TSTP Solution File: SWC328-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWC328-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art04.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 16:15:37 EDT 2009
% Result : Unsatisfiable 10.0s
% Output : Refutation 10.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 21 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause73,plain,
! [A] :
( ~ sslist(A)
| $equal(app(A,nil),A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),
[] ).
cnf(172242672,plain,
( ~ sslist(A)
| $equal(app(A,nil),A) ),
inference(rewrite,[status(thm)],[clause73]),
[] ).
fof(clause8,plain,
sslist(nil),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),
[] ).
cnf(171752832,plain,
sslist(nil),
inference(rewrite,[status(thm)],[clause8]),
[] ).
cnf(201766880,plain,
$equal(app(nil,nil),nil),
inference(resolution,[status(thm)],[172242672,171752832]),
[] ).
fof(clause1,plain,
equalelemsp(nil),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),
[] ).
cnf(171678400,plain,
equalelemsp(nil),
inference(rewrite,[status(thm)],[clause1]),
[] ).
cnf(231827736,plain,
equalelemsp(app(nil,nil)),
inference(paramodulation,[status(thm)],[201766880,171678400,theory(equality)]),
[] ).
fof(co1_5,plain,
$equal(sk3,nil),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),
[] ).
cnf(173965896,plain,
$equal(sk3,nil),
inference(rewrite,[status(thm)],[co1_5]),
[] ).
cnf(388447064,plain,
equalelemsp(app(sk3,nil)),
inference(paramodulation,[status(thm)],[231827736,173965896,theory(equality)]),
[] ).
fof(co1_3,plain,
sslist(sk3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),
[] ).
cnf(173950768,plain,
sslist(sk3),
inference(rewrite,[status(thm)],[co1_3]),
[] ).
cnf(215585152,plain,
$equal(app(sk3,nil),sk3),
inference(resolution,[status(thm)],[172242672,173950768]),
[] ).
fof(co1_2,plain,
sslist(sk2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),
[] ).
cnf(173941512,plain,
sslist(sk2),
inference(rewrite,[status(thm)],[co1_2]),
[] ).
fof(clause56,plain,
! [A] :
( ~ sslist(A)
| segmentp(A,nil) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),
[] ).
cnf(172065272,plain,
( ~ sslist(A)
| segmentp(A,nil) ),
inference(rewrite,[status(thm)],[clause56]),
[] ).
cnf(209422672,plain,
segmentp(sk2,nil),
inference(resolution,[status(thm)],[173941512,172065272]),
[] ).
cnf(227294448,plain,
segmentp(sk2,sk3),
inference(paramodulation,[status(thm)],[209422672,173965896,theory(equality)]),
[] ).
fof(co1_8,plain,
( ~ segmentp(sk2,sk1)
| ~ equalelemsp(sk1) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),
[] ).
cnf(173992088,plain,
( ~ segmentp(sk2,sk1)
| ~ equalelemsp(sk1) ),
inference(rewrite,[status(thm)],[co1_8]),
[] ).
fof(co1_7,plain,
$equal(sk3,sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),
[] ).
cnf(173981128,plain,
$equal(sk3,sk1),
inference(rewrite,[status(thm)],[co1_7]),
[] ).
cnf(231063232,plain,
~ equalelemsp(sk1),
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[227294448,173992088,173981128,theory(equality)]),
[] ).
cnf(231112680,plain,
~ equalelemsp(sk3),
inference(paramodulation,[status(thm)],[231063232,173981128,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[388447064,215585152,231112680,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 10 seconds
% START OF PROOF SEQUENCE
% fof(clause73,plain,(~sslist(A)|$equal(app(A,nil),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),[]).
%
% cnf(172242672,plain,(~sslist(A)|$equal(app(A,nil),A)),inference(rewrite,[status(thm)],[clause73]),[]).
%
% fof(clause8,plain,(sslist(nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),[]).
%
% cnf(171752832,plain,(sslist(nil)),inference(rewrite,[status(thm)],[clause8]),[]).
%
% cnf(201766880,plain,($equal(app(nil,nil),nil)),inference(resolution,[status(thm)],[172242672,171752832]),[]).
%
% fof(clause1,plain,(equalelemsp(nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),[]).
%
% cnf(171678400,plain,(equalelemsp(nil)),inference(rewrite,[status(thm)],[clause1]),[]).
%
% cnf(231827736,plain,(equalelemsp(app(nil,nil))),inference(paramodulation,[status(thm)],[201766880,171678400,theory(equality)]),[]).
%
% fof(co1_5,plain,($equal(sk3,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),[]).
%
% cnf(173965896,plain,($equal(sk3,nil)),inference(rewrite,[status(thm)],[co1_5]),[]).
%
% cnf(388447064,plain,(equalelemsp(app(sk3,nil))),inference(paramodulation,[status(thm)],[231827736,173965896,theory(equality)]),[]).
%
% fof(co1_3,plain,(sslist(sk3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),[]).
%
% cnf(173950768,plain,(sslist(sk3)),inference(rewrite,[status(thm)],[co1_3]),[]).
%
% cnf(215585152,plain,($equal(app(sk3,nil),sk3)),inference(resolution,[status(thm)],[172242672,173950768]),[]).
%
% fof(co1_2,plain,(sslist(sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),[]).
%
% cnf(173941512,plain,(sslist(sk2)),inference(rewrite,[status(thm)],[co1_2]),[]).
%
% fof(clause56,plain,(~sslist(A)|segmentp(A,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),[]).
%
% cnf(172065272,plain,(~sslist(A)|segmentp(A,nil)),inference(rewrite,[status(thm)],[clause56]),[]).
%
% cnf(209422672,plain,(segmentp(sk2,nil)),inference(resolution,[status(thm)],[173941512,172065272]),[]).
%
% cnf(227294448,plain,(segmentp(sk2,sk3)),inference(paramodulation,[status(thm)],[209422672,173965896,theory(equality)]),[]).
%
% fof(co1_8,plain,(~segmentp(sk2,sk1)|~equalelemsp(sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),[]).
%
% cnf(173992088,plain,(~segmentp(sk2,sk1)|~equalelemsp(sk1)),inference(rewrite,[status(thm)],[co1_8]),[]).
%
% fof(co1_7,plain,($equal(sk3,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC328-1.tptp',unknown),[]).
%
% cnf(173981128,plain,($equal(sk3,sk1)),inference(rewrite,[status(thm)],[co1_7]),[]).
%
% cnf(231063232,plain,(~equalelemsp(sk1)),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[227294448,173992088,173981128,theory(equality)]),[]).
%
% cnf(231112680,plain,(~equalelemsp(sk3)),inference(paramodulation,[status(thm)],[231063232,173981128,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[388447064,215585152,231112680,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------