TSTP Solution File: SWC406-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWC406-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.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 16:18:54 EDT 2009
% Result : Unsatisfiable 15.0s
% Output : Refutation 15.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 21 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 37 ( 20 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(co1_15,plain,
~ memberp(sk2,sk6),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC406-1.tptp',unknown),
[] ).
cnf(154055448,plain,
~ memberp(sk2,sk6),
inference(rewrite,[status(thm)],[co1_15]),
[] ).
fof(co1_5,plain,
$equal(sk4,sk2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC406-1.tptp',unknown),
[] ).
cnf(153937000,plain,
$equal(sk4,sk2),
inference(rewrite,[status(thm)],[co1_5]),
[] ).
cnf(238892832,plain,
~ memberp(sk4,sk6),
inference(paramodulation,[status(thm)],[154055448,153937000,theory(equality)]),
[] ).
fof(co1_1,plain,
sslist(sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC406-1.tptp',unknown),
[] ).
cnf(153903248,plain,
sslist(sk1),
inference(rewrite,[status(thm)],[co1_1]),
[] ).
fof(clause57,plain,
! [A] :
( ~ sslist(A)
| segmentp(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC406-1.tptp',unknown),
[] ).
cnf(152026824,plain,
( ~ sslist(A)
| segmentp(A,A) ),
inference(rewrite,[status(thm)],[clause57]),
[] ).
cnf(208745304,plain,
segmentp(sk1,sk1),
inference(resolution,[status(thm)],[153903248,152026824]),
[] ).
fof(co1_6,plain,
$equal(sk3,sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC406-1.tptp',unknown),
[] ).
cnf(151621664,plain,
$equal(sk3,sk1),
inference(rewrite,[status(thm)],[co1_6]),
[] ).
cnf(238963008,plain,
segmentp(sk3,sk1),
inference(paramodulation,[status(thm)],[208745304,151621664,theory(equality)]),
[] ).
cnf(238977256,plain,
segmentp(sk1,sk3),
inference(paramodulation,[status(thm)],[208745304,151621664,theory(equality)]),
[] ).
fof(clause127,plain,
! [A,B] :
( ~ segmentp(A,B)
| ~ segmentp(B,A)
| ~ sslist(A)
| ~ sslist(B)
| $equal(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC406-1.tptp',unknown),
[] ).
cnf(152869104,plain,
( ~ segmentp(A,B)
| ~ segmentp(B,A)
| ~ sslist(A)
| ~ sslist(B)
| $equal(A,B) ),
inference(rewrite,[status(thm)],[clause127]),
[] ).
cnf(233248888,plain,
( ~ segmentp(sk1,A)
| ~ segmentp(A,sk1)
| ~ sslist(A)
| $equal(sk1,A) ),
inference(resolution,[status(thm)],[152869104,153903248]),
[] ).
fof(co1_3,plain,
sslist(sk3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC406-1.tptp',unknown),
[] ).
cnf(153917656,plain,
sslist(sk3),
inference(rewrite,[status(thm)],[co1_3]),
[] ).
cnf(273981280,plain,
$equal(sk1,sk3),
inference(forward_subsumption_resolution__resolution,[status(thm)],[238963008,238977256,233248888,153917656]),
[] ).
fof(co1_14,plain,
memberp(sk1,sk6),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC406-1.tptp',unknown),
[] ).
cnf(154045168,plain,
memberp(sk1,sk6),
inference(rewrite,[status(thm)],[co1_14]),
[] ).
cnf(305764992,plain,
memberp(sk3,sk6),
inference(paramodulation,[status(thm)],[273981280,154045168,theory(equality)]),
[] ).
fof(co1_11,plain,
! [A] :
( ~ ssitem(A)
| ~ memberp(sk3,A)
| memberp(sk4,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC406-1.tptp',unknown),
[] ).
cnf(154012688,plain,
( ~ ssitem(A)
| ~ memberp(sk3,A)
| memberp(sk4,A) ),
inference(rewrite,[status(thm)],[co1_11]),
[] ).
fof(co1_13,plain,
ssitem(sk6),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC406-1.tptp',unknown),
[] ).
cnf(154039328,plain,
ssitem(sk6),
inference(rewrite,[status(thm)],[co1_13]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[238892832,305764992,154012688,154039328]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 14 seconds
% START OF PROOF SEQUENCE
% fof(co1_15,plain,(~memberp(sk2,sk6)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC406-1.tptp',unknown),[]).
