TSTP Solution File: SWC287-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWC287-1 : TPTP v3.4.2. Released v2.4.0.
% 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 16:14:40 EDT 2009
% Result : Unsatisfiable 3.7s
% Output : Refutation 3.7s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 10 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 5 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(co1_9,plain,
( ssitem(sk5)
| $equal(sk3,nil) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC287-1.tptp',unknown),
[] ).
cnf(179501824,plain,
( ssitem(sk5)
| $equal(sk3,nil) ),
inference(rewrite,[status(thm)],[co1_9]),
[] ).
fof(clause66,plain,
! [A] :
( ~ ssitem(A)
| strictorderedp(cons(A,nil)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC287-1.tptp',unknown),
[] ).
cnf(177657536,plain,
( ~ ssitem(A)
| strictorderedp(cons(A,nil)) ),
inference(rewrite,[status(thm)],[clause66]),
[] ).
cnf(237520488,plain,
( $equal(sk3,nil)
| strictorderedp(cons(sk5,nil)) ),
inference(resolution,[status(thm)],[179501824,177657536]),
[] ).
fof(co1_7,plain,
~ strictorderedp(sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC287-1.tptp',unknown),
[] ).
cnf(179484376,plain,
~ strictorderedp(sk1),
inference(rewrite,[status(thm)],[co1_7]),
[] ).
fof(co1_6,plain,
$equal(sk3,sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC287-1.tptp',unknown),
[] ).
cnf(177158136,plain,
$equal(sk3,sk1),
inference(rewrite,[status(thm)],[co1_6]),
[] ).
cnf(279869672,plain,
~ strictorderedp(sk3),
inference(paramodulation,[status(thm)],[179484376,177158136,theory(equality)]),
[] ).
fof(co1_13,plain,
( $equal(cons(sk5,nil),sk3)
| $equal(sk3,nil) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC287-1.tptp',unknown),
[] ).
cnf(179552456,plain,
( $equal(cons(sk5,nil),sk3)
| $equal(sk3,nil) ),
inference(rewrite,[status(thm)],[co1_13]),
[] ).
cnf(279892000,plain,
$equal(sk3,nil),
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[237520488,279869672,179552456,theory(equality)]),
[] ).
fof(clause3,plain,
strictorderedp(nil),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC287-1.tptp',unknown),
[] ).
cnf(177188008,plain,
strictorderedp(nil),
inference(rewrite,[status(thm)],[clause3]),
[] ).
cnf(280099192,plain,
strictorderedp(sk3),
inference(paramodulation,[status(thm)],[279892000,177188008,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[280099192,279869672]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 4 seconds
% START OF PROOF SEQUENCE
% fof(co1_9,plain,(ssitem(sk5)|$equal(sk3,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC287-1.tptp',unknown),[]).
%
% cnf(179501824,plain,(ssitem(sk5)|$equal(sk3,nil)),inference(rewrite,[status(thm)],[co1_9]),[]).
%
% fof(clause66,plain,(~ssitem(A)|strictorderedp(cons(A,nil))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC287-1.tptp',unknown),[]).
%
% cnf(177657536,plain,(~ssitem(A)|strictorderedp(cons(A,nil))),inference(rewrite,[status(thm)],[clause66]),[]).
%
% cnf(237520488,plain,($equal(sk3,nil)|strictorderedp(cons(sk5,nil))),inference(resolution,[status(thm)],[179501824,177657536]),[]).
%
% fof(co1_7,plain,(~strictorderedp(sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC287-1.tptp',unknown),[]).
%
% cnf(179484376,plain,(~strictorderedp(sk1)),inference(rewrite,[status(thm)],[co1_7]),[]).
%
% fof(co1_6,plain,($equal(sk3,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC287-1.tptp',unknown),[]).
%
% cnf(177158136,plain,($equal(sk3,sk1)),inference(rewrite,[status(thm)],[co1_6]),[]).
%
% cnf(279869672,plain,(~strictorderedp(sk3)),inference(paramodulation,[status(thm)],[179484376,177158136,theory(equality)]),[]).
%
% fof(co1_13,plain,($equal(cons(sk5,nil),sk3)|$equal(sk3,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC287-1.tptp',unknown),[]).
%
% cnf(179552456,plain,($equal(cons(sk5,nil),sk3)|$equal(sk3,nil)),inference(rewrite,[status(thm)],[co1_13]),[]).
%
% cnf(279892000,plain,($equal(sk3,nil)),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[237520488,279869672,179552456,theory(equality)]),[]).
%
% fof(clause3,plain,(strictorderedp(nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC287-1.tptp',unknown),[]).
%
% cnf(177188008,plain,(strictorderedp(nil)),inference(rewrite,[status(thm)],[clause3]),[]).
%
% cnf(280099192,plain,(strictorderedp(sk3)),inference(paramodulation,[status(thm)],[279892000,177188008,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[280099192,279869672]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------