TPTP Problem File: SWV373+1.p
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%------------------------------------------------------------------------------
% File : SWV373+1 : TPTP v8.2.0. Released v3.3.0.
% Domain : Software Verification
% Problem : Priority queue checker: lemma_not_contains_min_not_ok
% 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_l009 [Pis06]
% Status : Theorem
% Rating : 0.17 v8.1.0, 0.19 v7.5.0, 0.22 v7.4.0, 0.10 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.13 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.17 v6.2.0, 0.24 v6.1.0, 0.27 v6.0.0, 0.17 v5.5.0, 0.19 v5.4.0, 0.25 v5.3.0, 0.37 v5.2.0, 0.30 v5.1.0, 0.29 v5.0.0, 0.25 v4.1.0, 0.22 v4.0.0, 0.25 v3.7.0, 0.20 v3.5.0, 0.21 v3.4.0, 0.26 v3.3.0
% Syntax : Number of formulae : 43 ( 16 unt; 0 def)
% Number of atoms : 88 ( 30 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 61 ( 16 ~; 3 |; 14 &)
% ( 7 <=>; 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 : 123 ( 123 !; 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_ok_find_min (cpq_l010.p)
fof(l9_l10,lemma,
! [U,V,W] :
( ok(findmin_cpq_eff(triple(U,V,W)))
=> ( V != create_slb
& contains_slb(V,findmin_pqp_res(U))
& less_than(lookup_slb(V,findmin_pqp_res(U)),findmin_pqp_res(U)) ) ) ).
%----lemma_not_contains_min_not_ok (conjecture)
fof(l9_co,conjecture,
! [U,V,W] :
( ~ contains_cpq(triple(U,V,W),findmin_cpq_res(triple(U,V,W)))
=> ~ ok(findmin_cpq_eff(triple(U,V,W))) ) ).
%------------------------------------------------------------------------------