%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN230-1 : 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 17:18:31 EDT 2009
% Result : Unsatisfiable 0.4s
% Output : Refutation 0.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% 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 : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 20 ( 6 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN230-1.tptp',unknown),
[] ).
cnf(176722344,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
fof(axiom_7,plain,
n0(d,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN230-1.tptp',unknown),
[] ).
cnf(176561768,plain,
n0(d,b),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
cnf(193361280,plain,
k1(b),
inference(resolution,[status(thm)],[176722344,176561768]),
[] ).
fof(rule_136,plain,
( m2(b)
| ~ k1(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN230-1.tptp',unknown),
[] ).
cnf(178191968,plain,
( m2(b)
| ~ k1(b) ),
inference(rewrite,[status(thm)],[rule_136]),
[] ).
cnf(193405808,plain,
m2(b),
inference(resolution,[status(thm)],[193361280,178191968]),
[] ).
fof(rule_137,plain,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN230-1.tptp',unknown),
[] ).
cnf(178205032,plain,
( n2(A)
| ~ p1(B,C,A) ),
inference(rewrite,[status(thm)],[rule_137]),
[] ).
fof(rule_085,plain,
! [A,B] :
( p1(A,A,A)
| ~ p0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN230-1.tptp',unknown),
[] ).
cnf(177663728,plain,
( p1(A,A,A)
| ~ p0(B,A) ),
inference(rewrite,[status(thm)],[rule_085]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN230-1.tptp',unknown),
[] ).
cnf(176602080,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(190639944,plain,
p1(A,A,A),
inference(resolution,[status(thm)],[177663728,176602080]),
[] ).
cnf(193528200,plain,
n2(A),
inference(resolution,[status(thm)],[178205032,190639944]),
[] ).
fof(prove_this,plain,
~ l3(c,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN230-1.tptp',unknown),
[] ).
cnf(180898288,plain,
~ l3(c,c),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_217,plain,
! [A] :
( l3(A,A)
| ~ n2(A)
| ~ m2(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN230-1.tptp',unknown),
[] ).
cnf(179292040,plain,
( l3(A,A)
| ~ n2(A)
| ~ m2(b) ),
inference(rewrite,[status(thm)],[rule_217]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[193405808,193528200,180898288,179292040]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN230-1.tptp',unknown),[]).
%
% cnf(176722344,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% fof(axiom_7,plain,(n0(d,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN230-1.tptp',unknown),[]).
%
% cnf(176561768,plain,(n0(d,b)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% cnf(193361280,plain,(k1(b)),inference(resolution,[status(thm)],[176722344,176561768]),[]).
%
% fof(rule_136,plain,(m2(b)|~k1(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN230-1.tptp',unknown),[]).
%
% cnf(178191968,plain,(m2(b)|~k1(b)),inference(rewrite,[status(thm)],[rule_136]),[]).
%
% cnf(193405808,plain,(m2(b)),inference(resolution,[status(thm)],[193361280,178191968]),[]).
%
% fof(rule_137,plain,(n2(A)|~p1(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN230-1.tptp',unknown),[]).
%
% cnf(178205032,plain,(n2(A)|~p1(B,C,A)),inference(rewrite,[status(thm)],[rule_137]),[]).
%
% fof(rule_085,plain,(p1(A,A,A)|~p0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN230-1.tptp',unknown),[]).
%
% cnf(177663728,plain,(p1(A,A,A)|~p0(B,A)),inference(rewrite,[status(thm)],[rule_085]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN230-1.tptp',unknown),[]).
%
% cnf(176602080,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(190639944,plain,(p1(A,A,A)),inference(resolution,[status(thm)],[177663728,176602080]),[]).
%
% cnf(193528200,plain,(n2(A)),inference(resolution,[status(thm)],[178205032,190639944]),[]).
%
% fof(prove_this,plain,(~l3(c,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN230-1.tptp',unknown),[]).
%
% cnf(180898288,plain,(~l3(c,c)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_217,plain,(l3(A,A)|~n2(A)|~m2(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN230-1.tptp',unknown),[]).
%
% cnf(179292040,plain,(l3(A,A)|~n2(A)|~m2(b)),inference(rewrite,[status(thm)],[rule_217]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[193405808,193528200,180898288,179292040]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------