TPTP Problem File: SWV390+1.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : SWV390+1 : TPTP v9.0.0. Released v3.3.0.
% Domain : Software Verification
% Problem : Priority queue checker: tmp_not_check_01
% Version : [dNP05] axioms.
% English :
% Refs : [Pis06] Piskac (2006), Email to Geoff Sutcliffe
% : [dNP05] de Nivelle & Piskac (2005), Verification of an Off-Lin
% Source : [Pis06]
% Names : cpq_l026 [Pis06]
% Status : Theorem
% Rating : 0.21 v9.0.0, 0.22 v8.2.0, 0.25 v7.5.0, 0.28 v7.4.0, 0.20 v7.3.0, 0.24 v7.2.0, 0.21 v7.1.0, 0.22 v7.0.0, 0.23 v6.4.0, 0.27 v6.3.0, 0.33 v6.2.0, 0.36 v6.1.0, 0.37 v6.0.0, 0.26 v5.5.0, 0.33 v5.4.0, 0.43 v5.3.0, 0.52 v5.2.0, 0.40 v5.1.0, 0.38 v4.1.0, 0.35 v4.0.1, 0.39 v4.0.0, 0.42 v3.7.0, 0.35 v3.5.0, 0.37 v3.4.0, 0.47 v3.3.0
% Syntax : Number of formulae : 43 ( 16 unt; 0 def)
% Number of atoms : 87 ( 29 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 59 ( 15 ~; 3 |; 12 &)
% ( 8 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-3 aty)
% Number of variables : 126 ( 126 !; 0 ?)
% SPC : FOF_THM_RFO_SEQ
% Comments :
%------------------------------------------------------------------------------
%----Include the axioms about priority queues and checked priority queues
include('Axioms/SWV007+0.ax').
include('Axioms/SWV007+2.ax').
include('Axioms/SWV007+3.ax').
%------------------------------------------------------------------------------
%----lemma_check_characterization (cpq_l041.p, cpq_l042.p)
fof(l26_li4142,lemma,
! [U,V,W] :
( check_cpq(triple(U,V,W))
<=> ! [X,Y] :
( pair_in_list(V,X,Y)
=> less_than(Y,X) ) ) ).
%----tmp_not_check_01 (conjecture)
fof(l26_co,conjecture,
! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ! [X] : ~ check_cpq(insert_cpq(triple(U,V,W),X)) ) ).
%------------------------------------------------------------------------------