TSTP Solution File: SWV402+1 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV402+1 : TPTP v3.4.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art06.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 16:34:50 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 4 unt; 0 def)
% Number of atoms : 7 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 0 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 4 ( 2 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(l38_co,plain,
( pair_in_list(create_slb,v,w)
& strictly_less_than(w,x)
& ~ pair_in_list(update_slb(create_slb,x),v,x) ),
file('/tmp/SystemOnTPTP29652/SWV402+1.p',unknown),
[] ).
cnf(145414392,plain,
pair_in_list(create_slb,v,w),
inference(rewrite,[status(thm)],[l38_co]),
[] ).
fof(ax22,plain,
! [A,B] : ~ pair_in_list(create_slb,A,B),
file('/tmp/SystemOnTPTP29652/SWV402+1.p',unknown),
[] ).
cnf(145164496,plain,
~ pair_in_list(create_slb,A,B),
inference(rewrite,[status(thm)],[ax22]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[145414392,145164496]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(l38_co,plain,((pair_in_list(create_slb,v,w)&strictly_less_than(w,x)&~pair_in_list(update_slb(create_slb,x),v,x))),file('/tmp/SystemOnTPTP29652/SWV402+1.p',unknown),[]).
%
% cnf(145414392,plain,(pair_in_list(create_slb,v,w)),inference(rewrite,[status(thm)],[l38_co]),[]).
%
% fof(ax22,plain,(~pair_in_list(create_slb,A,B)),file('/tmp/SystemOnTPTP29652/SWV402+1.p',unknown),[]).
%
% cnf(145164496,plain,(~pair_in_list(create_slb,A,B)),inference(rewrite,[status(thm)],[ax22]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[145414392,145164496]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------