%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWC367-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.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 16:17:24 EDT 2009
% Result : Unsatisfiable 1.6s
% Output : Refutation 1.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 13 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(co1_4,plain,
sslist(sk4),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC367-1.tptp',unknown),
[] ).
cnf(153115136,plain,
sslist(sk4),
inference(rewrite,[status(thm)],[co1_4]),
[] ).
fof(clause58,plain,
! [A] :
( ~ sslist(A)
| rearsegp(A,nil) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC367-1.tptp',unknown),
[] ).
cnf(151245128,plain,
( ~ sslist(A)
| rearsegp(A,nil) ),
inference(rewrite,[status(thm)],[clause58]),
[] ).
cnf(198305280,plain,
rearsegp(sk4,nil),
inference(resolution,[status(thm)],[153115136,151245128]),
[] ).
fof(co1_11,plain,
( $equal(sk3,nil)
| rearsegp(sk4,sk3) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC367-1.tptp',unknown),
[] ).
cnf(153181136,plain,
( $equal(sk3,nil)
| rearsegp(sk4,sk3) ),
inference(rewrite,[status(thm)],[co1_11]),
[] ).
cnf(224383648,plain,
rearsegp(sk4,sk3),
inference(paramodulation,[status(thm)],[198305280,153181136,theory(equality)]),
[] ).
fof(co1_7,plain,
~ rearsegp(sk2,sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC367-1.tptp',unknown),
[] ).
cnf(153140328,plain,
~ rearsegp(sk2,sk1),
inference(rewrite,[status(thm)],[co1_7]),
[] ).
fof(co1_5,plain,
$equal(sk4,sk2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC367-1.tptp',unknown),
[] ).
cnf(153125112,plain,
$equal(sk4,sk2),
inference(rewrite,[status(thm)],[co1_5]),
[] ).
cnf(222610120,plain,
~ rearsegp(sk4,sk1),
inference(paramodulation,[status(thm)],[153140328,153125112,theory(equality)]),
[] ).
fof(co1_6,plain,
$equal(sk3,sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC367-1.tptp',unknown),
[] ).
cnf(150826880,plain,
$equal(sk3,sk1),
inference(rewrite,[status(thm)],[co1_6]),
[] ).
cnf(222644952,plain,
~ rearsegp(sk4,sk3),
inference(paramodulation,[status(thm)],[222610120,150826880,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[224383648,222644952]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(co1_4,plain,(sslist(sk4)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC367-1.tptp',unknown),[]).
%
% cnf(153115136,plain,(sslist(sk4)),inference(rewrite,[status(thm)],[co1_4]),[]).
%
% fof(clause58,plain,(~sslist(A)|rearsegp(A,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC367-1.tptp',unknown),[]).
%
% cnf(151245128,plain,(~sslist(A)|rearsegp(A,nil)),inference(rewrite,[status(thm)],[clause58]),[]).
%
% cnf(198305280,plain,(rearsegp(sk4,nil)),inference(resolution,[status(thm)],[153115136,151245128]),[]).
%
% fof(co1_11,plain,($equal(sk3,nil)|rearsegp(sk4,sk3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC367-1.tptp',unknown),[]).
%
% cnf(153181136,plain,($equal(sk3,nil)|rearsegp(sk4,sk3)),inference(rewrite,[status(thm)],[co1_11]),[]).
%
% cnf(224383648,plain,(rearsegp(sk4,sk3)),inference(paramodulation,[status(thm)],[198305280,153181136,theory(equality)]),[]).
%
% fof(co1_7,plain,(~rearsegp(sk2,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC367-1.tptp',unknown),[]).
%
% cnf(153140328,plain,(~rearsegp(sk2,sk1)),inference(rewrite,[status(thm)],[co1_7]),[]).
%
% fof(co1_5,plain,($equal(sk4,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC367-1.tptp',unknown),[]).
%
% cnf(153125112,plain,($equal(sk4,sk2)),inference(rewrite,[status(thm)],[co1_5]),[]).
%
% cnf(222610120,plain,(~rearsegp(sk4,sk1)),inference(paramodulation,[status(thm)],[153140328,153125112,theory(equality)]),[]).
%
% fof(co1_6,plain,($equal(sk3,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC367-1.tptp',unknown),[]).
%
% cnf(150826880,plain,($equal(sk3,sk1)),inference(rewrite,[status(thm)],[co1_6]),[]).
%
% cnf(222644952,plain,(~rearsegp(sk4,sk3)),inference(paramodulation,[status(thm)],[222610120,150826880,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[224383648,222644952]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------