%
% fof(rule_124,plain,(r1(A)|~q0(A,B)|~s0(d)|~q1(d,B,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),[]).
%
% fof(axiom_1,plain,(s0(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),[]).
%
% cnf(178458840,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(179961944,plain,(r1(A)|~q0(A,B)|~q1(d,B,d)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,178458840]),[]).
%
% fof(axiom_29,plain,(q0(d,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),[]).
%
% cnf(178623464,plain,(q0(d,b)),inference(rewrite,[status(thm)],[axiom_29]),[]).
%
% cnf(193313496,plain,(r1(d)),inference(forward_subsumption_resolution__resolution,[status(thm)],[192748392,179961944,178623464]),[]).
%
% fof(rule_126,plain,(s1(A)|~q0(A,B)|~s1(C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),[]).
%
% cnf(179986264,plain,(s1(A)|~q0(A,B)|~s1(C)),inference(rewrite,[status(thm)],[rule_126]),[]).
%
% fof(rule_125,plain,(s1(A)|~p0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),[]).
%
% cnf(179974120,plain,(s1(A)|~p0(A,A)),inference(rewrite,[status(thm)],[rule_125]),[]).
%
% cnf(192652816,plain,(s1(b)),inference(resolution,[status(thm)],[179974120,178546888]),[]).
%
% cnf(192958792,plain,(s1(A)|~q0(A,B)),inference(resolution,[status(thm)],[179986264,192652816]),[]).
%
% cnf(193308144,plain,(s1(d)),inference(resolution,[status(thm)],[192958792,178623464]),[]).
%
% fof(rule_257,plain,(q3(A,B)|~n1(C,A,B)|~s2(A)|~q3(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),[]).
%
% cnf(181796672,plain,(q3(A,B)|~n1(C,A,B)|~s2(A)|~q3(B,A)),inference(rewrite,[status(thm)],[rule_257]),[]).
%
% fof(rule_191,plain,(s2(d)|~r1(d)|~s1(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),[]).
%
% cnf(180892408,plain,(s2(d)|~r1(d)|~s1(d)),inference(rewrite,[status(thm)],[rule_191]),[]).
%
% cnf(197167768,plain,(~n1(B,d,A)|~q3(A,d)),inference(forward_subsumption_resolution__resolution,[status(thm)],[182843280,193313496,193308144,181796672,180892408]),[]).
%
% fof(rule_050,plain,(n1(A,B,A)|~s0(b)|~l0(A)|~p0(b,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),[]).
%
% fof(axiom_5,plain,(s0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),[]).
%
% cnf(178499088,plain,(s0(b)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(179195352,plain,(n1(A,B,A)|~l0(A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_050,178546888,178499088]),[]).
%
% cnf(197203064,plain,(~q3(A,d)|~l0(A)),inference(resolution,[status(thm)],[197167768,179195352]),[]).
%
% fof(axiom_24,plain,(l0(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),[]).
%
% cnf(178592240,plain,(l0(c)),inference(rewrite,[status(thm)],[axiom_24]),[]).
%
% cnf(197230640,plain,(~q3(c,d)),inference(resolution,[status(thm)],[197203064,178592240]),[]).
%
% fof(axiom_26,plain,(n0(d,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),[]).
%
% cnf(178596056,plain,(n0(d,c)),inference(rewrite,[status(thm)],[axiom_26]),[]).
%
% fof(rule_255,plain,(q3(A,B)|~q2(C,A,B)|~n0(C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),[]).
%
% cnf(181765104,plain,(q3(A,B)|~q2(C,A,B)|~n0(C,A)),inference(rewrite,[status(thm)],[rule_255]),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),[]).
%
% cnf(178569656,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% fof(rule_133,plain,(l2(A,A)|~p0(B,B)|~s1(C)|~m0(D,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),[]).
%
% cnf(180095208,plain,(l2(A,A)|~p0(B,B)|~s1(C)|~m0(D,C,A)),inference(rewrite,[status(thm)],[rule_133]),[]).
%
% cnf(192852432,plain,(l2(A,A)|~s1(B)|~m0(C,B,A)),inference(resolution,[status(thm)],[180095208,178546888]),[]).
%
% cnf(204211064,plain,(l2(A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[178569656,192852432,193308144]),[]).
%
% fof(rule_183,plain,(q2(A,c,B)|~k1(B)|~l0(c)|~l2(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),[]).
%
% cnf(180775560,plain,(q2(A,c,B)|~k1(B)|~l2(B,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_183,178592240]),[]).
%
% fof(axiom_34,plain,(n0(c,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),[]).
%
% cnf(178641928,plain,(n0(c,d)),inference(rewrite,[status(thm)],[axiom_34]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN179-1.tptp',unknown),[]).
%
% cnf(178667152,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% cnf(195465904,plain,(k1(d)),inference(resolution,[status(thm)],[178641928,178667152]),[]).
%
% cnf(201044936,plain,(q2(A,c,d)|~l2(d,A)),inference(resolution,[status(thm)],[180775560,195465904]),[]).
%
% cnf(206363720,plain,(q2(d,c,d)),inference(resolution,[status(thm)],[204211064,201044936]),[]).
%
% cnf(215208488,plain,(q3(c,d)),inference(forward_subsumption_resolution__resolution,[status(thm)],[178596056,181765104,206363720]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[197230640,215208488]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------