TSTP Solution File: SWC351-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWC351-1 : 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 16:16:23 EDT 2009
% Result : Unsatisfiable 5.7s
% Output : Refutation 5.7s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 17 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 35 ( 20 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(co1_12,plain,
~ frontsegp(sk2,sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC351-1.tptp',unknown),
[] ).
cnf(175916536,plain,
~ frontsegp(sk2,sk1),
inference(rewrite,[status(thm)],[co1_12]),
[] ).
fof(co1_5,plain,
$equal(sk4,sk2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC351-1.tptp',unknown),
[] ).
cnf(178224256,plain,
$equal(sk4,sk2),
inference(rewrite,[status(thm)],[co1_5]),
[] ).
cnf(234092280,plain,
~ frontsegp(sk4,sk1),
inference(paramodulation,[status(thm)],[175916536,178224256,theory(equality)]),
[] ).
fof(co1_6,plain,
$equal(sk3,sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC351-1.tptp',unknown),
[] ).
cnf(175917360,plain,
$equal(sk3,sk1),
inference(rewrite,[status(thm)],[co1_6]),
[] ).
cnf(234127928,plain,
~ frontsegp(sk4,sk3),
inference(paramodulation,[status(thm)],[234092280,175917360,theory(equality)]),
[] ).
fof(co1_9,plain,
$equal(app(sk3,sk5),sk4),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC351-1.tptp',unknown),
[] ).
cnf(178259944,plain,
$equal(app(sk3,sk5),sk4),
inference(rewrite,[status(thm)],[co1_9]),
[] ).
cnf(234167864,plain,
~ frontsegp(app(sk3,sk5),sk3),
inference(paramodulation,[status(thm)],[234127928,178259944,theory(equality)]),
[] ).
fof(co1_3,plain,
sslist(sk3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC351-1.tptp',unknown),
[] ).
cnf(178209064,plain,
sslist(sk3),
inference(rewrite,[status(thm)],[co1_3]),
[] ).
fof(clause61,plain,
! [A] :
( ~ sslist(A)
| frontsegp(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC351-1.tptp',unknown),
[] ).
cnf(176363592,plain,
( ~ sslist(A)
| frontsegp(A,A) ),
inference(rewrite,[status(thm)],[clause61]),
[] ).
cnf(229764936,plain,
frontsegp(sk3,sk3),
inference(resolution,[status(thm)],[178209064,176363592]),
[] ).
fof(clause137,plain,
! [A,B,C] :
( ~ frontsegp(A,B)
| ~ sslist(C)
| ~ sslist(B)
| ~ sslist(A)
| frontsegp(app(A,C),B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC351-1.tptp',unknown),
[] ).
cnf(177340040,plain,
( ~ frontsegp(A,B)
| ~ sslist(C)
| ~ sslist(B)
| ~ sslist(A)
| frontsegp(app(A,C),B) ),
inference(rewrite,[status(thm)],[clause137]),
[] ).
cnf(273921376,plain,
( ~ frontsegp(A,sk3)
| ~ sslist(B)
| ~ sslist(A)
| frontsegp(app(A,B),sk3) ),
inference(resolution,[status(thm)],[177340040,178209064]),
[] ).
fof(co1_8,plain,
sslist(sk5),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC351-1.tptp',unknown),
[] ).
cnf(178250712,plain,
sslist(sk5),
inference(rewrite,[status(thm)],[co1_8]),
[] ).
cnf(308154384,plain,
( ~ frontsegp(A,sk3)
| ~ sslist(A)
| frontsegp(app(A,sk5),sk3) ),
inference(resolution,[status(thm)],[273921376,178250712]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[234167864,229764936,308154384,178209064]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 5 seconds
% START OF PROOF SEQUENCE
% fof(co1_12,plain,(~frontsegp(sk2,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC351-1.tptp',unknown),[]).
%
% cnf(175916536,plain,(~frontsegp(sk2,sk1)),inference(rewrite,[status(thm)],[co1_12]),[]).
%
% fof(co1_5,plain,($equal(sk4,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC351-1.tptp',unknown),[]).
%
% cnf(178224256,plain,($equal(sk4,sk2)),inference(rewrite,[status(thm)],[co1_5]),[]).
%
% cnf(234092280,plain,(~frontsegp(sk4,sk1)),inference(paramodulation,[status(thm)],[175916536,178224256,theory(equality)]),[]).
%
% fof(co1_6,plain,($equal(sk3,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC351-1.tptp',unknown),[]).
%
% cnf(175917360,plain,($equal(sk3,sk1)),inference(rewrite,[status(thm)],[co1_6]),[]).
%
% cnf(234127928,plain,(~frontsegp(sk4,sk3)),inference(paramodulation,[status(thm)],[234092280,175917360,theory(equality)]),[]).
%
% fof(co1_9,plain,($equal(app(sk3,sk5),sk4)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC351-1.tptp',unknown),[]).
%
% cnf(178259944,plain,($equal(app(sk3,sk5),sk4)),inference(rewrite,[status(thm)],[co1_9]),[]).
%
% cnf(234167864,plain,(~frontsegp(app(sk3,sk5),sk3)),inference(paramodulation,[status(thm)],[234127928,178259944,theory(equality)]),[]).
%
% fof(co1_3,plain,(sslist(sk3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC351-1.tptp',unknown),[]).
%
% cnf(178209064,plain,(sslist(sk3)),inference(rewrite,[status(thm)],[co1_3]),[]).
%
% fof(clause61,plain,(~sslist(A)|frontsegp(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC351-1.tptp',unknown),[]).
%
% cnf(176363592,plain,(~sslist(A)|frontsegp(A,A)),inference(rewrite,[status(thm)],[clause61]),[]).
%
% cnf(229764936,plain,(frontsegp(sk3,sk3)),inference(resolution,[status(thm)],[178209064,176363592]),[]).
%
% fof(clause137,plain,(~frontsegp(A,B)|~sslist(C)|~sslist(B)|~sslist(A)|frontsegp(app(A,C),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC351-1.tptp',unknown),[]).
%
% cnf(177340040,plain,(~frontsegp(A,B)|~sslist(C)|~sslist(B)|~sslist(A)|frontsegp(app(A,C),B)),inference(rewrite,[status(thm)],[clause137]),[]).
%
% cnf(273921376,plain,(~frontsegp(A,sk3)|~sslist(B)|~sslist(A)|frontsegp(app(A,B),sk3)),inference(resolution,[status(thm)],[177340040,178209064]),[]).
%
% fof(co1_8,plain,(sslist(sk5)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC351-1.tptp',unknown),[]).
%
% cnf(178250712,plain,(sslist(sk5)),inference(rewrite,[status(thm)],[co1_8]),[]).
%
% cnf(308154384,plain,(~frontsegp(A,sk3)|~sslist(A)|frontsegp(app(A,sk5),sk3)),inference(resolution,[status(thm)],[273921376,178250712]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[234167864,229764936,308154384,178209064]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------