TSTP Solution File: SWC276-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWC276-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art07.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 16:14:20 EDT 2009
% Result : Unsatisfiable 1.5s
% Output : Refutation 1.5s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 10 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 5 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 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_9,plain,
( ssitem(sk5)
| $equal(sk3,nil) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC276-1.tptp',unknown),
[] ).
cnf(158550176,plain,
( ssitem(sk5)
| $equal(sk3,nil) ),
inference(rewrite,[status(thm)],[co1_9]),
[] ).
fof(clause67,plain,
! [A] :
( ~ ssitem(A)
| totalorderedp(cons(A,nil)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC276-1.tptp',unknown),
[] ).
cnf(156716904,plain,
( ~ ssitem(A)
| totalorderedp(cons(A,nil)) ),
inference(rewrite,[status(thm)],[clause67]),
[] ).
cnf(212104728,plain,
( $equal(sk3,nil)
| totalorderedp(cons(sk5,nil)) ),
inference(resolution,[status(thm)],[158550176,156716904]),
[] ).
fof(co1_7,plain,
~ totalorderedp(sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC276-1.tptp',unknown),
[] ).
cnf(158532792,plain,
~ totalorderedp(sk1),
inference(rewrite,[status(thm)],[co1_7]),
[] ).
fof(co1_6,plain,
$equal(sk3,sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC276-1.tptp',unknown),
[] ).
cnf(156206560,plain,
$equal(sk3,sk1),
inference(rewrite,[status(thm)],[co1_6]),
[] ).
cnf(233522568,plain,
~ totalorderedp(sk3),
inference(paramodulation,[status(thm)],[158532792,156206560,theory(equality)]),
[] ).
fof(co1_12,plain,
( $equal(cons(sk5,nil),sk3)
| $equal(sk3,nil) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC276-1.tptp',unknown),
[] ).
cnf(158584144,plain,
( $equal(cons(sk5,nil),sk3)
| $equal(sk3,nil) ),
inference(rewrite,[status(thm)],[co1_12]),
[] ).
cnf(233545192,plain,
$equal(sk3,nil),
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[212104728,233522568,158584144,theory(equality)]),
[] ).
fof(clause4,plain,
totalorderedp(nil),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC276-1.tptp',unknown),
[] ).
cnf(156247840,plain,
totalorderedp(nil),
inference(rewrite,[status(thm)],[clause4]),
[] ).
cnf(233773488,plain,
totalorderedp(sk3),
inference(paramodulation,[status(thm)],[233545192,156247840,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[233773488,233522568]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(co1_9,plain,(ssitem(sk5)|$equal(sk3,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC276-1.tptp',unknown),[]).
%
% cnf(158550176,plain,(ssitem(sk5)|$equal(sk3,nil)),inference(rewrite,[status(thm)],[co1_9]),[]).
%
% fof(clause67,plain,(~ssitem(A)|totalorderedp(cons(A,nil))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC276-1.tptp',unknown),[]).
%
% cnf(156716904,plain,(~ssitem(A)|totalorderedp(cons(A,nil))),inference(rewrite,[status(thm)],[clause67]),[]).
%
% cnf(212104728,plain,($equal(sk3,nil)|totalorderedp(cons(sk5,nil))),inference(resolution,[status(thm)],[158550176,156716904]),[]).
%
% fof(co1_7,plain,(~totalorderedp(sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC276-1.tptp',unknown),[]).
%
% cnf(158532792,plain,(~totalorderedp(sk1)),inference(rewrite,[status(thm)],[co1_7]),[]).
%
% fof(co1_6,plain,($equal(sk3,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC276-1.tptp',unknown),[]).
%
% cnf(156206560,plain,($equal(sk3,sk1)),inference(rewrite,[status(thm)],[co1_6]),[]).
%
% cnf(233522568,plain,(~totalorderedp(sk3)),inference(paramodulation,[status(thm)],[158532792,156206560,theory(equality)]),[]).
%
% fof(co1_12,plain,($equal(cons(sk5,nil),sk3)|$equal(sk3,nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC276-1.tptp',unknown),[]).
%
% cnf(158584144,plain,($equal(cons(sk5,nil),sk3)|$equal(sk3,nil)),inference(rewrite,[status(thm)],[co1_12]),[]).
%
% cnf(233545192,plain,($equal(sk3,nil)),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[212104728,233522568,158584144,theory(equality)]),[]).
%
% fof(clause4,plain,(totalorderedp(nil)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC276-1.tptp',unknown),[]).
%
% cnf(156247840,plain,(totalorderedp(nil)),inference(rewrite,[status(thm)],[clause4]),[]).
%
% cnf(233773488,plain,(totalorderedp(sk3)),inference(paramodulation,[status(thm)],[233545192,156247840,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[233773488,233522568]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------