%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN124-1 : 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 16:50:54 EDT 2009
% Result : Unsatisfiable 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 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 : 14 ( 4 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_136,plain,
( m2(b)
| ~ k1(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN124-1.tptp',unknown),
[] ).
cnf(180251424,plain,
( m2(b)
| ~ k1(b) ),
inference(rewrite,[status(thm)],[rule_136]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN124-1.tptp',unknown),
[] ).
cnf(178781800,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/SYN124-1.tptp',unknown),
[] ).
cnf(178621224,plain,
n0(d,b),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
cnf(192568536,plain,
k1(b),
inference(resolution,[status(thm)],[178781800,178621224]),
[] ).
cnf(192641248,plain,
m2(b),
inference(resolution,[status(thm)],[180251424,192568536]),
[] ).
fof(rule_217,plain,
! [A] :
( l3(A,A)
| ~ n2(A)
| ~ m2(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN124-1.tptp',unknown),
[] ).
cnf(181351496,plain,
( l3(A,A)
| ~ n2(A)
| ~ m2(b) ),
inference(rewrite,[status(thm)],[rule_217]),
[] ).
fof(rule_137,plain,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN124-1.tptp',unknown),
[] ).
cnf(180264488,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/SYN124-1.tptp',unknown),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN124-1.tptp',unknown),
[] ).
cnf(178661536,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(179594184,plain,
p1(a,a,a),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,178661536]),
[] ).
cnf(194512168,plain,
n2(a),
inference(resolution,[status(thm)],[180264488,179594184]),
[] ).
cnf(194599688,plain,
l3(a,a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[192641248,181351496,194512168]),
[] ).
fof(prove_this,plain,
~ l3(a,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN124-1.tptp',unknown),
[] ).
cnf(182957872,plain,
~ l3(a,a),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[194599688,182957872]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(rule_136,plain,(m2(b)|~k1(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN124-1.tptp',unknown),[]).
%
% cnf(180251424,plain,(m2(b)|~k1(b)),inference(rewrite,[status(thm)],[rule_136]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN124-1.tptp',unknown),[]).
%
% cnf(178781800,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/SYN124-1.tptp',unknown),[]).
%
% cnf(178621224,plain,(n0(d,b)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% cnf(192568536,plain,(k1(b)),inference(resolution,[status(thm)],[178781800,178621224]),[]).
%
% cnf(192641248,plain,(m2(b)),inference(resolution,[status(thm)],[180251424,192568536]),[]).
%
% fof(rule_217,plain,(l3(A,A)|~n2(A)|~m2(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN124-1.tptp',unknown),[]).
%
% cnf(181351496,plain,(l3(A,A)|~n2(A)|~m2(b)),inference(rewrite,[status(thm)],[rule_217]),[]).
%
% fof(rule_137,plain,(n2(A)|~p1(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN124-1.tptp',unknown),[]).
%
% cnf(180264488,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/SYN124-1.tptp',unknown),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN124-1.tptp',unknown),[]).
%
% cnf(178661536,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(179594184,plain,(p1(a,a,a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,178661536]),[]).
%
% cnf(194512168,plain,(n2(a)),inference(resolution,[status(thm)],[180264488,179594184]),[]).
%
% cnf(194599688,plain,(l3(a,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[192641248,181351496,194512168]),[]).
%
% fof(prove_this,plain,(~l3(a,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN124-1.tptp',unknown),[]).
%
% cnf(182957872,plain,(~l3(a,a)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[194599688,182957872]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------