TSTP Solution File: SWC371-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWC371-1 : 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 16:17:39 EDT 2009
% Result : Unsatisfiable 13.1s
% Output : Refutation 13.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 21 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 52 ( 29 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(co1_3,plain,
sslist(sk3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC371-1.tptp',unknown),
[] ).
cnf(156470512,plain,
sslist(sk3),
inference(rewrite,[status(thm)],[co1_3]),
[] ).
fof(clause57,plain,
! [A] :
( ~ sslist(A)
| segmentp(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC371-1.tptp',unknown),
[] ).
cnf(154587592,plain,
( ~ sslist(A)
| segmentp(A,A) ),
inference(rewrite,[status(thm)],[clause57]),
[] ).
cnf(203152944,plain,
segmentp(sk3,sk3),
inference(resolution,[status(thm)],[156470512,154587592]),
[] ).
fof(co1_11,plain,
~ segmentp(sk2,sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC371-1.tptp',unknown),
[] ).
cnf(154177968,plain,
~ segmentp(sk2,sk1),
inference(rewrite,[status(thm)],[co1_11]),
[] ).
fof(co1_5,plain,
$equal(sk4,sk2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC371-1.tptp',unknown),
[] ).
cnf(156485704,plain,
$equal(sk4,sk2),
inference(rewrite,[status(thm)],[co1_5]),
[] ).
cnf(225879168,plain,
~ segmentp(sk4,sk1),
inference(paramodulation,[status(thm)],[154177968,156485704,theory(equality)]),
[] ).
fof(co1_6,plain,
$equal(sk3,sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC371-1.tptp',unknown),
[] ).
cnf(154178792,plain,
$equal(sk3,sk1),
inference(rewrite,[status(thm)],[co1_6]),
[] ).
cnf(225913936,plain,
~ segmentp(sk4,sk3),
inference(paramodulation,[status(thm)],[225879168,154178792,theory(equality)]),
[] ).
fof(co1_8,plain,
$equal(app(sk3,sk5),sk4),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC371-1.tptp',unknown),
[] ).
cnf(156510216,plain,
$equal(app(sk3,sk5),sk4),
inference(rewrite,[status(thm)],[co1_8]),
[] ).
cnf(225953864,plain,
~ segmentp(app(sk3,sk5),sk3),
inference(paramodulation,[status(thm)],[225913936,156510216,theory(equality)]),
[] ).
fof(clause74,plain,
! [A] :
( ~ sslist(A)
| $equal(app(nil,A),A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC371-1.tptp',unknown),
[] ).
cnf(154769480,plain,
( ~ sslist(A)
| $equal(app(nil,A),A) ),
inference(rewrite,[status(thm)],[clause74]),
[] ).
cnf(217177784,plain,
$equal(app(nil,sk3),sk3),
inference(resolution,[status(thm)],[154769480,156470512]),
[] ).
cnf(262287432,plain,
~ segmentp(app(app(nil,sk3),sk5),sk3),
inference(paramodulation,[status(thm)],[225953864,217177784,theory(equality)]),
[] ).
fof(clause172,plain,
! [A,B,C,D] :
( ~ segmentp(A,B)
| ~ sslist(C)
| ~ sslist(D)
| ~ sslist(B)
| ~ sslist(A)
| segmentp(app(app(D,A),C),B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC371-1.tptp',unknown),
[] ).
cnf(156152112,plain,
( ~ segmentp(A,B)
| ~ sslist(C)
| ~ sslist(D)
| ~ sslist(B)
| ~ sslist(A)
| segmentp(app(app(D,A),C),B) ),
inference(rewrite,[status(thm)],[clause172]),
[] ).
fof(clause8,plain,
sslist(nil),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC371-1.tptp',unknown),
[] ).
cnf(154268488,plain,
sslist(nil),
inference(rewrite,[status(thm)],[clause8]),
[] ).
cnf(197035944,plain,
( ~ segmentp(A,B)
| ~ sslist(C)
| ~ sslist(B)
| ~ sslist(A)
| segmentp(app(app(nil,A),C),B) ),
inference(resolution,[status(thm)],[156152112,154268488]),
[] ).
cnf(213958304,plain,
( ~ segmentp(A,sk3)
| ~ sslist(B)
| ~ sslist(A)
| segmentp(app(app(nil,A),B),sk3) ),
inference(resolution,[status(thm)],[197035944,156470512]),
[] ).
fof(co1_7,plain,
sslist(sk5),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC371-1.tptp',unknown),
[] ).
cnf(156505072,plain,
sslist(sk5),
inference(rewrite,[status(thm)],[co1_7]),
[] ).
cnf(423237456,plain,
( ~ segmentp(A,sk3)
| ~ sslist(A)
| segmentp(app(app(nil,A),sk5),sk3) ),
inference(resolution,[status(thm)],[213958304,156505072]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[203152944,262287432,423237456,156470512]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 13 seconds
% START OF PROOF SEQUENCE
% fof(co1_3,plain,(sslist(sk3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC371-1.tptp',unknown),[]).