%
% cnf(154055448,plain,(~memberp(sk2,sk6)),inference(rewrite,[status(thm)],[co1_15]),[]).
%
% fof(co1_5,plain,($equal(sk4,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC406-1.tptp',unknown),[]).
%
% cnf(153937000,plain,($equal(sk4,sk2)),inference(rewrite,[status(thm)],[co1_5]),[]).
%
% cnf(238892832,plain,(~memberp(sk4,sk6)),inference(paramodulation,[status(thm)],[154055448,153937000,theory(equality)]),[]).
%
% fof(co1_1,plain,(sslist(sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC406-1.tptp',unknown),[]).
%
% cnf(153903248,plain,(sslist(sk1)),inference(rewrite,[status(thm)],[co1_1]),[]).
%
% fof(clause57,plain,(~sslist(A)|segmentp(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC406-1.tptp',unknown),[]).
%
% cnf(152026824,plain,(~sslist(A)|segmentp(A,A)),inference(rewrite,[status(thm)],[clause57]),[]).
%
% cnf(208745304,plain,(segmentp(sk1,sk1)),inference(resolution,[status(thm)],[153903248,152026824]),[]).
%
% fof(co1_6,plain,($equal(sk3,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC406-1.tptp',unknown),[]).
%
% cnf(151621664,plain,($equal(sk3,sk1)),inference(rewrite,[status(thm)],[co1_6]),[]).
%
% cnf(238963008,plain,(segmentp(sk3,sk1)),inference(paramodulation,[status(thm)],[208745304,151621664,theory(equality)]),[]).
%
% cnf(238977256,plain,(segmentp(sk1,sk3)),inference(paramodulation,[status(thm)],[208745304,151621664,theory(equality)]),[]).
%
% fof(clause127,plain,(~segmentp(A,B)|~segmentp(B,A)|~sslist(A)|~sslist(B)|$equal(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC406-1.tptp',unknown),[]).
%
% cnf(152869104,plain,(~segmentp(A,B)|~segmentp(B,A)|~sslist(A)|~sslist(B)|$equal(A,B)),inference(rewrite,[status(thm)],[clause127]),[]).
%
% cnf(233248888,plain,(~segmentp(sk1,A)|~segmentp(A,sk1)|~sslist(A)|$equal(sk1,A)),inference(resolution,[status(thm)],[152869104,153903248]),[]).
%
% fof(co1_3,plain,(sslist(sk3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC406-1.tptp',unknown),[]).
%
% cnf(153917656,plain,(sslist(sk3)),inference(rewrite,[status(thm)],[co1_3]),[]).
%
% cnf(273981280,plain,($equal(sk1,sk3)),inference(forward_subsumption_resolution__resolution,[status(thm)],[238963008,238977256,233248888,153917656]),[]).
%
% fof(co1_14,plain,(memberp(sk1,sk6)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC406-1.tptp',unknown),[]).
%
% cnf(154045168,plain,(memberp(sk1,sk6)),inference(rewrite,[status(thm)],[co1_14]),[]).
%
% cnf(305764992,plain,(memberp(sk3,sk6)),inference(paramodulation,[status(thm)],[273981280,154045168,theory(equality)]),[]).
%
% fof(co1_11,plain,(~ssitem(A)|~memberp(sk3,A)|memberp(sk4,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC406-1.tptp',unknown),[]).
%
% cnf(154012688,plain,(~ssitem(A)|~memberp(sk3,A)|memberp(sk4,A)),inference(rewrite,[status(thm)],[co1_11]),[]).
%
% fof(co1_13,plain,(ssitem(sk6)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC406-1.tptp',unknown),[]).
%
% cnf(154039328,plain,(ssitem(sk6)),inference(rewrite,[status(thm)],[co1_13]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[238892832,305764992,154012688,154039328]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------