TPTP Problem File: SWV377+1.p

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%------------------------------------------------------------------------------
% File     : SWV377+1 : TPTP v7.4.0. Released v3.3.0.
% Domain   : Software Verification
% Problem  : Priority queue checker: lemma_not_ok_persistence_induction step 1
% 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_l013 [Pis06]

% Status   : Theorem
% Rating   : 0.25 v7.4.0, 0.17 v7.3.0, 0.21 v7.1.0, 0.17 v7.0.0, 0.20 v6.4.0, 0.27 v6.3.0, 0.25 v6.2.0, 0.28 v6.1.0, 0.27 v6.0.0, 0.22 v5.5.0, 0.30 v5.4.0, 0.36 v5.3.0, 0.33 v5.2.0, 0.25 v5.1.0, 0.24 v5.0.0, 0.21 v4.1.0, 0.22 v4.0.1, 0.30 v4.0.0, 0.33 v3.7.0, 0.30 v3.5.0, 0.26 v3.4.0, 0.21 v3.3.0
% Syntax   : Number of formulae    :   42 (  16 unit)
%            Number of atoms       :   84 (  29 equality)
%            Maximal formula depth :    9 (   5 average)
%            Number of connectives :   57 (  15 ~  ;   3  |;  12  &)
%                                         (   7 <=>;  20 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :   11 (   1 propositional; 0-3 arity)
%            Number of functors    :   18 (   3 constant; 0-3 arity)
%            Number of variables   :  121 (   4 singleton; 121 !;   0 ?)
%            Maximal term depth    :    4 (   2 average)
% 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').
%------------------------------------------------------------------------------
%----goal: fof(l12_l13, lemma, (! [U,V,W] : (~(ok(triple(U,V,W))) =>
%----     ~(ok(im_succ_cpq(triple(U,V,W))))))).

%----step1: insert (conjecture)
fof(l13_co,conjecture,(
    ! [U,V,W,X] :
      ( ~ ok(triple(U,V,W))
     => ~ ok(insert_cpq(triple(U,V,W),X)) ) )).
%------------------------------------------------------------------------------