%
% cnf(156470512,plain,(sslist(sk3)),inference(rewrite,[status(thm)],[co1_3]),[]).
%
% fof(clause57,plain,(~sslist(A)|segmentp(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC371-1.tptp',unknown),[]).
%
% cnf(154587592,plain,(~sslist(A)|segmentp(A,A)),inference(rewrite,[status(thm)],[clause57]),[]).
%
% cnf(203152944,plain,(segmentp(sk3,sk3)),inference(resolution,[status(thm)],[156470512,154587592]),[]).
%
% fof(co1_11,plain,(~segmentp(sk2,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC371-1.tptp',unknown),[]).
%
% cnf(154177968,plain,(~segmentp(sk2,sk1)),inference(rewrite,[status(thm)],[co1_11]),[]).
%
% fof(co1_5,plain,($equal(sk4,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC371-1.tptp',unknown),[]).
%
% cnf(156485704,plain,($equal(sk4,sk2)),inference(rewrite,[status(thm)],[co1_5]),[]).
%
% cnf(225879168,plain,(~segmentp(sk4,sk1)),inference(paramodulation,[status(thm)],[154177968,156485704,theory(equality)]),[]).
%
% fof(co1_6,plain,($equal(sk3,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC371-1.tptp',unknown),[]).
%
% cnf(154178792,plain,($equal(sk3,sk1)),inference(rewrite,[status(thm)],[co1_6]),[]).
%
% cnf(225913936,plain,(~segmentp(sk4,sk3)),inference(paramodulation,[status(thm)],[225879168,154178792,theory(equality)]),[]).
%
% fof(co1_8,plain,($equal(app(sk3,sk5),sk4)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC371-1.tptp',unknown),[]).
%
% cnf(156510216,plain,($equal(app(sk3,sk5),sk4)),inference(rewrite,[status(thm)],[co1_8]),[]).
%
% cnf(225953864,plain,(~segmentp(app(sk3,sk5),sk3)),inference(paramodulation,[status(thm)],[225913936,156510216,theory(equality)]),[]).
%
% fof(clause74,plain,(~sslist(A)|$equal(app(nil,A),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC371-1.tptp',unknown),[]).
%
% cnf(154769480,plain,(~sslist(A)|$equal(app(nil,A),A)),inference(rewrite,[status(thm)],[clause74]),[]).
%
% cnf(217177784,plain,($equal(app(nil,sk3),sk3)),inference(resolution,[status(thm)],[154769480,156470512]),[]).
%
% cnf(262287432,plain,(~segmentp(app(app(nil,sk3),sk5),sk3)),inference(paramodulation,[status(thm)],[225953864,217177784,theory(equality)]),[]).
%
% fof(clause172,plain,(~segmentp(A,B)|~sslist(C)|~sslist(D)|~sslist(B)|~sslist(A)|segmentp(app(app(D,A),C),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC371-1.tptp',unknown),[]).
%
% cnf(156152112,plain,(~segmentp(A,B)|~sslist(C)|~sslist(D)|~sslist(B)|~sslist(A)|segmentp(app(app(D,A),C),B)),inference(rewrite,[status(thm)],[clause172]),[]).
%
% fof(clause8,plain,(sslist(nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC371-1.tptp',unknown),[]).
%
% cnf(154268488,plain,(sslist(nil)),inference(rewrite,[status(thm)],[clause8]),[]).
%
% cnf(197035944,plain,(~segmentp(A,B)|~sslist(C)|~sslist(B)|~sslist(A)|segmentp(app(app(nil,A),C),B)),inference(resolution,[status(thm)],[156152112,154268488]),[]).
%
% cnf(213958304,plain,(~segmentp(A,sk3)|~sslist(B)|~sslist(A)|segmentp(app(app(nil,A),B),sk3)),inference(resolution,[status(thm)],[197035944,156470512]),[]).
%
% fof(co1_7,plain,(sslist(sk5)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC371-1.tptp',unknown),[]).
%
% cnf(156505072,plain,(sslist(sk5)),inference(rewrite,[status(thm)],[co1_7]),[]).
%
% cnf(423237456,plain,(~segmentp(A,sk3)|~sslist(A)|segmentp(app(app(nil,A),sk5),sk3)),inference(resolution,[status(thm)],[213958304,156505072]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[203152944,262287432,423237456,156470512]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------