TSTP Solution File: SWC349-1 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWC349-1 : TPTP v3.4.2. Released v2.4.0.
% 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 16:16:11 EDT 2009
% Result : Unsatisfiable 1.4s
% Output : Refutation 1.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 12 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 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 : 4 ( 4 usr; 4 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_2,plain,
sslist(sk2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349-1.tptp',unknown),
[] ).
cnf(161743752,plain,
sslist(sk2),
inference(rewrite,[status(thm)],[co1_2]),
[] ).
fof(clause60,plain,
! [A] :
( ~ sslist(A)
| frontsegp(A,nil) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349-1.tptp',unknown),
[] ).
cnf(159904640,plain,
( ~ sslist(A)
| frontsegp(A,nil) ),
inference(rewrite,[status(thm)],[clause60]),
[] ).
cnf(203280936,plain,
frontsegp(sk2,nil),
inference(resolution,[status(thm)],[161743752,159904640]),
[] ).
fof(co1_5,plain,
$equal(sk3,nil),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349-1.tptp',unknown),
[] ).
cnf(161768136,plain,
$equal(sk3,nil),
inference(rewrite,[status(thm)],[co1_5]),
[] ).
cnf(221401464,plain,
frontsegp(sk2,sk3),
inference(paramodulation,[status(thm)],[203280936,161768136,theory(equality)]),
[] ).
fof(co1_9,plain,
~ frontsegp(sk2,sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349-1.tptp',unknown),
[] ).
cnf(161803768,plain,
~ frontsegp(sk2,sk1),
inference(rewrite,[status(thm)],[co1_9]),
[] ).
fof(co1_7,plain,
$equal(sk3,sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349-1.tptp',unknown),
[] ).
cnf(161783368,plain,
$equal(sk3,sk1),
inference(rewrite,[status(thm)],[co1_7]),
[] ).
cnf(220435656,plain,
~ frontsegp(sk2,sk3),
inference(paramodulation,[status(thm)],[161803768,161783368,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[221401464,220435656]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(co1_2,plain,(sslist(sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349-1.tptp',unknown),[]).
%
% cnf(161743752,plain,(sslist(sk2)),inference(rewrite,[status(thm)],[co1_2]),[]).
%
% fof(clause60,plain,(~sslist(A)|frontsegp(A,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349-1.tptp',unknown),[]).
%
% cnf(159904640,plain,(~sslist(A)|frontsegp(A,nil)),inference(rewrite,[status(thm)],[clause60]),[]).
%
% cnf(203280936,plain,(frontsegp(sk2,nil)),inference(resolution,[status(thm)],[161743752,159904640]),[]).
%
% fof(co1_5,plain,($equal(sk3,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349-1.tptp',unknown),[]).
%
% cnf(161768136,plain,($equal(sk3,nil)),inference(rewrite,[status(thm)],[co1_5]),[]).
%
% cnf(221401464,plain,(frontsegp(sk2,sk3)),inference(paramodulation,[status(thm)],[203280936,161768136,theory(equality)]),[]).
%
% fof(co1_9,plain,(~frontsegp(sk2,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349-1.tptp',unknown),[]).
%
% cnf(161803768,plain,(~frontsegp(sk2,sk1)),inference(rewrite,[status(thm)],[co1_9]),[]).
%
% fof(co1_7,plain,($equal(sk3,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC349-1.tptp',unknown),[]).
%
% cnf(161783368,plain,($equal(sk3,sk1)),inference(rewrite,[status(thm)],[co1_7]),[]).
%
% cnf(220435656,plain,(~frontsegp(sk2,sk3)),inference(paramodulation,[status(thm)],[161803768,161783368,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[221401464,220435656]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------