TSTP Solution File: SWC255-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWC255-1 : 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 16:13:37 EDT 2009
% Result : Unsatisfiable 9.7s
% Output : Refutation 9.7s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 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 : 6 ( 6 usr; 5 con; 0-2 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/SWC255-1.tptp',unknown),
[] ).
cnf(151222072,plain,
sslist(sk2),
inference(rewrite,[status(thm)],[co1_2]),
[] ).
fof(clause73,plain,
! [A] :
( ~ sslist(A)
| $equal(app(A,nil),A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC255-1.tptp',unknown),
[] ).
cnf(149523224,plain,
( ~ sslist(A)
| $equal(app(A,nil),A) ),
inference(rewrite,[status(thm)],[clause73]),
[] ).
cnf(248167456,plain,
$equal(app(sk2,nil),sk2),
inference(resolution,[status(thm)],[151222072,149523224]),
[] ).
fof(co1_7,plain,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC255-1.tptp',unknown),
[] ).
cnf(151262488,plain,
neq(sk2,nil),
inference(rewrite,[status(thm)],[co1_7]),
[] ).
cnf(369806008,plain,
neq(app(sk2,nil),nil),
inference(paramodulation,[status(thm)],[248167456,151262488,theory(equality)]),
[] ).
fof(co1_5,plain,
$equal(sk4,sk2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC255-1.tptp',unknown),
[] ).
cnf(151246456,plain,
$equal(sk4,sk2),
inference(rewrite,[status(thm)],[co1_5]),
[] ).
cnf(369778992,plain,
$equal(sk4,app(sk2,nil)),
inference(paramodulation,[status(thm)],[248167456,151246456,theory(equality)]),
[] ).
fof(co1_11,plain,
( singletonp(sk3)
| ~ neq(sk4,nil) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC255-1.tptp',unknown),
[] ).
cnf(151275480,plain,
( singletonp(sk3)
| ~ neq(sk4,nil) ),
inference(rewrite,[status(thm)],[co1_11]),
[] ).
fof(co1_12,plain,
( ~ singletonp(sk1)
| ~ neq(sk4,nil) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC255-1.tptp',unknown),
[] ).
cnf(151287496,plain,
( ~ singletonp(sk1)
| ~ neq(sk4,nil) ),
inference(rewrite,[status(thm)],[co1_12]),
[] ).
fof(co1_6,plain,
$equal(sk3,sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC255-1.tptp',unknown),
[] ).
cnf(148948208,plain,
$equal(sk3,sk1),
inference(rewrite,[status(thm)],[co1_6]),
[] ).
cnf(298199592,plain,
~ neq(sk4,nil),
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[151275480,151287496,148948208,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[369806008,369778992,298199592,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 9 seconds
% START OF PROOF SEQUENCE
% fof(co1_2,plain,(sslist(sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC255-1.tptp',unknown),[]).
%
% cnf(151222072,plain,(sslist(sk2)),inference(rewrite,[status(thm)],[co1_2]),[]).
%
% fof(clause73,plain,(~sslist(A)|$equal(app(A,nil),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC255-1.tptp',unknown),[]).
%
% cnf(149523224,plain,(~sslist(A)|$equal(app(A,nil),A)),inference(rewrite,[status(thm)],[clause73]),[]).
%
% cnf(248167456,plain,($equal(app(sk2,nil),sk2)),inference(resolution,[status(thm)],[151222072,149523224]),[]).
%
% fof(co1_7,plain,(neq(sk2,nil)|neq(sk2,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC255-1.tptp',unknown),[]).
%
% cnf(151262488,plain,(neq(sk2,nil)),inference(rewrite,[status(thm)],[co1_7]),[]).
%
% cnf(369806008,plain,(neq(app(sk2,nil),nil)),inference(paramodulation,[status(thm)],[248167456,151262488,theory(equality)]),[]).
%
% fof(co1_5,plain,($equal(sk4,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC255-1.tptp',unknown),[]).
%
% cnf(151246456,plain,($equal(sk4,sk2)),inference(rewrite,[status(thm)],[co1_5]),[]).
%
% cnf(369778992,plain,($equal(sk4,app(sk2,nil))),inference(paramodulation,[status(thm)],[248167456,151246456,theory(equality)]),[]).
%
% fof(co1_11,plain,(singletonp(sk3)|~neq(sk4,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC255-1.tptp',unknown),[]).
%
% cnf(151275480,plain,(singletonp(sk3)|~neq(sk4,nil)),inference(rewrite,[status(thm)],[co1_11]),[]).
%
% fof(co1_12,plain,(~singletonp(sk1)|~neq(sk4,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC255-1.tptp',unknown),[]).
%
% cnf(151287496,plain,(~singletonp(sk1)|~neq(sk4,nil)),inference(rewrite,[status(thm)],[co1_12]),[]).
%
% fof(co1_6,plain,($equal(sk3,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC255-1.tptp',unknown),[]).
%
% cnf(148948208,plain,($equal(sk3,sk1)),inference(rewrite,[status(thm)],[co1_6]),[]).
%
% cnf(298199592,plain,(~neq(sk4,nil)),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[151275480,151287496,148948208,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[369806008,369778992,298199592,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------